0.001 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.176 * * * [progress]: [2/2] Setting up program. 0.184 * [progress]: [Phase 2 of 3] Improving. 0.184 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.185 * [simplify]: Simplifying (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) 0.185 * * [simplify]: iters left: 6 (17 enodes) 0.193 * * [simplify]: iters left: 5 (66 enodes) 0.250 * * [simplify]: iters left: 4 (115 enodes) 0.302 * * [simplify]: iters left: 3 (316 enodes) 0.505 * * [simplify]: Extracting #0: cost 1 inf + 0 0.506 * * [simplify]: Extracting #1: cost 4 inf + 0 0.506 * * [simplify]: Extracting #2: cost 5 inf + 1 0.506 * * [simplify]: Extracting #3: cost 21 inf + 1 0.506 * * [simplify]: Extracting #4: cost 141 inf + 1 0.507 * * [simplify]: Extracting #5: cost 198 inf + 87 0.508 * * [simplify]: Extracting #6: cost 200 inf + 1646 0.510 * * [simplify]: Extracting #7: cost 138 inf + 13192 0.520 * * [simplify]: Extracting #8: cost 16 inf + 50477 0.533 * * [simplify]: Extracting #9: cost 0 inf + 55914 0.555 * [simplify]: Simplified to (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) R) 0.555 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) R)) 0.564 * * [progress]: iteration 1 / 4 0.564 * * * [progress]: picking best candidate 0.572 * * * * [pick]: Picked # 0.572 * * * [progress]: localizing error 0.617 * * * [progress]: generating rewritten candidates 0.617 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.734 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2 2) 0.748 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 2) 0.762 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 1.167 * * * [progress]: generating series expansions 1.167 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.168 * [backup-simplify]: Simplify (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) into (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) 1.168 * [approximate]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in (lambda1 lambda2 phi1 phi2) around 0 1.168 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in phi2 1.168 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in phi2 1.168 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in phi2 1.168 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in phi2 1.168 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 1.168 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 1.168 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 1.168 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.168 * [backup-simplify]: Simplify 1/2 into 1/2 1.168 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 1.168 * [taylor]: Taking taylor expansion of phi1 in phi2 1.168 * [backup-simplify]: Simplify phi1 into phi1 1.168 * [taylor]: Taking taylor expansion of phi2 in phi2 1.168 * [backup-simplify]: Simplify 0 into 0 1.168 * [backup-simplify]: Simplify 1 into 1 1.168 * [backup-simplify]: Simplify (+ phi1 0) into phi1 1.168 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 1.168 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 1.168 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 1.169 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 1.169 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0 1.170 * [backup-simplify]: Simplify (- 0) into 0 1.170 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 1.170 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi2 1.170 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.170 * [backup-simplify]: Simplify lambda1 into lambda1 1.170 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in phi2 1.170 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2 1.170 * [taylor]: Taking taylor expansion of phi2 in phi2 1.170 * [backup-simplify]: Simplify 0 into 0 1.170 * [backup-simplify]: Simplify 1 into 1 1.170 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in phi2 1.170 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi2 1.170 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi2 1.170 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.170 * [backup-simplify]: Simplify lambda2 into lambda2 1.170 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 1.170 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 1.170 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 1.170 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.170 * [backup-simplify]: Simplify 1/2 into 1/2 1.170 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 1.170 * [taylor]: Taking taylor expansion of phi1 in phi2 1.170 * [backup-simplify]: Simplify phi1 into phi1 1.170 * [taylor]: Taking taylor expansion of phi2 in phi2 1.170 * [backup-simplify]: Simplify 0 into 0 1.170 * [backup-simplify]: Simplify 1 into 1 1.170 * [backup-simplify]: Simplify (+ phi1 0) into phi1 1.171 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 1.171 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 1.171 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 1.171 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 1.171 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0 1.171 * [backup-simplify]: Simplify (- 0) into 0 1.171 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 1.171 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi2 1.171 * [taylor]: Taking taylor expansion of phi1 in phi2 1.171 * [backup-simplify]: Simplify phi1 into phi1 1.171 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in phi2 1.172 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi2 1.172 * [taylor]: Taking taylor expansion of 2 in phi2 1.172 * [backup-simplify]: Simplify 2 into 2 1.172 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi2 1.172 * [taylor]: Taking taylor expansion of phi1 in phi2 1.172 * [backup-simplify]: Simplify phi1 into phi1 1.172 * [taylor]: Taking taylor expansion of phi2 in phi2 1.172 * [backup-simplify]: Simplify 0 into 0 1.172 * [backup-simplify]: Simplify 1 into 1 1.172 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in phi2 1.172 * [taylor]: Taking taylor expansion of 2 in phi2 1.172 * [backup-simplify]: Simplify 2 into 2 1.172 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in phi2 1.172 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 1.172 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 1.172 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 1.172 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.172 * [backup-simplify]: Simplify 1/2 into 1/2 1.172 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 1.172 * [taylor]: Taking taylor expansion of phi1 in phi2 1.172 * [backup-simplify]: Simplify phi1 into phi1 1.172 * [taylor]: Taking taylor expansion of phi2 in phi2 1.172 * [backup-simplify]: Simplify 0 into 0 1.172 * [backup-simplify]: Simplify 1 into 1 1.172 * [backup-simplify]: Simplify (+ phi1 0) into phi1 1.172 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 1.172 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 1.172 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 1.172 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 1.173 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0 1.173 * [backup-simplify]: Simplify (- 0) into 0 1.173 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 1.173 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi2 1.173 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.173 * [backup-simplify]: Simplify lambda2 into lambda2 1.173 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.173 * [backup-simplify]: Simplify lambda1 into lambda1 1.173 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2) 1.173 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 1.174 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) into (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) 1.174 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1.174 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2) 1.174 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) 1.174 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 1.174 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) 1.175 * [backup-simplify]: Simplify (+ 0 (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) 1.175 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) 1.175 * [backup-simplify]: Simplify (* phi1 0) into 0 1.176 * [backup-simplify]: Simplify (* 2 0) into 0 1.176 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2) 1.176 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 1.176 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi1)) 2) (* lambda2 lambda1)) into (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)) 1.176 * [backup-simplify]: Simplify (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))) into (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))) 1.177 * [backup-simplify]: Simplify (+ 0 (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) into (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))) 1.177 * [backup-simplify]: Simplify (- (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) into (- (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) 1.178 * [backup-simplify]: Simplify (+ (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (- (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))) into (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) 1.179 * [backup-simplify]: Simplify (sqrt (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))) into (sqrt (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))) 1.179 * [backup-simplify]: Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0 1.180 * [backup-simplify]: Simplify (+ 0) into 0 1.180 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0 1.181 * [backup-simplify]: Simplify (+ 0 1) into 1 1.182 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi1)) into 1/2 1.183 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 1.183 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1))) 1.183 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1)))) 1.183 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1)))) 1.184 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) (- (* 1/2 (sin (* 1/2 phi1))))) (* (- (* 1/2 (sin (* 1/2 phi1)))) (cos (* 1/2 phi1)))) into (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) 1.184 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi1)) 2) 0) (* (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) (pow lambda1 2))) into (- (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2)))) 1.184 * [backup-simplify]: Simplify (+ 0) into 0 1.185 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0 1.185 * [backup-simplify]: Simplify (+ 0 1) into 1 1.186 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi1)) into 1/2 1.187 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 1.187 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1))) 1.187 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1)))) 1.187 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1)))) 1.188 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) (- (* 1/2 (sin (* 1/2 phi1))))) (* (- (* 1/2 (sin (* 1/2 phi1)))) (cos (* 1/2 phi1)))) into (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) 1.188 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 1.188 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) (* 0 (pow (cos (* 1/2 phi1)) 2))) into (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) 1.188 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 1.188 * [backup-simplify]: Simplify (+ (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) 0) into (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) 1.189 * [backup-simplify]: Simplify (+ 0 (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))) into (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) 1.189 * [backup-simplify]: Simplify (+ (- (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2)))) (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))) into (- (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))) 1.190 * [backup-simplify]: Simplify (+ (* phi1 1) (* 0 0)) into phi1 1.190 * [backup-simplify]: Simplify (+ (* 2 phi1) (* 0 0)) into (* 2 phi1) 1.191 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda1)) into 0 1.191 * [backup-simplify]: Simplify (+ 0) into 0 1.191 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0 1.192 * [backup-simplify]: Simplify (+ 0 1) into 1 1.192 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi1)) into 1/2 1.193 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 1.194 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1))) 1.194 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1)))) 1.194 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1)))) 1.194 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) (- (* 1/2 (sin (* 1/2 phi1))))) (* (- (* 1/2 (sin (* 1/2 phi1)))) (cos (* 1/2 phi1)))) into (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) 1.195 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi1)) 2) 0) (* (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) (* lambda2 lambda1))) into (- (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) 1.195 * [backup-simplify]: Simplify (+ (* 2 (- (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1))))) (* 0 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) into (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1))))) 1.196 * [backup-simplify]: Simplify (+ (* 2 phi1) (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))))) into (- (* 2 phi1) (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1))))) 1.196 * [backup-simplify]: Simplify (- (- (* 2 phi1) (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))))) into (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (* 2 phi1)) 1.197 * [backup-simplify]: Simplify (+ (- (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))) (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (* 2 phi1))) into (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (+ (* 2 phi1) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))))) 1.199 * [backup-simplify]: Simplify (/ (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (+ (* 2 phi1) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))))) (* 2 (sqrt (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))))) into (* 1/2 (* (sqrt (/ 1 (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))))) (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (+ (* 2 phi1) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))))))) 1.199 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in phi1 1.199 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in phi1 1.199 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in phi1 1.199 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in phi1 1.199 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 1.200 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1.200 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1.200 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.200 * [backup-simplify]: Simplify 1/2 into 1/2 1.200 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 1.200 * [taylor]: Taking taylor expansion of phi1 in phi1 1.200 * [backup-simplify]: Simplify 0 into 0 1.200 * [backup-simplify]: Simplify 1 into 1 1.200 * [taylor]: Taking taylor expansion of phi2 in phi1 1.200 * [backup-simplify]: Simplify phi2 into phi2 1.200 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 1.200 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1.200 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1.200 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1.200 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1.200 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1.201 * [backup-simplify]: Simplify (- 0) into 0 1.201 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1.201 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi1 1.201 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.201 * [backup-simplify]: Simplify lambda1 into lambda1 1.201 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in phi1 1.201 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 1.201 * [taylor]: Taking taylor expansion of phi2 in phi1 1.201 * [backup-simplify]: Simplify phi2 into phi2 1.201 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in phi1 1.201 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 1.201 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi1 1.201 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.201 * [backup-simplify]: Simplify lambda2 into lambda2 1.201 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 1.201 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1.201 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1.201 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.201 * [backup-simplify]: Simplify 1/2 into 1/2 1.201 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 1.201 * [taylor]: Taking taylor expansion of phi1 in phi1 1.201 * [backup-simplify]: Simplify 0 into 0 1.201 * [backup-simplify]: Simplify 1 into 1 1.201 * [taylor]: Taking taylor expansion of phi2 in phi1 1.201 * [backup-simplify]: Simplify phi2 into phi2 1.201 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 1.202 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1.202 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1.202 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1.202 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1.202 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1.202 * [backup-simplify]: Simplify (- 0) into 0 1.202 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1.202 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 1.202 * [taylor]: Taking taylor expansion of phi1 in phi1 1.203 * [backup-simplify]: Simplify 0 into 0 1.203 * [backup-simplify]: Simplify 1 into 1 1.203 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in phi1 1.203 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 1.203 * [taylor]: Taking taylor expansion of 2 in phi1 1.203 * [backup-simplify]: Simplify 2 into 2 1.203 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 1.203 * [taylor]: Taking taylor expansion of phi1 in phi1 1.203 * [backup-simplify]: Simplify 0 into 0 1.203 * [backup-simplify]: Simplify 1 into 1 1.203 * [taylor]: Taking taylor expansion of phi2 in phi1 1.203 * [backup-simplify]: Simplify phi2 into phi2 1.203 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in phi1 1.203 * [taylor]: Taking taylor expansion of 2 in phi1 1.203 * [backup-simplify]: Simplify 2 into 2 1.203 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in phi1 1.203 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 1.203 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1.203 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1.203 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.203 * [backup-simplify]: Simplify 1/2 into 1/2 1.203 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 1.203 * [taylor]: Taking taylor expansion of phi1 in phi1 1.203 * [backup-simplify]: Simplify 0 into 0 1.203 * [backup-simplify]: Simplify 1 into 1 1.203 * [taylor]: Taking taylor expansion of phi2 in phi1 1.203 * [backup-simplify]: Simplify phi2 into phi2 1.203 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 1.203 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1.203 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1.203 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1.203 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1.204 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1.204 * [backup-simplify]: Simplify (- 0) into 0 1.204 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1.204 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi1 1.204 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.204 * [backup-simplify]: Simplify lambda2 into lambda2 1.204 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.204 * [backup-simplify]: Simplify lambda1 into lambda1 1.205 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 1.205 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 1.205 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) into (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) 1.205 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.205 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1.205 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 1.205 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 phi2)) 2)) into (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) 1.205 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) 0) into (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) 1.211 * [backup-simplify]: Simplify (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) into (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) 1.212 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) into (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) 1.212 * [backup-simplify]: Simplify (* 0 phi2) into 0 1.213 * [backup-simplify]: Simplify (* 2 0) into 0 1.213 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 1.213 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 1.213 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) into (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) 1.213 * [backup-simplify]: Simplify (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) into (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) 1.214 * [backup-simplify]: Simplify (+ 0 (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) into (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) 1.214 * [backup-simplify]: Simplify (- (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) into (- (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) 1.215 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (- (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) into (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) 1.216 * [backup-simplify]: Simplify (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) into (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) 1.216 * [backup-simplify]: Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0 1.217 * [backup-simplify]: Simplify (+ 0) into 0 1.217 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 1.218 * [backup-simplify]: Simplify (+ 1 0) into 1 1.218 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 1.219 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 1.219 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 1.220 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 1.220 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 1.220 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) (- (* 1/2 (sin (* 1/2 phi2))))) (* (- (* 1/2 (sin (* 1/2 phi2)))) (cos (* 1/2 phi2)))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) 1.221 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) 0) (* (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) (pow lambda1 2))) into (- (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))))) 1.221 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1.222 * [backup-simplify]: Simplify (+ 0) into 0 1.223 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 1.223 * [backup-simplify]: Simplify (+ 1 0) into 1 1.224 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 1.224 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 1.225 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 1.225 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 1.225 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 1.226 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) (- (* 1/2 (sin (* 1/2 phi2))))) (* (- (* 1/2 (sin (* 1/2 phi2)))) (cos (* 1/2 phi2)))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) 1.226 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 1.226 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))))) (* 0 (pow (cos (* 1/2 phi2)) 2))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))))) 1.227 * [backup-simplify]: Simplify (+ (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))))) 0) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))))) 1.228 * [backup-simplify]: Simplify (+ 0 (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))))))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))))) 1.230 * [backup-simplify]: Simplify (+ (- (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))))) (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))))))) into (- (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))))) 1.231 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 1.231 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 1.231 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda1)) into 0 1.231 * [backup-simplify]: Simplify (+ 0) into 0 1.232 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 1.232 * [backup-simplify]: Simplify (+ 1 0) into 1 1.233 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 1.234 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 1.234 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 1.234 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 1.234 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 1.235 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) (- (* 1/2 (sin (* 1/2 phi2))))) (* (- (* 1/2 (sin (* 1/2 phi2)))) (cos (* 1/2 phi2)))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) 1.235 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) 0) (* (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) (* lambda2 lambda1))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))))) 1.236 * [backup-simplify]: Simplify (+ (* 2 (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1))))))) (* 0 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) into (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1))))) 1.237 * [backup-simplify]: Simplify (+ (* 2 phi2) (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))))) into (- (* 2 phi2) (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1))))) 1.237 * [backup-simplify]: Simplify (- (- (* 2 phi2) (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))))) into (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (* 2 phi2)) 1.238 * [backup-simplify]: Simplify (+ (- (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))))) (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (* 2 phi2))) into (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* 2 phi2) (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2))))))))) 1.240 * [backup-simplify]: Simplify (/ (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* 2 phi2) (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2))))))))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) into (* 1/2 (* (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* 2 phi2) (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2))))))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))))) 1.240 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in lambda2 1.240 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in lambda2 1.240 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in lambda2 1.240 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in lambda2 1.240 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1.240 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1.240 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1.240 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.240 * [backup-simplify]: Simplify 1/2 into 1/2 1.241 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 1.241 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.241 * [backup-simplify]: Simplify phi1 into phi1 1.241 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.241 * [backup-simplify]: Simplify phi2 into phi2 1.241 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1.241 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1.241 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1.241 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1.241 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1.241 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1.241 * [backup-simplify]: Simplify (- 0) into 0 1.241 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1.241 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda2 1.241 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.241 * [backup-simplify]: Simplify lambda1 into lambda1 1.241 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 1.241 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 1.241 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.241 * [backup-simplify]: Simplify phi2 into phi2 1.242 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 1.242 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 1.242 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 1.242 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.242 * [backup-simplify]: Simplify 0 into 0 1.242 * [backup-simplify]: Simplify 1 into 1 1.242 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1.242 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1.242 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1.242 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.242 * [backup-simplify]: Simplify 1/2 into 1/2 1.242 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 1.242 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.242 * [backup-simplify]: Simplify phi1 into phi1 1.242 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.242 * [backup-simplify]: Simplify phi2 into phi2 1.242 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1.242 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1.242 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1.242 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1.242 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1.242 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1.242 * [backup-simplify]: Simplify (- 0) into 0 1.242 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1.242 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 1.242 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.242 * [backup-simplify]: Simplify phi1 into phi1 1.242 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in lambda2 1.242 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 1.242 * [taylor]: Taking taylor expansion of 2 in lambda2 1.242 * [backup-simplify]: Simplify 2 into 2 1.243 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 1.243 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.243 * [backup-simplify]: Simplify phi1 into phi1 1.243 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.243 * [backup-simplify]: Simplify phi2 into phi2 1.243 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in lambda2 1.243 * [taylor]: Taking taylor expansion of 2 in lambda2 1.243 * [backup-simplify]: Simplify 2 into 2 1.243 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in lambda2 1.243 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1.243 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1.243 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1.243 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.243 * [backup-simplify]: Simplify 1/2 into 1/2 1.243 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 1.243 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.243 * [backup-simplify]: Simplify phi1 into phi1 1.243 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.243 * [backup-simplify]: Simplify phi2 into phi2 1.243 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1.243 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1.243 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1.243 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1.243 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1.243 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1.243 * [backup-simplify]: Simplify (- 0) into 0 1.243 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1.243 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda2 1.243 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.243 * [backup-simplify]: Simplify 0 into 0 1.243 * [backup-simplify]: Simplify 1 into 1 1.243 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.243 * [backup-simplify]: Simplify lambda1 into lambda1 1.244 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.244 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 1.244 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) into (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1.244 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.244 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 1.244 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 1.244 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 1.244 * [backup-simplify]: Simplify (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (+ (pow phi2 2) (pow phi1 2))) into (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 1.244 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 1.244 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 1.244 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.244 * [backup-simplify]: Simplify (* 0 lambda1) into 0 1.244 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0 1.245 * [backup-simplify]: Simplify (* 2 0) into 0 1.245 * [backup-simplify]: Simplify (+ (* 2 (* phi1 phi2)) 0) into (* 2 (* phi1 phi2)) 1.245 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 1.245 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2))) 1.246 * [backup-simplify]: Simplify (sqrt (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))) 1.246 * [backup-simplify]: Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0 1.246 * [backup-simplify]: Simplify (+ 0) into 0 1.246 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 1.246 * [backup-simplify]: Simplify (+ 0 0) into 0 1.247 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 1.247 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.248 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 1.248 * [backup-simplify]: Simplify (- 0) into 0 1.248 * [backup-simplify]: Simplify (+ 0 0) into 0 1.248 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 1.248 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) (* 0 (pow lambda1 2))) into 0 1.248 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1.248 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 1.249 * [backup-simplify]: Simplify (+ 0 0) into 0 1.249 * [backup-simplify]: Simplify (+ 0 0) into 0 1.249 * [backup-simplify]: Simplify (+ 0 0) into 0 1.249 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 1.250 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 1.250 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda1)) into lambda1 1.250 * [backup-simplify]: Simplify (+ 0) into 0 1.250 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 1.251 * [backup-simplify]: Simplify (+ 0 0) into 0 1.251 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 1.251 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.252 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 1.252 * [backup-simplify]: Simplify (- 0) into 0 1.252 * [backup-simplify]: Simplify (+ 0 0) into 0 1.252 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 1.253 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1) (* 0 0)) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1) 1.253 * [backup-simplify]: Simplify (+ (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)) (* 0 0)) into (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)) 1.253 * [backup-simplify]: Simplify (+ 0 (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) into (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)) 1.253 * [backup-simplify]: Simplify (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) into (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) 1.253 * [backup-simplify]: Simplify (+ 0 (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)))) into (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) 1.254 * [backup-simplify]: Simplify (/ (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))))) into (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2))))))) 1.254 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in lambda1 1.254 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in lambda1 1.254 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in lambda1 1.254 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in lambda1 1.254 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 1.254 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 1.254 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 1.254 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.254 * [backup-simplify]: Simplify 1/2 into 1/2 1.254 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 1.254 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.254 * [backup-simplify]: Simplify phi1 into phi1 1.254 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.254 * [backup-simplify]: Simplify phi2 into phi2 1.254 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1.254 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1.254 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1.254 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1.254 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1.255 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1.255 * [backup-simplify]: Simplify (- 0) into 0 1.255 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1.255 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 1.255 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.255 * [backup-simplify]: Simplify 0 into 0 1.255 * [backup-simplify]: Simplify 1 into 1 1.255 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda1 1.255 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 1.255 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.255 * [backup-simplify]: Simplify phi2 into phi2 1.255 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda1 1.255 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 1.255 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 1.255 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.255 * [backup-simplify]: Simplify lambda2 into lambda2 1.255 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 1.255 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 1.255 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 1.255 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.255 * [backup-simplify]: Simplify 1/2 into 1/2 1.255 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 1.255 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.255 * [backup-simplify]: Simplify phi1 into phi1 1.255 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.255 * [backup-simplify]: Simplify phi2 into phi2 1.255 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1.255 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1.255 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1.255 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1.255 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1.255 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1.256 * [backup-simplify]: Simplify (- 0) into 0 1.256 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1.256 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 1.256 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.256 * [backup-simplify]: Simplify phi1 into phi1 1.256 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in lambda1 1.256 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda1 1.256 * [taylor]: Taking taylor expansion of 2 in lambda1 1.256 * [backup-simplify]: Simplify 2 into 2 1.256 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 1.256 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.256 * [backup-simplify]: Simplify phi1 into phi1 1.256 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.256 * [backup-simplify]: Simplify phi2 into phi2 1.256 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in lambda1 1.256 * [taylor]: Taking taylor expansion of 2 in lambda1 1.256 * [backup-simplify]: Simplify 2 into 2 1.256 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in lambda1 1.256 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 1.256 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 1.256 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 1.256 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.256 * [backup-simplify]: Simplify 1/2 into 1/2 1.256 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 1.256 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.256 * [backup-simplify]: Simplify phi1 into phi1 1.256 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.256 * [backup-simplify]: Simplify phi2 into phi2 1.256 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1.256 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1.256 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1.256 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1.256 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1.257 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1.257 * [backup-simplify]: Simplify (- 0) into 0 1.257 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1.257 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1 1.257 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.257 * [backup-simplify]: Simplify lambda2 into lambda2 1.257 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.257 * [backup-simplify]: Simplify 0 into 0 1.257 * [backup-simplify]: Simplify 1 into 1 1.257 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.257 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1.257 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.257 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1.257 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 1.257 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) 1.258 * [backup-simplify]: Simplify (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 1.258 * [backup-simplify]: Simplify (+ 0 (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 1.258 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 1.258 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 1.258 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.258 * [backup-simplify]: Simplify (* lambda2 0) into 0 1.258 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0 1.259 * [backup-simplify]: Simplify (* 2 0) into 0 1.259 * [backup-simplify]: Simplify (+ (* 2 (* phi1 phi2)) 0) into (* 2 (* phi1 phi2)) 1.259 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 1.259 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 1.259 * [backup-simplify]: Simplify (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) 1.259 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1.260 * [backup-simplify]: Simplify (+ 0) into 0 1.260 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 1.260 * [backup-simplify]: Simplify (+ 0 0) into 0 1.261 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 1.261 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.261 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 1.262 * [backup-simplify]: Simplify (- 0) into 0 1.262 * [backup-simplify]: Simplify (+ 0 0) into 0 1.262 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 1.262 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 1.262 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into 0 1.262 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 1.262 * [backup-simplify]: Simplify (+ 0 0) into 0 1.263 * [backup-simplify]: Simplify (+ 0 0) into 0 1.263 * [backup-simplify]: Simplify (+ 0 0) into 0 1.263 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 1.263 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 1.263 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 1.264 * [backup-simplify]: Simplify (+ 0) into 0 1.264 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 1.264 * [backup-simplify]: Simplify (+ 0 0) into 0 1.265 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 1.266 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.266 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 1.267 * [backup-simplify]: Simplify (- 0) into 0 1.267 * [backup-simplify]: Simplify (+ 0 0) into 0 1.267 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 1.268 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) (* 0 0)) into (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1.268 * [backup-simplify]: Simplify (+ (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 0 0)) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 1.269 * [backup-simplify]: Simplify (+ 0 (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 1.269 * [backup-simplify]: Simplify (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 1.269 * [backup-simplify]: Simplify (+ 0 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 1.270 * [backup-simplify]: Simplify (/ (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) 1.270 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in lambda1 1.270 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in lambda1 1.271 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in lambda1 1.271 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in lambda1 1.271 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 1.271 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 1.271 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 1.271 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.271 * [backup-simplify]: Simplify 1/2 into 1/2 1.271 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 1.271 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.271 * [backup-simplify]: Simplify phi1 into phi1 1.271 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.271 * [backup-simplify]: Simplify phi2 into phi2 1.271 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1.271 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1.271 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1.271 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1.271 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1.271 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1.272 * [backup-simplify]: Simplify (- 0) into 0 1.272 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1.272 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 1.272 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.272 * [backup-simplify]: Simplify 0 into 0 1.272 * [backup-simplify]: Simplify 1 into 1 1.272 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda1 1.272 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 1.272 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.272 * [backup-simplify]: Simplify phi2 into phi2 1.272 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda1 1.273 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 1.273 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 1.273 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.273 * [backup-simplify]: Simplify lambda2 into lambda2 1.273 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 1.273 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 1.273 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 1.273 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.273 * [backup-simplify]: Simplify 1/2 into 1/2 1.273 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 1.273 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.273 * [backup-simplify]: Simplify phi1 into phi1 1.273 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.273 * [backup-simplify]: Simplify phi2 into phi2 1.273 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1.273 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1.273 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1.273 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1.273 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1.273 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1.274 * [backup-simplify]: Simplify (- 0) into 0 1.274 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1.274 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 1.274 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.274 * [backup-simplify]: Simplify phi1 into phi1 1.274 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in lambda1 1.274 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda1 1.274 * [taylor]: Taking taylor expansion of 2 in lambda1 1.274 * [backup-simplify]: Simplify 2 into 2 1.274 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 1.274 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.274 * [backup-simplify]: Simplify phi1 into phi1 1.274 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.274 * [backup-simplify]: Simplify phi2 into phi2 1.274 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in lambda1 1.274 * [taylor]: Taking taylor expansion of 2 in lambda1 1.274 * [backup-simplify]: Simplify 2 into 2 1.274 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in lambda1 1.274 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 1.274 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 1.274 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 1.274 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.274 * [backup-simplify]: Simplify 1/2 into 1/2 1.275 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 1.275 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.275 * [backup-simplify]: Simplify phi1 into phi1 1.275 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.275 * [backup-simplify]: Simplify phi2 into phi2 1.275 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1.275 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1.275 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1.275 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1.275 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1.275 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1.275 * [backup-simplify]: Simplify (- 0) into 0 1.276 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1.276 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1 1.276 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.276 * [backup-simplify]: Simplify lambda2 into lambda2 1.276 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.276 * [backup-simplify]: Simplify 0 into 0 1.276 * [backup-simplify]: Simplify 1 into 1 1.276 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.276 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1.276 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.276 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1.276 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 1.277 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) 1.277 * [backup-simplify]: Simplify (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 1.278 * [backup-simplify]: Simplify (+ 0 (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 1.278 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 1.278 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 1.278 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.278 * [backup-simplify]: Simplify (* lambda2 0) into 0 1.278 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0 1.279 * [backup-simplify]: Simplify (* 2 0) into 0 1.279 * [backup-simplify]: Simplify (+ (* 2 (* phi1 phi2)) 0) into (* 2 (* phi1 phi2)) 1.279 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 1.279 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 1.280 * [backup-simplify]: Simplify (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) 1.280 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1.281 * [backup-simplify]: Simplify (+ 0) into 0 1.281 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 1.282 * [backup-simplify]: Simplify (+ 0 0) into 0 1.282 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 1.283 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.283 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 1.284 * [backup-simplify]: Simplify (- 0) into 0 1.284 * [backup-simplify]: Simplify (+ 0 0) into 0 1.284 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 1.284 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 1.285 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into 0 1.285 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 1.285 * [backup-simplify]: Simplify (+ 0 0) into 0 1.285 * [backup-simplify]: Simplify (+ 0 0) into 0 1.286 * [backup-simplify]: Simplify (+ 0 0) into 0 1.286 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 1.286 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 1.287 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 1.287 * [backup-simplify]: Simplify (+ 0) into 0 1.287 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 1.288 * [backup-simplify]: Simplify (+ 0 0) into 0 1.288 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 1.289 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.289 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 1.290 * [backup-simplify]: Simplify (- 0) into 0 1.290 * [backup-simplify]: Simplify (+ 0 0) into 0 1.290 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 1.291 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) (* 0 0)) into (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1.292 * [backup-simplify]: Simplify (+ (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 0 0)) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 1.292 * [backup-simplify]: Simplify (+ 0 (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 1.292 * [backup-simplify]: Simplify (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 1.292 * [backup-simplify]: Simplify (+ 0 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 1.293 * [backup-simplify]: Simplify (/ (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) 1.294 * [taylor]: Taking taylor expansion of (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 1.294 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 1.294 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 1.294 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 1.294 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.294 * [backup-simplify]: Simplify phi2 into phi2 1.294 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 1.294 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 1.294 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 1.294 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.294 * [backup-simplify]: Simplify 0 into 0 1.294 * [backup-simplify]: Simplify 1 into 1 1.294 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1.294 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1.294 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1.294 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.294 * [backup-simplify]: Simplify 1/2 into 1/2 1.294 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 1.294 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.294 * [backup-simplify]: Simplify phi1 into phi1 1.294 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.294 * [backup-simplify]: Simplify phi2 into phi2 1.294 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1.294 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1.294 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1.294 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1.295 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1.295 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1.295 * [backup-simplify]: Simplify (- 0) into 0 1.295 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1.295 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 1.296 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.296 * [backup-simplify]: Simplify phi1 into phi1 1.296 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 1.296 * [taylor]: Taking taylor expansion of 2 in lambda2 1.296 * [backup-simplify]: Simplify 2 into 2 1.296 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 1.296 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.296 * [backup-simplify]: Simplify phi1 into phi1 1.296 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.296 * [backup-simplify]: Simplify phi2 into phi2 1.296 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.296 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 1.296 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 1.296 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 1.296 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 1.296 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 1.296 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 1.297 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 1.297 * [backup-simplify]: Simplify (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 1.297 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1.297 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 1.298 * [backup-simplify]: Simplify (+ 0 0) into 0 1.298 * [backup-simplify]: Simplify (+ 0 0) into 0 1.298 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 1.299 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 1.299 * [backup-simplify]: Simplify (- 0) into 0 1.300 * [backup-simplify]: Simplify (+ 0 0) into 0 1.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into 0 1.300 * [taylor]: Taking taylor expansion of (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1 1.300 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1 1.300 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1 1.300 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 1.300 * [taylor]: Taking taylor expansion of phi2 in phi1 1.300 * [backup-simplify]: Simplify phi2 into phi2 1.300 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 1.300 * [taylor]: Taking taylor expansion of phi1 in phi1 1.300 * [backup-simplify]: Simplify 0 into 0 1.300 * [backup-simplify]: Simplify 1 into 1 1.300 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 1.300 * [taylor]: Taking taylor expansion of 2 in phi1 1.300 * [backup-simplify]: Simplify 2 into 2 1.300 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 1.300 * [taylor]: Taking taylor expansion of phi1 in phi1 1.300 * [backup-simplify]: Simplify 0 into 0 1.300 * [backup-simplify]: Simplify 1 into 1 1.301 * [taylor]: Taking taylor expansion of phi2 in phi1 1.301 * [backup-simplify]: Simplify phi2 into phi2 1.301 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.301 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 1.301 * [backup-simplify]: Simplify (* 0 phi2) into 0 1.301 * [backup-simplify]: Simplify (* 2 0) into 0 1.302 * [backup-simplify]: Simplify (- 0) into 0 1.302 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 1.302 * [backup-simplify]: Simplify (sqrt (pow phi2 2)) into phi2 1.302 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1.302 * [backup-simplify]: Simplify (+ 0 0) into 0 1.303 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 1.303 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 1.303 * [backup-simplify]: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) 1.303 * [backup-simplify]: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) 1.303 * [backup-simplify]: Simplify (/ (- (* 2 phi2)) (* 2 (sqrt (pow phi2 2)))) into -1 1.303 * [taylor]: Taking taylor expansion of phi2 in phi2 1.303 * [backup-simplify]: Simplify 0 into 0 1.304 * [backup-simplify]: Simplify 1 into 1 1.304 * [backup-simplify]: Simplify 0 into 0 1.304 * [taylor]: Taking taylor expansion of (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) in lambda2 1.304 * [taylor]: Taking taylor expansion of -1 in lambda2 1.304 * [backup-simplify]: Simplify -1 into -1 1.304 * [taylor]: Taking taylor expansion of (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) in lambda2 1.304 * [taylor]: Taking taylor expansion of (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 1.304 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.304 * [backup-simplify]: Simplify 0 into 0 1.304 * [backup-simplify]: Simplify 1 into 1 1.304 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1.304 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1.304 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1.304 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.304 * [backup-simplify]: Simplify 1/2 into 1/2 1.304 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 1.304 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.304 * [backup-simplify]: Simplify phi1 into phi1 1.304 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.304 * [backup-simplify]: Simplify phi2 into phi2 1.304 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1.304 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1.304 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1.304 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1.305 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1.305 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1.305 * [backup-simplify]: Simplify (- 0) into 0 1.305 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1.305 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2 1.305 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 1.305 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 1.305 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 1.305 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 1.305 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.305 * [backup-simplify]: Simplify phi2 into phi2 1.305 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 1.305 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 1.306 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 1.306 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.306 * [backup-simplify]: Simplify 0 into 0 1.306 * [backup-simplify]: Simplify 1 into 1 1.306 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1.306 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1.306 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1.306 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.306 * [backup-simplify]: Simplify 1/2 into 1/2 1.306 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 1.306 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.306 * [backup-simplify]: Simplify phi1 into phi1 1.306 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.306 * [backup-simplify]: Simplify phi2 into phi2 1.306 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1.306 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1.306 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1.306 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1.306 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1.306 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1.307 * [backup-simplify]: Simplify (- 0) into 0 1.307 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1.307 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 1.307 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.307 * [backup-simplify]: Simplify phi1 into phi1 1.307 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 1.307 * [taylor]: Taking taylor expansion of 2 in lambda2 1.307 * [backup-simplify]: Simplify 2 into 2 1.307 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 1.307 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.307 * [backup-simplify]: Simplify phi1 into phi1 1.307 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.307 * [backup-simplify]: Simplify phi2 into phi2 1.307 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.307 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 1.308 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 1.308 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 1.308 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 1.308 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 1.308 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 1.308 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 1.309 * [backup-simplify]: Simplify (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 1.309 * [backup-simplify]: Simplify (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) into (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) 1.309 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1.309 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 1.310 * [backup-simplify]: Simplify (+ 0 0) into 0 1.310 * [backup-simplify]: Simplify (+ 0 0) into 0 1.310 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 1.311 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 1.311 * [backup-simplify]: Simplify (- 0) into 0 1.311 * [backup-simplify]: Simplify (+ 0 0) into 0 1.312 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) (/ 0 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into 0 1.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into 0 1.313 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.313 * [backup-simplify]: Simplify (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into 0 1.313 * [backup-simplify]: Simplify (* 0 (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into 0 1.313 * [backup-simplify]: Simplify (* -1 0) into 0 1.314 * [taylor]: Taking taylor expansion of 0 in phi1 1.314 * [backup-simplify]: Simplify 0 into 0 1.314 * [taylor]: Taking taylor expansion of 0 in phi2 1.314 * [backup-simplify]: Simplify 0 into 0 1.314 * [backup-simplify]: Simplify 0 into 0 1.314 * [taylor]: Taking taylor expansion of 0 in phi1 1.314 * [backup-simplify]: Simplify 0 into 0 1.314 * [taylor]: Taking taylor expansion of 0 in phi2 1.314 * [backup-simplify]: Simplify 0 into 0 1.314 * [backup-simplify]: Simplify 0 into 0 1.314 * [taylor]: Taking taylor expansion of -1 in phi2 1.314 * [backup-simplify]: Simplify -1 into -1 1.314 * [backup-simplify]: Simplify -1 into -1 1.314 * [backup-simplify]: Simplify 1 into 1 1.315 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.315 * [backup-simplify]: Simplify (* 1 1) into 1 1.315 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.316 * [backup-simplify]: Simplify (+ (* phi2 0) (+ (* 0 0) (* 0 phi2))) into 0 1.317 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.318 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 1.318 * [backup-simplify]: Simplify (+ 0 0) into 0 1.319 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ phi1 phi2)))) into 0 1.320 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.321 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 1.321 * [backup-simplify]: Simplify (- 0) into 0 1.322 * [backup-simplify]: Simplify (+ 0 0) into 0 1.322 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 1.323 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 0) (* 0 lambda2))) into 0 1.323 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (+ (* 0 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into 0 1.324 * [backup-simplify]: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi1))) into 0 1.324 * [backup-simplify]: Simplify (+ 0 0) into 0 1.324 * [backup-simplify]: Simplify (+ 0 0) into 0 1.325 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.325 * [backup-simplify]: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi2))) into 0 1.325 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* phi1 phi2)))) into 0 1.326 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 1) (* 0 0))) into 0 1.326 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.327 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 1.327 * [backup-simplify]: Simplify (+ 0 0) into 0 1.328 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ phi1 phi2)))) into 0 1.328 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.329 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 1.329 * [backup-simplify]: Simplify (- 0) into 0 1.329 * [backup-simplify]: Simplify (+ 0 0) into 0 1.329 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 1.330 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) (+ (* 0 lambda2) (* 0 0))) into 0 1.330 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 0 0))) into 0 1.330 * [backup-simplify]: Simplify (+ 0 0) into 0 1.331 * [backup-simplify]: Simplify (- 0) into 0 1.331 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.332 * [backup-simplify]: Simplify (/ (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) 2) (+)) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (* 1/2 (* (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) 1.332 * [taylor]: Taking taylor expansion of (* 1/2 (* (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) in lambda2 1.332 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.332 * [backup-simplify]: Simplify 1/2 into 1/2 1.332 * [taylor]: Taking taylor expansion of (* (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) in lambda2 1.332 * [taylor]: Taking taylor expansion of (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2 1.332 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1.332 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1.332 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1.332 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.332 * [backup-simplify]: Simplify 1/2 into 1/2 1.332 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 1.332 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.332 * [backup-simplify]: Simplify phi1 into phi1 1.332 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.332 * [backup-simplify]: Simplify phi2 into phi2 1.332 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1.333 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1.333 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1.333 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1.333 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1.333 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1.335 * [backup-simplify]: Simplify (- 0) into 0 1.335 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1.335 * [taylor]: Taking taylor expansion of (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 1.335 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) in lambda2 1.335 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 1.335 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.335 * [backup-simplify]: Simplify 0 into 0 1.335 * [backup-simplify]: Simplify 1 into 1 1.335 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 4) in lambda2 1.335 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1.335 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1.335 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.335 * [backup-simplify]: Simplify 1/2 into 1/2 1.335 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 1.335 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.335 * [backup-simplify]: Simplify phi1 into phi1 1.335 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.335 * [backup-simplify]: Simplify phi2 into phi2 1.335 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1.335 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1.335 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1.336 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1.336 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1.336 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1.336 * [backup-simplify]: Simplify (- 0) into 0 1.336 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1.336 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 1.336 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 1.336 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 1.336 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.336 * [backup-simplify]: Simplify phi2 into phi2 1.336 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 1.336 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 1.336 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 1.336 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.336 * [backup-simplify]: Simplify 0 into 0 1.336 * [backup-simplify]: Simplify 1 into 1 1.336 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1.336 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1.336 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1.336 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.336 * [backup-simplify]: Simplify 1/2 into 1/2 1.336 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 1.336 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.336 * [backup-simplify]: Simplify phi1 into phi1 1.336 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.336 * [backup-simplify]: Simplify phi2 into phi2 1.337 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1.337 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1.337 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1.337 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1.337 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1.337 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1.337 * [backup-simplify]: Simplify (- 0) into 0 1.337 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1.337 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 1.337 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.337 * [backup-simplify]: Simplify phi1 into phi1 1.337 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 1.337 * [taylor]: Taking taylor expansion of 2 in lambda2 1.337 * [backup-simplify]: Simplify 2 into 2 1.337 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 1.337 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.337 * [backup-simplify]: Simplify phi1 into phi1 1.337 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.337 * [backup-simplify]: Simplify phi2 into phi2 1.338 * [backup-simplify]: Simplify (* 1 1) into 1 1.338 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.338 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 4) 1.338 * [backup-simplify]: Simplify (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 4)) into (pow (cos (* 1/2 (+ phi1 phi2))) 4) 1.338 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.338 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 1.338 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 1.338 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 1.338 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 1.338 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 1.338 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 1.338 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 1.339 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 4) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (/ (pow (cos (* 1/2 (+ phi1 phi2))) 4) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 1.339 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2 1.339 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 1.339 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 1.339 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 1.339 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 1.339 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.339 * [backup-simplify]: Simplify phi2 into phi2 1.339 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 1.339 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 1.339 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 1.339 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.339 * [backup-simplify]: Simplify 0 into 0 1.339 * [backup-simplify]: Simplify 1 into 1 1.339 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1.339 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1.339 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1.339 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.339 * [backup-simplify]: Simplify 1/2 into 1/2 1.339 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 1.339 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.339 * [backup-simplify]: Simplify phi1 into phi1 1.339 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.339 * [backup-simplify]: Simplify phi2 into phi2 1.339 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1.339 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1.339 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1.339 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1.339 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1.339 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1.339 * [backup-simplify]: Simplify (- 0) into 0 1.340 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1.340 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 1.340 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.340 * [backup-simplify]: Simplify phi1 into phi1 1.340 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 1.340 * [taylor]: Taking taylor expansion of 2 in lambda2 1.340 * [backup-simplify]: Simplify 2 into 2 1.340 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 1.340 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.340 * [backup-simplify]: Simplify phi1 into phi1 1.340 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.340 * [backup-simplify]: Simplify phi2 into phi2 1.340 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.340 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 1.340 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 1.340 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 1.340 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 1.340 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 1.340 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 1.340 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 1.340 * [backup-simplify]: Simplify (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 1.341 * [backup-simplify]: Simplify (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) into (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) 1.341 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1.341 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 1.341 * [backup-simplify]: Simplify (+ 0 0) into 0 1.341 * [backup-simplify]: Simplify (+ 0 0) into 0 1.341 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 1.341 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 1.342 * [backup-simplify]: Simplify (- 0) into 0 1.342 * [backup-simplify]: Simplify (+ 0 0) into 0 1.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) (/ 0 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into 0 1.342 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into 0 1.343 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.343 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.343 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) 1.343 * [backup-simplify]: Simplify (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) 1.343 * [taylor]: Taking taylor expansion of (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) in phi1 1.343 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.343 * [backup-simplify]: Simplify 1/2 into 1/2 1.343 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) in phi1 1.343 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 1.343 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1.343 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1.343 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.343 * [backup-simplify]: Simplify 1/2 into 1/2 1.343 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 1.343 * [taylor]: Taking taylor expansion of phi1 in phi1 1.343 * [backup-simplify]: Simplify 0 into 0 1.343 * [backup-simplify]: Simplify 1 into 1 1.343 * [taylor]: Taking taylor expansion of phi2 in phi1 1.343 * [backup-simplify]: Simplify phi2 into phi2 1.343 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 1.343 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1.344 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1.344 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1.344 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1.344 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1.344 * [backup-simplify]: Simplify (- 0) into 0 1.344 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1.344 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) in phi1 1.344 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1 1.344 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1 1.344 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1 1.344 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 1.344 * [taylor]: Taking taylor expansion of phi2 in phi1 1.344 * [backup-simplify]: Simplify phi2 into phi2 1.344 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 1.344 * [taylor]: Taking taylor expansion of phi1 in phi1 1.344 * [backup-simplify]: Simplify 0 into 0 1.344 * [backup-simplify]: Simplify 1 into 1 1.344 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 1.344 * [taylor]: Taking taylor expansion of 2 in phi1 1.344 * [backup-simplify]: Simplify 2 into 2 1.344 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 1.344 * [taylor]: Taking taylor expansion of phi1 in phi1 1.344 * [backup-simplify]: Simplify 0 into 0 1.344 * [backup-simplify]: Simplify 1 into 1 1.344 * [taylor]: Taking taylor expansion of phi2 in phi1 1.344 * [backup-simplify]: Simplify phi2 into phi2 1.344 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.344 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 1.344 * [backup-simplify]: Simplify (* 0 phi2) into 0 1.345 * [backup-simplify]: Simplify (* 2 0) into 0 1.345 * [backup-simplify]: Simplify (- 0) into 0 1.345 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 1.345 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.345 * [backup-simplify]: Simplify (sqrt (/ 1 (pow phi2 2))) into (/ 1 phi2) 1.345 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1.346 * [backup-simplify]: Simplify (+ 0 0) into 0 1.346 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 1.346 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 1.346 * [backup-simplify]: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) 1.346 * [backup-simplify]: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) 1.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ (- (* 2 phi2)) (pow phi2 2))))) into (* 2 (/ 1 (pow phi2 3))) 1.346 * [backup-simplify]: Simplify (/ (* 2 (/ 1 (pow phi2 3))) (* 2 (sqrt (/ 1 (pow phi2 2))))) into (/ 1 (pow phi2 2)) 1.346 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 1.347 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (/ 1 phi2)) into (/ (pow (cos (* 1/2 phi2)) 2) phi2) 1.347 * [backup-simplify]: Simplify (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) into (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) 1.347 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) in phi2 1.347 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.347 * [backup-simplify]: Simplify 1/2 into 1/2 1.347 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 phi2)) 2) phi2) in phi2 1.347 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 1.347 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1.347 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 1.347 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.347 * [backup-simplify]: Simplify 1/2 into 1/2 1.347 * [taylor]: Taking taylor expansion of phi2 in phi2 1.347 * [backup-simplify]: Simplify 0 into 0 1.347 * [backup-simplify]: Simplify 1 into 1 1.347 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.348 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.348 * [taylor]: Taking taylor expansion of phi2 in phi2 1.348 * [backup-simplify]: Simplify 0 into 0 1.348 * [backup-simplify]: Simplify 1 into 1 1.348 * [backup-simplify]: Simplify (* 1 1) into 1 1.348 * [backup-simplify]: Simplify (/ 1 1) into 1 1.348 * [backup-simplify]: Simplify (+ 0) into 0 1.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 1.350 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.350 * [backup-simplify]: Simplify 0 into 0 1.350 * [backup-simplify]: Simplify (+ 0) into 0 1.350 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 1.350 * [backup-simplify]: Simplify (+ 0 0) into 0 1.351 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 1.351 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.352 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 1.352 * [backup-simplify]: Simplify (- 0) into 0 1.352 * [backup-simplify]: Simplify (+ 0 0) into 0 1.352 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 1.353 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.353 * [backup-simplify]: Simplify (+ (* 0 0) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) 1.354 * [backup-simplify]: Simplify (+ (* -1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) (* 0 0)) into (- (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) 1.354 * [taylor]: Taking taylor expansion of (- (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) in phi1 1.354 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) in phi1 1.354 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 1.354 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1.354 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1.354 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.354 * [backup-simplify]: Simplify 1/2 into 1/2 1.354 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 1.354 * [taylor]: Taking taylor expansion of phi1 in phi1 1.354 * [backup-simplify]: Simplify 0 into 0 1.354 * [backup-simplify]: Simplify 1 into 1 1.354 * [taylor]: Taking taylor expansion of phi2 in phi1 1.354 * [backup-simplify]: Simplify phi2 into phi2 1.354 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 1.354 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1.354 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1.354 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1.354 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1.354 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1.355 * [backup-simplify]: Simplify (- 0) into 0 1.355 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1.355 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) in phi1 1.355 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1 1.355 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1 1.355 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1 1.355 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 1.355 * [taylor]: Taking taylor expansion of phi2 in phi1 1.355 * [backup-simplify]: Simplify phi2 into phi2 1.355 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 1.355 * [taylor]: Taking taylor expansion of phi1 in phi1 1.355 * [backup-simplify]: Simplify 0 into 0 1.355 * [backup-simplify]: Simplify 1 into 1 1.355 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 1.355 * [taylor]: Taking taylor expansion of 2 in phi1 1.355 * [backup-simplify]: Simplify 2 into 2 1.355 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 1.355 * [taylor]: Taking taylor expansion of phi1 in phi1 1.355 * [backup-simplify]: Simplify 0 into 0 1.355 * [backup-simplify]: Simplify 1 into 1 1.355 * [taylor]: Taking taylor expansion of phi2 in phi1 1.355 * [backup-simplify]: Simplify phi2 into phi2 1.355 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.355 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 1.355 * [backup-simplify]: Simplify (* 0 phi2) into 0 1.355 * [backup-simplify]: Simplify (* 2 0) into 0 1.356 * [backup-simplify]: Simplify (- 0) into 0 1.356 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 1.356 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.356 * [backup-simplify]: Simplify (sqrt (/ 1 (pow phi2 2))) into (/ 1 phi2) 1.356 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1.356 * [backup-simplify]: Simplify (+ 0 0) into 0 1.356 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 1.357 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 1.357 * [backup-simplify]: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) 1.357 * [backup-simplify]: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) 1.357 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ (- (* 2 phi2)) (pow phi2 2))))) into (* 2 (/ 1 (pow phi2 3))) 1.357 * [backup-simplify]: Simplify (/ (* 2 (/ 1 (pow phi2 3))) (* 2 (sqrt (/ 1 (pow phi2 2))))) into (/ 1 (pow phi2 2)) 1.357 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 1.357 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (/ 1 phi2)) into (/ (pow (cos (* 1/2 phi2)) 2) phi2) 1.357 * [backup-simplify]: Simplify (- (/ (pow (cos (* 1/2 phi2)) 2) phi2)) into (- (/ (pow (cos (* 1/2 phi2)) 2) phi2)) 1.357 * [taylor]: Taking taylor expansion of (- (/ (pow (cos (* 1/2 phi2)) 2) phi2)) in phi2 1.357 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 phi2)) 2) phi2) in phi2 1.357 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 1.357 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1.357 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 1.357 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.357 * [backup-simplify]: Simplify 1/2 into 1/2 1.357 * [taylor]: Taking taylor expansion of phi2 in phi2 1.357 * [backup-simplify]: Simplify 0 into 0 1.357 * [backup-simplify]: Simplify 1 into 1 1.358 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.358 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.358 * [taylor]: Taking taylor expansion of phi2 in phi2 1.358 * [backup-simplify]: Simplify 0 into 0 1.358 * [backup-simplify]: Simplify 1 into 1 1.359 * [backup-simplify]: Simplify (* 1 1) into 1 1.359 * [backup-simplify]: Simplify (/ 1 1) into 1 1.359 * [backup-simplify]: Simplify (+ 0) into 0 1.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 1.360 * [backup-simplify]: Simplify (- 0) into 0 1.360 * [backup-simplify]: Simplify 0 into 0 1.360 * [backup-simplify]: Simplify (+ (* phi2 0) (+ (* 0 0) (* 0 phi2))) into 0 1.361 * [backup-simplify]: Simplify (* 1 1) into 1 1.361 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.361 * [backup-simplify]: Simplify (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.361 * [backup-simplify]: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi1))) into 0 1.361 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.361 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.362 * [backup-simplify]: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi2))) into 0 1.362 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* phi1 phi2)))) into 0 1.362 * [backup-simplify]: Simplify (- 0) into 0 1.363 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.363 * [backup-simplify]: Simplify (/ (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow 0 2) (+)) (* 2 (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) 1.363 * [taylor]: Taking taylor expansion of (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) in phi1 1.363 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.363 * [backup-simplify]: Simplify 1/2 into 1/2 1.363 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) in phi1 1.363 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 1.363 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1.363 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1.363 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.363 * [backup-simplify]: Simplify 1/2 into 1/2 1.363 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 1.363 * [taylor]: Taking taylor expansion of phi1 in phi1 1.363 * [backup-simplify]: Simplify 0 into 0 1.363 * [backup-simplify]: Simplify 1 into 1 1.363 * [taylor]: Taking taylor expansion of phi2 in phi1 1.364 * [backup-simplify]: Simplify phi2 into phi2 1.364 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 1.364 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1.364 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1.364 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1.364 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1.364 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1.364 * [backup-simplify]: Simplify (- 0) into 0 1.364 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1.364 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) in phi1 1.364 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1 1.364 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1 1.364 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1 1.364 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 1.364 * [taylor]: Taking taylor expansion of phi2 in phi1 1.364 * [backup-simplify]: Simplify phi2 into phi2 1.364 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 1.364 * [taylor]: Taking taylor expansion of phi1 in phi1 1.364 * [backup-simplify]: Simplify 0 into 0 1.364 * [backup-simplify]: Simplify 1 into 1 1.364 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 1.364 * [taylor]: Taking taylor expansion of 2 in phi1 1.364 * [backup-simplify]: Simplify 2 into 2 1.364 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 1.364 * [taylor]: Taking taylor expansion of phi1 in phi1 1.364 * [backup-simplify]: Simplify 0 into 0 1.364 * [backup-simplify]: Simplify 1 into 1 1.364 * [taylor]: Taking taylor expansion of phi2 in phi1 1.364 * [backup-simplify]: Simplify phi2 into phi2 1.364 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.364 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 1.365 * [backup-simplify]: Simplify (* 0 phi2) into 0 1.365 * [backup-simplify]: Simplify (* 2 0) into 0 1.365 * [backup-simplify]: Simplify (- 0) into 0 1.365 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 1.365 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.365 * [backup-simplify]: Simplify (sqrt (/ 1 (pow phi2 2))) into (/ 1 phi2) 1.365 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1.366 * [backup-simplify]: Simplify (+ 0 0) into 0 1.366 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 1.366 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 1.366 * [backup-simplify]: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) 1.366 * [backup-simplify]: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) 1.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ (- (* 2 phi2)) (pow phi2 2))))) into (* 2 (/ 1 (pow phi2 3))) 1.366 * [backup-simplify]: Simplify (/ (* 2 (/ 1 (pow phi2 3))) (* 2 (sqrt (/ 1 (pow phi2 2))))) into (/ 1 (pow phi2 2)) 1.367 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 1.367 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (/ 1 phi2)) into (/ (pow (cos (* 1/2 phi2)) 2) phi2) 1.367 * [backup-simplify]: Simplify (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) into (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) 1.367 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) in phi2 1.367 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.367 * [backup-simplify]: Simplify 1/2 into 1/2 1.367 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 phi2)) 2) phi2) in phi2 1.367 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 1.367 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1.367 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 1.367 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.367 * [backup-simplify]: Simplify 1/2 into 1/2 1.367 * [taylor]: Taking taylor expansion of phi2 in phi2 1.367 * [backup-simplify]: Simplify 0 into 0 1.367 * [backup-simplify]: Simplify 1 into 1 1.367 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.368 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.368 * [taylor]: Taking taylor expansion of phi2 in phi2 1.368 * [backup-simplify]: Simplify 0 into 0 1.368 * [backup-simplify]: Simplify 1 into 1 1.368 * [backup-simplify]: Simplify (* 1 1) into 1 1.368 * [backup-simplify]: Simplify (/ 1 1) into 1 1.368 * [backup-simplify]: Simplify (+ 0) into 0 1.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 1.370 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.370 * [backup-simplify]: Simplify 0 into 0 1.370 * [taylor]: Taking taylor expansion of 0 in phi2 1.370 * [backup-simplify]: Simplify 0 into 0 1.370 * [backup-simplify]: Simplify 0 into 0 1.370 * [taylor]: Taking taylor expansion of 0 in phi2 1.370 * [backup-simplify]: Simplify 0 into 0 1.370 * [backup-simplify]: Simplify 0 into 0 1.370 * [backup-simplify]: Simplify (+ (* phi2 0) (+ (* 0 0) (* 0 phi2))) into 0 1.370 * [backup-simplify]: Simplify (* 1 1) into 1 1.371 * [backup-simplify]: Simplify (+ 0 1) into 1 1.371 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 phi2))) into 0 1.372 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 phi2) (* 0 0))) into 0 1.372 * [backup-simplify]: Simplify (- 0) into 0 1.372 * [backup-simplify]: Simplify (+ 1 0) into 1 1.373 * [backup-simplify]: Simplify (/ (- 1 (pow -1 2) (+)) (* 2 phi2)) into 0 1.373 * [taylor]: Taking taylor expansion of 0 in phi2 1.373 * [backup-simplify]: Simplify 0 into 0 1.373 * [backup-simplify]: Simplify 0 into 0 1.373 * [backup-simplify]: Simplify (+ (* 1 (* phi2 (* 1 (* 1 1)))) (* -1 (* 1 (* phi1 (* 1 1))))) into (- phi2 phi1) 1.374 * [backup-simplify]: Simplify (sqrt (+ (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))))) into (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) 1.374 * [approximate]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in (lambda1 lambda2 phi1 phi2) around 0 1.374 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in phi2 1.374 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in phi2 1.374 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in phi2 1.374 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi2 1.374 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1.374 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.374 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.374 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.374 * [backup-simplify]: Simplify 1/2 into 1/2 1.374 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.374 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.374 * [taylor]: Taking taylor expansion of phi1 in phi2 1.374 * [backup-simplify]: Simplify phi1 into phi1 1.374 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.374 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.374 * [taylor]: Taking taylor expansion of phi2 in phi2 1.374 * [backup-simplify]: Simplify 0 into 0 1.374 * [backup-simplify]: Simplify 1 into 1 1.374 * [backup-simplify]: Simplify (/ 1 1) into 1 1.375 * [backup-simplify]: Simplify (+ 0 1) into 1 1.375 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.375 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.375 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi2 1.375 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.375 * [backup-simplify]: Simplify lambda2 into lambda2 1.375 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.375 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1.376 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1.376 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in phi2 1.376 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi2 1.376 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi2 1.376 * [taylor]: Taking taylor expansion of phi1 in phi2 1.376 * [backup-simplify]: Simplify phi1 into phi1 1.376 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 1.376 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1.376 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in phi2 1.376 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi2 1.376 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1.376 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.376 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.376 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.376 * [backup-simplify]: Simplify 1/2 into 1/2 1.376 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.376 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.376 * [taylor]: Taking taylor expansion of phi1 in phi2 1.376 * [backup-simplify]: Simplify phi1 into phi1 1.376 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.376 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.376 * [taylor]: Taking taylor expansion of phi2 in phi2 1.376 * [backup-simplify]: Simplify 0 into 0 1.376 * [backup-simplify]: Simplify 1 into 1 1.376 * [backup-simplify]: Simplify (/ 1 1) into 1 1.377 * [backup-simplify]: Simplify (+ 0 1) into 1 1.377 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.378 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.378 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi2 1.378 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.378 * [backup-simplify]: Simplify lambda1 into lambda1 1.378 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.378 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 1.378 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 1.378 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi2 1.378 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2 1.378 * [taylor]: Taking taylor expansion of phi2 in phi2 1.378 * [backup-simplify]: Simplify 0 into 0 1.378 * [backup-simplify]: Simplify 1 into 1 1.379 * [backup-simplify]: Simplify (* 1 1) into 1 1.379 * [backup-simplify]: Simplify (/ 1 1) into 1 1.379 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in phi2 1.379 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi2 1.379 * [taylor]: Taking taylor expansion of 2 in phi2 1.379 * [backup-simplify]: Simplify 2 into 2 1.379 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi2 1.379 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi2 1.379 * [taylor]: Taking taylor expansion of phi1 in phi2 1.379 * [backup-simplify]: Simplify phi1 into phi1 1.379 * [taylor]: Taking taylor expansion of phi2 in phi2 1.379 * [backup-simplify]: Simplify 0 into 0 1.379 * [backup-simplify]: Simplify 1 into 1 1.379 * [backup-simplify]: Simplify (* phi1 0) into 0 1.380 * [backup-simplify]: Simplify (+ (* phi1 1) (* 0 0)) into phi1 1.380 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.380 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in phi2 1.380 * [taylor]: Taking taylor expansion of 2 in phi2 1.380 * [backup-simplify]: Simplify 2 into 2 1.380 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in phi2 1.380 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1.380 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.380 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.380 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.380 * [backup-simplify]: Simplify 1/2 into 1/2 1.380 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.380 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.380 * [taylor]: Taking taylor expansion of phi1 in phi2 1.380 * [backup-simplify]: Simplify phi1 into phi1 1.380 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.380 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.380 * [taylor]: Taking taylor expansion of phi2 in phi2 1.380 * [backup-simplify]: Simplify 0 into 0 1.380 * [backup-simplify]: Simplify 1 into 1 1.381 * [backup-simplify]: Simplify (/ 1 1) into 1 1.381 * [backup-simplify]: Simplify (+ 0 1) into 1 1.382 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.382 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.382 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi2 1.382 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.382 * [backup-simplify]: Simplify lambda2 into lambda2 1.382 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.382 * [backup-simplify]: Simplify lambda1 into lambda1 1.382 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.382 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 1.383 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) 1.383 * [backup-simplify]: Simplify (+ 0 1) into 1 1.383 * [backup-simplify]: Simplify (+ 0 1) into 1 1.384 * [backup-simplify]: Simplify (+ 0 1) into 1 1.384 * [backup-simplify]: Simplify (+ 1 0) into 1 1.385 * [backup-simplify]: Simplify (sqrt 1) into 1 1.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.386 * [backup-simplify]: Simplify (+ 0 0) into 0 1.387 * [backup-simplify]: Simplify (+ 0 0) into 0 1.387 * [backup-simplify]: Simplify (+ 0 0) into 0 1.387 * [backup-simplify]: Simplify (* 2 (/ 1 phi1)) into (/ 2 phi1) 1.387 * [backup-simplify]: Simplify (+ (/ 2 phi1) 0) into (* 2 (/ 1 phi1)) 1.387 * [backup-simplify]: Simplify (- (* 2 (/ 1 phi1))) into (- (* 2 (/ 1 phi1))) 1.387 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi1)))) into (- (* 2 (/ 1 phi1))) 1.388 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 phi1))) (* 2 (sqrt 1))) into (/ -1 phi1) 1.388 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in phi1 1.388 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in phi1 1.388 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in phi1 1.388 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi1 1.388 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1.388 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.388 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.388 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.388 * [backup-simplify]: Simplify 1/2 into 1/2 1.388 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.388 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.388 * [taylor]: Taking taylor expansion of phi1 in phi1 1.388 * [backup-simplify]: Simplify 0 into 0 1.388 * [backup-simplify]: Simplify 1 into 1 1.389 * [backup-simplify]: Simplify (/ 1 1) into 1 1.389 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.389 * [taylor]: Taking taylor expansion of phi2 in phi1 1.389 * [backup-simplify]: Simplify phi2 into phi2 1.389 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.389 * [backup-simplify]: Simplify (+ 1 0) into 1 1.390 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.390 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.390 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi1 1.390 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.390 * [backup-simplify]: Simplify lambda2 into lambda2 1.391 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.391 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1.391 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in phi1 1.391 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 1.391 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 1.391 * [taylor]: Taking taylor expansion of phi1 in phi1 1.391 * [backup-simplify]: Simplify 0 into 0 1.391 * [backup-simplify]: Simplify 1 into 1 1.391 * [backup-simplify]: Simplify (* 1 1) into 1 1.392 * [backup-simplify]: Simplify (/ 1 1) into 1 1.392 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in phi1 1.392 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi1 1.392 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1.392 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.392 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.392 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.392 * [backup-simplify]: Simplify 1/2 into 1/2 1.392 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.392 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.392 * [taylor]: Taking taylor expansion of phi1 in phi1 1.392 * [backup-simplify]: Simplify 0 into 0 1.392 * [backup-simplify]: Simplify 1 into 1 1.393 * [backup-simplify]: Simplify (/ 1 1) into 1 1.393 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.393 * [taylor]: Taking taylor expansion of phi2 in phi1 1.393 * [backup-simplify]: Simplify phi2 into phi2 1.393 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.393 * [backup-simplify]: Simplify (+ 1 0) into 1 1.393 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.394 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.394 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi1 1.394 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.394 * [backup-simplify]: Simplify lambda1 into lambda1 1.394 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.394 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 1.394 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 1.394 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 1.394 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 1.394 * [taylor]: Taking taylor expansion of phi2 in phi1 1.394 * [backup-simplify]: Simplify phi2 into phi2 1.394 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.395 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.395 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in phi1 1.395 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 1.395 * [taylor]: Taking taylor expansion of 2 in phi1 1.395 * [backup-simplify]: Simplify 2 into 2 1.395 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 1.395 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 1.395 * [taylor]: Taking taylor expansion of phi1 in phi1 1.395 * [backup-simplify]: Simplify 0 into 0 1.395 * [backup-simplify]: Simplify 1 into 1 1.395 * [taylor]: Taking taylor expansion of phi2 in phi1 1.395 * [backup-simplify]: Simplify phi2 into phi2 1.395 * [backup-simplify]: Simplify (* 0 phi2) into 0 1.395 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 1.395 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.395 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in phi1 1.395 * [taylor]: Taking taylor expansion of 2 in phi1 1.395 * [backup-simplify]: Simplify 2 into 2 1.396 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in phi1 1.396 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1.396 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.396 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.396 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.396 * [backup-simplify]: Simplify 1/2 into 1/2 1.396 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.396 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.396 * [taylor]: Taking taylor expansion of phi1 in phi1 1.396 * [backup-simplify]: Simplify 0 into 0 1.396 * [backup-simplify]: Simplify 1 into 1 1.396 * [backup-simplify]: Simplify (/ 1 1) into 1 1.396 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.396 * [taylor]: Taking taylor expansion of phi2 in phi1 1.396 * [backup-simplify]: Simplify phi2 into phi2 1.396 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.397 * [backup-simplify]: Simplify (+ 1 0) into 1 1.397 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.398 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.398 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi1 1.398 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.398 * [backup-simplify]: Simplify lambda2 into lambda2 1.398 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.398 * [backup-simplify]: Simplify lambda1 into lambda1 1.398 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.398 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 1.398 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) 1.399 * [backup-simplify]: Simplify (+ 1 0) into 1 1.400 * [backup-simplify]: Simplify (+ 0 1) into 1 1.400 * [backup-simplify]: Simplify (+ 1 0) into 1 1.401 * [backup-simplify]: Simplify (sqrt 1) into 1 1.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.402 * [backup-simplify]: Simplify (+ 0 0) into 0 1.403 * [backup-simplify]: Simplify (+ 0 0) into 0 1.403 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 1.403 * [backup-simplify]: Simplify (+ (/ 2 phi2) 0) into (* 2 (/ 1 phi2)) 1.403 * [backup-simplify]: Simplify (- (* 2 (/ 1 phi2))) into (- (* 2 (/ 1 phi2))) 1.403 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 1.404 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 phi2))) (* 2 (sqrt 1))) into (/ -1 phi2) 1.404 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in lambda2 1.404 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in lambda2 1.404 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in lambda2 1.404 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda2 1.404 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1.404 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.404 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.404 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.404 * [backup-simplify]: Simplify 1/2 into 1/2 1.404 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.404 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.404 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.404 * [backup-simplify]: Simplify phi1 into phi1 1.404 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.404 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.404 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.404 * [backup-simplify]: Simplify phi2 into phi2 1.404 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.404 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.404 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.405 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.405 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.405 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.405 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.405 * [backup-simplify]: Simplify (- 0) into 0 1.406 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.406 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 1.406 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.406 * [backup-simplify]: Simplify 0 into 0 1.406 * [backup-simplify]: Simplify 1 into 1 1.406 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.406 * [backup-simplify]: Simplify (* 1 1) into 1 1.406 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.407 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in lambda2 1.407 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 1.407 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 1.407 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.407 * [backup-simplify]: Simplify phi1 into phi1 1.407 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 1.407 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1.407 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in lambda2 1.407 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda2 1.407 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1.407 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.407 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.407 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.407 * [backup-simplify]: Simplify 1/2 into 1/2 1.407 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.407 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.407 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.407 * [backup-simplify]: Simplify phi1 into phi1 1.407 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.407 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.407 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.407 * [backup-simplify]: Simplify phi2 into phi2 1.407 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.407 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.407 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.408 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.408 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.408 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.408 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.409 * [backup-simplify]: Simplify (- 0) into 0 1.409 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.409 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda2 1.409 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.409 * [backup-simplify]: Simplify lambda1 into lambda1 1.409 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.409 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 1.409 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 1.410 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 1.410 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 1.410 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.410 * [backup-simplify]: Simplify phi2 into phi2 1.410 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.410 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.410 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in lambda2 1.410 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 1.410 * [taylor]: Taking taylor expansion of 2 in lambda2 1.410 * [backup-simplify]: Simplify 2 into 2 1.410 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 1.410 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 1.410 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.410 * [backup-simplify]: Simplify phi1 into phi1 1.410 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.410 * [backup-simplify]: Simplify phi2 into phi2 1.410 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 1.410 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 1.410 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in lambda2 1.410 * [taylor]: Taking taylor expansion of 2 in lambda2 1.410 * [backup-simplify]: Simplify 2 into 2 1.410 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in lambda2 1.410 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1.410 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.410 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.410 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.410 * [backup-simplify]: Simplify 1/2 into 1/2 1.410 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.410 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.410 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.411 * [backup-simplify]: Simplify phi1 into phi1 1.411 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.411 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.411 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.411 * [backup-simplify]: Simplify phi2 into phi2 1.411 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.411 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.411 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.411 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.411 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.411 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.411 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.412 * [backup-simplify]: Simplify (- 0) into 0 1.412 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.412 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda2 1.412 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.412 * [backup-simplify]: Simplify 0 into 0 1.412 * [backup-simplify]: Simplify 1 into 1 1.412 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.412 * [backup-simplify]: Simplify lambda1 into lambda1 1.412 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.413 * [backup-simplify]: Simplify (* 0 lambda1) into 0 1.413 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda1)) into lambda1 1.413 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) 1.413 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.414 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.414 * [backup-simplify]: Simplify (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.414 * [backup-simplify]: Simplify (+ 0) into 0 1.415 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1.415 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.415 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.415 * [backup-simplify]: Simplify (+ 0 0) into 0 1.416 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1.417 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.417 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1.418 * [backup-simplify]: Simplify (- 0) into 0 1.418 * [backup-simplify]: Simplify (+ 0 0) into 0 1.418 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 1.420 * [backup-simplify]: Simplify (+ 0 0) into 0 1.421 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) 1.421 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) 1.421 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) 1.422 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) 1.422 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) (* 2 (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1)) 1.422 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in lambda1 1.422 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in lambda1 1.422 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in lambda1 1.422 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 1.422 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1.422 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1.423 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1.423 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.423 * [backup-simplify]: Simplify 1/2 into 1/2 1.423 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1.423 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.423 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.423 * [backup-simplify]: Simplify phi1 into phi1 1.423 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.423 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.423 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.423 * [backup-simplify]: Simplify phi2 into phi2 1.423 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.423 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.423 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.423 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.423 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.423 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.424 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.424 * [backup-simplify]: Simplify (- 0) into 0 1.424 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.424 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 1.424 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.424 * [backup-simplify]: Simplify lambda2 into lambda2 1.425 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.425 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1.425 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1.425 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in lambda1 1.425 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 1.425 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 1.425 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.425 * [backup-simplify]: Simplify phi1 into phi1 1.425 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 1.425 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1.425 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in lambda1 1.425 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 1.425 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1.425 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1.426 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1.426 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.426 * [backup-simplify]: Simplify 1/2 into 1/2 1.426 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1.426 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.426 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.426 * [backup-simplify]: Simplify phi1 into phi1 1.426 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.426 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.426 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.426 * [backup-simplify]: Simplify phi2 into phi2 1.426 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.426 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.426 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.426 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.426 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.427 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.427 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.427 * [backup-simplify]: Simplify (- 0) into 0 1.427 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.427 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 1.427 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.427 * [backup-simplify]: Simplify 0 into 0 1.427 * [backup-simplify]: Simplify 1 into 1 1.428 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.428 * [backup-simplify]: Simplify (* 1 1) into 1 1.428 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.428 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 1.428 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 1.428 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.428 * [backup-simplify]: Simplify phi2 into phi2 1.429 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.429 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.429 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in lambda1 1.429 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 1.429 * [taylor]: Taking taylor expansion of 2 in lambda1 1.429 * [backup-simplify]: Simplify 2 into 2 1.429 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 1.429 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 1.429 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.429 * [backup-simplify]: Simplify phi1 into phi1 1.429 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.429 * [backup-simplify]: Simplify phi2 into phi2 1.429 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 1.429 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 1.429 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in lambda1 1.429 * [taylor]: Taking taylor expansion of 2 in lambda1 1.429 * [backup-simplify]: Simplify 2 into 2 1.429 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in lambda1 1.429 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1.429 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1.429 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1.429 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.429 * [backup-simplify]: Simplify 1/2 into 1/2 1.429 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1.429 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.429 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.429 * [backup-simplify]: Simplify phi1 into phi1 1.429 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.429 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.429 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.429 * [backup-simplify]: Simplify phi2 into phi2 1.429 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.430 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.430 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.430 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.430 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.430 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.430 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.431 * [backup-simplify]: Simplify (- 0) into 0 1.431 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.431 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1 1.431 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.431 * [backup-simplify]: Simplify lambda2 into lambda2 1.431 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.431 * [backup-simplify]: Simplify 0 into 0 1.431 * [backup-simplify]: Simplify 1 into 1 1.431 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.431 * [backup-simplify]: Simplify (* lambda2 0) into 0 1.432 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 1.432 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 1.432 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.433 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.433 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.433 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.433 * [backup-simplify]: Simplify (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.434 * [backup-simplify]: Simplify (+ 0) into 0 1.434 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1.434 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.434 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.435 * [backup-simplify]: Simplify (+ 0 0) into 0 1.435 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1.436 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.437 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1.437 * [backup-simplify]: Simplify (- 0) into 0 1.438 * [backup-simplify]: Simplify (+ 0 0) into 0 1.438 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 1.440 * [backup-simplify]: Simplify (+ 0 0) into 0 1.440 * [backup-simplify]: Simplify (+ 0 0) into 0 1.441 * [backup-simplify]: Simplify (+ 0 0) into 0 1.441 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 1.441 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 1.442 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1.442 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1.443 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 1.443 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in lambda1 1.443 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in lambda1 1.443 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in lambda1 1.443 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 1.443 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1.443 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1.443 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1.443 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.443 * [backup-simplify]: Simplify 1/2 into 1/2 1.443 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1.443 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.443 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.443 * [backup-simplify]: Simplify phi1 into phi1 1.443 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.443 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.443 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.443 * [backup-simplify]: Simplify phi2 into phi2 1.443 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.443 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.444 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.444 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.444 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.444 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.444 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.445 * [backup-simplify]: Simplify (- 0) into 0 1.445 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.445 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 1.445 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.445 * [backup-simplify]: Simplify lambda2 into lambda2 1.445 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.445 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1.445 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1.445 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in lambda1 1.445 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 1.445 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 1.446 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.446 * [backup-simplify]: Simplify phi1 into phi1 1.446 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 1.446 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1.446 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in lambda1 1.446 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 1.446 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1.446 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1.446 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1.446 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.446 * [backup-simplify]: Simplify 1/2 into 1/2 1.446 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1.446 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.446 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.446 * [backup-simplify]: Simplify phi1 into phi1 1.446 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.446 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.446 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.446 * [backup-simplify]: Simplify phi2 into phi2 1.446 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.446 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.446 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.446 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.447 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.447 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.447 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.447 * [backup-simplify]: Simplify (- 0) into 0 1.447 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.448 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 1.448 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.448 * [backup-simplify]: Simplify 0 into 0 1.448 * [backup-simplify]: Simplify 1 into 1 1.448 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.448 * [backup-simplify]: Simplify (* 1 1) into 1 1.448 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.449 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 1.449 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 1.449 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.449 * [backup-simplify]: Simplify phi2 into phi2 1.449 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.449 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.449 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in lambda1 1.449 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 1.449 * [taylor]: Taking taylor expansion of 2 in lambda1 1.449 * [backup-simplify]: Simplify 2 into 2 1.449 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 1.449 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 1.449 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.449 * [backup-simplify]: Simplify phi1 into phi1 1.449 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.449 * [backup-simplify]: Simplify phi2 into phi2 1.449 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 1.449 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 1.449 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in lambda1 1.449 * [taylor]: Taking taylor expansion of 2 in lambda1 1.449 * [backup-simplify]: Simplify 2 into 2 1.450 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in lambda1 1.450 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1.450 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1.450 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1.450 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.450 * [backup-simplify]: Simplify 1/2 into 1/2 1.450 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1.450 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.450 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.450 * [backup-simplify]: Simplify phi1 into phi1 1.450 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.450 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.450 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.450 * [backup-simplify]: Simplify phi2 into phi2 1.450 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.450 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.450 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.450 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.451 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.451 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.451 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.451 * [backup-simplify]: Simplify (- 0) into 0 1.451 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.452 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1 1.452 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.452 * [backup-simplify]: Simplify lambda2 into lambda2 1.452 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.452 * [backup-simplify]: Simplify 0 into 0 1.452 * [backup-simplify]: Simplify 1 into 1 1.452 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.452 * [backup-simplify]: Simplify (* lambda2 0) into 0 1.452 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 1.453 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 1.453 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.453 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.453 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.454 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.454 * [backup-simplify]: Simplify (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.454 * [backup-simplify]: Simplify (+ 0) into 0 1.455 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1.455 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.455 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.455 * [backup-simplify]: Simplify (+ 0 0) into 0 1.456 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1.457 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.457 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1.458 * [backup-simplify]: Simplify (- 0) into 0 1.458 * [backup-simplify]: Simplify (+ 0 0) into 0 1.458 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 1.460 * [backup-simplify]: Simplify (+ 0 0) into 0 1.461 * [backup-simplify]: Simplify (+ 0 0) into 0 1.461 * [backup-simplify]: Simplify (+ 0 0) into 0 1.461 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 1.462 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 1.462 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1.462 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1.463 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 1.463 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.463 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.463 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.463 * [backup-simplify]: Simplify 1/2 into 1/2 1.463 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.463 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.463 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.463 * [backup-simplify]: Simplify phi1 into phi1 1.463 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.463 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.463 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.463 * [backup-simplify]: Simplify phi2 into phi2 1.463 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.464 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.464 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.464 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.464 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.464 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) in lambda2 1.464 * [taylor]: Taking taylor expansion of -1 in lambda2 1.464 * [backup-simplify]: Simplify -1 into -1 1.464 * [taylor]: Taking taylor expansion of (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2) in lambda2 1.464 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.464 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.464 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.464 * [backup-simplify]: Simplify 1/2 into 1/2 1.464 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.464 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.464 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.464 * [backup-simplify]: Simplify phi1 into phi1 1.464 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.464 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.464 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.464 * [backup-simplify]: Simplify phi2 into phi2 1.464 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.465 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.465 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.465 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.465 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.465 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.465 * [backup-simplify]: Simplify 0 into 0 1.465 * [backup-simplify]: Simplify 1 into 1 1.465 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.465 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.469 * [backup-simplify]: Simplify (- 0) into 0 1.469 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.469 * [backup-simplify]: Simplify (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.469 * [backup-simplify]: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.469 * [taylor]: Taking taylor expansion of (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 1.470 * [taylor]: Taking taylor expansion of -1 in phi1 1.470 * [backup-simplify]: Simplify -1 into -1 1.470 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.470 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.470 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.470 * [backup-simplify]: Simplify 1/2 into 1/2 1.470 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.470 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.470 * [taylor]: Taking taylor expansion of phi1 in phi1 1.470 * [backup-simplify]: Simplify 0 into 0 1.470 * [backup-simplify]: Simplify 1 into 1 1.470 * [backup-simplify]: Simplify (/ 1 1) into 1 1.470 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.470 * [taylor]: Taking taylor expansion of phi2 in phi1 1.470 * [backup-simplify]: Simplify phi2 into phi2 1.471 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.471 * [backup-simplify]: Simplify (+ 1 0) into 1 1.471 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.472 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.472 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.472 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.472 * [backup-simplify]: Simplify (- 0) into 0 1.472 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.472 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.473 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.473 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.473 * [backup-simplify]: Simplify 1/2 into 1/2 1.473 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.473 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.473 * [taylor]: Taking taylor expansion of phi1 in phi1 1.473 * [backup-simplify]: Simplify 0 into 0 1.473 * [backup-simplify]: Simplify 1 into 1 1.473 * [backup-simplify]: Simplify (/ 1 1) into 1 1.473 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.473 * [taylor]: Taking taylor expansion of phi2 in phi1 1.473 * [backup-simplify]: Simplify phi2 into phi2 1.473 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.474 * [backup-simplify]: Simplify (+ 1 0) into 1 1.474 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.474 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.475 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.476 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1.476 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.476 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.477 * [backup-simplify]: Simplify (+ 0 0) into 0 1.477 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1.478 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.479 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1.479 * [backup-simplify]: Simplify (- 0) into 0 1.480 * [backup-simplify]: Simplify (+ 0 0) into 0 1.480 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.483 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow phi2 2))) into (/ 1 (pow phi2 2)) 1.483 * [backup-simplify]: Simplify (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 1.483 * [backup-simplify]: Simplify (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) into (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) 1.484 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 1.484 * [backup-simplify]: Simplify (+ 0) into 0 1.485 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1.485 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.485 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.485 * [backup-simplify]: Simplify (+ 0 0) into 0 1.486 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1.486 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.487 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1.487 * [backup-simplify]: Simplify (- 0) into 0 1.488 * [backup-simplify]: Simplify (+ 0 0) into 0 1.488 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.489 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 1) (* 0 0))) into 0 1.489 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)))) into 0 1.490 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into 0 1.490 * [backup-simplify]: Simplify (+ (/ 2 (* phi1 phi2)) 0) into (* 2 (/ 1 (* phi1 phi2))) 1.490 * [backup-simplify]: Simplify (- (* 2 (/ 1 (* phi1 phi2)))) into (- (* 2 (/ 1 (* phi1 phi2)))) 1.490 * [backup-simplify]: Simplify (+ (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (* 2 (/ 1 (* phi1 phi2)))) 1.492 * [backup-simplify]: Simplify (/ (- (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (* 2 (/ 1 (* phi1 phi2)))) (pow (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 2) (+)) (* 2 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1.492 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in lambda2 1.492 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.492 * [backup-simplify]: Simplify 1/2 into 1/2 1.492 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in lambda2 1.492 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in lambda2 1.492 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in lambda2 1.492 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 1.492 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 1.492 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.492 * [backup-simplify]: Simplify phi2 into phi2 1.492 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.492 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.492 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 1.493 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 1.493 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.493 * [backup-simplify]: Simplify phi1 into phi1 1.493 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 1.493 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1.493 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 1.493 * [taylor]: Taking taylor expansion of 2 in lambda2 1.493 * [backup-simplify]: Simplify 2 into 2 1.493 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 1.493 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 1.493 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.493 * [backup-simplify]: Simplify phi1 into phi1 1.493 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.493 * [backup-simplify]: Simplify phi2 into phi2 1.493 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 1.493 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 1.493 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.493 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.493 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.493 * [backup-simplify]: Simplify 1/2 into 1/2 1.493 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.493 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.493 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.493 * [backup-simplify]: Simplify phi1 into phi1 1.493 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.493 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.493 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.493 * [backup-simplify]: Simplify phi2 into phi2 1.494 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.494 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.494 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.494 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.494 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.494 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 1.494 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 1.494 * [backup-simplify]: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) 1.495 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) 1.495 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.495 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.495 * [backup-simplify]: Simplify (- 0) into 0 1.496 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.496 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.496 * [backup-simplify]: Simplify (+ 0) into 0 1.497 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1.497 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.497 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.498 * [backup-simplify]: Simplify (+ 0 0) into 0 1.499 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1.499 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.500 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1.500 * [backup-simplify]: Simplify (- 0) into 0 1.501 * [backup-simplify]: Simplify (+ 0 0) into 0 1.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (/ 0 1)))) into 0 1.502 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.502 * [taylor]: Taking taylor expansion of 0 in phi1 1.502 * [backup-simplify]: Simplify 0 into 0 1.503 * [backup-simplify]: Simplify (+ 0) into 0 1.503 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1.503 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.504 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.504 * [backup-simplify]: Simplify (+ 0 0) into 0 1.504 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1.505 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.506 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1.506 * [backup-simplify]: Simplify (- 0) into 0 1.506 * [backup-simplify]: Simplify (+ 0 0) into 0 1.506 * [taylor]: Taking taylor expansion of 0 in phi1 1.507 * [backup-simplify]: Simplify 0 into 0 1.507 * [backup-simplify]: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.507 * [taylor]: Taking taylor expansion of (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi2 1.507 * [taylor]: Taking taylor expansion of -1 in phi2 1.507 * [backup-simplify]: Simplify -1 into -1 1.507 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.507 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.507 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.507 * [backup-simplify]: Simplify 1/2 into 1/2 1.507 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.507 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.507 * [taylor]: Taking taylor expansion of phi1 in phi2 1.507 * [backup-simplify]: Simplify phi1 into phi1 1.507 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.507 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.507 * [taylor]: Taking taylor expansion of phi2 in phi2 1.507 * [backup-simplify]: Simplify 0 into 0 1.507 * [backup-simplify]: Simplify 1 into 1 1.508 * [backup-simplify]: Simplify (/ 1 1) into 1 1.508 * [backup-simplify]: Simplify (+ 0 1) into 1 1.508 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.509 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.509 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.509 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.509 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.509 * [backup-simplify]: Simplify 1/2 into 1/2 1.509 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.509 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.509 * [taylor]: Taking taylor expansion of phi1 in phi2 1.509 * [backup-simplify]: Simplify phi1 into phi1 1.509 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.509 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.509 * [taylor]: Taking taylor expansion of phi2 in phi2 1.509 * [backup-simplify]: Simplify 0 into 0 1.509 * [backup-simplify]: Simplify 1 into 1 1.509 * [backup-simplify]: Simplify (/ 1 1) into 1 1.510 * [backup-simplify]: Simplify (+ 0 1) into 1 1.510 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.510 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.511 * [backup-simplify]: Simplify (+ 0) into 0 1.511 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1.512 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.512 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.512 * [backup-simplify]: Simplify (+ 0 0) into 0 1.513 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1.513 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.514 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1.514 * [backup-simplify]: Simplify (- 0) into 0 1.515 * [backup-simplify]: Simplify (+ 0 0) into 0 1.515 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.515 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 1.515 * [backup-simplify]: Simplify (- (/ 0 (pow lambda2 2)) (+ (* (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (/ 0 (pow lambda2 2))))) into 0 1.516 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 1.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))))) into 0 1.517 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.518 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.518 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.518 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.518 * [backup-simplify]: Simplify (+ 0 0) into 0 1.520 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.521 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.522 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.522 * [backup-simplify]: Simplify (- 0) into 0 1.523 * [backup-simplify]: Simplify (+ 0 0) into 0 1.524 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into 0 1.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.527 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))))) into 0 1.527 * [backup-simplify]: Simplify (+ 0 0) into 0 1.528 * [backup-simplify]: Simplify (+ 0 0) into 0 1.528 * [backup-simplify]: Simplify (+ 0 0) into 0 1.528 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 1.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))))) into 0 1.529 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (* phi1 phi2)))) into 0 1.530 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.531 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1.531 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.531 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.532 * [backup-simplify]: Simplify (+ 0 0) into 0 1.533 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1.533 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.534 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1.534 * [backup-simplify]: Simplify (- 0) into 0 1.535 * [backup-simplify]: Simplify (+ 0 0) into 0 1.535 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1.536 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.537 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 1.538 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into 0 1.538 * [backup-simplify]: Simplify (+ 0 0) into 0 1.538 * [backup-simplify]: Simplify (- 0) into 0 1.539 * [backup-simplify]: Simplify (+ 0 0) into 0 1.540 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))))) (* 2 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1.540 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in lambda2 1.540 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.540 * [backup-simplify]: Simplify 1/2 into 1/2 1.540 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in lambda2 1.540 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) in lambda2 1.540 * [taylor]: Taking taylor expansion of (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) in lambda2 1.540 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (pow phi2 2))) in lambda2 1.540 * [taylor]: Taking taylor expansion of (* lambda2 (pow phi2 2)) in lambda2 1.540 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.540 * [backup-simplify]: Simplify 0 into 0 1.540 * [backup-simplify]: Simplify 1 into 1 1.540 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 1.540 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.540 * [backup-simplify]: Simplify phi2 into phi2 1.540 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.540 * [backup-simplify]: Simplify (* 0 (pow phi2 2)) into 0 1.541 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1.541 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow phi2 2))) into (pow phi2 2) 1.541 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.541 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (pow phi1 2))) in lambda2 1.541 * [taylor]: Taking taylor expansion of (* lambda2 (pow phi1 2)) in lambda2 1.541 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.541 * [backup-simplify]: Simplify 0 into 0 1.541 * [backup-simplify]: Simplify 1 into 1 1.541 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 1.541 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.541 * [backup-simplify]: Simplify phi1 into phi1 1.541 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 1.541 * [backup-simplify]: Simplify (* 0 (pow phi1 2)) into 0 1.542 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 1.542 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow phi1 2))) into (pow phi1 2) 1.542 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1.542 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* lambda2 (* phi1 phi2)))) in lambda2 1.542 * [taylor]: Taking taylor expansion of 2 in lambda2 1.542 * [backup-simplify]: Simplify 2 into 2 1.542 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (* phi1 phi2))) in lambda2 1.542 * [taylor]: Taking taylor expansion of (* lambda2 (* phi1 phi2)) in lambda2 1.542 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.542 * [backup-simplify]: Simplify 0 into 0 1.542 * [backup-simplify]: Simplify 1 into 1 1.542 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 1.542 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.542 * [backup-simplify]: Simplify phi1 into phi1 1.542 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.542 * [backup-simplify]: Simplify phi2 into phi2 1.543 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 1.543 * [backup-simplify]: Simplify (* 0 (* phi1 phi2)) into 0 1.543 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 1.543 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* phi1 phi2))) into (* phi1 phi2) 1.543 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 1.543 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.543 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.543 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.543 * [backup-simplify]: Simplify 1/2 into 1/2 1.543 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.543 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.543 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.543 * [backup-simplify]: Simplify phi1 into phi1 1.544 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.544 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.544 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.544 * [backup-simplify]: Simplify phi2 into phi2 1.544 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.544 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.544 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.544 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.544 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.544 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 1.544 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 1.545 * [backup-simplify]: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) 1.545 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) 1.545 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.545 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.546 * [backup-simplify]: Simplify (- 0) into 0 1.546 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.546 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.547 * [backup-simplify]: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1.547 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in phi1 1.547 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.547 * [backup-simplify]: Simplify 1/2 into 1/2 1.547 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 1.547 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1 1.547 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in phi1 1.547 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 1.547 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 1.547 * [taylor]: Taking taylor expansion of phi2 in phi1 1.547 * [backup-simplify]: Simplify phi2 into phi2 1.547 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.547 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.547 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 1.547 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 1.547 * [taylor]: Taking taylor expansion of phi1 in phi1 1.547 * [backup-simplify]: Simplify 0 into 0 1.547 * [backup-simplify]: Simplify 1 into 1 1.548 * [backup-simplify]: Simplify (* 1 1) into 1 1.548 * [backup-simplify]: Simplify (/ 1 1) into 1 1.548 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 1.548 * [taylor]: Taking taylor expansion of 2 in phi1 1.548 * [backup-simplify]: Simplify 2 into 2 1.548 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 1.548 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 1.548 * [taylor]: Taking taylor expansion of phi1 in phi1 1.548 * [backup-simplify]: Simplify 0 into 0 1.548 * [backup-simplify]: Simplify 1 into 1 1.548 * [taylor]: Taking taylor expansion of phi2 in phi1 1.548 * [backup-simplify]: Simplify phi2 into phi2 1.549 * [backup-simplify]: Simplify (* 0 phi2) into 0 1.549 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 1.549 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.549 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.549 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.549 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.549 * [backup-simplify]: Simplify 1/2 into 1/2 1.549 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.549 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.549 * [taylor]: Taking taylor expansion of phi1 in phi1 1.549 * [backup-simplify]: Simplify 0 into 0 1.549 * [backup-simplify]: Simplify 1 into 1 1.550 * [backup-simplify]: Simplify (/ 1 1) into 1 1.550 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.550 * [taylor]: Taking taylor expansion of phi2 in phi1 1.550 * [backup-simplify]: Simplify phi2 into phi2 1.550 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.550 * [backup-simplify]: Simplify (+ 1 0) into 1 1.551 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.551 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.551 * [backup-simplify]: Simplify (+ 0 1) into 1 1.552 * [backup-simplify]: Simplify (+ 1 0) into 1 1.552 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.552 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.554 * [backup-simplify]: Simplify (+ 0 0) into 0 1.554 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 1.554 * [backup-simplify]: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2))) 1.554 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 1.555 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (+ (* (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (- (* 2 (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)))) 1.555 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))) (* 0 (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) 1.555 * [taylor]: Taking taylor expansion of (- (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) in phi2 1.555 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)) in phi2 1.555 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2) in phi2 1.555 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.555 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.555 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.555 * [backup-simplify]: Simplify 1/2 into 1/2 1.555 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.555 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.555 * [taylor]: Taking taylor expansion of phi1 in phi2 1.555 * [backup-simplify]: Simplify phi1 into phi1 1.555 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.555 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.555 * [taylor]: Taking taylor expansion of phi2 in phi2 1.555 * [backup-simplify]: Simplify 0 into 0 1.556 * [backup-simplify]: Simplify 1 into 1 1.556 * [backup-simplify]: Simplify (/ 1 1) into 1 1.556 * [backup-simplify]: Simplify (+ 0 1) into 1 1.557 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.557 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.557 * [taylor]: Taking taylor expansion of phi2 in phi2 1.557 * [backup-simplify]: Simplify 0 into 0 1.557 * [backup-simplify]: Simplify 1 into 1 1.557 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.558 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) (* 0 0)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.558 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.558 * [backup-simplify]: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1.559 * [backup-simplify]: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1.559 * [backup-simplify]: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1.559 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in phi1 1.559 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.559 * [backup-simplify]: Simplify 1/2 into 1/2 1.559 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 1.559 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1 1.559 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in phi1 1.559 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 1.559 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 1.559 * [taylor]: Taking taylor expansion of phi2 in phi1 1.559 * [backup-simplify]: Simplify phi2 into phi2 1.560 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.560 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.560 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 1.560 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 1.560 * [taylor]: Taking taylor expansion of phi1 in phi1 1.560 * [backup-simplify]: Simplify 0 into 0 1.560 * [backup-simplify]: Simplify 1 into 1 1.560 * [backup-simplify]: Simplify (* 1 1) into 1 1.561 * [backup-simplify]: Simplify (/ 1 1) into 1 1.561 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 1.561 * [taylor]: Taking taylor expansion of 2 in phi1 1.561 * [backup-simplify]: Simplify 2 into 2 1.561 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 1.561 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 1.561 * [taylor]: Taking taylor expansion of phi1 in phi1 1.561 * [backup-simplify]: Simplify 0 into 0 1.561 * [backup-simplify]: Simplify 1 into 1 1.561 * [taylor]: Taking taylor expansion of phi2 in phi1 1.561 * [backup-simplify]: Simplify phi2 into phi2 1.561 * [backup-simplify]: Simplify (* 0 phi2) into 0 1.561 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 1.561 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.561 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.561 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.562 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.562 * [backup-simplify]: Simplify 1/2 into 1/2 1.562 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.562 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.562 * [taylor]: Taking taylor expansion of phi1 in phi1 1.562 * [backup-simplify]: Simplify 0 into 0 1.562 * [backup-simplify]: Simplify 1 into 1 1.562 * [backup-simplify]: Simplify (/ 1 1) into 1 1.562 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.562 * [taylor]: Taking taylor expansion of phi2 in phi1 1.562 * [backup-simplify]: Simplify phi2 into phi2 1.562 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.563 * [backup-simplify]: Simplify (+ 1 0) into 1 1.563 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.563 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.564 * [backup-simplify]: Simplify (+ 0 1) into 1 1.564 * [backup-simplify]: Simplify (+ 1 0) into 1 1.564 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.566 * [backup-simplify]: Simplify (+ 0 0) into 0 1.566 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 1.566 * [backup-simplify]: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2))) 1.566 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 1.567 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (+ (* (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (- (* 2 (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)))) 1.567 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))) (* 0 (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) 1.567 * [taylor]: Taking taylor expansion of (- (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) in phi2 1.567 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)) in phi2 1.567 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2) in phi2 1.567 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.567 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.567 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.567 * [backup-simplify]: Simplify 1/2 into 1/2 1.567 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.567 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.567 * [taylor]: Taking taylor expansion of phi1 in phi2 1.568 * [backup-simplify]: Simplify phi1 into phi1 1.568 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.568 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.568 * [taylor]: Taking taylor expansion of phi2 in phi2 1.568 * [backup-simplify]: Simplify 0 into 0 1.568 * [backup-simplify]: Simplify 1 into 1 1.568 * [backup-simplify]: Simplify (/ 1 1) into 1 1.569 * [backup-simplify]: Simplify (+ 0 1) into 1 1.569 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.569 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.569 * [taylor]: Taking taylor expansion of phi2 in phi2 1.569 * [backup-simplify]: Simplify 0 into 0 1.569 * [backup-simplify]: Simplify 1 into 1 1.569 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.570 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) (* 0 0)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.570 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.570 * [backup-simplify]: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1.570 * [backup-simplify]: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1.571 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.572 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1.572 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.572 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.573 * [backup-simplify]: Simplify (+ 0 0) into 0 1.574 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1.575 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.575 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1.575 * [backup-simplify]: Simplify (- 0) into 0 1.576 * [backup-simplify]: Simplify (+ 0 0) into 0 1.577 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.578 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1.578 * [taylor]: Taking taylor expansion of 0 in phi1 1.578 * [backup-simplify]: Simplify 0 into 0 1.579 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.580 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1.580 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.580 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.581 * [backup-simplify]: Simplify (+ 0 0) into 0 1.582 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1.582 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.583 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1.583 * [backup-simplify]: Simplify (- 0) into 0 1.584 * [backup-simplify]: Simplify (+ 0 0) into 0 1.584 * [taylor]: Taking taylor expansion of 0 in phi1 1.584 * [backup-simplify]: Simplify 0 into 0 1.584 * [taylor]: Taking taylor expansion of 0 in phi2 1.584 * [backup-simplify]: Simplify 0 into 0 1.584 * [taylor]: Taking taylor expansion of 0 in phi2 1.584 * [backup-simplify]: Simplify 0 into 0 1.585 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.585 * [taylor]: Taking taylor expansion of 0 in phi2 1.585 * [backup-simplify]: Simplify 0 into 0 1.585 * [taylor]: Taking taylor expansion of 0 in phi2 1.585 * [backup-simplify]: Simplify 0 into 0 1.585 * [backup-simplify]: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.585 * [backup-simplify]: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.587 * [backup-simplify]: Simplify (+ (* (* -1 (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2)))))) (* 1 (* 1 (* (/ 1 (/ 1 lambda2)) 1)))) (+ (* (- (/ 1 (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))))) (* (/ 1 (/ 1 phi2)) (* (/ 1 (/ 1 phi1)) (* 1 (/ 1 lambda1))))) (* (- (/ 1 (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))))) (* (/ 1 (/ 1 phi2)) (* (/ 1 (/ 1 phi1)) (* (/ 1 (/ 1 lambda2)) (pow (/ 1 lambda1) 2))))))) into (- (+ (/ (* lambda2 (* phi1 phi2)) (* (cos (* 1/2 (+ phi1 phi2))) (pow lambda1 2))) (+ (/ (* phi1 phi2) (* (cos (* 1/2 (+ phi1 phi2))) lambda1)) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))) 1.588 * [backup-simplify]: Simplify (sqrt (+ (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))))) into (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) 1.588 * [approximate]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in (lambda1 lambda2 phi1 phi2) around 0 1.588 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in phi2 1.588 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in phi2 1.588 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in phi2 1.588 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi2 1.588 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2 1.588 * [taylor]: Taking taylor expansion of phi2 in phi2 1.588 * [backup-simplify]: Simplify 0 into 0 1.588 * [backup-simplify]: Simplify 1 into 1 1.589 * [backup-simplify]: Simplify (* 1 1) into 1 1.589 * [backup-simplify]: Simplify (/ 1 1) into 1 1.589 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in phi2 1.589 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi2 1.589 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi2 1.589 * [taylor]: Taking taylor expansion of phi1 in phi2 1.589 * [backup-simplify]: Simplify phi1 into phi1 1.589 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 1.589 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1.589 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in phi2 1.589 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi2 1.589 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1.589 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.590 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.590 * [taylor]: Taking taylor expansion of -1/2 in phi2 1.590 * [backup-simplify]: Simplify -1/2 into -1/2 1.590 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.590 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.590 * [taylor]: Taking taylor expansion of phi1 in phi2 1.590 * [backup-simplify]: Simplify phi1 into phi1 1.590 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.590 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.590 * [taylor]: Taking taylor expansion of phi2 in phi2 1.590 * [backup-simplify]: Simplify 0 into 0 1.590 * [backup-simplify]: Simplify 1 into 1 1.590 * [backup-simplify]: Simplify (/ 1 1) into 1 1.591 * [backup-simplify]: Simplify (+ 0 1) into 1 1.591 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.591 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.591 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi2 1.591 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.591 * [backup-simplify]: Simplify lambda1 into lambda1 1.592 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.592 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 1.592 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 1.592 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi2 1.592 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1.592 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.592 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.592 * [taylor]: Taking taylor expansion of -1/2 in phi2 1.592 * [backup-simplify]: Simplify -1/2 into -1/2 1.592 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.592 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.592 * [taylor]: Taking taylor expansion of phi1 in phi2 1.592 * [backup-simplify]: Simplify phi1 into phi1 1.592 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.592 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.592 * [taylor]: Taking taylor expansion of phi2 in phi2 1.592 * [backup-simplify]: Simplify 0 into 0 1.592 * [backup-simplify]: Simplify 1 into 1 1.593 * [backup-simplify]: Simplify (/ 1 1) into 1 1.593 * [backup-simplify]: Simplify (+ 0 1) into 1 1.594 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.594 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.594 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi2 1.594 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.594 * [backup-simplify]: Simplify lambda2 into lambda2 1.594 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.594 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1.595 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1.595 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in phi2 1.595 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi2 1.595 * [taylor]: Taking taylor expansion of 2 in phi2 1.595 * [backup-simplify]: Simplify 2 into 2 1.595 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi2 1.595 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi2 1.595 * [taylor]: Taking taylor expansion of phi1 in phi2 1.595 * [backup-simplify]: Simplify phi1 into phi1 1.595 * [taylor]: Taking taylor expansion of phi2 in phi2 1.595 * [backup-simplify]: Simplify 0 into 0 1.595 * [backup-simplify]: Simplify 1 into 1 1.595 * [backup-simplify]: Simplify (* phi1 0) into 0 1.595 * [backup-simplify]: Simplify (+ (* phi1 1) (* 0 0)) into phi1 1.596 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.596 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in phi2 1.596 * [taylor]: Taking taylor expansion of 2 in phi2 1.596 * [backup-simplify]: Simplify 2 into 2 1.596 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in phi2 1.596 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1.596 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.596 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.596 * [taylor]: Taking taylor expansion of -1/2 in phi2 1.596 * [backup-simplify]: Simplify -1/2 into -1/2 1.596 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.596 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.596 * [taylor]: Taking taylor expansion of phi1 in phi2 1.596 * [backup-simplify]: Simplify phi1 into phi1 1.596 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.596 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.596 * [taylor]: Taking taylor expansion of phi2 in phi2 1.596 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify 1 into 1 1.596 * [backup-simplify]: Simplify (/ 1 1) into 1 1.597 * [backup-simplify]: Simplify (+ 0 1) into 1 1.597 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.597 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.598 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in phi2 1.598 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.598 * [backup-simplify]: Simplify lambda1 into lambda1 1.598 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.598 * [backup-simplify]: Simplify lambda2 into lambda2 1.598 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.598 * [backup-simplify]: Simplify (* lambda1 lambda2) into (* lambda2 lambda1) 1.598 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) 1.599 * [backup-simplify]: Simplify (+ 1 0) into 1 1.599 * [backup-simplify]: Simplify (+ 1 0) into 1 1.599 * [backup-simplify]: Simplify (sqrt 1) into 1 1.600 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.601 * [backup-simplify]: Simplify (+ 0 0) into 0 1.601 * [backup-simplify]: Simplify (* 2 (/ 1 phi1)) into (/ 2 phi1) 1.601 * [backup-simplify]: Simplify (+ (/ 2 phi1) 0) into (* 2 (/ 1 phi1)) 1.602 * [backup-simplify]: Simplify (- (* 2 (/ 1 phi1))) into (- (* 2 (/ 1 phi1))) 1.602 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi1)))) into (- (* 2 (/ 1 phi1))) 1.602 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 phi1))) (* 2 (sqrt 1))) into (/ -1 phi1) 1.602 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in phi1 1.602 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in phi1 1.602 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in phi1 1.602 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 1.603 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 1.603 * [taylor]: Taking taylor expansion of phi2 in phi1 1.603 * [backup-simplify]: Simplify phi2 into phi2 1.603 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.603 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.603 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in phi1 1.603 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 1.603 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 1.603 * [taylor]: Taking taylor expansion of phi1 in phi1 1.603 * [backup-simplify]: Simplify 0 into 0 1.603 * [backup-simplify]: Simplify 1 into 1 1.603 * [backup-simplify]: Simplify (* 1 1) into 1 1.604 * [backup-simplify]: Simplify (/ 1 1) into 1 1.604 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in phi1 1.604 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi1 1.604 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1.604 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.604 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.604 * [taylor]: Taking taylor expansion of -1/2 in phi1 1.604 * [backup-simplify]: Simplify -1/2 into -1/2 1.604 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.604 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.604 * [taylor]: Taking taylor expansion of phi1 in phi1 1.604 * [backup-simplify]: Simplify 0 into 0 1.604 * [backup-simplify]: Simplify 1 into 1 1.604 * [backup-simplify]: Simplify (/ 1 1) into 1 1.604 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.604 * [taylor]: Taking taylor expansion of phi2 in phi1 1.604 * [backup-simplify]: Simplify phi2 into phi2 1.605 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.605 * [backup-simplify]: Simplify (+ 1 0) into 1 1.605 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.605 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.605 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi1 1.605 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.605 * [backup-simplify]: Simplify lambda1 into lambda1 1.605 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.605 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 1.606 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 1.606 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi1 1.606 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1.606 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.606 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.606 * [taylor]: Taking taylor expansion of -1/2 in phi1 1.606 * [backup-simplify]: Simplify -1/2 into -1/2 1.606 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.606 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.606 * [taylor]: Taking taylor expansion of phi1 in phi1 1.606 * [backup-simplify]: Simplify 0 into 0 1.606 * [backup-simplify]: Simplify 1 into 1 1.606 * [backup-simplify]: Simplify (/ 1 1) into 1 1.606 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.606 * [taylor]: Taking taylor expansion of phi2 in phi1 1.606 * [backup-simplify]: Simplify phi2 into phi2 1.606 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.606 * [backup-simplify]: Simplify (+ 1 0) into 1 1.607 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.607 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.607 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi1 1.607 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.607 * [backup-simplify]: Simplify lambda2 into lambda2 1.607 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.607 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1.607 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1.607 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in phi1 1.607 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 1.607 * [taylor]: Taking taylor expansion of 2 in phi1 1.607 * [backup-simplify]: Simplify 2 into 2 1.607 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 1.607 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 1.607 * [taylor]: Taking taylor expansion of phi1 in phi1 1.607 * [backup-simplify]: Simplify 0 into 0 1.607 * [backup-simplify]: Simplify 1 into 1 1.607 * [taylor]: Taking taylor expansion of phi2 in phi1 1.607 * [backup-simplify]: Simplify phi2 into phi2 1.607 * [backup-simplify]: Simplify (* 0 phi2) into 0 1.609 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 1.610 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.610 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in phi1 1.610 * [taylor]: Taking taylor expansion of 2 in phi1 1.610 * [backup-simplify]: Simplify 2 into 2 1.610 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in phi1 1.610 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1.610 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.610 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.610 * [taylor]: Taking taylor expansion of -1/2 in phi1 1.610 * [backup-simplify]: Simplify -1/2 into -1/2 1.610 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.610 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.610 * [taylor]: Taking taylor expansion of phi1 in phi1 1.610 * [backup-simplify]: Simplify 0 into 0 1.610 * [backup-simplify]: Simplify 1 into 1 1.610 * [backup-simplify]: Simplify (/ 1 1) into 1 1.610 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.610 * [taylor]: Taking taylor expansion of phi2 in phi1 1.610 * [backup-simplify]: Simplify phi2 into phi2 1.610 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.611 * [backup-simplify]: Simplify (+ 1 0) into 1 1.611 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.611 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.611 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in phi1 1.611 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.611 * [backup-simplify]: Simplify lambda1 into lambda1 1.611 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.611 * [backup-simplify]: Simplify lambda2 into lambda2 1.611 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.611 * [backup-simplify]: Simplify (* lambda1 lambda2) into (* lambda2 lambda1) 1.612 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) 1.612 * [backup-simplify]: Simplify (+ 1 0) into 1 1.612 * [backup-simplify]: Simplify (+ 0 1) into 1 1.613 * [backup-simplify]: Simplify (+ 1 0) into 1 1.613 * [backup-simplify]: Simplify (sqrt 1) into 1 1.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.614 * [backup-simplify]: Simplify (+ 0 0) into 0 1.614 * [backup-simplify]: Simplify (+ 0 0) into 0 1.614 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 1.614 * [backup-simplify]: Simplify (+ (/ 2 phi2) 0) into (* 2 (/ 1 phi2)) 1.614 * [backup-simplify]: Simplify (- (* 2 (/ 1 phi2))) into (- (* 2 (/ 1 phi2))) 1.614 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 1.615 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 phi2))) (* 2 (sqrt 1))) into (/ -1 phi2) 1.615 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in lambda2 1.615 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in lambda2 1.615 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in lambda2 1.615 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 1.615 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 1.615 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.615 * [backup-simplify]: Simplify phi2 into phi2 1.615 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.615 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.615 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in lambda2 1.615 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 1.615 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 1.615 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.615 * [backup-simplify]: Simplify phi1 into phi1 1.615 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 1.615 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1.615 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in lambda2 1.615 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda2 1.615 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1.615 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.615 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.615 * [taylor]: Taking taylor expansion of -1/2 in lambda2 1.615 * [backup-simplify]: Simplify -1/2 into -1/2 1.615 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.615 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.615 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.615 * [backup-simplify]: Simplify phi1 into phi1 1.615 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.615 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.616 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.616 * [backup-simplify]: Simplify phi2 into phi2 1.616 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.616 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.616 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.616 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.616 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.616 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.616 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.616 * [backup-simplify]: Simplify (- 0) into 0 1.616 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.616 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda2 1.616 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.616 * [backup-simplify]: Simplify lambda1 into lambda1 1.617 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.617 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 1.617 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 1.617 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda2 1.617 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1.617 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.617 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.617 * [taylor]: Taking taylor expansion of -1/2 in lambda2 1.617 * [backup-simplify]: Simplify -1/2 into -1/2 1.617 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.617 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.617 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.617 * [backup-simplify]: Simplify phi1 into phi1 1.617 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.617 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.617 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.617 * [backup-simplify]: Simplify phi2 into phi2 1.617 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.617 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.617 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.617 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.617 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.617 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.617 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.618 * [backup-simplify]: Simplify (- 0) into 0 1.618 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.618 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 1.618 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.618 * [backup-simplify]: Simplify 0 into 0 1.618 * [backup-simplify]: Simplify 1 into 1 1.618 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.618 * [backup-simplify]: Simplify (* 1 1) into 1 1.618 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.618 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in lambda2 1.618 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 1.618 * [taylor]: Taking taylor expansion of 2 in lambda2 1.619 * [backup-simplify]: Simplify 2 into 2 1.619 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 1.619 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 1.619 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.619 * [backup-simplify]: Simplify phi1 into phi1 1.619 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.619 * [backup-simplify]: Simplify phi2 into phi2 1.619 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 1.619 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 1.619 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in lambda2 1.619 * [taylor]: Taking taylor expansion of 2 in lambda2 1.619 * [backup-simplify]: Simplify 2 into 2 1.619 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in lambda2 1.619 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1.619 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.619 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.619 * [taylor]: Taking taylor expansion of -1/2 in lambda2 1.619 * [backup-simplify]: Simplify -1/2 into -1/2 1.619 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.619 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.619 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.619 * [backup-simplify]: Simplify phi1 into phi1 1.619 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.619 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.619 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.619 * [backup-simplify]: Simplify phi2 into phi2 1.619 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.619 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.619 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.619 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.619 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.619 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.619 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.620 * [backup-simplify]: Simplify (- 0) into 0 1.620 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.620 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in lambda2 1.620 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.620 * [backup-simplify]: Simplify lambda1 into lambda1 1.620 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.620 * [backup-simplify]: Simplify 0 into 0 1.620 * [backup-simplify]: Simplify 1 into 1 1.620 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.620 * [backup-simplify]: Simplify (* lambda1 0) into 0 1.620 * [backup-simplify]: Simplify (+ (* lambda1 1) (* 0 0)) into lambda1 1.620 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) 1.621 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.621 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.621 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.621 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.621 * [backup-simplify]: Simplify (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.621 * [backup-simplify]: Simplify (+ 0) into 0 1.622 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1.622 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.622 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.622 * [backup-simplify]: Simplify (+ 0 0) into 0 1.622 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1.623 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.623 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1.623 * [backup-simplify]: Simplify (- 0) into 0 1.624 * [backup-simplify]: Simplify (+ 0 0) into 0 1.624 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.624 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.625 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 1.625 * [backup-simplify]: Simplify (+ 0 0) into 0 1.625 * [backup-simplify]: Simplify (+ 0 0) into 0 1.626 * [backup-simplify]: Simplify (+ 0 0) into 0 1.626 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) 1.626 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) 1.626 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) 1.626 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) 1.627 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) (* 2 (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1)) 1.627 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in lambda1 1.627 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in lambda1 1.627 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in lambda1 1.627 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 1.627 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 1.627 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.627 * [backup-simplify]: Simplify phi2 into phi2 1.627 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.627 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.627 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in lambda1 1.627 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 1.627 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 1.627 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.627 * [backup-simplify]: Simplify phi1 into phi1 1.627 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 1.627 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1.627 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in lambda1 1.627 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 1.627 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1.627 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1.627 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1.627 * [taylor]: Taking taylor expansion of -1/2 in lambda1 1.627 * [backup-simplify]: Simplify -1/2 into -1/2 1.627 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1.627 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.627 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.627 * [backup-simplify]: Simplify phi1 into phi1 1.627 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.627 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.627 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.627 * [backup-simplify]: Simplify phi2 into phi2 1.627 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.627 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.627 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.627 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.628 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.628 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.628 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.628 * [backup-simplify]: Simplify (- 0) into 0 1.628 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.628 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 1.628 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.628 * [backup-simplify]: Simplify 0 into 0 1.628 * [backup-simplify]: Simplify 1 into 1 1.628 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.629 * [backup-simplify]: Simplify (* 1 1) into 1 1.629 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.629 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 1.629 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1.629 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1.629 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1.629 * [taylor]: Taking taylor expansion of -1/2 in lambda1 1.629 * [backup-simplify]: Simplify -1/2 into -1/2 1.629 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1.629 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.629 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.629 * [backup-simplify]: Simplify phi1 into phi1 1.629 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.629 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.629 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.629 * [backup-simplify]: Simplify phi2 into phi2 1.629 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.629 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.629 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.629 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.629 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.629 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.629 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.630 * [backup-simplify]: Simplify (- 0) into 0 1.630 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.630 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 1.630 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.630 * [backup-simplify]: Simplify lambda2 into lambda2 1.630 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.630 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1.630 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1.630 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in lambda1 1.630 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 1.630 * [taylor]: Taking taylor expansion of 2 in lambda1 1.630 * [backup-simplify]: Simplify 2 into 2 1.630 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 1.630 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 1.630 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.630 * [backup-simplify]: Simplify phi1 into phi1 1.630 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.630 * [backup-simplify]: Simplify phi2 into phi2 1.630 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 1.630 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 1.630 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in lambda1 1.630 * [taylor]: Taking taylor expansion of 2 in lambda1 1.630 * [backup-simplify]: Simplify 2 into 2 1.630 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in lambda1 1.631 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1.631 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1.631 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1.631 * [taylor]: Taking taylor expansion of -1/2 in lambda1 1.631 * [backup-simplify]: Simplify -1/2 into -1/2 1.631 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1.631 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.631 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.631 * [backup-simplify]: Simplify phi1 into phi1 1.631 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.631 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.631 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.631 * [backup-simplify]: Simplify phi2 into phi2 1.631 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.631 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.631 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.631 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.631 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.631 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.631 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.631 * [backup-simplify]: Simplify (- 0) into 0 1.632 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.632 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in lambda1 1.632 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.632 * [backup-simplify]: Simplify 0 into 0 1.632 * [backup-simplify]: Simplify 1 into 1 1.632 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.632 * [backup-simplify]: Simplify lambda2 into lambda2 1.632 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.632 * [backup-simplify]: Simplify (* 0 lambda2) into 0 1.632 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda2)) into lambda2 1.632 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 1.632 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.633 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.633 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.633 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.633 * [backup-simplify]: Simplify (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.633 * [backup-simplify]: Simplify (+ 0) into 0 1.634 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1.634 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.634 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.634 * [backup-simplify]: Simplify (+ 0 0) into 0 1.634 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1.635 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.635 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1.635 * [backup-simplify]: Simplify (- 0) into 0 1.636 * [backup-simplify]: Simplify (+ 0 0) into 0 1.636 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.636 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.637 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 1.637 * [backup-simplify]: Simplify (+ 0 0) into 0 1.637 * [backup-simplify]: Simplify (+ 0 0) into 0 1.638 * [backup-simplify]: Simplify (+ 0 0) into 0 1.638 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 1.638 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 1.638 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1.638 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1.639 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 1.639 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in lambda1 1.639 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in lambda1 1.639 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in lambda1 1.639 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 1.639 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 1.639 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.639 * [backup-simplify]: Simplify phi2 into phi2 1.639 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.639 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.639 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in lambda1 1.639 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 1.639 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 1.639 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.639 * [backup-simplify]: Simplify phi1 into phi1 1.639 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 1.639 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1.639 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in lambda1 1.639 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 1.639 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1.639 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1.639 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1.639 * [taylor]: Taking taylor expansion of -1/2 in lambda1 1.639 * [backup-simplify]: Simplify -1/2 into -1/2 1.639 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1.639 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.639 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.639 * [backup-simplify]: Simplify phi1 into phi1 1.639 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.639 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.639 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.639 * [backup-simplify]: Simplify phi2 into phi2 1.639 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.639 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.640 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.640 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.640 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.640 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.640 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.640 * [backup-simplify]: Simplify (- 0) into 0 1.640 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.640 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 1.640 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.640 * [backup-simplify]: Simplify 0 into 0 1.640 * [backup-simplify]: Simplify 1 into 1 1.641 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.641 * [backup-simplify]: Simplify (* 1 1) into 1 1.641 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.641 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 1.641 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1.641 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1.641 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1.641 * [taylor]: Taking taylor expansion of -1/2 in lambda1 1.641 * [backup-simplify]: Simplify -1/2 into -1/2 1.641 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1.641 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.641 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.641 * [backup-simplify]: Simplify phi1 into phi1 1.641 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.641 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.641 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.641 * [backup-simplify]: Simplify phi2 into phi2 1.641 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.641 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.641 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.641 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.641 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.642 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.642 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.642 * [backup-simplify]: Simplify (- 0) into 0 1.642 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.642 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 1.642 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.642 * [backup-simplify]: Simplify lambda2 into lambda2 1.642 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.642 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1.642 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1.642 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in lambda1 1.643 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 1.643 * [taylor]: Taking taylor expansion of 2 in lambda1 1.643 * [backup-simplify]: Simplify 2 into 2 1.643 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 1.643 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 1.643 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.643 * [backup-simplify]: Simplify phi1 into phi1 1.643 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.643 * [backup-simplify]: Simplify phi2 into phi2 1.643 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 1.643 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 1.643 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in lambda1 1.643 * [taylor]: Taking taylor expansion of 2 in lambda1 1.643 * [backup-simplify]: Simplify 2 into 2 1.643 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in lambda1 1.643 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1.643 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1.643 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1.643 * [taylor]: Taking taylor expansion of -1/2 in lambda1 1.643 * [backup-simplify]: Simplify -1/2 into -1/2 1.643 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1.643 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.643 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.643 * [backup-simplify]: Simplify phi1 into phi1 1.643 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.643 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.643 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.643 * [backup-simplify]: Simplify phi2 into phi2 1.643 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.643 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.643 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.643 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.643 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.643 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.643 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.644 * [backup-simplify]: Simplify (- 0) into 0 1.644 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.644 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in lambda1 1.644 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify 1 into 1 1.644 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.644 * [backup-simplify]: Simplify lambda2 into lambda2 1.644 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.644 * [backup-simplify]: Simplify (* 0 lambda2) into 0 1.645 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda2)) into lambda2 1.645 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 1.645 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.645 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.646 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.646 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.646 * [backup-simplify]: Simplify (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.647 * [backup-simplify]: Simplify (+ 0) into 0 1.647 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1.647 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.647 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.648 * [backup-simplify]: Simplify (+ 0 0) into 0 1.648 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1.649 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.650 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1.650 * [backup-simplify]: Simplify (- 0) into 0 1.651 * [backup-simplify]: Simplify (+ 0 0) into 0 1.651 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 1.654 * [backup-simplify]: Simplify (+ 0 0) into 0 1.654 * [backup-simplify]: Simplify (+ 0 0) into 0 1.654 * [backup-simplify]: Simplify (+ 0 0) into 0 1.655 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 1.655 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 1.655 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1.656 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1.656 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 1.656 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.656 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.656 * [taylor]: Taking taylor expansion of -1/2 in lambda2 1.657 * [backup-simplify]: Simplify -1/2 into -1/2 1.657 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.657 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.657 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.657 * [backup-simplify]: Simplify phi1 into phi1 1.657 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.657 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.657 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.657 * [backup-simplify]: Simplify phi2 into phi2 1.657 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.657 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.657 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.657 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.657 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.657 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) in lambda2 1.657 * [taylor]: Taking taylor expansion of -1 in lambda2 1.657 * [backup-simplify]: Simplify -1 into -1 1.657 * [taylor]: Taking taylor expansion of (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2) in lambda2 1.658 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.658 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.658 * [taylor]: Taking taylor expansion of -1/2 in lambda2 1.658 * [backup-simplify]: Simplify -1/2 into -1/2 1.658 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.658 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.658 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.658 * [backup-simplify]: Simplify phi1 into phi1 1.658 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.658 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.658 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.658 * [backup-simplify]: Simplify phi2 into phi2 1.658 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.658 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.658 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.658 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.658 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.659 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.659 * [backup-simplify]: Simplify 0 into 0 1.659 * [backup-simplify]: Simplify 1 into 1 1.659 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.659 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.659 * [backup-simplify]: Simplify (- 0) into 0 1.660 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.660 * [backup-simplify]: Simplify (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.660 * [backup-simplify]: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.660 * [taylor]: Taking taylor expansion of (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 1.660 * [taylor]: Taking taylor expansion of -1 in phi1 1.660 * [backup-simplify]: Simplify -1 into -1 1.660 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.660 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.660 * [taylor]: Taking taylor expansion of -1/2 in phi1 1.660 * [backup-simplify]: Simplify -1/2 into -1/2 1.660 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.660 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.660 * [taylor]: Taking taylor expansion of phi1 in phi1 1.660 * [backup-simplify]: Simplify 0 into 0 1.660 * [backup-simplify]: Simplify 1 into 1 1.661 * [backup-simplify]: Simplify (/ 1 1) into 1 1.661 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.661 * [taylor]: Taking taylor expansion of phi2 in phi1 1.661 * [backup-simplify]: Simplify phi2 into phi2 1.661 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.661 * [backup-simplify]: Simplify (+ 1 0) into 1 1.662 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.662 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.662 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.662 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.662 * [backup-simplify]: Simplify (- 0) into 0 1.663 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.663 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.663 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.663 * [taylor]: Taking taylor expansion of -1/2 in phi1 1.663 * [backup-simplify]: Simplify -1/2 into -1/2 1.663 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.663 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.663 * [taylor]: Taking taylor expansion of phi1 in phi1 1.663 * [backup-simplify]: Simplify 0 into 0 1.663 * [backup-simplify]: Simplify 1 into 1 1.663 * [backup-simplify]: Simplify (/ 1 1) into 1 1.663 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.663 * [taylor]: Taking taylor expansion of phi2 in phi1 1.663 * [backup-simplify]: Simplify phi2 into phi2 1.663 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.664 * [backup-simplify]: Simplify (+ 1 0) into 1 1.664 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.664 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.665 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.666 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1.666 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.666 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.666 * [backup-simplify]: Simplify (+ 0 0) into 0 1.667 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1.668 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.669 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1.669 * [backup-simplify]: Simplify (- 0) into 0 1.670 * [backup-simplify]: Simplify (+ 0 0) into 0 1.670 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.673 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.673 * [backup-simplify]: Simplify (+ 0 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1.674 * [backup-simplify]: Simplify (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) into (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) 1.674 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) into (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) 1.674 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 1.675 * [backup-simplify]: Simplify (+ 0) into 0 1.675 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1.675 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.675 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.676 * [backup-simplify]: Simplify (+ 0 0) into 0 1.676 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1.677 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.678 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1.678 * [backup-simplify]: Simplify (- 0) into 0 1.678 * [backup-simplify]: Simplify (+ 0 0) into 0 1.679 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.679 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 lambda2))) into 0 1.680 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)))) into 0 1.680 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into 0 1.681 * [backup-simplify]: Simplify (+ (/ 2 (* phi1 phi2)) 0) into (* 2 (/ 1 (* phi1 phi2))) 1.681 * [backup-simplify]: Simplify (- (* 2 (/ 1 (* phi1 phi2)))) into (- (* 2 (/ 1 (* phi1 phi2)))) 1.681 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 1.683 * [backup-simplify]: Simplify (/ (- (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (* 2 (/ 1 (* phi1 phi2)))) (pow (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 2) (+)) (* 2 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1.683 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in lambda2 1.683 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.683 * [backup-simplify]: Simplify 1/2 into 1/2 1.683 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in lambda2 1.683 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in lambda2 1.683 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in lambda2 1.683 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 1.683 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 1.683 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.683 * [backup-simplify]: Simplify phi2 into phi2 1.684 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.684 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.684 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 1.684 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 1.684 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.684 * [backup-simplify]: Simplify phi1 into phi1 1.684 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 1.684 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1.684 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 1.684 * [taylor]: Taking taylor expansion of 2 in lambda2 1.684 * [backup-simplify]: Simplify 2 into 2 1.684 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 1.684 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 1.684 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.684 * [backup-simplify]: Simplify phi1 into phi1 1.684 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.684 * [backup-simplify]: Simplify phi2 into phi2 1.684 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 1.684 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 1.684 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.684 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.684 * [taylor]: Taking taylor expansion of -1/2 in lambda2 1.684 * [backup-simplify]: Simplify -1/2 into -1/2 1.684 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.684 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.684 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.684 * [backup-simplify]: Simplify phi1 into phi1 1.685 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.685 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.685 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.685 * [backup-simplify]: Simplify phi2 into phi2 1.685 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.685 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.685 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.685 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.685 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.685 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 1.685 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 1.686 * [backup-simplify]: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) 1.686 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) 1.686 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.686 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.687 * [backup-simplify]: Simplify (- 0) into 0 1.687 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.687 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.688 * [backup-simplify]: Simplify (+ 0) into 0 1.688 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1.688 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.689 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.689 * [backup-simplify]: Simplify (+ 0 0) into 0 1.689 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1.690 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.690 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1.690 * [backup-simplify]: Simplify (- 0) into 0 1.690 * [backup-simplify]: Simplify (+ 0 0) into 0 1.691 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (/ 0 1)))) into 0 1.691 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.691 * [taylor]: Taking taylor expansion of 0 in phi1 1.691 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify (+ 0) into 0 1.692 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1.692 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.692 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.692 * [backup-simplify]: Simplify (+ 0 0) into 0 1.693 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1.693 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.693 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1.694 * [backup-simplify]: Simplify (- 0) into 0 1.694 * [backup-simplify]: Simplify (+ 0 0) into 0 1.694 * [taylor]: Taking taylor expansion of 0 in phi1 1.694 * [backup-simplify]: Simplify 0 into 0 1.694 * [backup-simplify]: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.694 * [taylor]: Taking taylor expansion of (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi2 1.694 * [taylor]: Taking taylor expansion of -1 in phi2 1.694 * [backup-simplify]: Simplify -1 into -1 1.694 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.694 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.694 * [taylor]: Taking taylor expansion of -1/2 in phi2 1.694 * [backup-simplify]: Simplify -1/2 into -1/2 1.694 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.694 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.694 * [taylor]: Taking taylor expansion of phi1 in phi2 1.694 * [backup-simplify]: Simplify phi1 into phi1 1.694 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.694 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.694 * [taylor]: Taking taylor expansion of phi2 in phi2 1.694 * [backup-simplify]: Simplify 0 into 0 1.694 * [backup-simplify]: Simplify 1 into 1 1.694 * [backup-simplify]: Simplify (/ 1 1) into 1 1.695 * [backup-simplify]: Simplify (+ 0 1) into 1 1.695 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.695 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.695 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.695 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.695 * [taylor]: Taking taylor expansion of -1/2 in phi2 1.695 * [backup-simplify]: Simplify -1/2 into -1/2 1.695 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.695 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.695 * [taylor]: Taking taylor expansion of phi1 in phi2 1.695 * [backup-simplify]: Simplify phi1 into phi1 1.695 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.695 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.695 * [taylor]: Taking taylor expansion of phi2 in phi2 1.695 * [backup-simplify]: Simplify 0 into 0 1.695 * [backup-simplify]: Simplify 1 into 1 1.696 * [backup-simplify]: Simplify (/ 1 1) into 1 1.696 * [backup-simplify]: Simplify (+ 0 1) into 1 1.696 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.696 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.696 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1.696 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))))) into 0 1.697 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 1.697 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))))) into 0 1.697 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.698 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.698 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.698 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.698 * [backup-simplify]: Simplify (+ 0 0) into 0 1.699 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.700 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.700 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.700 * [backup-simplify]: Simplify (- 0) into 0 1.701 * [backup-simplify]: Simplify (+ 0 0) into 0 1.701 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into 0 1.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.703 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.703 * [backup-simplify]: Simplify (+ 0) into 0 1.704 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1.704 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.704 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.704 * [backup-simplify]: Simplify (+ 0 0) into 0 1.704 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1.705 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.705 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1.705 * [backup-simplify]: Simplify (- 0) into 0 1.706 * [backup-simplify]: Simplify (+ 0 0) into 0 1.706 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.706 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 1.706 * [backup-simplify]: Simplify (- (/ 0 (pow lambda2 2)) (+ (* (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (/ 0 (pow lambda2 2))))) into 0 1.706 * [backup-simplify]: Simplify (+ 0 0) into 0 1.707 * [backup-simplify]: Simplify (+ 0 0) into 0 1.707 * [backup-simplify]: Simplify (+ 0 0) into 0 1.707 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 1.707 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))))) into 0 1.707 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (* phi1 phi2)))) into 0 1.708 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.708 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1.708 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.708 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.709 * [backup-simplify]: Simplify (+ 0 0) into 0 1.709 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1.710 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.710 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1.710 * [backup-simplify]: Simplify (- 0) into 0 1.711 * [backup-simplify]: Simplify (+ 0 0) into 0 1.711 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1.712 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 lambda2)))) into 0 1.712 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 1.712 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into 0 1.713 * [backup-simplify]: Simplify (+ 0 0) into 0 1.713 * [backup-simplify]: Simplify (- 0) into 0 1.713 * [backup-simplify]: Simplify (+ 0 0) into 0 1.714 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))))) (* 2 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1.714 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in lambda2 1.714 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.714 * [backup-simplify]: Simplify 1/2 into 1/2 1.714 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in lambda2 1.714 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) in lambda2 1.714 * [taylor]: Taking taylor expansion of (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) in lambda2 1.714 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (pow phi2 2))) in lambda2 1.714 * [taylor]: Taking taylor expansion of (* lambda2 (pow phi2 2)) in lambda2 1.714 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.714 * [backup-simplify]: Simplify 0 into 0 1.714 * [backup-simplify]: Simplify 1 into 1 1.714 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 1.714 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.714 * [backup-simplify]: Simplify phi2 into phi2 1.714 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.714 * [backup-simplify]: Simplify (* 0 (pow phi2 2)) into 0 1.714 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1.714 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow phi2 2))) into (pow phi2 2) 1.715 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.715 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (pow phi1 2))) in lambda2 1.715 * [taylor]: Taking taylor expansion of (* lambda2 (pow phi1 2)) in lambda2 1.715 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.715 * [backup-simplify]: Simplify 0 into 0 1.715 * [backup-simplify]: Simplify 1 into 1 1.715 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 1.715 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.715 * [backup-simplify]: Simplify phi1 into phi1 1.715 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 1.715 * [backup-simplify]: Simplify (* 0 (pow phi1 2)) into 0 1.715 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 1.715 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow phi1 2))) into (pow phi1 2) 1.715 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1.715 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* lambda2 (* phi1 phi2)))) in lambda2 1.715 * [taylor]: Taking taylor expansion of 2 in lambda2 1.715 * [backup-simplify]: Simplify 2 into 2 1.715 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (* phi1 phi2))) in lambda2 1.715 * [taylor]: Taking taylor expansion of (* lambda2 (* phi1 phi2)) in lambda2 1.715 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.715 * [backup-simplify]: Simplify 0 into 0 1.715 * [backup-simplify]: Simplify 1 into 1 1.715 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 1.715 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.715 * [backup-simplify]: Simplify phi1 into phi1 1.715 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.715 * [backup-simplify]: Simplify phi2 into phi2 1.715 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 1.715 * [backup-simplify]: Simplify (* 0 (* phi1 phi2)) into 0 1.715 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 1.718 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* phi1 phi2))) into (* phi1 phi2) 1.718 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 1.718 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.718 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.718 * [taylor]: Taking taylor expansion of -1/2 in lambda2 1.718 * [backup-simplify]: Simplify -1/2 into -1/2 1.718 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.718 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.718 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.718 * [backup-simplify]: Simplify phi1 into phi1 1.718 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.718 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.718 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.718 * [backup-simplify]: Simplify phi2 into phi2 1.718 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.718 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.718 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.718 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.718 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.718 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 1.718 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 1.718 * [backup-simplify]: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) 1.719 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) 1.719 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.719 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.719 * [backup-simplify]: Simplify (- 0) into 0 1.720 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.720 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.720 * [backup-simplify]: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1.720 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in phi1 1.720 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.720 * [backup-simplify]: Simplify 1/2 into 1/2 1.720 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 1.720 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1 1.720 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in phi1 1.720 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 1.720 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 1.720 * [taylor]: Taking taylor expansion of phi2 in phi1 1.720 * [backup-simplify]: Simplify phi2 into phi2 1.720 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.720 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.720 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 1.720 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 1.720 * [taylor]: Taking taylor expansion of phi1 in phi1 1.720 * [backup-simplify]: Simplify 0 into 0 1.720 * [backup-simplify]: Simplify 1 into 1 1.721 * [backup-simplify]: Simplify (* 1 1) into 1 1.721 * [backup-simplify]: Simplify (/ 1 1) into 1 1.721 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 1.721 * [taylor]: Taking taylor expansion of 2 in phi1 1.721 * [backup-simplify]: Simplify 2 into 2 1.721 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 1.721 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 1.721 * [taylor]: Taking taylor expansion of phi1 in phi1 1.721 * [backup-simplify]: Simplify 0 into 0 1.721 * [backup-simplify]: Simplify 1 into 1 1.721 * [taylor]: Taking taylor expansion of phi2 in phi1 1.721 * [backup-simplify]: Simplify phi2 into phi2 1.721 * [backup-simplify]: Simplify (* 0 phi2) into 0 1.722 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 1.722 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.722 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.722 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.722 * [taylor]: Taking taylor expansion of -1/2 in phi1 1.722 * [backup-simplify]: Simplify -1/2 into -1/2 1.722 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.722 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.722 * [taylor]: Taking taylor expansion of phi1 in phi1 1.722 * [backup-simplify]: Simplify 0 into 0 1.722 * [backup-simplify]: Simplify 1 into 1 1.723 * [backup-simplify]: Simplify (/ 1 1) into 1 1.723 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.723 * [taylor]: Taking taylor expansion of phi2 in phi1 1.723 * [backup-simplify]: Simplify phi2 into phi2 1.723 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.723 * [backup-simplify]: Simplify (+ 1 0) into 1 1.724 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.724 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.724 * [backup-simplify]: Simplify (+ 0 1) into 1 1.725 * [backup-simplify]: Simplify (+ 1 0) into 1 1.725 * [backup-simplify]: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.726 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.727 * [backup-simplify]: Simplify (+ 0 0) into 0 1.727 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 1.727 * [backup-simplify]: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2))) 1.727 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 1.728 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (+ (* (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)))) 1.728 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))) (* 0 (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) 1.728 * [taylor]: Taking taylor expansion of (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) in phi2 1.728 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)) in phi2 1.728 * [taylor]: Taking taylor expansion of (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2) in phi2 1.728 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.728 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.728 * [taylor]: Taking taylor expansion of -1/2 in phi2 1.728 * [backup-simplify]: Simplify -1/2 into -1/2 1.728 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.728 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.728 * [taylor]: Taking taylor expansion of phi1 in phi2 1.728 * [backup-simplify]: Simplify phi1 into phi1 1.728 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.728 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.728 * [taylor]: Taking taylor expansion of phi2 in phi2 1.728 * [backup-simplify]: Simplify 0 into 0 1.728 * [backup-simplify]: Simplify 1 into 1 1.729 * [backup-simplify]: Simplify (/ 1 1) into 1 1.729 * [backup-simplify]: Simplify (+ 0 1) into 1 1.730 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.730 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.730 * [taylor]: Taking taylor expansion of phi2 in phi2 1.730 * [backup-simplify]: Simplify 0 into 0 1.730 * [backup-simplify]: Simplify 1 into 1 1.730 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.731 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) (* 0 0)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.731 * [backup-simplify]: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.731 * [backup-simplify]: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1.732 * [backup-simplify]: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1.732 * [backup-simplify]: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1.732 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in phi1 1.732 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.732 * [backup-simplify]: Simplify 1/2 into 1/2 1.732 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 1.732 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1 1.732 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in phi1 1.732 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 1.732 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 1.732 * [taylor]: Taking taylor expansion of phi2 in phi1 1.732 * [backup-simplify]: Simplify phi2 into phi2 1.732 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.733 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.733 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 1.733 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 1.733 * [taylor]: Taking taylor expansion of phi1 in phi1 1.733 * [backup-simplify]: Simplify 0 into 0 1.733 * [backup-simplify]: Simplify 1 into 1 1.733 * [backup-simplify]: Simplify (* 1 1) into 1 1.734 * [backup-simplify]: Simplify (/ 1 1) into 1 1.734 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 1.734 * [taylor]: Taking taylor expansion of 2 in phi1 1.734 * [backup-simplify]: Simplify 2 into 2 1.734 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 1.734 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 1.734 * [taylor]: Taking taylor expansion of phi1 in phi1 1.734 * [backup-simplify]: Simplify 0 into 0 1.734 * [backup-simplify]: Simplify 1 into 1 1.734 * [taylor]: Taking taylor expansion of phi2 in phi1 1.734 * [backup-simplify]: Simplify phi2 into phi2 1.734 * [backup-simplify]: Simplify (* 0 phi2) into 0 1.734 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 1.734 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.734 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.734 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.735 * [taylor]: Taking taylor expansion of -1/2 in phi1 1.735 * [backup-simplify]: Simplify -1/2 into -1/2 1.735 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.735 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.735 * [taylor]: Taking taylor expansion of phi1 in phi1 1.735 * [backup-simplify]: Simplify 0 into 0 1.735 * [backup-simplify]: Simplify 1 into 1 1.735 * [backup-simplify]: Simplify (/ 1 1) into 1 1.735 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.735 * [taylor]: Taking taylor expansion of phi2 in phi1 1.735 * [backup-simplify]: Simplify phi2 into phi2 1.735 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.736 * [backup-simplify]: Simplify (+ 1 0) into 1 1.736 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.736 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.737 * [backup-simplify]: Simplify (+ 0 1) into 1 1.737 * [backup-simplify]: Simplify (+ 1 0) into 1 1.737 * [backup-simplify]: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.739 * [backup-simplify]: Simplify (+ 0 0) into 0 1.739 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 1.739 * [backup-simplify]: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2))) 1.739 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 1.740 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (+ (* (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)))) 1.740 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))) (* 0 (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) 1.740 * [taylor]: Taking taylor expansion of (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) in phi2 1.740 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)) in phi2 1.741 * [taylor]: Taking taylor expansion of (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2) in phi2 1.741 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.741 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.741 * [taylor]: Taking taylor expansion of -1/2 in phi2 1.741 * [backup-simplify]: Simplify -1/2 into -1/2 1.741 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.741 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.741 * [taylor]: Taking taylor expansion of phi1 in phi2 1.741 * [backup-simplify]: Simplify phi1 into phi1 1.741 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.741 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.741 * [taylor]: Taking taylor expansion of phi2 in phi2 1.741 * [backup-simplify]: Simplify 0 into 0 1.741 * [backup-simplify]: Simplify 1 into 1 1.741 * [backup-simplify]: Simplify (/ 1 1) into 1 1.742 * [backup-simplify]: Simplify (+ 0 1) into 1 1.742 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.742 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.742 * [taylor]: Taking taylor expansion of phi2 in phi2 1.742 * [backup-simplify]: Simplify 0 into 0 1.743 * [backup-simplify]: Simplify 1 into 1 1.743 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.743 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) (* 0 0)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.743 * [backup-simplify]: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.744 * [backup-simplify]: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1.744 * [backup-simplify]: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1.745 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.745 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1.745 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.745 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.746 * [backup-simplify]: Simplify (+ 0 0) into 0 1.746 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1.747 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.747 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1.747 * [backup-simplify]: Simplify (- 0) into 0 1.747 * [backup-simplify]: Simplify (+ 0 0) into 0 1.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.749 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1.749 * [taylor]: Taking taylor expansion of 0 in phi1 1.749 * [backup-simplify]: Simplify 0 into 0 1.749 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.750 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1.750 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.750 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.750 * [backup-simplify]: Simplify (+ 0 0) into 0 1.751 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1.751 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.752 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1.752 * [backup-simplify]: Simplify (- 0) into 0 1.752 * [backup-simplify]: Simplify (+ 0 0) into 0 1.752 * [taylor]: Taking taylor expansion of 0 in phi1 1.752 * [backup-simplify]: Simplify 0 into 0 1.752 * [taylor]: Taking taylor expansion of 0 in phi2 1.752 * [backup-simplify]: Simplify 0 into 0 1.752 * [taylor]: Taking taylor expansion of 0 in phi2 1.752 * [backup-simplify]: Simplify 0 into 0 1.753 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.753 * [taylor]: Taking taylor expansion of 0 in phi2 1.753 * [backup-simplify]: Simplify 0 into 0 1.753 * [taylor]: Taking taylor expansion of 0 in phi2 1.753 * [backup-simplify]: Simplify 0 into 0 1.753 * [backup-simplify]: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.753 * [backup-simplify]: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.754 * [backup-simplify]: Simplify (+ (* (* -1 (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2))))))) (* 1 (* 1 (* (/ 1 (/ 1 (- lambda2))) 1)))) (+ (* (- (/ 1 (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))))) (* (/ 1 (/ 1 (- phi2))) (* (/ 1 (/ 1 (- phi1))) (* 1 (/ 1 (- lambda1)))))) (* (- (/ 1 (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))))) (* (/ 1 (/ 1 (- phi2))) (* (/ 1 (/ 1 (- phi1))) (* (/ 1 (/ 1 (- lambda2))) (pow (/ 1 (- lambda1)) 2))))))) into (+ (/ (* lambda2 (* phi1 phi2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2))))) (+ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) (/ (* phi1 phi2) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))))) 1.754 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2 2) 1.754 * [backup-simplify]: Simplify (cos (/ (+ phi1 phi2) 2)) into (cos (* 1/2 (+ phi1 phi2))) 1.754 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in (phi1 phi2) around 0 1.754 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 1.754 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 1.754 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.754 * [backup-simplify]: Simplify 1/2 into 1/2 1.754 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 1.754 * [taylor]: Taking taylor expansion of phi1 in phi2 1.754 * [backup-simplify]: Simplify phi1 into phi1 1.754 * [taylor]: Taking taylor expansion of phi2 in phi2 1.754 * [backup-simplify]: Simplify 0 into 0 1.754 * [backup-simplify]: Simplify 1 into 1 1.754 * [backup-simplify]: Simplify (+ phi1 0) into phi1 1.754 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 1.754 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 1.754 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 1.754 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1.754 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1.754 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.754 * [backup-simplify]: Simplify 1/2 into 1/2 1.754 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 1.754 * [taylor]: Taking taylor expansion of phi1 in phi1 1.754 * [backup-simplify]: Simplify 0 into 0 1.754 * [backup-simplify]: Simplify 1 into 1 1.754 * [taylor]: Taking taylor expansion of phi2 in phi1 1.754 * [backup-simplify]: Simplify phi2 into phi2 1.755 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 1.755 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1.755 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1.755 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1.755 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1.755 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1.755 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.755 * [backup-simplify]: Simplify 1/2 into 1/2 1.755 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 1.755 * [taylor]: Taking taylor expansion of phi1 in phi1 1.755 * [backup-simplify]: Simplify 0 into 0 1.755 * [backup-simplify]: Simplify 1 into 1 1.755 * [taylor]: Taking taylor expansion of phi2 in phi1 1.755 * [backup-simplify]: Simplify phi2 into phi2 1.755 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 1.755 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1.755 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1.755 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1.755 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1.755 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1.755 * [backup-simplify]: Simplify (- 0) into 0 1.755 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1.756 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1.756 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 1.756 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.756 * [backup-simplify]: Simplify 1/2 into 1/2 1.756 * [taylor]: Taking taylor expansion of phi2 in phi2 1.756 * [backup-simplify]: Simplify 0 into 0 1.756 * [backup-simplify]: Simplify 1 into 1 1.756 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.756 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.756 * [backup-simplify]: Simplify 1 into 1 1.757 * [backup-simplify]: Simplify (+ 0) into 0 1.757 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 1.757 * [backup-simplify]: Simplify (+ 1 0) into 1 1.758 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 1.758 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 1.758 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 1.758 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 1.758 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 1.758 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (* 1/2 phi2)))) in phi2 1.758 * [taylor]: Taking taylor expansion of (* 1/2 (sin (* 1/2 phi2))) in phi2 1.759 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.759 * [backup-simplify]: Simplify 1/2 into 1/2 1.759 * [taylor]: Taking taylor expansion of (sin (* 1/2 phi2)) in phi2 1.759 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 1.759 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.759 * [backup-simplify]: Simplify 1/2 into 1/2 1.759 * [taylor]: Taking taylor expansion of phi2 in phi2 1.759 * [backup-simplify]: Simplify 0 into 0 1.759 * [backup-simplify]: Simplify 1 into 1 1.759 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.759 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.760 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.760 * [backup-simplify]: Simplify (- 0) into 0 1.760 * [backup-simplify]: Simplify 0 into 0 1.760 * [backup-simplify]: Simplify (+ 0) into 0 1.760 * [backup-simplify]: Simplify 0 into 0 1.761 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 1.761 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) -1/8) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (cos (* 1/2 phi2)))) 1.761 * [backup-simplify]: Simplify (+ 0 0) into 0 1.762 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 phi2))) into 0 1.762 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.763 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 0) (+ (* 0 1/2) (* 0 0))) into 0 1.763 * [backup-simplify]: Simplify (- 0) into 0 1.763 * [backup-simplify]: Simplify (+ (- (* 1/8 (cos (* 1/2 phi2)))) 0) into (- (* 1/8 (cos (* 1/2 phi2)))) 1.763 * [taylor]: Taking taylor expansion of (- (* 1/8 (cos (* 1/2 phi2)))) in phi2 1.763 * [taylor]: Taking taylor expansion of (* 1/8 (cos (* 1/2 phi2))) in phi2 1.763 * [taylor]: Taking taylor expansion of 1/8 in phi2 1.763 * [backup-simplify]: Simplify 1/8 into 1/8 1.763 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1.763 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 1.763 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.763 * [backup-simplify]: Simplify 1/2 into 1/2 1.763 * [taylor]: Taking taylor expansion of phi2 in phi2 1.763 * [backup-simplify]: Simplify 0 into 0 1.763 * [backup-simplify]: Simplify 1 into 1 1.764 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.764 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.764 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 1.765 * [backup-simplify]: Simplify (- 1/8) into -1/8 1.765 * [backup-simplify]: Simplify -1/8 into -1/8 1.765 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 1.766 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 0 0)) into 1/4 1.766 * [backup-simplify]: Simplify (- 1/4) into -1/4 1.766 * [backup-simplify]: Simplify -1/4 into -1/4 1.766 * [backup-simplify]: Simplify (+ (* -1/4 (* phi2 phi1)) (+ (* -1/8 (pow (* 1 phi1) 2)) 1)) into (- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi1 2)))) 1.766 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.766 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in (phi1 phi2) around 0 1.766 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.766 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.766 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.766 * [backup-simplify]: Simplify 1/2 into 1/2 1.766 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.766 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.766 * [taylor]: Taking taylor expansion of phi1 in phi2 1.766 * [backup-simplify]: Simplify phi1 into phi1 1.766 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.766 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.766 * [taylor]: Taking taylor expansion of phi2 in phi2 1.766 * [backup-simplify]: Simplify 0 into 0 1.766 * [backup-simplify]: Simplify 1 into 1 1.767 * [backup-simplify]: Simplify (/ 1 1) into 1 1.767 * [backup-simplify]: Simplify (+ 0 1) into 1 1.767 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.767 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.767 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.767 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.767 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.767 * [backup-simplify]: Simplify 1/2 into 1/2 1.768 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.768 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.768 * [taylor]: Taking taylor expansion of phi1 in phi1 1.768 * [backup-simplify]: Simplify 0 into 0 1.768 * [backup-simplify]: Simplify 1 into 1 1.768 * [backup-simplify]: Simplify (/ 1 1) into 1 1.768 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.768 * [taylor]: Taking taylor expansion of phi2 in phi1 1.768 * [backup-simplify]: Simplify phi2 into phi2 1.768 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.768 * [backup-simplify]: Simplify (+ 1 0) into 1 1.768 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.769 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.769 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.769 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.769 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.769 * [backup-simplify]: Simplify 1/2 into 1/2 1.769 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.769 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.769 * [taylor]: Taking taylor expansion of phi1 in phi1 1.769 * [backup-simplify]: Simplify 0 into 0 1.769 * [backup-simplify]: Simplify 1 into 1 1.769 * [backup-simplify]: Simplify (/ 1 1) into 1 1.769 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.769 * [taylor]: Taking taylor expansion of phi2 in phi1 1.769 * [backup-simplify]: Simplify phi2 into phi2 1.769 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.770 * [backup-simplify]: Simplify (+ 1 0) into 1 1.770 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.770 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.770 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.770 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.770 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.770 * [backup-simplify]: Simplify 1/2 into 1/2 1.770 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.770 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.770 * [taylor]: Taking taylor expansion of phi1 in phi2 1.770 * [backup-simplify]: Simplify phi1 into phi1 1.770 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.770 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.770 * [taylor]: Taking taylor expansion of phi2 in phi2 1.770 * [backup-simplify]: Simplify 0 into 0 1.770 * [backup-simplify]: Simplify 1 into 1 1.771 * [backup-simplify]: Simplify (/ 1 1) into 1 1.771 * [backup-simplify]: Simplify (+ 0 1) into 1 1.771 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.771 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.771 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.771 * [taylor]: Taking taylor expansion of 0 in phi2 1.771 * [backup-simplify]: Simplify 0 into 0 1.771 * [backup-simplify]: Simplify 0 into 0 1.771 * [backup-simplify]: Simplify 0 into 0 1.771 * [taylor]: Taking taylor expansion of 0 in phi2 1.771 * [backup-simplify]: Simplify 0 into 0 1.771 * [backup-simplify]: Simplify 0 into 0 1.772 * [backup-simplify]: Simplify 0 into 0 1.772 * [backup-simplify]: Simplify 0 into 0 1.772 * [taylor]: Taking taylor expansion of 0 in phi2 1.772 * [backup-simplify]: Simplify 0 into 0 1.772 * [backup-simplify]: Simplify 0 into 0 1.772 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) into (cos (* 1/2 (+ phi1 phi2))) 1.772 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.772 * [approximate]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in (phi1 phi2) around 0 1.772 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.772 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.772 * [taylor]: Taking taylor expansion of -1/2 in phi2 1.772 * [backup-simplify]: Simplify -1/2 into -1/2 1.772 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.772 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.772 * [taylor]: Taking taylor expansion of phi1 in phi2 1.772 * [backup-simplify]: Simplify phi1 into phi1 1.772 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.772 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.772 * [taylor]: Taking taylor expansion of phi2 in phi2 1.772 * [backup-simplify]: Simplify 0 into 0 1.772 * [backup-simplify]: Simplify 1 into 1 1.772 * [backup-simplify]: Simplify (/ 1 1) into 1 1.773 * [backup-simplify]: Simplify (+ 0 1) into 1 1.773 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.773 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.773 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.773 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.773 * [taylor]: Taking taylor expansion of -1/2 in phi1 1.773 * [backup-simplify]: Simplify -1/2 into -1/2 1.773 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.773 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.773 * [taylor]: Taking taylor expansion of phi1 in phi1 1.773 * [backup-simplify]: Simplify 0 into 0 1.773 * [backup-simplify]: Simplify 1 into 1 1.773 * [backup-simplify]: Simplify (/ 1 1) into 1 1.773 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.773 * [taylor]: Taking taylor expansion of phi2 in phi1 1.773 * [backup-simplify]: Simplify phi2 into phi2 1.773 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.774 * [backup-simplify]: Simplify (+ 1 0) into 1 1.774 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.774 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.774 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.774 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.774 * [taylor]: Taking taylor expansion of -1/2 in phi1 1.774 * [backup-simplify]: Simplify -1/2 into -1/2 1.774 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.774 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.774 * [taylor]: Taking taylor expansion of phi1 in phi1 1.774 * [backup-simplify]: Simplify 0 into 0 1.774 * [backup-simplify]: Simplify 1 into 1 1.774 * [backup-simplify]: Simplify (/ 1 1) into 1 1.775 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.775 * [taylor]: Taking taylor expansion of phi2 in phi1 1.775 * [backup-simplify]: Simplify phi2 into phi2 1.775 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.775 * [backup-simplify]: Simplify (+ 1 0) into 1 1.775 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.775 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.775 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.775 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.775 * [taylor]: Taking taylor expansion of -1/2 in phi2 1.775 * [backup-simplify]: Simplify -1/2 into -1/2 1.775 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.775 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.775 * [taylor]: Taking taylor expansion of phi1 in phi2 1.775 * [backup-simplify]: Simplify phi1 into phi1 1.775 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.775 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.775 * [taylor]: Taking taylor expansion of phi2 in phi2 1.775 * [backup-simplify]: Simplify 0 into 0 1.775 * [backup-simplify]: Simplify 1 into 1 1.776 * [backup-simplify]: Simplify (/ 1 1) into 1 1.776 * [backup-simplify]: Simplify (+ 0 1) into 1 1.776 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.776 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.776 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.776 * [taylor]: Taking taylor expansion of 0 in phi2 1.776 * [backup-simplify]: Simplify 0 into 0 1.777 * [backup-simplify]: Simplify 0 into 0 1.777 * [backup-simplify]: Simplify 0 into 0 1.777 * [taylor]: Taking taylor expansion of 0 in phi2 1.777 * [backup-simplify]: Simplify 0 into 0 1.777 * [backup-simplify]: Simplify 0 into 0 1.777 * [backup-simplify]: Simplify 0 into 0 1.777 * [backup-simplify]: Simplify 0 into 0 1.777 * [taylor]: Taking taylor expansion of 0 in phi2 1.777 * [backup-simplify]: Simplify 0 into 0 1.777 * [backup-simplify]: Simplify 0 into 0 1.777 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) into (cos (* 1/2 (+ phi1 phi2))) 1.777 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 2) 1.777 * [backup-simplify]: Simplify (cos (/ (+ phi1 phi2) 2)) into (cos (* 1/2 (+ phi1 phi2))) 1.777 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in (phi1 phi2) around 0 1.777 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 1.777 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 1.777 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.777 * [backup-simplify]: Simplify 1/2 into 1/2 1.777 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 1.777 * [taylor]: Taking taylor expansion of phi1 in phi2 1.777 * [backup-simplify]: Simplify phi1 into phi1 1.777 * [taylor]: Taking taylor expansion of phi2 in phi2 1.777 * [backup-simplify]: Simplify 0 into 0 1.777 * [backup-simplify]: Simplify 1 into 1 1.777 * [backup-simplify]: Simplify (+ phi1 0) into phi1 1.777 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 1.777 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 1.777 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 1.777 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1.777 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1.777 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.777 * [backup-simplify]: Simplify 1/2 into 1/2 1.777 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 1.777 * [taylor]: Taking taylor expansion of phi1 in phi1 1.777 * [backup-simplify]: Simplify 0 into 0 1.777 * [backup-simplify]: Simplify 1 into 1 1.777 * [taylor]: Taking taylor expansion of phi2 in phi1 1.777 * [backup-simplify]: Simplify phi2 into phi2 1.777 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 1.777 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1.778 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1.778 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1.778 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1.778 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1.778 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.778 * [backup-simplify]: Simplify 1/2 into 1/2 1.778 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 1.778 * [taylor]: Taking taylor expansion of phi1 in phi1 1.778 * [backup-simplify]: Simplify 0 into 0 1.778 * [backup-simplify]: Simplify 1 into 1 1.778 * [taylor]: Taking taylor expansion of phi2 in phi1 1.778 * [backup-simplify]: Simplify phi2 into phi2 1.778 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 1.778 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1.778 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1.778 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1.778 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1.778 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1.778 * [backup-simplify]: Simplify (- 0) into 0 1.778 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1.778 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1.778 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 1.778 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.778 * [backup-simplify]: Simplify 1/2 into 1/2 1.778 * [taylor]: Taking taylor expansion of phi2 in phi2 1.778 * [backup-simplify]: Simplify 0 into 0 1.778 * [backup-simplify]: Simplify 1 into 1 1.779 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.779 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.779 * [backup-simplify]: Simplify 1 into 1 1.779 * [backup-simplify]: Simplify (+ 0) into 0 1.780 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 1.780 * [backup-simplify]: Simplify (+ 1 0) into 1 1.780 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 1.781 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 1.781 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 1.781 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 1.781 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 1.781 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (* 1/2 phi2)))) in phi2 1.781 * [taylor]: Taking taylor expansion of (* 1/2 (sin (* 1/2 phi2))) in phi2 1.781 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.781 * [backup-simplify]: Simplify 1/2 into 1/2 1.781 * [taylor]: Taking taylor expansion of (sin (* 1/2 phi2)) in phi2 1.781 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 1.781 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.781 * [backup-simplify]: Simplify 1/2 into 1/2 1.781 * [taylor]: Taking taylor expansion of phi2 in phi2 1.781 * [backup-simplify]: Simplify 0 into 0 1.781 * [backup-simplify]: Simplify 1 into 1 1.782 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.782 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.782 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.783 * [backup-simplify]: Simplify (- 0) into 0 1.783 * [backup-simplify]: Simplify 0 into 0 1.783 * [backup-simplify]: Simplify (+ 0) into 0 1.783 * [backup-simplify]: Simplify 0 into 0 1.783 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 1.784 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) -1/8) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (cos (* 1/2 phi2)))) 1.784 * [backup-simplify]: Simplify (+ 0 0) into 0 1.785 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 phi2))) into 0 1.786 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.786 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 0) (+ (* 0 1/2) (* 0 0))) into 0 1.787 * [backup-simplify]: Simplify (- 0) into 0 1.787 * [backup-simplify]: Simplify (+ (- (* 1/8 (cos (* 1/2 phi2)))) 0) into (- (* 1/8 (cos (* 1/2 phi2)))) 1.787 * [taylor]: Taking taylor expansion of (- (* 1/8 (cos (* 1/2 phi2)))) in phi2 1.787 * [taylor]: Taking taylor expansion of (* 1/8 (cos (* 1/2 phi2))) in phi2 1.787 * [taylor]: Taking taylor expansion of 1/8 in phi2 1.787 * [backup-simplify]: Simplify 1/8 into 1/8 1.787 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1.787 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 1.787 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.787 * [backup-simplify]: Simplify 1/2 into 1/2 1.787 * [taylor]: Taking taylor expansion of phi2 in phi2 1.787 * [backup-simplify]: Simplify 0 into 0 1.787 * [backup-simplify]: Simplify 1 into 1 1.788 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.788 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.789 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 1.789 * [backup-simplify]: Simplify (- 1/8) into -1/8 1.789 * [backup-simplify]: Simplify -1/8 into -1/8 1.790 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 1.791 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 0 0)) into 1/4 1.791 * [backup-simplify]: Simplify (- 1/4) into -1/4 1.791 * [backup-simplify]: Simplify -1/4 into -1/4 1.791 * [backup-simplify]: Simplify (+ (* -1/4 (* phi2 phi1)) (+ (* -1/8 (pow (* 1 phi1) 2)) 1)) into (- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi1 2)))) 1.791 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.791 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in (phi1 phi2) around 0 1.791 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.792 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.792 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.792 * [backup-simplify]: Simplify 1/2 into 1/2 1.792 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.792 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.792 * [taylor]: Taking taylor expansion of phi1 in phi2 1.792 * [backup-simplify]: Simplify phi1 into phi1 1.792 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.792 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.792 * [taylor]: Taking taylor expansion of phi2 in phi2 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify 1 into 1 1.792 * [backup-simplify]: Simplify (/ 1 1) into 1 1.793 * [backup-simplify]: Simplify (+ 0 1) into 1 1.793 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.793 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.793 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.793 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.793 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.793 * [backup-simplify]: Simplify 1/2 into 1/2 1.793 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.793 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.793 * [taylor]: Taking taylor expansion of phi1 in phi1 1.794 * [backup-simplify]: Simplify 0 into 0 1.794 * [backup-simplify]: Simplify 1 into 1 1.794 * [backup-simplify]: Simplify (/ 1 1) into 1 1.794 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.794 * [taylor]: Taking taylor expansion of phi2 in phi1 1.794 * [backup-simplify]: Simplify phi2 into phi2 1.794 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.794 * [backup-simplify]: Simplify (+ 1 0) into 1 1.795 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.795 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.795 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.795 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.795 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.795 * [backup-simplify]: Simplify 1/2 into 1/2 1.795 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.795 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.795 * [taylor]: Taking taylor expansion of phi1 in phi1 1.795 * [backup-simplify]: Simplify 0 into 0 1.795 * [backup-simplify]: Simplify 1 into 1 1.796 * [backup-simplify]: Simplify (/ 1 1) into 1 1.796 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.796 * [taylor]: Taking taylor expansion of phi2 in phi1 1.796 * [backup-simplify]: Simplify phi2 into phi2 1.796 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.796 * [backup-simplify]: Simplify (+ 1 0) into 1 1.797 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.797 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.797 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.797 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.797 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.797 * [backup-simplify]: Simplify 1/2 into 1/2 1.797 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.797 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.797 * [taylor]: Taking taylor expansion of phi1 in phi2 1.797 * [backup-simplify]: Simplify phi1 into phi1 1.797 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.797 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.797 * [taylor]: Taking taylor expansion of phi2 in phi2 1.797 * [backup-simplify]: Simplify 0 into 0 1.797 * [backup-simplify]: Simplify 1 into 1 1.798 * [backup-simplify]: Simplify (/ 1 1) into 1 1.798 * [backup-simplify]: Simplify (+ 0 1) into 1 1.799 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.799 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.799 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.799 * [taylor]: Taking taylor expansion of 0 in phi2 1.799 * [backup-simplify]: Simplify 0 into 0 1.799 * [backup-simplify]: Simplify 0 into 0 1.799 * [backup-simplify]: Simplify 0 into 0 1.799 * [taylor]: Taking taylor expansion of 0 in phi2 1.799 * [backup-simplify]: Simplify 0 into 0 1.799 * [backup-simplify]: Simplify 0 into 0 1.799 * [backup-simplify]: Simplify 0 into 0 1.799 * [backup-simplify]: Simplify 0 into 0 1.799 * [taylor]: Taking taylor expansion of 0 in phi2 1.799 * [backup-simplify]: Simplify 0 into 0 1.799 * [backup-simplify]: Simplify 0 into 0 1.799 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) into (cos (* 1/2 (+ phi1 phi2))) 1.800 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.800 * [approximate]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in (phi1 phi2) around 0 1.800 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.800 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.800 * [taylor]: Taking taylor expansion of -1/2 in phi2 1.800 * [backup-simplify]: Simplify -1/2 into -1/2 1.800 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.800 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.800 * [taylor]: Taking taylor expansion of phi1 in phi2 1.800 * [backup-simplify]: Simplify phi1 into phi1 1.800 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.800 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.800 * [taylor]: Taking taylor expansion of phi2 in phi2 1.800 * [backup-simplify]: Simplify 0 into 0 1.800 * [backup-simplify]: Simplify 1 into 1 1.801 * [backup-simplify]: Simplify (/ 1 1) into 1 1.801 * [backup-simplify]: Simplify (+ 0 1) into 1 1.801 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.802 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.802 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.802 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.802 * [taylor]: Taking taylor expansion of -1/2 in phi1 1.802 * [backup-simplify]: Simplify -1/2 into -1/2 1.802 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.802 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.802 * [taylor]: Taking taylor expansion of phi1 in phi1 1.802 * [backup-simplify]: Simplify 0 into 0 1.802 * [backup-simplify]: Simplify 1 into 1 1.802 * [backup-simplify]: Simplify (/ 1 1) into 1 1.802 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.802 * [taylor]: Taking taylor expansion of phi2 in phi1 1.802 * [backup-simplify]: Simplify phi2 into phi2 1.802 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.803 * [backup-simplify]: Simplify (+ 1 0) into 1 1.803 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.803 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.804 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.804 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.804 * [taylor]: Taking taylor expansion of -1/2 in phi1 1.804 * [backup-simplify]: Simplify -1/2 into -1/2 1.804 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.804 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.804 * [taylor]: Taking taylor expansion of phi1 in phi1 1.804 * [backup-simplify]: Simplify 0 into 0 1.804 * [backup-simplify]: Simplify 1 into 1 1.804 * [backup-simplify]: Simplify (/ 1 1) into 1 1.804 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.804 * [taylor]: Taking taylor expansion of phi2 in phi1 1.804 * [backup-simplify]: Simplify phi2 into phi2 1.804 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.805 * [backup-simplify]: Simplify (+ 1 0) into 1 1.805 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.805 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.805 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.805 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.805 * [taylor]: Taking taylor expansion of -1/2 in phi2 1.805 * [backup-simplify]: Simplify -1/2 into -1/2 1.805 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.805 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.806 * [taylor]: Taking taylor expansion of phi1 in phi2 1.806 * [backup-simplify]: Simplify phi1 into phi1 1.806 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.806 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.806 * [taylor]: Taking taylor expansion of phi2 in phi2 1.806 * [backup-simplify]: Simplify 0 into 0 1.806 * [backup-simplify]: Simplify 1 into 1 1.806 * [backup-simplify]: Simplify (/ 1 1) into 1 1.807 * [backup-simplify]: Simplify (+ 0 1) into 1 1.807 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.807 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.807 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.807 * [taylor]: Taking taylor expansion of 0 in phi2 1.807 * [backup-simplify]: Simplify 0 into 0 1.807 * [backup-simplify]: Simplify 0 into 0 1.807 * [backup-simplify]: Simplify 0 into 0 1.807 * [taylor]: Taking taylor expansion of 0 in phi2 1.808 * [backup-simplify]: Simplify 0 into 0 1.808 * [backup-simplify]: Simplify 0 into 0 1.808 * [backup-simplify]: Simplify 0 into 0 1.808 * [backup-simplify]: Simplify 0 into 0 1.808 * [taylor]: Taking taylor expansion of 0 in phi2 1.808 * [backup-simplify]: Simplify 0 into 0 1.808 * [backup-simplify]: Simplify 0 into 0 1.808 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) into (cos (* 1/2 (+ phi1 phi2))) 1.808 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 1.808 * [backup-simplify]: Simplify (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) into (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1.808 * [approximate]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in (lambda1 lambda2 phi1 phi2) around 0 1.808 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi2 1.808 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi2 1.808 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi2 1.809 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.809 * [backup-simplify]: Simplify lambda1 into lambda1 1.809 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.809 * [backup-simplify]: Simplify lambda2 into lambda2 1.809 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.809 * [backup-simplify]: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) 1.809 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 1.809 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 1.809 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 1.809 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.809 * [backup-simplify]: Simplify 1/2 into 1/2 1.809 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 1.809 * [taylor]: Taking taylor expansion of phi1 in phi2 1.809 * [backup-simplify]: Simplify phi1 into phi1 1.809 * [taylor]: Taking taylor expansion of phi2 in phi2 1.809 * [backup-simplify]: Simplify 0 into 0 1.809 * [backup-simplify]: Simplify 1 into 1 1.809 * [backup-simplify]: Simplify (+ phi1 0) into phi1 1.809 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 1.809 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 1.809 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 1.809 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 1.809 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0 1.810 * [backup-simplify]: Simplify (- 0) into 0 1.810 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 1.810 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 1.810 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi1 1.810 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi1 1.810 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.810 * [backup-simplify]: Simplify lambda1 into lambda1 1.810 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.810 * [backup-simplify]: Simplify lambda2 into lambda2 1.810 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.810 * [backup-simplify]: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) 1.810 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 1.810 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1.810 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1.810 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.810 * [backup-simplify]: Simplify 1/2 into 1/2 1.810 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 1.810 * [taylor]: Taking taylor expansion of phi1 in phi1 1.810 * [backup-simplify]: Simplify 0 into 0 1.810 * [backup-simplify]: Simplify 1 into 1 1.811 * [taylor]: Taking taylor expansion of phi2 in phi1 1.811 * [backup-simplify]: Simplify phi2 into phi2 1.811 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 1.811 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1.811 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1.811 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1.811 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1.811 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1.811 * [backup-simplify]: Simplify (- 0) into 0 1.811 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1.811 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 1.812 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda2 1.812 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 1.812 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.812 * [backup-simplify]: Simplify lambda1 into lambda1 1.812 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.812 * [backup-simplify]: Simplify 0 into 0 1.812 * [backup-simplify]: Simplify 1 into 1 1.812 * [backup-simplify]: Simplify (- 0) into 0 1.812 * [backup-simplify]: Simplify (+ lambda1 0) into lambda1 1.812 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1.812 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1.812 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1.812 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.812 * [backup-simplify]: Simplify 1/2 into 1/2 1.812 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 1.812 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.812 * [backup-simplify]: Simplify phi1 into phi1 1.812 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.812 * [backup-simplify]: Simplify phi2 into phi2 1.812 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1.813 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1.813 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1.813 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1.813 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1.813 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1.813 * [backup-simplify]: Simplify (- 0) into 0 1.813 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1.813 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 1.814 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda1 1.814 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 1.814 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.814 * [backup-simplify]: Simplify 0 into 0 1.814 * [backup-simplify]: Simplify 1 into 1 1.814 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.814 * [backup-simplify]: Simplify lambda2 into lambda2 1.814 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.814 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 1.814 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 1.814 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 1.814 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 1.814 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.814 * [backup-simplify]: Simplify 1/2 into 1/2 1.814 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 1.814 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.814 * [backup-simplify]: Simplify phi1 into phi1 1.814 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.814 * [backup-simplify]: Simplify phi2 into phi2 1.814 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1.814 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1.814 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1.814 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1.814 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1.815 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1.815 * [backup-simplify]: Simplify (- 0) into 0 1.815 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1.815 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 1.815 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda1 1.815 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 1.815 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.815 * [backup-simplify]: Simplify 0 into 0 1.815 * [backup-simplify]: Simplify 1 into 1 1.815 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.815 * [backup-simplify]: Simplify lambda2 into lambda2 1.815 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.815 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 1.815 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 1.815 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 1.816 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 1.816 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.816 * [backup-simplify]: Simplify 1/2 into 1/2 1.816 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 1.816 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.816 * [backup-simplify]: Simplify phi1 into phi1 1.816 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.816 * [backup-simplify]: Simplify phi2 into phi2 1.816 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1.816 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1.816 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1.816 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1.816 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1.816 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1.817 * [backup-simplify]: Simplify (- 0) into 0 1.817 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1.817 * [backup-simplify]: Simplify (* (- lambda2) (- lambda2)) into (pow lambda2 2) 1.817 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.817 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1.817 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 1.818 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 1.818 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.818 * [backup-simplify]: Simplify 0 into 0 1.818 * [backup-simplify]: Simplify 1 into 1 1.818 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1.818 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1.818 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1.818 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.818 * [backup-simplify]: Simplify 1/2 into 1/2 1.818 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 1.818 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.818 * [backup-simplify]: Simplify phi1 into phi1 1.818 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.818 * [backup-simplify]: Simplify phi2 into phi2 1.818 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1.818 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1.818 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1.818 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1.818 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1.818 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1.819 * [backup-simplify]: Simplify (- 0) into 0 1.819 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1.820 * [backup-simplify]: Simplify (+ 0) into 0 1.820 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 1.821 * [backup-simplify]: Simplify (+ 0 0) into 0 1.821 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 1.822 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.823 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 1.823 * [backup-simplify]: Simplify (- 0) into 0 1.823 * [backup-simplify]: Simplify (+ 0 0) into 0 1.824 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 1.824 * [backup-simplify]: Simplify (- 0) into 0 1.824 * [backup-simplify]: Simplify (+ 1 0) into 1 1.825 * [backup-simplify]: Simplify (+ (* (- lambda2) 1) (* 1 (- lambda2))) into (- (* 2 lambda2)) 1.825 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (* (- (* 2 lambda2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 1.825 * [taylor]: Taking taylor expansion of (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda2 1.825 * [taylor]: Taking taylor expansion of (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda2 1.825 * [taylor]: Taking taylor expansion of 2 in lambda2 1.825 * [backup-simplify]: Simplify 2 into 2 1.825 * [taylor]: Taking taylor expansion of (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 1.825 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.825 * [backup-simplify]: Simplify 0 into 0 1.825 * [backup-simplify]: Simplify 1 into 1 1.825 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1.825 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1.825 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1.825 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.825 * [backup-simplify]: Simplify 1/2 into 1/2 1.825 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 1.825 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.825 * [backup-simplify]: Simplify phi1 into phi1 1.825 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.825 * [backup-simplify]: Simplify phi2 into phi2 1.825 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1.826 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1.826 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1.826 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1.826 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1.826 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1.826 * [backup-simplify]: Simplify (- 0) into 0 1.826 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1.827 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.827 * [backup-simplify]: Simplify (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into 0 1.827 * [backup-simplify]: Simplify (* 2 0) into 0 1.828 * [backup-simplify]: Simplify (- 0) into 0 1.828 * [taylor]: Taking taylor expansion of 0 in phi1 1.828 * [backup-simplify]: Simplify 0 into 0 1.828 * [taylor]: Taking taylor expansion of 0 in phi2 1.828 * [backup-simplify]: Simplify 0 into 0 1.828 * [backup-simplify]: Simplify 0 into 0 1.829 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.830 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 1.830 * [backup-simplify]: Simplify (+ 0 0) into 0 1.831 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ phi1 phi2)))) into 0 1.832 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.832 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 1.833 * [backup-simplify]: Simplify (- 0) into 0 1.833 * [backup-simplify]: Simplify (+ 0 0) into 0 1.833 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 1.833 * [backup-simplify]: Simplify (- 0) into 0 1.834 * [backup-simplify]: Simplify (+ 0 0) into 0 1.834 * [backup-simplify]: Simplify (+ (* (- lambda2) 0) (+ (* 1 1) (* 0 (- lambda2)))) into 1 1.834 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (+ (* (- (* 2 lambda2)) 0) (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.834 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1.834 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1.834 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1.834 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.834 * [backup-simplify]: Simplify 1/2 into 1/2 1.834 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 1.834 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.834 * [backup-simplify]: Simplify phi1 into phi1 1.834 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.834 * [backup-simplify]: Simplify phi2 into phi2 1.834 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1.834 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1.834 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1.834 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1.835 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1.835 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1.835 * [backup-simplify]: Simplify (- 0) into 0 1.835 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1.835 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.835 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 1.835 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1.835 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1.835 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.835 * [backup-simplify]: Simplify 1/2 into 1/2 1.835 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 1.835 * [taylor]: Taking taylor expansion of phi1 in phi1 1.835 * [backup-simplify]: Simplify 0 into 0 1.835 * [backup-simplify]: Simplify 1 into 1 1.835 * [taylor]: Taking taylor expansion of phi2 in phi1 1.835 * [backup-simplify]: Simplify phi2 into phi2 1.835 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 1.835 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1.835 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1.835 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1.835 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1.835 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1.836 * [backup-simplify]: Simplify (- 0) into 0 1.836 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1.836 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 1.836 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 1.836 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1.836 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 1.836 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.836 * [backup-simplify]: Simplify 1/2 into 1/2 1.836 * [taylor]: Taking taylor expansion of phi2 in phi2 1.836 * [backup-simplify]: Simplify 0 into 0 1.836 * [backup-simplify]: Simplify 1 into 1 1.836 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.837 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.837 * [backup-simplify]: Simplify (* 1 1) into 1 1.837 * [backup-simplify]: Simplify 1 into 1 1.837 * [backup-simplify]: Simplify (+ 0) into 0 1.837 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 1.838 * [backup-simplify]: Simplify (+ 0 0) into 0 1.838 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 1.840 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.841 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 1.841 * [backup-simplify]: Simplify (- 0) into 0 1.841 * [backup-simplify]: Simplify (+ 0 0) into 0 1.842 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 1.842 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.842 * [backup-simplify]: Simplify (+ (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 0 0)) into (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1.842 * [backup-simplify]: Simplify (- (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 1.842 * [taylor]: Taking taylor expansion of (- (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in phi1 1.842 * [taylor]: Taking taylor expansion of (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 1.842 * [taylor]: Taking taylor expansion of 2 in phi1 1.842 * [backup-simplify]: Simplify 2 into 2 1.842 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 1.842 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1.842 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1.842 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.842 * [backup-simplify]: Simplify 1/2 into 1/2 1.843 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 1.843 * [taylor]: Taking taylor expansion of phi1 in phi1 1.843 * [backup-simplify]: Simplify 0 into 0 1.843 * [backup-simplify]: Simplify 1 into 1 1.843 * [taylor]: Taking taylor expansion of phi2 in phi1 1.843 * [backup-simplify]: Simplify phi2 into phi2 1.843 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 1.843 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1.843 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1.843 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1.843 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1.843 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1.843 * [backup-simplify]: Simplify (- 0) into 0 1.843 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1.843 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 1.843 * [backup-simplify]: Simplify (* 2 (pow (cos (* 1/2 phi2)) 2)) into (* 2 (pow (cos (* 1/2 phi2)) 2)) 1.843 * [backup-simplify]: Simplify (- (* 2 (pow (cos (* 1/2 phi2)) 2))) into (- (* 2 (pow (cos (* 1/2 phi2)) 2))) 1.843 * [taylor]: Taking taylor expansion of (- (* 2 (pow (cos (* 1/2 phi2)) 2))) in phi2 1.843 * [taylor]: Taking taylor expansion of (* 2 (pow (cos (* 1/2 phi2)) 2)) in phi2 1.843 * [taylor]: Taking taylor expansion of 2 in phi2 1.843 * [backup-simplify]: Simplify 2 into 2 1.843 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 1.844 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1.844 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 1.844 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.844 * [backup-simplify]: Simplify 1/2 into 1/2 1.844 * [taylor]: Taking taylor expansion of phi2 in phi2 1.844 * [backup-simplify]: Simplify 0 into 0 1.844 * [backup-simplify]: Simplify 1 into 1 1.844 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.844 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.845 * [backup-simplify]: Simplify (* 1 1) into 1 1.845 * [backup-simplify]: Simplify (* 2 1) into 2 1.845 * [backup-simplify]: Simplify (- 2) into -2 1.845 * [backup-simplify]: Simplify -2 into -2 1.845 * [backup-simplify]: Simplify (* 1 1) into 1 1.845 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.846 * [backup-simplify]: Simplify (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.846 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 1.846 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1.846 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1.846 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.846 * [backup-simplify]: Simplify 1/2 into 1/2 1.846 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 1.846 * [taylor]: Taking taylor expansion of phi1 in phi1 1.846 * [backup-simplify]: Simplify 0 into 0 1.846 * [backup-simplify]: Simplify 1 into 1 1.846 * [taylor]: Taking taylor expansion of phi2 in phi1 1.846 * [backup-simplify]: Simplify phi2 into phi2 1.846 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 1.846 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1.846 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1.846 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1.846 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1.846 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1.846 * [backup-simplify]: Simplify (- 0) into 0 1.846 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1.846 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 1.846 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 1.846 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1.846 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 1.846 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.846 * [backup-simplify]: Simplify 1/2 into 1/2 1.846 * [taylor]: Taking taylor expansion of phi2 in phi2 1.846 * [backup-simplify]: Simplify 0 into 0 1.846 * [backup-simplify]: Simplify 1 into 1 1.847 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.847 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.847 * [backup-simplify]: Simplify (* 1 1) into 1 1.847 * [backup-simplify]: Simplify 1 into 1 1.848 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (* 1 (* lambda2 1))) 2)) (+ (* -2 (* 1 (* 1 (* lambda2 lambda1)))) (* 1 (pow (* 1 (* 1 (* 1 lambda1))) 2)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) 1.848 * [backup-simplify]: Simplify (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1.848 * [approximate]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in (lambda1 lambda2 phi1 phi2) around 0 1.848 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in phi2 1.848 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1.848 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.848 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.848 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.848 * [backup-simplify]: Simplify 1/2 into 1/2 1.848 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.848 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.848 * [taylor]: Taking taylor expansion of phi1 in phi2 1.848 * [backup-simplify]: Simplify phi1 into phi1 1.848 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.848 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.848 * [taylor]: Taking taylor expansion of phi2 in phi2 1.848 * [backup-simplify]: Simplify 0 into 0 1.848 * [backup-simplify]: Simplify 1 into 1 1.848 * [backup-simplify]: Simplify (/ 1 1) into 1 1.849 * [backup-simplify]: Simplify (+ 0 1) into 1 1.849 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.849 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.849 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in phi2 1.849 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 1.849 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.849 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.849 * [backup-simplify]: Simplify lambda1 into lambda1 1.849 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.849 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.849 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.849 * [backup-simplify]: Simplify lambda2 into lambda2 1.849 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.849 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 1.849 * [backup-simplify]: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) 1.849 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in phi1 1.849 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1.849 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.849 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.849 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.850 * [backup-simplify]: Simplify 1/2 into 1/2 1.850 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.850 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.850 * [taylor]: Taking taylor expansion of phi1 in phi1 1.850 * [backup-simplify]: Simplify 0 into 0 1.850 * [backup-simplify]: Simplify 1 into 1 1.850 * [backup-simplify]: Simplify (/ 1 1) into 1 1.850 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.850 * [taylor]: Taking taylor expansion of phi2 in phi1 1.850 * [backup-simplify]: Simplify phi2 into phi2 1.850 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.850 * [backup-simplify]: Simplify (+ 1 0) into 1 1.850 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.851 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.851 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in phi1 1.851 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 1.851 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.851 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.851 * [backup-simplify]: Simplify lambda1 into lambda1 1.851 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.851 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.851 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.851 * [backup-simplify]: Simplify lambda2 into lambda2 1.851 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.851 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 1.851 * [backup-simplify]: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) 1.851 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda2 1.851 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1.851 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.851 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.851 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.851 * [backup-simplify]: Simplify 1/2 into 1/2 1.851 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.851 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.851 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.851 * [backup-simplify]: Simplify phi1 into phi1 1.851 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.851 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.851 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.851 * [backup-simplify]: Simplify phi2 into phi2 1.851 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.851 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.851 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.851 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.851 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.851 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.852 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.852 * [backup-simplify]: Simplify (- 0) into 0 1.852 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.852 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in lambda2 1.852 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 1.852 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.852 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.852 * [backup-simplify]: Simplify lambda1 into lambda1 1.852 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.852 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.852 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.852 * [backup-simplify]: Simplify 0 into 0 1.852 * [backup-simplify]: Simplify 1 into 1 1.852 * [backup-simplify]: Simplify (/ 1 1) into 1 1.853 * [backup-simplify]: Simplify (- 1) into -1 1.853 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.853 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1 1.853 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1.853 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1.853 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1.853 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.853 * [backup-simplify]: Simplify 1/2 into 1/2 1.853 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1.853 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.853 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.853 * [backup-simplify]: Simplify phi1 into phi1 1.853 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.853 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.853 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.853 * [backup-simplify]: Simplify phi2 into phi2 1.853 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.853 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.853 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.853 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.853 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.853 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.854 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.854 * [backup-simplify]: Simplify (- 0) into 0 1.854 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.854 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in lambda1 1.854 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 1.854 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.854 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.854 * [backup-simplify]: Simplify 0 into 0 1.854 * [backup-simplify]: Simplify 1 into 1 1.854 * [backup-simplify]: Simplify (/ 1 1) into 1 1.854 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.854 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.854 * [backup-simplify]: Simplify lambda2 into lambda2 1.854 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.855 * [backup-simplify]: Simplify (+ 1 0) into 1 1.855 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1 1.855 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1.855 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1.855 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1.855 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.855 * [backup-simplify]: Simplify 1/2 into 1/2 1.855 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1.855 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.855 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.855 * [backup-simplify]: Simplify phi1 into phi1 1.855 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.855 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.855 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.855 * [backup-simplify]: Simplify phi2 into phi2 1.855 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.855 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.855 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.855 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.855 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.855 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.855 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.856 * [backup-simplify]: Simplify (- 0) into 0 1.856 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.856 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in lambda1 1.856 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 1.856 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.856 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.856 * [backup-simplify]: Simplify 0 into 0 1.856 * [backup-simplify]: Simplify 1 into 1 1.856 * [backup-simplify]: Simplify (/ 1 1) into 1 1.856 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.856 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.856 * [backup-simplify]: Simplify lambda2 into lambda2 1.856 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.856 * [backup-simplify]: Simplify (+ 1 0) into 1 1.857 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.857 * [backup-simplify]: Simplify (* 1 1) into 1 1.857 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.857 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1.857 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.857 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.857 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.857 * [backup-simplify]: Simplify 1/2 into 1/2 1.857 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.857 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.857 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.857 * [backup-simplify]: Simplify phi1 into phi1 1.857 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.857 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.857 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.857 * [backup-simplify]: Simplify phi2 into phi2 1.857 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.857 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.857 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.858 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.858 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.858 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.858 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.858 * [backup-simplify]: Simplify (- 0) into 0 1.858 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.859 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 1.859 * [backup-simplify]: Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2)) 1.859 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 lambda2))) (* (- (/ 1 lambda2)) 1)) into (- (* 2 (/ 1 lambda2))) 1.859 * [backup-simplify]: Simplify (+ 0) into 0 1.859 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1.860 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.860 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.860 * [backup-simplify]: Simplify (+ 0 0) into 0 1.860 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1.861 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.861 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1.861 * [backup-simplify]: Simplify (- 0) into 0 1.861 * [backup-simplify]: Simplify (+ 0 0) into 0 1.862 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.862 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (- (* 2 (/ 1 lambda2)))) (* 0 1)) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1.862 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) in lambda2 1.862 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) in lambda2 1.862 * [taylor]: Taking taylor expansion of 2 in lambda2 1.862 * [backup-simplify]: Simplify 2 into 2 1.862 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) in lambda2 1.862 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1.862 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.862 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.862 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.862 * [backup-simplify]: Simplify 1/2 into 1/2 1.862 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.862 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.862 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.862 * [backup-simplify]: Simplify phi1 into phi1 1.862 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.862 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.862 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.862 * [backup-simplify]: Simplify phi2 into phi2 1.862 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.862 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.863 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.863 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.863 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.863 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.863 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.863 * [backup-simplify]: Simplify (- 0) into 0 1.863 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.863 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.863 * [backup-simplify]: Simplify 0 into 0 1.863 * [backup-simplify]: Simplify 1 into 1 1.863 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.864 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.864 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 1.864 * [backup-simplify]: Simplify (- 0) into 0 1.865 * [backup-simplify]: Simplify (+ 0 0) into 0 1.865 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 lambda2)) (- (/ 1 lambda2))) (* 0 1))) into (/ 1 (pow lambda2 2)) 1.866 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.866 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1.866 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.866 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.867 * [backup-simplify]: Simplify (+ 0 0) into 0 1.867 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1.868 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.868 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1.868 * [backup-simplify]: Simplify (- 0) into 0 1.869 * [backup-simplify]: Simplify (+ 0 0) into 0 1.869 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1.870 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 1 (pow lambda2 2))) (+ (* 0 (- (* 2 (/ 1 lambda2)))) (* 0 1))) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1.870 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda2 1.870 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1.870 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.870 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.870 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.870 * [backup-simplify]: Simplify 1/2 into 1/2 1.870 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.870 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.870 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.870 * [backup-simplify]: Simplify phi1 into phi1 1.870 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.870 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.870 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.870 * [backup-simplify]: Simplify phi2 into phi2 1.870 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.870 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.870 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.870 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.870 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.870 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.870 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.871 * [backup-simplify]: Simplify (- 0) into 0 1.871 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.871 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 1.871 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.871 * [backup-simplify]: Simplify 0 into 0 1.871 * [backup-simplify]: Simplify 1 into 1 1.871 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.871 * [backup-simplify]: Simplify (* 1 1) into 1 1.871 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.871 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1.871 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.871 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.871 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.871 * [backup-simplify]: Simplify 1/2 into 1/2 1.871 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.872 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.872 * [taylor]: Taking taylor expansion of phi1 in phi1 1.872 * [backup-simplify]: Simplify 0 into 0 1.872 * [backup-simplify]: Simplify 1 into 1 1.872 * [backup-simplify]: Simplify (/ 1 1) into 1 1.872 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.872 * [taylor]: Taking taylor expansion of phi2 in phi1 1.872 * [backup-simplify]: Simplify phi2 into phi2 1.872 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.872 * [backup-simplify]: Simplify (+ 1 0) into 1 1.872 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.873 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.873 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.873 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1.873 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.873 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.873 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.873 * [backup-simplify]: Simplify 1/2 into 1/2 1.873 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.873 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.873 * [taylor]: Taking taylor expansion of phi1 in phi2 1.873 * [backup-simplify]: Simplify phi1 into phi1 1.873 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.873 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.873 * [taylor]: Taking taylor expansion of phi2 in phi2 1.873 * [backup-simplify]: Simplify 0 into 0 1.873 * [backup-simplify]: Simplify 1 into 1 1.873 * [backup-simplify]: Simplify (/ 1 1) into 1 1.873 * [backup-simplify]: Simplify (+ 0 1) into 1 1.874 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.874 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.874 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.874 * [backup-simplify]: Simplify (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.874 * [backup-simplify]: Simplify (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1.874 * [backup-simplify]: Simplify (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) 1.874 * [taylor]: Taking taylor expansion of (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) in phi1 1.874 * [taylor]: Taking taylor expansion of (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 1.874 * [taylor]: Taking taylor expansion of 2 in phi1 1.874 * [backup-simplify]: Simplify 2 into 2 1.874 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1.874 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.874 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.875 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.875 * [backup-simplify]: Simplify 1/2 into 1/2 1.875 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.875 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.875 * [taylor]: Taking taylor expansion of phi1 in phi1 1.875 * [backup-simplify]: Simplify 0 into 0 1.875 * [backup-simplify]: Simplify 1 into 1 1.875 * [backup-simplify]: Simplify (/ 1 1) into 1 1.875 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.875 * [taylor]: Taking taylor expansion of phi2 in phi1 1.875 * [backup-simplify]: Simplify phi2 into phi2 1.875 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.875 * [backup-simplify]: Simplify (+ 1 0) into 1 1.876 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.876 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.876 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.876 * [backup-simplify]: Simplify (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1.876 * [backup-simplify]: Simplify (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) 1.876 * [taylor]: Taking taylor expansion of (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) in phi2 1.876 * [taylor]: Taking taylor expansion of (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2 1.876 * [taylor]: Taking taylor expansion of 2 in phi2 1.876 * [backup-simplify]: Simplify 2 into 2 1.876 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1.876 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.876 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.876 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.876 * [backup-simplify]: Simplify 1/2 into 1/2 1.876 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.876 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.876 * [taylor]: Taking taylor expansion of phi1 in phi2 1.876 * [backup-simplify]: Simplify phi1 into phi1 1.876 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.876 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.877 * [taylor]: Taking taylor expansion of phi2 in phi2 1.877 * [backup-simplify]: Simplify 0 into 0 1.877 * [backup-simplify]: Simplify 1 into 1 1.877 * [backup-simplify]: Simplify (/ 1 1) into 1 1.877 * [backup-simplify]: Simplify (+ 0 1) into 1 1.878 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.878 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.878 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.878 * [backup-simplify]: Simplify (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1.878 * [backup-simplify]: Simplify (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) 1.878 * [backup-simplify]: Simplify (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) 1.878 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.878 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1.878 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.878 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.879 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.879 * [backup-simplify]: Simplify 1/2 into 1/2 1.879 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.879 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.879 * [taylor]: Taking taylor expansion of phi1 in phi1 1.879 * [backup-simplify]: Simplify 0 into 0 1.879 * [backup-simplify]: Simplify 1 into 1 1.879 * [backup-simplify]: Simplify (/ 1 1) into 1 1.879 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.879 * [taylor]: Taking taylor expansion of phi2 in phi1 1.879 * [backup-simplify]: Simplify phi2 into phi2 1.879 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.879 * [backup-simplify]: Simplify (+ 1 0) into 1 1.880 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.880 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.880 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.880 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1.880 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.880 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.880 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.880 * [backup-simplify]: Simplify 1/2 into 1/2 1.880 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.880 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.880 * [taylor]: Taking taylor expansion of phi1 in phi2 1.880 * [backup-simplify]: Simplify phi1 into phi1 1.880 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.880 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.880 * [taylor]: Taking taylor expansion of phi2 in phi2 1.880 * [backup-simplify]: Simplify 0 into 0 1.880 * [backup-simplify]: Simplify 1 into 1 1.881 * [backup-simplify]: Simplify (/ 1 1) into 1 1.881 * [backup-simplify]: Simplify (+ 0 1) into 1 1.881 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.881 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.881 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.881 * [backup-simplify]: Simplify (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.882 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) 2) (pow (* 1 (* 1 (* 1 (/ 1 (/ 1 lambda1))))) 2)) (+ (* (- (* 2 (pow (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) 2))) (* 1 (* 1 (* (/ 1 (/ 1 lambda2)) (/ 1 (/ 1 lambda1)))))) (* (pow (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) 2) (pow (* 1 (* 1 (* (/ 1 (/ 1 lambda2)) 1))) 2)))) into (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 1.883 * [backup-simplify]: Simplify (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1.883 * [approximate]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in (lambda1 lambda2 phi1 phi2) around 0 1.883 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in phi2 1.883 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1.883 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.883 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.883 * [taylor]: Taking taylor expansion of -1/2 in phi2 1.883 * [backup-simplify]: Simplify -1/2 into -1/2 1.883 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.883 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.883 * [taylor]: Taking taylor expansion of phi1 in phi2 1.883 * [backup-simplify]: Simplify phi1 into phi1 1.883 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.883 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.883 * [taylor]: Taking taylor expansion of phi2 in phi2 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify 1 into 1 1.883 * [backup-simplify]: Simplify (/ 1 1) into 1 1.883 * [backup-simplify]: Simplify (+ 0 1) into 1 1.884 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.884 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.884 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in phi2 1.884 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi2 1.884 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.884 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.884 * [backup-simplify]: Simplify lambda2 into lambda2 1.884 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.884 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.884 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.884 * [backup-simplify]: Simplify lambda1 into lambda1 1.884 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.884 * [backup-simplify]: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1)) 1.884 * [backup-simplify]: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1)) 1.884 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in phi1 1.884 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1.884 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.884 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.884 * [taylor]: Taking taylor expansion of -1/2 in phi1 1.884 * [backup-simplify]: Simplify -1/2 into -1/2 1.884 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.884 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.884 * [taylor]: Taking taylor expansion of phi1 in phi1 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify 1 into 1 1.885 * [backup-simplify]: Simplify (/ 1 1) into 1 1.885 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.885 * [taylor]: Taking taylor expansion of phi2 in phi1 1.885 * [backup-simplify]: Simplify phi2 into phi2 1.885 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.885 * [backup-simplify]: Simplify (+ 1 0) into 1 1.885 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.885 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.885 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in phi1 1.885 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi1 1.885 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.885 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.885 * [backup-simplify]: Simplify lambda2 into lambda2 1.885 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.886 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.886 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.886 * [backup-simplify]: Simplify lambda1 into lambda1 1.886 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.886 * [backup-simplify]: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1)) 1.886 * [backup-simplify]: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1)) 1.886 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in lambda2 1.886 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1.886 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.886 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.886 * [taylor]: Taking taylor expansion of -1/2 in lambda2 1.886 * [backup-simplify]: Simplify -1/2 into -1/2 1.886 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.886 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.886 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.886 * [backup-simplify]: Simplify phi1 into phi1 1.886 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.886 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.886 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.886 * [backup-simplify]: Simplify phi2 into phi2 1.886 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.886 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.886 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.886 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.886 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.886 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.886 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.887 * [backup-simplify]: Simplify (- 0) into 0 1.887 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.887 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in lambda2 1.887 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 1.887 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.887 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.887 * [backup-simplify]: Simplify 0 into 0 1.887 * [backup-simplify]: Simplify 1 into 1 1.887 * [backup-simplify]: Simplify (/ 1 1) into 1 1.887 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.887 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.887 * [backup-simplify]: Simplify lambda1 into lambda1 1.887 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.888 * [backup-simplify]: Simplify (+ 1 0) into 1 1.888 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in lambda1 1.888 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1.888 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1.888 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1.888 * [taylor]: Taking taylor expansion of -1/2 in lambda1 1.888 * [backup-simplify]: Simplify -1/2 into -1/2 1.888 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1.888 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.888 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.888 * [backup-simplify]: Simplify phi1 into phi1 1.888 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.888 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.888 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.888 * [backup-simplify]: Simplify phi2 into phi2 1.888 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.888 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.888 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.888 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.888 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.888 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.888 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.889 * [backup-simplify]: Simplify (- 0) into 0 1.889 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.889 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in lambda1 1.889 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 1.889 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.889 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.889 * [backup-simplify]: Simplify lambda2 into lambda2 1.889 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.889 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.889 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.889 * [backup-simplify]: Simplify 0 into 0 1.889 * [backup-simplify]: Simplify 1 into 1 1.889 * [backup-simplify]: Simplify (/ 1 1) into 1 1.889 * [backup-simplify]: Simplify (- 1) into -1 1.890 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.890 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in lambda1 1.890 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1.890 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1.890 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1.890 * [taylor]: Taking taylor expansion of -1/2 in lambda1 1.890 * [backup-simplify]: Simplify -1/2 into -1/2 1.890 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1.890 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.890 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.890 * [backup-simplify]: Simplify phi1 into phi1 1.890 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.890 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.890 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.890 * [backup-simplify]: Simplify phi2 into phi2 1.890 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.890 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.890 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.890 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.890 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.890 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.890 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.891 * [backup-simplify]: Simplify (- 0) into 0 1.891 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.891 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in lambda1 1.891 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 1.891 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.891 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.891 * [backup-simplify]: Simplify lambda2 into lambda2 1.891 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.891 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.891 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.891 * [backup-simplify]: Simplify 0 into 0 1.891 * [backup-simplify]: Simplify 1 into 1 1.891 * [backup-simplify]: Simplify (/ 1 1) into 1 1.892 * [backup-simplify]: Simplify (- 1) into -1 1.892 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.892 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.892 * [backup-simplify]: Simplify (* -1 -1) into 1 1.892 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.892 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1.893 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.893 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.893 * [taylor]: Taking taylor expansion of -1/2 in lambda2 1.893 * [backup-simplify]: Simplify -1/2 into -1/2 1.893 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.893 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.893 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.893 * [backup-simplify]: Simplify phi1 into phi1 1.893 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.893 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.893 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.893 * [backup-simplify]: Simplify phi2 into phi2 1.893 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.893 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.893 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.893 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.893 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.893 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.893 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.893 * [backup-simplify]: Simplify (- 0) into 0 1.894 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.894 * [backup-simplify]: Simplify (- 0) into 0 1.894 * [backup-simplify]: Simplify (+ (/ 1 lambda2) 0) into (/ 1 lambda2) 1.894 * [backup-simplify]: Simplify (+ (* -1 (/ 1 lambda2)) (* (/ 1 lambda2) -1)) into (- (* 2 (/ 1 lambda2))) 1.895 * [backup-simplify]: Simplify (+ 0) into 0 1.895 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1.895 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.895 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.895 * [backup-simplify]: Simplify (+ 0 0) into 0 1.896 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1.896 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.896 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1.897 * [backup-simplify]: Simplify (- 0) into 0 1.897 * [backup-simplify]: Simplify (+ 0 0) into 0 1.897 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.898 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (- (* 2 (/ 1 lambda2)))) (* 0 1)) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1.898 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) in lambda2 1.898 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) in lambda2 1.898 * [taylor]: Taking taylor expansion of 2 in lambda2 1.898 * [backup-simplify]: Simplify 2 into 2 1.898 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) in lambda2 1.898 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1.898 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.898 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.898 * [taylor]: Taking taylor expansion of -1/2 in lambda2 1.898 * [backup-simplify]: Simplify -1/2 into -1/2 1.898 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.898 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.898 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.898 * [backup-simplify]: Simplify phi1 into phi1 1.898 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.898 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.898 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.898 * [backup-simplify]: Simplify phi2 into phi2 1.898 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.898 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.898 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.898 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.898 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.898 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.898 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.899 * [backup-simplify]: Simplify (- 0) into 0 1.899 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.899 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.899 * [backup-simplify]: Simplify 0 into 0 1.899 * [backup-simplify]: Simplify 1 into 1 1.899 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.899 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.899 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 1.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.900 * [backup-simplify]: Simplify (- 0) into 0 1.900 * [backup-simplify]: Simplify (+ 0 0) into 0 1.901 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 lambda2) (/ 1 lambda2)) (* 0 -1))) into (/ 1 (pow lambda2 2)) 1.901 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.902 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1.902 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.902 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.902 * [backup-simplify]: Simplify (+ 0 0) into 0 1.903 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1.903 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.904 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1.904 * [backup-simplify]: Simplify (- 0) into 0 1.904 * [backup-simplify]: Simplify (+ 0 0) into 0 1.905 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1.905 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 1 (pow lambda2 2))) (+ (* 0 (- (* 2 (/ 1 lambda2)))) (* 0 1))) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1.905 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda2 1.905 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1.905 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.905 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.905 * [taylor]: Taking taylor expansion of -1/2 in lambda2 1.905 * [backup-simplify]: Simplify -1/2 into -1/2 1.905 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.905 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.905 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.905 * [backup-simplify]: Simplify phi1 into phi1 1.905 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.905 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.905 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.905 * [backup-simplify]: Simplify phi2 into phi2 1.905 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.905 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.905 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.906 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.906 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.906 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.906 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.906 * [backup-simplify]: Simplify (- 0) into 0 1.906 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.906 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 1.906 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify 1 into 1 1.906 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.907 * [backup-simplify]: Simplify (* 1 1) into 1 1.907 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.907 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1.907 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.907 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.907 * [taylor]: Taking taylor expansion of -1/2 in phi1 1.907 * [backup-simplify]: Simplify -1/2 into -1/2 1.907 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.907 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.907 * [taylor]: Taking taylor expansion of phi1 in phi1 1.907 * [backup-simplify]: Simplify 0 into 0 1.907 * [backup-simplify]: Simplify 1 into 1 1.907 * [backup-simplify]: Simplify (/ 1 1) into 1 1.907 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.907 * [taylor]: Taking taylor expansion of phi2 in phi1 1.907 * [backup-simplify]: Simplify phi2 into phi2 1.907 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.908 * [backup-simplify]: Simplify (+ 1 0) into 1 1.908 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.908 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.908 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.908 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1.908 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.908 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.908 * [taylor]: Taking taylor expansion of -1/2 in phi2 1.908 * [backup-simplify]: Simplify -1/2 into -1/2 1.908 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.908 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.908 * [taylor]: Taking taylor expansion of phi1 in phi2 1.908 * [backup-simplify]: Simplify phi1 into phi1 1.908 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.908 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.908 * [taylor]: Taking taylor expansion of phi2 in phi2 1.908 * [backup-simplify]: Simplify 0 into 0 1.908 * [backup-simplify]: Simplify 1 into 1 1.909 * [backup-simplify]: Simplify (/ 1 1) into 1 1.909 * [backup-simplify]: Simplify (+ 0 1) into 1 1.909 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.909 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.909 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.909 * [backup-simplify]: Simplify (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.910 * [backup-simplify]: Simplify (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1.910 * [backup-simplify]: Simplify (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) 1.910 * [taylor]: Taking taylor expansion of (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) in phi1 1.910 * [taylor]: Taking taylor expansion of (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 1.910 * [taylor]: Taking taylor expansion of 2 in phi1 1.910 * [backup-simplify]: Simplify 2 into 2 1.910 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1.910 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.910 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.910 * [taylor]: Taking taylor expansion of -1/2 in phi1 1.910 * [backup-simplify]: Simplify -1/2 into -1/2 1.910 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.910 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.910 * [taylor]: Taking taylor expansion of phi1 in phi1 1.910 * [backup-simplify]: Simplify 0 into 0 1.910 * [backup-simplify]: Simplify 1 into 1 1.910 * [backup-simplify]: Simplify (/ 1 1) into 1 1.910 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.910 * [taylor]: Taking taylor expansion of phi2 in phi1 1.910 * [backup-simplify]: Simplify phi2 into phi2 1.910 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.911 * [backup-simplify]: Simplify (+ 1 0) into 1 1.911 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.911 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.911 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.911 * [backup-simplify]: Simplify (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1.911 * [backup-simplify]: Simplify (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) 1.911 * [taylor]: Taking taylor expansion of (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) in phi2 1.911 * [taylor]: Taking taylor expansion of (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2 1.911 * [taylor]: Taking taylor expansion of 2 in phi2 1.911 * [backup-simplify]: Simplify 2 into 2 1.911 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1.911 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.911 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.912 * [taylor]: Taking taylor expansion of -1/2 in phi2 1.912 * [backup-simplify]: Simplify -1/2 into -1/2 1.912 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.912 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.912 * [taylor]: Taking taylor expansion of phi1 in phi2 1.912 * [backup-simplify]: Simplify phi1 into phi1 1.912 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.912 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.912 * [taylor]: Taking taylor expansion of phi2 in phi2 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify 1 into 1 1.912 * [backup-simplify]: Simplify (/ 1 1) into 1 1.912 * [backup-simplify]: Simplify (+ 0 1) into 1 1.912 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.913 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.913 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.913 * [backup-simplify]: Simplify (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1.913 * [backup-simplify]: Simplify (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) 1.913 * [backup-simplify]: Simplify (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) 1.913 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.913 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1.913 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.913 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.913 * [taylor]: Taking taylor expansion of -1/2 in phi1 1.913 * [backup-simplify]: Simplify -1/2 into -1/2 1.913 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.913 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.913 * [taylor]: Taking taylor expansion of phi1 in phi1 1.913 * [backup-simplify]: Simplify 0 into 0 1.913 * [backup-simplify]: Simplify 1 into 1 1.914 * [backup-simplify]: Simplify (/ 1 1) into 1 1.914 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.914 * [taylor]: Taking taylor expansion of phi2 in phi1 1.914 * [backup-simplify]: Simplify phi2 into phi2 1.914 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.914 * [backup-simplify]: Simplify (+ 1 0) into 1 1.914 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.915 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.915 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.915 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1.915 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.915 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.915 * [taylor]: Taking taylor expansion of -1/2 in phi2 1.915 * [backup-simplify]: Simplify -1/2 into -1/2 1.915 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.915 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.915 * [taylor]: Taking taylor expansion of phi1 in phi2 1.915 * [backup-simplify]: Simplify phi1 into phi1 1.915 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.915 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.915 * [taylor]: Taking taylor expansion of phi2 in phi2 1.915 * [backup-simplify]: Simplify 0 into 0 1.915 * [backup-simplify]: Simplify 1 into 1 1.915 * [backup-simplify]: Simplify (/ 1 1) into 1 1.916 * [backup-simplify]: Simplify (+ 0 1) into 1 1.916 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.916 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.916 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.916 * [backup-simplify]: Simplify (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.917 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) 2) (pow (* 1 (* 1 (* 1 (/ 1 (/ 1 (- lambda1)))))) 2)) (+ (* (- (* 2 (pow (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) 2))) (* 1 (* 1 (* (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))))) (* (pow (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) 2) (pow (* 1 (* 1 (* (/ 1 (/ 1 (- lambda2))) 1))) 2)))) into (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 1.917 * * * [progress]: simplifying candidates 1.917 * * * * [progress]: [ 1 / 151 ] simplifiying candidate # 1.917 * * * * [progress]: [ 2 / 151 ] simplifiying candidate # 1.917 * * * * [progress]: [ 3 / 151 ] simplifiying candidate # 1.918 * * * * [progress]: [ 4 / 151 ] simplifiying candidate # 1.918 * * * * [progress]: [ 5 / 151 ] simplifiying candidate # 1.918 * * * * [progress]: [ 6 / 151 ] simplifiying candidate # 1.918 * * * * [progress]: [ 7 / 151 ] simplifiying candidate # 1.918 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) 1.918 * * [simplify]: iters left: 6 (17 enodes) 1.922 * * [simplify]: iters left: 5 (66 enodes) 1.943 * * [simplify]: iters left: 4 (115 enodes) 1.991 * * [simplify]: iters left: 3 (316 enodes) 2.114 * * [simplify]: Extracting #0: cost 1 inf + 0 2.114 * * [simplify]: Extracting #1: cost 4 inf + 0 2.114 * * [simplify]: Extracting #2: cost 7 inf + 0 2.114 * * [simplify]: Extracting #3: cost 23 inf + 0 2.114 * * [simplify]: Extracting #4: cost 149 inf + 0 2.115 * * [simplify]: Extracting #5: cost 208 inf + 44 2.116 * * [simplify]: Extracting #6: cost 204 inf + 2293 2.118 * * [simplify]: Extracting #7: cost 163 inf + 8012 2.128 * * [simplify]: Extracting #8: cost 26 inf + 50766 2.147 * * [simplify]: Extracting #9: cost 0 inf + 58573 2.173 * [simplify]: Simplified to (fabs (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) 2.174 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (fabs (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 2.174 * * * * [progress]: [ 8 / 151 ] simplifiying candidate # 2.174 * [simplify]: Simplifying (sqrt (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) 2.175 * * [simplify]: iters left: 6 (16 enodes) 2.182 * * [simplify]: iters left: 5 (62 enodes) 2.200 * * [simplify]: iters left: 4 (111 enodes) 2.227 * * [simplify]: iters left: 3 (312 enodes) 2.411 * * [simplify]: Extracting #0: cost 1 inf + 0 2.411 * * [simplify]: Extracting #1: cost 3 inf + 0 2.411 * * [simplify]: Extracting #2: cost 5 inf + 0 2.411 * * [simplify]: Extracting #3: cost 21 inf + 0 2.412 * * [simplify]: Extracting #4: cost 139 inf + 0 2.413 * * [simplify]: Extracting #5: cost 199 inf + 44 2.416 * * [simplify]: Extracting #6: cost 199 inf + 1968 2.422 * * [simplify]: Extracting #7: cost 131 inf + 14187 2.441 * * [simplify]: Extracting #8: cost 26 inf + 45686 2.466 * * [simplify]: Extracting #9: cost 0 inf + 55895 2.486 * [simplify]: Simplified to (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) 2.486 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 2.486 * * * * [progress]: [ 9 / 151 ] simplifiying candidate # 2.487 * [simplify]: Simplifying (sqrt 1) 2.487 * * [simplify]: iters left: 1 (2 enodes) 2.488 * * [simplify]: Extracting #0: cost 1 inf + 0 2.488 * * [simplify]: Extracting #1: cost 0 inf + 1 2.488 * [simplify]: Simplified to 1 2.489 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* 1 (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))) 2.489 * * * * [progress]: [ 10 / 151 ] simplifiying candidate # 2.489 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 2.489 * * [simplify]: iters left: 6 (34 enodes) 2.498 * * [simplify]: iters left: 5 (173 enodes) 2.560 * * [simplify]: Extracting #0: cost 1 inf + 0 2.560 * * [simplify]: Extracting #1: cost 3 inf + 0 2.561 * * [simplify]: Extracting #2: cost 6 inf + 0 2.561 * * [simplify]: Extracting #3: cost 60 inf + 0 2.561 * * [simplify]: Extracting #4: cost 168 inf + 0 2.563 * * [simplify]: Extracting #5: cost 241 inf + 0 2.567 * * [simplify]: Extracting #6: cost 200 inf + 15564 2.581 * * [simplify]: Extracting #7: cost 63 inf + 60484 2.594 * * [simplify]: Extracting #8: cost 7 inf + 73587 2.608 * * [simplify]: Extracting #9: cost 0 inf + 76781 2.621 * * [simplify]: Extracting #10: cost 0 inf + 76461 2.645 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 2.645 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 2.646 * * * * [progress]: [ 11 / 151 ] simplifiying candidate # 2.646 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 2.646 * * [simplify]: iters left: 6 (35 enodes) 2.661 * * [simplify]: iters left: 5 (178 enodes) 2.703 * * [simplify]: Extracting #0: cost 1 inf + 0 2.703 * * [simplify]: Extracting #1: cost 3 inf + 0 2.703 * * [simplify]: Extracting #2: cost 6 inf + 0 2.704 * * [simplify]: Extracting #3: cost 58 inf + 0 2.704 * * [simplify]: Extracting #4: cost 172 inf + 0 2.705 * * [simplify]: Extracting #5: cost 235 inf + 85 2.706 * * [simplify]: Extracting #6: cost 191 inf + 15306 2.714 * * [simplify]: Extracting #7: cost 74 inf + 52611 2.728 * * [simplify]: Extracting #8: cost 8 inf + 66818 2.751 * * [simplify]: Extracting #9: cost 0 inf + 71295 2.776 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (* (+ (* (* phi2 (- phi2)) phi2) (* (* phi1 phi1) phi1)) (* phi1 phi1)) (* (+ (* (* phi2 (- phi2)) phi2) (* (* phi1 phi1) phi1)) (* phi2 (- phi2)))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) 2.777 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (* (+ (* (* phi2 (- phi2)) phi2) (* (* phi1 phi1) phi1)) (* phi1 phi1)) (* (+ (* (* phi2 (- phi2)) phi2) (* (* phi1 phi1) phi1)) (* phi2 (- phi2)))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 2.777 * * * * [progress]: [ 12 / 151 ] simplifiying candidate # 2.778 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 2.778 * * [simplify]: iters left: 6 (35 enodes) 2.797 * * [simplify]: iters left: 5 (178 enodes) 2.848 * * [simplify]: Extracting #0: cost 1 inf + 0 2.848 * * [simplify]: Extracting #1: cost 3 inf + 0 2.848 * * [simplify]: Extracting #2: cost 6 inf + 0 2.848 * * [simplify]: Extracting #3: cost 60 inf + 0 2.849 * * [simplify]: Extracting #4: cost 170 inf + 0 2.850 * * [simplify]: Extracting #5: cost 230 inf + 166 2.853 * * [simplify]: Extracting #6: cost 178 inf + 14825 2.867 * * [simplify]: Extracting #7: cost 44 inf + 55372 2.890 * * [simplify]: Extracting #8: cost 5 inf + 67005 2.911 * * [simplify]: Extracting #9: cost 0 inf + 68927 2.924 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* phi1 phi1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) 2.924 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* phi1 phi1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 2.924 * * * * [progress]: [ 13 / 151 ] simplifiying candidate # 2.924 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 2.924 * * [simplify]: iters left: 6 (29 enodes) 2.932 * * [simplify]: iters left: 5 (146 enodes) 2.994 * * [simplify]: iters left: 4 (476 enodes) 3.357 * * [simplify]: Extracting #0: cost 1 inf + 0 3.357 * * [simplify]: Extracting #1: cost 3 inf + 0 3.357 * * [simplify]: Extracting #2: cost 20 inf + 0 3.357 * * [simplify]: Extracting #3: cost 282 inf + 0 3.360 * * [simplify]: Extracting #4: cost 726 inf + 742 3.373 * * [simplify]: Extracting #5: cost 770 inf + 17733 3.405 * * [simplify]: Extracting #6: cost 517 inf + 82722 3.446 * * [simplify]: Extracting #7: cost 303 inf + 151104 3.537 * * [simplify]: Extracting #8: cost 65 inf + 252147 3.629 * * [simplify]: Extracting #9: cost 1 inf + 285337 3.754 * * [simplify]: Extracting #10: cost 0 inf + 285762 3.841 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2))))) 3.841 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 3.842 * * * * [progress]: [ 14 / 151 ] simplifiying candidate # 3.842 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 3.843 * * [simplify]: iters left: 6 (34 enodes) 3.860 * * [simplify]: iters left: 5 (170 enodes) 3.906 * * [simplify]: Extracting #0: cost 1 inf + 0 3.906 * * [simplify]: Extracting #1: cost 3 inf + 0 3.906 * * [simplify]: Extracting #2: cost 10 inf + 0 3.907 * * [simplify]: Extracting #3: cost 78 inf + 0 3.907 * * [simplify]: Extracting #4: cost 160 inf + 42 3.908 * * [simplify]: Extracting #5: cost 207 inf + 207 3.912 * * [simplify]: Extracting #6: cost 166 inf + 14735 3.927 * * [simplify]: Extracting #7: cost 33 inf + 63686 3.950 * * [simplify]: Extracting #8: cost 1 inf + 64060 3.972 * * [simplify]: Extracting #9: cost 0 inf + 64112 3.995 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) 3.995 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 3.996 * * * * [progress]: [ 15 / 151 ] simplifiying candidate # 3.996 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 3.996 * * [simplify]: iters left: 6 (29 enodes) 4.012 * * [simplify]: iters left: 5 (142 enodes) 4.054 * * [simplify]: iters left: 4 (432 enodes) 4.297 * * [simplify]: Extracting #0: cost 1 inf + 0 4.297 * * [simplify]: Extracting #1: cost 3 inf + 0 4.297 * * [simplify]: Extracting #2: cost 15 inf + 0 4.297 * * [simplify]: Extracting #3: cost 195 inf + 0 4.304 * * [simplify]: Extracting #4: cost 515 inf + 87 4.314 * * [simplify]: Extracting #5: cost 632 inf + 21089 4.339 * * [simplify]: Extracting #6: cost 283 inf + 117143 4.390 * * [simplify]: Extracting #7: cost 209 inf + 136236 4.458 * * [simplify]: Extracting #8: cost 81 inf + 191013 4.529 * * [simplify]: Extracting #9: cost 4 inf + 230272 4.618 * * [simplify]: Extracting #10: cost 1 inf + 232587 4.697 * * [simplify]: Extracting #11: cost 0 inf + 233452 4.763 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) 4.763 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) 4.763 * * * * [progress]: [ 16 / 151 ] simplifiying candidate # 4.763 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 4.764 * * [simplify]: iters left: 6 (34 enodes) 4.773 * * [simplify]: iters left: 5 (170 enodes) 4.841 * * [simplify]: Extracting #0: cost 1 inf + 0 4.841 * * [simplify]: Extracting #1: cost 3 inf + 0 4.841 * * [simplify]: Extracting #2: cost 10 inf + 0 4.842 * * [simplify]: Extracting #3: cost 78 inf + 0 4.842 * * [simplify]: Extracting #4: cost 160 inf + 42 4.843 * * [simplify]: Extracting #5: cost 207 inf + 207 4.846 * * [simplify]: Extracting #6: cost 166 inf + 14947 4.862 * * [simplify]: Extracting #7: cost 31 inf + 64720 4.878 * * [simplify]: Extracting #8: cost 1 inf + 64620 4.890 * * [simplify]: Extracting #9: cost 0 inf + 64752 4.902 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 4.902 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 4.902 * * * * [progress]: [ 17 / 151 ] simplifiying candidate # 4.902 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 4.902 * * [simplify]: iters left: 6 (29 enodes) 4.910 * * [simplify]: iters left: 5 (142 enodes) 4.965 * * [simplify]: iters left: 4 (432 enodes) 5.237 * * [simplify]: Extracting #0: cost 1 inf + 0 5.237 * * [simplify]: Extracting #1: cost 3 inf + 0 5.237 * * [simplify]: Extracting #2: cost 15 inf + 0 5.238 * * [simplify]: Extracting #3: cost 197 inf + 0 5.240 * * [simplify]: Extracting #4: cost 523 inf + 128 5.247 * * [simplify]: Extracting #5: cost 683 inf + 5697 5.262 * * [simplify]: Extracting #6: cost 530 inf + 35960 5.307 * * [simplify]: Extracting #7: cost 270 inf + 116504 5.395 * * [simplify]: Extracting #8: cost 54 inf + 209065 5.465 * * [simplify]: Extracting #9: cost 2 inf + 234344 5.516 * * [simplify]: Extracting #10: cost 0 inf + 235954 5.584 * * [simplify]: Extracting #11: cost 0 inf + 235914 5.635 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) 5.635 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) 5.636 * * * * [progress]: [ 18 / 151 ] simplifiying candidate # 5.636 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 5.636 * * [simplify]: iters left: 6 (37 enodes) 5.646 * * [simplify]: iters left: 5 (182 enodes) 5.725 * * [simplify]: Extracting #0: cost 1 inf + 0 5.725 * * [simplify]: Extracting #1: cost 3 inf + 0 5.725 * * [simplify]: Extracting #2: cost 6 inf + 0 5.725 * * [simplify]: Extracting #3: cost 56 inf + 0 5.725 * * [simplify]: Extracting #4: cost 166 inf + 0 5.726 * * [simplify]: Extracting #5: cost 231 inf + 44 5.727 * * [simplify]: Extracting #6: cost 190 inf + 12089 5.734 * * [simplify]: Extracting #7: cost 64 inf + 47883 5.746 * * [simplify]: Extracting #8: cost 2 inf + 73701 5.770 * * [simplify]: Extracting #9: cost 0 inf + 74618 5.796 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) 5.796 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 5.797 * * * * [progress]: [ 19 / 151 ] simplifiying candidate # 5.797 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 5.798 * * [simplify]: iters left: 6 (38 enodes) 5.822 * * [simplify]: iters left: 5 (191 enodes) 5.907 * * [simplify]: Extracting #0: cost 1 inf + 0 5.907 * * [simplify]: Extracting #1: cost 3 inf + 0 5.907 * * [simplify]: Extracting #2: cost 6 inf + 0 5.907 * * [simplify]: Extracting #3: cost 60 inf + 0 5.908 * * [simplify]: Extracting #4: cost 189 inf + 0 5.910 * * [simplify]: Extracting #5: cost 232 inf + 1029 5.915 * * [simplify]: Extracting #6: cost 133 inf + 17447 5.930 * * [simplify]: Extracting #7: cost 53 inf + 47217 5.952 * * [simplify]: Extracting #8: cost 5 inf + 69656 5.980 * * [simplify]: Extracting #9: cost 1 inf + 71690 6.004 * * [simplify]: Extracting #10: cost 0 inf + 72915 6.022 * [simplify]: Simplified to (sqrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 6.022 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 6.023 * * * * [progress]: [ 20 / 151 ] simplifiying candidate # 6.023 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 6.023 * * [simplify]: iters left: 6 (38 enodes) 6.033 * * [simplify]: iters left: 5 (191 enodes) 6.081 * * [simplify]: Extracting #0: cost 1 inf + 0 6.082 * * [simplify]: Extracting #1: cost 3 inf + 0 6.082 * * [simplify]: Extracting #2: cost 6 inf + 0 6.082 * * [simplify]: Extracting #3: cost 62 inf + 0 6.083 * * [simplify]: Extracting #4: cost 187 inf + 0 6.084 * * [simplify]: Extracting #5: cost 226 inf + 1393 6.090 * * [simplify]: Extracting #6: cost 142 inf + 13891 6.103 * * [simplify]: Extracting #7: cost 72 inf + 39771 6.126 * * [simplify]: Extracting #8: cost 6 inf + 67943 6.149 * * [simplify]: Extracting #9: cost 0 inf + 70387 6.173 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 6.174 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 6.174 * * * * [progress]: [ 21 / 151 ] simplifiying candidate # 6.175 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 6.175 * * [simplify]: iters left: 6 (32 enodes) 6.191 * * [simplify]: iters left: 5 (155 enodes) 6.226 * * [simplify]: iters left: 4 (464 enodes) 6.508 * * [simplify]: Extracting #0: cost 1 inf + 0 6.508 * * [simplify]: Extracting #1: cost 3 inf + 0 6.508 * * [simplify]: Extracting #2: cost 20 inf + 0 6.509 * * [simplify]: Extracting #3: cost 271 inf + 0 6.512 * * [simplify]: Extracting #4: cost 679 inf + 541 6.525 * * [simplify]: Extracting #5: cost 616 inf + 27466 6.565 * * [simplify]: Extracting #6: cost 386 inf + 90951 6.612 * * [simplify]: Extracting #7: cost 324 inf + 110707 6.685 * * [simplify]: Extracting #8: cost 107 inf + 199382 6.788 * * [simplify]: Extracting #9: cost 5 inf + 248804 6.897 * * [simplify]: Extracting #10: cost 0 inf + 251609 7.003 * [simplify]: Simplified to (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1))))) 7.003 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) 7.003 * * * * [progress]: [ 22 / 151 ] simplifiying candidate # 7.004 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 7.004 * * [simplify]: iters left: 6 (37 enodes) 7.017 * * [simplify]: iters left: 5 (183 enodes) 7.079 * * [simplify]: Extracting #0: cost 1 inf + 0 7.079 * * [simplify]: Extracting #1: cost 3 inf + 0 7.079 * * [simplify]: Extracting #2: cost 10 inf + 0 7.079 * * [simplify]: Extracting #3: cost 78 inf + 0 7.080 * * [simplify]: Extracting #4: cost 176 inf + 1 7.081 * * [simplify]: Extracting #5: cost 212 inf + 334 7.084 * * [simplify]: Extracting #6: cost 163 inf + 12709 7.097 * * [simplify]: Extracting #7: cost 53 inf + 46819 7.107 * * [simplify]: Extracting #8: cost 7 inf + 62671 7.119 * * [simplify]: Extracting #9: cost 1 inf + 66902 7.141 * * [simplify]: Extracting #10: cost 0 inf + 68127 7.165 * [simplify]: Simplified to (sqrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) 7.165 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 7.165 * * * * [progress]: [ 23 / 151 ] simplifiying candidate # 7.166 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 7.166 * * [simplify]: iters left: 6 (32 enodes) 7.178 * * [simplify]: iters left: 5 (155 enodes) 7.220 * * [simplify]: iters left: 4 (457 enodes) 7.525 * * [simplify]: Extracting #0: cost 1 inf + 0 7.525 * * [simplify]: Extracting #1: cost 3 inf + 0 7.525 * * [simplify]: Extracting #2: cost 14 inf + 0 7.526 * * [simplify]: Extracting #3: cost 237 inf + 0 7.527 * * [simplify]: Extracting #4: cost 632 inf + 128 7.535 * * [simplify]: Extracting #5: cost 680 inf + 12534 7.561 * * [simplify]: Extracting #6: cost 423 inf + 81039 7.587 * * [simplify]: Extracting #7: cost 271 inf + 125473 7.644 * * [simplify]: Extracting #8: cost 51 inf + 217005 7.711 * * [simplify]: Extracting #9: cost 0 inf + 242863 7.777 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (cos (/ (+ phi2 phi1) 2))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) 7.777 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (cos (/ (+ phi2 phi1) 2))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) 7.777 * * * * [progress]: [ 24 / 151 ] simplifiying candidate # 7.778 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 7.778 * * [simplify]: iters left: 6 (37 enodes) 7.787 * * [simplify]: iters left: 5 (183 enodes) 7.852 * * [simplify]: Extracting #0: cost 1 inf + 0 7.853 * * [simplify]: Extracting #1: cost 3 inf + 0 7.853 * * [simplify]: Extracting #2: cost 10 inf + 0 7.853 * * [simplify]: Extracting #3: cost 78 inf + 0 7.854 * * [simplify]: Extracting #4: cost 176 inf + 1 7.855 * * [simplify]: Extracting #5: cost 215 inf + 170 7.858 * * [simplify]: Extracting #6: cost 166 inf + 13436 7.872 * * [simplify]: Extracting #7: cost 45 inf + 55066 7.893 * * [simplify]: Extracting #8: cost 8 inf + 63061 7.917 * * [simplify]: Extracting #9: cost 1 inf + 67782 7.941 * * [simplify]: Extracting #10: cost 0 inf + 69007 7.967 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) 7.967 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 7.968 * * * * [progress]: [ 25 / 151 ] simplifiying candidate # 7.968 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 7.969 * * [simplify]: iters left: 6 (32 enodes) 7.983 * * [simplify]: iters left: 5 (155 enodes) 8.015 * * [simplify]: iters left: 4 (457 enodes) 8.335 * * [simplify]: Extracting #0: cost 1 inf + 0 8.335 * * [simplify]: Extracting #1: cost 3 inf + 0 8.335 * * [simplify]: Extracting #2: cost 14 inf + 0 8.336 * * [simplify]: Extracting #3: cost 234 inf + 0 8.337 * * [simplify]: Extracting #4: cost 640 inf + 45 8.346 * * [simplify]: Extracting #5: cost 707 inf + 8507 8.359 * * [simplify]: Extracting #6: cost 477 inf + 63804 8.400 * * [simplify]: Extracting #7: cost 281 inf + 124684 8.486 * * [simplify]: Extracting #8: cost 63 inf + 217009 8.585 * * [simplify]: Extracting #9: cost 0 inf + 248513 8.664 * [simplify]: Simplified to (sqrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))) 8.664 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) 8.665 * * * * [progress]: [ 26 / 151 ] simplifiying candidate # 8.665 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 8.665 * * [simplify]: iters left: 6 (37 enodes) 8.677 * * [simplify]: iters left: 5 (182 enodes) 8.732 * * [simplify]: Extracting #0: cost 1 inf + 0 8.732 * * [simplify]: Extracting #1: cost 3 inf + 0 8.732 * * [simplify]: Extracting #2: cost 6 inf + 0 8.732 * * [simplify]: Extracting #3: cost 56 inf + 0 8.732 * * [simplify]: Extracting #4: cost 162 inf + 0 8.733 * * [simplify]: Extracting #5: cost 218 inf + 370 8.734 * * [simplify]: Extracting #6: cost 179 inf + 5338 8.738 * * [simplify]: Extracting #7: cost 98 inf + 24016 8.747 * * [simplify]: Extracting #8: cost 27 inf + 55111 8.767 * * [simplify]: Extracting #9: cost 0 inf + 71370 8.786 * [simplify]: Simplified to (sqrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (+ lambda1 lambda2)))) 8.787 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (+ lambda1 lambda2)))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 8.787 * * * * [progress]: [ 27 / 151 ] simplifiying candidate # 8.787 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 8.787 * * [simplify]: iters left: 6 (38 enodes) 8.797 * * [simplify]: iters left: 5 (191 enodes) 8.871 * * [simplify]: Extracting #0: cost 1 inf + 0 8.871 * * [simplify]: Extracting #1: cost 3 inf + 0 8.871 * * [simplify]: Extracting #2: cost 6 inf + 0 8.872 * * [simplify]: Extracting #3: cost 60 inf + 0 8.872 * * [simplify]: Extracting #4: cost 185 inf + 0 8.874 * * [simplify]: Extracting #5: cost 220 inf + 1235 8.879 * * [simplify]: Extracting #6: cost 132 inf + 15760 8.889 * * [simplify]: Extracting #7: cost 57 inf + 42966 8.901 * * [simplify]: Extracting #8: cost 5 inf + 69821 8.915 * * [simplify]: Extracting #9: cost 1 inf + 71682 8.943 * * [simplify]: Extracting #10: cost 0 inf + 72907 8.956 * [simplify]: Simplified to (sqrt (+ (* (+ phi1 phi2) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (- (* phi1 phi1) (* phi2 phi2))))) 8.957 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ phi1 phi2) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (- (* phi1 phi1) (* phi2 phi2))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 8.957 * * * * [progress]: [ 28 / 151 ] simplifiying candidate # 8.957 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 8.957 * * [simplify]: iters left: 6 (38 enodes) 8.968 * * [simplify]: iters left: 5 (191 enodes) 9.018 * * [simplify]: Extracting #0: cost 1 inf + 0 9.018 * * [simplify]: Extracting #1: cost 3 inf + 0 9.018 * * [simplify]: Extracting #2: cost 6 inf + 0 9.018 * * [simplify]: Extracting #3: cost 62 inf + 0 9.019 * * [simplify]: Extracting #4: cost 183 inf + 0 9.020 * * [simplify]: Extracting #5: cost 224 inf + 701 9.025 * * [simplify]: Extracting #6: cost 166 inf + 13650 9.046 * * [simplify]: Extracting #7: cost 60 inf + 48793 9.069 * * [simplify]: Extracting #8: cost 3 inf + 67325 9.093 * * [simplify]: Extracting #9: cost 0 inf + 70139 9.117 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) 9.118 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 9.118 * * * * [progress]: [ 29 / 151 ] simplifiying candidate # 9.119 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 9.119 * * [simplify]: iters left: 6 (32 enodes) 9.136 * * [simplify]: iters left: 5 (155 enodes) 9.176 * * [simplify]: iters left: 4 (462 enodes) 9.437 * * [simplify]: Extracting #0: cost 1 inf + 0 9.437 * * [simplify]: Extracting #1: cost 3 inf + 0 9.437 * * [simplify]: Extracting #2: cost 20 inf + 0 9.437 * * [simplify]: Extracting #3: cost 284 inf + 0 9.439 * * [simplify]: Extracting #4: cost 672 inf + 1062 9.444 * * [simplify]: Extracting #5: cost 674 inf + 19343 9.468 * * [simplify]: Extracting #6: cost 467 inf + 69174 9.518 * * [simplify]: Extracting #7: cost 229 inf + 151642 9.607 * * [simplify]: Extracting #8: cost 17 inf + 250348 9.705 * * [simplify]: Extracting #9: cost 0 inf + 259701 9.807 * [simplify]: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2))))) 9.807 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 9.807 * * * * [progress]: [ 30 / 151 ] simplifiying candidate # 9.808 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 9.808 * * [simplify]: iters left: 6 (37 enodes) 9.833 * * [simplify]: iters left: 5 (183 enodes) 9.911 * * [simplify]: Extracting #0: cost 1 inf + 0 9.911 * * [simplify]: Extracting #1: cost 3 inf + 0 9.912 * * [simplify]: Extracting #2: cost 10 inf + 0 9.912 * * [simplify]: Extracting #3: cost 78 inf + 0 9.912 * * [simplify]: Extracting #4: cost 172 inf + 1 9.914 * * [simplify]: Extracting #5: cost 198 inf + 742 9.917 * * [simplify]: Extracting #6: cost 147 inf + 9265 9.929 * * [simplify]: Extracting #7: cost 54 inf + 39624 9.949 * * [simplify]: Extracting #8: cost 8 inf + 59667 9.974 * * [simplify]: Extracting #9: cost 1 inf + 64374 9.996 * * [simplify]: Extracting #10: cost 0 inf + 65559 10.018 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) 10.018 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 10.019 * * * * [progress]: [ 31 / 151 ] simplifiying candidate # 10.019 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 10.019 * * [simplify]: iters left: 6 (32 enodes) 10.035 * * [simplify]: iters left: 5 (155 enodes) 10.087 * * [simplify]: iters left: 4 (455 enodes) 10.348 * * [simplify]: Extracting #0: cost 1 inf + 0 10.348 * * [simplify]: Extracting #1: cost 3 inf + 0 10.348 * * [simplify]: Extracting #2: cost 14 inf + 0 10.349 * * [simplify]: Extracting #3: cost 233 inf + 0 10.352 * * [simplify]: Extracting #4: cost 605 inf + 127 10.365 * * [simplify]: Extracting #5: cost 629 inf + 25142 10.390 * * [simplify]: Extracting #6: cost 367 inf + 89096 10.440 * * [simplify]: Extracting #7: cost 199 inf + 150890 10.513 * * [simplify]: Extracting #8: cost 17 inf + 232991 10.606 * * [simplify]: Extracting #9: cost 0 inf + 241868 10.683 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) 10.683 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) 10.683 * * * * [progress]: [ 32 / 151 ] simplifiying candidate # 10.684 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 10.684 * * [simplify]: iters left: 6 (37 enodes) 10.705 * * [simplify]: iters left: 5 (183 enodes) 10.763 * * [simplify]: Extracting #0: cost 1 inf + 0 10.763 * * [simplify]: Extracting #1: cost 3 inf + 0 10.763 * * [simplify]: Extracting #2: cost 10 inf + 0 10.763 * * [simplify]: Extracting #3: cost 78 inf + 0 10.764 * * [simplify]: Extracting #4: cost 172 inf + 1 10.765 * * [simplify]: Extracting #5: cost 198 inf + 663 10.768 * * [simplify]: Extracting #6: cost 142 inf + 10199 10.783 * * [simplify]: Extracting #7: cost 39 inf + 47914 10.804 * * [simplify]: Extracting #8: cost 3 inf + 65030 10.820 * * [simplify]: Extracting #9: cost 0 inf + 66399 10.831 * * [simplify]: Extracting #10: cost 0 inf + 66359 10.849 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) 10.850 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 10.850 * * * * [progress]: [ 33 / 151 ] simplifiying candidate # 10.850 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 10.851 * * [simplify]: iters left: 6 (32 enodes) 10.867 * * [simplify]: iters left: 5 (155 enodes) 10.928 * * [simplify]: iters left: 4 (455 enodes) 11.199 * * [simplify]: Extracting #0: cost 1 inf + 0 11.199 * * [simplify]: Extracting #1: cost 3 inf + 0 11.199 * * [simplify]: Extracting #2: cost 14 inf + 0 11.200 * * [simplify]: Extracting #3: cost 227 inf + 0 11.203 * * [simplify]: Extracting #4: cost 610 inf + 44 11.213 * * [simplify]: Extracting #5: cost 659 inf + 17602 11.245 * * [simplify]: Extracting #6: cost 400 inf + 80897 11.310 * * [simplify]: Extracting #7: cost 206 inf + 148095 11.371 * * [simplify]: Extracting #8: cost 18 inf + 234351 11.437 * * [simplify]: Extracting #9: cost 0 inf + 242165 11.503 * [simplify]: Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))) 11.503 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) 11.503 * * * * [progress]: [ 34 / 151 ] simplifiying candidate # 11.503 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 11.503 * * [simplify]: iters left: 6 (30 enodes) 11.513 * * [simplify]: iters left: 5 (149 enodes) 11.555 * * [simplify]: iters left: 4 (490 enodes) 12.017 * * [simplify]: Extracting #0: cost 1 inf + 0 12.017 * * [simplify]: Extracting #1: cost 3 inf + 0 12.018 * * [simplify]: Extracting #2: cost 24 inf + 0 12.018 * * [simplify]: Extracting #3: cost 331 inf + 0 12.022 * * [simplify]: Extracting #4: cost 925 inf + 2236 12.034 * * [simplify]: Extracting #5: cost 794 inf + 50286 12.071 * * [simplify]: Extracting #6: cost 543 inf + 120259 12.119 * * [simplify]: Extracting #7: cost 352 inf + 195129 12.258 * * [simplify]: Extracting #8: cost 26 inf + 345467 12.387 * * [simplify]: Extracting #9: cost 0 inf + 359035 12.485 * * [simplify]: Extracting #10: cost 0 inf + 358875 12.565 * [simplify]: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) 12.565 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 12.565 * * * * [progress]: [ 35 / 151 ] simplifiying candidate # 12.565 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 12.566 * * [simplify]: iters left: 6 (31 enodes) 12.579 * * [simplify]: iters left: 5 (154 enodes) 12.647 * * [simplify]: iters left: 4 (484 enodes) 12.977 * * [simplify]: Extracting #0: cost 1 inf + 0 12.977 * * [simplify]: Extracting #1: cost 3 inf + 0 12.978 * * [simplify]: Extracting #2: cost 20 inf + 0 12.978 * * [simplify]: Extracting #3: cost 331 inf + 0 12.980 * * [simplify]: Extracting #4: cost 822 inf + 253 12.992 * * [simplify]: Extracting #5: cost 906 inf + 17938 13.028 * * [simplify]: Extracting #6: cost 590 inf + 95476 13.084 * * [simplify]: Extracting #7: cost 310 inf + 195049 13.197 * * [simplify]: Extracting #8: cost 23 inf + 327440 13.326 * * [simplify]: Extracting #9: cost 0 inf + 337242 13.445 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) 13.445 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 13.446 * * * * [progress]: [ 36 / 151 ] simplifiying candidate # 13.446 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 13.447 * * [simplify]: iters left: 6 (31 enodes) 13.464 * * [simplify]: iters left: 5 (154 enodes) 13.523 * * [simplify]: iters left: 4 (482 enodes) 13.943 * * [simplify]: Extracting #0: cost 1 inf + 0 13.944 * * [simplify]: Extracting #1: cost 3 inf + 0 13.944 * * [simplify]: Extracting #2: cost 24 inf + 0 13.944 * * [simplify]: Extracting #3: cost 370 inf + 0 13.947 * * [simplify]: Extracting #4: cost 838 inf + 1477 13.965 * * [simplify]: Extracting #5: cost 703 inf + 55692 14.006 * * [simplify]: Extracting #6: cost 467 inf + 122035 14.050 * * [simplify]: Extracting #7: cost 298 inf + 180697 14.113 * * [simplify]: Extracting #8: cost 16 inf + 305830 14.229 * * [simplify]: Extracting #9: cost 0 inf + 312790 14.322 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) 14.322 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 14.323 * * * * [progress]: [ 37 / 151 ] simplifiying candidate # 14.323 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 14.323 * * [simplify]: iters left: 6 (24 enodes) 14.329 * * [simplify]: iters left: 5 (117 enodes) 14.360 * * [simplify]: iters left: 4 (388 enodes) 14.643 * * [simplify]: Extracting #0: cost 1 inf + 0 14.643 * * [simplify]: Extracting #1: cost 3 inf + 0 14.644 * * [simplify]: Extracting #2: cost 20 inf + 0 14.644 * * [simplify]: Extracting #3: cost 248 inf + 0 14.648 * * [simplify]: Extracting #4: cost 637 inf + 1109 14.666 * * [simplify]: Extracting #5: cost 543 inf + 29814 14.690 * * [simplify]: Extracting #6: cost 351 inf + 68571 14.716 * * [simplify]: Extracting #7: cost 204 inf + 114827 14.773 * * [simplify]: Extracting #8: cost 4 inf + 186254 14.826 * * [simplify]: Extracting #9: cost 0 inf + 187994 14.913 * * [simplify]: Extracting #10: cost 0 inf + 187954 14.968 * [simplify]: Simplified to (sqrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) 14.968 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) 14.968 * * * * [progress]: [ 38 / 151 ] simplifiying candidate # 14.968 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 14.968 * * [simplify]: iters left: 6 (30 enodes) 14.976 * * [simplify]: iters left: 5 (146 enodes) 15.022 * * [simplify]: iters left: 4 (429 enodes) 15.312 * * [simplify]: Extracting #0: cost 1 inf + 0 15.312 * * [simplify]: Extracting #1: cost 3 inf + 0 15.312 * * [simplify]: Extracting #2: cost 19 inf + 0 15.313 * * [simplify]: Extracting #3: cost 263 inf + 0 15.315 * * [simplify]: Extracting #4: cost 666 inf + 496 15.320 * * [simplify]: Extracting #5: cost 659 inf + 21500 15.337 * * [simplify]: Extracting #6: cost 422 inf + 79356 15.380 * * [simplify]: Extracting #7: cost 246 inf + 141225 15.435 * * [simplify]: Extracting #8: cost 21 inf + 232870 15.537 * * [simplify]: Extracting #9: cost 0 inf + 242552 15.613 * * [simplify]: Extracting #10: cost 0 inf + 242512 15.673 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ lambda1 lambda2)) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) 15.673 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ lambda1 lambda2)) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 15.673 * * * * [progress]: [ 39 / 151 ] simplifiying candidate # 15.673 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 15.674 * * [simplify]: iters left: 6 (24 enodes) 15.681 * * [simplify]: iters left: 5 (113 enodes) 15.712 * * [simplify]: iters left: 4 (344 enodes) 15.893 * * [simplify]: Extracting #0: cost 1 inf + 0 15.894 * * [simplify]: Extracting #1: cost 3 inf + 0 15.894 * * [simplify]: Extracting #2: cost 14 inf + 0 15.894 * * [simplify]: Extracting #3: cost 204 inf + 0 15.897 * * [simplify]: Extracting #4: cost 514 inf + 371 15.906 * * [simplify]: Extracting #5: cost 469 inf + 22354 15.925 * * [simplify]: Extracting #6: cost 156 inf + 95639 15.970 * * [simplify]: Extracting #7: cost 5 inf + 153528 16.020 * * [simplify]: Extracting #8: cost 0 inf + 155251 16.065 * [simplify]: Simplified to (sqrt (+ (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) 16.065 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) 16.065 * * * * [progress]: [ 40 / 151 ] simplifiying candidate # 16.066 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 16.066 * * [simplify]: iters left: 6 (30 enodes) 16.075 * * [simplify]: iters left: 5 (146 enodes) 16.126 * * [simplify]: iters left: 4 (429 enodes) 16.376 * * [simplify]: Extracting #0: cost 1 inf + 0 16.376 * * [simplify]: Extracting #1: cost 3 inf + 0 16.376 * * [simplify]: Extracting #2: cost 19 inf + 0 16.377 * * [simplify]: Extracting #3: cost 247 inf + 0 16.381 * * [simplify]: Extracting #4: cost 626 inf + 334 16.388 * * [simplify]: Extracting #5: cost 651 inf + 20467 16.403 * * [simplify]: Extracting #6: cost 432 inf + 70944 16.441 * * [simplify]: Extracting #7: cost 279 inf + 123539 16.507 * * [simplify]: Extracting #8: cost 18 inf + 231652 16.608 * * [simplify]: Extracting #9: cost 0 inf + 239725 16.706 * * [simplify]: Extracting #10: cost 0 inf + 239685 16.770 * [simplify]: Simplified to (sqrt (+ (* (- phi1 phi2) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) 16.771 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- phi1 phi2) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 16.771 * * * * [progress]: [ 41 / 151 ] simplifiying candidate # 16.771 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 16.771 * * [simplify]: iters left: 6 (24 enodes) 16.777 * * [simplify]: iters left: 5 (113 enodes) 16.805 * * [simplify]: iters left: 4 (344 enodes) 17.039 * * [simplify]: Extracting #0: cost 1 inf + 0 17.039 * * [simplify]: Extracting #1: cost 3 inf + 0 17.039 * * [simplify]: Extracting #2: cost 14 inf + 0 17.040 * * [simplify]: Extracting #3: cost 202 inf + 0 17.043 * * [simplify]: Extracting #4: cost 514 inf + 615 17.053 * * [simplify]: Extracting #5: cost 460 inf + 23934 17.089 * * [simplify]: Extracting #6: cost 160 inf + 95598 17.150 * * [simplify]: Extracting #7: cost 7 inf + 152557 17.198 * * [simplify]: Extracting #8: cost 0 inf + 155369 17.250 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) 17.250 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) 17.250 * * * * [progress]: [ 42 / 151 ] simplifiying candidate # 17.251 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 17.251 * * [simplify]: iters left: 6 (35 enodes) 17.261 * * [simplify]: iters left: 5 (165 enodes) 17.314 * * [simplify]: iters left: 4 (469 enodes) 17.707 * * [simplify]: Extracting #0: cost 1 inf + 0 17.707 * * [simplify]: Extracting #1: cost 3 inf + 0 17.707 * * [simplify]: Extracting #2: cost 30 inf + 0 17.708 * * [simplify]: Extracting #3: cost 323 inf + 0 17.711 * * [simplify]: Extracting #4: cost 776 inf + 782 17.721 * * [simplify]: Extracting #5: cost 687 inf + 50669 17.743 * * [simplify]: Extracting #6: cost 497 inf + 111740 17.789 * * [simplify]: Extracting #7: cost 203 inf + 251769 17.921 * * [simplify]: Extracting #8: cost 3 inf + 356997 18.015 * * [simplify]: Extracting #9: cost 0 inf + 359512 18.127 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) 18.127 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 18.128 * * * * [progress]: [ 43 / 151 ] simplifiying candidate # 18.128 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 18.128 * * [simplify]: iters left: 6 (36 enodes) 18.146 * * [simplify]: iters left: 5 (174 enodes) 18.185 * * [simplify]: Extracting #0: cost 1 inf + 0 18.185 * * [simplify]: Extracting #1: cost 3 inf + 0 18.185 * * [simplify]: Extracting #2: cost 6 inf + 0 18.185 * * [simplify]: Extracting #3: cost 59 inf + 0 18.186 * * [simplify]: Extracting #4: cost 164 inf + 0 18.186 * * [simplify]: Extracting #5: cost 198 inf + 293 18.189 * * [simplify]: Extracting #6: cost 159 inf + 10851 18.195 * * [simplify]: Extracting #7: cost 65 inf + 44942 18.205 * * [simplify]: Extracting #8: cost 9 inf + 60296 18.226 * * [simplify]: Extracting #9: cost 1 inf + 65221 18.246 * * [simplify]: Extracting #10: cost 0 inf + 66406 18.269 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))) 18.269 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 18.270 * * * * [progress]: [ 44 / 151 ] simplifiying candidate # 18.270 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 18.270 * * [simplify]: iters left: 6 (36 enodes) 18.288 * * [simplify]: iters left: 5 (174 enodes) 18.335 * * [simplify]: Extracting #0: cost 1 inf + 0 18.335 * * [simplify]: Extracting #1: cost 3 inf + 0 18.335 * * [simplify]: Extracting #2: cost 6 inf + 0 18.335 * * [simplify]: Extracting #3: cost 61 inf + 0 18.336 * * [simplify]: Extracting #4: cost 162 inf + 0 18.336 * * [simplify]: Extracting #5: cost 193 inf + 376 18.339 * * [simplify]: Extracting #6: cost 149 inf + 9037 18.353 * * [simplify]: Extracting #7: cost 43 inf + 44092 18.363 * * [simplify]: Extracting #8: cost 4 inf + 62497 18.376 * * [simplify]: Extracting #9: cost 0 inf + 64078 18.387 * * [simplify]: Extracting #10: cost 0 inf + 64038 18.407 * [simplify]: Simplified to (sqrt (+ (* (+ phi1 phi2) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))) 18.407 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ phi1 phi2) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 18.408 * * * * [progress]: [ 45 / 151 ] simplifiying candidate # 18.408 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 18.408 * * [simplify]: iters left: 6 (30 enodes) 18.423 * * [simplify]: iters left: 5 (138 enodes) 18.453 * * [simplify]: iters left: 4 (379 enodes) 18.657 * * [simplify]: Extracting #0: cost 1 inf + 0 18.657 * * [simplify]: Extracting #1: cost 3 inf + 0 18.657 * * [simplify]: Extracting #2: cost 26 inf + 0 18.658 * * [simplify]: Extracting #3: cost 264 inf + 0 18.661 * * [simplify]: Extracting #4: cost 532 inf + 2420 18.674 * * [simplify]: Extracting #5: cost 460 inf + 30750 18.697 * * [simplify]: Extracting #6: cost 350 inf + 59206 18.724 * * [simplify]: Extracting #7: cost 202 inf + 110152 18.767 * * [simplify]: Extracting #8: cost 12 inf + 194243 18.829 * * [simplify]: Extracting #9: cost 0 inf + 201397 18.913 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) 18.913 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 18.914 * * * * [progress]: [ 46 / 151 ] simplifiying candidate # 18.914 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 18.914 * * [simplify]: iters left: 6 (35 enodes) 18.924 * * [simplify]: iters left: 5 (166 enodes) 18.982 * * [simplify]: iters left: 4 (443 enodes) 19.248 * * [simplify]: Extracting #0: cost 1 inf + 0 19.248 * * [simplify]: Extracting #1: cost 3 inf + 0 19.248 * * [simplify]: Extracting #2: cost 24 inf + 0 19.249 * * [simplify]: Extracting #3: cost 282 inf + 0 19.251 * * [simplify]: Extracting #4: cost 577 inf + 827 19.259 * * [simplify]: Extracting #5: cost 641 inf + 12796 19.269 * * [simplify]: Extracting #6: cost 462 inf + 61370 19.308 * * [simplify]: Extracting #7: cost 208 inf + 166104 19.381 * * [simplify]: Extracting #8: cost 4 inf + 267027 19.468 * * [simplify]: Extracting #9: cost 0 inf + 270927 19.564 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 19.564 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 19.564 * * * * [progress]: [ 47 / 151 ] simplifiying candidate # 19.564 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 19.565 * * [simplify]: iters left: 6 (30 enodes) 19.572 * * [simplify]: iters left: 5 (138 enodes) 19.615 * * [simplify]: iters left: 4 (370 enodes) 19.816 * * [simplify]: Extracting #0: cost 1 inf + 0 19.816 * * [simplify]: Extracting #1: cost 3 inf + 0 19.816 * * [simplify]: Extracting #2: cost 19 inf + 0 19.817 * * [simplify]: Extracting #3: cost 235 inf + 0 19.820 * * [simplify]: Extracting #4: cost 438 inf + 1119 19.827 * * [simplify]: Extracting #5: cost 486 inf + 15698 19.858 * * [simplify]: Extracting #6: cost 212 inf + 90906 19.902 * * [simplify]: Extracting #7: cost 29 inf + 169628 19.950 * * [simplify]: Extracting #8: cost 12 inf + 177338 19.996 * * [simplify]: Extracting #9: cost 0 inf + 183311 20.047 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (- phi1 phi2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi1 phi2)) (- phi1 phi2))))) 20.047 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (- phi1 phi2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi1 phi2)) (- phi1 phi2))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) 20.047 * * * * [progress]: [ 48 / 151 ] simplifiying candidate # 20.047 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 20.048 * * [simplify]: iters left: 6 (35 enodes) 20.057 * * [simplify]: iters left: 5 (166 enodes) 20.115 * * [simplify]: iters left: 4 (443 enodes) 20.371 * * [simplify]: Extracting #0: cost 1 inf + 0 20.372 * * [simplify]: Extracting #1: cost 3 inf + 0 20.372 * * [simplify]: Extracting #2: cost 24 inf + 0 20.373 * * [simplify]: Extracting #3: cost 266 inf + 0 20.375 * * [simplify]: Extracting #4: cost 536 inf + 991 20.379 * * [simplify]: Extracting #5: cost 627 inf + 15930 20.408 * * [simplify]: Extracting #6: cost 300 inf + 128169 20.485 * * [simplify]: Extracting #7: cost 94 inf + 221836 20.541 * * [simplify]: Extracting #8: cost 12 inf + 264673 20.621 * * [simplify]: Extracting #9: cost 0 inf + 270483 20.732 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) 20.732 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 20.732 * * * * [progress]: [ 49 / 151 ] simplifiying candidate # 20.733 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 20.733 * * [simplify]: iters left: 6 (30 enodes) 20.751 * * [simplify]: iters left: 5 (138 enodes) 20.794 * * [simplify]: iters left: 4 (370 enodes) 21.018 * * [simplify]: Extracting #0: cost 1 inf + 0 21.018 * * [simplify]: Extracting #1: cost 3 inf + 0 21.018 * * [simplify]: Extracting #2: cost 19 inf + 0 21.022 * * [simplify]: Extracting #3: cost 232 inf + 0 21.024 * * [simplify]: Extracting #4: cost 439 inf + 1239 21.029 * * [simplify]: Extracting #5: cost 468 inf + 18938 21.061 * * [simplify]: Extracting #6: cost 220 inf + 86371 21.095 * * [simplify]: Extracting #7: cost 39 inf + 163790 21.154 * * [simplify]: Extracting #8: cost 11 inf + 177528 21.196 * * [simplify]: Extracting #9: cost 0 inf + 183055 21.242 * [simplify]: Simplified to (sqrt (+ (* (* (- lambda1 lambda2) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- phi1 phi2)))) 21.242 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- lambda1 lambda2) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- phi1 phi2)))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) 21.243 * * * * [progress]: [ 50 / 151 ] simplifiying candidate # 21.243 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 21.243 * * [simplify]: iters left: 6 (31 enodes) 21.259 * * [simplify]: iters left: 5 (140 enodes) 21.290 * * [simplify]: iters left: 4 (410 enodes) 21.558 * * [simplify]: Extracting #0: cost 1 inf + 0 21.558 * * [simplify]: Extracting #1: cost 3 inf + 0 21.558 * * [simplify]: Extracting #2: cost 26 inf + 0 21.559 * * [simplify]: Extracting #3: cost 282 inf + 0 21.564 * * [simplify]: Extracting #4: cost 736 inf + 1471 21.581 * * [simplify]: Extracting #5: cost 645 inf + 35049 21.601 * * [simplify]: Extracting #6: cost 470 inf + 81590 21.639 * * [simplify]: Extracting #7: cost 314 inf + 143034 21.723 * * [simplify]: Extracting #8: cost 31 inf + 271913 21.823 * * [simplify]: Extracting #9: cost 0 inf + 288207 21.909 * [simplify]: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cos (/ (+ phi1 phi2) 2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))))) 21.909 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cos (/ (+ phi1 phi2) 2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))))) (sqrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 21.909 * * * * [progress]: [ 51 / 151 ] simplifiying candidate # 21.909 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 21.909 * * [simplify]: iters left: 6 (32 enodes) 21.918 * * [simplify]: iters left: 5 (149 enodes) 21.976 * * [simplify]: iters left: 4 (443 enodes) 22.346 * * [simplify]: Extracting #0: cost 1 inf + 0 22.346 * * [simplify]: Extracting #1: cost 3 inf + 0 22.346 * * [simplify]: Extracting #2: cost 22 inf + 0 22.347 * * [simplify]: Extracting #3: cost 281 inf + 0 22.349 * * [simplify]: Extracting #4: cost 718 inf + 627 22.354 * * [simplify]: Extracting #5: cost 776 inf + 18230 22.372 * * [simplify]: Extracting #6: cost 554 inf + 72171 22.426 * * [simplify]: Extracting #7: cost 363 inf + 136618 22.493 * * [simplify]: Extracting #8: cost 48 inf + 273628 22.563 * * [simplify]: Extracting #9: cost 0 inf + 296065 22.646 * * [simplify]: Extracting #10: cost 0 inf + 295985 22.731 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ phi1 phi2) (+ lambda2 lambda1)))) (* (+ phi1 phi2) (* (+ lambda2 lambda1) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) 22.731 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ phi1 phi2) (+ lambda2 lambda1)))) (* (+ phi1 phi2) (* (+ lambda2 lambda1) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 22.731 * * * * [progress]: [ 52 / 151 ] simplifiying candidate # 22.732 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 22.732 * * [simplify]: iters left: 6 (32 enodes) 22.740 * * [simplify]: iters left: 5 (149 enodes) 22.783 * * [simplify]: iters left: 4 (441 enodes) 23.431 * * [simplify]: Extracting #0: cost 1 inf + 0 23.431 * * [simplify]: Extracting #1: cost 3 inf + 0 23.431 * * [simplify]: Extracting #2: cost 26 inf + 0 23.433 * * [simplify]: Extracting #3: cost 318 inf + 0 23.437 * * [simplify]: Extracting #4: cost 742 inf + 1278 23.451 * * [simplify]: Extracting #5: cost 673 inf + 32232 23.480 * * [simplify]: Extracting #6: cost 477 inf + 79333 23.535 * * [simplify]: Extracting #7: cost 289 inf + 147722 23.612 * * [simplify]: Extracting #8: cost 33 inf + 259166 23.713 * * [simplify]: Extracting #9: cost 0 inf + 276031 23.790 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda2 lambda1))) (* (* (* (+ phi1 phi2) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi1 phi2) 2)))))) 23.790 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda2 lambda1))) (* (* (* (+ phi1 phi2) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi1 phi2) 2)))))) (sqrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 23.791 * * * * [progress]: [ 53 / 151 ] simplifiying candidate # 23.791 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 23.791 * * [simplify]: iters left: 6 (25 enodes) 23.803 * * [simplify]: iters left: 5 (108 enodes) 23.843 * * [simplify]: iters left: 4 (312 enodes) 24.009 * * [simplify]: Extracting #0: cost 1 inf + 0 24.009 * * [simplify]: Extracting #1: cost 3 inf + 0 24.009 * * [simplify]: Extracting #2: cost 22 inf + 0 24.010 * * [simplify]: Extracting #3: cost 220 inf + 0 24.011 * * [simplify]: Extracting #4: cost 524 inf + 1030 24.016 * * [simplify]: Extracting #5: cost 427 inf + 22801 24.045 * * [simplify]: Extracting #6: cost 192 inf + 85477 24.087 * * [simplify]: Extracting #7: cost 16 inf + 148950 24.138 * * [simplify]: Extracting #8: cost 0 inf + 155350 24.176 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 24.176 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) 24.176 * * * * [progress]: [ 54 / 151 ] simplifiying candidate # 24.176 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 24.177 * * [simplify]: iters left: 6 (31 enodes) 24.191 * * [simplify]: iters left: 5 (141 enodes) 24.237 * * [simplify]: iters left: 4 (384 enodes) 24.449 * * [simplify]: Extracting #0: cost 1 inf + 0 24.449 * * [simplify]: Extracting #1: cost 3 inf + 0 24.449 * * [simplify]: Extracting #2: cost 22 inf + 0 24.450 * * [simplify]: Extracting #3: cost 264 inf + 0 24.454 * * [simplify]: Extracting #4: cost 576 inf + 540 24.464 * * [simplify]: Extracting #5: cost 560 inf + 18060 24.492 * * [simplify]: Extracting #6: cost 408 inf + 52588 24.511 * * [simplify]: Extracting #7: cost 256 inf + 106636 24.569 * * [simplify]: Extracting #8: cost 8 inf + 209323 24.654 * * [simplify]: Extracting #9: cost 0 inf + 212641 24.708 * [simplify]: Simplified to (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ lambda2 lambda1)))) 24.708 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ lambda2 lambda1)))) (sqrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 24.708 * * * * [progress]: [ 55 / 151 ] simplifiying candidate # 24.708 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 24.708 * * [simplify]: iters left: 6 (25 enodes) 24.715 * * [simplify]: iters left: 5 (108 enodes) 24.746 * * [simplify]: iters left: 4 (303 enodes) 24.963 * * [simplify]: Extracting #0: cost 1 inf + 0 24.963 * * [simplify]: Extracting #1: cost 3 inf + 0 24.963 * * [simplify]: Extracting #2: cost 16 inf + 0 24.963 * * [simplify]: Extracting #3: cost 201 inf + 0 24.966 * * [simplify]: Extracting #4: cost 408 inf + 1117 24.973 * * [simplify]: Extracting #5: cost 392 inf + 13772 24.995 * * [simplify]: Extracting #6: cost 188 inf + 58801 25.057 * * [simplify]: Extracting #7: cost 14 inf + 121394 25.113 * * [simplify]: Extracting #8: cost 0 inf + 127664 25.159 * * [simplify]: Extracting #9: cost 0 inf + 127584 25.191 * [simplify]: Simplified to (sqrt (+ (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (+ phi1 phi2)))) (* (+ lambda2 lambda1) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) 25.191 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (+ phi1 phi2)))) (* (+ lambda2 lambda1) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) 25.192 * * * * [progress]: [ 56 / 151 ] simplifiying candidate # 25.192 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 25.193 * * [simplify]: iters left: 6 (31 enodes) 25.209 * * [simplify]: iters left: 5 (141 enodes) 25.255 * * [simplify]: iters left: 4 (384 enodes) 25.552 * * [simplify]: Extracting #0: cost 1 inf + 0 25.552 * * [simplify]: Extracting #1: cost 3 inf + 0 25.552 * * [simplify]: Extracting #2: cost 22 inf + 0 25.553 * * [simplify]: Extracting #3: cost 248 inf + 0 25.556 * * [simplify]: Extracting #4: cost 539 inf + 459 25.565 * * [simplify]: Extracting #5: cost 568 inf + 16202 25.582 * * [simplify]: Extracting #6: cost 442 inf + 39815 25.624 * * [simplify]: Extracting #7: cost 267 inf + 103916 25.697 * * [simplify]: Extracting #8: cost 7 inf + 208659 25.763 * * [simplify]: Extracting #9: cost 0 inf + 211380 25.835 * [simplify]: Simplified to (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ lambda2 lambda1)))) 25.835 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ lambda2 lambda1)))) (sqrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 25.835 * * * * [progress]: [ 57 / 151 ] simplifiying candidate # 25.835 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 25.835 * * [simplify]: iters left: 6 (25 enodes) 25.841 * * [simplify]: iters left: 5 (108 enodes) 25.866 * * [simplify]: iters left: 4 (303 enodes) 26.040 * * [simplify]: Extracting #0: cost 1 inf + 0 26.040 * * [simplify]: Extracting #1: cost 3 inf + 0 26.040 * * [simplify]: Extracting #2: cost 16 inf + 0 26.041 * * [simplify]: Extracting #3: cost 198 inf + 0 26.043 * * [simplify]: Extracting #4: cost 414 inf + 749 26.051 * * [simplify]: Extracting #5: cost 387 inf + 14998 26.075 * * [simplify]: Extracting #6: cost 181 inf + 62415 26.121 * * [simplify]: Extracting #7: cost 40 inf + 110466 26.155 * * [simplify]: Extracting #8: cost 0 inf + 127666 26.186 * [simplify]: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (+ phi1 phi2)) (* (+ lambda2 lambda1) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) 26.186 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (+ phi1 phi2)) (* (+ lambda2 lambda1) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) 26.186 * * * * [progress]: [ 58 / 151 ] simplifiying candidate # 26.187 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 26.187 * * [simplify]: iters left: 6 (35 enodes) 26.204 * * [simplify]: iters left: 5 (165 enodes) 26.256 * * [simplify]: iters left: 4 (469 enodes) 26.591 * * [simplify]: Extracting #0: cost 1 inf + 0 26.591 * * [simplify]: Extracting #1: cost 3 inf + 0 26.591 * * [simplify]: Extracting #2: cost 30 inf + 0 26.598 * * [simplify]: Extracting #3: cost 325 inf + 0 26.603 * * [simplify]: Extracting #4: cost 777 inf + 538 26.609 * * [simplify]: Extracting #5: cost 757 inf + 19893 26.623 * * [simplify]: Extracting #6: cost 566 inf + 75120 26.662 * * [simplify]: Extracting #7: cost 422 inf + 126085 26.758 * * [simplify]: Extracting #8: cost 138 inf + 266388 26.867 * * [simplify]: Extracting #9: cost 4 inf + 343311 27.003 * * [simplify]: Extracting #10: cost 0 inf + 346451 27.091 * [simplify]: Simplified to (sqrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) 27.091 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 27.092 * * * * [progress]: [ 59 / 151 ] simplifiying candidate # 27.092 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 27.092 * * [simplify]: iters left: 6 (36 enodes) 27.101 * * [simplify]: iters left: 5 (174 enodes) 27.166 * * [simplify]: Extracting #0: cost 1 inf + 0 27.166 * * [simplify]: Extracting #1: cost 3 inf + 0 27.166 * * [simplify]: Extracting #2: cost 6 inf + 0 27.166 * * [simplify]: Extracting #3: cost 59 inf + 0 27.166 * * [simplify]: Extracting #4: cost 166 inf + 0 27.167 * * [simplify]: Extracting #5: cost 211 inf + 44 27.169 * * [simplify]: Extracting #6: cost 168 inf + 13357 27.175 * * [simplify]: Extracting #7: cost 53 inf + 51438 27.190 * * [simplify]: Extracting #8: cost 7 inf + 60593 27.208 * * [simplify]: Extracting #9: cost 1 inf + 64261 27.219 * * [simplify]: Extracting #10: cost 0 inf + 65446 27.232 * [simplify]: Simplified to (sqrt (+ (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) 27.232 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 27.232 * * * * [progress]: [ 60 / 151 ] simplifiying candidate # 27.233 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 27.233 * * [simplify]: iters left: 6 (36 enodes) 27.247 * * [simplify]: iters left: 5 (174 enodes) 27.321 * * [simplify]: Extracting #0: cost 1 inf + 0 27.321 * * [simplify]: Extracting #1: cost 3 inf + 0 27.321 * * [simplify]: Extracting #2: cost 6 inf + 0 27.321 * * [simplify]: Extracting #3: cost 61 inf + 0 27.322 * * [simplify]: Extracting #4: cost 164 inf + 0 27.323 * * [simplify]: Extracting #5: cost 207 inf + 44 27.326 * * [simplify]: Extracting #6: cost 170 inf + 9992 27.340 * * [simplify]: Extracting #7: cost 39 inf + 54211 27.363 * * [simplify]: Extracting #8: cost 4 inf + 62278 27.384 * * [simplify]: Extracting #9: cost 0 inf + 63118 27.405 * * [simplify]: Extracting #10: cost 0 inf + 63078 27.417 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) 27.417 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 27.417 * * * * [progress]: [ 61 / 151 ] simplifiying candidate # 27.418 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 27.418 * * [simplify]: iters left: 6 (30 enodes) 27.426 * * [simplify]: iters left: 5 (138 enodes) 27.462 * * [simplify]: iters left: 4 (379 enodes) 27.697 * * [simplify]: Extracting #0: cost 1 inf + 0 27.697 * * [simplify]: Extracting #1: cost 3 inf + 0 27.697 * * [simplify]: Extracting #2: cost 26 inf + 0 27.698 * * [simplify]: Extracting #3: cost 263 inf + 0 27.701 * * [simplify]: Extracting #4: cost 542 inf + 744 27.708 * * [simplify]: Extracting #5: cost 523 inf + 11348 27.736 * * [simplify]: Extracting #6: cost 277 inf + 82625 27.806 * * [simplify]: Extracting #7: cost 35 inf + 177247 27.860 * * [simplify]: Extracting #8: cost 3 inf + 190758 27.916 * * [simplify]: Extracting #9: cost 0 inf + 192833 27.979 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ phi2 phi1) (+ phi2 phi1))) (* (- phi1 phi2) (- phi1 phi2))))) 27.979 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ phi2 phi1) (+ phi2 phi1))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 27.980 * * * * [progress]: [ 62 / 151 ] simplifiying candidate # 27.980 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 27.981 * * [simplify]: iters left: 6 (35 enodes) 27.999 * * [simplify]: iters left: 5 (166 enodes) 28.055 * * [simplify]: iters left: 4 (443 enodes) 28.364 * * [simplify]: Extracting #0: cost 1 inf + 0 28.364 * * [simplify]: Extracting #1: cost 3 inf + 0 28.364 * * [simplify]: Extracting #2: cost 24 inf + 0 28.365 * * [simplify]: Extracting #3: cost 288 inf + 0 28.367 * * [simplify]: Extracting #4: cost 592 inf + 538 28.371 * * [simplify]: Extracting #5: cost 639 inf + 13930 28.391 * * [simplify]: Extracting #6: cost 310 inf + 118827 28.448 * * [simplify]: Extracting #7: cost 64 inf + 239299 28.556 * * [simplify]: Extracting #8: cost 1 inf + 269332 28.625 * * [simplify]: Extracting #9: cost 0 inf + 270477 28.704 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) 28.704 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 28.704 * * * * [progress]: [ 63 / 151 ] simplifiying candidate # 28.705 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 28.706 * * [simplify]: iters left: 6 (30 enodes) 28.723 * * [simplify]: iters left: 5 (138 enodes) 28.775 * * [simplify]: iters left: 4 (370 enodes) 28.985 * * [simplify]: Extracting #0: cost 1 inf + 0 28.985 * * [simplify]: Extracting #1: cost 3 inf + 0 28.985 * * [simplify]: Extracting #2: cost 19 inf + 0 28.986 * * [simplify]: Extracting #3: cost 238 inf + 0 28.989 * * [simplify]: Extracting #4: cost 447 inf + 829 28.997 * * [simplify]: Extracting #5: cost 490 inf + 12845 29.034 * * [simplify]: Extracting #6: cost 214 inf + 89374 29.078 * * [simplify]: Extracting #7: cost 16 inf + 176117 29.130 * * [simplify]: Extracting #8: cost 0 inf + 182129 29.179 * [simplify]: Simplified to (sqrt (+ (* (* (- lambda1 lambda2) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) 29.179 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- lambda1 lambda2) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) 29.180 * * * * [progress]: [ 64 / 151 ] simplifiying candidate # 29.180 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 29.180 * * [simplify]: iters left: 6 (35 enodes) 29.194 * * [simplify]: iters left: 5 (166 enodes) 29.236 * * [simplify]: iters left: 4 (443 enodes) 29.523 * * [simplify]: Extracting #0: cost 1 inf + 0 29.523 * * [simplify]: Extracting #1: cost 3 inf + 0 29.523 * * [simplify]: Extracting #2: cost 24 inf + 0 29.524 * * [simplify]: Extracting #3: cost 272 inf + 0 29.528 * * [simplify]: Extracting #4: cost 549 inf + 867 29.538 * * [simplify]: Extracting #5: cost 641 inf + 11430 29.557 * * [simplify]: Extracting #6: cost 372 inf + 90223 29.619 * * [simplify]: Extracting #7: cost 124 inf + 199824 29.696 * * [simplify]: Extracting #8: cost 11 inf + 263431 29.805 * * [simplify]: Extracting #9: cost 0 inf + 269187 29.907 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) 29.907 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 29.907 * * * * [progress]: [ 65 / 151 ] simplifiying candidate # 29.907 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 29.907 * * [simplify]: iters left: 6 (30 enodes) 29.917 * * [simplify]: iters left: 5 (138 enodes) 29.956 * * [simplify]: iters left: 4 (370 enodes) 30.150 * * [simplify]: Extracting #0: cost 1 inf + 0 30.150 * * [simplify]: Extracting #1: cost 3 inf + 0 30.150 * * [simplify]: Extracting #2: cost 19 inf + 0 30.151 * * [simplify]: Extracting #3: cost 235 inf + 0 30.154 * * [simplify]: Extracting #4: cost 448 inf + 746 30.164 * * [simplify]: Extracting #5: cost 454 inf + 19933 30.199 * * [simplify]: Extracting #6: cost 207 inf + 92031 30.245 * * [simplify]: Extracting #7: cost 15 inf + 175768 30.285 * * [simplify]: Extracting #8: cost 0 inf + 181793 30.328 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (+ phi2 phi1)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2))) (- phi1 phi2)))) 30.328 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (+ phi2 phi1)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2))) (- phi1 phi2)))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) 30.328 * * * * [progress]: [ 66 / 151 ] simplifiying candidate # 30.328 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 30.329 * * [simplify]: iters left: 6 (31 enodes) 30.344 * * [simplify]: iters left: 5 (140 enodes) 30.394 * * [simplify]: iters left: 4 (410 enodes) 30.708 * * [simplify]: Extracting #0: cost 1 inf + 0 30.708 * * [simplify]: Extracting #1: cost 3 inf + 0 30.708 * * [simplify]: Extracting #2: cost 26 inf + 0 30.709 * * [simplify]: Extracting #3: cost 299 inf + 0 30.714 * * [simplify]: Extracting #4: cost 756 inf + 539 30.726 * * [simplify]: Extracting #5: cost 698 inf + 23106 30.755 * * [simplify]: Extracting #6: cost 493 inf + 77057 30.792 * * [simplify]: Extracting #7: cost 344 inf + 130024 30.871 * * [simplify]: Extracting #8: cost 24 inf + 274385 30.984 * * [simplify]: Extracting #9: cost 0 inf + 286865 31.090 * * [simplify]: Extracting #10: cost 0 inf + 286785 31.189 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))))) 31.189 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))))) (sqrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 31.190 * * * * [progress]: [ 67 / 151 ] simplifiying candidate # 31.190 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 31.190 * * [simplify]: iters left: 6 (32 enodes) 31.210 * * [simplify]: iters left: 5 (149 enodes) 31.248 * * [simplify]: iters left: 4 (443 enodes) 31.571 * * [simplify]: Extracting #0: cost 1 inf + 0 31.571 * * [simplify]: Extracting #1: cost 3 inf + 0 31.571 * * [simplify]: Extracting #2: cost 22 inf + 0 31.572 * * [simplify]: Extracting #3: cost 297 inf + 0 31.574 * * [simplify]: Extracting #4: cost 725 inf + 212 31.579 * * [simplify]: Extracting #5: cost 795 inf + 13274 31.593 * * [simplify]: Extracting #6: cost 557 inf + 69713 31.651 * * [simplify]: Extracting #7: cost 327 inf + 152698 31.725 * * [simplify]: Extracting #8: cost 14 inf + 288764 31.826 * * [simplify]: Extracting #9: cost 0 inf + 291874 31.904 * * [simplify]: Extracting #10: cost 0 inf + 291834 31.999 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (+ phi1 phi2) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) 31.999 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (+ phi1 phi2) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 31.999 * * * * [progress]: [ 68 / 151 ] simplifiying candidate # 32.000 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 32.000 * * [simplify]: iters left: 6 (32 enodes) 32.011 * * [simplify]: iters left: 5 (149 enodes) 32.044 * * [simplify]: iters left: 4 (441 enodes) 32.383 * * [simplify]: Extracting #0: cost 1 inf + 0 32.383 * * [simplify]: Extracting #1: cost 3 inf + 0 32.383 * * [simplify]: Extracting #2: cost 26 inf + 0 32.383 * * [simplify]: Extracting #3: cost 341 inf + 0 32.386 * * [simplify]: Extracting #4: cost 752 inf + 1605 32.394 * * [simplify]: Extracting #5: cost 680 inf + 34391 32.412 * * [simplify]: Extracting #6: cost 486 inf + 81708 32.447 * * [simplify]: Extracting #7: cost 311 inf + 143836 32.536 * * [simplify]: Extracting #8: cost 42 inf + 255591 32.603 * * [simplify]: Extracting #9: cost 0 inf + 272961 32.687 * * [simplify]: Extracting #10: cost 0 inf + 272921 32.782 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ lambda1 lambda2))))) 32.782 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ lambda1 lambda2))))) (sqrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 32.783 * * * * [progress]: [ 69 / 151 ] simplifiying candidate # 32.783 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 32.783 * * [simplify]: iters left: 6 (25 enodes) 32.789 * * [simplify]: iters left: 5 (108 enodes) 32.827 * * [simplify]: iters left: 4 (312 enodes) 33.009 * * [simplify]: Extracting #0: cost 1 inf + 0 33.009 * * [simplify]: Extracting #1: cost 3 inf + 0 33.009 * * [simplify]: Extracting #2: cost 22 inf + 0 33.009 * * [simplify]: Extracting #3: cost 228 inf + 0 33.011 * * [simplify]: Extracting #4: cost 515 inf + 1477 33.016 * * [simplify]: Extracting #5: cost 424 inf + 21595 33.033 * * [simplify]: Extracting #6: cost 189 inf + 83464 33.101 * * [simplify]: Extracting #7: cost 3 inf + 149990 33.149 * * [simplify]: Extracting #8: cost 0 inf + 149585 33.200 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 33.200 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) 33.201 * * * * [progress]: [ 70 / 151 ] simplifiying candidate # 33.201 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 33.201 * * [simplify]: iters left: 6 (31 enodes) 33.217 * * [simplify]: iters left: 5 (141 enodes) 33.245 * * [simplify]: iters left: 4 (384 enodes) 33.526 * * [simplify]: Extracting #0: cost 1 inf + 0 33.526 * * [simplify]: Extracting #1: cost 3 inf + 0 33.526 * * [simplify]: Extracting #2: cost 22 inf + 0 33.527 * * [simplify]: Extracting #3: cost 276 inf + 0 33.531 * * [simplify]: Extracting #4: cost 582 inf + 910 33.538 * * [simplify]: Extracting #5: cost 558 inf + 19642 33.557 * * [simplify]: Extracting #6: cost 271 inf + 106372 33.611 * * [simplify]: Extracting #7: cost 9 inf + 209299 33.699 * * [simplify]: Extracting #8: cost 0 inf + 213578 33.791 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)))) 33.791 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)))) (sqrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 33.791 * * * * [progress]: [ 71 / 151 ] simplifiying candidate # 33.792 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 33.792 * * [simplify]: iters left: 6 (25 enodes) 33.804 * * [simplify]: iters left: 5 (108 enodes) 33.838 * * [simplify]: iters left: 4 (303 enodes) 34.025 * * [simplify]: Extracting #0: cost 1 inf + 0 34.026 * * [simplify]: Extracting #1: cost 3 inf + 0 34.026 * * [simplify]: Extracting #2: cost 16 inf + 0 34.026 * * [simplify]: Extracting #3: cost 213 inf + 0 34.029 * * [simplify]: Extracting #4: cost 424 inf + 1159 34.035 * * [simplify]: Extracting #5: cost 381 inf + 16791 34.046 * * [simplify]: Extracting #6: cost 283 inf + 31892 34.060 * * [simplify]: Extracting #7: cost 175 inf + 67299 34.100 * * [simplify]: Extracting #8: cost 5 inf + 128635 34.130 * * [simplify]: Extracting #9: cost 0 inf + 130200 34.163 * * [simplify]: Extracting #10: cost 0 inf + 130160 34.201 * [simplify]: Simplified to (sqrt (+ (* (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2))))) 34.201 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2))))) (sqrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) 34.201 * * * * [progress]: [ 72 / 151 ] simplifiying candidate # 34.202 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 34.202 * * [simplify]: iters left: 6 (31 enodes) 34.210 * * [simplify]: iters left: 5 (141 enodes) 34.249 * * [simplify]: iters left: 4 (384 enodes) 34.482 * * [simplify]: Extracting #0: cost 1 inf + 0 34.482 * * [simplify]: Extracting #1: cost 3 inf + 0 34.482 * * [simplify]: Extracting #2: cost 22 inf + 0 34.483 * * [simplify]: Extracting #3: cost 260 inf + 0 34.485 * * [simplify]: Extracting #4: cost 549 inf + 500 34.489 * * [simplify]: Extracting #5: cost 568 inf + 16697 34.507 * * [simplify]: Extracting #6: cost 312 inf + 92055 34.593 * * [simplify]: Extracting #7: cost 21 inf + 206085 34.656 * * [simplify]: Extracting #8: cost 0 inf + 213074 34.746 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)))) 34.747 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)))) (sqrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 34.747 * * * * [progress]: [ 73 / 151 ] simplifiying candidate # 34.747 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 34.748 * * [simplify]: iters left: 6 (25 enodes) 34.760 * * [simplify]: iters left: 5 (108 enodes) 34.800 * * [simplify]: iters left: 4 (303 enodes) 35.024 * * [simplify]: Extracting #0: cost 1 inf + 0 35.024 * * [simplify]: Extracting #1: cost 3 inf + 0 35.024 * * [simplify]: Extracting #2: cost 16 inf + 0 35.024 * * [simplify]: Extracting #3: cost 209 inf + 0 35.027 * * [simplify]: Extracting #4: cost 428 inf + 502 35.034 * * [simplify]: Extracting #5: cost 395 inf + 14799 35.050 * * [simplify]: Extracting #6: cost 181 inf + 66662 35.089 * * [simplify]: Extracting #7: cost 8 inf + 127318 35.141 * * [simplify]: Extracting #8: cost 0 inf + 130238 35.171 * [simplify]: Simplified to (sqrt (+ (* (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2))))) 35.171 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2))))) (sqrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) 35.171 * * * * [progress]: [ 74 / 151 ] simplifiying candidate # 35.171 * [simplify]: Simplifying (sqrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 3) (pow (* (- phi1 phi2) (- phi1 phi2)) 3))) 35.171 * * [simplify]: iters left: 6 (18 enodes) 35.180 * * [simplify]: iters left: 5 (84 enodes) 35.203 * * [simplify]: iters left: 4 (228 enodes) 35.315 * * [simplify]: Extracting #0: cost 1 inf + 0 35.315 * * [simplify]: Extracting #1: cost 3 inf + 0 35.315 * * [simplify]: Extracting #2: cost 6 inf + 0 35.315 * * [simplify]: Extracting #3: cost 73 inf + 0 35.316 * * [simplify]: Extracting #4: cost 265 inf + 2 35.317 * * [simplify]: Extracting #5: cost 286 inf + 1801 35.326 * * [simplify]: Extracting #6: cost 166 inf + 30220 35.344 * * [simplify]: Extracting #7: cost 30 inf + 75336 35.375 * * [simplify]: Extracting #8: cost 0 inf + 85497 35.402 * * [simplify]: Extracting #9: cost 0 inf + 85166 35.430 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) 35.431 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (- (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))) 35.431 * * * * [progress]: [ 75 / 151 ] simplifiying candidate # 35.432 * [simplify]: Simplifying (sqrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) 35.432 * * [simplify]: iters left: 6 (17 enodes) 35.441 * * [simplify]: iters left: 5 (77 enodes) 35.472 * * [simplify]: iters left: 4 (210 enodes) 35.606 * * [simplify]: Extracting #0: cost 1 inf + 0 35.606 * * [simplify]: Extracting #1: cost 3 inf + 0 35.606 * * [simplify]: Extracting #2: cost 25 inf + 0 35.607 * * [simplify]: Extracting #3: cost 107 inf + 0 35.608 * * [simplify]: Extracting #4: cost 254 inf + 44 35.611 * * [simplify]: Extracting #5: cost 259 inf + 2051 35.617 * * [simplify]: Extracting #6: cost 192 inf + 11834 35.629 * * [simplify]: Extracting #7: cost 126 inf + 29261 35.645 * * [simplify]: Extracting #8: cost 21 inf + 64729 35.666 * * [simplify]: Extracting #9: cost 0 inf + 72252 35.683 * [simplify]: Simplified to (sqrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) 35.683 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (- (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))) 35.683 * * * * [progress]: [ 76 / 151 ] simplifiying candidate # 35.683 * [simplify]: Simplifying (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) 35.684 * * [simplify]: iters left: 6 (14 enodes) 35.687 * * [simplify]: iters left: 5 (56 enodes) 35.696 * * [simplify]: iters left: 4 (105 enodes) 35.729 * * [simplify]: iters left: 3 (306 enodes) 35.869 * * [simplify]: Extracting #0: cost 1 inf + 0 35.869 * * [simplify]: Extracting #1: cost 18 inf + 0 35.869 * * [simplify]: Extracting #2: cost 146 inf + 0 35.870 * * [simplify]: Extracting #3: cost 200 inf + 248 35.871 * * [simplify]: Extracting #4: cost 198 inf + 2293 35.875 * * [simplify]: Extracting #5: cost 128 inf + 16154 35.885 * * [simplify]: Extracting #6: cost 17 inf + 49935 35.897 * * [simplify]: Extracting #7: cost 0 inf + 55678 35.921 * [simplify]: Simplified to (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) 35.921 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (pow (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (/ 1 2)))) 35.921 * * * * [progress]: [ 77 / 151 ] simplifiying candidate # 35.921 * * * * [progress]: [ 78 / 151 ] simplifiying candidate # 35.922 * [simplify]: Simplifying (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) 35.922 * * [simplify]: iters left: 6 (15 enodes) 35.929 * * [simplify]: iters left: 5 (59 enodes) 35.948 * * [simplify]: iters left: 4 (108 enodes) 35.996 * * [simplify]: iters left: 3 (309 enodes) 36.139 * * [simplify]: Extracting #0: cost 1 inf + 0 36.139 * * [simplify]: Extracting #1: cost 3 inf + 0 36.139 * * [simplify]: Extracting #2: cost 20 inf + 0 36.139 * * [simplify]: Extracting #3: cost 141 inf + 0 36.141 * * [simplify]: Extracting #4: cost 198 inf + 209 36.143 * * [simplify]: Extracting #5: cost 202 inf + 1887 36.149 * * [simplify]: Extracting #6: cost 136 inf + 13902 36.169 * * [simplify]: Extracting #7: cost 10 inf + 53057 36.182 * * [simplify]: Extracting #8: cost 0 inf + 56025 36.194 * [simplify]: Simplified to (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) 36.194 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (fabs (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) 36.194 * * * * [progress]: [ 79 / 151 ] simplifiying candidate # 36.195 * * * * [progress]: [ 80 / 151 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))> 36.195 * * * * [progress]: [ 81 / 151 ] simplifiying candidate # 36.195 * * * * [progress]: [ 82 / 151 ] simplifiying candidate # 36.195 * * * * [progress]: [ 83 / 151 ] simplifiying candidate # 36.195 * * * * [progress]: [ 84 / 151 ] simplifiying candidate # 36.195 * * * * [progress]: [ 85 / 151 ] simplifiying candidate # 36.195 * * * * [progress]: [ 86 / 151 ] simplifiying candidate # 36.195 * * * * [progress]: [ 87 / 151 ] simplifiying candidate # 36.195 * * * * [progress]: [ 88 / 151 ] simplifiying candidate #real (real->posit16 (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))> 36.195 * * * * [progress]: [ 89 / 151 ] simplifiying candidate # 36.195 * * * * [progress]: [ 90 / 151 ] simplifiying candidate # 36.195 * * * * [progress]: [ 91 / 151 ] simplifiying candidate # 36.195 * * * * [progress]: [ 92 / 151 ] simplifiying candidate # 36.195 * * * * [progress]: [ 93 / 151 ] simplifiying candidate # 36.195 * * * * [progress]: [ 94 / 151 ] simplifiying candidate # 36.195 * * * * [progress]: [ 95 / 151 ] simplifiying candidate # 36.195 * * * * [progress]: [ 96 / 151 ] simplifiying candidate #real (real->posit16 (cos (/ (+ phi1 phi2) 2))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))> 36.195 * * * * [progress]: [ 97 / 151 ] simplifiying candidate # 36.195 * [simplify]: Simplifying (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 36.196 * * [simplify]: iters left: 6 (10 enodes) 36.200 * * [simplify]: iters left: 5 (34 enodes) 36.205 * * [simplify]: iters left: 4 (43 enodes) 36.211 * * [simplify]: iters left: 3 (57 enodes) 36.218 * * [simplify]: iters left: 2 (66 enodes) 36.226 * * [simplify]: iters left: 1 (68 enodes) 36.233 * * [simplify]: Extracting #0: cost 1 inf + 0 36.233 * * [simplify]: Extracting #1: cost 7 inf + 0 36.233 * * [simplify]: Extracting #2: cost 17 inf + 0 36.233 * * [simplify]: Extracting #3: cost 20 inf + 2 36.233 * * [simplify]: Extracting #4: cost 18 inf + 169 36.234 * * [simplify]: Extracting #5: cost 15 inf + 213 36.234 * * [simplify]: Extracting #6: cost 9 inf + 1014 36.234 * * [simplify]: Extracting #7: cost 3 inf + 2116 36.235 * * [simplify]: Extracting #8: cost 0 inf + 2707 36.235 * [simplify]: Simplified to (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 36.235 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ 1 1)) (* (- phi1 phi2) (- phi1 phi2)))))) 36.236 * [simplify]: Simplifying (+ 1 1) 36.236 * * [simplify]: iters left: 2 (2 enodes) 36.237 * * [simplify]: iters left: 1 (9 enodes) 36.239 * * [simplify]: Extracting #0: cost 1 inf + 0 36.239 * * [simplify]: Extracting #1: cost 0 inf + 1 36.239 * [simplify]: Simplified to 2 36.239 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 2) (* (- phi1 phi2) (- phi1 phi2)))))) 36.239 * * * * [progress]: [ 98 / 151 ] simplifiying candidate # 36.239 * [simplify]: Simplifying (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 36.239 * * [simplify]: iters left: 6 (10 enodes) 36.241 * * [simplify]: iters left: 5 (34 enodes) 36.247 * * [simplify]: iters left: 4 (43 enodes) 36.260 * * [simplify]: iters left: 3 (57 enodes) 36.274 * * [simplify]: iters left: 2 (66 enodes) 36.282 * * [simplify]: iters left: 1 (68 enodes) 36.291 * * [simplify]: Extracting #0: cost 1 inf + 0 36.291 * * [simplify]: Extracting #1: cost 7 inf + 0 36.291 * * [simplify]: Extracting #2: cost 17 inf + 0 36.291 * * [simplify]: Extracting #3: cost 20 inf + 2 36.291 * * [simplify]: Extracting #4: cost 18 inf + 169 36.291 * * [simplify]: Extracting #5: cost 15 inf + 213 36.291 * * [simplify]: Extracting #6: cost 9 inf + 1014 36.292 * * [simplify]: Extracting #7: cost 3 inf + 2116 36.292 * * [simplify]: Extracting #8: cost 0 inf + 2707 36.293 * [simplify]: Simplified to (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 36.293 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ 1 1)) (* (- phi1 phi2) (- phi1 phi2)))))) 36.293 * [simplify]: Simplifying (+ 1 1) 36.293 * * [simplify]: iters left: 2 (2 enodes) 36.295 * * [simplify]: iters left: 1 (9 enodes) 36.296 * * [simplify]: Extracting #0: cost 1 inf + 0 36.296 * * [simplify]: Extracting #1: cost 0 inf + 1 36.296 * [simplify]: Simplified to 2 36.296 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 2) (* (- phi1 phi2) (- phi1 phi2)))))) 36.296 * * * * [progress]: [ 99 / 151 ] simplifiying candidate # 36.296 * [simplify]: Simplifying (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 36.297 * * [simplify]: iters left: 6 (10 enodes) 36.299 * * [simplify]: iters left: 5 (34 enodes) 36.306 * * [simplify]: iters left: 4 (43 enodes) 36.318 * * [simplify]: iters left: 3 (57 enodes) 36.325 * * [simplify]: iters left: 2 (66 enodes) 36.333 * * [simplify]: iters left: 1 (68 enodes) 36.340 * * [simplify]: Extracting #0: cost 1 inf + 0 36.340 * * [simplify]: Extracting #1: cost 7 inf + 0 36.340 * * [simplify]: Extracting #2: cost 17 inf + 0 36.340 * * [simplify]: Extracting #3: cost 20 inf + 2 36.340 * * [simplify]: Extracting #4: cost 18 inf + 169 36.340 * * [simplify]: Extracting #5: cost 15 inf + 213 36.341 * * [simplify]: Extracting #6: cost 9 inf + 1014 36.341 * * [simplify]: Extracting #7: cost 3 inf + 2116 36.341 * * [simplify]: Extracting #8: cost 0 inf + 2707 36.342 * [simplify]: Simplified to (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 36.342 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ 1 1)) (* (- phi1 phi2) (- phi1 phi2)))))) 36.342 * [simplify]: Simplifying (+ 1 1) 36.342 * * [simplify]: iters left: 2 (2 enodes) 36.344 * * [simplify]: iters left: 1 (9 enodes) 36.345 * * [simplify]: Extracting #0: cost 1 inf + 0 36.345 * * [simplify]: Extracting #1: cost 0 inf + 1 36.345 * [simplify]: Simplified to 2 36.345 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 2) (* (- phi1 phi2) (- phi1 phi2)))))) 36.345 * * * * [progress]: [ 100 / 151 ] simplifiying candidate # 36.346 * [simplify]: Simplifying (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 36.346 * * [simplify]: iters left: 6 (10 enodes) 36.348 * * [simplify]: iters left: 5 (34 enodes) 36.353 * * [simplify]: iters left: 4 (43 enodes) 36.365 * * [simplify]: iters left: 3 (57 enodes) 36.380 * * [simplify]: iters left: 2 (66 enodes) 36.397 * * [simplify]: iters left: 1 (68 enodes) 36.411 * * [simplify]: Extracting #0: cost 1 inf + 0 36.412 * * [simplify]: Extracting #1: cost 7 inf + 0 36.412 * * [simplify]: Extracting #2: cost 17 inf + 0 36.412 * * [simplify]: Extracting #3: cost 20 inf + 2 36.412 * * [simplify]: Extracting #4: cost 18 inf + 169 36.412 * * [simplify]: Extracting #5: cost 15 inf + 213 36.413 * * [simplify]: Extracting #6: cost 9 inf + 1014 36.413 * * [simplify]: Extracting #7: cost 3 inf + 2116 36.414 * * [simplify]: Extracting #8: cost 0 inf + 2707 36.416 * [simplify]: Simplified to (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 36.416 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ 1 1)) (* (- phi1 phi2) (- phi1 phi2)))))) 36.416 * [simplify]: Simplifying (+ 1 1) 36.416 * * [simplify]: iters left: 2 (2 enodes) 36.418 * * [simplify]: iters left: 1 (9 enodes) 36.421 * * [simplify]: Extracting #0: cost 1 inf + 0 36.421 * * [simplify]: Extracting #1: cost 0 inf + 1 36.421 * [simplify]: Simplified to 2 36.421 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 2) (* (- phi1 phi2) (- phi1 phi2)))))) 36.422 * * * * [progress]: [ 101 / 151 ] simplifiying candidate # 36.422 * [simplify]: Simplifying (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 36.422 * * [simplify]: iters left: 6 (11 enodes) 36.428 * * [simplify]: iters left: 5 (44 enodes) 36.442 * * [simplify]: iters left: 4 (84 enodes) 36.479 * * [simplify]: iters left: 3 (250 enodes) 36.580 * * [simplify]: Extracting #0: cost 1 inf + 0 36.581 * * [simplify]: Extracting #1: cost 27 inf + 0 36.581 * * [simplify]: Extracting #2: cost 118 inf + 0 36.582 * * [simplify]: Extracting #3: cost 159 inf + 250 36.583 * * [simplify]: Extracting #4: cost 135 inf + 3217 36.585 * * [simplify]: Extracting #5: cost 124 inf + 4659 36.589 * * [simplify]: Extracting #6: cost 47 inf + 25183 36.598 * * [simplify]: Extracting #7: cost 0 inf + 39064 36.606 * [simplify]: Simplified to (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 36.606 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1) (* (- phi1 phi2) (- phi1 phi2)))))) 36.606 * * * * [progress]: [ 102 / 151 ] simplifiying candidate # 36.606 * [simplify]: Simplifying (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 36.607 * * [simplify]: iters left: 6 (11 enodes) 36.609 * * [simplify]: iters left: 5 (44 enodes) 36.616 * * [simplify]: iters left: 4 (84 enodes) 36.635 * * [simplify]: iters left: 3 (250 enodes) 36.745 * * [simplify]: Extracting #0: cost 1 inf + 0 36.745 * * [simplify]: Extracting #1: cost 27 inf + 0 36.746 * * [simplify]: Extracting #2: cost 118 inf + 0 36.747 * * [simplify]: Extracting #3: cost 159 inf + 250 36.749 * * [simplify]: Extracting #4: cost 135 inf + 3217 36.751 * * [simplify]: Extracting #5: cost 124 inf + 4659 36.760 * * [simplify]: Extracting #6: cost 47 inf + 25183 36.776 * * [simplify]: Extracting #7: cost 0 inf + 39064 36.793 * [simplify]: Simplified to (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 36.793 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1) (* (- phi1 phi2) (- phi1 phi2)))))) 36.793 * * * * [progress]: [ 103 / 151 ] simplifiying candidate # 36.794 * [simplify]: Simplifying (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 36.794 * * [simplify]: iters left: 6 (11 enodes) 36.800 * * [simplify]: iters left: 5 (44 enodes) 36.813 * * [simplify]: iters left: 4 (84 enodes) 36.855 * * [simplify]: iters left: 3 (250 enodes) 36.980 * * [simplify]: Extracting #0: cost 1 inf + 0 36.980 * * [simplify]: Extracting #1: cost 27 inf + 0 36.980 * * [simplify]: Extracting #2: cost 118 inf + 0 36.981 * * [simplify]: Extracting #3: cost 159 inf + 250 36.982 * * [simplify]: Extracting #4: cost 135 inf + 3217 36.983 * * [simplify]: Extracting #5: cost 124 inf + 4659 36.987 * * [simplify]: Extracting #6: cost 47 inf + 25183 36.996 * * [simplify]: Extracting #7: cost 0 inf + 39064 37.005 * [simplify]: Simplified to (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 37.005 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1) (* (- phi1 phi2) (- phi1 phi2)))))) 37.005 * * * * [progress]: [ 104 / 151 ] simplifiying candidate # 37.005 * [simplify]: Simplifying (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 37.005 * * [simplify]: iters left: 6 (11 enodes) 37.008 * * [simplify]: iters left: 5 (44 enodes) 37.017 * * [simplify]: iters left: 4 (84 enodes) 37.040 * * [simplify]: iters left: 3 (250 enodes) 37.188 * * [simplify]: Extracting #0: cost 1 inf + 0 37.188 * * [simplify]: Extracting #1: cost 27 inf + 0 37.189 * * [simplify]: Extracting #2: cost 118 inf + 0 37.189 * * [simplify]: Extracting #3: cost 159 inf + 250 37.190 * * [simplify]: Extracting #4: cost 135 inf + 3217 37.191 * * [simplify]: Extracting #5: cost 124 inf + 4659 37.196 * * [simplify]: Extracting #6: cost 47 inf + 25183 37.207 * * [simplify]: Extracting #7: cost 0 inf + 39064 37.227 * [simplify]: Simplified to (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 37.227 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1) (* (- phi1 phi2) (- phi1 phi2)))))) 37.227 * * * * [progress]: [ 105 / 151 ] simplifiying candidate # 37.227 * * * * [progress]: [ 106 / 151 ] simplifiying candidate # 37.228 * [simplify]: Simplifying (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 37.228 * * [simplify]: iters left: 6 (10 enodes) 37.233 * * [simplify]: iters left: 5 (34 enodes) 37.243 * * [simplify]: iters left: 4 (43 enodes) 37.256 * * [simplify]: iters left: 3 (57 enodes) 37.271 * * [simplify]: iters left: 2 (66 enodes) 37.287 * * [simplify]: iters left: 1 (68 enodes) 37.302 * * [simplify]: Extracting #0: cost 1 inf + 0 37.302 * * [simplify]: Extracting #1: cost 7 inf + 0 37.302 * * [simplify]: Extracting #2: cost 17 inf + 0 37.302 * * [simplify]: Extracting #3: cost 20 inf + 2 37.302 * * [simplify]: Extracting #4: cost 18 inf + 169 37.303 * * [simplify]: Extracting #5: cost 15 inf + 213 37.303 * * [simplify]: Extracting #6: cost 9 inf + 1014 37.304 * * [simplify]: Extracting #7: cost 3 inf + 2116 37.305 * * [simplify]: Extracting #8: cost 0 inf + 2707 37.306 * [simplify]: Simplified to (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 37.306 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ 1 1)) (* (- phi1 phi2) (- phi1 phi2)))))) 37.306 * * * * [progress]: [ 107 / 151 ] simplifiying candidate # 37.306 * [simplify]: Simplifying (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 37.307 * * [simplify]: iters left: 6 (10 enodes) 37.311 * * [simplify]: iters left: 5 (34 enodes) 37.320 * * [simplify]: iters left: 4 (43 enodes) 37.333 * * [simplify]: iters left: 3 (57 enodes) 37.347 * * [simplify]: iters left: 2 (66 enodes) 37.362 * * [simplify]: iters left: 1 (68 enodes) 37.378 * * [simplify]: Extracting #0: cost 1 inf + 0 37.378 * * [simplify]: Extracting #1: cost 7 inf + 0 37.378 * * [simplify]: Extracting #2: cost 17 inf + 0 37.379 * * [simplify]: Extracting #3: cost 20 inf + 2 37.379 * * [simplify]: Extracting #4: cost 18 inf + 169 37.379 * * [simplify]: Extracting #5: cost 15 inf + 213 37.379 * * [simplify]: Extracting #6: cost 9 inf + 1014 37.380 * * [simplify]: Extracting #7: cost 3 inf + 2116 37.381 * * [simplify]: Extracting #8: cost 0 inf + 2707 37.382 * [simplify]: Simplified to (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 37.382 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ 1 1)) (* (- phi1 phi2) (- phi1 phi2)))))) 37.383 * * * * [progress]: [ 108 / 151 ] simplifiying candidate # 37.383 * * * * [progress]: [ 109 / 151 ] simplifiying candidate # 37.383 * [simplify]: Simplifying (+ (+ (log (- lambda1 lambda2)) (log (cos (/ (+ phi1 phi2) 2)))) (+ (log (- lambda1 lambda2)) (log (cos (/ (+ phi1 phi2) 2))))) 37.383 * * [simplify]: iters left: 6 (13 enodes) 37.389 * * [simplify]: iters left: 5 (47 enodes) 37.403 * * [simplify]: iters left: 4 (62 enodes) 37.421 * * [simplify]: iters left: 3 (70 enodes) 37.438 * * [simplify]: iters left: 2 (71 enodes) 37.448 * * [simplify]: Extracting #0: cost 1 inf + 0 37.448 * * [simplify]: Extracting #1: cost 9 inf + 0 37.448 * * [simplify]: Extracting #2: cost 18 inf + 0 37.448 * * [simplify]: Extracting #3: cost 24 inf + 0 37.448 * * [simplify]: Extracting #4: cost 26 inf + 2 37.448 * * [simplify]: Extracting #5: cost 24 inf + 240 37.448 * * [simplify]: Extracting #6: cost 18 inf + 699 37.448 * * [simplify]: Extracting #7: cost 13 inf + 1092 37.449 * * [simplify]: Extracting #8: cost 3 inf + 4304 37.450 * * [simplify]: Extracting #9: cost 0 inf + 5327 37.451 * [simplify]: Simplified to (+ (+ (log (cos (/ (+ phi2 phi1) 2))) (log (- lambda1 lambda2))) (+ (log (cos (/ (+ phi2 phi1) 2))) (log (- lambda1 lambda2)))) 37.451 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (exp (+ (+ (log (cos (/ (+ phi2 phi1) 2))) (log (- lambda1 lambda2))) (+ (log (cos (/ (+ phi2 phi1) 2))) (log (- lambda1 lambda2))))) (* (- phi1 phi2) (- phi1 phi2)))))) 37.451 * * * * [progress]: [ 110 / 151 ] simplifiying candidate # 37.451 * [simplify]: Simplifying (+ (+ (log (- lambda1 lambda2)) (log (cos (/ (+ phi1 phi2) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) 37.451 * * [simplify]: iters left: 6 (15 enodes) 37.455 * * [simplify]: iters left: 5 (51 enodes) 37.462 * * [simplify]: iters left: 4 (70 enodes) 37.474 * * [simplify]: iters left: 3 (93 enodes) 37.498 * * [simplify]: iters left: 2 (106 enodes) 37.511 * * [simplify]: iters left: 1 (108 enodes) 37.522 * * [simplify]: Extracting #0: cost 1 inf + 0 37.522 * * [simplify]: Extracting #1: cost 9 inf + 0 37.522 * * [simplify]: Extracting #2: cost 19 inf + 0 37.522 * * [simplify]: Extracting #3: cost 29 inf + 0 37.522 * * [simplify]: Extracting #4: cost 35 inf + 2 37.523 * * [simplify]: Extracting #5: cost 32 inf + 504 37.523 * * [simplify]: Extracting #6: cost 28 inf + 699 37.523 * * [simplify]: Extracting #7: cost 23 inf + 1092 37.524 * * [simplify]: Extracting #8: cost 5 inf + 5975 37.525 * * [simplify]: Extracting #9: cost 0 inf + 7047 37.527 * [simplify]: Simplified to (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) 37.527 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (exp (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) 37.527 * * * * [progress]: [ 111 / 151 ] simplifiying candidate # 37.527 * [simplify]: Simplifying (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (log (- lambda1 lambda2)) (log (cos (/ (+ phi1 phi2) 2))))) 37.527 * * [simplify]: iters left: 6 (15 enodes) 37.531 * * [simplify]: iters left: 5 (51 enodes) 37.543 * * [simplify]: iters left: 4 (70 enodes) 37.564 * * [simplify]: iters left: 3 (94 enodes) 37.587 * * [simplify]: iters left: 2 (106 enodes) 37.613 * * [simplify]: iters left: 1 (108 enodes) 37.636 * * [simplify]: Extracting #0: cost 1 inf + 0 37.636 * * [simplify]: Extracting #1: cost 9 inf + 0 37.636 * * [simplify]: Extracting #2: cost 19 inf + 0 37.636 * * [simplify]: Extracting #3: cost 29 inf + 0 37.636 * * [simplify]: Extracting #4: cost 35 inf + 2 37.637 * * [simplify]: Extracting #5: cost 32 inf + 504 37.637 * * [simplify]: Extracting #6: cost 27 inf + 741 37.638 * * [simplify]: Extracting #7: cost 16 inf + 2506 37.640 * * [simplify]: Extracting #8: cost 4 inf + 6159 37.643 * * [simplify]: Extracting #9: cost 0 inf + 7047 37.645 * [simplify]: Simplified to (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) 37.646 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (exp (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) 37.646 * * * * [progress]: [ 112 / 151 ] simplifiying candidate # 37.647 * [simplify]: Simplifying (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) 37.647 * * [simplify]: iters left: 6 (12 enodes) 37.652 * * [simplify]: iters left: 5 (43 enodes) 37.665 * * [simplify]: iters left: 4 (61 enodes) 37.684 * * [simplify]: iters left: 3 (87 enodes) 37.706 * * [simplify]: iters left: 2 (104 enodes) 37.731 * * [simplify]: iters left: 1 (107 enodes) 37.757 * * [simplify]: Extracting #0: cost 1 inf + 0 37.757 * * [simplify]: Extracting #1: cost 9 inf + 0 37.757 * * [simplify]: Extracting #2: cost 19 inf + 0 37.758 * * [simplify]: Extracting #3: cost 29 inf + 0 37.758 * * [simplify]: Extracting #4: cost 35 inf + 2 37.758 * * [simplify]: Extracting #5: cost 34 inf + 239 37.758 * * [simplify]: Extracting #6: cost 28 inf + 589 37.759 * * [simplify]: Extracting #7: cost 19 inf + 1898 37.761 * * [simplify]: Extracting #8: cost 2 inf + 6307 37.763 * * [simplify]: Extracting #9: cost 0 inf + 7047 37.766 * [simplify]: Simplified to (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) 37.766 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (exp (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) 37.766 * * * * [progress]: [ 113 / 151 ] simplifiying candidate # 37.767 * * * * [progress]: [ 114 / 151 ] simplifiying candidate # 37.767 * * * * [progress]: [ 115 / 151 ] simplifiying candidate # 37.767 * [simplify]: Simplifying (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) 37.767 * * [simplify]: iters left: 6 (15 enodes) 37.775 * * [simplify]: iters left: 5 (62 enodes) 37.799 * * [simplify]: iters left: 4 (179 enodes) 37.947 * * [simplify]: Extracting #0: cost 1 inf + 0 37.947 * * [simplify]: Extracting #1: cost 48 inf + 0 37.947 * * [simplify]: Extracting #2: cost 228 inf + 0 37.949 * * [simplify]: Extracting #3: cost 234 inf + 2399 37.951 * * [simplify]: Extracting #4: cost 200 inf + 7307 37.959 * * [simplify]: Extracting #5: cost 134 inf + 26490 37.991 * * [simplify]: Extracting #6: cost 12 inf + 74024 38.034 * * [simplify]: Extracting #7: cost 0 inf + 77284 38.077 * * [simplify]: Extracting #8: cost 0 inf + 75804 38.120 * * [simplify]: Extracting #9: cost 0 inf + 75444 38.162 * [simplify]: Simplified to (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) 38.162 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (* (- phi1 phi2) (- phi1 phi2)))))) 38.162 * * * * [progress]: [ 116 / 151 ] simplifiying candidate # 38.162 * [simplify]: Simplifying (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) 38.163 * * [simplify]: iters left: 6 (18 enodes) 38.167 * * [simplify]: iters left: 5 (78 enodes) 38.182 * * [simplify]: iters left: 4 (221 enodes) 38.373 * * [simplify]: Extracting #0: cost 1 inf + 0 38.373 * * [simplify]: Extracting #1: cost 62 inf + 0 38.375 * * [simplify]: Extracting #2: cost 295 inf + 1 38.377 * * [simplify]: Extracting #3: cost 320 inf + 1026 38.382 * * [simplify]: Extracting #4: cost 308 inf + 4075 38.395 * * [simplify]: Extracting #5: cost 233 inf + 29260 38.448 * * [simplify]: Extracting #6: cost 22 inf + 107681 38.486 * * [simplify]: Extracting #7: cost 0 inf + 111191 38.529 * * [simplify]: Extracting #8: cost 0 inf + 110991 38.581 * [simplify]: Simplified to (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) 38.581 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) 38.581 * * * * [progress]: [ 117 / 151 ] simplifiying candidate # 38.582 * [simplify]: Simplifying (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) 38.582 * * [simplify]: iters left: 6 (18 enodes) 38.591 * * [simplify]: iters left: 5 (78 enodes) 38.625 * * [simplify]: iters left: 4 (227 enodes) 38.836 * * [simplify]: Extracting #0: cost 1 inf + 0 38.836 * * [simplify]: Extracting #1: cost 62 inf + 0 38.838 * * [simplify]: Extracting #2: cost 305 inf + 1 38.841 * * [simplify]: Extracting #3: cost 339 inf + 1146 38.845 * * [simplify]: Extracting #4: cost 314 inf + 4357 38.850 * * [simplify]: Extracting #5: cost 309 inf + 4776 38.854 * * [simplify]: Extracting #6: cost 307 inf + 4901 38.866 * * [simplify]: Extracting #7: cost 243 inf + 26198 38.895 * * [simplify]: Extracting #8: cost 33 inf + 101383 38.928 * * [simplify]: Extracting #9: cost 0 inf + 113366 38.967 * [simplify]: Simplified to (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) 38.967 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (* (- phi1 phi2) (- phi1 phi2)))))) 38.967 * * * * [progress]: [ 118 / 151 ] simplifiying candidate # 38.967 * [simplify]: Simplifying (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) 38.967 * * [simplify]: iters left: 6 (13 enodes) 38.971 * * [simplify]: iters left: 5 (59 enodes) 38.983 * * [simplify]: iters left: 4 (182 enodes) 39.128 * * [simplify]: Extracting #0: cost 1 inf + 0 39.128 * * [simplify]: Extracting #1: cost 44 inf + 0 39.129 * * [simplify]: Extracting #2: cost 209 inf + 2 39.131 * * [simplify]: Extracting #3: cost 245 inf + 910 39.134 * * [simplify]: Extracting #4: cost 224 inf + 3232 39.146 * * [simplify]: Extracting #5: cost 156 inf + 23601 39.173 * * [simplify]: Extracting #6: cost 7 inf + 74141 39.207 * * [simplify]: Extracting #7: cost 0 inf + 76796 39.253 * [simplify]: Simplified to (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) 39.253 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (* (- phi1 phi2) (- phi1 phi2)))))) 39.254 * * * * [progress]: [ 119 / 151 ] simplifiying candidate # 39.254 * * * * [progress]: [ 120 / 151 ] simplifiying candidate # 39.254 * * * * [progress]: [ 121 / 151 ] simplifiying candidate # 39.254 * * * * [progress]: [ 122 / 151 ] simplifiying candidate # 39.254 * [simplify]: Simplifying (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) 39.254 * * [simplify]: iters left: 6 (14 enodes) 39.262 * * [simplify]: iters left: 5 (65 enodes) 39.284 * * [simplify]: iters left: 4 (142 enodes) 39.329 * * [simplify]: Extracting #0: cost 1 inf + 0 39.329 * * [simplify]: Extracting #1: cost 27 inf + 0 39.329 * * [simplify]: Extracting #2: cost 67 inf + 0 39.329 * * [simplify]: Extracting #3: cost 174 inf + 0 39.330 * * [simplify]: Extracting #4: cost 172 inf + 2655 39.332 * * [simplify]: Extracting #5: cost 95 inf + 36352 39.342 * * [simplify]: Extracting #6: cost 11 inf + 68762 39.352 * * [simplify]: Extracting #7: cost 0 inf + 64036 39.368 * * [simplify]: Extracting #8: cost 0 inf + 63093 39.388 * [simplify]: Simplified to (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) 39.388 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- phi1 phi2)))))) 39.389 * [simplify]: Simplifying (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) 39.389 * * [simplify]: iters left: 6 (8 enodes) 39.393 * * [simplify]: iters left: 5 (37 enodes) 39.406 * * [simplify]: iters left: 4 (104 enodes) 39.450 * * [simplify]: iters left: 3 (447 enodes) 39.748 * * [simplify]: Extracting #0: cost 1 inf + 0 39.749 * * [simplify]: Extracting #1: cost 54 inf + 0 39.750 * * [simplify]: Extracting #2: cost 256 inf + 0 39.760 * * [simplify]: Extracting #3: cost 218 inf + 12248 39.775 * * [simplify]: Extracting #4: cost 46 inf + 55225 39.793 * * [simplify]: Extracting #5: cost 1 inf + 68115 39.830 * * [simplify]: Extracting #6: cost 0 inf + 67997 39.855 * [simplify]: Simplified to (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) 39.855 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (- phi1 phi2)))))) 39.855 * * * * [progress]: [ 123 / 151 ] simplifiying candidate # 39.855 * [simplify]: Simplifying (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) 39.855 * * [simplify]: iters left: 6 (18 enodes) 39.860 * * [simplify]: iters left: 5 (79 enodes) 39.879 * * [simplify]: iters left: 4 (170 enodes) 39.936 * * [simplify]: Extracting #0: cost 1 inf + 0 39.936 * * [simplify]: Extracting #1: cost 42 inf + 0 39.936 * * [simplify]: Extracting #2: cost 137 inf + 0 39.938 * * [simplify]: Extracting #3: cost 190 inf + 208 39.940 * * [simplify]: Extracting #4: cost 168 inf + 4633 39.945 * * [simplify]: Extracting #5: cost 107 inf + 22463 39.966 * * [simplify]: Extracting #6: cost 11 inf + 58811 39.985 * * [simplify]: Extracting #7: cost 0 inf + 63449 40.006 * [simplify]: Simplified to (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))))) 40.006 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (* (- phi1 phi2) (- phi1 phi2)))))) 40.007 * [simplify]: Simplifying (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) 40.007 * * [simplify]: iters left: 6 (9 enodes) 40.011 * * [simplify]: iters left: 5 (41 enodes) 40.025 * * [simplify]: iters left: 4 (101 enodes) 40.074 * * [simplify]: iters left: 3 (279 enodes) 40.179 * * [simplify]: Extracting #0: cost 1 inf + 0 40.179 * * [simplify]: Extracting #1: cost 29 inf + 0 40.179 * * [simplify]: Extracting #2: cost 116 inf + 0 40.180 * * [simplify]: Extracting #3: cost 114 inf + 414 40.183 * * [simplify]: Extracting #4: cost 73 inf + 5850 40.193 * * [simplify]: Extracting #5: cost 6 inf + 21554 40.205 * * [simplify]: Extracting #6: cost 0 inf + 23006 40.217 * [simplify]: Simplified to (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) 40.217 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (- phi1 phi2) (- phi1 phi2)))))) 40.217 * * * * [progress]: [ 124 / 151 ] simplifiying candidate # 40.218 * [simplify]: Simplifying (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) 40.218 * * [simplify]: iters left: 6 (18 enodes) 40.227 * * [simplify]: iters left: 5 (79 enodes) 40.255 * * [simplify]: iters left: 4 (170 enodes) 40.338 * * [simplify]: Extracting #0: cost 1 inf + 0 40.339 * * [simplify]: Extracting #1: cost 41 inf + 0 40.339 * * [simplify]: Extracting #2: cost 130 inf + 0 40.340 * * [simplify]: Extracting #3: cost 201 inf + 738 40.341 * * [simplify]: Extracting #4: cost 180 inf + 4064 40.344 * * [simplify]: Extracting #5: cost 110 inf + 27300 40.357 * * [simplify]: Extracting #6: cost 3 inf + 67769 40.380 * * [simplify]: Extracting #7: cost 0 inf + 68629 40.407 * [simplify]: Simplified to (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) 40.407 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- phi1 phi2)))))) 40.408 * [simplify]: Simplifying (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) 40.408 * * [simplify]: iters left: 6 (9 enodes) 40.410 * * [simplify]: iters left: 5 (41 enodes) 40.418 * * [simplify]: iters left: 4 (99 enodes) 40.440 * * [simplify]: iters left: 3 (265 enodes) 40.527 * * [simplify]: Extracting #0: cost 1 inf + 0 40.527 * * [simplify]: Extracting #1: cost 32 inf + 0 40.527 * * [simplify]: Extracting #2: cost 82 inf + 0 40.528 * * [simplify]: Extracting #3: cost 87 inf + 3 40.529 * * [simplify]: Extracting #4: cost 44 inf + 5974 40.534 * * [simplify]: Extracting #5: cost 3 inf + 14292 40.538 * * [simplify]: Extracting #6: cost 0 inf + 15178 40.541 * [simplify]: Simplified to (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)) 40.541 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- phi1 phi2) (- phi1 phi2)))))) 40.542 * * * * [progress]: [ 125 / 151 ] simplifiying candidate # 40.542 * [simplify]: Simplifying (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) 40.542 * * [simplify]: iters left: 6 (13 enodes) 40.545 * * [simplify]: iters left: 5 (53 enodes) 40.559 * * [simplify]: iters left: 4 (118 enodes) 40.624 * * [simplify]: iters left: 3 (498 enodes) 41.260 * * [simplify]: Extracting #0: cost 1 inf + 0 41.261 * * [simplify]: Extracting #1: cost 82 inf + 0 41.262 * * [simplify]: Extracting #2: cost 437 inf + 0 41.265 * * [simplify]: Extracting #3: cost 660 inf + 4629 41.274 * * [simplify]: Extracting #4: cost 507 inf + 29884 41.308 * * [simplify]: Extracting #5: cost 274 inf + 104553 41.399 * * [simplify]: Extracting #6: cost 8 inf + 199205 41.493 * * [simplify]: Extracting #7: cost 0 inf + 202325 41.566 * [simplify]: Simplified to (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) 41.566 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- phi1 phi2)))))) 41.567 * [simplify]: Simplifying (* (+ lambda1 lambda2) (+ lambda1 lambda2)) 41.567 * * [simplify]: iters left: 4 (4 enodes) 41.569 * * [simplify]: iters left: 3 (19 enodes) 41.575 * * [simplify]: iters left: 2 (41 enodes) 41.588 * * [simplify]: iters left: 1 (77 enodes) 41.608 * * [simplify]: Extracting #0: cost 1 inf + 0 41.608 * * [simplify]: Extracting #1: cost 11 inf + 0 41.608 * * [simplify]: Extracting #2: cost 29 inf + 0 41.608 * * [simplify]: Extracting #3: cost 24 inf + 127 41.609 * * [simplify]: Extracting #4: cost 4 inf + 1844 41.610 * * [simplify]: Extracting #5: cost 0 inf + 2332 41.612 * * [simplify]: Extracting #6: cost 0 inf + 2292 41.613 * [simplify]: Simplified to (* (+ lambda2 lambda1) (+ lambda2 lambda1)) 41.613 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (- phi1 phi2)))))) 41.613 * * * * [progress]: [ 126 / 151 ] simplifiying candidate # 41.613 * * * * [progress]: [ 127 / 151 ] simplifiying candidate # 41.613 * [simplify]: Simplifying (* (- lambda1 lambda2) (- lambda1 lambda2)) 41.613 * * [simplify]: iters left: 4 (4 enodes) 41.614 * * [simplify]: iters left: 3 (14 enodes) 41.616 * * [simplify]: iters left: 2 (23 enodes) 41.619 * * [simplify]: iters left: 1 (49 enodes) 41.630 * * [simplify]: Extracting #0: cost 1 inf + 0 41.630 * * [simplify]: Extracting #1: cost 17 inf + 0 41.630 * * [simplify]: Extracting #2: cost 32 inf + 0 41.632 * * [simplify]: Extracting #3: cost 30 inf + 43 41.633 * * [simplify]: Extracting #4: cost 7 inf + 2364 41.634 * * [simplify]: Extracting #5: cost 0 inf + 3176 41.635 * [simplify]: Simplified to (* (- lambda1 lambda2) (- lambda1 lambda2)) 41.635 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) 41.635 * [simplify]: Simplifying (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) 41.635 * * [simplify]: iters left: 6 (7 enodes) 41.638 * * [simplify]: iters left: 5 (22 enodes) 41.642 * * [simplify]: Extracting #0: cost 1 inf + 0 41.643 * * [simplify]: Extracting #1: cost 3 inf + 0 41.643 * * [simplify]: Extracting #2: cost 5 inf + 0 41.643 * * [simplify]: Extracting #3: cost 8 inf + 0 41.643 * * [simplify]: Extracting #4: cost 10 inf + 1 41.643 * * [simplify]: Extracting #5: cost 8 inf + 3 41.643 * * [simplify]: Extracting #6: cost 1 inf + 722 41.643 * * [simplify]: Extracting #7: cost 0 inf + 905 41.644 * [simplify]: Simplified to (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) 41.644 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) 41.644 * * * * [progress]: [ 128 / 151 ] simplifiying candidate # 41.645 * [simplify]: Simplifying (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 41.645 * * [simplify]: iters left: 6 (10 enodes) 41.650 * * [simplify]: iters left: 5 (34 enodes) 41.659 * * [simplify]: iters left: 4 (43 enodes) 41.672 * * [simplify]: iters left: 3 (57 enodes) 41.686 * * [simplify]: iters left: 2 (66 enodes) 41.695 * * [simplify]: iters left: 1 (68 enodes) 41.703 * * [simplify]: Extracting #0: cost 1 inf + 0 41.703 * * [simplify]: Extracting #1: cost 7 inf + 0 41.703 * * [simplify]: Extracting #2: cost 17 inf + 0 41.703 * * [simplify]: Extracting #3: cost 20 inf + 2 41.703 * * [simplify]: Extracting #4: cost 18 inf + 169 41.703 * * [simplify]: Extracting #5: cost 15 inf + 213 41.703 * * [simplify]: Extracting #6: cost 9 inf + 1014 41.704 * * [simplify]: Extracting #7: cost 3 inf + 2116 41.704 * * [simplify]: Extracting #8: cost 0 inf + 2707 41.705 * [simplify]: Simplified to (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 41.705 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* 2 1)) (* (- phi1 phi2) (- phi1 phi2)))))) 41.705 * [simplify]: Simplifying (* 2 1) 41.705 * * [simplify]: iters left: 2 (3 enodes) 41.706 * * [simplify]: iters left: 1 (9 enodes) 41.708 * * [simplify]: Extracting #0: cost 1 inf + 0 41.708 * * [simplify]: Extracting #1: cost 0 inf + 1 41.708 * [simplify]: Simplified to 2 41.708 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 2) (* (- phi1 phi2) (- phi1 phi2)))))) 41.708 * * * * [progress]: [ 129 / 151 ] simplifiying candidate # 41.708 * [simplify]: Simplifying (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 41.709 * * [simplify]: iters left: 6 (10 enodes) 41.711 * * [simplify]: iters left: 5 (34 enodes) 41.715 * * [simplify]: iters left: 4 (43 enodes) 41.722 * * [simplify]: iters left: 3 (57 enodes) 41.737 * * [simplify]: iters left: 2 (66 enodes) 41.753 * * [simplify]: iters left: 1 (68 enodes) 41.768 * * [simplify]: Extracting #0: cost 1 inf + 0 41.768 * * [simplify]: Extracting #1: cost 7 inf + 0 41.768 * * [simplify]: Extracting #2: cost 17 inf + 0 41.769 * * [simplify]: Extracting #3: cost 20 inf + 2 41.769 * * [simplify]: Extracting #4: cost 18 inf + 169 41.769 * * [simplify]: Extracting #5: cost 15 inf + 213 41.769 * * [simplify]: Extracting #6: cost 9 inf + 1014 41.770 * * [simplify]: Extracting #7: cost 3 inf + 2116 41.771 * * [simplify]: Extracting #8: cost 0 inf + 2707 41.772 * [simplify]: Simplified to (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 41.772 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* 2 1)) (* (- phi1 phi2) (- phi1 phi2)))))) 41.773 * [simplify]: Simplifying (* 2 1) 41.773 * * [simplify]: iters left: 2 (3 enodes) 41.775 * * [simplify]: iters left: 1 (9 enodes) 41.778 * * [simplify]: Extracting #0: cost 1 inf + 0 41.778 * * [simplify]: Extracting #1: cost 0 inf + 1 41.779 * [simplify]: Simplified to 2 41.779 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 2) (* (- phi1 phi2) (- phi1 phi2)))))) 41.779 * * * * [progress]: [ 130 / 151 ] simplifiying candidate # 41.779 * [simplify]: Simplifying (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 41.779 * * [simplify]: iters left: 6 (10 enodes) 41.784 * * [simplify]: iters left: 5 (34 enodes) 41.793 * * [simplify]: iters left: 4 (43 enodes) 41.803 * * [simplify]: iters left: 3 (57 enodes) 41.810 * * [simplify]: iters left: 2 (66 enodes) 41.818 * * [simplify]: iters left: 1 (68 enodes) 41.825 * * [simplify]: Extracting #0: cost 1 inf + 0 41.825 * * [simplify]: Extracting #1: cost 7 inf + 0 41.826 * * [simplify]: Extracting #2: cost 17 inf + 0 41.826 * * [simplify]: Extracting #3: cost 20 inf + 2 41.826 * * [simplify]: Extracting #4: cost 18 inf + 169 41.826 * * [simplify]: Extracting #5: cost 15 inf + 213 41.826 * * [simplify]: Extracting #6: cost 9 inf + 1014 41.826 * * [simplify]: Extracting #7: cost 3 inf + 2116 41.827 * * [simplify]: Extracting #8: cost 0 inf + 2707 41.828 * [simplify]: Simplified to (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 41.828 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* 2 1)) (* (- phi1 phi2) (- phi1 phi2)))))) 41.828 * [simplify]: Simplifying (* 2 1) 41.828 * * [simplify]: iters left: 2 (3 enodes) 41.829 * * [simplify]: iters left: 1 (9 enodes) 41.831 * * [simplify]: Extracting #0: cost 1 inf + 0 41.831 * * [simplify]: Extracting #1: cost 0 inf + 1 41.831 * [simplify]: Simplified to 2 41.831 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 2) (* (- phi1 phi2) (- phi1 phi2)))))) 41.831 * * * * [progress]: [ 131 / 151 ] simplifiying candidate # 41.831 * [simplify]: Simplifying (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 41.831 * * [simplify]: iters left: 6 (10 enodes) 41.835 * * [simplify]: iters left: 5 (34 enodes) 41.844 * * [simplify]: iters left: 4 (43 enodes) 41.857 * * [simplify]: iters left: 3 (57 enodes) 41.873 * * [simplify]: iters left: 2 (66 enodes) 41.885 * * [simplify]: iters left: 1 (68 enodes) 41.893 * * [simplify]: Extracting #0: cost 1 inf + 0 41.893 * * [simplify]: Extracting #1: cost 7 inf + 0 41.893 * * [simplify]: Extracting #2: cost 17 inf + 0 41.893 * * [simplify]: Extracting #3: cost 20 inf + 2 41.893 * * [simplify]: Extracting #4: cost 18 inf + 169 41.893 * * [simplify]: Extracting #5: cost 15 inf + 213 41.893 * * [simplify]: Extracting #6: cost 9 inf + 1014 41.894 * * [simplify]: Extracting #7: cost 3 inf + 2116 41.894 * * [simplify]: Extracting #8: cost 0 inf + 2707 41.895 * [simplify]: Simplified to (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 41.895 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* 2 1)) (* (- phi1 phi2) (- phi1 phi2)))))) 41.895 * [simplify]: Simplifying (* 2 1) 41.895 * * [simplify]: iters left: 2 (3 enodes) 41.896 * * [simplify]: iters left: 1 (9 enodes) 41.898 * * [simplify]: Extracting #0: cost 1 inf + 0 41.898 * * [simplify]: Extracting #1: cost 0 inf + 1 41.898 * [simplify]: Simplified to 2 41.898 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 2) (* (- phi1 phi2) (- phi1 phi2)))))) 41.898 * * * * [progress]: [ 132 / 151 ] simplifiying candidate # 41.899 * [simplify]: Simplifying (cos (/ (+ phi1 phi2) 2)) 41.899 * * [simplify]: iters left: 5 (6 enodes) 41.900 * * [simplify]: iters left: 4 (19 enodes) 41.905 * * [simplify]: Extracting #0: cost 1 inf + 0 41.905 * * [simplify]: Extracting #1: cost 3 inf + 0 41.905 * * [simplify]: Extracting #2: cost 6 inf + 0 41.905 * * [simplify]: Extracting #3: cost 8 inf + 1 41.905 * * [simplify]: Extracting #4: cost 6 inf + 3 41.906 * * [simplify]: Extracting #5: cost 0 inf + 539 41.906 * [simplify]: Simplified to (cos (/ (+ phi2 phi1) 2)) 41.906 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- phi1 phi2) (- phi1 phi2)))))) 41.906 * * * * [progress]: [ 133 / 151 ] simplifiying candidate # 41.906 * [simplify]: Simplifying (- lambda1 lambda2) 41.907 * * [simplify]: iters left: 2 (3 enodes) 41.908 * * [simplify]: iters left: 1 (11 enodes) 41.911 * * [simplify]: Extracting #0: cost 1 inf + 0 41.911 * * [simplify]: Extracting #1: cost 5 inf + 0 41.911 * * [simplify]: Extracting #2: cost 3 inf + 43 41.911 * * [simplify]: Extracting #3: cost 0 inf + 168 41.912 * [simplify]: Simplified to (- lambda1 lambda2) 41.912 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (- phi1 phi2) (- phi1 phi2)))))) 41.912 * * * * [progress]: [ 134 / 151 ] simplifiying candidate # 41.912 * [simplify]: Simplifying (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) 41.912 * * [simplify]: iters left: 6 (7 enodes) 41.916 * * [simplify]: iters left: 5 (28 enodes) 41.920 * * [simplify]: iters left: 4 (41 enodes) 41.925 * * [simplify]: iters left: 3 (44 enodes) 41.931 * * [simplify]: iters left: 2 (45 enodes) 41.936 * * [simplify]: Extracting #0: cost 1 inf + 0 41.936 * * [simplify]: Extracting #1: cost 8 inf + 0 41.936 * * [simplify]: Extracting #2: cost 17 inf + 0 41.936 * * [simplify]: Extracting #3: cost 14 inf + 84 41.936 * * [simplify]: Extracting #4: cost 7 inf + 576 41.937 * * [simplify]: Extracting #5: cost 1 inf + 1108 41.937 * * [simplify]: Extracting #6: cost 0 inf + 1230 41.937 * [simplify]: Simplified to (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) 41.937 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (- phi1 phi2) (- phi1 phi2)))))) 41.937 * * * * [progress]: [ 135 / 151 ] simplifiying candidate # 41.938 * [simplify]: Simplifying (+ lambda1 lambda2) 41.938 * * [simplify]: iters left: 2 (3 enodes) 41.938 * * [simplify]: iters left: 1 (10 enodes) 41.939 * * [simplify]: Extracting #0: cost 1 inf + 0 41.939 * * [simplify]: Extracting #1: cost 4 inf + 0 41.940 * * [simplify]: Extracting #2: cost 2 inf + 2 41.940 * * [simplify]: Extracting #3: cost 0 inf + 86 41.940 * [simplify]: Simplified to (+ lambda2 lambda1) 41.940 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ lambda2 lambda1)) (* (- phi1 phi2) (- phi1 phi2)))))) 41.940 * * * * [progress]: [ 136 / 151 ] simplifiying candidate # 41.940 * [simplify]: Simplifying (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 41.940 * * [simplify]: iters left: 6 (16 enodes) 41.945 * * [simplify]: iters left: 5 (72 enodes) 41.975 * * [simplify]: iters left: 4 (152 enodes) 42.050 * * [simplify]: iters left: 3 (473 enodes) 42.310 * * [simplify]: Extracting #0: cost 1 inf + 0 42.310 * * [simplify]: Extracting #1: cost 48 inf + 0 42.311 * * [simplify]: Extracting #2: cost 307 inf + 0 42.313 * * [simplify]: Extracting #3: cost 552 inf + 126 42.320 * * [simplify]: Extracting #4: cost 511 inf + 7460 42.329 * * [simplify]: Extracting #5: cost 332 inf + 73310 42.388 * * [simplify]: Extracting #6: cost 21 inf + 205020 42.456 * * [simplify]: Extracting #7: cost 0 inf + 214578 42.508 * [simplify]: Simplified to (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) 42.508 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- phi1 phi2)))))) 42.508 * * * * [progress]: [ 137 / 151 ] simplifiying candidate # 42.508 * [simplify]: Simplifying (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 42.509 * * [simplify]: iters left: 6 (15 enodes) 42.513 * * [simplify]: iters left: 5 (59 enodes) 42.529 * * [simplify]: iters left: 4 (120 enodes) 42.602 * * [simplify]: iters left: 3 (468 enodes) 43.115 * * [simplify]: Extracting #0: cost 1 inf + 0 43.115 * * [simplify]: Extracting #1: cost 48 inf + 0 43.117 * * [simplify]: Extracting #2: cost 335 inf + 0 43.121 * * [simplify]: Extracting #3: cost 480 inf + 1020 43.128 * * [simplify]: Extracting #4: cost 410 inf + 10678 43.153 * * [simplify]: Extracting #5: cost 258 inf + 53279 43.220 * * [simplify]: Extracting #6: cost 18 inf + 135116 43.266 * * [simplify]: Extracting #7: cost 0 inf + 141523 43.328 * [simplify]: Simplified to (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) 43.328 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- phi1 phi2)))))) 43.328 * * * * [progress]: [ 138 / 151 ] simplifiying candidate #real (real->posit16 (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))> 43.328 * * * * [progress]: [ 139 / 151 ] simplifiying candidate # 43.328 * * * * [progress]: [ 140 / 151 ] simplifiying candidate # 43.329 * [simplify]: Simplifying (- phi2 phi1) 43.329 * * [simplify]: iters left: 2 (3 enodes) 43.330 * * [simplify]: iters left: 1 (11 enodes) 43.333 * * [simplify]: Extracting #0: cost 1 inf + 0 43.333 * * [simplify]: Extracting #1: cost 5 inf + 0 43.333 * * [simplify]: Extracting #2: cost 3 inf + 43 43.333 * * [simplify]: Extracting #3: cost 0 inf + 168 43.333 * [simplify]: Simplified to (- phi2 phi1) 43.333 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- phi2 phi1))) 43.334 * * * * [progress]: [ 141 / 151 ] simplifiying candidate # 43.334 * [simplify]: Simplifying (- (+ (/ (* lambda2 (* phi1 phi2)) (* (cos (* 1/2 (+ phi1 phi2))) (pow lambda1 2))) (+ (/ (* phi1 phi2) (* (cos (* 1/2 (+ phi1 phi2))) lambda1)) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))) 43.334 * * [simplify]: iters left: 6 (20 enodes) 43.344 * * [simplify]: iters left: 5 (101 enodes) 43.361 * * [simplify]: iters left: 4 (236 enodes) 43.427 * * [simplify]: Extracting #0: cost 1 inf + 0 43.428 * * [simplify]: Extracting #1: cost 17 inf + 0 43.428 * * [simplify]: Extracting #2: cost 108 inf + 0 43.430 * * [simplify]: Extracting #3: cost 193 inf + 1478 43.432 * * [simplify]: Extracting #4: cost 170 inf + 5958 43.435 * * [simplify]: Extracting #5: cost 99 inf + 20187 43.445 * * [simplify]: Extracting #6: cost 5 inf + 47270 43.455 * * [simplify]: Extracting #7: cost 0 inf + 49274 43.472 * [simplify]: Simplified to (- (+ (* (/ phi2 (cos (* 1/2 (+ phi1 phi2)))) (+ (/ phi1 lambda1) (/ (* lambda2 phi1) (* lambda1 lambda1)))) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) 43.472 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- (+ (* (/ phi2 (cos (* 1/2 (+ phi1 phi2)))) (+ (/ phi1 lambda1) (/ (* lambda2 phi1) (* lambda1 lambda1)))) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))))) 43.472 * * * * [progress]: [ 142 / 151 ] simplifiying candidate # 43.472 * [simplify]: Simplifying (+ (/ (* lambda2 (* phi1 phi2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2))))) (+ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) (/ (* phi1 phi2) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))))) 43.473 * * [simplify]: iters left: 6 (19 enodes) 43.483 * * [simplify]: iters left: 5 (95 enodes) 43.515 * * [simplify]: iters left: 4 (213 enodes) 43.588 * * [simplify]: Extracting #0: cost 1 inf + 0 43.588 * * [simplify]: Extracting #1: cost 8 inf + 0 43.588 * * [simplify]: Extracting #2: cost 96 inf + 0 43.589 * * [simplify]: Extracting #3: cost 156 inf + 460 43.590 * * [simplify]: Extracting #4: cost 113 inf + 5242 43.592 * * [simplify]: Extracting #5: cost 93 inf + 7303 43.597 * * [simplify]: Extracting #6: cost 32 inf + 21983 43.607 * * [simplify]: Extracting #7: cost 1 inf + 30137 43.620 * * [simplify]: Extracting #8: cost 0 inf + 30482 43.632 * [simplify]: Simplified to (+ (* (cos (* (+ phi1 phi2) 1/2)) lambda2) (* (/ phi2 (cos (* (+ phi1 phi2) 1/2))) (+ (/ phi1 lambda1) (/ (* lambda2 phi1) (* lambda1 lambda1))))) 43.632 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (+ (* (cos (* (+ phi1 phi2) 1/2)) lambda2) (* (/ phi2 (cos (* (+ phi1 phi2) 1/2))) (+ (/ phi1 lambda1) (/ (* lambda2 phi1) (* lambda1 lambda1))))))) 43.632 * * * * [progress]: [ 143 / 151 ] simplifiying candidate # 43.633 * [simplify]: Simplifying (- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi1 2)))) 43.633 * * [simplify]: iters left: 6 (12 enodes) 43.643 * * [simplify]: iters left: 5 (52 enodes) 43.659 * * [simplify]: iters left: 4 (79 enodes) 43.684 * * [simplify]: iters left: 3 (149 enodes) 43.733 * * [simplify]: iters left: 2 (242 enodes) 43.811 * * [simplify]: iters left: 1 (300 enodes) 43.875 * * [simplify]: Extracting #0: cost 1 inf + 0 43.875 * * [simplify]: Extracting #1: cost 19 inf + 0 43.875 * * [simplify]: Extracting #2: cost 52 inf + 2 43.876 * * [simplify]: Extracting #3: cost 51 inf + 1156 43.877 * * [simplify]: Extracting #4: cost 13 inf + 4737 43.879 * * [simplify]: Extracting #5: cost 0 inf + 6466 43.881 * * [simplify]: Extracting #6: cost 0 inf + 6426 43.885 * [simplify]: Simplified to (- 1 (* phi1 (- (* phi2 1/4) (* phi1 -1/8)))) 43.885 * [simplify]: Simplified (2 2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (- 1 (* phi1 (- (* phi2 1/4) (* phi1 -1/8)))))) (* (- phi1 phi2) (- phi1 phi2)))))) 43.886 * * * * [progress]: [ 144 / 151 ] simplifiying candidate # 43.886 * [simplify]: Simplifying (cos (* 1/2 (+ phi1 phi2))) 43.886 * * [simplify]: iters left: 5 (6 enodes) 43.889 * * [simplify]: iters left: 4 (26 enodes) 43.898 * * [simplify]: iters left: 3 (36 enodes) 43.906 * * [simplify]: Extracting #0: cost 1 inf + 0 43.906 * * [simplify]: Extracting #1: cost 3 inf + 0 43.906 * * [simplify]: Extracting #2: cost 8 inf + 0 43.906 * * [simplify]: Extracting #3: cost 12 inf + 1 43.906 * * [simplify]: Extracting #4: cost 7 inf + 129 43.906 * * [simplify]: Extracting #5: cost 1 inf + 564 43.907 * * [simplify]: Extracting #6: cost 0 inf + 707 43.907 * [simplify]: Simplified to (cos (* (+ phi1 phi2) 1/2)) 43.907 * [simplify]: Simplified (2 2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (* (+ phi1 phi2) 1/2)))) (* (- phi1 phi2) (- phi1 phi2)))))) 43.907 * * * * [progress]: [ 145 / 151 ] simplifiying candidate # 43.908 * [simplify]: Simplifying (cos (* 1/2 (+ phi1 phi2))) 43.908 * * [simplify]: iters left: 5 (6 enodes) 43.910 * * [simplify]: iters left: 4 (26 enodes) 43.915 * * [simplify]: iters left: 3 (36 enodes) 43.920 * * [simplify]: Extracting #0: cost 1 inf + 0 43.920 * * [simplify]: Extracting #1: cost 3 inf + 0 43.920 * * [simplify]: Extracting #2: cost 8 inf + 0 43.920 * * [simplify]: Extracting #3: cost 12 inf + 1 43.920 * * [simplify]: Extracting #4: cost 7 inf + 129 43.920 * * [simplify]: Extracting #5: cost 1 inf + 564 43.920 * * [simplify]: Extracting #6: cost 0 inf + 707 43.921 * [simplify]: Simplified to (cos (* (+ phi1 phi2) 1/2)) 43.921 * [simplify]: Simplified (2 2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (* (+ phi1 phi2) 1/2)))) (* (- phi1 phi2) (- phi1 phi2)))))) 43.921 * * * * [progress]: [ 146 / 151 ] simplifiying candidate # 43.921 * [simplify]: Simplifying (- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi1 2)))) 43.921 * * [simplify]: iters left: 6 (12 enodes) 43.926 * * [simplify]: iters left: 5 (52 enodes) 43.937 * * [simplify]: iters left: 4 (79 enodes) 43.952 * * [simplify]: iters left: 3 (149 enodes) 43.993 * * [simplify]: iters left: 2 (242 enodes) 44.044 * * [simplify]: iters left: 1 (300 enodes) 44.103 * * [simplify]: Extracting #0: cost 1 inf + 0 44.103 * * [simplify]: Extracting #1: cost 19 inf + 0 44.103 * * [simplify]: Extracting #2: cost 52 inf + 2 44.104 * * [simplify]: Extracting #3: cost 51 inf + 1156 44.106 * * [simplify]: Extracting #4: cost 13 inf + 4737 44.110 * * [simplify]: Extracting #5: cost 0 inf + 6466 44.114 * * [simplify]: Extracting #6: cost 0 inf + 6426 44.117 * [simplify]: Simplified to (- 1 (* phi1 (- (* phi2 1/4) (* phi1 -1/8)))) 44.118 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (- 1 (* phi1 (- (* phi2 1/4) (* phi1 -1/8))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) 44.118 * * * * [progress]: [ 147 / 151 ] simplifiying candidate # 44.118 * [simplify]: Simplifying (cos (* 1/2 (+ phi1 phi2))) 44.118 * * [simplify]: iters left: 5 (6 enodes) 44.121 * * [simplify]: iters left: 4 (26 enodes) 44.130 * * [simplify]: iters left: 3 (36 enodes) 44.138 * * [simplify]: Extracting #0: cost 1 inf + 0 44.138 * * [simplify]: Extracting #1: cost 3 inf + 0 44.138 * * [simplify]: Extracting #2: cost 8 inf + 0 44.138 * * [simplify]: Extracting #3: cost 12 inf + 1 44.138 * * [simplify]: Extracting #4: cost 7 inf + 129 44.139 * * [simplify]: Extracting #5: cost 1 inf + 564 44.139 * * [simplify]: Extracting #6: cost 0 inf + 707 44.139 * [simplify]: Simplified to (cos (* (+ phi1 phi2) 1/2)) 44.139 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (* (+ phi1 phi2) 1/2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) 44.140 * * * * [progress]: [ 148 / 151 ] simplifiying candidate # 44.140 * [simplify]: Simplifying (cos (* 1/2 (+ phi1 phi2))) 44.140 * * [simplify]: iters left: 5 (6 enodes) 44.143 * * [simplify]: iters left: 4 (26 enodes) 44.152 * * [simplify]: iters left: 3 (36 enodes) 44.160 * * [simplify]: Extracting #0: cost 1 inf + 0 44.161 * * [simplify]: Extracting #1: cost 3 inf + 0 44.161 * * [simplify]: Extracting #2: cost 8 inf + 0 44.161 * * [simplify]: Extracting #3: cost 12 inf + 1 44.161 * * [simplify]: Extracting #4: cost 7 inf + 129 44.161 * * [simplify]: Extracting #5: cost 1 inf + 564 44.162 * * [simplify]: Extracting #6: cost 0 inf + 707 44.163 * [simplify]: Simplified to (cos (* (+ phi1 phi2) 1/2)) 44.163 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (* (+ phi1 phi2) 1/2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) 44.163 * * * * [progress]: [ 149 / 151 ] simplifiying candidate # 44.164 * [simplify]: Simplifying (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) 44.164 * * [simplify]: iters left: 6 (9 enodes) 44.172 * * [simplify]: iters left: 5 (44 enodes) 44.186 * * [simplify]: iters left: 4 (79 enodes) 44.198 * * [simplify]: iters left: 3 (132 enodes) 44.223 * * [simplify]: iters left: 2 (163 enodes) 44.247 * * [simplify]: iters left: 1 (181 enodes) 44.279 * * [simplify]: Extracting #0: cost 1 inf + 0 44.279 * * [simplify]: Extracting #1: cost 16 inf + 0 44.279 * * [simplify]: Extracting #2: cost 40 inf + 0 44.279 * * [simplify]: Extracting #3: cost 39 inf + 459 44.280 * * [simplify]: Extracting #4: cost 9 inf + 2922 44.281 * * [simplify]: Extracting #5: cost 0 inf + 4108 44.282 * [simplify]: Simplified to (+ (* lambda2 lambda2) (* (- lambda1 (* lambda2 2)) lambda1)) 44.282 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (+ (* lambda2 lambda2) (* (- lambda1 (* lambda2 2)) lambda1)) (* (- phi1 phi2) (- phi1 phi2)))))) 44.283 * * * * [progress]: [ 150 / 151 ] simplifiying candidate # 44.283 * [simplify]: Simplifying (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 44.283 * * [simplify]: iters left: 6 (19 enodes) 44.288 * * [simplify]: iters left: 5 (90 enodes) 44.309 * * [simplify]: iters left: 4 (186 enodes) 44.392 * * [simplify]: iters left: 3 (424 enodes) 44.555 * * [simplify]: Extracting #0: cost 1 inf + 0 44.555 * * [simplify]: Extracting #1: cost 18 inf + 0 44.555 * * [simplify]: Extracting #2: cost 130 inf + 0 44.557 * * [simplify]: Extracting #3: cost 220 inf + 212 44.559 * * [simplify]: Extracting #4: cost 201 inf + 1865 44.563 * * [simplify]: Extracting #5: cost 192 inf + 3783 44.570 * * [simplify]: Extracting #6: cost 122 inf + 19671 44.582 * * [simplify]: Extracting #7: cost 7 inf + 51028 44.595 * * [simplify]: Extracting #8: cost 0 inf + 53209 44.619 * [simplify]: Simplified to (* (* (cos (* (+ phi1 phi2) 1/2)) (cos (* (+ phi1 phi2) 1/2))) (+ (* lambda2 lambda2) (* lambda1 (- lambda1 (* lambda2 2))))) 44.619 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (cos (* (+ phi1 phi2) 1/2)) (cos (* (+ phi1 phi2) 1/2))) (+ (* lambda2 lambda2) (* lambda1 (- lambda1 (* lambda2 2))))) (* (- phi1 phi2) (- phi1 phi2)))))) 44.619 * * * * [progress]: [ 151 / 151 ] simplifiying candidate # 44.620 * [simplify]: Simplifying (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 44.620 * * [simplify]: iters left: 6 (19 enodes) 44.633 * * [simplify]: iters left: 5 (90 enodes) 44.650 * * [simplify]: iters left: 4 (186 enodes) 44.699 * * [simplify]: iters left: 3 (424 enodes) 44.878 * * [simplify]: Extracting #0: cost 1 inf + 0 44.879 * * [simplify]: Extracting #1: cost 18 inf + 0 44.879 * * [simplify]: Extracting #2: cost 130 inf + 0 44.881 * * [simplify]: Extracting #3: cost 220 inf + 212 44.883 * * [simplify]: Extracting #4: cost 201 inf + 1865 44.887 * * [simplify]: Extracting #5: cost 192 inf + 3783 44.899 * * [simplify]: Extracting #6: cost 122 inf + 19671 44.923 * * [simplify]: Extracting #7: cost 7 inf + 51028 44.949 * * [simplify]: Extracting #8: cost 0 inf + 53209 44.975 * [simplify]: Simplified to (* (* (cos (* (+ phi1 phi2) 1/2)) (cos (* (+ phi1 phi2) 1/2))) (+ (* lambda2 lambda2) (* lambda1 (- lambda1 (* lambda2 2))))) 44.975 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (cos (* (+ phi1 phi2) 1/2)) (cos (* (+ phi1 phi2) 1/2))) (+ (* lambda2 lambda2) (* lambda1 (- lambda1 (* lambda2 2))))) (* (- phi1 phi2) (- phi1 phi2)))))) 44.975 * * * [progress]: adding candidates to table 48.424 * * [progress]: iteration 2 / 4 48.424 * * * [progress]: picking best candidate 48.468 * * * * [pick]: Picked # 48.468 * * * [progress]: localizing error 48.563 * * * [progress]: generating rewritten candidates 48.563 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 48.961 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2 2 2 1) 48.975 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2 2 1 2 1) 48.990 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2 2 1 1 1) 49.011 * * * [progress]: generating series expansions 49.011 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 49.012 * [backup-simplify]: Simplify (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))) into (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) 49.012 * [approximate]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in (lambda1 lambda2 phi1 phi2) around 0 49.012 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in phi2 49.012 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in phi2 49.012 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in phi2 49.012 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in phi2 49.012 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 49.012 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 49.012 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 49.012 * [taylor]: Taking taylor expansion of 1/2 in phi2 49.012 * [backup-simplify]: Simplify 1/2 into 1/2 49.012 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 49.012 * [taylor]: Taking taylor expansion of phi1 in phi2 49.012 * [backup-simplify]: Simplify phi1 into phi1 49.012 * [taylor]: Taking taylor expansion of phi2 in phi2 49.012 * [backup-simplify]: Simplify 0 into 0 49.013 * [backup-simplify]: Simplify 1 into 1 49.013 * [backup-simplify]: Simplify (+ phi1 0) into phi1 49.013 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 49.013 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 49.013 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 49.013 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 49.013 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0 49.013 * [backup-simplify]: Simplify (- 0) into 0 49.013 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 49.013 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi2 49.013 * [taylor]: Taking taylor expansion of lambda1 in phi2 49.013 * [backup-simplify]: Simplify lambda1 into lambda1 49.013 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in phi2 49.013 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2 49.013 * [taylor]: Taking taylor expansion of phi2 in phi2 49.013 * [backup-simplify]: Simplify 0 into 0 49.013 * [backup-simplify]: Simplify 1 into 1 49.013 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in phi2 49.014 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi2 49.014 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi2 49.014 * [taylor]: Taking taylor expansion of lambda2 in phi2 49.014 * [backup-simplify]: Simplify lambda2 into lambda2 49.014 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 49.014 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 49.014 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 49.014 * [taylor]: Taking taylor expansion of 1/2 in phi2 49.014 * [backup-simplify]: Simplify 1/2 into 1/2 49.014 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 49.014 * [taylor]: Taking taylor expansion of phi1 in phi2 49.014 * [backup-simplify]: Simplify phi1 into phi1 49.014 * [taylor]: Taking taylor expansion of phi2 in phi2 49.014 * [backup-simplify]: Simplify 0 into 0 49.014 * [backup-simplify]: Simplify 1 into 1 49.014 * [backup-simplify]: Simplify (+ phi1 0) into phi1 49.014 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 49.014 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 49.014 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 49.014 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 49.014 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0 49.014 * [backup-simplify]: Simplify (- 0) into 0 49.014 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 49.014 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi2 49.014 * [taylor]: Taking taylor expansion of phi1 in phi2 49.014 * [backup-simplify]: Simplify phi1 into phi1 49.014 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in phi2 49.014 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi2 49.014 * [taylor]: Taking taylor expansion of 2 in phi2 49.014 * [backup-simplify]: Simplify 2 into 2 49.014 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi2 49.014 * [taylor]: Taking taylor expansion of phi1 in phi2 49.014 * [backup-simplify]: Simplify phi1 into phi1 49.014 * [taylor]: Taking taylor expansion of phi2 in phi2 49.014 * [backup-simplify]: Simplify 0 into 0 49.014 * [backup-simplify]: Simplify 1 into 1 49.015 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in phi2 49.015 * [taylor]: Taking taylor expansion of 2 in phi2 49.015 * [backup-simplify]: Simplify 2 into 2 49.015 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in phi2 49.015 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 49.015 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 49.015 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 49.015 * [taylor]: Taking taylor expansion of 1/2 in phi2 49.015 * [backup-simplify]: Simplify 1/2 into 1/2 49.015 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 49.015 * [taylor]: Taking taylor expansion of phi1 in phi2 49.015 * [backup-simplify]: Simplify phi1 into phi1 49.015 * [taylor]: Taking taylor expansion of phi2 in phi2 49.015 * [backup-simplify]: Simplify 0 into 0 49.015 * [backup-simplify]: Simplify 1 into 1 49.015 * [backup-simplify]: Simplify (+ phi1 0) into phi1 49.015 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 49.015 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 49.015 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 49.015 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 49.015 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0 49.015 * [backup-simplify]: Simplify (- 0) into 0 49.015 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 49.015 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi2 49.015 * [taylor]: Taking taylor expansion of lambda2 in phi2 49.015 * [backup-simplify]: Simplify lambda2 into lambda2 49.015 * [taylor]: Taking taylor expansion of lambda1 in phi2 49.015 * [backup-simplify]: Simplify lambda1 into lambda1 49.015 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2) 49.015 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 49.016 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) into (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) 49.016 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 49.016 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2) 49.016 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) 49.016 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 49.016 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) 49.016 * [backup-simplify]: Simplify (+ 0 (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) 49.016 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) 49.016 * [backup-simplify]: Simplify (* phi1 0) into 0 49.017 * [backup-simplify]: Simplify (* 2 0) into 0 49.017 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2) 49.017 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 49.017 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi1)) 2) (* lambda2 lambda1)) into (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)) 49.017 * [backup-simplify]: Simplify (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))) into (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))) 49.017 * [backup-simplify]: Simplify (+ 0 (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) into (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))) 49.018 * [backup-simplify]: Simplify (- (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) into (- (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) 49.018 * [backup-simplify]: Simplify (+ (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (- (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))) into (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) 49.019 * [backup-simplify]: Simplify (sqrt (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))) into (sqrt (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))) 49.019 * [backup-simplify]: Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0 49.019 * [backup-simplify]: Simplify (+ 0) into 0 49.019 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0 49.020 * [backup-simplify]: Simplify (+ 0 1) into 1 49.020 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi1)) into 1/2 49.020 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 49.021 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1))) 49.021 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1)))) 49.021 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1)))) 49.021 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) (- (* 1/2 (sin (* 1/2 phi1))))) (* (- (* 1/2 (sin (* 1/2 phi1)))) (cos (* 1/2 phi1)))) into (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) 49.021 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi1)) 2) 0) (* (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) (pow lambda1 2))) into (- (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2)))) 49.021 * [backup-simplify]: Simplify (+ 0) into 0 49.022 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0 49.022 * [backup-simplify]: Simplify (+ 0 1) into 1 49.022 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi1)) into 1/2 49.023 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 49.023 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1))) 49.023 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1)))) 49.023 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1)))) 49.023 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) (- (* 1/2 (sin (* 1/2 phi1))))) (* (- (* 1/2 (sin (* 1/2 phi1)))) (cos (* 1/2 phi1)))) into (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) 49.023 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 49.024 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) (* 0 (pow (cos (* 1/2 phi1)) 2))) into (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) 49.024 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 49.024 * [backup-simplify]: Simplify (+ (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) 0) into (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) 49.024 * [backup-simplify]: Simplify (+ 0 (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))) into (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) 49.024 * [backup-simplify]: Simplify (+ (- (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2)))) (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))) into (- (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))) 49.025 * [backup-simplify]: Simplify (+ (* phi1 1) (* 0 0)) into phi1 49.025 * [backup-simplify]: Simplify (+ (* 2 phi1) (* 0 0)) into (* 2 phi1) 49.025 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda1)) into 0 49.025 * [backup-simplify]: Simplify (+ 0) into 0 49.026 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0 49.026 * [backup-simplify]: Simplify (+ 0 1) into 1 49.026 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi1)) into 1/2 49.027 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 49.027 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1))) 49.027 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1)))) 49.027 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1)))) 49.027 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) (- (* 1/2 (sin (* 1/2 phi1))))) (* (- (* 1/2 (sin (* 1/2 phi1)))) (cos (* 1/2 phi1)))) into (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) 49.027 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi1)) 2) 0) (* (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) (* lambda2 lambda1))) into (- (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) 49.028 * [backup-simplify]: Simplify (+ (* 2 (- (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1))))) (* 0 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) into (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1))))) 49.028 * [backup-simplify]: Simplify (+ (* 2 phi1) (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))))) into (- (* 2 phi1) (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1))))) 49.028 * [backup-simplify]: Simplify (- (- (* 2 phi1) (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))))) into (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (* 2 phi1)) 49.029 * [backup-simplify]: Simplify (+ (- (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))) (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (* 2 phi1))) into (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (+ (* 2 phi1) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))))) 49.030 * [backup-simplify]: Simplify (/ (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (+ (* 2 phi1) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))))) (* 2 (sqrt (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))))) into (* 1/2 (* (sqrt (/ 1 (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))))) (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (+ (* 2 phi1) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))))))) 49.030 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in phi1 49.030 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in phi1 49.030 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in phi1 49.030 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in phi1 49.030 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 49.030 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 49.030 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 49.030 * [taylor]: Taking taylor expansion of 1/2 in phi1 49.030 * [backup-simplify]: Simplify 1/2 into 1/2 49.030 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 49.030 * [taylor]: Taking taylor expansion of phi1 in phi1 49.030 * [backup-simplify]: Simplify 0 into 0 49.030 * [backup-simplify]: Simplify 1 into 1 49.030 * [taylor]: Taking taylor expansion of phi2 in phi1 49.030 * [backup-simplify]: Simplify phi2 into phi2 49.030 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 49.030 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 49.030 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 49.030 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 49.030 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 49.030 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 49.030 * [backup-simplify]: Simplify (- 0) into 0 49.030 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 49.030 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi1 49.031 * [taylor]: Taking taylor expansion of lambda1 in phi1 49.031 * [backup-simplify]: Simplify lambda1 into lambda1 49.031 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in phi1 49.031 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 49.031 * [taylor]: Taking taylor expansion of phi2 in phi1 49.031 * [backup-simplify]: Simplify phi2 into phi2 49.031 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in phi1 49.031 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 49.031 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi1 49.031 * [taylor]: Taking taylor expansion of lambda2 in phi1 49.031 * [backup-simplify]: Simplify lambda2 into lambda2 49.031 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 49.031 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 49.031 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 49.031 * [taylor]: Taking taylor expansion of 1/2 in phi1 49.031 * [backup-simplify]: Simplify 1/2 into 1/2 49.031 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 49.031 * [taylor]: Taking taylor expansion of phi1 in phi1 49.031 * [backup-simplify]: Simplify 0 into 0 49.031 * [backup-simplify]: Simplify 1 into 1 49.031 * [taylor]: Taking taylor expansion of phi2 in phi1 49.031 * [backup-simplify]: Simplify phi2 into phi2 49.031 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 49.031 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 49.031 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 49.031 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 49.031 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 49.031 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 49.031 * [backup-simplify]: Simplify (- 0) into 0 49.031 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 49.031 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 49.031 * [taylor]: Taking taylor expansion of phi1 in phi1 49.031 * [backup-simplify]: Simplify 0 into 0 49.031 * [backup-simplify]: Simplify 1 into 1 49.031 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in phi1 49.031 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 49.032 * [taylor]: Taking taylor expansion of 2 in phi1 49.032 * [backup-simplify]: Simplify 2 into 2 49.032 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 49.032 * [taylor]: Taking taylor expansion of phi1 in phi1 49.032 * [backup-simplify]: Simplify 0 into 0 49.032 * [backup-simplify]: Simplify 1 into 1 49.032 * [taylor]: Taking taylor expansion of phi2 in phi1 49.032 * [backup-simplify]: Simplify phi2 into phi2 49.032 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in phi1 49.032 * [taylor]: Taking taylor expansion of 2 in phi1 49.032 * [backup-simplify]: Simplify 2 into 2 49.032 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in phi1 49.032 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 49.032 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 49.032 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 49.032 * [taylor]: Taking taylor expansion of 1/2 in phi1 49.032 * [backup-simplify]: Simplify 1/2 into 1/2 49.032 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 49.032 * [taylor]: Taking taylor expansion of phi1 in phi1 49.032 * [backup-simplify]: Simplify 0 into 0 49.032 * [backup-simplify]: Simplify 1 into 1 49.032 * [taylor]: Taking taylor expansion of phi2 in phi1 49.032 * [backup-simplify]: Simplify phi2 into phi2 49.032 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 49.032 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 49.032 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 49.032 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 49.032 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 49.032 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 49.032 * [backup-simplify]: Simplify (- 0) into 0 49.032 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 49.032 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi1 49.032 * [taylor]: Taking taylor expansion of lambda2 in phi1 49.032 * [backup-simplify]: Simplify lambda2 into lambda2 49.032 * [taylor]: Taking taylor expansion of lambda1 in phi1 49.032 * [backup-simplify]: Simplify lambda1 into lambda1 49.033 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 49.033 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 49.033 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) into (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) 49.033 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 49.033 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 49.033 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 49.033 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 phi2)) 2)) into (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) 49.033 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) 0) into (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) 49.033 * [backup-simplify]: Simplify (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) into (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) 49.033 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) into (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) 49.033 * [backup-simplify]: Simplify (* 0 phi2) into 0 49.034 * [backup-simplify]: Simplify (* 2 0) into 0 49.034 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 49.034 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 49.034 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) into (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) 49.034 * [backup-simplify]: Simplify (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) into (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) 49.034 * [backup-simplify]: Simplify (+ 0 (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) into (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) 49.034 * [backup-simplify]: Simplify (- (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) into (- (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) 49.035 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (- (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) into (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) 49.035 * [backup-simplify]: Simplify (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) into (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) 49.035 * [backup-simplify]: Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0 49.036 * [backup-simplify]: Simplify (+ 0) into 0 49.036 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 49.036 * [backup-simplify]: Simplify (+ 1 0) into 1 49.037 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 49.037 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 49.037 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 49.037 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 49.037 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 49.038 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) (- (* 1/2 (sin (* 1/2 phi2))))) (* (- (* 1/2 (sin (* 1/2 phi2)))) (cos (* 1/2 phi2)))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) 49.038 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) 0) (* (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) (pow lambda1 2))) into (- (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))))) 49.038 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 49.038 * [backup-simplify]: Simplify (+ 0) into 0 49.039 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 49.039 * [backup-simplify]: Simplify (+ 1 0) into 1 49.039 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 49.040 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 49.040 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 49.040 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 49.040 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 49.040 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) (- (* 1/2 (sin (* 1/2 phi2))))) (* (- (* 1/2 (sin (* 1/2 phi2)))) (cos (* 1/2 phi2)))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) 49.040 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 49.041 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))))) (* 0 (pow (cos (* 1/2 phi2)) 2))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))))) 49.042 * [backup-simplify]: Simplify (+ (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))))) 0) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))))) 49.043 * [backup-simplify]: Simplify (+ 0 (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))))))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))))) 49.044 * [backup-simplify]: Simplify (+ (- (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))))) (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))))))) into (- (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))))) 49.045 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 49.046 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 49.046 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda1)) into 0 49.046 * [backup-simplify]: Simplify (+ 0) into 0 49.047 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 49.047 * [backup-simplify]: Simplify (+ 1 0) into 1 49.048 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 49.049 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 49.049 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 49.049 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 49.049 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 49.050 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) (- (* 1/2 (sin (* 1/2 phi2))))) (* (- (* 1/2 (sin (* 1/2 phi2)))) (cos (* 1/2 phi2)))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) 49.050 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) 0) (* (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) (* lambda2 lambda1))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))))) 49.051 * [backup-simplify]: Simplify (+ (* 2 (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1))))))) (* 0 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) into (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1))))) 49.052 * [backup-simplify]: Simplify (+ (* 2 phi2) (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))))) into (- (* 2 phi2) (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1))))) 49.052 * [backup-simplify]: Simplify (- (- (* 2 phi2) (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))))) into (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (* 2 phi2)) 49.055 * [backup-simplify]: Simplify (+ (- (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))))) (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (* 2 phi2))) into (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* 2 phi2) (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2))))))))) 49.059 * [backup-simplify]: Simplify (/ (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* 2 phi2) (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2))))))))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) into (* 1/2 (* (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* 2 phi2) (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2))))))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))))) 49.059 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in lambda2 49.059 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in lambda2 49.059 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in lambda2 49.059 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in lambda2 49.059 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 49.059 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 49.059 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 49.059 * [taylor]: Taking taylor expansion of 1/2 in lambda2 49.059 * [backup-simplify]: Simplify 1/2 into 1/2 49.059 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 49.059 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.059 * [backup-simplify]: Simplify phi1 into phi1 49.059 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.059 * [backup-simplify]: Simplify phi2 into phi2 49.059 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 49.059 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 49.059 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 49.060 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 49.060 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 49.060 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 49.060 * [backup-simplify]: Simplify (- 0) into 0 49.060 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 49.060 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda2 49.060 * [taylor]: Taking taylor expansion of lambda1 in lambda2 49.061 * [backup-simplify]: Simplify lambda1 into lambda1 49.061 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 49.061 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 49.061 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.061 * [backup-simplify]: Simplify phi2 into phi2 49.061 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 49.061 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 49.061 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 49.061 * [taylor]: Taking taylor expansion of lambda2 in lambda2 49.061 * [backup-simplify]: Simplify 0 into 0 49.061 * [backup-simplify]: Simplify 1 into 1 49.061 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 49.061 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 49.061 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 49.061 * [taylor]: Taking taylor expansion of 1/2 in lambda2 49.061 * [backup-simplify]: Simplify 1/2 into 1/2 49.061 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 49.061 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.061 * [backup-simplify]: Simplify phi1 into phi1 49.061 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.061 * [backup-simplify]: Simplify phi2 into phi2 49.061 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 49.061 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 49.061 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 49.061 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 49.062 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 49.062 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 49.062 * [backup-simplify]: Simplify (- 0) into 0 49.062 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 49.062 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 49.062 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.062 * [backup-simplify]: Simplify phi1 into phi1 49.062 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in lambda2 49.062 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 49.062 * [taylor]: Taking taylor expansion of 2 in lambda2 49.062 * [backup-simplify]: Simplify 2 into 2 49.062 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 49.062 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.062 * [backup-simplify]: Simplify phi1 into phi1 49.062 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.063 * [backup-simplify]: Simplify phi2 into phi2 49.063 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in lambda2 49.063 * [taylor]: Taking taylor expansion of 2 in lambda2 49.063 * [backup-simplify]: Simplify 2 into 2 49.063 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in lambda2 49.063 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 49.063 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 49.063 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 49.063 * [taylor]: Taking taylor expansion of 1/2 in lambda2 49.063 * [backup-simplify]: Simplify 1/2 into 1/2 49.063 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 49.063 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.063 * [backup-simplify]: Simplify phi1 into phi1 49.063 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.063 * [backup-simplify]: Simplify phi2 into phi2 49.063 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 49.063 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 49.063 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 49.063 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 49.063 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 49.063 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 49.064 * [backup-simplify]: Simplify (- 0) into 0 49.064 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 49.064 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda2 49.064 * [taylor]: Taking taylor expansion of lambda2 in lambda2 49.064 * [backup-simplify]: Simplify 0 into 0 49.064 * [backup-simplify]: Simplify 1 into 1 49.064 * [taylor]: Taking taylor expansion of lambda1 in lambda2 49.064 * [backup-simplify]: Simplify lambda1 into lambda1 49.064 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 49.064 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 49.064 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) into (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 49.064 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 49.065 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 49.065 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 49.065 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 49.065 * [backup-simplify]: Simplify (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (+ (pow phi2 2) (pow phi1 2))) into (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 49.065 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 49.065 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 49.065 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 49.065 * [backup-simplify]: Simplify (* 0 lambda1) into 0 49.066 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0 49.066 * [backup-simplify]: Simplify (* 2 0) into 0 49.066 * [backup-simplify]: Simplify (+ (* 2 (* phi1 phi2)) 0) into (* 2 (* phi1 phi2)) 49.066 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 49.067 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2))) 49.068 * [backup-simplify]: Simplify (sqrt (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))) 49.068 * [backup-simplify]: Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0 49.068 * [backup-simplify]: Simplify (+ 0) into 0 49.069 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 49.069 * [backup-simplify]: Simplify (+ 0 0) into 0 49.069 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 49.070 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.071 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 49.071 * [backup-simplify]: Simplify (- 0) into 0 49.071 * [backup-simplify]: Simplify (+ 0 0) into 0 49.072 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 49.072 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) (* 0 (pow lambda1 2))) into 0 49.072 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 49.072 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 49.072 * [backup-simplify]: Simplify (+ 0 0) into 0 49.073 * [backup-simplify]: Simplify (+ 0 0) into 0 49.073 * [backup-simplify]: Simplify (+ 0 0) into 0 49.073 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 49.074 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 49.074 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda1)) into lambda1 49.074 * [backup-simplify]: Simplify (+ 0) into 0 49.075 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 49.075 * [backup-simplify]: Simplify (+ 0 0) into 0 49.076 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 49.076 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.077 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 49.077 * [backup-simplify]: Simplify (- 0) into 0 49.078 * [backup-simplify]: Simplify (+ 0 0) into 0 49.078 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 49.078 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1) (* 0 0)) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1) 49.079 * [backup-simplify]: Simplify (+ (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)) (* 0 0)) into (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)) 49.079 * [backup-simplify]: Simplify (+ 0 (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) into (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)) 49.080 * [backup-simplify]: Simplify (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) into (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) 49.080 * [backup-simplify]: Simplify (+ 0 (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)))) into (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) 49.081 * [backup-simplify]: Simplify (/ (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))))) into (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2))))))) 49.081 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in lambda1 49.081 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in lambda1 49.081 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in lambda1 49.081 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in lambda1 49.081 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 49.081 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 49.081 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 49.081 * [taylor]: Taking taylor expansion of 1/2 in lambda1 49.081 * [backup-simplify]: Simplify 1/2 into 1/2 49.081 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 49.081 * [taylor]: Taking taylor expansion of phi1 in lambda1 49.081 * [backup-simplify]: Simplify phi1 into phi1 49.081 * [taylor]: Taking taylor expansion of phi2 in lambda1 49.081 * [backup-simplify]: Simplify phi2 into phi2 49.081 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 49.081 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 49.082 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 49.082 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 49.082 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 49.082 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 49.082 * [backup-simplify]: Simplify (- 0) into 0 49.082 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 49.082 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 49.082 * [taylor]: Taking taylor expansion of lambda1 in lambda1 49.082 * [backup-simplify]: Simplify 0 into 0 49.082 * [backup-simplify]: Simplify 1 into 1 49.082 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda1 49.083 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 49.083 * [taylor]: Taking taylor expansion of phi2 in lambda1 49.083 * [backup-simplify]: Simplify phi2 into phi2 49.083 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda1 49.083 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 49.083 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 49.083 * [taylor]: Taking taylor expansion of lambda2 in lambda1 49.083 * [backup-simplify]: Simplify lambda2 into lambda2 49.083 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 49.083 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 49.083 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 49.083 * [taylor]: Taking taylor expansion of 1/2 in lambda1 49.083 * [backup-simplify]: Simplify 1/2 into 1/2 49.083 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 49.083 * [taylor]: Taking taylor expansion of phi1 in lambda1 49.083 * [backup-simplify]: Simplify phi1 into phi1 49.083 * [taylor]: Taking taylor expansion of phi2 in lambda1 49.083 * [backup-simplify]: Simplify phi2 into phi2 49.083 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 49.083 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 49.083 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 49.083 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 49.083 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 49.084 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 49.084 * [backup-simplify]: Simplify (- 0) into 0 49.084 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 49.084 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 49.084 * [taylor]: Taking taylor expansion of phi1 in lambda1 49.084 * [backup-simplify]: Simplify phi1 into phi1 49.084 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in lambda1 49.084 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda1 49.084 * [taylor]: Taking taylor expansion of 2 in lambda1 49.084 * [backup-simplify]: Simplify 2 into 2 49.084 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 49.084 * [taylor]: Taking taylor expansion of phi1 in lambda1 49.084 * [backup-simplify]: Simplify phi1 into phi1 49.084 * [taylor]: Taking taylor expansion of phi2 in lambda1 49.084 * [backup-simplify]: Simplify phi2 into phi2 49.084 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in lambda1 49.084 * [taylor]: Taking taylor expansion of 2 in lambda1 49.085 * [backup-simplify]: Simplify 2 into 2 49.085 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in lambda1 49.085 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 49.085 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 49.085 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 49.085 * [taylor]: Taking taylor expansion of 1/2 in lambda1 49.085 * [backup-simplify]: Simplify 1/2 into 1/2 49.085 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 49.085 * [taylor]: Taking taylor expansion of phi1 in lambda1 49.085 * [backup-simplify]: Simplify phi1 into phi1 49.085 * [taylor]: Taking taylor expansion of phi2 in lambda1 49.085 * [backup-simplify]: Simplify phi2 into phi2 49.085 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 49.085 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 49.085 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 49.085 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 49.085 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 49.085 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 49.086 * [backup-simplify]: Simplify (- 0) into 0 49.086 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 49.086 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1 49.086 * [taylor]: Taking taylor expansion of lambda2 in lambda1 49.086 * [backup-simplify]: Simplify lambda2 into lambda2 49.086 * [taylor]: Taking taylor expansion of lambda1 in lambda1 49.086 * [backup-simplify]: Simplify 0 into 0 49.086 * [backup-simplify]: Simplify 1 into 1 49.086 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 49.086 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 49.086 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 49.086 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 49.087 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 49.087 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) 49.087 * [backup-simplify]: Simplify (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 49.088 * [backup-simplify]: Simplify (+ 0 (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 49.088 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 49.088 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 49.088 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 49.088 * [backup-simplify]: Simplify (* lambda2 0) into 0 49.088 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0 49.089 * [backup-simplify]: Simplify (* 2 0) into 0 49.089 * [backup-simplify]: Simplify (+ (* 2 (* phi1 phi2)) 0) into (* 2 (* phi1 phi2)) 49.089 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 49.090 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 49.090 * [backup-simplify]: Simplify (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) 49.090 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 49.094 * [backup-simplify]: Simplify (+ 0) into 0 49.095 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 49.095 * [backup-simplify]: Simplify (+ 0 0) into 0 49.096 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 49.097 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.097 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 49.098 * [backup-simplify]: Simplify (- 0) into 0 49.098 * [backup-simplify]: Simplify (+ 0 0) into 0 49.098 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 49.098 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 49.098 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into 0 49.099 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 49.099 * [backup-simplify]: Simplify (+ 0 0) into 0 49.099 * [backup-simplify]: Simplify (+ 0 0) into 0 49.100 * [backup-simplify]: Simplify (+ 0 0) into 0 49.100 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 49.101 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 49.101 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 49.101 * [backup-simplify]: Simplify (+ 0) into 0 49.102 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 49.102 * [backup-simplify]: Simplify (+ 0 0) into 0 49.103 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 49.103 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.104 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 49.104 * [backup-simplify]: Simplify (- 0) into 0 49.105 * [backup-simplify]: Simplify (+ 0 0) into 0 49.105 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 49.105 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) (* 0 0)) into (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 49.106 * [backup-simplify]: Simplify (+ (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 0 0)) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 49.106 * [backup-simplify]: Simplify (+ 0 (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 49.107 * [backup-simplify]: Simplify (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 49.107 * [backup-simplify]: Simplify (+ 0 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 49.108 * [backup-simplify]: Simplify (/ (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) 49.108 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in lambda1 49.108 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in lambda1 49.108 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in lambda1 49.108 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in lambda1 49.108 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 49.108 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 49.108 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 49.108 * [taylor]: Taking taylor expansion of 1/2 in lambda1 49.108 * [backup-simplify]: Simplify 1/2 into 1/2 49.108 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 49.108 * [taylor]: Taking taylor expansion of phi1 in lambda1 49.108 * [backup-simplify]: Simplify phi1 into phi1 49.108 * [taylor]: Taking taylor expansion of phi2 in lambda1 49.108 * [backup-simplify]: Simplify phi2 into phi2 49.108 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 49.108 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 49.109 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 49.109 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 49.109 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 49.109 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 49.109 * [backup-simplify]: Simplify (- 0) into 0 49.109 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 49.110 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 49.110 * [taylor]: Taking taylor expansion of lambda1 in lambda1 49.110 * [backup-simplify]: Simplify 0 into 0 49.110 * [backup-simplify]: Simplify 1 into 1 49.110 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda1 49.110 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 49.110 * [taylor]: Taking taylor expansion of phi2 in lambda1 49.110 * [backup-simplify]: Simplify phi2 into phi2 49.110 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda1 49.110 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 49.110 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 49.110 * [taylor]: Taking taylor expansion of lambda2 in lambda1 49.110 * [backup-simplify]: Simplify lambda2 into lambda2 49.110 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 49.110 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 49.110 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 49.110 * [taylor]: Taking taylor expansion of 1/2 in lambda1 49.110 * [backup-simplify]: Simplify 1/2 into 1/2 49.110 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 49.110 * [taylor]: Taking taylor expansion of phi1 in lambda1 49.110 * [backup-simplify]: Simplify phi1 into phi1 49.110 * [taylor]: Taking taylor expansion of phi2 in lambda1 49.110 * [backup-simplify]: Simplify phi2 into phi2 49.110 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 49.110 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 49.110 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 49.110 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 49.111 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 49.111 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 49.111 * [backup-simplify]: Simplify (- 0) into 0 49.111 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 49.111 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 49.111 * [taylor]: Taking taylor expansion of phi1 in lambda1 49.111 * [backup-simplify]: Simplify phi1 into phi1 49.111 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in lambda1 49.111 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda1 49.111 * [taylor]: Taking taylor expansion of 2 in lambda1 49.111 * [backup-simplify]: Simplify 2 into 2 49.111 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 49.111 * [taylor]: Taking taylor expansion of phi1 in lambda1 49.111 * [backup-simplify]: Simplify phi1 into phi1 49.111 * [taylor]: Taking taylor expansion of phi2 in lambda1 49.111 * [backup-simplify]: Simplify phi2 into phi2 49.112 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in lambda1 49.112 * [taylor]: Taking taylor expansion of 2 in lambda1 49.112 * [backup-simplify]: Simplify 2 into 2 49.112 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in lambda1 49.112 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 49.112 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 49.112 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 49.112 * [taylor]: Taking taylor expansion of 1/2 in lambda1 49.112 * [backup-simplify]: Simplify 1/2 into 1/2 49.112 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 49.112 * [taylor]: Taking taylor expansion of phi1 in lambda1 49.112 * [backup-simplify]: Simplify phi1 into phi1 49.112 * [taylor]: Taking taylor expansion of phi2 in lambda1 49.112 * [backup-simplify]: Simplify phi2 into phi2 49.112 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 49.112 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 49.112 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 49.112 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 49.112 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 49.112 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 49.113 * [backup-simplify]: Simplify (- 0) into 0 49.113 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 49.113 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1 49.113 * [taylor]: Taking taylor expansion of lambda2 in lambda1 49.113 * [backup-simplify]: Simplify lambda2 into lambda2 49.113 * [taylor]: Taking taylor expansion of lambda1 in lambda1 49.113 * [backup-simplify]: Simplify 0 into 0 49.113 * [backup-simplify]: Simplify 1 into 1 49.113 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 49.113 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 49.113 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 49.113 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 49.114 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 49.114 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) 49.114 * [backup-simplify]: Simplify (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 49.115 * [backup-simplify]: Simplify (+ 0 (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 49.115 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 49.115 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 49.115 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 49.115 * [backup-simplify]: Simplify (* lambda2 0) into 0 49.115 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0 49.116 * [backup-simplify]: Simplify (* 2 0) into 0 49.116 * [backup-simplify]: Simplify (+ (* 2 (* phi1 phi2)) 0) into (* 2 (* phi1 phi2)) 49.116 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 49.117 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 49.117 * [backup-simplify]: Simplify (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) 49.117 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 49.118 * [backup-simplify]: Simplify (+ 0) into 0 49.119 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 49.119 * [backup-simplify]: Simplify (+ 0 0) into 0 49.120 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 49.120 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.121 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 49.121 * [backup-simplify]: Simplify (- 0) into 0 49.122 * [backup-simplify]: Simplify (+ 0 0) into 0 49.122 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 49.122 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 49.122 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into 0 49.122 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 49.123 * [backup-simplify]: Simplify (+ 0 0) into 0 49.123 * [backup-simplify]: Simplify (+ 0 0) into 0 49.123 * [backup-simplify]: Simplify (+ 0 0) into 0 49.123 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 49.124 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 49.124 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 49.125 * [backup-simplify]: Simplify (+ 0) into 0 49.125 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 49.126 * [backup-simplify]: Simplify (+ 0 0) into 0 49.126 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 49.127 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.127 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 49.128 * [backup-simplify]: Simplify (- 0) into 0 49.128 * [backup-simplify]: Simplify (+ 0 0) into 0 49.128 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 49.129 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) (* 0 0)) into (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 49.130 * [backup-simplify]: Simplify (+ (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 0 0)) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 49.130 * [backup-simplify]: Simplify (+ 0 (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 49.130 * [backup-simplify]: Simplify (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 49.131 * [backup-simplify]: Simplify (+ 0 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 49.132 * [backup-simplify]: Simplify (/ (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) 49.132 * [taylor]: Taking taylor expansion of (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 49.132 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 49.132 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 49.132 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 49.132 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.132 * [backup-simplify]: Simplify phi2 into phi2 49.132 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 49.132 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 49.132 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 49.132 * [taylor]: Taking taylor expansion of lambda2 in lambda2 49.132 * [backup-simplify]: Simplify 0 into 0 49.132 * [backup-simplify]: Simplify 1 into 1 49.132 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 49.132 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 49.132 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 49.132 * [taylor]: Taking taylor expansion of 1/2 in lambda2 49.132 * [backup-simplify]: Simplify 1/2 into 1/2 49.132 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 49.132 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.132 * [backup-simplify]: Simplify phi1 into phi1 49.132 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.132 * [backup-simplify]: Simplify phi2 into phi2 49.132 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 49.132 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 49.132 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 49.132 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 49.133 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 49.133 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 49.133 * [backup-simplify]: Simplify (- 0) into 0 49.133 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 49.133 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 49.133 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.133 * [backup-simplify]: Simplify phi1 into phi1 49.133 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 49.133 * [taylor]: Taking taylor expansion of 2 in lambda2 49.133 * [backup-simplify]: Simplify 2 into 2 49.133 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 49.133 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.133 * [backup-simplify]: Simplify phi1 into phi1 49.133 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.133 * [backup-simplify]: Simplify phi2 into phi2 49.133 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 49.133 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 49.133 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 49.133 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 49.133 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 49.133 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 49.134 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 49.134 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 49.134 * [backup-simplify]: Simplify (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 49.134 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 49.134 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 49.134 * [backup-simplify]: Simplify (+ 0 0) into 0 49.134 * [backup-simplify]: Simplify (+ 0 0) into 0 49.134 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 49.135 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 49.135 * [backup-simplify]: Simplify (- 0) into 0 49.135 * [backup-simplify]: Simplify (+ 0 0) into 0 49.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into 0 49.135 * [taylor]: Taking taylor expansion of (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1 49.135 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1 49.135 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1 49.135 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 49.135 * [taylor]: Taking taylor expansion of phi2 in phi1 49.135 * [backup-simplify]: Simplify phi2 into phi2 49.135 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 49.135 * [taylor]: Taking taylor expansion of phi1 in phi1 49.136 * [backup-simplify]: Simplify 0 into 0 49.136 * [backup-simplify]: Simplify 1 into 1 49.136 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 49.136 * [taylor]: Taking taylor expansion of 2 in phi1 49.136 * [backup-simplify]: Simplify 2 into 2 49.136 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 49.136 * [taylor]: Taking taylor expansion of phi1 in phi1 49.136 * [backup-simplify]: Simplify 0 into 0 49.136 * [backup-simplify]: Simplify 1 into 1 49.136 * [taylor]: Taking taylor expansion of phi2 in phi1 49.136 * [backup-simplify]: Simplify phi2 into phi2 49.136 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 49.136 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 49.136 * [backup-simplify]: Simplify (* 0 phi2) into 0 49.136 * [backup-simplify]: Simplify (* 2 0) into 0 49.136 * [backup-simplify]: Simplify (- 0) into 0 49.136 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 49.136 * [backup-simplify]: Simplify (sqrt (pow phi2 2)) into phi2 49.136 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 49.137 * [backup-simplify]: Simplify (+ 0 0) into 0 49.137 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 49.137 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 49.137 * [backup-simplify]: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) 49.137 * [backup-simplify]: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) 49.137 * [backup-simplify]: Simplify (/ (- (* 2 phi2)) (* 2 (sqrt (pow phi2 2)))) into -1 49.137 * [taylor]: Taking taylor expansion of phi2 in phi2 49.137 * [backup-simplify]: Simplify 0 into 0 49.137 * [backup-simplify]: Simplify 1 into 1 49.137 * [backup-simplify]: Simplify 0 into 0 49.137 * [taylor]: Taking taylor expansion of (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) in lambda2 49.138 * [taylor]: Taking taylor expansion of -1 in lambda2 49.138 * [backup-simplify]: Simplify -1 into -1 49.138 * [taylor]: Taking taylor expansion of (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) in lambda2 49.138 * [taylor]: Taking taylor expansion of (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 49.138 * [taylor]: Taking taylor expansion of lambda2 in lambda2 49.138 * [backup-simplify]: Simplify 0 into 0 49.138 * [backup-simplify]: Simplify 1 into 1 49.138 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 49.138 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 49.138 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 49.138 * [taylor]: Taking taylor expansion of 1/2 in lambda2 49.138 * [backup-simplify]: Simplify 1/2 into 1/2 49.138 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 49.138 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.138 * [backup-simplify]: Simplify phi1 into phi1 49.138 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.138 * [backup-simplify]: Simplify phi2 into phi2 49.138 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 49.138 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 49.138 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 49.138 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 49.138 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 49.138 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 49.138 * [backup-simplify]: Simplify (- 0) into 0 49.138 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 49.138 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2 49.138 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 49.138 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 49.138 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 49.138 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 49.139 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.139 * [backup-simplify]: Simplify phi2 into phi2 49.139 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 49.139 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 49.139 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 49.139 * [taylor]: Taking taylor expansion of lambda2 in lambda2 49.139 * [backup-simplify]: Simplify 0 into 0 49.139 * [backup-simplify]: Simplify 1 into 1 49.139 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 49.139 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 49.139 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 49.139 * [taylor]: Taking taylor expansion of 1/2 in lambda2 49.139 * [backup-simplify]: Simplify 1/2 into 1/2 49.139 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 49.139 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.139 * [backup-simplify]: Simplify phi1 into phi1 49.139 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.139 * [backup-simplify]: Simplify phi2 into phi2 49.139 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 49.139 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 49.139 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 49.139 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 49.139 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 49.139 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 49.139 * [backup-simplify]: Simplify (- 0) into 0 49.139 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 49.139 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 49.139 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.139 * [backup-simplify]: Simplify phi1 into phi1 49.139 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 49.139 * [taylor]: Taking taylor expansion of 2 in lambda2 49.139 * [backup-simplify]: Simplify 2 into 2 49.139 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 49.140 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.140 * [backup-simplify]: Simplify phi1 into phi1 49.140 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.140 * [backup-simplify]: Simplify phi2 into phi2 49.140 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 49.140 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 49.140 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 49.140 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 49.140 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 49.140 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 49.140 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 49.140 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 49.140 * [backup-simplify]: Simplify (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 49.140 * [backup-simplify]: Simplify (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) into (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) 49.140 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 49.140 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 49.141 * [backup-simplify]: Simplify (+ 0 0) into 0 49.141 * [backup-simplify]: Simplify (+ 0 0) into 0 49.141 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 49.141 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 49.141 * [backup-simplify]: Simplify (- 0) into 0 49.142 * [backup-simplify]: Simplify (+ 0 0) into 0 49.142 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) (/ 0 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into 0 49.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into 0 49.142 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 49.142 * [backup-simplify]: Simplify (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into 0 49.143 * [backup-simplify]: Simplify (* 0 (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into 0 49.143 * [backup-simplify]: Simplify (* -1 0) into 0 49.143 * [taylor]: Taking taylor expansion of 0 in phi1 49.143 * [backup-simplify]: Simplify 0 into 0 49.143 * [taylor]: Taking taylor expansion of 0 in phi2 49.143 * [backup-simplify]: Simplify 0 into 0 49.143 * [backup-simplify]: Simplify 0 into 0 49.143 * [taylor]: Taking taylor expansion of 0 in phi1 49.143 * [backup-simplify]: Simplify 0 into 0 49.143 * [taylor]: Taking taylor expansion of 0 in phi2 49.143 * [backup-simplify]: Simplify 0 into 0 49.143 * [backup-simplify]: Simplify 0 into 0 49.143 * [taylor]: Taking taylor expansion of -1 in phi2 49.143 * [backup-simplify]: Simplify -1 into -1 49.143 * [backup-simplify]: Simplify -1 into -1 49.143 * [backup-simplify]: Simplify 1 into 1 49.143 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 49.143 * [backup-simplify]: Simplify (* 1 1) into 1 49.144 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 49.144 * [backup-simplify]: Simplify (+ (* phi2 0) (+ (* 0 0) (* 0 phi2))) into 0 49.144 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 49.145 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 49.145 * [backup-simplify]: Simplify (+ 0 0) into 0 49.146 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ phi1 phi2)))) into 0 49.146 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 49.146 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 49.147 * [backup-simplify]: Simplify (- 0) into 0 49.147 * [backup-simplify]: Simplify (+ 0 0) into 0 49.147 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 49.147 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 0) (* 0 lambda2))) into 0 49.148 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (+ (* 0 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into 0 49.148 * [backup-simplify]: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi1))) into 0 49.148 * [backup-simplify]: Simplify (+ 0 0) into 0 49.149 * [backup-simplify]: Simplify (+ 0 0) into 0 49.149 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 49.149 * [backup-simplify]: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi2))) into 0 49.149 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* phi1 phi2)))) into 0 49.150 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 1) (* 0 0))) into 0 49.150 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 49.151 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 49.151 * [backup-simplify]: Simplify (+ 0 0) into 0 49.152 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ phi1 phi2)))) into 0 49.152 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 49.152 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 49.153 * [backup-simplify]: Simplify (- 0) into 0 49.153 * [backup-simplify]: Simplify (+ 0 0) into 0 49.153 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 49.153 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) (+ (* 0 lambda2) (* 0 0))) into 0 49.154 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 0 0))) into 0 49.154 * [backup-simplify]: Simplify (+ 0 0) into 0 49.154 * [backup-simplify]: Simplify (- 0) into 0 49.155 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 49.156 * [backup-simplify]: Simplify (/ (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) 2) (+)) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (* 1/2 (* (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) 49.156 * [taylor]: Taking taylor expansion of (* 1/2 (* (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) in lambda2 49.156 * [taylor]: Taking taylor expansion of 1/2 in lambda2 49.156 * [backup-simplify]: Simplify 1/2 into 1/2 49.156 * [taylor]: Taking taylor expansion of (* (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) in lambda2 49.156 * [taylor]: Taking taylor expansion of (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2 49.156 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 49.156 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 49.156 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 49.156 * [taylor]: Taking taylor expansion of 1/2 in lambda2 49.156 * [backup-simplify]: Simplify 1/2 into 1/2 49.156 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 49.156 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.156 * [backup-simplify]: Simplify phi1 into phi1 49.156 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.156 * [backup-simplify]: Simplify phi2 into phi2 49.156 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 49.156 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 49.156 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 49.156 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 49.157 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 49.157 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 49.157 * [backup-simplify]: Simplify (- 0) into 0 49.157 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 49.157 * [taylor]: Taking taylor expansion of (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 49.157 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) in lambda2 49.157 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 49.157 * [taylor]: Taking taylor expansion of lambda2 in lambda2 49.157 * [backup-simplify]: Simplify 0 into 0 49.157 * [backup-simplify]: Simplify 1 into 1 49.157 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 4) in lambda2 49.157 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 49.157 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 49.157 * [taylor]: Taking taylor expansion of 1/2 in lambda2 49.157 * [backup-simplify]: Simplify 1/2 into 1/2 49.157 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 49.157 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.157 * [backup-simplify]: Simplify phi1 into phi1 49.157 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.157 * [backup-simplify]: Simplify phi2 into phi2 49.157 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 49.157 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 49.157 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 49.157 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 49.158 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 49.158 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 49.158 * [backup-simplify]: Simplify (- 0) into 0 49.158 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 49.158 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 49.158 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 49.158 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 49.158 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.158 * [backup-simplify]: Simplify phi2 into phi2 49.158 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 49.158 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 49.158 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 49.158 * [taylor]: Taking taylor expansion of lambda2 in lambda2 49.158 * [backup-simplify]: Simplify 0 into 0 49.158 * [backup-simplify]: Simplify 1 into 1 49.158 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 49.158 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 49.158 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 49.158 * [taylor]: Taking taylor expansion of 1/2 in lambda2 49.158 * [backup-simplify]: Simplify 1/2 into 1/2 49.158 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 49.158 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.158 * [backup-simplify]: Simplify phi1 into phi1 49.158 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.158 * [backup-simplify]: Simplify phi2 into phi2 49.158 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 49.158 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 49.158 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 49.158 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 49.158 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 49.159 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 49.159 * [backup-simplify]: Simplify (- 0) into 0 49.159 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 49.159 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 49.159 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.159 * [backup-simplify]: Simplify phi1 into phi1 49.159 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 49.159 * [taylor]: Taking taylor expansion of 2 in lambda2 49.159 * [backup-simplify]: Simplify 2 into 2 49.159 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 49.159 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.159 * [backup-simplify]: Simplify phi1 into phi1 49.159 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.159 * [backup-simplify]: Simplify phi2 into phi2 49.159 * [backup-simplify]: Simplify (* 1 1) into 1 49.160 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 49.160 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 4) 49.160 * [backup-simplify]: Simplify (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 4)) into (pow (cos (* 1/2 (+ phi1 phi2))) 4) 49.160 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 49.160 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 49.160 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 49.160 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 49.160 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 49.160 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 49.160 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 49.160 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 49.161 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 4) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (/ (pow (cos (* 1/2 (+ phi1 phi2))) 4) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 49.161 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2 49.161 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 49.161 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 49.161 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 49.161 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 49.161 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.161 * [backup-simplify]: Simplify phi2 into phi2 49.161 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 49.161 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 49.161 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 49.161 * [taylor]: Taking taylor expansion of lambda2 in lambda2 49.161 * [backup-simplify]: Simplify 0 into 0 49.161 * [backup-simplify]: Simplify 1 into 1 49.161 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 49.161 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 49.161 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 49.161 * [taylor]: Taking taylor expansion of 1/2 in lambda2 49.161 * [backup-simplify]: Simplify 1/2 into 1/2 49.161 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 49.161 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.161 * [backup-simplify]: Simplify phi1 into phi1 49.161 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.161 * [backup-simplify]: Simplify phi2 into phi2 49.162 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 49.162 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 49.162 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 49.162 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 49.162 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 49.162 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 49.163 * [backup-simplify]: Simplify (- 0) into 0 49.163 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 49.163 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 49.163 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.163 * [backup-simplify]: Simplify phi1 into phi1 49.163 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 49.163 * [taylor]: Taking taylor expansion of 2 in lambda2 49.163 * [backup-simplify]: Simplify 2 into 2 49.163 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 49.163 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.163 * [backup-simplify]: Simplify phi1 into phi1 49.163 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.163 * [backup-simplify]: Simplify phi2 into phi2 49.163 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 49.163 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 49.163 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 49.164 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 49.164 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 49.164 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 49.164 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 49.164 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 49.164 * [backup-simplify]: Simplify (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 49.165 * [backup-simplify]: Simplify (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) into (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) 49.165 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 49.165 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 49.166 * [backup-simplify]: Simplify (+ 0 0) into 0 49.166 * [backup-simplify]: Simplify (+ 0 0) into 0 49.166 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 49.166 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 49.167 * [backup-simplify]: Simplify (- 0) into 0 49.167 * [backup-simplify]: Simplify (+ 0 0) into 0 49.168 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) (/ 0 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into 0 49.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into 0 49.168 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 49.169 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 49.169 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) 49.169 * [backup-simplify]: Simplify (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) 49.170 * [taylor]: Taking taylor expansion of (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) in phi1 49.170 * [taylor]: Taking taylor expansion of 1/2 in phi1 49.170 * [backup-simplify]: Simplify 1/2 into 1/2 49.170 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) in phi1 49.170 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 49.170 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 49.170 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 49.170 * [taylor]: Taking taylor expansion of 1/2 in phi1 49.170 * [backup-simplify]: Simplify 1/2 into 1/2 49.170 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 49.170 * [taylor]: Taking taylor expansion of phi1 in phi1 49.170 * [backup-simplify]: Simplify 0 into 0 49.170 * [backup-simplify]: Simplify 1 into 1 49.170 * [taylor]: Taking taylor expansion of phi2 in phi1 49.170 * [backup-simplify]: Simplify phi2 into phi2 49.170 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 49.170 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 49.170 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 49.170 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 49.170 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 49.170 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 49.171 * [backup-simplify]: Simplify (- 0) into 0 49.171 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 49.171 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) in phi1 49.171 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1 49.171 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1 49.171 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1 49.171 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 49.171 * [taylor]: Taking taylor expansion of phi2 in phi1 49.171 * [backup-simplify]: Simplify phi2 into phi2 49.171 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 49.171 * [taylor]: Taking taylor expansion of phi1 in phi1 49.171 * [backup-simplify]: Simplify 0 into 0 49.171 * [backup-simplify]: Simplify 1 into 1 49.171 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 49.171 * [taylor]: Taking taylor expansion of 2 in phi1 49.171 * [backup-simplify]: Simplify 2 into 2 49.171 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 49.171 * [taylor]: Taking taylor expansion of phi1 in phi1 49.171 * [backup-simplify]: Simplify 0 into 0 49.171 * [backup-simplify]: Simplify 1 into 1 49.171 * [taylor]: Taking taylor expansion of phi2 in phi1 49.171 * [backup-simplify]: Simplify phi2 into phi2 49.172 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 49.172 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 49.172 * [backup-simplify]: Simplify (* 0 phi2) into 0 49.172 * [backup-simplify]: Simplify (* 2 0) into 0 49.173 * [backup-simplify]: Simplify (- 0) into 0 49.173 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 49.173 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 49.173 * [backup-simplify]: Simplify (sqrt (/ 1 (pow phi2 2))) into (/ 1 phi2) 49.173 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 49.173 * [backup-simplify]: Simplify (+ 0 0) into 0 49.174 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 49.174 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 49.174 * [backup-simplify]: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) 49.174 * [backup-simplify]: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) 49.175 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ (- (* 2 phi2)) (pow phi2 2))))) into (* 2 (/ 1 (pow phi2 3))) 49.175 * [backup-simplify]: Simplify (/ (* 2 (/ 1 (pow phi2 3))) (* 2 (sqrt (/ 1 (pow phi2 2))))) into (/ 1 (pow phi2 2)) 49.175 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 49.175 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (/ 1 phi2)) into (/ (pow (cos (* 1/2 phi2)) 2) phi2) 49.175 * [backup-simplify]: Simplify (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) into (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) 49.175 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) in phi2 49.175 * [taylor]: Taking taylor expansion of 1/2 in phi2 49.175 * [backup-simplify]: Simplify 1/2 into 1/2 49.175 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 phi2)) 2) phi2) in phi2 49.175 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 49.175 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 49.175 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 49.175 * [taylor]: Taking taylor expansion of 1/2 in phi2 49.175 * [backup-simplify]: Simplify 1/2 into 1/2 49.175 * [taylor]: Taking taylor expansion of phi2 in phi2 49.175 * [backup-simplify]: Simplify 0 into 0 49.175 * [backup-simplify]: Simplify 1 into 1 49.176 * [backup-simplify]: Simplify (* 1/2 0) into 0 49.177 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 49.177 * [taylor]: Taking taylor expansion of phi2 in phi2 49.177 * [backup-simplify]: Simplify 0 into 0 49.177 * [backup-simplify]: Simplify 1 into 1 49.177 * [backup-simplify]: Simplify (* 1 1) into 1 49.177 * [backup-simplify]: Simplify (/ 1 1) into 1 49.178 * [backup-simplify]: Simplify (+ 0) into 0 49.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 49.180 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 49.180 * [backup-simplify]: Simplify 0 into 0 49.180 * [backup-simplify]: Simplify (+ 0) into 0 49.181 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 49.181 * [backup-simplify]: Simplify (+ 0 0) into 0 49.182 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 49.183 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.183 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 49.183 * [backup-simplify]: Simplify (- 0) into 0 49.184 * [backup-simplify]: Simplify (+ 0 0) into 0 49.184 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 49.185 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 49.185 * [backup-simplify]: Simplify (+ (* 0 0) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) 49.187 * [backup-simplify]: Simplify (+ (* -1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) (* 0 0)) into (- (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) 49.187 * [taylor]: Taking taylor expansion of (- (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) in phi1 49.187 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) in phi1 49.187 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 49.187 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 49.187 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 49.187 * [taylor]: Taking taylor expansion of 1/2 in phi1 49.187 * [backup-simplify]: Simplify 1/2 into 1/2 49.187 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 49.187 * [taylor]: Taking taylor expansion of phi1 in phi1 49.187 * [backup-simplify]: Simplify 0 into 0 49.187 * [backup-simplify]: Simplify 1 into 1 49.187 * [taylor]: Taking taylor expansion of phi2 in phi1 49.187 * [backup-simplify]: Simplify phi2 into phi2 49.187 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 49.187 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 49.187 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 49.187 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 49.187 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 49.187 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 49.188 * [backup-simplify]: Simplify (- 0) into 0 49.188 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 49.188 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) in phi1 49.188 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1 49.188 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1 49.188 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1 49.188 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 49.188 * [taylor]: Taking taylor expansion of phi2 in phi1 49.188 * [backup-simplify]: Simplify phi2 into phi2 49.188 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 49.188 * [taylor]: Taking taylor expansion of phi1 in phi1 49.188 * [backup-simplify]: Simplify 0 into 0 49.188 * [backup-simplify]: Simplify 1 into 1 49.188 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 49.188 * [taylor]: Taking taylor expansion of 2 in phi1 49.188 * [backup-simplify]: Simplify 2 into 2 49.188 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 49.188 * [taylor]: Taking taylor expansion of phi1 in phi1 49.188 * [backup-simplify]: Simplify 0 into 0 49.188 * [backup-simplify]: Simplify 1 into 1 49.188 * [taylor]: Taking taylor expansion of phi2 in phi1 49.189 * [backup-simplify]: Simplify phi2 into phi2 49.189 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 49.189 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 49.189 * [backup-simplify]: Simplify (* 0 phi2) into 0 49.189 * [backup-simplify]: Simplify (* 2 0) into 0 49.189 * [backup-simplify]: Simplify (- 0) into 0 49.190 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 49.190 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 49.190 * [backup-simplify]: Simplify (sqrt (/ 1 (pow phi2 2))) into (/ 1 phi2) 49.190 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 49.190 * [backup-simplify]: Simplify (+ 0 0) into 0 49.191 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 49.191 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 49.191 * [backup-simplify]: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) 49.191 * [backup-simplify]: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) 49.192 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ (- (* 2 phi2)) (pow phi2 2))))) into (* 2 (/ 1 (pow phi2 3))) 49.192 * [backup-simplify]: Simplify (/ (* 2 (/ 1 (pow phi2 3))) (* 2 (sqrt (/ 1 (pow phi2 2))))) into (/ 1 (pow phi2 2)) 49.192 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 49.192 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (/ 1 phi2)) into (/ (pow (cos (* 1/2 phi2)) 2) phi2) 49.192 * [backup-simplify]: Simplify (- (/ (pow (cos (* 1/2 phi2)) 2) phi2)) into (- (/ (pow (cos (* 1/2 phi2)) 2) phi2)) 49.192 * [taylor]: Taking taylor expansion of (- (/ (pow (cos (* 1/2 phi2)) 2) phi2)) in phi2 49.192 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 phi2)) 2) phi2) in phi2 49.192 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 49.192 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 49.193 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 49.193 * [taylor]: Taking taylor expansion of 1/2 in phi2 49.193 * [backup-simplify]: Simplify 1/2 into 1/2 49.193 * [taylor]: Taking taylor expansion of phi2 in phi2 49.193 * [backup-simplify]: Simplify 0 into 0 49.193 * [backup-simplify]: Simplify 1 into 1 49.193 * [backup-simplify]: Simplify (* 1/2 0) into 0 49.194 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 49.194 * [taylor]: Taking taylor expansion of phi2 in phi2 49.194 * [backup-simplify]: Simplify 0 into 0 49.194 * [backup-simplify]: Simplify 1 into 1 49.194 * [backup-simplify]: Simplify (* 1 1) into 1 49.195 * [backup-simplify]: Simplify (/ 1 1) into 1 49.195 * [backup-simplify]: Simplify (+ 0) into 0 49.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 49.197 * [backup-simplify]: Simplify (- 0) into 0 49.197 * [backup-simplify]: Simplify 0 into 0 49.197 * [backup-simplify]: Simplify (+ (* phi2 0) (+ (* 0 0) (* 0 phi2))) into 0 49.197 * [backup-simplify]: Simplify (* 1 1) into 1 49.198 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 49.198 * [backup-simplify]: Simplify (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 49.198 * [backup-simplify]: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi1))) into 0 49.198 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 49.198 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 49.198 * [backup-simplify]: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi2))) into 0 49.199 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* phi1 phi2)))) into 0 49.199 * [backup-simplify]: Simplify (- 0) into 0 49.199 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 49.200 * [backup-simplify]: Simplify (/ (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow 0 2) (+)) (* 2 (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) 49.200 * [taylor]: Taking taylor expansion of (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) in phi1 49.200 * [taylor]: Taking taylor expansion of 1/2 in phi1 49.200 * [backup-simplify]: Simplify 1/2 into 1/2 49.200 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) in phi1 49.200 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 49.200 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 49.200 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 49.200 * [taylor]: Taking taylor expansion of 1/2 in phi1 49.200 * [backup-simplify]: Simplify 1/2 into 1/2 49.200 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 49.200 * [taylor]: Taking taylor expansion of phi1 in phi1 49.200 * [backup-simplify]: Simplify 0 into 0 49.200 * [backup-simplify]: Simplify 1 into 1 49.200 * [taylor]: Taking taylor expansion of phi2 in phi1 49.200 * [backup-simplify]: Simplify phi2 into phi2 49.200 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 49.200 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 49.200 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 49.200 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 49.200 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 49.201 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 49.201 * [backup-simplify]: Simplify (- 0) into 0 49.201 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 49.201 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) in phi1 49.201 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1 49.201 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1 49.201 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1 49.201 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 49.201 * [taylor]: Taking taylor expansion of phi2 in phi1 49.201 * [backup-simplify]: Simplify phi2 into phi2 49.201 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 49.201 * [taylor]: Taking taylor expansion of phi1 in phi1 49.201 * [backup-simplify]: Simplify 0 into 0 49.201 * [backup-simplify]: Simplify 1 into 1 49.201 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 49.201 * [taylor]: Taking taylor expansion of 2 in phi1 49.201 * [backup-simplify]: Simplify 2 into 2 49.201 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 49.201 * [taylor]: Taking taylor expansion of phi1 in phi1 49.201 * [backup-simplify]: Simplify 0 into 0 49.201 * [backup-simplify]: Simplify 1 into 1 49.201 * [taylor]: Taking taylor expansion of phi2 in phi1 49.201 * [backup-simplify]: Simplify phi2 into phi2 49.201 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 49.201 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 49.201 * [backup-simplify]: Simplify (* 0 phi2) into 0 49.202 * [backup-simplify]: Simplify (* 2 0) into 0 49.202 * [backup-simplify]: Simplify (- 0) into 0 49.202 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 49.202 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 49.202 * [backup-simplify]: Simplify (sqrt (/ 1 (pow phi2 2))) into (/ 1 phi2) 49.202 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 49.202 * [backup-simplify]: Simplify (+ 0 0) into 0 49.203 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 49.203 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 49.203 * [backup-simplify]: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) 49.203 * [backup-simplify]: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) 49.203 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ (- (* 2 phi2)) (pow phi2 2))))) into (* 2 (/ 1 (pow phi2 3))) 49.203 * [backup-simplify]: Simplify (/ (* 2 (/ 1 (pow phi2 3))) (* 2 (sqrt (/ 1 (pow phi2 2))))) into (/ 1 (pow phi2 2)) 49.203 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 49.203 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (/ 1 phi2)) into (/ (pow (cos (* 1/2 phi2)) 2) phi2) 49.203 * [backup-simplify]: Simplify (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) into (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) 49.203 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) in phi2 49.203 * [taylor]: Taking taylor expansion of 1/2 in phi2 49.203 * [backup-simplify]: Simplify 1/2 into 1/2 49.203 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 phi2)) 2) phi2) in phi2 49.204 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 49.204 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 49.204 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 49.204 * [taylor]: Taking taylor expansion of 1/2 in phi2 49.204 * [backup-simplify]: Simplify 1/2 into 1/2 49.204 * [taylor]: Taking taylor expansion of phi2 in phi2 49.204 * [backup-simplify]: Simplify 0 into 0 49.204 * [backup-simplify]: Simplify 1 into 1 49.204 * [backup-simplify]: Simplify (* 1/2 0) into 0 49.204 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 49.204 * [taylor]: Taking taylor expansion of phi2 in phi2 49.204 * [backup-simplify]: Simplify 0 into 0 49.204 * [backup-simplify]: Simplify 1 into 1 49.205 * [backup-simplify]: Simplify (* 1 1) into 1 49.205 * [backup-simplify]: Simplify (/ 1 1) into 1 49.205 * [backup-simplify]: Simplify (+ 0) into 0 49.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 49.206 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 49.206 * [backup-simplify]: Simplify 0 into 0 49.206 * [taylor]: Taking taylor expansion of 0 in phi2 49.206 * [backup-simplify]: Simplify 0 into 0 49.206 * [backup-simplify]: Simplify 0 into 0 49.206 * [taylor]: Taking taylor expansion of 0 in phi2 49.206 * [backup-simplify]: Simplify 0 into 0 49.206 * [backup-simplify]: Simplify 0 into 0 49.207 * [backup-simplify]: Simplify (+ (* phi2 0) (+ (* 0 0) (* 0 phi2))) into 0 49.207 * [backup-simplify]: Simplify (* 1 1) into 1 49.208 * [backup-simplify]: Simplify (+ 0 1) into 1 49.208 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 phi2))) into 0 49.209 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 phi2) (* 0 0))) into 0 49.209 * [backup-simplify]: Simplify (- 0) into 0 49.209 * [backup-simplify]: Simplify (+ 1 0) into 1 49.210 * [backup-simplify]: Simplify (/ (- 1 (pow -1 2) (+)) (* 2 phi2)) into 0 49.210 * [taylor]: Taking taylor expansion of 0 in phi2 49.210 * [backup-simplify]: Simplify 0 into 0 49.210 * [backup-simplify]: Simplify 0 into 0 49.210 * [backup-simplify]: Simplify (+ (* 1 (* phi2 (* 1 (* 1 1)))) (* -1 (* 1 (* phi1 (* 1 1))))) into (- phi2 phi1) 49.211 * [backup-simplify]: Simplify (sqrt (+ (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (* (* (cbrt (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (cbrt (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) (cbrt (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))))) (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))))) into (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) 49.211 * [approximate]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in (lambda1 lambda2 phi1 phi2) around 0 49.211 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in phi2 49.211 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in phi2 49.211 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in phi2 49.211 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi2 49.211 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 49.211 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 49.211 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 49.211 * [taylor]: Taking taylor expansion of 1/2 in phi2 49.211 * [backup-simplify]: Simplify 1/2 into 1/2 49.211 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 49.211 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 49.211 * [taylor]: Taking taylor expansion of phi1 in phi2 49.211 * [backup-simplify]: Simplify phi1 into phi1 49.211 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.211 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 49.211 * [taylor]: Taking taylor expansion of phi2 in phi2 49.211 * [backup-simplify]: Simplify 0 into 0 49.211 * [backup-simplify]: Simplify 1 into 1 49.212 * [backup-simplify]: Simplify (/ 1 1) into 1 49.212 * [backup-simplify]: Simplify (+ 0 1) into 1 49.212 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 49.212 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.212 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi2 49.212 * [taylor]: Taking taylor expansion of lambda2 in phi2 49.212 * [backup-simplify]: Simplify lambda2 into lambda2 49.213 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.213 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 49.213 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 49.213 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in phi2 49.213 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi2 49.213 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi2 49.213 * [taylor]: Taking taylor expansion of phi1 in phi2 49.213 * [backup-simplify]: Simplify phi1 into phi1 49.213 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 49.213 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 49.213 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in phi2 49.213 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi2 49.213 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 49.213 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 49.213 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 49.213 * [taylor]: Taking taylor expansion of 1/2 in phi2 49.213 * [backup-simplify]: Simplify 1/2 into 1/2 49.213 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 49.213 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 49.213 * [taylor]: Taking taylor expansion of phi1 in phi2 49.213 * [backup-simplify]: Simplify phi1 into phi1 49.213 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.213 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 49.213 * [taylor]: Taking taylor expansion of phi2 in phi2 49.213 * [backup-simplify]: Simplify 0 into 0 49.213 * [backup-simplify]: Simplify 1 into 1 49.215 * [backup-simplify]: Simplify (/ 1 1) into 1 49.215 * [backup-simplify]: Simplify (+ 0 1) into 1 49.216 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 49.216 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.216 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi2 49.216 * [taylor]: Taking taylor expansion of lambda1 in phi2 49.216 * [backup-simplify]: Simplify lambda1 into lambda1 49.216 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.216 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 49.216 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 49.216 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi2 49.216 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2 49.216 * [taylor]: Taking taylor expansion of phi2 in phi2 49.216 * [backup-simplify]: Simplify 0 into 0 49.216 * [backup-simplify]: Simplify 1 into 1 49.217 * [backup-simplify]: Simplify (* 1 1) into 1 49.217 * [backup-simplify]: Simplify (/ 1 1) into 1 49.217 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in phi2 49.217 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi2 49.217 * [taylor]: Taking taylor expansion of 2 in phi2 49.217 * [backup-simplify]: Simplify 2 into 2 49.217 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi2 49.217 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi2 49.217 * [taylor]: Taking taylor expansion of phi1 in phi2 49.217 * [backup-simplify]: Simplify phi1 into phi1 49.217 * [taylor]: Taking taylor expansion of phi2 in phi2 49.217 * [backup-simplify]: Simplify 0 into 0 49.217 * [backup-simplify]: Simplify 1 into 1 49.217 * [backup-simplify]: Simplify (* phi1 0) into 0 49.217 * [backup-simplify]: Simplify (+ (* phi1 1) (* 0 0)) into phi1 49.217 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.217 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in phi2 49.217 * [taylor]: Taking taylor expansion of 2 in phi2 49.217 * [backup-simplify]: Simplify 2 into 2 49.217 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in phi2 49.217 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 49.218 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 49.218 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 49.218 * [taylor]: Taking taylor expansion of 1/2 in phi2 49.218 * [backup-simplify]: Simplify 1/2 into 1/2 49.218 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 49.218 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 49.218 * [taylor]: Taking taylor expansion of phi1 in phi2 49.218 * [backup-simplify]: Simplify phi1 into phi1 49.218 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.218 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 49.218 * [taylor]: Taking taylor expansion of phi2 in phi2 49.218 * [backup-simplify]: Simplify 0 into 0 49.218 * [backup-simplify]: Simplify 1 into 1 49.218 * [backup-simplify]: Simplify (/ 1 1) into 1 49.218 * [backup-simplify]: Simplify (+ 0 1) into 1 49.218 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 49.219 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.219 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi2 49.219 * [taylor]: Taking taylor expansion of lambda2 in phi2 49.219 * [backup-simplify]: Simplify lambda2 into lambda2 49.219 * [taylor]: Taking taylor expansion of lambda1 in phi2 49.219 * [backup-simplify]: Simplify lambda1 into lambda1 49.219 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.219 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 49.219 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) 49.219 * [backup-simplify]: Simplify (+ 0 1) into 1 49.220 * [backup-simplify]: Simplify (+ 0 1) into 1 49.220 * [backup-simplify]: Simplify (+ 0 1) into 1 49.220 * [backup-simplify]: Simplify (+ 1 0) into 1 49.220 * [backup-simplify]: Simplify (sqrt 1) into 1 49.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 49.221 * [backup-simplify]: Simplify (+ 0 0) into 0 49.222 * [backup-simplify]: Simplify (+ 0 0) into 0 49.222 * [backup-simplify]: Simplify (+ 0 0) into 0 49.222 * [backup-simplify]: Simplify (* 2 (/ 1 phi1)) into (/ 2 phi1) 49.222 * [backup-simplify]: Simplify (+ (/ 2 phi1) 0) into (* 2 (/ 1 phi1)) 49.222 * [backup-simplify]: Simplify (- (* 2 (/ 1 phi1))) into (- (* 2 (/ 1 phi1))) 49.222 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi1)))) into (- (* 2 (/ 1 phi1))) 49.222 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 phi1))) (* 2 (sqrt 1))) into (/ -1 phi1) 49.222 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in phi1 49.222 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in phi1 49.222 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in phi1 49.222 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi1 49.222 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 49.222 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 49.223 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 49.223 * [taylor]: Taking taylor expansion of 1/2 in phi1 49.223 * [backup-simplify]: Simplify 1/2 into 1/2 49.223 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 49.223 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 49.223 * [taylor]: Taking taylor expansion of phi1 in phi1 49.223 * [backup-simplify]: Simplify 0 into 0 49.223 * [backup-simplify]: Simplify 1 into 1 49.223 * [backup-simplify]: Simplify (/ 1 1) into 1 49.223 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 49.223 * [taylor]: Taking taylor expansion of phi2 in phi1 49.223 * [backup-simplify]: Simplify phi2 into phi2 49.223 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.223 * [backup-simplify]: Simplify (+ 1 0) into 1 49.223 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 49.224 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.224 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi1 49.224 * [taylor]: Taking taylor expansion of lambda2 in phi1 49.224 * [backup-simplify]: Simplify lambda2 into lambda2 49.224 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.224 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 49.224 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 49.224 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in phi1 49.224 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 49.224 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 49.224 * [taylor]: Taking taylor expansion of phi1 in phi1 49.224 * [backup-simplify]: Simplify 0 into 0 49.224 * [backup-simplify]: Simplify 1 into 1 49.224 * [backup-simplify]: Simplify (* 1 1) into 1 49.225 * [backup-simplify]: Simplify (/ 1 1) into 1 49.225 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in phi1 49.225 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi1 49.225 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 49.225 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 49.225 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 49.225 * [taylor]: Taking taylor expansion of 1/2 in phi1 49.225 * [backup-simplify]: Simplify 1/2 into 1/2 49.225 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 49.225 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 49.225 * [taylor]: Taking taylor expansion of phi1 in phi1 49.225 * [backup-simplify]: Simplify 0 into 0 49.225 * [backup-simplify]: Simplify 1 into 1 49.225 * [backup-simplify]: Simplify (/ 1 1) into 1 49.225 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 49.225 * [taylor]: Taking taylor expansion of phi2 in phi1 49.225 * [backup-simplify]: Simplify phi2 into phi2 49.225 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.225 * [backup-simplify]: Simplify (+ 1 0) into 1 49.226 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 49.226 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.226 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi1 49.226 * [taylor]: Taking taylor expansion of lambda1 in phi1 49.226 * [backup-simplify]: Simplify lambda1 into lambda1 49.226 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.226 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 49.226 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 49.226 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 49.226 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 49.226 * [taylor]: Taking taylor expansion of phi2 in phi1 49.226 * [backup-simplify]: Simplify phi2 into phi2 49.226 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 49.226 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 49.226 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in phi1 49.226 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 49.226 * [taylor]: Taking taylor expansion of 2 in phi1 49.226 * [backup-simplify]: Simplify 2 into 2 49.226 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 49.226 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 49.226 * [taylor]: Taking taylor expansion of phi1 in phi1 49.226 * [backup-simplify]: Simplify 0 into 0 49.226 * [backup-simplify]: Simplify 1 into 1 49.226 * [taylor]: Taking taylor expansion of phi2 in phi1 49.226 * [backup-simplify]: Simplify phi2 into phi2 49.227 * [backup-simplify]: Simplify (* 0 phi2) into 0 49.227 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 49.227 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.227 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in phi1 49.227 * [taylor]: Taking taylor expansion of 2 in phi1 49.227 * [backup-simplify]: Simplify 2 into 2 49.227 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in phi1 49.227 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 49.227 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 49.227 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 49.227 * [taylor]: Taking taylor expansion of 1/2 in phi1 49.227 * [backup-simplify]: Simplify 1/2 into 1/2 49.227 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 49.227 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 49.227 * [taylor]: Taking taylor expansion of phi1 in phi1 49.227 * [backup-simplify]: Simplify 0 into 0 49.227 * [backup-simplify]: Simplify 1 into 1 49.227 * [backup-simplify]: Simplify (/ 1 1) into 1 49.227 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 49.228 * [taylor]: Taking taylor expansion of phi2 in phi1 49.228 * [backup-simplify]: Simplify phi2 into phi2 49.228 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.228 * [backup-simplify]: Simplify (+ 1 0) into 1 49.228 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 49.228 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.228 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi1 49.228 * [taylor]: Taking taylor expansion of lambda2 in phi1 49.228 * [backup-simplify]: Simplify lambda2 into lambda2 49.228 * [taylor]: Taking taylor expansion of lambda1 in phi1 49.228 * [backup-simplify]: Simplify lambda1 into lambda1 49.228 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.228 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 49.229 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) 49.229 * [backup-simplify]: Simplify (+ 1 0) into 1 49.229 * [backup-simplify]: Simplify (+ 0 1) into 1 49.229 * [backup-simplify]: Simplify (+ 1 0) into 1 49.230 * [backup-simplify]: Simplify (sqrt 1) into 1 49.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 49.231 * [backup-simplify]: Simplify (+ 0 0) into 0 49.231 * [backup-simplify]: Simplify (+ 0 0) into 0 49.231 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 49.231 * [backup-simplify]: Simplify (+ (/ 2 phi2) 0) into (* 2 (/ 1 phi2)) 49.231 * [backup-simplify]: Simplify (- (* 2 (/ 1 phi2))) into (- (* 2 (/ 1 phi2))) 49.231 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 49.231 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 phi2))) (* 2 (sqrt 1))) into (/ -1 phi2) 49.231 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in lambda2 49.232 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in lambda2 49.232 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in lambda2 49.232 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda2 49.232 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 49.232 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 49.232 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 49.232 * [taylor]: Taking taylor expansion of 1/2 in lambda2 49.232 * [backup-simplify]: Simplify 1/2 into 1/2 49.232 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 49.232 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 49.232 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.232 * [backup-simplify]: Simplify phi1 into phi1 49.232 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.232 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 49.232 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.232 * [backup-simplify]: Simplify phi2 into phi2 49.232 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.232 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 49.232 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 49.232 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.232 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.232 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.232 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 49.233 * [backup-simplify]: Simplify (- 0) into 0 49.233 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.233 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 49.233 * [taylor]: Taking taylor expansion of lambda2 in lambda2 49.233 * [backup-simplify]: Simplify 0 into 0 49.233 * [backup-simplify]: Simplify 1 into 1 49.233 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.233 * [backup-simplify]: Simplify (* 1 1) into 1 49.233 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.233 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in lambda2 49.233 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 49.233 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 49.233 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.233 * [backup-simplify]: Simplify phi1 into phi1 49.233 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 49.233 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 49.233 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in lambda2 49.233 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda2 49.234 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 49.234 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 49.234 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 49.234 * [taylor]: Taking taylor expansion of 1/2 in lambda2 49.234 * [backup-simplify]: Simplify 1/2 into 1/2 49.234 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 49.234 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 49.234 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.234 * [backup-simplify]: Simplify phi1 into phi1 49.234 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.234 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 49.234 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.234 * [backup-simplify]: Simplify phi2 into phi2 49.234 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.234 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 49.234 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 49.234 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.234 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.234 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.234 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 49.234 * [backup-simplify]: Simplify (- 0) into 0 49.235 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.235 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda2 49.235 * [taylor]: Taking taylor expansion of lambda1 in lambda2 49.235 * [backup-simplify]: Simplify lambda1 into lambda1 49.235 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.235 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 49.235 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 49.235 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 49.235 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 49.235 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.235 * [backup-simplify]: Simplify phi2 into phi2 49.235 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 49.235 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 49.235 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in lambda2 49.235 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 49.235 * [taylor]: Taking taylor expansion of 2 in lambda2 49.235 * [backup-simplify]: Simplify 2 into 2 49.235 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 49.235 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 49.235 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.235 * [backup-simplify]: Simplify phi1 into phi1 49.235 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.235 * [backup-simplify]: Simplify phi2 into phi2 49.235 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 49.235 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 49.235 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in lambda2 49.235 * [taylor]: Taking taylor expansion of 2 in lambda2 49.235 * [backup-simplify]: Simplify 2 into 2 49.235 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in lambda2 49.235 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 49.235 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 49.236 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 49.236 * [taylor]: Taking taylor expansion of 1/2 in lambda2 49.236 * [backup-simplify]: Simplify 1/2 into 1/2 49.236 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 49.236 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 49.236 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.236 * [backup-simplify]: Simplify phi1 into phi1 49.236 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.236 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 49.236 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.236 * [backup-simplify]: Simplify phi2 into phi2 49.236 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.236 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 49.236 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 49.236 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.236 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.236 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.236 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 49.236 * [backup-simplify]: Simplify (- 0) into 0 49.237 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.237 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda2 49.237 * [taylor]: Taking taylor expansion of lambda2 in lambda2 49.237 * [backup-simplify]: Simplify 0 into 0 49.237 * [backup-simplify]: Simplify 1 into 1 49.237 * [taylor]: Taking taylor expansion of lambda1 in lambda2 49.237 * [backup-simplify]: Simplify lambda1 into lambda1 49.237 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.237 * [backup-simplify]: Simplify (* 0 lambda1) into 0 49.237 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda1)) into lambda1 49.237 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) 49.237 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.237 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.238 * [backup-simplify]: Simplify (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.238 * [backup-simplify]: Simplify (+ 0) into 0 49.238 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 49.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 49.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 49.239 * [backup-simplify]: Simplify (+ 0 0) into 0 49.239 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 49.239 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.240 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 49.240 * [backup-simplify]: Simplify (- 0) into 0 49.240 * [backup-simplify]: Simplify (+ 0 0) into 0 49.240 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 49.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 49.242 * [backup-simplify]: Simplify (+ 0 0) into 0 49.242 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) 49.242 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) 49.242 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) 49.243 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) 49.243 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) (* 2 (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1)) 49.243 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in lambda1 49.243 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in lambda1 49.243 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in lambda1 49.243 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 49.243 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 49.243 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 49.243 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 49.243 * [taylor]: Taking taylor expansion of 1/2 in lambda1 49.243 * [backup-simplify]: Simplify 1/2 into 1/2 49.243 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 49.243 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 49.243 * [taylor]: Taking taylor expansion of phi1 in lambda1 49.243 * [backup-simplify]: Simplify phi1 into phi1 49.243 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.243 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 49.243 * [taylor]: Taking taylor expansion of phi2 in lambda1 49.243 * [backup-simplify]: Simplify phi2 into phi2 49.243 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.243 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 49.243 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 49.243 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.243 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.244 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.244 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 49.244 * [backup-simplify]: Simplify (- 0) into 0 49.244 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.244 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 49.244 * [taylor]: Taking taylor expansion of lambda2 in lambda1 49.244 * [backup-simplify]: Simplify lambda2 into lambda2 49.244 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.244 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 49.244 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 49.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in lambda1 49.244 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 49.244 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 49.245 * [taylor]: Taking taylor expansion of phi1 in lambda1 49.245 * [backup-simplify]: Simplify phi1 into phi1 49.245 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 49.245 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 49.245 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in lambda1 49.245 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 49.245 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 49.245 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 49.245 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 49.245 * [taylor]: Taking taylor expansion of 1/2 in lambda1 49.245 * [backup-simplify]: Simplify 1/2 into 1/2 49.245 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 49.245 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 49.245 * [taylor]: Taking taylor expansion of phi1 in lambda1 49.245 * [backup-simplify]: Simplify phi1 into phi1 49.245 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.245 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 49.245 * [taylor]: Taking taylor expansion of phi2 in lambda1 49.245 * [backup-simplify]: Simplify phi2 into phi2 49.245 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.245 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 49.245 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 49.245 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.245 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.245 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.245 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 49.246 * [backup-simplify]: Simplify (- 0) into 0 49.246 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.246 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 49.246 * [taylor]: Taking taylor expansion of lambda1 in lambda1 49.246 * [backup-simplify]: Simplify 0 into 0 49.246 * [backup-simplify]: Simplify 1 into 1 49.246 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.246 * [backup-simplify]: Simplify (* 1 1) into 1 49.246 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.246 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 49.246 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 49.246 * [taylor]: Taking taylor expansion of phi2 in lambda1 49.246 * [backup-simplify]: Simplify phi2 into phi2 49.246 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 49.246 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 49.247 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in lambda1 49.247 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 49.247 * [taylor]: Taking taylor expansion of 2 in lambda1 49.247 * [backup-simplify]: Simplify 2 into 2 49.247 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 49.247 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 49.247 * [taylor]: Taking taylor expansion of phi1 in lambda1 49.247 * [backup-simplify]: Simplify phi1 into phi1 49.247 * [taylor]: Taking taylor expansion of phi2 in lambda1 49.247 * [backup-simplify]: Simplify phi2 into phi2 49.247 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 49.247 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 49.247 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in lambda1 49.247 * [taylor]: Taking taylor expansion of 2 in lambda1 49.247 * [backup-simplify]: Simplify 2 into 2 49.247 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in lambda1 49.247 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 49.247 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 49.247 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 49.247 * [taylor]: Taking taylor expansion of 1/2 in lambda1 49.247 * [backup-simplify]: Simplify 1/2 into 1/2 49.247 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 49.247 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 49.247 * [taylor]: Taking taylor expansion of phi1 in lambda1 49.247 * [backup-simplify]: Simplify phi1 into phi1 49.247 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.247 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 49.247 * [taylor]: Taking taylor expansion of phi2 in lambda1 49.247 * [backup-simplify]: Simplify phi2 into phi2 49.247 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.247 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 49.247 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 49.247 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.247 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.247 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.248 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 49.248 * [backup-simplify]: Simplify (- 0) into 0 49.248 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.248 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1 49.248 * [taylor]: Taking taylor expansion of lambda2 in lambda1 49.248 * [backup-simplify]: Simplify lambda2 into lambda2 49.248 * [taylor]: Taking taylor expansion of lambda1 in lambda1 49.248 * [backup-simplify]: Simplify 0 into 0 49.248 * [backup-simplify]: Simplify 1 into 1 49.248 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.248 * [backup-simplify]: Simplify (* lambda2 0) into 0 49.248 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 49.249 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 49.249 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.249 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.249 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.249 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.249 * [backup-simplify]: Simplify (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.249 * [backup-simplify]: Simplify (+ 0) into 0 49.250 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 49.250 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 49.250 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 49.250 * [backup-simplify]: Simplify (+ 0 0) into 0 49.251 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 49.251 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.251 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 49.252 * [backup-simplify]: Simplify (- 0) into 0 49.252 * [backup-simplify]: Simplify (+ 0 0) into 0 49.252 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 49.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 49.253 * [backup-simplify]: Simplify (+ 0 0) into 0 49.253 * [backup-simplify]: Simplify (+ 0 0) into 0 49.254 * [backup-simplify]: Simplify (+ 0 0) into 0 49.254 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 49.254 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 49.254 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 49.254 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 49.255 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 49.255 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in lambda1 49.255 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in lambda1 49.255 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in lambda1 49.255 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 49.255 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 49.255 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 49.255 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 49.255 * [taylor]: Taking taylor expansion of 1/2 in lambda1 49.255 * [backup-simplify]: Simplify 1/2 into 1/2 49.255 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 49.255 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 49.255 * [taylor]: Taking taylor expansion of phi1 in lambda1 49.255 * [backup-simplify]: Simplify phi1 into phi1 49.255 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.255 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 49.255 * [taylor]: Taking taylor expansion of phi2 in lambda1 49.255 * [backup-simplify]: Simplify phi2 into phi2 49.255 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.255 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 49.255 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 49.255 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.255 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.256 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.256 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 49.256 * [backup-simplify]: Simplify (- 0) into 0 49.256 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.256 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 49.256 * [taylor]: Taking taylor expansion of lambda2 in lambda1 49.256 * [backup-simplify]: Simplify lambda2 into lambda2 49.256 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.256 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 49.256 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 49.256 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in lambda1 49.257 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 49.257 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 49.257 * [taylor]: Taking taylor expansion of phi1 in lambda1 49.257 * [backup-simplify]: Simplify phi1 into phi1 49.257 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 49.257 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 49.257 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in lambda1 49.257 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 49.257 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 49.257 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 49.257 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 49.257 * [taylor]: Taking taylor expansion of 1/2 in lambda1 49.257 * [backup-simplify]: Simplify 1/2 into 1/2 49.257 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 49.257 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 49.257 * [taylor]: Taking taylor expansion of phi1 in lambda1 49.257 * [backup-simplify]: Simplify phi1 into phi1 49.257 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.257 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 49.257 * [taylor]: Taking taylor expansion of phi2 in lambda1 49.257 * [backup-simplify]: Simplify phi2 into phi2 49.257 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.257 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 49.257 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 49.257 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.257 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.258 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.258 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 49.258 * [backup-simplify]: Simplify (- 0) into 0 49.258 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.258 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 49.258 * [taylor]: Taking taylor expansion of lambda1 in lambda1 49.258 * [backup-simplify]: Simplify 0 into 0 49.258 * [backup-simplify]: Simplify 1 into 1 49.258 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.259 * [backup-simplify]: Simplify (* 1 1) into 1 49.259 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.259 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 49.259 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 49.259 * [taylor]: Taking taylor expansion of phi2 in lambda1 49.259 * [backup-simplify]: Simplify phi2 into phi2 49.259 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 49.259 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 49.259 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in lambda1 49.259 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 49.259 * [taylor]: Taking taylor expansion of 2 in lambda1 49.259 * [backup-simplify]: Simplify 2 into 2 49.259 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 49.259 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 49.259 * [taylor]: Taking taylor expansion of phi1 in lambda1 49.259 * [backup-simplify]: Simplify phi1 into phi1 49.259 * [taylor]: Taking taylor expansion of phi2 in lambda1 49.259 * [backup-simplify]: Simplify phi2 into phi2 49.259 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 49.259 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 49.259 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in lambda1 49.259 * [taylor]: Taking taylor expansion of 2 in lambda1 49.259 * [backup-simplify]: Simplify 2 into 2 49.259 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in lambda1 49.259 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 49.259 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 49.259 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 49.259 * [taylor]: Taking taylor expansion of 1/2 in lambda1 49.259 * [backup-simplify]: Simplify 1/2 into 1/2 49.259 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 49.259 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 49.259 * [taylor]: Taking taylor expansion of phi1 in lambda1 49.259 * [backup-simplify]: Simplify phi1 into phi1 49.259 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.259 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 49.259 * [taylor]: Taking taylor expansion of phi2 in lambda1 49.259 * [backup-simplify]: Simplify phi2 into phi2 49.259 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.260 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 49.260 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 49.260 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.260 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.260 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.260 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 49.260 * [backup-simplify]: Simplify (- 0) into 0 49.260 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.260 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1 49.260 * [taylor]: Taking taylor expansion of lambda2 in lambda1 49.260 * [backup-simplify]: Simplify lambda2 into lambda2 49.260 * [taylor]: Taking taylor expansion of lambda1 in lambda1 49.260 * [backup-simplify]: Simplify 0 into 0 49.260 * [backup-simplify]: Simplify 1 into 1 49.261 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.261 * [backup-simplify]: Simplify (* lambda2 0) into 0 49.261 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 49.261 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 49.261 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.261 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.261 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.261 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.262 * [backup-simplify]: Simplify (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.262 * [backup-simplify]: Simplify (+ 0) into 0 49.262 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 49.262 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 49.262 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 49.263 * [backup-simplify]: Simplify (+ 0 0) into 0 49.263 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 49.263 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.264 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 49.264 * [backup-simplify]: Simplify (- 0) into 0 49.264 * [backup-simplify]: Simplify (+ 0 0) into 0 49.264 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 49.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.265 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 49.266 * [backup-simplify]: Simplify (+ 0 0) into 0 49.266 * [backup-simplify]: Simplify (+ 0 0) into 0 49.266 * [backup-simplify]: Simplify (+ 0 0) into 0 49.266 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 49.266 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 49.267 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 49.267 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 49.267 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 49.267 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 49.267 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 49.267 * [taylor]: Taking taylor expansion of 1/2 in lambda2 49.267 * [backup-simplify]: Simplify 1/2 into 1/2 49.267 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 49.267 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 49.267 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.267 * [backup-simplify]: Simplify phi1 into phi1 49.267 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.267 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 49.267 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.267 * [backup-simplify]: Simplify phi2 into phi2 49.267 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.267 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 49.268 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 49.268 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.268 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.268 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) in lambda2 49.268 * [taylor]: Taking taylor expansion of -1 in lambda2 49.268 * [backup-simplify]: Simplify -1 into -1 49.268 * [taylor]: Taking taylor expansion of (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2) in lambda2 49.268 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 49.268 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 49.268 * [taylor]: Taking taylor expansion of 1/2 in lambda2 49.268 * [backup-simplify]: Simplify 1/2 into 1/2 49.268 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 49.268 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 49.268 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.268 * [backup-simplify]: Simplify phi1 into phi1 49.268 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.268 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 49.268 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.268 * [backup-simplify]: Simplify phi2 into phi2 49.268 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.268 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 49.268 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 49.268 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.268 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.268 * [taylor]: Taking taylor expansion of lambda2 in lambda2 49.268 * [backup-simplify]: Simplify 0 into 0 49.268 * [backup-simplify]: Simplify 1 into 1 49.268 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.269 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 49.269 * [backup-simplify]: Simplify (- 0) into 0 49.269 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.269 * [backup-simplify]: Simplify (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.269 * [backup-simplify]: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 49.269 * [taylor]: Taking taylor expansion of (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 49.269 * [taylor]: Taking taylor expansion of -1 in phi1 49.269 * [backup-simplify]: Simplify -1 into -1 49.269 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 49.269 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 49.269 * [taylor]: Taking taylor expansion of 1/2 in phi1 49.269 * [backup-simplify]: Simplify 1/2 into 1/2 49.269 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 49.269 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 49.269 * [taylor]: Taking taylor expansion of phi1 in phi1 49.269 * [backup-simplify]: Simplify 0 into 0 49.269 * [backup-simplify]: Simplify 1 into 1 49.270 * [backup-simplify]: Simplify (/ 1 1) into 1 49.270 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 49.270 * [taylor]: Taking taylor expansion of phi2 in phi1 49.270 * [backup-simplify]: Simplify phi2 into phi2 49.270 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.270 * [backup-simplify]: Simplify (+ 1 0) into 1 49.270 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 49.270 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.270 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.271 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 49.271 * [backup-simplify]: Simplify (- 0) into 0 49.271 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.271 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 49.271 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 49.271 * [taylor]: Taking taylor expansion of 1/2 in phi1 49.271 * [backup-simplify]: Simplify 1/2 into 1/2 49.271 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 49.271 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 49.271 * [taylor]: Taking taylor expansion of phi1 in phi1 49.271 * [backup-simplify]: Simplify 0 into 0 49.271 * [backup-simplify]: Simplify 1 into 1 49.271 * [backup-simplify]: Simplify (/ 1 1) into 1 49.271 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 49.271 * [taylor]: Taking taylor expansion of phi2 in phi1 49.271 * [backup-simplify]: Simplify phi2 into phi2 49.271 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.272 * [backup-simplify]: Simplify (+ 1 0) into 1 49.272 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 49.272 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.273 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 49.273 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 49.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 49.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 49.273 * [backup-simplify]: Simplify (+ 0 0) into 0 49.274 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 49.274 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 49.275 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 49.275 * [backup-simplify]: Simplify (- 0) into 0 49.275 * [backup-simplify]: Simplify (+ 0 0) into 0 49.276 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 49.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 49.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 49.278 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow phi2 2))) into (/ 1 (pow phi2 2)) 49.278 * [backup-simplify]: Simplify (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 49.278 * [backup-simplify]: Simplify (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) into (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) 49.279 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 49.279 * [backup-simplify]: Simplify (+ 0) into 0 49.280 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 49.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 49.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 49.281 * [backup-simplify]: Simplify (+ 0 0) into 0 49.281 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 49.282 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.283 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 49.283 * [backup-simplify]: Simplify (- 0) into 0 49.284 * [backup-simplify]: Simplify (+ 0 0) into 0 49.284 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 49.285 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 1) (* 0 0))) into 0 49.285 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)))) into 0 49.286 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into 0 49.286 * [backup-simplify]: Simplify (+ (/ 2 (* phi1 phi2)) 0) into (* 2 (/ 1 (* phi1 phi2))) 49.286 * [backup-simplify]: Simplify (- (* 2 (/ 1 (* phi1 phi2)))) into (- (* 2 (/ 1 (* phi1 phi2)))) 49.287 * [backup-simplify]: Simplify (+ (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (* 2 (/ 1 (* phi1 phi2)))) 49.288 * [backup-simplify]: Simplify (/ (- (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (* 2 (/ 1 (* phi1 phi2)))) (pow (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 2) (+)) (* 2 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 49.288 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in lambda2 49.288 * [taylor]: Taking taylor expansion of 1/2 in lambda2 49.288 * [backup-simplify]: Simplify 1/2 into 1/2 49.288 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in lambda2 49.288 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in lambda2 49.288 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in lambda2 49.288 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 49.288 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 49.288 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.288 * [backup-simplify]: Simplify phi2 into phi2 49.288 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 49.288 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 49.289 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 49.289 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 49.289 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.289 * [backup-simplify]: Simplify phi1 into phi1 49.289 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 49.289 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 49.289 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 49.289 * [taylor]: Taking taylor expansion of 2 in lambda2 49.289 * [backup-simplify]: Simplify 2 into 2 49.289 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 49.289 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 49.289 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.289 * [backup-simplify]: Simplify phi1 into phi1 49.289 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.289 * [backup-simplify]: Simplify phi2 into phi2 49.289 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 49.289 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 49.289 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 49.289 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 49.289 * [taylor]: Taking taylor expansion of 1/2 in lambda2 49.289 * [backup-simplify]: Simplify 1/2 into 1/2 49.289 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 49.289 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 49.289 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.289 * [backup-simplify]: Simplify phi1 into phi1 49.289 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.289 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 49.289 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.289 * [backup-simplify]: Simplify phi2 into phi2 49.289 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.290 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 49.290 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 49.290 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.290 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.290 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 49.290 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 49.290 * [backup-simplify]: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) 49.291 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) 49.291 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.291 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 49.292 * [backup-simplify]: Simplify (- 0) into 0 49.292 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.292 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 49.293 * [backup-simplify]: Simplify (+ 0) into 0 49.293 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 49.293 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 49.293 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 49.294 * [backup-simplify]: Simplify (+ 0 0) into 0 49.294 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 49.295 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.296 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 49.296 * [backup-simplify]: Simplify (- 0) into 0 49.296 * [backup-simplify]: Simplify (+ 0 0) into 0 49.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (/ 0 1)))) into 0 49.298 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 49.298 * [taylor]: Taking taylor expansion of 0 in phi1 49.298 * [backup-simplify]: Simplify 0 into 0 49.298 * [backup-simplify]: Simplify (+ 0) into 0 49.299 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 49.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 49.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 49.300 * [backup-simplify]: Simplify (+ 0 0) into 0 49.300 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 49.301 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.301 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 49.302 * [backup-simplify]: Simplify (- 0) into 0 49.302 * [backup-simplify]: Simplify (+ 0 0) into 0 49.302 * [taylor]: Taking taylor expansion of 0 in phi1 49.302 * [backup-simplify]: Simplify 0 into 0 49.302 * [backup-simplify]: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 49.303 * [taylor]: Taking taylor expansion of (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi2 49.303 * [taylor]: Taking taylor expansion of -1 in phi2 49.303 * [backup-simplify]: Simplify -1 into -1 49.303 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 49.303 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 49.303 * [taylor]: Taking taylor expansion of 1/2 in phi2 49.303 * [backup-simplify]: Simplify 1/2 into 1/2 49.303 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 49.303 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 49.303 * [taylor]: Taking taylor expansion of phi1 in phi2 49.303 * [backup-simplify]: Simplify phi1 into phi1 49.303 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.303 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 49.303 * [taylor]: Taking taylor expansion of phi2 in phi2 49.303 * [backup-simplify]: Simplify 0 into 0 49.303 * [backup-simplify]: Simplify 1 into 1 49.303 * [backup-simplify]: Simplify (/ 1 1) into 1 49.304 * [backup-simplify]: Simplify (+ 0 1) into 1 49.304 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 49.304 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.304 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 49.304 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 49.305 * [taylor]: Taking taylor expansion of 1/2 in phi2 49.305 * [backup-simplify]: Simplify 1/2 into 1/2 49.305 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 49.305 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 49.305 * [taylor]: Taking taylor expansion of phi1 in phi2 49.305 * [backup-simplify]: Simplify phi1 into phi1 49.305 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.305 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 49.305 * [taylor]: Taking taylor expansion of phi2 in phi2 49.305 * [backup-simplify]: Simplify 0 into 0 49.305 * [backup-simplify]: Simplify 1 into 1 49.305 * [backup-simplify]: Simplify (/ 1 1) into 1 49.306 * [backup-simplify]: Simplify (+ 0 1) into 1 49.306 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 49.306 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.307 * [backup-simplify]: Simplify (+ 0) into 0 49.307 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 49.308 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 49.308 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 49.308 * [backup-simplify]: Simplify (+ 0 0) into 0 49.309 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 49.310 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.310 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 49.310 * [backup-simplify]: Simplify (- 0) into 0 49.311 * [backup-simplify]: Simplify (+ 0 0) into 0 49.311 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 49.311 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 49.312 * [backup-simplify]: Simplify (- (/ 0 (pow lambda2 2)) (+ (* (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (/ 0 (pow lambda2 2))))) into 0 49.312 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 49.312 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))))) into 0 49.313 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 49.314 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 49.314 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 49.314 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 49.315 * [backup-simplify]: Simplify (+ 0 0) into 0 49.316 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 49.318 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 49.319 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 49.319 * [backup-simplify]: Simplify (- 0) into 0 49.320 * [backup-simplify]: Simplify (+ 0 0) into 0 49.321 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into 0 49.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 49.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 49.324 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 49.324 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))))) into 0 49.327 * [backup-simplify]: Simplify (+ 0 0) into 0 49.327 * [backup-simplify]: Simplify (+ 0 0) into 0 49.328 * [backup-simplify]: Simplify (+ 0 0) into 0 49.328 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 49.328 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))))) into 0 49.329 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (* phi1 phi2)))) into 0 49.329 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 49.330 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 49.330 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 49.331 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 49.331 * [backup-simplify]: Simplify (+ 0 0) into 0 49.332 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 49.333 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 49.333 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 49.334 * [backup-simplify]: Simplify (- 0) into 0 49.334 * [backup-simplify]: Simplify (+ 0 0) into 0 49.335 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 49.335 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 49.336 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 49.337 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into 0 49.337 * [backup-simplify]: Simplify (+ 0 0) into 0 49.337 * [backup-simplify]: Simplify (- 0) into 0 49.338 * [backup-simplify]: Simplify (+ 0 0) into 0 49.339 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))))) (* 2 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 49.339 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in lambda2 49.339 * [taylor]: Taking taylor expansion of 1/2 in lambda2 49.339 * [backup-simplify]: Simplify 1/2 into 1/2 49.339 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in lambda2 49.339 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) in lambda2 49.339 * [taylor]: Taking taylor expansion of (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) in lambda2 49.339 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (pow phi2 2))) in lambda2 49.339 * [taylor]: Taking taylor expansion of (* lambda2 (pow phi2 2)) in lambda2 49.339 * [taylor]: Taking taylor expansion of lambda2 in lambda2 49.339 * [backup-simplify]: Simplify 0 into 0 49.339 * [backup-simplify]: Simplify 1 into 1 49.339 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 49.339 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.339 * [backup-simplify]: Simplify phi2 into phi2 49.339 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 49.339 * [backup-simplify]: Simplify (* 0 (pow phi2 2)) into 0 49.339 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 49.340 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow phi2 2))) into (pow phi2 2) 49.340 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 49.340 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (pow phi1 2))) in lambda2 49.340 * [taylor]: Taking taylor expansion of (* lambda2 (pow phi1 2)) in lambda2 49.340 * [taylor]: Taking taylor expansion of lambda2 in lambda2 49.340 * [backup-simplify]: Simplify 0 into 0 49.340 * [backup-simplify]: Simplify 1 into 1 49.340 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 49.340 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.340 * [backup-simplify]: Simplify phi1 into phi1 49.340 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 49.340 * [backup-simplify]: Simplify (* 0 (pow phi1 2)) into 0 49.340 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 49.341 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow phi1 2))) into (pow phi1 2) 49.341 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 49.341 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* lambda2 (* phi1 phi2)))) in lambda2 49.341 * [taylor]: Taking taylor expansion of 2 in lambda2 49.341 * [backup-simplify]: Simplify 2 into 2 49.341 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (* phi1 phi2))) in lambda2 49.341 * [taylor]: Taking taylor expansion of (* lambda2 (* phi1 phi2)) in lambda2 49.341 * [taylor]: Taking taylor expansion of lambda2 in lambda2 49.341 * [backup-simplify]: Simplify 0 into 0 49.341 * [backup-simplify]: Simplify 1 into 1 49.341 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 49.341 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.341 * [backup-simplify]: Simplify phi1 into phi1 49.341 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.341 * [backup-simplify]: Simplify phi2 into phi2 49.341 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 49.341 * [backup-simplify]: Simplify (* 0 (* phi1 phi2)) into 0 49.341 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 49.342 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* phi1 phi2))) into (* phi1 phi2) 49.342 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 49.342 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 49.342 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 49.342 * [taylor]: Taking taylor expansion of 1/2 in lambda2 49.342 * [backup-simplify]: Simplify 1/2 into 1/2 49.342 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 49.342 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 49.342 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.342 * [backup-simplify]: Simplify phi1 into phi1 49.342 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.342 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 49.342 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.342 * [backup-simplify]: Simplify phi2 into phi2 49.342 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.342 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 49.343 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 49.343 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.343 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.343 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 49.343 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 49.343 * [backup-simplify]: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) 49.343 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) 49.344 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.344 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 49.344 * [backup-simplify]: Simplify (- 0) into 0 49.344 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.345 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 49.345 * [backup-simplify]: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 49.345 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in phi1 49.345 * [taylor]: Taking taylor expansion of 1/2 in phi1 49.345 * [backup-simplify]: Simplify 1/2 into 1/2 49.345 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 49.345 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1 49.345 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in phi1 49.345 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 49.345 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 49.345 * [taylor]: Taking taylor expansion of phi2 in phi1 49.345 * [backup-simplify]: Simplify phi2 into phi2 49.345 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 49.345 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 49.346 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 49.346 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 49.346 * [taylor]: Taking taylor expansion of phi1 in phi1 49.346 * [backup-simplify]: Simplify 0 into 0 49.346 * [backup-simplify]: Simplify 1 into 1 49.346 * [backup-simplify]: Simplify (* 1 1) into 1 49.346 * [backup-simplify]: Simplify (/ 1 1) into 1 49.346 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 49.346 * [taylor]: Taking taylor expansion of 2 in phi1 49.346 * [backup-simplify]: Simplify 2 into 2 49.346 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 49.346 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 49.347 * [taylor]: Taking taylor expansion of phi1 in phi1 49.347 * [backup-simplify]: Simplify 0 into 0 49.347 * [backup-simplify]: Simplify 1 into 1 49.347 * [taylor]: Taking taylor expansion of phi2 in phi1 49.347 * [backup-simplify]: Simplify phi2 into phi2 49.347 * [backup-simplify]: Simplify (* 0 phi2) into 0 49.347 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 49.347 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.347 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 49.347 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 49.347 * [taylor]: Taking taylor expansion of 1/2 in phi1 49.347 * [backup-simplify]: Simplify 1/2 into 1/2 49.347 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 49.347 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 49.347 * [taylor]: Taking taylor expansion of phi1 in phi1 49.347 * [backup-simplify]: Simplify 0 into 0 49.347 * [backup-simplify]: Simplify 1 into 1 49.348 * [backup-simplify]: Simplify (/ 1 1) into 1 49.348 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 49.348 * [taylor]: Taking taylor expansion of phi2 in phi1 49.348 * [backup-simplify]: Simplify phi2 into phi2 49.348 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.348 * [backup-simplify]: Simplify (+ 1 0) into 1 49.349 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 49.349 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.349 * [backup-simplify]: Simplify (+ 0 1) into 1 49.350 * [backup-simplify]: Simplify (+ 1 0) into 1 49.350 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 49.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 49.352 * [backup-simplify]: Simplify (+ 0 0) into 0 49.352 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 49.352 * [backup-simplify]: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2))) 49.352 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 49.353 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (+ (* (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (- (* 2 (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)))) 49.353 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))) (* 0 (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) 49.353 * [taylor]: Taking taylor expansion of (- (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) in phi2 49.353 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)) in phi2 49.353 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2) in phi2 49.353 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 49.353 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 49.353 * [taylor]: Taking taylor expansion of 1/2 in phi2 49.353 * [backup-simplify]: Simplify 1/2 into 1/2 49.354 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 49.354 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 49.354 * [taylor]: Taking taylor expansion of phi1 in phi2 49.354 * [backup-simplify]: Simplify phi1 into phi1 49.354 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.354 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 49.354 * [taylor]: Taking taylor expansion of phi2 in phi2 49.354 * [backup-simplify]: Simplify 0 into 0 49.354 * [backup-simplify]: Simplify 1 into 1 49.354 * [backup-simplify]: Simplify (/ 1 1) into 1 49.355 * [backup-simplify]: Simplify (+ 0 1) into 1 49.355 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 49.356 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.356 * [taylor]: Taking taylor expansion of phi2 in phi2 49.356 * [backup-simplify]: Simplify 0 into 0 49.356 * [backup-simplify]: Simplify 1 into 1 49.356 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 49.356 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) (* 0 0)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.357 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 49.357 * [backup-simplify]: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 49.357 * [backup-simplify]: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 49.358 * [backup-simplify]: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 49.358 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in phi1 49.358 * [taylor]: Taking taylor expansion of 1/2 in phi1 49.358 * [backup-simplify]: Simplify 1/2 into 1/2 49.358 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 49.358 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1 49.358 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in phi1 49.358 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 49.358 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 49.358 * [taylor]: Taking taylor expansion of phi2 in phi1 49.358 * [backup-simplify]: Simplify phi2 into phi2 49.358 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 49.358 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 49.358 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 49.359 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 49.359 * [taylor]: Taking taylor expansion of phi1 in phi1 49.359 * [backup-simplify]: Simplify 0 into 0 49.359 * [backup-simplify]: Simplify 1 into 1 49.359 * [backup-simplify]: Simplify (* 1 1) into 1 49.359 * [backup-simplify]: Simplify (/ 1 1) into 1 49.359 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 49.359 * [taylor]: Taking taylor expansion of 2 in phi1 49.360 * [backup-simplify]: Simplify 2 into 2 49.360 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 49.360 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 49.360 * [taylor]: Taking taylor expansion of phi1 in phi1 49.360 * [backup-simplify]: Simplify 0 into 0 49.360 * [backup-simplify]: Simplify 1 into 1 49.360 * [taylor]: Taking taylor expansion of phi2 in phi1 49.360 * [backup-simplify]: Simplify phi2 into phi2 49.360 * [backup-simplify]: Simplify (* 0 phi2) into 0 49.360 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 49.360 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.360 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 49.360 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 49.360 * [taylor]: Taking taylor expansion of 1/2 in phi1 49.360 * [backup-simplify]: Simplify 1/2 into 1/2 49.360 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 49.360 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 49.361 * [taylor]: Taking taylor expansion of phi1 in phi1 49.361 * [backup-simplify]: Simplify 0 into 0 49.361 * [backup-simplify]: Simplify 1 into 1 49.361 * [backup-simplify]: Simplify (/ 1 1) into 1 49.361 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 49.361 * [taylor]: Taking taylor expansion of phi2 in phi1 49.361 * [backup-simplify]: Simplify phi2 into phi2 49.361 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.362 * [backup-simplify]: Simplify (+ 1 0) into 1 49.362 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 49.362 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.363 * [backup-simplify]: Simplify (+ 0 1) into 1 49.363 * [backup-simplify]: Simplify (+ 1 0) into 1 49.363 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 49.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 49.365 * [backup-simplify]: Simplify (+ 0 0) into 0 49.365 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 49.365 * [backup-simplify]: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2))) 49.365 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 49.366 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (+ (* (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (- (* 2 (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)))) 49.367 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))) (* 0 (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) 49.367 * [taylor]: Taking taylor expansion of (- (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) in phi2 49.367 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)) in phi2 49.367 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2) in phi2 49.367 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 49.367 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 49.367 * [taylor]: Taking taylor expansion of 1/2 in phi2 49.367 * [backup-simplify]: Simplify 1/2 into 1/2 49.367 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 49.367 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 49.367 * [taylor]: Taking taylor expansion of phi1 in phi2 49.367 * [backup-simplify]: Simplify phi1 into phi1 49.367 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.367 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 49.367 * [taylor]: Taking taylor expansion of phi2 in phi2 49.367 * [backup-simplify]: Simplify 0 into 0 49.367 * [backup-simplify]: Simplify 1 into 1 49.367 * [backup-simplify]: Simplify (/ 1 1) into 1 49.368 * [backup-simplify]: Simplify (+ 0 1) into 1 49.368 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 49.369 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.369 * [taylor]: Taking taylor expansion of phi2 in phi2 49.369 * [backup-simplify]: Simplify 0 into 0 49.369 * [backup-simplify]: Simplify 1 into 1 49.369 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 49.369 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) (* 0 0)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.369 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 49.370 * [backup-simplify]: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 49.370 * [backup-simplify]: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 49.371 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 49.372 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 49.372 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 49.372 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 49.372 * [backup-simplify]: Simplify (+ 0 0) into 0 49.373 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 49.374 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 49.375 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 49.375 * [backup-simplify]: Simplify (- 0) into 0 49.376 * [backup-simplify]: Simplify (+ 0 0) into 0 49.377 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 49.378 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 49.378 * [taylor]: Taking taylor expansion of 0 in phi1 49.378 * [backup-simplify]: Simplify 0 into 0 49.379 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 49.380 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 49.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 49.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 49.381 * [backup-simplify]: Simplify (+ 0 0) into 0 49.381 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 49.382 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 49.383 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 49.383 * [backup-simplify]: Simplify (- 0) into 0 49.384 * [backup-simplify]: Simplify (+ 0 0) into 0 49.384 * [taylor]: Taking taylor expansion of 0 in phi1 49.384 * [backup-simplify]: Simplify 0 into 0 49.384 * [taylor]: Taking taylor expansion of 0 in phi2 49.384 * [backup-simplify]: Simplify 0 into 0 49.384 * [taylor]: Taking taylor expansion of 0 in phi2 49.384 * [backup-simplify]: Simplify 0 into 0 49.385 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 49.385 * [taylor]: Taking taylor expansion of 0 in phi2 49.385 * [backup-simplify]: Simplify 0 into 0 49.385 * [taylor]: Taking taylor expansion of 0 in phi2 49.385 * [backup-simplify]: Simplify 0 into 0 49.385 * [backup-simplify]: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 49.385 * [backup-simplify]: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 49.387 * [backup-simplify]: Simplify (+ (* (* -1 (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2)))))) (* 1 (* 1 (* (/ 1 (/ 1 lambda2)) 1)))) (+ (* (- (/ 1 (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))))) (* (/ 1 (/ 1 phi2)) (* (/ 1 (/ 1 phi1)) (* 1 (/ 1 lambda1))))) (* (- (/ 1 (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))))) (* (/ 1 (/ 1 phi2)) (* (/ 1 (/ 1 phi1)) (* (/ 1 (/ 1 lambda2)) (pow (/ 1 lambda1) 2))))))) into (- (+ (/ (* lambda2 (* phi1 phi2)) (* (cos (* 1/2 (+ phi1 phi2))) (pow lambda1 2))) (+ (/ (* phi1 phi2) (* (cos (* 1/2 (+ phi1 phi2))) lambda1)) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))) 49.388 * [backup-simplify]: Simplify (sqrt (+ (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (* (* (cbrt (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (cbrt (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) (cbrt (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))))) (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))))) into (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) 49.388 * [approximate]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in (lambda1 lambda2 phi1 phi2) around 0 49.389 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in phi2 49.389 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in phi2 49.389 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in phi2 49.389 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi2 49.389 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2 49.389 * [taylor]: Taking taylor expansion of phi2 in phi2 49.389 * [backup-simplify]: Simplify 0 into 0 49.389 * [backup-simplify]: Simplify 1 into 1 49.389 * [backup-simplify]: Simplify (* 1 1) into 1 49.390 * [backup-simplify]: Simplify (/ 1 1) into 1 49.390 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in phi2 49.390 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi2 49.390 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi2 49.390 * [taylor]: Taking taylor expansion of phi1 in phi2 49.390 * [backup-simplify]: Simplify phi1 into phi1 49.390 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 49.390 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 49.390 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in phi2 49.390 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi2 49.390 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 49.390 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 49.390 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 49.390 * [taylor]: Taking taylor expansion of -1/2 in phi2 49.390 * [backup-simplify]: Simplify -1/2 into -1/2 49.390 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 49.390 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 49.390 * [taylor]: Taking taylor expansion of phi1 in phi2 49.390 * [backup-simplify]: Simplify phi1 into phi1 49.390 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.390 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 49.390 * [taylor]: Taking taylor expansion of phi2 in phi2 49.390 * [backup-simplify]: Simplify 0 into 0 49.391 * [backup-simplify]: Simplify 1 into 1 49.391 * [backup-simplify]: Simplify (/ 1 1) into 1 49.391 * [backup-simplify]: Simplify (+ 0 1) into 1 49.392 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 49.392 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.392 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi2 49.392 * [taylor]: Taking taylor expansion of lambda1 in phi2 49.392 * [backup-simplify]: Simplify lambda1 into lambda1 49.392 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.392 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 49.393 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 49.393 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi2 49.393 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 49.393 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 49.393 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 49.393 * [taylor]: Taking taylor expansion of -1/2 in phi2 49.393 * [backup-simplify]: Simplify -1/2 into -1/2 49.393 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 49.393 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 49.393 * [taylor]: Taking taylor expansion of phi1 in phi2 49.393 * [backup-simplify]: Simplify phi1 into phi1 49.393 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.393 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 49.393 * [taylor]: Taking taylor expansion of phi2 in phi2 49.393 * [backup-simplify]: Simplify 0 into 0 49.393 * [backup-simplify]: Simplify 1 into 1 49.394 * [backup-simplify]: Simplify (/ 1 1) into 1 49.394 * [backup-simplify]: Simplify (+ 0 1) into 1 49.394 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 49.395 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.395 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi2 49.395 * [taylor]: Taking taylor expansion of lambda2 in phi2 49.395 * [backup-simplify]: Simplify lambda2 into lambda2 49.395 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.395 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 49.395 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 49.395 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in phi2 49.395 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi2 49.395 * [taylor]: Taking taylor expansion of 2 in phi2 49.395 * [backup-simplify]: Simplify 2 into 2 49.395 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi2 49.395 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi2 49.395 * [taylor]: Taking taylor expansion of phi1 in phi2 49.396 * [backup-simplify]: Simplify phi1 into phi1 49.396 * [taylor]: Taking taylor expansion of phi2 in phi2 49.396 * [backup-simplify]: Simplify 0 into 0 49.396 * [backup-simplify]: Simplify 1 into 1 49.396 * [backup-simplify]: Simplify (* phi1 0) into 0 49.396 * [backup-simplify]: Simplify (+ (* phi1 1) (* 0 0)) into phi1 49.396 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.396 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in phi2 49.396 * [taylor]: Taking taylor expansion of 2 in phi2 49.396 * [backup-simplify]: Simplify 2 into 2 49.396 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in phi2 49.396 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 49.396 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 49.396 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 49.396 * [taylor]: Taking taylor expansion of -1/2 in phi2 49.396 * [backup-simplify]: Simplify -1/2 into -1/2 49.396 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 49.397 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 49.397 * [taylor]: Taking taylor expansion of phi1 in phi2 49.397 * [backup-simplify]: Simplify phi1 into phi1 49.397 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.397 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 49.397 * [taylor]: Taking taylor expansion of phi2 in phi2 49.397 * [backup-simplify]: Simplify 0 into 0 49.397 * [backup-simplify]: Simplify 1 into 1 49.397 * [backup-simplify]: Simplify (/ 1 1) into 1 49.398 * [backup-simplify]: Simplify (+ 0 1) into 1 49.398 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 49.398 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.398 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in phi2 49.398 * [taylor]: Taking taylor expansion of lambda1 in phi2 49.398 * [backup-simplify]: Simplify lambda1 into lambda1 49.398 * [taylor]: Taking taylor expansion of lambda2 in phi2 49.398 * [backup-simplify]: Simplify lambda2 into lambda2 49.399 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.399 * [backup-simplify]: Simplify (* lambda1 lambda2) into (* lambda2 lambda1) 49.399 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) 49.400 * [backup-simplify]: Simplify (+ 1 0) into 1 49.400 * [backup-simplify]: Simplify (+ 1 0) into 1 49.400 * [backup-simplify]: Simplify (sqrt 1) into 1 49.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 49.402 * [backup-simplify]: Simplify (+ 0 0) into 0 49.402 * [backup-simplify]: Simplify (* 2 (/ 1 phi1)) into (/ 2 phi1) 49.402 * [backup-simplify]: Simplify (+ (/ 2 phi1) 0) into (* 2 (/ 1 phi1)) 49.402 * [backup-simplify]: Simplify (- (* 2 (/ 1 phi1))) into (- (* 2 (/ 1 phi1))) 49.402 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi1)))) into (- (* 2 (/ 1 phi1))) 49.403 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 phi1))) (* 2 (sqrt 1))) into (/ -1 phi1) 49.403 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in phi1 49.403 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in phi1 49.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in phi1 49.403 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 49.403 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 49.403 * [taylor]: Taking taylor expansion of phi2 in phi1 49.403 * [backup-simplify]: Simplify phi2 into phi2 49.403 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 49.403 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 49.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in phi1 49.403 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 49.404 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 49.404 * [taylor]: Taking taylor expansion of phi1 in phi1 49.404 * [backup-simplify]: Simplify 0 into 0 49.404 * [backup-simplify]: Simplify 1 into 1 49.404 * [backup-simplify]: Simplify (* 1 1) into 1 49.404 * [backup-simplify]: Simplify (/ 1 1) into 1 49.404 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in phi1 49.404 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi1 49.404 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 49.404 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 49.404 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 49.404 * [taylor]: Taking taylor expansion of -1/2 in phi1 49.405 * [backup-simplify]: Simplify -1/2 into -1/2 49.405 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 49.405 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 49.405 * [taylor]: Taking taylor expansion of phi1 in phi1 49.405 * [backup-simplify]: Simplify 0 into 0 49.405 * [backup-simplify]: Simplify 1 into 1 49.405 * [backup-simplify]: Simplify (/ 1 1) into 1 49.405 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 49.405 * [taylor]: Taking taylor expansion of phi2 in phi1 49.405 * [backup-simplify]: Simplify phi2 into phi2 49.405 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.406 * [backup-simplify]: Simplify (+ 1 0) into 1 49.406 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 49.406 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.406 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi1 49.406 * [taylor]: Taking taylor expansion of lambda1 in phi1 49.406 * [backup-simplify]: Simplify lambda1 into lambda1 49.406 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.406 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 49.407 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 49.407 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi1 49.407 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 49.407 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 49.407 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 49.407 * [taylor]: Taking taylor expansion of -1/2 in phi1 49.407 * [backup-simplify]: Simplify -1/2 into -1/2 49.407 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 49.407 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 49.407 * [taylor]: Taking taylor expansion of phi1 in phi1 49.407 * [backup-simplify]: Simplify 0 into 0 49.407 * [backup-simplify]: Simplify 1 into 1 49.407 * [backup-simplify]: Simplify (/ 1 1) into 1 49.407 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 49.407 * [taylor]: Taking taylor expansion of phi2 in phi1 49.407 * [backup-simplify]: Simplify phi2 into phi2 49.407 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.408 * [backup-simplify]: Simplify (+ 1 0) into 1 49.409 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 49.409 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.409 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi1 49.409 * [taylor]: Taking taylor expansion of lambda2 in phi1 49.409 * [backup-simplify]: Simplify lambda2 into lambda2 49.409 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.409 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 49.409 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 49.410 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in phi1 49.410 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 49.410 * [taylor]: Taking taylor expansion of 2 in phi1 49.410 * [backup-simplify]: Simplify 2 into 2 49.410 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 49.410 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 49.410 * [taylor]: Taking taylor expansion of phi1 in phi1 49.410 * [backup-simplify]: Simplify 0 into 0 49.410 * [backup-simplify]: Simplify 1 into 1 49.410 * [taylor]: Taking taylor expansion of phi2 in phi1 49.410 * [backup-simplify]: Simplify phi2 into phi2 49.410 * [backup-simplify]: Simplify (* 0 phi2) into 0 49.410 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 49.410 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.410 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in phi1 49.410 * [taylor]: Taking taylor expansion of 2 in phi1 49.410 * [backup-simplify]: Simplify 2 into 2 49.410 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in phi1 49.410 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 49.411 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 49.411 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 49.411 * [taylor]: Taking taylor expansion of -1/2 in phi1 49.411 * [backup-simplify]: Simplify -1/2 into -1/2 49.411 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 49.411 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 49.411 * [taylor]: Taking taylor expansion of phi1 in phi1 49.411 * [backup-simplify]: Simplify 0 into 0 49.411 * [backup-simplify]: Simplify 1 into 1 49.411 * [backup-simplify]: Simplify (/ 1 1) into 1 49.411 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 49.411 * [taylor]: Taking taylor expansion of phi2 in phi1 49.411 * [backup-simplify]: Simplify phi2 into phi2 49.411 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.412 * [backup-simplify]: Simplify (+ 1 0) into 1 49.412 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 49.412 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.412 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in phi1 49.412 * [taylor]: Taking taylor expansion of lambda1 in phi1 49.412 * [backup-simplify]: Simplify lambda1 into lambda1 49.413 * [taylor]: Taking taylor expansion of lambda2 in phi1 49.413 * [backup-simplify]: Simplify lambda2 into lambda2 49.413 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.413 * [backup-simplify]: Simplify (* lambda1 lambda2) into (* lambda2 lambda1) 49.413 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) 49.413 * [backup-simplify]: Simplify (+ 1 0) into 1 49.414 * [backup-simplify]: Simplify (+ 0 1) into 1 49.414 * [backup-simplify]: Simplify (+ 1 0) into 1 49.415 * [backup-simplify]: Simplify (sqrt 1) into 1 49.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 49.416 * [backup-simplify]: Simplify (+ 0 0) into 0 49.417 * [backup-simplify]: Simplify (+ 0 0) into 0 49.417 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 49.417 * [backup-simplify]: Simplify (+ (/ 2 phi2) 0) into (* 2 (/ 1 phi2)) 49.417 * [backup-simplify]: Simplify (- (* 2 (/ 1 phi2))) into (- (* 2 (/ 1 phi2))) 49.417 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 49.418 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 phi2))) (* 2 (sqrt 1))) into (/ -1 phi2) 49.418 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in lambda2 49.418 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in lambda2 49.418 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in lambda2 49.418 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 49.418 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 49.418 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.418 * [backup-simplify]: Simplify phi2 into phi2 49.418 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 49.418 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 49.418 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in lambda2 49.418 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 49.418 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 49.418 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.418 * [backup-simplify]: Simplify phi1 into phi1 49.418 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 49.418 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 49.418 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in lambda2 49.419 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda2 49.419 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 49.419 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 49.419 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 49.419 * [taylor]: Taking taylor expansion of -1/2 in lambda2 49.419 * [backup-simplify]: Simplify -1/2 into -1/2 49.419 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 49.419 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 49.419 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.419 * [backup-simplify]: Simplify phi1 into phi1 49.419 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.419 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 49.419 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.419 * [backup-simplify]: Simplify phi2 into phi2 49.419 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.419 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 49.419 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 49.419 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.419 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.420 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.420 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 49.420 * [backup-simplify]: Simplify (- 0) into 0 49.420 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.420 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda2 49.420 * [taylor]: Taking taylor expansion of lambda1 in lambda2 49.420 * [backup-simplify]: Simplify lambda1 into lambda1 49.421 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.421 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 49.421 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 49.421 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda2 49.421 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 49.421 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 49.421 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 49.421 * [taylor]: Taking taylor expansion of -1/2 in lambda2 49.421 * [backup-simplify]: Simplify -1/2 into -1/2 49.421 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 49.421 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 49.421 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.421 * [backup-simplify]: Simplify phi1 into phi1 49.421 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.421 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 49.421 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.421 * [backup-simplify]: Simplify phi2 into phi2 49.421 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.421 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 49.422 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 49.422 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.422 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.422 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.422 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 49.423 * [backup-simplify]: Simplify (- 0) into 0 49.423 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.423 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 49.423 * [taylor]: Taking taylor expansion of lambda2 in lambda2 49.423 * [backup-simplify]: Simplify 0 into 0 49.423 * [backup-simplify]: Simplify 1 into 1 49.423 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.423 * [backup-simplify]: Simplify (* 1 1) into 1 49.424 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.424 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in lambda2 49.424 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 49.424 * [taylor]: Taking taylor expansion of 2 in lambda2 49.424 * [backup-simplify]: Simplify 2 into 2 49.424 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 49.424 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 49.424 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.424 * [backup-simplify]: Simplify phi1 into phi1 49.424 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.424 * [backup-simplify]: Simplify phi2 into phi2 49.424 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 49.424 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 49.424 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in lambda2 49.424 * [taylor]: Taking taylor expansion of 2 in lambda2 49.424 * [backup-simplify]: Simplify 2 into 2 49.424 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in lambda2 49.424 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 49.424 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 49.424 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 49.424 * [taylor]: Taking taylor expansion of -1/2 in lambda2 49.424 * [backup-simplify]: Simplify -1/2 into -1/2 49.424 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 49.424 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 49.424 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.424 * [backup-simplify]: Simplify phi1 into phi1 49.424 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.424 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 49.425 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.425 * [backup-simplify]: Simplify phi2 into phi2 49.425 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.425 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 49.425 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 49.425 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.425 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.425 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.425 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 49.426 * [backup-simplify]: Simplify (- 0) into 0 49.426 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.426 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in lambda2 49.426 * [taylor]: Taking taylor expansion of lambda1 in lambda2 49.426 * [backup-simplify]: Simplify lambda1 into lambda1 49.426 * [taylor]: Taking taylor expansion of lambda2 in lambda2 49.426 * [backup-simplify]: Simplify 0 into 0 49.426 * [backup-simplify]: Simplify 1 into 1 49.426 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.427 * [backup-simplify]: Simplify (* lambda1 0) into 0 49.427 * [backup-simplify]: Simplify (+ (* lambda1 1) (* 0 0)) into lambda1 49.427 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) 49.427 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.428 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.428 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.428 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.428 * [backup-simplify]: Simplify (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.429 * [backup-simplify]: Simplify (+ 0) into 0 49.429 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 49.429 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 49.429 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 49.430 * [backup-simplify]: Simplify (+ 0 0) into 0 49.430 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 49.431 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.431 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 49.432 * [backup-simplify]: Simplify (- 0) into 0 49.432 * [backup-simplify]: Simplify (+ 0 0) into 0 49.433 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 49.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 49.435 * [backup-simplify]: Simplify (+ 0 0) into 0 49.435 * [backup-simplify]: Simplify (+ 0 0) into 0 49.435 * [backup-simplify]: Simplify (+ 0 0) into 0 49.435 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) 49.436 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) 49.436 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) 49.436 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) 49.437 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) (* 2 (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1)) 49.437 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in lambda1 49.437 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in lambda1 49.437 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in lambda1 49.437 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 49.437 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 49.437 * [taylor]: Taking taylor expansion of phi2 in lambda1 49.437 * [backup-simplify]: Simplify phi2 into phi2 49.437 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 49.437 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 49.437 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in lambda1 49.437 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 49.437 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 49.437 * [taylor]: Taking taylor expansion of phi1 in lambda1 49.437 * [backup-simplify]: Simplify phi1 into phi1 49.438 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 49.438 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 49.438 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in lambda1 49.438 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 49.438 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 49.438 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 49.438 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 49.438 * [taylor]: Taking taylor expansion of -1/2 in lambda1 49.438 * [backup-simplify]: Simplify -1/2 into -1/2 49.438 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 49.438 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 49.438 * [taylor]: Taking taylor expansion of phi1 in lambda1 49.438 * [backup-simplify]: Simplify phi1 into phi1 49.438 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.438 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 49.438 * [taylor]: Taking taylor expansion of phi2 in lambda1 49.438 * [backup-simplify]: Simplify phi2 into phi2 49.438 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.438 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 49.438 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 49.438 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.439 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.439 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.439 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 49.439 * [backup-simplify]: Simplify (- 0) into 0 49.439 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.439 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 49.439 * [taylor]: Taking taylor expansion of lambda1 in lambda1 49.439 * [backup-simplify]: Simplify 0 into 0 49.440 * [backup-simplify]: Simplify 1 into 1 49.440 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.440 * [backup-simplify]: Simplify (* 1 1) into 1 49.440 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.440 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 49.440 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 49.440 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 49.441 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 49.441 * [taylor]: Taking taylor expansion of -1/2 in lambda1 49.441 * [backup-simplify]: Simplify -1/2 into -1/2 49.441 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 49.441 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 49.441 * [taylor]: Taking taylor expansion of phi1 in lambda1 49.441 * [backup-simplify]: Simplify phi1 into phi1 49.441 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.441 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 49.441 * [taylor]: Taking taylor expansion of phi2 in lambda1 49.441 * [backup-simplify]: Simplify phi2 into phi2 49.441 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.441 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 49.441 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 49.441 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.441 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.442 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.442 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 49.442 * [backup-simplify]: Simplify (- 0) into 0 49.442 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.442 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 49.442 * [taylor]: Taking taylor expansion of lambda2 in lambda1 49.442 * [backup-simplify]: Simplify lambda2 into lambda2 49.443 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.443 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 49.443 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 49.443 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in lambda1 49.443 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 49.443 * [taylor]: Taking taylor expansion of 2 in lambda1 49.443 * [backup-simplify]: Simplify 2 into 2 49.443 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 49.443 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 49.443 * [taylor]: Taking taylor expansion of phi1 in lambda1 49.443 * [backup-simplify]: Simplify phi1 into phi1 49.443 * [taylor]: Taking taylor expansion of phi2 in lambda1 49.443 * [backup-simplify]: Simplify phi2 into phi2 49.443 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 49.443 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 49.443 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in lambda1 49.443 * [taylor]: Taking taylor expansion of 2 in lambda1 49.443 * [backup-simplify]: Simplify 2 into 2 49.443 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in lambda1 49.443 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 49.444 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 49.444 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 49.444 * [taylor]: Taking taylor expansion of -1/2 in lambda1 49.444 * [backup-simplify]: Simplify -1/2 into -1/2 49.444 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 49.444 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 49.444 * [taylor]: Taking taylor expansion of phi1 in lambda1 49.444 * [backup-simplify]: Simplify phi1 into phi1 49.444 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.444 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 49.444 * [taylor]: Taking taylor expansion of phi2 in lambda1 49.444 * [backup-simplify]: Simplify phi2 into phi2 49.444 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.444 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 49.444 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 49.444 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.444 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.444 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.445 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 49.445 * [backup-simplify]: Simplify (- 0) into 0 49.445 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.445 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in lambda1 49.445 * [taylor]: Taking taylor expansion of lambda1 in lambda1 49.445 * [backup-simplify]: Simplify 0 into 0 49.445 * [backup-simplify]: Simplify 1 into 1 49.445 * [taylor]: Taking taylor expansion of lambda2 in lambda1 49.445 * [backup-simplify]: Simplify lambda2 into lambda2 49.446 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.446 * [backup-simplify]: Simplify (* 0 lambda2) into 0 49.446 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda2)) into lambda2 49.446 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 49.447 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.447 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.447 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.447 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.447 * [backup-simplify]: Simplify (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.448 * [backup-simplify]: Simplify (+ 0) into 0 49.448 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 49.448 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 49.449 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 49.449 * [backup-simplify]: Simplify (+ 0 0) into 0 49.450 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 49.450 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.451 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 49.451 * [backup-simplify]: Simplify (- 0) into 0 49.452 * [backup-simplify]: Simplify (+ 0 0) into 0 49.452 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 49.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.454 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 49.454 * [backup-simplify]: Simplify (+ 0 0) into 0 49.454 * [backup-simplify]: Simplify (+ 0 0) into 0 49.455 * [backup-simplify]: Simplify (+ 0 0) into 0 49.455 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 49.455 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 49.456 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 49.456 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 49.457 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 49.457 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in lambda1 49.457 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in lambda1 49.457 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in lambda1 49.457 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 49.457 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 49.457 * [taylor]: Taking taylor expansion of phi2 in lambda1 49.457 * [backup-simplify]: Simplify phi2 into phi2 49.457 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 49.457 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 49.457 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in lambda1 49.457 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 49.457 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 49.457 * [taylor]: Taking taylor expansion of phi1 in lambda1 49.457 * [backup-simplify]: Simplify phi1 into phi1 49.457 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 49.457 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 49.457 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in lambda1 49.457 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 49.457 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 49.457 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 49.457 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 49.457 * [taylor]: Taking taylor expansion of -1/2 in lambda1 49.457 * [backup-simplify]: Simplify -1/2 into -1/2 49.457 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 49.457 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 49.457 * [taylor]: Taking taylor expansion of phi1 in lambda1 49.458 * [backup-simplify]: Simplify phi1 into phi1 49.458 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.458 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 49.458 * [taylor]: Taking taylor expansion of phi2 in lambda1 49.458 * [backup-simplify]: Simplify phi2 into phi2 49.458 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.458 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 49.458 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 49.458 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.458 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.459 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.459 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 49.459 * [backup-simplify]: Simplify (- 0) into 0 49.460 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.460 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 49.460 * [taylor]: Taking taylor expansion of lambda1 in lambda1 49.460 * [backup-simplify]: Simplify 0 into 0 49.460 * [backup-simplify]: Simplify 1 into 1 49.460 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.460 * [backup-simplify]: Simplify (* 1 1) into 1 49.461 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.461 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 49.461 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 49.461 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 49.461 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 49.461 * [taylor]: Taking taylor expansion of -1/2 in lambda1 49.461 * [backup-simplify]: Simplify -1/2 into -1/2 49.461 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 49.461 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 49.461 * [taylor]: Taking taylor expansion of phi1 in lambda1 49.461 * [backup-simplify]: Simplify phi1 into phi1 49.461 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.461 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 49.461 * [taylor]: Taking taylor expansion of phi2 in lambda1 49.461 * [backup-simplify]: Simplify phi2 into phi2 49.461 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.461 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 49.461 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 49.461 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.462 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.462 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.462 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 49.462 * [backup-simplify]: Simplify (- 0) into 0 49.462 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.463 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 49.463 * [taylor]: Taking taylor expansion of lambda2 in lambda1 49.463 * [backup-simplify]: Simplify lambda2 into lambda2 49.463 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.463 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 49.463 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 49.463 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in lambda1 49.463 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 49.463 * [taylor]: Taking taylor expansion of 2 in lambda1 49.463 * [backup-simplify]: Simplify 2 into 2 49.463 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 49.463 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 49.463 * [taylor]: Taking taylor expansion of phi1 in lambda1 49.463 * [backup-simplify]: Simplify phi1 into phi1 49.463 * [taylor]: Taking taylor expansion of phi2 in lambda1 49.464 * [backup-simplify]: Simplify phi2 into phi2 49.464 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 49.464 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 49.464 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in lambda1 49.464 * [taylor]: Taking taylor expansion of 2 in lambda1 49.464 * [backup-simplify]: Simplify 2 into 2 49.464 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in lambda1 49.464 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 49.464 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 49.464 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 49.464 * [taylor]: Taking taylor expansion of -1/2 in lambda1 49.464 * [backup-simplify]: Simplify -1/2 into -1/2 49.464 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 49.464 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 49.464 * [taylor]: Taking taylor expansion of phi1 in lambda1 49.464 * [backup-simplify]: Simplify phi1 into phi1 49.465 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.465 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 49.465 * [taylor]: Taking taylor expansion of phi2 in lambda1 49.465 * [backup-simplify]: Simplify phi2 into phi2 49.465 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.465 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 49.465 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 49.465 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.465 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.465 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.466 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 49.466 * [backup-simplify]: Simplify (- 0) into 0 49.466 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.466 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in lambda1 49.466 * [taylor]: Taking taylor expansion of lambda1 in lambda1 49.466 * [backup-simplify]: Simplify 0 into 0 49.466 * [backup-simplify]: Simplify 1 into 1 49.466 * [taylor]: Taking taylor expansion of lambda2 in lambda1 49.466 * [backup-simplify]: Simplify lambda2 into lambda2 49.467 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.467 * [backup-simplify]: Simplify (* 0 lambda2) into 0 49.467 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda2)) into lambda2 49.468 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 49.468 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.468 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.468 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.468 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.469 * [backup-simplify]: Simplify (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.469 * [backup-simplify]: Simplify (+ 0) into 0 49.470 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 49.470 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 49.470 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 49.470 * [backup-simplify]: Simplify (+ 0 0) into 0 49.471 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 49.471 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.472 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 49.472 * [backup-simplify]: Simplify (- 0) into 0 49.473 * [backup-simplify]: Simplify (+ 0 0) into 0 49.473 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 49.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 49.477 * [backup-simplify]: Simplify (+ 0 0) into 0 49.478 * [backup-simplify]: Simplify (+ 0 0) into 0 49.478 * [backup-simplify]: Simplify (+ 0 0) into 0 49.478 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 49.479 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 49.479 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 49.479 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 49.480 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 49.480 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 49.480 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 49.480 * [taylor]: Taking taylor expansion of -1/2 in lambda2 49.480 * [backup-simplify]: Simplify -1/2 into -1/2 49.480 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 49.480 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 49.480 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.480 * [backup-simplify]: Simplify phi1 into phi1 49.480 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.480 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 49.481 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.481 * [backup-simplify]: Simplify phi2 into phi2 49.481 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.481 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 49.481 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 49.481 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.481 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.481 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) in lambda2 49.481 * [taylor]: Taking taylor expansion of -1 in lambda2 49.481 * [backup-simplify]: Simplify -1 into -1 49.481 * [taylor]: Taking taylor expansion of (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2) in lambda2 49.481 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 49.481 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 49.481 * [taylor]: Taking taylor expansion of -1/2 in lambda2 49.481 * [backup-simplify]: Simplify -1/2 into -1/2 49.481 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 49.481 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 49.481 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.481 * [backup-simplify]: Simplify phi1 into phi1 49.481 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.482 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 49.482 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.482 * [backup-simplify]: Simplify phi2 into phi2 49.482 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.482 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 49.482 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 49.482 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.482 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.482 * [taylor]: Taking taylor expansion of lambda2 in lambda2 49.482 * [backup-simplify]: Simplify 0 into 0 49.482 * [backup-simplify]: Simplify 1 into 1 49.482 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.482 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 49.483 * [backup-simplify]: Simplify (- 0) into 0 49.483 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.483 * [backup-simplify]: Simplify (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.483 * [backup-simplify]: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 49.483 * [taylor]: Taking taylor expansion of (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 49.483 * [taylor]: Taking taylor expansion of -1 in phi1 49.483 * [backup-simplify]: Simplify -1 into -1 49.483 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 49.483 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 49.484 * [taylor]: Taking taylor expansion of -1/2 in phi1 49.484 * [backup-simplify]: Simplify -1/2 into -1/2 49.484 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 49.484 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 49.484 * [taylor]: Taking taylor expansion of phi1 in phi1 49.484 * [backup-simplify]: Simplify 0 into 0 49.484 * [backup-simplify]: Simplify 1 into 1 49.484 * [backup-simplify]: Simplify (/ 1 1) into 1 49.484 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 49.484 * [taylor]: Taking taylor expansion of phi2 in phi1 49.484 * [backup-simplify]: Simplify phi2 into phi2 49.484 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.485 * [backup-simplify]: Simplify (+ 1 0) into 1 49.485 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 49.485 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.485 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.486 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 49.486 * [backup-simplify]: Simplify (- 0) into 0 49.486 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.486 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 49.486 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 49.486 * [taylor]: Taking taylor expansion of -1/2 in phi1 49.486 * [backup-simplify]: Simplify -1/2 into -1/2 49.486 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 49.486 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 49.486 * [taylor]: Taking taylor expansion of phi1 in phi1 49.486 * [backup-simplify]: Simplify 0 into 0 49.486 * [backup-simplify]: Simplify 1 into 1 49.487 * [backup-simplify]: Simplify (/ 1 1) into 1 49.487 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 49.487 * [taylor]: Taking taylor expansion of phi2 in phi1 49.487 * [backup-simplify]: Simplify phi2 into phi2 49.487 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.487 * [backup-simplify]: Simplify (+ 1 0) into 1 49.488 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 49.488 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.489 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 49.490 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 49.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 49.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 49.491 * [backup-simplify]: Simplify (+ 0 0) into 0 49.491 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 49.493 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 49.493 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 49.494 * [backup-simplify]: Simplify (- 0) into 0 49.494 * [backup-simplify]: Simplify (+ 0 0) into 0 49.495 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 49.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 49.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 49.497 * [backup-simplify]: Simplify (+ 0 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 49.498 * [backup-simplify]: Simplify (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) into (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) 49.498 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) into (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) 49.498 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 49.499 * [backup-simplify]: Simplify (+ 0) into 0 49.499 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 49.499 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 49.500 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 49.500 * [backup-simplify]: Simplify (+ 0 0) into 0 49.501 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 49.501 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.502 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 49.502 * [backup-simplify]: Simplify (- 0) into 0 49.503 * [backup-simplify]: Simplify (+ 0 0) into 0 49.503 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 49.504 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 lambda2))) into 0 49.504 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)))) into 0 49.505 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into 0 49.505 * [backup-simplify]: Simplify (+ (/ 2 (* phi1 phi2)) 0) into (* 2 (/ 1 (* phi1 phi2))) 49.505 * [backup-simplify]: Simplify (- (* 2 (/ 1 (* phi1 phi2)))) into (- (* 2 (/ 1 (* phi1 phi2)))) 49.506 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 49.507 * [backup-simplify]: Simplify (/ (- (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (* 2 (/ 1 (* phi1 phi2)))) (pow (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 2) (+)) (* 2 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 49.507 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in lambda2 49.507 * [taylor]: Taking taylor expansion of 1/2 in lambda2 49.507 * [backup-simplify]: Simplify 1/2 into 1/2 49.507 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in lambda2 49.507 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in lambda2 49.507 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in lambda2 49.507 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 49.507 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 49.507 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.507 * [backup-simplify]: Simplify phi2 into phi2 49.507 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 49.508 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 49.508 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 49.508 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 49.508 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.508 * [backup-simplify]: Simplify phi1 into phi1 49.508 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 49.508 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 49.508 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 49.508 * [taylor]: Taking taylor expansion of 2 in lambda2 49.508 * [backup-simplify]: Simplify 2 into 2 49.508 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 49.508 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 49.508 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.508 * [backup-simplify]: Simplify phi1 into phi1 49.508 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.508 * [backup-simplify]: Simplify phi2 into phi2 49.508 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 49.508 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 49.508 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 49.508 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 49.508 * [taylor]: Taking taylor expansion of -1/2 in lambda2 49.508 * [backup-simplify]: Simplify -1/2 into -1/2 49.508 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 49.508 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 49.508 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.508 * [backup-simplify]: Simplify phi1 into phi1 49.508 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.508 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 49.508 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.508 * [backup-simplify]: Simplify phi2 into phi2 49.509 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.509 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 49.509 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 49.509 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.509 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.509 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 49.509 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 49.509 * [backup-simplify]: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) 49.510 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) 49.510 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.510 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 49.511 * [backup-simplify]: Simplify (- 0) into 0 49.511 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.511 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 49.512 * [backup-simplify]: Simplify (+ 0) into 0 49.512 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 49.512 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 49.512 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 49.513 * [backup-simplify]: Simplify (+ 0 0) into 0 49.513 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 49.513 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.514 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 49.514 * [backup-simplify]: Simplify (- 0) into 0 49.514 * [backup-simplify]: Simplify (+ 0 0) into 0 49.515 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (/ 0 1)))) into 0 49.515 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 49.515 * [taylor]: Taking taylor expansion of 0 in phi1 49.515 * [backup-simplify]: Simplify 0 into 0 49.516 * [backup-simplify]: Simplify (+ 0) into 0 49.516 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 49.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 49.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 49.516 * [backup-simplify]: Simplify (+ 0 0) into 0 49.517 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 49.517 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.517 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 49.518 * [backup-simplify]: Simplify (- 0) into 0 49.518 * [backup-simplify]: Simplify (+ 0 0) into 0 49.518 * [taylor]: Taking taylor expansion of 0 in phi1 49.518 * [backup-simplify]: Simplify 0 into 0 49.518 * [backup-simplify]: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 49.518 * [taylor]: Taking taylor expansion of (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi2 49.518 * [taylor]: Taking taylor expansion of -1 in phi2 49.518 * [backup-simplify]: Simplify -1 into -1 49.518 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 49.518 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 49.518 * [taylor]: Taking taylor expansion of -1/2 in phi2 49.518 * [backup-simplify]: Simplify -1/2 into -1/2 49.518 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 49.518 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 49.518 * [taylor]: Taking taylor expansion of phi1 in phi2 49.518 * [backup-simplify]: Simplify phi1 into phi1 49.518 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.518 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 49.518 * [taylor]: Taking taylor expansion of phi2 in phi2 49.518 * [backup-simplify]: Simplify 0 into 0 49.518 * [backup-simplify]: Simplify 1 into 1 49.518 * [backup-simplify]: Simplify (/ 1 1) into 1 49.519 * [backup-simplify]: Simplify (+ 0 1) into 1 49.519 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 49.519 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.519 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 49.519 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 49.519 * [taylor]: Taking taylor expansion of -1/2 in phi2 49.519 * [backup-simplify]: Simplify -1/2 into -1/2 49.519 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 49.519 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 49.520 * [taylor]: Taking taylor expansion of phi1 in phi2 49.520 * [backup-simplify]: Simplify phi1 into phi1 49.520 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.520 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 49.520 * [taylor]: Taking taylor expansion of phi2 in phi2 49.520 * [backup-simplify]: Simplify 0 into 0 49.520 * [backup-simplify]: Simplify 1 into 1 49.520 * [backup-simplify]: Simplify (/ 1 1) into 1 49.520 * [backup-simplify]: Simplify (+ 0 1) into 1 49.520 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 49.520 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.521 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 49.521 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))))) into 0 49.521 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 49.521 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))))) into 0 49.521 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 49.522 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 49.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 49.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 49.522 * [backup-simplify]: Simplify (+ 0 0) into 0 49.523 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 49.524 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 49.524 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 49.525 * [backup-simplify]: Simplify (- 0) into 0 49.525 * [backup-simplify]: Simplify (+ 0 0) into 0 49.526 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into 0 49.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 49.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 49.528 * [backup-simplify]: Simplify (+ 0) into 0 49.528 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 49.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 49.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 49.528 * [backup-simplify]: Simplify (+ 0 0) into 0 49.529 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 49.529 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.529 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 49.530 * [backup-simplify]: Simplify (- 0) into 0 49.530 * [backup-simplify]: Simplify (+ 0 0) into 0 49.530 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 49.530 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 49.530 * [backup-simplify]: Simplify (- (/ 0 (pow lambda2 2)) (+ (* (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (/ 0 (pow lambda2 2))))) into 0 49.531 * [backup-simplify]: Simplify (+ 0 0) into 0 49.531 * [backup-simplify]: Simplify (+ 0 0) into 0 49.531 * [backup-simplify]: Simplify (+ 0 0) into 0 49.531 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 49.531 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))))) into 0 49.531 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (* phi1 phi2)))) into 0 49.532 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 49.532 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 49.533 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 49.533 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 49.533 * [backup-simplify]: Simplify (+ 0 0) into 0 49.533 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 49.534 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 49.534 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 49.534 * [backup-simplify]: Simplify (- 0) into 0 49.535 * [backup-simplify]: Simplify (+ 0 0) into 0 49.535 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 49.536 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 lambda2)))) into 0 49.536 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 49.537 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into 0 49.537 * [backup-simplify]: Simplify (+ 0 0) into 0 49.537 * [backup-simplify]: Simplify (- 0) into 0 49.537 * [backup-simplify]: Simplify (+ 0 0) into 0 49.538 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))))) (* 2 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 49.538 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in lambda2 49.538 * [taylor]: Taking taylor expansion of 1/2 in lambda2 49.538 * [backup-simplify]: Simplify 1/2 into 1/2 49.538 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in lambda2 49.538 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) in lambda2 49.538 * [taylor]: Taking taylor expansion of (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) in lambda2 49.538 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (pow phi2 2))) in lambda2 49.538 * [taylor]: Taking taylor expansion of (* lambda2 (pow phi2 2)) in lambda2 49.538 * [taylor]: Taking taylor expansion of lambda2 in lambda2 49.538 * [backup-simplify]: Simplify 0 into 0 49.538 * [backup-simplify]: Simplify 1 into 1 49.538 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 49.538 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.538 * [backup-simplify]: Simplify phi2 into phi2 49.538 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 49.538 * [backup-simplify]: Simplify (* 0 (pow phi2 2)) into 0 49.538 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 49.539 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow phi2 2))) into (pow phi2 2) 49.539 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 49.539 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (pow phi1 2))) in lambda2 49.539 * [taylor]: Taking taylor expansion of (* lambda2 (pow phi1 2)) in lambda2 49.539 * [taylor]: Taking taylor expansion of lambda2 in lambda2 49.539 * [backup-simplify]: Simplify 0 into 0 49.539 * [backup-simplify]: Simplify 1 into 1 49.539 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 49.539 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.539 * [backup-simplify]: Simplify phi1 into phi1 49.539 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 49.539 * [backup-simplify]: Simplify (* 0 (pow phi1 2)) into 0 49.539 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 49.539 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow phi1 2))) into (pow phi1 2) 49.539 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 49.539 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* lambda2 (* phi1 phi2)))) in lambda2 49.539 * [taylor]: Taking taylor expansion of 2 in lambda2 49.539 * [backup-simplify]: Simplify 2 into 2 49.539 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (* phi1 phi2))) in lambda2 49.539 * [taylor]: Taking taylor expansion of (* lambda2 (* phi1 phi2)) in lambda2 49.539 * [taylor]: Taking taylor expansion of lambda2 in lambda2 49.539 * [backup-simplify]: Simplify 0 into 0 49.539 * [backup-simplify]: Simplify 1 into 1 49.539 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 49.539 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.539 * [backup-simplify]: Simplify phi1 into phi1 49.539 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.539 * [backup-simplify]: Simplify phi2 into phi2 49.539 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 49.540 * [backup-simplify]: Simplify (* 0 (* phi1 phi2)) into 0 49.540 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 49.540 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* phi1 phi2))) into (* phi1 phi2) 49.540 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 49.540 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 49.540 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 49.540 * [taylor]: Taking taylor expansion of -1/2 in lambda2 49.540 * [backup-simplify]: Simplify -1/2 into -1/2 49.540 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 49.540 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 49.540 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.540 * [backup-simplify]: Simplify phi1 into phi1 49.540 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.540 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 49.540 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.540 * [backup-simplify]: Simplify phi2 into phi2 49.540 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.540 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 49.540 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 49.540 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.540 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.541 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 49.541 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 49.541 * [backup-simplify]: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) 49.541 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) 49.541 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.541 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 49.541 * [backup-simplify]: Simplify (- 0) into 0 49.541 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.542 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 49.542 * [backup-simplify]: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 49.542 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in phi1 49.542 * [taylor]: Taking taylor expansion of 1/2 in phi1 49.542 * [backup-simplify]: Simplify 1/2 into 1/2 49.542 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 49.542 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1 49.542 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in phi1 49.542 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 49.542 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 49.542 * [taylor]: Taking taylor expansion of phi2 in phi1 49.542 * [backup-simplify]: Simplify phi2 into phi2 49.542 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 49.542 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 49.542 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 49.542 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 49.542 * [taylor]: Taking taylor expansion of phi1 in phi1 49.542 * [backup-simplify]: Simplify 0 into 0 49.542 * [backup-simplify]: Simplify 1 into 1 49.542 * [backup-simplify]: Simplify (* 1 1) into 1 49.543 * [backup-simplify]: Simplify (/ 1 1) into 1 49.543 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 49.543 * [taylor]: Taking taylor expansion of 2 in phi1 49.543 * [backup-simplify]: Simplify 2 into 2 49.543 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 49.543 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 49.543 * [taylor]: Taking taylor expansion of phi1 in phi1 49.543 * [backup-simplify]: Simplify 0 into 0 49.543 * [backup-simplify]: Simplify 1 into 1 49.543 * [taylor]: Taking taylor expansion of phi2 in phi1 49.543 * [backup-simplify]: Simplify phi2 into phi2 49.543 * [backup-simplify]: Simplify (* 0 phi2) into 0 49.543 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 49.543 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.543 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 49.543 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 49.543 * [taylor]: Taking taylor expansion of -1/2 in phi1 49.543 * [backup-simplify]: Simplify -1/2 into -1/2 49.543 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 49.543 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 49.543 * [taylor]: Taking taylor expansion of phi1 in phi1 49.543 * [backup-simplify]: Simplify 0 into 0 49.543 * [backup-simplify]: Simplify 1 into 1 49.543 * [backup-simplify]: Simplify (/ 1 1) into 1 49.544 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 49.544 * [taylor]: Taking taylor expansion of phi2 in phi1 49.544 * [backup-simplify]: Simplify phi2 into phi2 49.544 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.544 * [backup-simplify]: Simplify (+ 1 0) into 1 49.544 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 49.544 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.545 * [backup-simplify]: Simplify (+ 0 1) into 1 49.545 * [backup-simplify]: Simplify (+ 1 0) into 1 49.545 * [backup-simplify]: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 49.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 49.547 * [backup-simplify]: Simplify (+ 0 0) into 0 49.547 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 49.547 * [backup-simplify]: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2))) 49.547 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 49.548 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (+ (* (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)))) 49.548 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))) (* 0 (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) 49.548 * [taylor]: Taking taylor expansion of (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) in phi2 49.548 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)) in phi2 49.548 * [taylor]: Taking taylor expansion of (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2) in phi2 49.548 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 49.548 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 49.548 * [taylor]: Taking taylor expansion of -1/2 in phi2 49.548 * [backup-simplify]: Simplify -1/2 into -1/2 49.548 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 49.548 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 49.549 * [taylor]: Taking taylor expansion of phi1 in phi2 49.549 * [backup-simplify]: Simplify phi1 into phi1 49.549 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.549 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 49.549 * [taylor]: Taking taylor expansion of phi2 in phi2 49.549 * [backup-simplify]: Simplify 0 into 0 49.549 * [backup-simplify]: Simplify 1 into 1 49.549 * [backup-simplify]: Simplify (/ 1 1) into 1 49.550 * [backup-simplify]: Simplify (+ 0 1) into 1 49.550 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 49.550 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.550 * [taylor]: Taking taylor expansion of phi2 in phi2 49.550 * [backup-simplify]: Simplify 0 into 0 49.550 * [backup-simplify]: Simplify 1 into 1 49.551 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 49.551 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) (* 0 0)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.551 * [backup-simplify]: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 49.551 * [backup-simplify]: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 49.552 * [backup-simplify]: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 49.552 * [backup-simplify]: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 49.552 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in phi1 49.552 * [taylor]: Taking taylor expansion of 1/2 in phi1 49.552 * [backup-simplify]: Simplify 1/2 into 1/2 49.552 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 49.552 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1 49.552 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in phi1 49.552 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 49.553 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 49.553 * [taylor]: Taking taylor expansion of phi2 in phi1 49.553 * [backup-simplify]: Simplify phi2 into phi2 49.553 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 49.553 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 49.553 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 49.553 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 49.553 * [taylor]: Taking taylor expansion of phi1 in phi1 49.553 * [backup-simplify]: Simplify 0 into 0 49.553 * [backup-simplify]: Simplify 1 into 1 49.553 * [backup-simplify]: Simplify (* 1 1) into 1 49.554 * [backup-simplify]: Simplify (/ 1 1) into 1 49.554 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 49.554 * [taylor]: Taking taylor expansion of 2 in phi1 49.554 * [backup-simplify]: Simplify 2 into 2 49.554 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 49.554 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 49.554 * [taylor]: Taking taylor expansion of phi1 in phi1 49.554 * [backup-simplify]: Simplify 0 into 0 49.554 * [backup-simplify]: Simplify 1 into 1 49.554 * [taylor]: Taking taylor expansion of phi2 in phi1 49.554 * [backup-simplify]: Simplify phi2 into phi2 49.554 * [backup-simplify]: Simplify (* 0 phi2) into 0 49.554 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 49.554 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.554 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 49.555 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 49.555 * [taylor]: Taking taylor expansion of -1/2 in phi1 49.555 * [backup-simplify]: Simplify -1/2 into -1/2 49.555 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 49.555 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 49.555 * [taylor]: Taking taylor expansion of phi1 in phi1 49.555 * [backup-simplify]: Simplify 0 into 0 49.555 * [backup-simplify]: Simplify 1 into 1 49.555 * [backup-simplify]: Simplify (/ 1 1) into 1 49.555 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 49.555 * [taylor]: Taking taylor expansion of phi2 in phi1 49.555 * [backup-simplify]: Simplify phi2 into phi2 49.555 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.556 * [backup-simplify]: Simplify (+ 1 0) into 1 49.556 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 49.556 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.557 * [backup-simplify]: Simplify (+ 0 1) into 1 49.557 * [backup-simplify]: Simplify (+ 1 0) into 1 49.557 * [backup-simplify]: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 49.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 49.559 * [backup-simplify]: Simplify (+ 0 0) into 0 49.559 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 49.559 * [backup-simplify]: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2))) 49.559 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 49.560 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (+ (* (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)))) 49.560 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))) (* 0 (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) 49.560 * [taylor]: Taking taylor expansion of (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) in phi2 49.560 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)) in phi2 49.560 * [taylor]: Taking taylor expansion of (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2) in phi2 49.560 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 49.560 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 49.560 * [taylor]: Taking taylor expansion of -1/2 in phi2 49.560 * [backup-simplify]: Simplify -1/2 into -1/2 49.560 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 49.560 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 49.560 * [taylor]: Taking taylor expansion of phi1 in phi2 49.560 * [backup-simplify]: Simplify phi1 into phi1 49.560 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.560 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 49.560 * [taylor]: Taking taylor expansion of phi2 in phi2 49.560 * [backup-simplify]: Simplify 0 into 0 49.560 * [backup-simplify]: Simplify 1 into 1 49.561 * [backup-simplify]: Simplify (/ 1 1) into 1 49.561 * [backup-simplify]: Simplify (+ 0 1) into 1 49.562 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 49.562 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.562 * [taylor]: Taking taylor expansion of phi2 in phi2 49.562 * [backup-simplify]: Simplify 0 into 0 49.562 * [backup-simplify]: Simplify 1 into 1 49.563 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 49.563 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) (* 0 0)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.563 * [backup-simplify]: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 49.564 * [backup-simplify]: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 49.564 * [backup-simplify]: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 49.565 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 49.566 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 49.566 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 49.566 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 49.567 * [backup-simplify]: Simplify (+ 0 0) into 0 49.568 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 49.568 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 49.569 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 49.570 * [backup-simplify]: Simplify (- 0) into 0 49.570 * [backup-simplify]: Simplify (+ 0 0) into 0 49.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 49.573 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 49.573 * [taylor]: Taking taylor expansion of 0 in phi1 49.573 * [backup-simplify]: Simplify 0 into 0 49.574 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 49.575 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 49.575 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 49.575 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 49.576 * [backup-simplify]: Simplify (+ 0 0) into 0 49.577 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 49.578 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 49.579 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 49.579 * [backup-simplify]: Simplify (- 0) into 0 49.580 * [backup-simplify]: Simplify (+ 0 0) into 0 49.580 * [taylor]: Taking taylor expansion of 0 in phi1 49.580 * [backup-simplify]: Simplify 0 into 0 49.580 * [taylor]: Taking taylor expansion of 0 in phi2 49.580 * [backup-simplify]: Simplify 0 into 0 49.580 * [taylor]: Taking taylor expansion of 0 in phi2 49.580 * [backup-simplify]: Simplify 0 into 0 49.581 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 49.581 * [taylor]: Taking taylor expansion of 0 in phi2 49.581 * [backup-simplify]: Simplify 0 into 0 49.581 * [taylor]: Taking taylor expansion of 0 in phi2 49.581 * [backup-simplify]: Simplify 0 into 0 49.581 * [backup-simplify]: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 49.581 * [backup-simplify]: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 49.583 * [backup-simplify]: Simplify (+ (* (* -1 (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2))))))) (* 1 (* 1 (* (/ 1 (/ 1 (- lambda2))) 1)))) (+ (* (- (/ 1 (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))))) (* (/ 1 (/ 1 (- phi2))) (* (/ 1 (/ 1 (- phi1))) (* 1 (/ 1 (- lambda1)))))) (* (- (/ 1 (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))))) (* (/ 1 (/ 1 (- phi2))) (* (/ 1 (/ 1 (- phi1))) (* (/ 1 (/ 1 (- lambda2))) (pow (/ 1 (- lambda1)) 2))))))) into (+ (/ (* lambda2 (* phi1 phi2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2))))) (+ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) (/ (* phi1 phi2) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))))) 49.583 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2 2 2 1) 49.583 * [backup-simplify]: Simplify (cos (/ (+ phi1 phi2) 2)) into (cos (* 1/2 (+ phi1 phi2))) 49.583 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in (phi1 phi2) around 0 49.583 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 49.583 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 49.583 * [taylor]: Taking taylor expansion of 1/2 in phi2 49.583 * [backup-simplify]: Simplify 1/2 into 1/2 49.583 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 49.583 * [taylor]: Taking taylor expansion of phi1 in phi2 49.583 * [backup-simplify]: Simplify phi1 into phi1 49.583 * [taylor]: Taking taylor expansion of phi2 in phi2 49.583 * [backup-simplify]: Simplify 0 into 0 49.584 * [backup-simplify]: Simplify 1 into 1 49.584 * [backup-simplify]: Simplify (+ phi1 0) into phi1 49.584 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 49.584 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 49.584 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 49.584 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 49.584 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 49.584 * [taylor]: Taking taylor expansion of 1/2 in phi1 49.584 * [backup-simplify]: Simplify 1/2 into 1/2 49.584 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 49.584 * [taylor]: Taking taylor expansion of phi1 in phi1 49.584 * [backup-simplify]: Simplify 0 into 0 49.584 * [backup-simplify]: Simplify 1 into 1 49.584 * [taylor]: Taking taylor expansion of phi2 in phi1 49.584 * [backup-simplify]: Simplify phi2 into phi2 49.584 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 49.584 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 49.584 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 49.584 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 49.584 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 49.584 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 49.584 * [taylor]: Taking taylor expansion of 1/2 in phi1 49.584 * [backup-simplify]: Simplify 1/2 into 1/2 49.584 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 49.584 * [taylor]: Taking taylor expansion of phi1 in phi1 49.584 * [backup-simplify]: Simplify 0 into 0 49.585 * [backup-simplify]: Simplify 1 into 1 49.585 * [taylor]: Taking taylor expansion of phi2 in phi1 49.585 * [backup-simplify]: Simplify phi2 into phi2 49.585 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 49.585 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 49.585 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 49.585 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 49.585 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 49.585 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 49.586 * [backup-simplify]: Simplify (- 0) into 0 49.586 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 49.586 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 49.586 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 49.586 * [taylor]: Taking taylor expansion of 1/2 in phi2 49.586 * [backup-simplify]: Simplify 1/2 into 1/2 49.586 * [taylor]: Taking taylor expansion of phi2 in phi2 49.586 * [backup-simplify]: Simplify 0 into 0 49.586 * [backup-simplify]: Simplify 1 into 1 49.586 * [backup-simplify]: Simplify (* 1/2 0) into 0 49.587 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 49.587 * [backup-simplify]: Simplify 1 into 1 49.588 * [backup-simplify]: Simplify (+ 0) into 0 49.588 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 49.589 * [backup-simplify]: Simplify (+ 1 0) into 1 49.589 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 49.590 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 49.590 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 49.591 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 49.591 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 49.591 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (* 1/2 phi2)))) in phi2 49.591 * [taylor]: Taking taylor expansion of (* 1/2 (sin (* 1/2 phi2))) in phi2 49.591 * [taylor]: Taking taylor expansion of 1/2 in phi2 49.591 * [backup-simplify]: Simplify 1/2 into 1/2 49.591 * [taylor]: Taking taylor expansion of (sin (* 1/2 phi2)) in phi2 49.591 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 49.591 * [taylor]: Taking taylor expansion of 1/2 in phi2 49.591 * [backup-simplify]: Simplify 1/2 into 1/2 49.591 * [taylor]: Taking taylor expansion of phi2 in phi2 49.591 * [backup-simplify]: Simplify 0 into 0 49.591 * [backup-simplify]: Simplify 1 into 1 49.591 * [backup-simplify]: Simplify (* 1/2 0) into 0 49.592 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 49.593 * [backup-simplify]: Simplify (* 1/2 0) into 0 49.593 * [backup-simplify]: Simplify (- 0) into 0 49.593 * [backup-simplify]: Simplify 0 into 0 49.593 * [backup-simplify]: Simplify (+ 0) into 0 49.593 * [backup-simplify]: Simplify 0 into 0 49.594 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 49.595 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) -1/8) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (cos (* 1/2 phi2)))) 49.595 * [backup-simplify]: Simplify (+ 0 0) into 0 49.596 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 phi2))) into 0 49.597 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 49.598 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 0) (+ (* 0 1/2) (* 0 0))) into 0 49.601 * [backup-simplify]: Simplify (- 0) into 0 49.601 * [backup-simplify]: Simplify (+ (- (* 1/8 (cos (* 1/2 phi2)))) 0) into (- (* 1/8 (cos (* 1/2 phi2)))) 49.601 * [taylor]: Taking taylor expansion of (- (* 1/8 (cos (* 1/2 phi2)))) in phi2 49.601 * [taylor]: Taking taylor expansion of (* 1/8 (cos (* 1/2 phi2))) in phi2 49.601 * [taylor]: Taking taylor expansion of 1/8 in phi2 49.601 * [backup-simplify]: Simplify 1/8 into 1/8 49.601 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 49.601 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 49.601 * [taylor]: Taking taylor expansion of 1/2 in phi2 49.601 * [backup-simplify]: Simplify 1/2 into 1/2 49.601 * [taylor]: Taking taylor expansion of phi2 in phi2 49.601 * [backup-simplify]: Simplify 0 into 0 49.601 * [backup-simplify]: Simplify 1 into 1 49.602 * [backup-simplify]: Simplify (* 1/2 0) into 0 49.603 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 49.604 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 49.604 * [backup-simplify]: Simplify (- 1/8) into -1/8 49.604 * [backup-simplify]: Simplify -1/8 into -1/8 49.605 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 49.607 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 0 0)) into 1/4 49.607 * [backup-simplify]: Simplify (- 1/4) into -1/4 49.607 * [backup-simplify]: Simplify -1/4 into -1/4 49.607 * [backup-simplify]: Simplify (+ (* -1/4 (* phi2 phi1)) (+ (* -1/8 (pow (* 1 phi1) 2)) 1)) into (- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi1 2)))) 49.608 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.608 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in (phi1 phi2) around 0 49.608 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 49.608 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 49.608 * [taylor]: Taking taylor expansion of 1/2 in phi2 49.608 * [backup-simplify]: Simplify 1/2 into 1/2 49.608 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 49.608 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 49.608 * [taylor]: Taking taylor expansion of phi1 in phi2 49.608 * [backup-simplify]: Simplify phi1 into phi1 49.608 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.608 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 49.608 * [taylor]: Taking taylor expansion of phi2 in phi2 49.608 * [backup-simplify]: Simplify 0 into 0 49.608 * [backup-simplify]: Simplify 1 into 1 49.609 * [backup-simplify]: Simplify (/ 1 1) into 1 49.609 * [backup-simplify]: Simplify (+ 0 1) into 1 49.610 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 49.610 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.610 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 49.610 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 49.610 * [taylor]: Taking taylor expansion of 1/2 in phi1 49.610 * [backup-simplify]: Simplify 1/2 into 1/2 49.610 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 49.610 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 49.610 * [taylor]: Taking taylor expansion of phi1 in phi1 49.610 * [backup-simplify]: Simplify 0 into 0 49.610 * [backup-simplify]: Simplify 1 into 1 49.610 * [backup-simplify]: Simplify (/ 1 1) into 1 49.610 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 49.611 * [taylor]: Taking taylor expansion of phi2 in phi1 49.611 * [backup-simplify]: Simplify phi2 into phi2 49.611 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.611 * [backup-simplify]: Simplify (+ 1 0) into 1 49.611 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 49.612 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.612 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 49.612 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 49.612 * [taylor]: Taking taylor expansion of 1/2 in phi1 49.612 * [backup-simplify]: Simplify 1/2 into 1/2 49.612 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 49.612 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 49.612 * [taylor]: Taking taylor expansion of phi1 in phi1 49.612 * [backup-simplify]: Simplify 0 into 0 49.612 * [backup-simplify]: Simplify 1 into 1 49.612 * [backup-simplify]: Simplify (/ 1 1) into 1 49.612 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 49.612 * [taylor]: Taking taylor expansion of phi2 in phi1 49.612 * [backup-simplify]: Simplify phi2 into phi2 49.612 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.613 * [backup-simplify]: Simplify (+ 1 0) into 1 49.613 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 49.613 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.613 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 49.613 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 49.613 * [taylor]: Taking taylor expansion of 1/2 in phi2 49.613 * [backup-simplify]: Simplify 1/2 into 1/2 49.614 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 49.614 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 49.614 * [taylor]: Taking taylor expansion of phi1 in phi2 49.614 * [backup-simplify]: Simplify phi1 into phi1 49.614 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.614 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 49.614 * [taylor]: Taking taylor expansion of phi2 in phi2 49.614 * [backup-simplify]: Simplify 0 into 0 49.614 * [backup-simplify]: Simplify 1 into 1 49.614 * [backup-simplify]: Simplify (/ 1 1) into 1 49.615 * [backup-simplify]: Simplify (+ 0 1) into 1 49.615 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 49.615 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.615 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.615 * [taylor]: Taking taylor expansion of 0 in phi2 49.615 * [backup-simplify]: Simplify 0 into 0 49.615 * [backup-simplify]: Simplify 0 into 0 49.615 * [backup-simplify]: Simplify 0 into 0 49.615 * [taylor]: Taking taylor expansion of 0 in phi2 49.615 * [backup-simplify]: Simplify 0 into 0 49.615 * [backup-simplify]: Simplify 0 into 0 49.615 * [backup-simplify]: Simplify 0 into 0 49.616 * [backup-simplify]: Simplify 0 into 0 49.616 * [taylor]: Taking taylor expansion of 0 in phi2 49.616 * [backup-simplify]: Simplify 0 into 0 49.616 * [backup-simplify]: Simplify 0 into 0 49.616 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) into (cos (* 1/2 (+ phi1 phi2))) 49.616 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.616 * [approximate]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in (phi1 phi2) around 0 49.616 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 49.616 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 49.616 * [taylor]: Taking taylor expansion of -1/2 in phi2 49.616 * [backup-simplify]: Simplify -1/2 into -1/2 49.616 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 49.616 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 49.616 * [taylor]: Taking taylor expansion of phi1 in phi2 49.616 * [backup-simplify]: Simplify phi1 into phi1 49.616 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.616 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 49.616 * [taylor]: Taking taylor expansion of phi2 in phi2 49.616 * [backup-simplify]: Simplify 0 into 0 49.616 * [backup-simplify]: Simplify 1 into 1 49.617 * [backup-simplify]: Simplify (/ 1 1) into 1 49.617 * [backup-simplify]: Simplify (+ 0 1) into 1 49.618 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 49.618 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.618 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 49.618 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 49.618 * [taylor]: Taking taylor expansion of -1/2 in phi1 49.618 * [backup-simplify]: Simplify -1/2 into -1/2 49.618 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 49.618 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 49.618 * [taylor]: Taking taylor expansion of phi1 in phi1 49.618 * [backup-simplify]: Simplify 0 into 0 49.618 * [backup-simplify]: Simplify 1 into 1 49.618 * [backup-simplify]: Simplify (/ 1 1) into 1 49.618 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 49.618 * [taylor]: Taking taylor expansion of phi2 in phi1 49.618 * [backup-simplify]: Simplify phi2 into phi2 49.619 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.619 * [backup-simplify]: Simplify (+ 1 0) into 1 49.619 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 49.620 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.620 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 49.620 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 49.620 * [taylor]: Taking taylor expansion of -1/2 in phi1 49.620 * [backup-simplify]: Simplify -1/2 into -1/2 49.620 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 49.620 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 49.620 * [taylor]: Taking taylor expansion of phi1 in phi1 49.620 * [backup-simplify]: Simplify 0 into 0 49.620 * [backup-simplify]: Simplify 1 into 1 49.620 * [backup-simplify]: Simplify (/ 1 1) into 1 49.620 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 49.620 * [taylor]: Taking taylor expansion of phi2 in phi1 49.620 * [backup-simplify]: Simplify phi2 into phi2 49.620 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.621 * [backup-simplify]: Simplify (+ 1 0) into 1 49.621 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 49.621 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.621 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 49.622 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 49.622 * [taylor]: Taking taylor expansion of -1/2 in phi2 49.622 * [backup-simplify]: Simplify -1/2 into -1/2 49.622 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 49.622 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 49.622 * [taylor]: Taking taylor expansion of phi1 in phi2 49.622 * [backup-simplify]: Simplify phi1 into phi1 49.622 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.622 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 49.622 * [taylor]: Taking taylor expansion of phi2 in phi2 49.622 * [backup-simplify]: Simplify 0 into 0 49.622 * [backup-simplify]: Simplify 1 into 1 49.622 * [backup-simplify]: Simplify (/ 1 1) into 1 49.623 * [backup-simplify]: Simplify (+ 0 1) into 1 49.623 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 49.623 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.623 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.623 * [taylor]: Taking taylor expansion of 0 in phi2 49.623 * [backup-simplify]: Simplify 0 into 0 49.624 * [backup-simplify]: Simplify 0 into 0 49.624 * [backup-simplify]: Simplify 0 into 0 49.624 * [taylor]: Taking taylor expansion of 0 in phi2 49.624 * [backup-simplify]: Simplify 0 into 0 49.624 * [backup-simplify]: Simplify 0 into 0 49.624 * [backup-simplify]: Simplify 0 into 0 49.624 * [backup-simplify]: Simplify 0 into 0 49.624 * [taylor]: Taking taylor expansion of 0 in phi2 49.624 * [backup-simplify]: Simplify 0 into 0 49.624 * [backup-simplify]: Simplify 0 into 0 49.624 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) into (cos (* 1/2 (+ phi1 phi2))) 49.624 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2 2 1 2 1) 49.624 * [backup-simplify]: Simplify (cos (/ (+ phi1 phi2) 2)) into (cos (* 1/2 (+ phi1 phi2))) 49.624 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in (phi1 phi2) around 0 49.624 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 49.624 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 49.624 * [taylor]: Taking taylor expansion of 1/2 in phi2 49.624 * [backup-simplify]: Simplify 1/2 into 1/2 49.624 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 49.624 * [taylor]: Taking taylor expansion of phi1 in phi2 49.624 * [backup-simplify]: Simplify phi1 into phi1 49.624 * [taylor]: Taking taylor expansion of phi2 in phi2 49.624 * [backup-simplify]: Simplify 0 into 0 49.624 * [backup-simplify]: Simplify 1 into 1 49.625 * [backup-simplify]: Simplify (+ phi1 0) into phi1 49.625 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 49.625 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 49.625 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 49.625 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 49.625 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 49.625 * [taylor]: Taking taylor expansion of 1/2 in phi1 49.625 * [backup-simplify]: Simplify 1/2 into 1/2 49.625 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 49.625 * [taylor]: Taking taylor expansion of phi1 in phi1 49.625 * [backup-simplify]: Simplify 0 into 0 49.625 * [backup-simplify]: Simplify 1 into 1 49.625 * [taylor]: Taking taylor expansion of phi2 in phi1 49.625 * [backup-simplify]: Simplify phi2 into phi2 49.625 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 49.625 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 49.625 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 49.625 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 49.625 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 49.625 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 49.625 * [taylor]: Taking taylor expansion of 1/2 in phi1 49.625 * [backup-simplify]: Simplify 1/2 into 1/2 49.625 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 49.625 * [taylor]: Taking taylor expansion of phi1 in phi1 49.625 * [backup-simplify]: Simplify 0 into 0 49.625 * [backup-simplify]: Simplify 1 into 1 49.625 * [taylor]: Taking taylor expansion of phi2 in phi1 49.625 * [backup-simplify]: Simplify phi2 into phi2 49.625 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 49.626 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 49.626 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 49.626 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 49.626 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 49.626 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 49.626 * [backup-simplify]: Simplify (- 0) into 0 49.626 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 49.626 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 49.626 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 49.626 * [taylor]: Taking taylor expansion of 1/2 in phi2 49.626 * [backup-simplify]: Simplify 1/2 into 1/2 49.627 * [taylor]: Taking taylor expansion of phi2 in phi2 49.627 * [backup-simplify]: Simplify 0 into 0 49.627 * [backup-simplify]: Simplify 1 into 1 49.627 * [backup-simplify]: Simplify (* 1/2 0) into 0 49.628 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 49.628 * [backup-simplify]: Simplify 1 into 1 49.628 * [backup-simplify]: Simplify (+ 0) into 0 49.629 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 49.629 * [backup-simplify]: Simplify (+ 1 0) into 1 49.630 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 49.631 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 49.631 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 49.631 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 49.631 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 49.631 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (* 1/2 phi2)))) in phi2 49.631 * [taylor]: Taking taylor expansion of (* 1/2 (sin (* 1/2 phi2))) in phi2 49.631 * [taylor]: Taking taylor expansion of 1/2 in phi2 49.631 * [backup-simplify]: Simplify 1/2 into 1/2 49.631 * [taylor]: Taking taylor expansion of (sin (* 1/2 phi2)) in phi2 49.631 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 49.631 * [taylor]: Taking taylor expansion of 1/2 in phi2 49.631 * [backup-simplify]: Simplify 1/2 into 1/2 49.631 * [taylor]: Taking taylor expansion of phi2 in phi2 49.632 * [backup-simplify]: Simplify 0 into 0 49.632 * [backup-simplify]: Simplify 1 into 1 49.632 * [backup-simplify]: Simplify (* 1/2 0) into 0 49.633 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 49.633 * [backup-simplify]: Simplify (* 1/2 0) into 0 49.633 * [backup-simplify]: Simplify (- 0) into 0 49.634 * [backup-simplify]: Simplify 0 into 0 49.634 * [backup-simplify]: Simplify (+ 0) into 0 49.634 * [backup-simplify]: Simplify 0 into 0 49.635 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 49.636 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) -1/8) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (cos (* 1/2 phi2)))) 49.636 * [backup-simplify]: Simplify (+ 0 0) into 0 49.637 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 phi2))) into 0 49.638 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 49.638 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 0) (+ (* 0 1/2) (* 0 0))) into 0 49.639 * [backup-simplify]: Simplify (- 0) into 0 49.639 * [backup-simplify]: Simplify (+ (- (* 1/8 (cos (* 1/2 phi2)))) 0) into (- (* 1/8 (cos (* 1/2 phi2)))) 49.639 * [taylor]: Taking taylor expansion of (- (* 1/8 (cos (* 1/2 phi2)))) in phi2 49.639 * [taylor]: Taking taylor expansion of (* 1/8 (cos (* 1/2 phi2))) in phi2 49.639 * [taylor]: Taking taylor expansion of 1/8 in phi2 49.639 * [backup-simplify]: Simplify 1/8 into 1/8 49.639 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 49.639 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 49.639 * [taylor]: Taking taylor expansion of 1/2 in phi2 49.639 * [backup-simplify]: Simplify 1/2 into 1/2 49.639 * [taylor]: Taking taylor expansion of phi2 in phi2 49.639 * [backup-simplify]: Simplify 0 into 0 49.639 * [backup-simplify]: Simplify 1 into 1 49.640 * [backup-simplify]: Simplify (* 1/2 0) into 0 49.640 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 49.641 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 49.641 * [backup-simplify]: Simplify (- 1/8) into -1/8 49.641 * [backup-simplify]: Simplify -1/8 into -1/8 49.642 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 49.642 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 0 0)) into 1/4 49.643 * [backup-simplify]: Simplify (- 1/4) into -1/4 49.643 * [backup-simplify]: Simplify -1/4 into -1/4 49.643 * [backup-simplify]: Simplify (+ (* -1/4 (* phi2 phi1)) (+ (* -1/8 (pow (* 1 phi1) 2)) 1)) into (- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi1 2)))) 49.643 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.643 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in (phi1 phi2) around 0 49.643 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 49.643 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 49.643 * [taylor]: Taking taylor expansion of 1/2 in phi2 49.644 * [backup-simplify]: Simplify 1/2 into 1/2 49.644 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 49.644 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 49.644 * [taylor]: Taking taylor expansion of phi1 in phi2 49.644 * [backup-simplify]: Simplify phi1 into phi1 49.644 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.644 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 49.644 * [taylor]: Taking taylor expansion of phi2 in phi2 49.644 * [backup-simplify]: Simplify 0 into 0 49.644 * [backup-simplify]: Simplify 1 into 1 49.644 * [backup-simplify]: Simplify (/ 1 1) into 1 49.645 * [backup-simplify]: Simplify (+ 0 1) into 1 49.645 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 49.645 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.645 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 49.645 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 49.645 * [taylor]: Taking taylor expansion of 1/2 in phi1 49.645 * [backup-simplify]: Simplify 1/2 into 1/2 49.645 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 49.645 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 49.645 * [taylor]: Taking taylor expansion of phi1 in phi1 49.645 * [backup-simplify]: Simplify 0 into 0 49.645 * [backup-simplify]: Simplify 1 into 1 49.646 * [backup-simplify]: Simplify (/ 1 1) into 1 49.646 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 49.646 * [taylor]: Taking taylor expansion of phi2 in phi1 49.646 * [backup-simplify]: Simplify phi2 into phi2 49.646 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.646 * [backup-simplify]: Simplify (+ 1 0) into 1 49.647 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 49.647 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.647 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 49.647 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 49.647 * [taylor]: Taking taylor expansion of 1/2 in phi1 49.647 * [backup-simplify]: Simplify 1/2 into 1/2 49.647 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 49.647 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 49.647 * [taylor]: Taking taylor expansion of phi1 in phi1 49.647 * [backup-simplify]: Simplify 0 into 0 49.647 * [backup-simplify]: Simplify 1 into 1 49.648 * [backup-simplify]: Simplify (/ 1 1) into 1 49.648 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 49.648 * [taylor]: Taking taylor expansion of phi2 in phi1 49.648 * [backup-simplify]: Simplify phi2 into phi2 49.648 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.648 * [backup-simplify]: Simplify (+ 1 0) into 1 49.649 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 49.649 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.649 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 49.649 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 49.649 * [taylor]: Taking taylor expansion of 1/2 in phi2 49.649 * [backup-simplify]: Simplify 1/2 into 1/2 49.649 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 49.649 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 49.649 * [taylor]: Taking taylor expansion of phi1 in phi2 49.649 * [backup-simplify]: Simplify phi1 into phi1 49.649 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.649 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 49.649 * [taylor]: Taking taylor expansion of phi2 in phi2 49.649 * [backup-simplify]: Simplify 0 into 0 49.649 * [backup-simplify]: Simplify 1 into 1 49.650 * [backup-simplify]: Simplify (/ 1 1) into 1 49.650 * [backup-simplify]: Simplify (+ 0 1) into 1 49.651 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 49.651 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.651 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.651 * [taylor]: Taking taylor expansion of 0 in phi2 49.651 * [backup-simplify]: Simplify 0 into 0 49.651 * [backup-simplify]: Simplify 0 into 0 49.651 * [backup-simplify]: Simplify 0 into 0 49.651 * [taylor]: Taking taylor expansion of 0 in phi2 49.651 * [backup-simplify]: Simplify 0 into 0 49.651 * [backup-simplify]: Simplify 0 into 0 49.651 * [backup-simplify]: Simplify 0 into 0 49.651 * [backup-simplify]: Simplify 0 into 0 49.651 * [taylor]: Taking taylor expansion of 0 in phi2 49.652 * [backup-simplify]: Simplify 0 into 0 49.652 * [backup-simplify]: Simplify 0 into 0 49.652 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) into (cos (* 1/2 (+ phi1 phi2))) 49.652 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.652 * [approximate]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in (phi1 phi2) around 0 49.652 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 49.652 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 49.652 * [taylor]: Taking taylor expansion of -1/2 in phi2 49.652 * [backup-simplify]: Simplify -1/2 into -1/2 49.652 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 49.652 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 49.652 * [taylor]: Taking taylor expansion of phi1 in phi2 49.652 * [backup-simplify]: Simplify phi1 into phi1 49.652 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.652 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 49.652 * [taylor]: Taking taylor expansion of phi2 in phi2 49.652 * [backup-simplify]: Simplify 0 into 0 49.652 * [backup-simplify]: Simplify 1 into 1 49.653 * [backup-simplify]: Simplify (/ 1 1) into 1 49.653 * [backup-simplify]: Simplify (+ 0 1) into 1 49.654 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 49.654 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.654 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 49.654 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 49.654 * [taylor]: Taking taylor expansion of -1/2 in phi1 49.654 * [backup-simplify]: Simplify -1/2 into -1/2 49.654 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 49.654 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 49.654 * [taylor]: Taking taylor expansion of phi1 in phi1 49.654 * [backup-simplify]: Simplify 0 into 0 49.654 * [backup-simplify]: Simplify 1 into 1 49.654 * [backup-simplify]: Simplify (/ 1 1) into 1 49.655 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 49.655 * [taylor]: Taking taylor expansion of phi2 in phi1 49.655 * [backup-simplify]: Simplify phi2 into phi2 49.655 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.655 * [backup-simplify]: Simplify (+ 1 0) into 1 49.656 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 49.656 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.656 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 49.656 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 49.656 * [taylor]: Taking taylor expansion of -1/2 in phi1 49.656 * [backup-simplify]: Simplify -1/2 into -1/2 49.656 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 49.656 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 49.656 * [taylor]: Taking taylor expansion of phi1 in phi1 49.656 * [backup-simplify]: Simplify 0 into 0 49.656 * [backup-simplify]: Simplify 1 into 1 49.656 * [backup-simplify]: Simplify (/ 1 1) into 1 49.656 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 49.656 * [taylor]: Taking taylor expansion of phi2 in phi1 49.656 * [backup-simplify]: Simplify phi2 into phi2 49.657 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.657 * [backup-simplify]: Simplify (+ 1 0) into 1 49.658 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 49.658 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.658 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 49.658 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 49.658 * [taylor]: Taking taylor expansion of -1/2 in phi2 49.658 * [backup-simplify]: Simplify -1/2 into -1/2 49.658 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 49.658 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 49.658 * [taylor]: Taking taylor expansion of phi1 in phi2 49.658 * [backup-simplify]: Simplify phi1 into phi1 49.658 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.658 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 49.658 * [taylor]: Taking taylor expansion of phi2 in phi2 49.658 * [backup-simplify]: Simplify 0 into 0 49.658 * [backup-simplify]: Simplify 1 into 1 49.659 * [backup-simplify]: Simplify (/ 1 1) into 1 49.659 * [backup-simplify]: Simplify (+ 0 1) into 1 49.660 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 49.660 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.660 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.660 * [taylor]: Taking taylor expansion of 0 in phi2 49.660 * [backup-simplify]: Simplify 0 into 0 49.660 * [backup-simplify]: Simplify 0 into 0 49.660 * [backup-simplify]: Simplify 0 into 0 49.660 * [taylor]: Taking taylor expansion of 0 in phi2 49.660 * [backup-simplify]: Simplify 0 into 0 49.660 * [backup-simplify]: Simplify 0 into 0 49.660 * [backup-simplify]: Simplify 0 into 0 49.660 * [backup-simplify]: Simplify 0 into 0 49.660 * [taylor]: Taking taylor expansion of 0 in phi2 49.660 * [backup-simplify]: Simplify 0 into 0 49.660 * [backup-simplify]: Simplify 0 into 0 49.661 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) into (cos (* 1/2 (+ phi1 phi2))) 49.661 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2 2 1 1 1) 49.661 * [backup-simplify]: Simplify (cos (/ (+ phi1 phi2) 2)) into (cos (* 1/2 (+ phi1 phi2))) 49.661 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in (phi1 phi2) around 0 49.661 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 49.661 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 49.661 * [taylor]: Taking taylor expansion of 1/2 in phi2 49.661 * [backup-simplify]: Simplify 1/2 into 1/2 49.661 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 49.661 * [taylor]: Taking taylor expansion of phi1 in phi2 49.661 * [backup-simplify]: Simplify phi1 into phi1 49.661 * [taylor]: Taking taylor expansion of phi2 in phi2 49.661 * [backup-simplify]: Simplify 0 into 0 49.661 * [backup-simplify]: Simplify 1 into 1 49.661 * [backup-simplify]: Simplify (+ phi1 0) into phi1 49.661 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 49.661 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 49.661 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 49.661 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 49.661 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 49.661 * [taylor]: Taking taylor expansion of 1/2 in phi1 49.661 * [backup-simplify]: Simplify 1/2 into 1/2 49.662 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 49.662 * [taylor]: Taking taylor expansion of phi1 in phi1 49.662 * [backup-simplify]: Simplify 0 into 0 49.662 * [backup-simplify]: Simplify 1 into 1 49.662 * [taylor]: Taking taylor expansion of phi2 in phi1 49.662 * [backup-simplify]: Simplify phi2 into phi2 49.662 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 49.662 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 49.662 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 49.662 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 49.662 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 49.662 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 49.662 * [taylor]: Taking taylor expansion of 1/2 in phi1 49.662 * [backup-simplify]: Simplify 1/2 into 1/2 49.662 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 49.662 * [taylor]: Taking taylor expansion of phi1 in phi1 49.662 * [backup-simplify]: Simplify 0 into 0 49.662 * [backup-simplify]: Simplify 1 into 1 49.662 * [taylor]: Taking taylor expansion of phi2 in phi1 49.662 * [backup-simplify]: Simplify phi2 into phi2 49.662 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 49.662 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 49.662 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 49.662 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 49.662 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 49.663 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 49.663 * [backup-simplify]: Simplify (- 0) into 0 49.663 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 49.663 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 49.663 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 49.663 * [taylor]: Taking taylor expansion of 1/2 in phi2 49.663 * [backup-simplify]: Simplify 1/2 into 1/2 49.663 * [taylor]: Taking taylor expansion of phi2 in phi2 49.663 * [backup-simplify]: Simplify 0 into 0 49.663 * [backup-simplify]: Simplify 1 into 1 49.664 * [backup-simplify]: Simplify (* 1/2 0) into 0 49.665 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 49.665 * [backup-simplify]: Simplify 1 into 1 49.665 * [backup-simplify]: Simplify (+ 0) into 0 49.666 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 49.666 * [backup-simplify]: Simplify (+ 1 0) into 1 49.667 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 49.668 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 49.668 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 49.669 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 49.669 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 49.669 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (* 1/2 phi2)))) in phi2 49.669 * [taylor]: Taking taylor expansion of (* 1/2 (sin (* 1/2 phi2))) in phi2 49.669 * [taylor]: Taking taylor expansion of 1/2 in phi2 49.669 * [backup-simplify]: Simplify 1/2 into 1/2 49.669 * [taylor]: Taking taylor expansion of (sin (* 1/2 phi2)) in phi2 49.669 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 49.669 * [taylor]: Taking taylor expansion of 1/2 in phi2 49.669 * [backup-simplify]: Simplify 1/2 into 1/2 49.669 * [taylor]: Taking taylor expansion of phi2 in phi2 49.669 * [backup-simplify]: Simplify 0 into 0 49.669 * [backup-simplify]: Simplify 1 into 1 49.669 * [backup-simplify]: Simplify (* 1/2 0) into 0 49.670 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 49.671 * [backup-simplify]: Simplify (* 1/2 0) into 0 49.671 * [backup-simplify]: Simplify (- 0) into 0 49.671 * [backup-simplify]: Simplify 0 into 0 49.672 * [backup-simplify]: Simplify (+ 0) into 0 49.672 * [backup-simplify]: Simplify 0 into 0 49.673 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 49.673 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) -1/8) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (cos (* 1/2 phi2)))) 49.674 * [backup-simplify]: Simplify (+ 0 0) into 0 49.675 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 phi2))) into 0 49.675 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 49.676 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 0) (+ (* 0 1/2) (* 0 0))) into 0 49.676 * [backup-simplify]: Simplify (- 0) into 0 49.677 * [backup-simplify]: Simplify (+ (- (* 1/8 (cos (* 1/2 phi2)))) 0) into (- (* 1/8 (cos (* 1/2 phi2)))) 49.677 * [taylor]: Taking taylor expansion of (- (* 1/8 (cos (* 1/2 phi2)))) in phi2 49.677 * [taylor]: Taking taylor expansion of (* 1/8 (cos (* 1/2 phi2))) in phi2 49.677 * [taylor]: Taking taylor expansion of 1/8 in phi2 49.677 * [backup-simplify]: Simplify 1/8 into 1/8 49.677 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 49.677 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 49.677 * [taylor]: Taking taylor expansion of 1/2 in phi2 49.677 * [backup-simplify]: Simplify 1/2 into 1/2 49.677 * [taylor]: Taking taylor expansion of phi2 in phi2 49.677 * [backup-simplify]: Simplify 0 into 0 49.677 * [backup-simplify]: Simplify 1 into 1 49.677 * [backup-simplify]: Simplify (* 1/2 0) into 0 49.678 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 49.678 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 49.679 * [backup-simplify]: Simplify (- 1/8) into -1/8 49.679 * [backup-simplify]: Simplify -1/8 into -1/8 49.680 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 49.680 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 0 0)) into 1/4 49.680 * [backup-simplify]: Simplify (- 1/4) into -1/4 49.681 * [backup-simplify]: Simplify -1/4 into -1/4 49.681 * [backup-simplify]: Simplify (+ (* -1/4 (* phi2 phi1)) (+ (* -1/8 (pow (* 1 phi1) 2)) 1)) into (- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi1 2)))) 49.681 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.681 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in (phi1 phi2) around 0 49.681 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 49.681 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 49.681 * [taylor]: Taking taylor expansion of 1/2 in phi2 49.681 * [backup-simplify]: Simplify 1/2 into 1/2 49.681 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 49.681 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 49.681 * [taylor]: Taking taylor expansion of phi1 in phi2 49.681 * [backup-simplify]: Simplify phi1 into phi1 49.681 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.681 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 49.681 * [taylor]: Taking taylor expansion of phi2 in phi2 49.681 * [backup-simplify]: Simplify 0 into 0 49.681 * [backup-simplify]: Simplify 1 into 1 49.682 * [backup-simplify]: Simplify (/ 1 1) into 1 49.682 * [backup-simplify]: Simplify (+ 0 1) into 1 49.683 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 49.683 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.683 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 49.683 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 49.683 * [taylor]: Taking taylor expansion of 1/2 in phi1 49.683 * [backup-simplify]: Simplify 1/2 into 1/2 49.683 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 49.683 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 49.683 * [taylor]: Taking taylor expansion of phi1 in phi1 49.683 * [backup-simplify]: Simplify 0 into 0 49.683 * [backup-simplify]: Simplify 1 into 1 49.683 * [backup-simplify]: Simplify (/ 1 1) into 1 49.683 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 49.683 * [taylor]: Taking taylor expansion of phi2 in phi1 49.683 * [backup-simplify]: Simplify phi2 into phi2 49.684 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.684 * [backup-simplify]: Simplify (+ 1 0) into 1 49.684 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 49.685 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.685 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 49.685 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 49.685 * [taylor]: Taking taylor expansion of 1/2 in phi1 49.685 * [backup-simplify]: Simplify 1/2 into 1/2 49.685 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 49.685 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 49.685 * [taylor]: Taking taylor expansion of phi1 in phi1 49.685 * [backup-simplify]: Simplify 0 into 0 49.685 * [backup-simplify]: Simplify 1 into 1 49.685 * [backup-simplify]: Simplify (/ 1 1) into 1 49.685 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 49.685 * [taylor]: Taking taylor expansion of phi2 in phi1 49.685 * [backup-simplify]: Simplify phi2 into phi2 49.685 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.686 * [backup-simplify]: Simplify (+ 1 0) into 1 49.686 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 49.687 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.687 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 49.687 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 49.687 * [taylor]: Taking taylor expansion of 1/2 in phi2 49.687 * [backup-simplify]: Simplify 1/2 into 1/2 49.687 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 49.687 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 49.687 * [taylor]: Taking taylor expansion of phi1 in phi2 49.687 * [backup-simplify]: Simplify phi1 into phi1 49.687 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.687 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 49.687 * [taylor]: Taking taylor expansion of phi2 in phi2 49.687 * [backup-simplify]: Simplify 0 into 0 49.687 * [backup-simplify]: Simplify 1 into 1 49.687 * [backup-simplify]: Simplify (/ 1 1) into 1 49.688 * [backup-simplify]: Simplify (+ 0 1) into 1 49.688 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 49.688 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.689 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.689 * [taylor]: Taking taylor expansion of 0 in phi2 49.689 * [backup-simplify]: Simplify 0 into 0 49.689 * [backup-simplify]: Simplify 0 into 0 49.689 * [backup-simplify]: Simplify 0 into 0 49.689 * [taylor]: Taking taylor expansion of 0 in phi2 49.689 * [backup-simplify]: Simplify 0 into 0 49.689 * [backup-simplify]: Simplify 0 into 0 49.689 * [backup-simplify]: Simplify 0 into 0 49.689 * [backup-simplify]: Simplify 0 into 0 49.689 * [taylor]: Taking taylor expansion of 0 in phi2 49.689 * [backup-simplify]: Simplify 0 into 0 49.689 * [backup-simplify]: Simplify 0 into 0 49.689 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) into (cos (* 1/2 (+ phi1 phi2))) 49.689 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.689 * [approximate]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in (phi1 phi2) around 0 49.689 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 49.689 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 49.690 * [taylor]: Taking taylor expansion of -1/2 in phi2 49.690 * [backup-simplify]: Simplify -1/2 into -1/2 49.690 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 49.690 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 49.690 * [taylor]: Taking taylor expansion of phi1 in phi2 49.690 * [backup-simplify]: Simplify phi1 into phi1 49.690 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.690 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 49.690 * [taylor]: Taking taylor expansion of phi2 in phi2 49.690 * [backup-simplify]: Simplify 0 into 0 49.690 * [backup-simplify]: Simplify 1 into 1 49.691 * [backup-simplify]: Simplify (/ 1 1) into 1 49.691 * [backup-simplify]: Simplify (+ 0 1) into 1 49.691 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 49.692 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.692 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 49.692 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 49.692 * [taylor]: Taking taylor expansion of -1/2 in phi1 49.692 * [backup-simplify]: Simplify -1/2 into -1/2 49.692 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 49.692 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 49.692 * [taylor]: Taking taylor expansion of phi1 in phi1 49.692 * [backup-simplify]: Simplify 0 into 0 49.692 * [backup-simplify]: Simplify 1 into 1 49.692 * [backup-simplify]: Simplify (/ 1 1) into 1 49.692 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 49.692 * [taylor]: Taking taylor expansion of phi2 in phi1 49.692 * [backup-simplify]: Simplify phi2 into phi2 49.692 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.693 * [backup-simplify]: Simplify (+ 1 0) into 1 49.693 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 49.693 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.693 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 49.693 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 49.693 * [taylor]: Taking taylor expansion of -1/2 in phi1 49.693 * [backup-simplify]: Simplify -1/2 into -1/2 49.693 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 49.693 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 49.694 * [taylor]: Taking taylor expansion of phi1 in phi1 49.694 * [backup-simplify]: Simplify 0 into 0 49.694 * [backup-simplify]: Simplify 1 into 1 49.694 * [backup-simplify]: Simplify (/ 1 1) into 1 49.694 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 49.694 * [taylor]: Taking taylor expansion of phi2 in phi1 49.694 * [backup-simplify]: Simplify phi2 into phi2 49.694 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.695 * [backup-simplify]: Simplify (+ 1 0) into 1 49.695 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 49.696 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.696 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 49.696 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 49.696 * [taylor]: Taking taylor expansion of -1/2 in phi2 49.696 * [backup-simplify]: Simplify -1/2 into -1/2 49.696 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 49.696 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 49.696 * [taylor]: Taking taylor expansion of phi1 in phi2 49.696 * [backup-simplify]: Simplify phi1 into phi1 49.696 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.696 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 49.696 * [taylor]: Taking taylor expansion of phi2 in phi2 49.696 * [backup-simplify]: Simplify 0 into 0 49.696 * [backup-simplify]: Simplify 1 into 1 49.696 * [backup-simplify]: Simplify (/ 1 1) into 1 49.697 * [backup-simplify]: Simplify (+ 0 1) into 1 49.697 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 49.697 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.698 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.698 * [taylor]: Taking taylor expansion of 0 in phi2 49.698 * [backup-simplify]: Simplify 0 into 0 49.698 * [backup-simplify]: Simplify 0 into 0 49.698 * [backup-simplify]: Simplify 0 into 0 49.698 * [taylor]: Taking taylor expansion of 0 in phi2 49.698 * [backup-simplify]: Simplify 0 into 0 49.698 * [backup-simplify]: Simplify 0 into 0 49.698 * [backup-simplify]: Simplify 0 into 0 49.698 * [backup-simplify]: Simplify 0 into 0 49.698 * [taylor]: Taking taylor expansion of 0 in phi2 49.698 * [backup-simplify]: Simplify 0 into 0 49.698 * [backup-simplify]: Simplify 0 into 0 49.698 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) into (cos (* 1/2 (+ phi1 phi2))) 49.698 * * * [progress]: simplifying candidates 49.698 * * * * [progress]: [ 1 / 116 ] simplifiying candidate # 49.699 * * * * [progress]: [ 2 / 116 ] simplifiying candidate # 49.699 * * * * [progress]: [ 3 / 116 ] simplifiying candidate # 49.699 * * * * [progress]: [ 4 / 116 ] simplifiying candidate # 49.699 * * * * [progress]: [ 5 / 116 ] simplifiying candidate # 49.699 * * * * [progress]: [ 6 / 116 ] simplifiying candidate # 49.699 * * * * [progress]: [ 7 / 116 ] simplifiying candidate # 49.699 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) 49.700 * * [simplify]: iters left: 6 (21 enodes) 49.709 * * [simplify]: iters left: 5 (80 enodes) 49.734 * * [simplify]: iters left: 4 (151 enodes) 49.799 * * [simplify]: iters left: 3 (369 enodes) 49.994 * * [simplify]: Extracting #0: cost 1 inf + 0 49.995 * * [simplify]: Extracting #1: cost 4 inf + 0 49.995 * * [simplify]: Extracting #2: cost 7 inf + 0 49.995 * * [simplify]: Extracting #3: cost 23 inf + 0 49.995 * * [simplify]: Extracting #4: cost 141 inf + 0 49.996 * * [simplify]: Extracting #5: cost 304 inf + 45 49.997 * * [simplify]: Extracting #6: cost 304 inf + 955 50.000 * * [simplify]: Extracting #7: cost 250 inf + 10991 50.012 * * [simplify]: Extracting #8: cost 139 inf + 46340 50.047 * * [simplify]: Extracting #9: cost 19 inf + 92892 50.075 * * [simplify]: Extracting #10: cost 0 inf + 99878 50.097 * [simplify]: Simplified to (fabs (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) 50.097 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (fabs (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))))) 50.097 * * * * [progress]: [ 8 / 116 ] simplifiying candidate # 50.097 * [simplify]: Simplifying (sqrt (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))) 50.098 * * [simplify]: iters left: 6 (20 enodes) 50.103 * * [simplify]: iters left: 5 (76 enodes) 50.115 * * [simplify]: iters left: 4 (147 enodes) 50.148 * * [simplify]: iters left: 3 (371 enodes) 50.397 * * [simplify]: Extracting #0: cost 1 inf + 0 50.397 * * [simplify]: Extracting #1: cost 3 inf + 0 50.397 * * [simplify]: Extracting #2: cost 5 inf + 0 50.398 * * [simplify]: Extracting #3: cost 21 inf + 0 50.398 * * [simplify]: Extracting #4: cost 141 inf + 0 50.400 * * [simplify]: Extracting #5: cost 293 inf + 44 50.403 * * [simplify]: Extracting #6: cost 285 inf + 1768 50.409 * * [simplify]: Extracting #7: cost 232 inf + 12501 50.421 * * [simplify]: Extracting #8: cost 120 inf + 48725 50.440 * * [simplify]: Extracting #9: cost 14 inf + 91848 50.466 * * [simplify]: Extracting #10: cost 0 inf + 97478 50.490 * * [simplify]: Extracting #11: cost 0 inf + 97438 50.532 * [simplify]: Simplified to (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) 50.532 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))))) 50.532 * * * * [progress]: [ 9 / 116 ] simplifiying candidate # 50.533 * [simplify]: Simplifying (sqrt 1) 50.533 * * [simplify]: iters left: 1 (2 enodes) 50.536 * * [simplify]: Extracting #0: cost 1 inf + 0 50.536 * * [simplify]: Extracting #1: cost 0 inf + 1 50.536 * [simplify]: Simplified to 1 50.536 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* 1 (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))) 50.536 * * * * [progress]: [ 10 / 116 ] simplifiying candidate # 50.537 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 50.537 * * [simplify]: iters left: 6 (38 enodes) 50.559 * * [simplify]: iters left: 5 (185 enodes) 50.631 * * [simplify]: Extracting #0: cost 1 inf + 0 50.631 * * [simplify]: Extracting #1: cost 3 inf + 0 50.631 * * [simplify]: Extracting #2: cost 6 inf + 0 50.631 * * [simplify]: Extracting #3: cost 57 inf + 0 50.631 * * [simplify]: Extracting #4: cost 171 inf + 0 50.632 * * [simplify]: Extracting #5: cost 245 inf + 1 50.634 * * [simplify]: Extracting #6: cost 211 inf + 13775 50.641 * * [simplify]: Extracting #7: cost 98 inf + 52076 50.660 * * [simplify]: Extracting #8: cost 18 inf + 86585 50.680 * * [simplify]: Extracting #9: cost 0 inf + 88891 50.698 * * [simplify]: Extracting #10: cost 0 inf + 88811 50.720 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (cbrt (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) 50.720 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (cbrt (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 50.721 * * * * [progress]: [ 11 / 116 ] simplifiying candidate # 50.722 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 50.722 * * [simplify]: iters left: 6 (39 enodes) 50.742 * * [simplify]: iters left: 5 (192 enodes) 50.826 * * [simplify]: Extracting #0: cost 1 inf + 0 50.826 * * [simplify]: Extracting #1: cost 3 inf + 0 50.826 * * [simplify]: Extracting #2: cost 6 inf + 0 50.827 * * [simplify]: Extracting #3: cost 58 inf + 0 50.827 * * [simplify]: Extracting #4: cost 187 inf + 0 50.829 * * [simplify]: Extracting #5: cost 242 inf + 701 50.838 * * [simplify]: Extracting #6: cost 163 inf + 24902 50.856 * * [simplify]: Extracting #7: cost 80 inf + 62382 50.881 * * [simplify]: Extracting #8: cost 10 inf + 84680 50.897 * * [simplify]: Extracting #9: cost 1 inf + 86339 50.914 * * [simplify]: Extracting #10: cost 0 inf + 87684 50.938 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 50.938 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 50.939 * * * * [progress]: [ 12 / 116 ] simplifiying candidate # 50.939 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 50.940 * * [simplify]: iters left: 6 (39 enodes) 50.958 * * [simplify]: iters left: 5 (192 enodes) 51.024 * * [simplify]: Extracting #0: cost 1 inf + 0 51.024 * * [simplify]: Extracting #1: cost 3 inf + 0 51.024 * * [simplify]: Extracting #2: cost 6 inf + 0 51.024 * * [simplify]: Extracting #3: cost 60 inf + 0 51.025 * * [simplify]: Extracting #4: cost 185 inf + 0 51.025 * * [simplify]: Extracting #5: cost 240 inf + 658 51.029 * * [simplify]: Extracting #6: cost 164 inf + 25154 51.038 * * [simplify]: Extracting #7: cost 67 inf + 64099 51.052 * * [simplify]: Extracting #8: cost 12 inf + 82110 51.071 * * [simplify]: Extracting #9: cost 1 inf + 83811 51.088 * * [simplify]: Extracting #10: cost 0 inf + 85156 51.104 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) 51.104 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 51.104 * * * * [progress]: [ 13 / 116 ] simplifiying candidate # 51.105 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 51.105 * * [simplify]: iters left: 6 (33 enodes) 51.119 * * [simplify]: iters left: 5 (158 enodes) 51.187 * * [simplify]: iters left: 4 (493 enodes) 51.529 * * [simplify]: Extracting #0: cost 1 inf + 0 51.529 * * [simplify]: Extracting #1: cost 3 inf + 0 51.529 * * [simplify]: Extracting #2: cost 20 inf + 0 51.530 * * [simplify]: Extracting #3: cost 273 inf + 0 51.534 * * [simplify]: Extracting #4: cost 705 inf + 1026 51.547 * * [simplify]: Extracting #5: cost 707 inf + 40926 51.583 * * [simplify]: Extracting #6: cost 468 inf + 106988 51.622 * * [simplify]: Extracting #7: cost 368 inf + 138678 51.693 * * [simplify]: Extracting #8: cost 168 inf + 225154 51.783 * * [simplify]: Extracting #9: cost 21 inf + 297662 51.860 * * [simplify]: Extracting #10: cost 0 inf + 309462 51.983 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))))))) 51.983 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 51.983 * * * * [progress]: [ 14 / 116 ] simplifiying candidate # 51.984 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 51.984 * * [simplify]: iters left: 6 (38 enodes) 52.004 * * [simplify]: iters left: 5 (184 enodes) 52.084 * * [simplify]: Extracting #0: cost 1 inf + 0 52.084 * * [simplify]: Extracting #1: cost 3 inf + 0 52.084 * * [simplify]: Extracting #2: cost 10 inf + 0 52.084 * * [simplify]: Extracting #3: cost 76 inf + 0 52.085 * * [simplify]: Extracting #4: cost 174 inf + 1 52.086 * * [simplify]: Extracting #5: cost 223 inf + 86 52.090 * * [simplify]: Extracting #6: cost 171 inf + 19920 52.110 * * [simplify]: Extracting #7: cost 40 inf + 76628 52.140 * * [simplify]: Extracting #8: cost 0 inf + 82322 52.176 * * [simplify]: Extracting #9: cost 0 inf + 80936 52.207 * [simplify]: Simplified to (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (- phi1 phi2) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) 52.207 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (- phi1 phi2) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 52.207 * * * * [progress]: [ 15 / 116 ] simplifiying candidate # 52.208 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 52.208 * * [simplify]: iters left: 6 (33 enodes) 52.224 * * [simplify]: iters left: 5 (156 enodes) 52.289 * * [simplify]: iters left: 4 (469 enodes) 52.547 * * [simplify]: Extracting #0: cost 1 inf + 0 52.547 * * [simplify]: Extracting #1: cost 3 inf + 0 52.547 * * [simplify]: Extracting #2: cost 15 inf + 0 52.547 * * [simplify]: Extracting #3: cost 213 inf + 0 52.549 * * [simplify]: Extracting #4: cost 585 inf + 128 52.553 * * [simplify]: Extracting #5: cost 733 inf + 11544 52.569 * * [simplify]: Extracting #6: cost 620 inf + 32751 52.606 * * [simplify]: Extracting #7: cost 364 inf + 112976 52.662 * * [simplify]: Extracting #8: cost 140 inf + 205356 52.744 * * [simplify]: Extracting #9: cost 14 inf + 265840 52.824 * * [simplify]: Extracting #10: cost 0 inf + 274270 52.913 * * [simplify]: Extracting #11: cost 0 inf + 274230 53.014 * [simplify]: Simplified to (sqrt (+ (* (+ phi2 phi1) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))))) (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2))) (* (- phi1 phi2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))) 53.014 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ phi2 phi1) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))))) (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2))) (* (- phi1 phi2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) 53.014 * * * * [progress]: [ 16 / 116 ] simplifiying candidate # 53.015 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 53.015 * * [simplify]: iters left: 6 (38 enodes) 53.033 * * [simplify]: iters left: 5 (184 enodes) 53.081 * * [simplify]: Extracting #0: cost 1 inf + 0 53.081 * * [simplify]: Extracting #1: cost 3 inf + 0 53.081 * * [simplify]: Extracting #2: cost 10 inf + 0 53.081 * * [simplify]: Extracting #3: cost 76 inf + 0 53.082 * * [simplify]: Extracting #4: cost 174 inf + 1 53.083 * * [simplify]: Extracting #5: cost 222 inf + 167 53.087 * * [simplify]: Extracting #6: cost 170 inf + 21500 53.104 * * [simplify]: Extracting #7: cost 44 inf + 74553 53.119 * * [simplify]: Extracting #8: cost 0 inf + 83224 53.145 * * [simplify]: Extracting #9: cost 0 inf + 81576 53.167 * [simplify]: Simplified to (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (- phi1 phi2)))) 53.167 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (- phi1 phi2)))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 53.167 * * * * [progress]: [ 17 / 116 ] simplifiying candidate # 53.168 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 53.168 * * [simplify]: iters left: 6 (33 enodes) 53.176 * * [simplify]: iters left: 5 (156 enodes) 53.233 * * [simplify]: iters left: 4 (469 enodes) 53.515 * * [simplify]: Extracting #0: cost 1 inf + 0 53.515 * * [simplify]: Extracting #1: cost 3 inf + 0 53.516 * * [simplify]: Extracting #2: cost 15 inf + 0 53.516 * * [simplify]: Extracting #3: cost 209 inf + 0 53.519 * * [simplify]: Extracting #4: cost 594 inf + 86 53.530 * * [simplify]: Extracting #5: cost 741 inf + 10662 53.544 * * [simplify]: Extracting #6: cost 606 inf + 35397 53.579 * * [simplify]: Extracting #7: cost 381 inf + 103534 53.643 * * [simplify]: Extracting #8: cost 149 inf + 200232 53.749 * * [simplify]: Extracting #9: cost 10 inf + 268707 53.822 * * [simplify]: Extracting #10: cost 0 inf + 274315 53.891 * * [simplify]: Extracting #11: cost 0 inf + 274275 53.972 * [simplify]: Simplified to (sqrt (+ (* (+ phi2 phi1) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) 53.972 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ phi2 phi1) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) 53.973 * * * * [progress]: [ 18 / 116 ] simplifiying candidate # 53.973 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 53.973 * * [simplify]: iters left: 6 (40 enodes) 53.987 * * [simplify]: iters left: 5 (194 enodes) 54.046 * * [simplify]: Extracting #0: cost 1 inf + 0 54.046 * * [simplify]: Extracting #1: cost 3 inf + 0 54.046 * * [simplify]: Extracting #2: cost 6 inf + 0 54.046 * * [simplify]: Extracting #3: cost 57 inf + 0 54.047 * * [simplify]: Extracting #4: cost 182 inf + 0 54.048 * * [simplify]: Extracting #5: cost 245 inf + 1605 54.051 * * [simplify]: Extracting #6: cost 213 inf + 11545 54.059 * * [simplify]: Extracting #7: cost 121 inf + 40315 54.072 * * [simplify]: Extracting #8: cost 33 inf + 75943 54.087 * * [simplify]: Extracting #9: cost 2 inf + 85989 54.104 * * [simplify]: Extracting #10: cost 0 inf + 88639 54.121 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) 54.121 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 54.122 * * * * [progress]: [ 19 / 116 ] simplifiying candidate # 54.122 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 54.122 * * [simplify]: iters left: 6 (41 enodes) 54.135 * * [simplify]: iters left: 5 (203 enodes) 54.181 * * [simplify]: Extracting #0: cost 1 inf + 0 54.181 * * [simplify]: Extracting #1: cost 3 inf + 0 54.181 * * [simplify]: Extracting #2: cost 6 inf + 0 54.181 * * [simplify]: Extracting #3: cost 61 inf + 0 54.182 * * [simplify]: Extracting #4: cost 205 inf + 0 54.183 * * [simplify]: Extracting #5: cost 249 inf + 1975 54.189 * * [simplify]: Extracting #6: cost 167 inf + 15678 54.205 * * [simplify]: Extracting #7: cost 63 inf + 54113 54.236 * * [simplify]: Extracting #8: cost 2 inf + 91979 54.270 * * [simplify]: Extracting #9: cost 0 inf + 92696 54.301 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) 54.301 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 54.302 * * * * [progress]: [ 20 / 116 ] simplifiying candidate # 54.302 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 54.302 * * [simplify]: iters left: 6 (41 enodes) 54.313 * * [simplify]: iters left: 5 (203 enodes) 54.384 * * [simplify]: Extracting #0: cost 1 inf + 0 54.384 * * [simplify]: Extracting #1: cost 3 inf + 0 54.384 * * [simplify]: Extracting #2: cost 6 inf + 0 54.385 * * [simplify]: Extracting #3: cost 63 inf + 0 54.385 * * [simplify]: Extracting #4: cost 203 inf + 0 54.387 * * [simplify]: Extracting #5: cost 248 inf + 1729 54.391 * * [simplify]: Extracting #6: cost 161 inf + 17196 54.406 * * [simplify]: Extracting #7: cost 57 inf + 58969 54.435 * * [simplify]: Extracting #8: cost 4 inf + 89422 54.454 * * [simplify]: Extracting #9: cost 0 inf + 90248 54.475 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (+ lambda2 lambda1)) (* (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cbrt (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2))))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 54.475 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (+ lambda2 lambda1)) (* (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cbrt (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2))))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 54.475 * * * * [progress]: [ 21 / 116 ] simplifiying candidate # 54.476 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 54.476 * * [simplify]: iters left: 6 (35 enodes) 54.494 * * [simplify]: iters left: 5 (167 enodes) 54.559 * * [simplify]: Extracting #0: cost 1 inf + 0 54.560 * * [simplify]: Extracting #1: cost 3 inf + 0 54.560 * * [simplify]: Extracting #2: cost 6 inf + 0 54.560 * * [simplify]: Extracting #3: cost 55 inf + 0 54.560 * * [simplify]: Extracting #4: cost 171 inf + 0 54.562 * * [simplify]: Extracting #5: cost 202 inf + 1733 54.565 * * [simplify]: Extracting #6: cost 139 inf + 16358 54.579 * * [simplify]: Extracting #7: cost 44 inf + 49729 54.604 * * [simplify]: Extracting #8: cost 4 inf + 67214 54.625 * * [simplify]: Extracting #9: cost 1 inf + 68922 54.638 * * [simplify]: Extracting #10: cost 0 inf + 70147 54.654 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cbrt (cos (/ (+ phi2 phi1) 2)))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) 54.654 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cbrt (cos (/ (+ phi2 phi1) 2)))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) 54.654 * * * * [progress]: [ 22 / 116 ] simplifiying candidate # 54.655 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 54.655 * * [simplify]: iters left: 6 (40 enodes) 54.675 * * [simplify]: iters left: 5 (195 enodes) 54.753 * * [simplify]: Extracting #0: cost 1 inf + 0 54.753 * * [simplify]: Extracting #1: cost 3 inf + 0 54.753 * * [simplify]: Extracting #2: cost 10 inf + 0 54.753 * * [simplify]: Extracting #3: cost 79 inf + 0 54.754 * * [simplify]: Extracting #4: cost 192 inf + 1 54.755 * * [simplify]: Extracting #5: cost 223 inf + 1889 54.758 * * [simplify]: Extracting #6: cost 124 inf + 26651 54.768 * * [simplify]: Extracting #7: cost 35 inf + 68812 54.786 * * [simplify]: Extracting #8: cost 3 inf + 79799 54.815 * * [simplify]: Extracting #9: cost 0 inf + 82268 54.838 * [simplify]: Simplified to (sqrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cbrt (cos (/ (+ phi2 phi1) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (cos (/ (+ phi2 phi1) 2)))) (cbrt (cos (/ (+ phi2 phi1) 2))))))))) 54.839 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cbrt (cos (/ (+ phi2 phi1) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (cos (/ (+ phi2 phi1) 2)))) (cbrt (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 54.839 * * * * [progress]: [ 23 / 116 ] simplifiying candidate # 54.839 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 54.839 * * [simplify]: iters left: 6 (35 enodes) 54.848 * * [simplify]: iters left: 5 (167 enodes) 54.884 * * [simplify]: iters left: 4 (496 enodes) 55.195 * * [simplify]: Extracting #0: cost 1 inf + 0 55.195 * * [simplify]: Extracting #1: cost 3 inf + 0 55.195 * * [simplify]: Extracting #2: cost 14 inf + 0 55.196 * * [simplify]: Extracting #3: cost 308 inf + 0 55.200 * * [simplify]: Extracting #4: cost 816 inf + 86 55.208 * * [simplify]: Extracting #5: cost 938 inf + 4170 55.229 * * [simplify]: Extracting #6: cost 721 inf + 48864 55.256 * * [simplify]: Extracting #7: cost 417 inf + 144898 55.335 * * [simplify]: Extracting #8: cost 95 inf + 283693 55.458 * * [simplify]: Extracting #9: cost 4 inf + 329070 55.537 * * [simplify]: Extracting #10: cost 0 inf + 331690 55.638 * [simplify]: Simplified to (sqrt (+ (* (+ lambda2 lambda1) (* (+ phi2 phi1) (* (* (- phi1 phi2) (- phi1 phi2)) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))))) 55.638 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ lambda2 lambda1) (* (+ phi2 phi1) (* (* (- phi1 phi2) (- phi1 phi2)) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) 55.638 * * * * [progress]: [ 24 / 116 ] simplifiying candidate # 55.638 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 55.638 * * [simplify]: iters left: 6 (40 enodes) 55.650 * * [simplify]: iters left: 5 (195 enodes) 55.707 * * [simplify]: Extracting #0: cost 1 inf + 0 55.707 * * [simplify]: Extracting #1: cost 3 inf + 0 55.707 * * [simplify]: Extracting #2: cost 10 inf + 0 55.707 * * [simplify]: Extracting #3: cost 79 inf + 0 55.707 * * [simplify]: Extracting #4: cost 192 inf + 1 55.708 * * [simplify]: Extracting #5: cost 225 inf + 1596 55.711 * * [simplify]: Extracting #6: cost 149 inf + 18240 55.719 * * [simplify]: Extracting #7: cost 49 inf + 63243 55.745 * * [simplify]: Extracting #8: cost 3 inf + 81148 55.777 * * [simplify]: Extracting #9: cost 0 inf + 83148 55.793 * * [simplify]: Extracting #10: cost 0 inf + 83068 55.808 * [simplify]: Simplified to (sqrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cbrt (cos (/ (+ phi2 phi1) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (cos (/ (+ phi2 phi1) 2)))) (cbrt (cos (/ (+ phi2 phi1) 2))))))))) 55.808 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cbrt (cos (/ (+ phi2 phi1) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (cos (/ (+ phi2 phi1) 2)))) (cbrt (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 55.809 * * * * [progress]: [ 25 / 116 ] simplifiying candidate # 55.809 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 55.809 * * [simplify]: iters left: 6 (35 enodes) 55.818 * * [simplify]: iters left: 5 (167 enodes) 55.883 * * [simplify]: iters left: 4 (496 enodes) 56.174 * * [simplify]: Extracting #0: cost 1 inf + 0 56.174 * * [simplify]: Extracting #1: cost 3 inf + 0 56.174 * * [simplify]: Extracting #2: cost 14 inf + 0 56.175 * * [simplify]: Extracting #3: cost 305 inf + 0 56.177 * * [simplify]: Extracting #4: cost 820 inf + 86 56.181 * * [simplify]: Extracting #5: cost 926 inf + 6889 56.194 * * [simplify]: Extracting #6: cost 681 inf + 59954 56.237 * * [simplify]: Extracting #7: cost 401 inf + 150261 56.337 * * [simplify]: Extracting #8: cost 90 inf + 286568 56.415 * * [simplify]: Extracting #9: cost 2 inf + 330480 56.512 * * [simplify]: Extracting #10: cost 0 inf + 331810 56.612 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)) (cos (/ (+ phi2 phi1) 2)))))) 56.612 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)) (cos (/ (+ phi2 phi1) 2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) 56.612 * * * * [progress]: [ 26 / 116 ] simplifiying candidate # 56.613 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 56.613 * * [simplify]: iters left: 6 (40 enodes) 56.626 * * [simplify]: iters left: 5 (194 enodes) 56.683 * * [simplify]: Extracting #0: cost 1 inf + 0 56.683 * * [simplify]: Extracting #1: cost 3 inf + 0 56.683 * * [simplify]: Extracting #2: cost 6 inf + 0 56.683 * * [simplify]: Extracting #3: cost 57 inf + 0 56.684 * * [simplify]: Extracting #4: cost 178 inf + 0 56.685 * * [simplify]: Extracting #5: cost 234 inf + 452 56.688 * * [simplify]: Extracting #6: cost 206 inf + 3717 56.693 * * [simplify]: Extracting #7: cost 143 inf + 17576 56.713 * * [simplify]: Extracting #8: cost 39 inf + 62789 56.744 * * [simplify]: Extracting #9: cost 2 inf + 85436 56.761 * * [simplify]: Extracting #10: cost 0 inf + 88086 56.791 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (cbrt (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) 56.791 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (cbrt (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 56.792 * * * * [progress]: [ 27 / 116 ] simplifiying candidate # 56.792 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 56.793 * * [simplify]: iters left: 6 (41 enodes) 56.812 * * [simplify]: iters left: 5 (203 enodes) 56.874 * * [simplify]: Extracting #0: cost 1 inf + 0 56.874 * * [simplify]: Extracting #1: cost 3 inf + 0 56.874 * * [simplify]: Extracting #2: cost 6 inf + 0 56.874 * * [simplify]: Extracting #3: cost 61 inf + 0 56.875 * * [simplify]: Extracting #4: cost 201 inf + 0 56.877 * * [simplify]: Extracting #5: cost 242 inf + 827 56.882 * * [simplify]: Extracting #6: cost 150 inf + 16530 56.896 * * [simplify]: Extracting #7: cost 66 inf + 49253 56.919 * * [simplify]: Extracting #8: cost 7 inf + 85276 56.937 * * [simplify]: Extracting #9: cost 0 inf + 89383 56.962 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cbrt (cos (/ (+ phi1 phi2) 2))) (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2))))))))) 56.962 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cbrt (cos (/ (+ phi1 phi2) 2))) (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 56.962 * * * * [progress]: [ 28 / 116 ] simplifiying candidate # 56.963 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 56.963 * * [simplify]: iters left: 6 (41 enodes) 56.981 * * [simplify]: iters left: 5 (203 enodes) 57.045 * * [simplify]: Extracting #0: cost 1 inf + 0 57.045 * * [simplify]: Extracting #1: cost 3 inf + 0 57.045 * * [simplify]: Extracting #2: cost 6 inf + 0 57.045 * * [simplify]: Extracting #3: cost 63 inf + 0 57.046 * * [simplify]: Extracting #4: cost 199 inf + 0 57.048 * * [simplify]: Extracting #5: cost 237 inf + 908 57.054 * * [simplify]: Extracting #6: cost 135 inf + 20511 57.069 * * [simplify]: Extracting #7: cost 70 inf + 43806 57.088 * * [simplify]: Extracting #8: cost 8 inf + 81841 57.104 * * [simplify]: Extracting #9: cost 0 inf + 86935 57.135 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) 57.135 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 57.136 * * * * [progress]: [ 29 / 116 ] simplifiying candidate # 57.136 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 57.136 * * [simplify]: iters left: 6 (35 enodes) 57.157 * * [simplify]: iters left: 5 (167 enodes) 57.231 * * [simplify]: iters left: 4 (499 enodes) 57.514 * * [simplify]: Extracting #0: cost 1 inf + 0 57.514 * * [simplify]: Extracting #1: cost 3 inf + 0 57.514 * * [simplify]: Extracting #2: cost 20 inf + 0 57.516 * * [simplify]: Extracting #3: cost 332 inf + 0 57.527 * * [simplify]: Extracting #4: cost 880 inf + 291 57.537 * * [simplify]: Extracting #5: cost 926 inf + 15952 57.563 * * [simplify]: Extracting #6: cost 690 inf + 74454 57.598 * * [simplify]: Extracting #7: cost 409 inf + 163117 57.695 * * [simplify]: Extracting #8: cost 104 inf + 300167 57.794 * * [simplify]: Extracting #9: cost 11 inf + 353546 57.896 * * [simplify]: Extracting #10: cost 0 inf + 360021 58.011 * [simplify]: Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (+ lambda1 lambda2) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) 58.011 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (+ lambda1 lambda2) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 58.012 * * * * [progress]: [ 30 / 116 ] simplifiying candidate # 58.012 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 58.013 * * [simplify]: iters left: 6 (40 enodes) 58.036 * * [simplify]: iters left: 5 (195 enodes) 58.118 * * [simplify]: Extracting #0: cost 1 inf + 0 58.118 * * [simplify]: Extracting #1: cost 3 inf + 0 58.118 * * [simplify]: Extracting #2: cost 10 inf + 0 58.118 * * [simplify]: Extracting #3: cost 79 inf + 0 58.119 * * [simplify]: Extracting #4: cost 188 inf + 1 58.120 * * [simplify]: Extracting #5: cost 213 inf + 1108 58.125 * * [simplify]: Extracting #6: cost 149 inf + 14156 58.139 * * [simplify]: Extracting #7: cost 60 inf + 52881 58.167 * * [simplify]: Extracting #8: cost 4 inf + 78801 58.198 * * [simplify]: Extracting #9: cost 0 inf + 81755 58.216 * [simplify]: Simplified to (sqrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) 58.216 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 58.216 * * * * [progress]: [ 31 / 116 ] simplifiying candidate # 58.217 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 58.217 * * [simplify]: iters left: 6 (35 enodes) 58.226 * * [simplify]: iters left: 5 (167 enodes) 58.276 * * [simplify]: iters left: 4 (492 enodes) 58.617 * * [simplify]: Extracting #0: cost 1 inf + 0 58.617 * * [simplify]: Extracting #1: cost 3 inf + 0 58.617 * * [simplify]: Extracting #2: cost 15 inf + 0 58.619 * * [simplify]: Extracting #3: cost 303 inf + 0 58.624 * * [simplify]: Extracting #4: cost 795 inf + 166 58.634 * * [simplify]: Extracting #5: cost 891 inf + 14758 58.669 * * [simplify]: Extracting #6: cost 601 inf + 88147 58.720 * * [simplify]: Extracting #7: cost 359 inf + 168707 58.782 * * [simplify]: Extracting #8: cost 75 inf + 298153 58.864 * * [simplify]: Extracting #9: cost 4 inf + 335898 58.953 * * [simplify]: Extracting #10: cost 0 inf + 338678 59.043 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (- phi1 phi2)) (+ phi1 phi2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2)))))) 59.043 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (- phi1 phi2)) (+ phi1 phi2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2)))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) 59.044 * * * * [progress]: [ 32 / 116 ] simplifiying candidate # 59.044 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 59.044 * * [simplify]: iters left: 6 (40 enodes) 59.065 * * [simplify]: iters left: 5 (195 enodes) 59.130 * * [simplify]: Extracting #0: cost 1 inf + 0 59.131 * * [simplify]: Extracting #1: cost 3 inf + 0 59.131 * * [simplify]: Extracting #2: cost 10 inf + 0 59.131 * * [simplify]: Extracting #3: cost 79 inf + 0 59.131 * * [simplify]: Extracting #4: cost 188 inf + 1 59.132 * * [simplify]: Extracting #5: cost 213 inf + 1148 59.134 * * [simplify]: Extracting #6: cost 148 inf + 14934 59.141 * * [simplify]: Extracting #7: cost 62 inf + 52072 59.161 * * [simplify]: Extracting #8: cost 3 inf + 79853 59.182 * * [simplify]: Extracting #9: cost 0 inf + 82555 59.197 * [simplify]: Simplified to (sqrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) 59.197 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 59.198 * * * * [progress]: [ 33 / 116 ] simplifiying candidate # 59.198 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 59.198 * * [simplify]: iters left: 6 (35 enodes) 59.213 * * [simplify]: iters left: 5 (167 enodes) 59.265 * * [simplify]: iters left: 4 (492 enodes) 59.615 * * [simplify]: Extracting #0: cost 1 inf + 0 59.615 * * [simplify]: Extracting #1: cost 3 inf + 0 59.615 * * [simplify]: Extracting #2: cost 15 inf + 0 59.616 * * [simplify]: Extracting #3: cost 301 inf + 0 59.621 * * [simplify]: Extracting #4: cost 804 inf + 85 59.629 * * [simplify]: Extracting #5: cost 910 inf + 11080 59.663 * * [simplify]: Extracting #6: cost 591 inf + 89420 59.704 * * [simplify]: Extracting #7: cost 339 inf + 177387 59.774 * * [simplify]: Extracting #8: cost 77 inf + 296751 59.896 * * [simplify]: Extracting #9: cost 1 inf + 340511 60.001 * * [simplify]: Extracting #10: cost 0 inf + 341176 60.099 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- phi1 phi2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2)))))) 60.100 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- phi1 phi2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2)))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) 60.100 * * * * [progress]: [ 34 / 116 ] simplifiying candidate # 60.100 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 60.101 * * [simplify]: iters left: 6 (34 enodes) 60.113 * * [simplify]: iters left: 5 (161 enodes) 60.158 * * [simplify]: Extracting #0: cost 1 inf + 0 60.158 * * [simplify]: Extracting #1: cost 3 inf + 0 60.158 * * [simplify]: Extracting #2: cost 6 inf + 0 60.159 * * [simplify]: Extracting #3: cost 57 inf + 0 60.159 * * [simplify]: Extracting #4: cost 167 inf + 0 60.160 * * [simplify]: Extracting #5: cost 210 inf + 207 60.164 * * [simplify]: Extracting #6: cost 166 inf + 10408 60.179 * * [simplify]: Extracting #7: cost 62 inf + 46949 60.202 * * [simplify]: Extracting #8: cost 14 inf + 65250 60.229 * * [simplify]: Extracting #9: cost 1 inf + 71651 60.260 * * [simplify]: Extracting #10: cost 0 inf + 72716 60.287 * [simplify]: Simplified to (sqrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) 60.288 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 60.288 * * * * [progress]: [ 35 / 116 ] simplifiying candidate # 60.289 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 60.289 * * [simplify]: iters left: 6 (35 enodes) 60.308 * * [simplify]: iters left: 5 (168 enodes) 60.350 * * [simplify]: Extracting #0: cost 1 inf + 0 60.350 * * [simplify]: Extracting #1: cost 3 inf + 0 60.350 * * [simplify]: Extracting #2: cost 6 inf + 0 60.350 * * [simplify]: Extracting #3: cost 58 inf + 0 60.351 * * [simplify]: Extracting #4: cost 183 inf + 0 60.352 * * [simplify]: Extracting #5: cost 220 inf + 46 60.356 * * [simplify]: Extracting #6: cost 165 inf + 12088 60.371 * * [simplify]: Extracting #7: cost 43 inf + 54886 60.384 * * [simplify]: Extracting #8: cost 7 inf + 68042 60.397 * * [simplify]: Extracting #9: cost 1 inf + 71084 60.422 * * [simplify]: Extracting #10: cost 0 inf + 72269 60.436 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi1 phi2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) 60.436 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi1 phi2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 60.436 * * * * [progress]: [ 36 / 116 ] simplifiying candidate # 60.437 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 60.437 * * [simplify]: iters left: 6 (35 enodes) 60.446 * * [simplify]: iters left: 5 (168 enodes) 60.513 * * [simplify]: Extracting #0: cost 1 inf + 0 60.513 * * [simplify]: Extracting #1: cost 3 inf + 0 60.513 * * [simplify]: Extracting #2: cost 6 inf + 0 60.513 * * [simplify]: Extracting #3: cost 60 inf + 0 60.514 * * [simplify]: Extracting #4: cost 181 inf + 0 60.515 * * [simplify]: Extracting #5: cost 211 inf + 374 60.518 * * [simplify]: Extracting #6: cost 144 inf + 15981 60.526 * * [simplify]: Extracting #7: cost 51 inf + 45378 60.538 * * [simplify]: Extracting #8: cost 7 inf + 64880 60.558 * * [simplify]: Extracting #9: cost 1 inf + 68716 60.571 * * [simplify]: Extracting #10: cost 0 inf + 69821 60.587 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) 60.587 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 60.587 * * * * [progress]: [ 37 / 116 ] simplifiying candidate # 60.588 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 60.588 * * [simplify]: iters left: 6 (28 enodes) 60.602 * * [simplify]: iters left: 5 (129 enodes) 60.652 * * [simplify]: iters left: 4 (406 enodes) 60.847 * * [simplify]: Extracting #0: cost 1 inf + 0 60.847 * * [simplify]: Extracting #1: cost 3 inf + 0 60.847 * * [simplify]: Extracting #2: cost 20 inf + 0 60.848 * * [simplify]: Extracting #3: cost 255 inf + 0 60.850 * * [simplify]: Extracting #4: cost 613 inf + 578 60.856 * * [simplify]: Extracting #5: cost 608 inf + 26266 60.870 * * [simplify]: Extracting #6: cost 419 inf + 65721 60.899 * * [simplify]: Extracting #7: cost 314 inf + 91982 60.942 * * [simplify]: Extracting #8: cost 82 inf + 182426 61.027 * * [simplify]: Extracting #9: cost 6 inf + 216103 61.106 * * [simplify]: Extracting #10: cost 0 inf + 219493 61.153 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (+ lambda1 lambda2)))))) 61.153 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (+ lambda1 lambda2)))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) 61.153 * * * * [progress]: [ 38 / 116 ] simplifiying candidate # 61.154 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 61.154 * * [simplify]: iters left: 6 (34 enodes) 61.164 * * [simplify]: iters left: 5 (160 enodes) 61.201 * * [simplify]: iters left: 4 (462 enodes) 61.439 * * [simplify]: Extracting #0: cost 1 inf + 0 61.439 * * [simplify]: Extracting #1: cost 3 inf + 0 61.439 * * [simplify]: Extracting #2: cost 20 inf + 0 61.440 * * [simplify]: Extracting #3: cost 255 inf + 0 61.444 * * [simplify]: Extracting #4: cost 689 inf + 454 61.454 * * [simplify]: Extracting #5: cost 725 inf + 18157 61.481 * * [simplify]: Extracting #6: cost 519 inf + 70435 61.525 * * [simplify]: Extracting #7: cost 368 inf + 121627 61.609 * * [simplify]: Extracting #8: cost 105 inf + 234962 61.683 * * [simplify]: Extracting #9: cost 1 inf + 286003 61.776 * * [simplify]: Extracting #10: cost 0 inf + 286028 61.859 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2))))) 61.859 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 61.859 * * * * [progress]: [ 39 / 116 ] simplifiying candidate # 61.859 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 61.860 * * [simplify]: iters left: 6 (28 enodes) 61.871 * * [simplify]: iters left: 5 (127 enodes) 61.905 * * [simplify]: iters left: 4 (382 enodes) 62.099 * * [simplify]: Extracting #0: cost 1 inf + 0 62.099 * * [simplify]: Extracting #1: cost 3 inf + 0 62.100 * * [simplify]: Extracting #2: cost 15 inf + 0 62.100 * * [simplify]: Extracting #3: cost 189 inf + 0 62.107 * * [simplify]: Extracting #4: cost 536 inf + 453 62.112 * * [simplify]: Extracting #5: cost 531 inf + 17611 62.126 * * [simplify]: Extracting #6: cost 277 inf + 74818 62.171 * * [simplify]: Extracting #7: cost 66 inf + 151968 62.219 * * [simplify]: Extracting #8: cost 5 inf + 179276 62.270 * * [simplify]: Extracting #9: cost 0 inf + 182041 62.343 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) 62.343 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) 62.344 * * * * [progress]: [ 40 / 116 ] simplifiying candidate # 62.344 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 62.345 * * [simplify]: iters left: 6 (34 enodes) 62.362 * * [simplify]: iters left: 5 (160 enodes) 62.431 * * [simplify]: iters left: 4 (462 enodes) 62.673 * * [simplify]: Extracting #0: cost 1 inf + 0 62.673 * * [simplify]: Extracting #1: cost 3 inf + 0 62.673 * * [simplify]: Extracting #2: cost 20 inf + 0 62.674 * * [simplify]: Extracting #3: cost 239 inf + 0 62.678 * * [simplify]: Extracting #4: cost 651 inf + 292 62.687 * * [simplify]: Extracting #5: cost 741 inf + 13017 62.710 * * [simplify]: Extracting #6: cost 552 inf + 56203 62.742 * * [simplify]: Extracting #7: cost 376 inf + 117815 62.805 * * [simplify]: Extracting #8: cost 112 inf + 229527 62.890 * * [simplify]: Extracting #9: cost 2 inf + 283496 62.998 * * [simplify]: Extracting #10: cost 0 inf + 284506 63.113 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) 63.113 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 63.113 * * * * [progress]: [ 41 / 116 ] simplifiying candidate # 63.114 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 63.114 * * [simplify]: iters left: 6 (28 enodes) 63.127 * * [simplify]: iters left: 5 (127 enodes) 63.170 * * [simplify]: iters left: 4 (382 enodes) 63.402 * * [simplify]: Extracting #0: cost 1 inf + 0 63.402 * * [simplify]: Extracting #1: cost 3 inf + 0 63.402 * * [simplify]: Extracting #2: cost 15 inf + 0 63.403 * * [simplify]: Extracting #3: cost 188 inf + 0 63.406 * * [simplify]: Extracting #4: cost 541 inf + 453 63.415 * * [simplify]: Extracting #5: cost 528 inf + 17444 63.443 * * [simplify]: Extracting #6: cost 270 inf + 75571 63.502 * * [simplify]: Extracting #7: cost 66 inf + 154160 63.557 * * [simplify]: Extracting #8: cost 4 inf + 180085 63.618 * * [simplify]: Extracting #9: cost 0 inf + 182145 63.691 * * [simplify]: Extracting #10: cost 0 inf + 182105 63.748 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) 63.748 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) 63.748 * * * * [progress]: [ 42 / 116 ] simplifiying candidate # 63.749 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 63.749 * * [simplify]: iters left: 6 (38 enodes) 63.761 * * [simplify]: iters left: 5 (177 enodes) 63.808 * * [simplify]: Extracting #0: cost 1 inf + 0 63.808 * * [simplify]: Extracting #1: cost 3 inf + 0 63.808 * * [simplify]: Extracting #2: cost 6 inf + 0 63.808 * * [simplify]: Extracting #3: cost 56 inf + 0 63.809 * * [simplify]: Extracting #4: cost 158 inf + 0 63.809 * * [simplify]: Extracting #5: cost 204 inf + 128 63.811 * * [simplify]: Extracting #6: cost 168 inf + 7808 63.819 * * [simplify]: Extracting #7: cost 62 inf + 43975 63.847 * * [simplify]: Extracting #8: cost 7 inf + 77318 63.876 * * [simplify]: Extracting #9: cost 0 inf + 80589 63.905 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cbrt (cos (/ (+ phi1 phi2) 2))))))) 63.905 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cbrt (cos (/ (+ phi1 phi2) 2))))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 63.906 * * * * [progress]: [ 43 / 116 ] simplifiying candidate # 63.906 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 63.907 * * [simplify]: iters left: 6 (39 enodes) 63.929 * * [simplify]: iters left: 5 (186 enodes) 64.004 * * [simplify]: Extracting #0: cost 1 inf + 0 64.004 * * [simplify]: Extracting #1: cost 3 inf + 0 64.004 * * [simplify]: Extracting #2: cost 6 inf + 0 64.004 * * [simplify]: Extracting #3: cost 60 inf + 0 64.005 * * [simplify]: Extracting #4: cost 180 inf + 0 64.006 * * [simplify]: Extracting #5: cost 215 inf + 255 64.009 * * [simplify]: Extracting #6: cost 167 inf + 11417 64.027 * * [simplify]: Extracting #7: cost 44 inf + 59091 64.058 * * [simplify]: Extracting #8: cost 2 inf + 80323 64.086 * * [simplify]: Extracting #9: cost 0 inf + 82722 64.106 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (+ phi1 phi2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (* (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) 64.106 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (+ phi1 phi2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (* (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 64.107 * * * * [progress]: [ 44 / 116 ] simplifiying candidate # 64.107 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 64.107 * * [simplify]: iters left: 6 (39 enodes) 64.118 * * [simplify]: iters left: 5 (186 enodes) 64.189 * * [simplify]: Extracting #0: cost 1 inf + 0 64.189 * * [simplify]: Extracting #1: cost 3 inf + 0 64.189 * * [simplify]: Extracting #2: cost 6 inf + 0 64.189 * * [simplify]: Extracting #3: cost 62 inf + 0 64.190 * * [simplify]: Extracting #4: cost 178 inf + 0 64.191 * * [simplify]: Extracting #5: cost 212 inf + 254 64.195 * * [simplify]: Extracting #6: cost 161 inf + 11453 64.212 * * [simplify]: Extracting #7: cost 49 inf + 59577 64.240 * * [simplify]: Extracting #8: cost 5 inf + 79209 64.267 * * [simplify]: Extracting #9: cost 0 inf + 80525 64.296 * * [simplify]: Extracting #10: cost 0 inf + 80354 64.316 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ phi1 phi2) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))))) 64.316 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ phi1 phi2) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 64.316 * * * * [progress]: [ 45 / 116 ] simplifiying candidate # 64.316 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 64.317 * * [simplify]: iters left: 6 (33 enodes) 64.325 * * [simplify]: iters left: 5 (150 enodes) 64.373 * * [simplify]: iters left: 4 (416 enodes) 64.606 * * [simplify]: Extracting #0: cost 1 inf + 0 64.606 * * [simplify]: Extracting #1: cost 3 inf + 0 64.606 * * [simplify]: Extracting #2: cost 26 inf + 0 64.607 * * [simplify]: Extracting #3: cost 295 inf + 0 64.609 * * [simplify]: Extracting #4: cost 689 inf + 1764 64.615 * * [simplify]: Extracting #5: cost 660 inf + 25692 64.626 * * [simplify]: Extracting #6: cost 529 inf + 57231 64.660 * * [simplify]: Extracting #7: cost 373 inf + 105926 64.726 * * [simplify]: Extracting #8: cost 91 inf + 228314 64.787 * * [simplify]: Extracting #9: cost 0 inf + 274871 64.855 * [simplify]: Simplified to (sqrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))))) 64.856 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 64.856 * * * * [progress]: [ 46 / 116 ] simplifiying candidate # 64.856 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 64.857 * * [simplify]: iters left: 6 (38 enodes) 64.873 * * [simplify]: iters left: 5 (178 enodes) 64.917 * * [simplify]: iters left: 4 (480 enodes) 65.180 * * [simplify]: Extracting #0: cost 1 inf + 0 65.180 * * [simplify]: Extracting #1: cost 3 inf + 0 65.181 * * [simplify]: Extracting #2: cost 24 inf + 0 65.182 * * [simplify]: Extracting #3: cost 356 inf + 0 65.187 * * [simplify]: Extracting #4: cost 789 inf + 497 65.197 * * [simplify]: Extracting #5: cost 862 inf + 15121 65.222 * * [simplify]: Extracting #6: cost 670 inf + 71409 65.277 * * [simplify]: Extracting #7: cost 451 inf + 150553 65.357 * * [simplify]: Extracting #8: cost 98 inf + 319834 65.457 * * [simplify]: Extracting #9: cost 7 inf + 370883 65.581 * * [simplify]: Extracting #10: cost 0 inf + 375738 65.661 * [simplify]: Simplified to (sqrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))) 65.661 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 65.662 * * * * [progress]: [ 47 / 116 ] simplifiying candidate # 65.662 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 65.662 * * [simplify]: iters left: 6 (33 enodes) 65.672 * * [simplify]: iters left: 5 (150 enodes) 65.702 * * [simplify]: iters left: 4 (407 enodes) 65.979 * * [simplify]: Extracting #0: cost 1 inf + 0 65.979 * * [simplify]: Extracting #1: cost 3 inf + 0 65.979 * * [simplify]: Extracting #2: cost 19 inf + 0 65.980 * * [simplify]: Extracting #3: cost 297 inf + 0 65.984 * * [simplify]: Extracting #4: cost 615 inf + 540 65.989 * * [simplify]: Extracting #5: cost 677 inf + 14768 66.001 * * [simplify]: Extracting #6: cost 510 inf + 51345 66.026 * * [simplify]: Extracting #7: cost 350 inf + 102223 66.106 * * [simplify]: Extracting #8: cost 85 inf + 217032 66.182 * * [simplify]: Extracting #9: cost 3 inf + 259219 66.246 * * [simplify]: Extracting #10: cost 0 inf + 261334 66.330 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))) (- lambda1 lambda2)))) 66.330 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))) (- lambda1 lambda2)))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) 66.330 * * * * [progress]: [ 48 / 116 ] simplifiying candidate # 66.330 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 66.331 * * [simplify]: iters left: 6 (38 enodes) 66.341 * * [simplify]: iters left: 5 (178 enodes) 66.395 * * [simplify]: iters left: 4 (480 enodes) 66.706 * * [simplify]: Extracting #0: cost 1 inf + 0 66.706 * * [simplify]: Extracting #1: cost 3 inf + 0 66.706 * * [simplify]: Extracting #2: cost 24 inf + 0 66.706 * * [simplify]: Extracting #3: cost 341 inf + 0 66.709 * * [simplify]: Extracting #4: cost 753 inf + 377 66.713 * * [simplify]: Extracting #5: cost 889 inf + 9882 66.724 * * [simplify]: Extracting #6: cost 726 inf + 52023 66.757 * * [simplify]: Extracting #7: cost 485 inf + 134504 66.834 * * [simplify]: Extracting #8: cost 104 inf + 316868 66.976 * * [simplify]: Extracting #9: cost 4 inf + 372673 67.064 * * [simplify]: Extracting #10: cost 0 inf + 375813 67.159 * [simplify]: Simplified to (sqrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))) 67.159 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 67.159 * * * * [progress]: [ 49 / 116 ] simplifiying candidate # 67.159 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 67.160 * * [simplify]: iters left: 6 (33 enodes) 67.169 * * [simplify]: iters left: 5 (150 enodes) 67.206 * * [simplify]: iters left: 4 (407 enodes) 67.489 * * [simplify]: Extracting #0: cost 1 inf + 0 67.489 * * [simplify]: Extracting #1: cost 3 inf + 0 67.489 * * [simplify]: Extracting #2: cost 19 inf + 0 67.490 * * [simplify]: Extracting #3: cost 294 inf + 0 67.494 * * [simplify]: Extracting #4: cost 617 inf + 749 67.503 * * [simplify]: Extracting #5: cost 688 inf + 14427 67.525 * * [simplify]: Extracting #6: cost 519 inf + 51548 67.561 * * [simplify]: Extracting #7: cost 352 inf + 105266 67.613 * * [simplify]: Extracting #8: cost 78 inf + 220794 67.683 * * [simplify]: Extracting #9: cost 1 inf + 261947 67.750 * * [simplify]: Extracting #10: cost 0 inf + 262612 67.827 * [simplify]: Simplified to (sqrt (+ (* (- phi1 phi2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi1 phi2)) (- phi1 phi2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))) (- lambda1 lambda2)))) 67.827 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- phi1 phi2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi1 phi2)) (- phi1 phi2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))) (- lambda1 lambda2)))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) 67.827 * * * * [progress]: [ 50 / 116 ] simplifiying candidate # 67.828 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 67.828 * * [simplify]: iters left: 6 (34 enodes) 67.846 * * [simplify]: iters left: 5 (152 enodes) 67.879 * * [simplify]: iters left: 4 (450 enodes) 68.247 * * [simplify]: Extracting #0: cost 1 inf + 0 68.247 * * [simplify]: Extracting #1: cost 3 inf + 0 68.247 * * [simplify]: Extracting #2: cost 26 inf + 0 68.248 * * [simplify]: Extracting #3: cost 315 inf + 0 68.250 * * [simplify]: Extracting #4: cost 926 inf + 658 68.257 * * [simplify]: Extracting #5: cost 900 inf + 22476 68.273 * * [simplify]: Extracting #6: cost 698 inf + 72482 68.315 * * [simplify]: Extracting #7: cost 321 inf + 223005 68.429 * * [simplify]: Extracting #8: cost 20 inf + 366911 68.533 * * [simplify]: Extracting #9: cost 0 inf + 376608 68.644 * [simplify]: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda2 lambda1)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda2 lambda1) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) 68.644 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda2 lambda1)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda2 lambda1) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (sqrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 68.644 * * * * [progress]: [ 51 / 116 ] simplifiying candidate # 68.645 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 68.645 * * [simplify]: iters left: 6 (35 enodes) 68.664 * * [simplify]: iters left: 5 (161 enodes) 68.714 * * [simplify]: iters left: 4 (483 enodes) 69.080 * * [simplify]: Extracting #0: cost 1 inf + 0 69.080 * * [simplify]: Extracting #1: cost 3 inf + 0 69.080 * * [simplify]: Extracting #2: cost 22 inf + 0 69.081 * * [simplify]: Extracting #3: cost 312 inf + 0 69.083 * * [simplify]: Extracting #4: cost 882 inf + 296 69.096 * * [simplify]: Extracting #5: cost 1005 inf + 13655 69.126 * * [simplify]: Extracting #6: cost 719 inf + 94030 69.214 * * [simplify]: Extracting #7: cost 246 inf + 271434 69.336 * * [simplify]: Extracting #8: cost 3 inf + 382403 69.467 * * [simplify]: Extracting #9: cost 0 inf + 383505 69.593 * [simplify]: Simplified to (sqrt (+ (* (* (+ lambda2 lambda1) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ phi1 phi2) (- phi1 phi2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (+ phi1 phi2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) 69.593 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ lambda2 lambda1) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ phi1 phi2) (- phi1 phi2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (+ phi1 phi2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (sqrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 69.594 * * * * [progress]: [ 52 / 116 ] simplifiying candidate # 69.595 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 69.595 * * [simplify]: iters left: 6 (35 enodes) 69.614 * * [simplify]: iters left: 5 (161 enodes) 69.681 * * [simplify]: iters left: 4 (481 enodes) 70.032 * * [simplify]: Extracting #0: cost 1 inf + 0 70.032 * * [simplify]: Extracting #1: cost 3 inf + 0 70.032 * * [simplify]: Extracting #2: cost 26 inf + 0 70.033 * * [simplify]: Extracting #3: cost 355 inf + 0 70.039 * * [simplify]: Extracting #4: cost 897 inf + 1523 70.053 * * [simplify]: Extracting #5: cost 875 inf + 26310 70.083 * * [simplify]: Extracting #6: cost 654 inf + 77479 70.145 * * [simplify]: Extracting #7: cost 303 inf + 210410 70.214 * * [simplify]: Extracting #8: cost 42 inf + 326468 70.349 * * [simplify]: Extracting #9: cost 0 inf + 348185 70.466 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ lambda2 lambda1) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ phi1 phi2))))))) 70.466 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ lambda2 lambda1) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ phi1 phi2))))))) (sqrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 70.466 * * * * [progress]: [ 53 / 116 ] simplifiying candidate # 70.467 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 70.467 * * [simplify]: iters left: 6 (28 enodes) 70.482 * * [simplify]: iters left: 5 (120 enodes) 70.516 * * [simplify]: iters left: 4 (353 enodes) 70.729 * * [simplify]: Extracting #0: cost 1 inf + 0 70.729 * * [simplify]: Extracting #1: cost 3 inf + 0 70.729 * * [simplify]: Extracting #2: cost 22 inf + 0 70.730 * * [simplify]: Extracting #3: cost 241 inf + 0 70.731 * * [simplify]: Extracting #4: cost 670 inf + 747 70.739 * * [simplify]: Extracting #5: cost 630 inf + 16188 70.757 * * [simplify]: Extracting #6: cost 486 inf + 41663 70.808 * * [simplify]: Extracting #7: cost 214 inf + 130246 70.882 * * [simplify]: Extracting #8: cost 33 inf + 200993 70.946 * * [simplify]: Extracting #9: cost 0 inf + 217414 71.006 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda2 lambda1)) (* (* (* (* (- lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (+ lambda2 lambda1))) (- lambda1 lambda2)))) 71.006 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda2 lambda1)) (* (* (* (* (- lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (+ lambda2 lambda1))) (- lambda1 lambda2)))) (sqrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) 71.007 * * * * [progress]: [ 54 / 116 ] simplifiying candidate # 71.007 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 71.007 * * [simplify]: iters left: 6 (34 enodes) 71.016 * * [simplify]: iters left: 5 (153 enodes) 71.072 * * [simplify]: iters left: 4 (424 enodes) 71.782 * * [simplify]: Extracting #0: cost 1 inf + 0 71.782 * * [simplify]: Extracting #1: cost 3 inf + 0 71.782 * * [simplify]: Extracting #2: cost 21 inf + 0 71.783 * * [simplify]: Extracting #3: cost 321 inf + 0 71.787 * * [simplify]: Extracting #4: cost 781 inf + 662 71.798 * * [simplify]: Extracting #5: cost 775 inf + 20978 71.819 * * [simplify]: Extracting #6: cost 613 inf + 58616 71.884 * * [simplify]: Extracting #7: cost 267 inf + 184462 71.962 * * [simplify]: Extracting #8: cost 26 inf + 291471 72.077 * * [simplify]: Extracting #9: cost 0 inf + 304755 72.157 * [simplify]: Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda2 lambda1) (- phi1 phi2))))) 72.157 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda2 lambda1) (- phi1 phi2))))) (sqrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 72.158 * * * * [progress]: [ 55 / 116 ] simplifiying candidate # 72.158 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 72.158 * * [simplify]: iters left: 6 (28 enodes) 72.165 * * [simplify]: iters left: 5 (120 enodes) 72.209 * * [simplify]: iters left: 4 (344 enodes) 72.431 * * [simplify]: Extracting #0: cost 1 inf + 0 72.431 * * [simplify]: Extracting #1: cost 3 inf + 0 72.431 * * [simplify]: Extracting #2: cost 17 inf + 0 72.431 * * [simplify]: Extracting #3: cost 259 inf + 0 72.433 * * [simplify]: Extracting #4: cost 590 inf + 1035 72.438 * * [simplify]: Extracting #5: cost 589 inf + 15197 72.450 * * [simplify]: Extracting #6: cost 379 inf + 61050 72.481 * * [simplify]: Extracting #7: cost 95 inf + 162086 72.523 * * [simplify]: Extracting #8: cost 4 inf + 197820 72.585 * * [simplify]: Extracting #9: cost 0 inf + 199800 72.638 * [simplify]: Simplified to (sqrt (+ (* (- lambda1 lambda2) (* (+ phi1 phi2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ lambda2 lambda1)))) 72.638 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- lambda1 lambda2) (* (+ phi1 phi2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ lambda2 lambda1)))) (sqrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) 72.639 * * * * [progress]: [ 56 / 116 ] simplifiying candidate # 72.639 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 72.639 * * [simplify]: iters left: 6 (34 enodes) 72.657 * * [simplify]: iters left: 5 (153 enodes) 72.716 * * [simplify]: iters left: 4 (424 enodes) 72.970 * * [simplify]: Extracting #0: cost 1 inf + 0 72.970 * * [simplify]: Extracting #1: cost 3 inf + 0 72.970 * * [simplify]: Extracting #2: cost 21 inf + 0 72.970 * * [simplify]: Extracting #3: cost 305 inf + 0 72.973 * * [simplify]: Extracting #4: cost 744 inf + 744 72.978 * * [simplify]: Extracting #5: cost 797 inf + 16350 72.990 * * [simplify]: Extracting #6: cost 634 inf + 51087 73.020 * * [simplify]: Extracting #7: cost 269 inf + 181613 73.118 * * [simplify]: Extracting #8: cost 41 inf + 282794 73.192 * * [simplify]: Extracting #9: cost 0 inf + 303365 73.312 * [simplify]: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda2 lambda1))))) 73.312 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda2 lambda1))))) (sqrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 73.313 * * * * [progress]: [ 57 / 116 ] simplifiying candidate # 73.313 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 73.314 * * [simplify]: iters left: 6 (28 enodes) 73.333 * * [simplify]: iters left: 5 (120 enodes) 73.381 * * [simplify]: iters left: 4 (344 enodes) 73.615 * * [simplify]: Extracting #0: cost 1 inf + 0 73.615 * * [simplify]: Extracting #1: cost 3 inf + 0 73.616 * * [simplify]: Extracting #2: cost 17 inf + 0 73.616 * * [simplify]: Extracting #3: cost 256 inf + 0 73.620 * * [simplify]: Extracting #4: cost 593 inf + 1240 73.629 * * [simplify]: Extracting #5: cost 594 inf + 14346 73.651 * * [simplify]: Extracting #6: cost 487 inf + 29497 73.678 * * [simplify]: Extracting #7: cost 366 inf + 65170 73.734 * * [simplify]: Extracting #8: cost 83 inf + 166513 73.783 * * [simplify]: Extracting #9: cost 3 inf + 198647 73.832 * * [simplify]: Extracting #10: cost 0 inf + 200162 73.888 * [simplify]: Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (+ phi1 phi2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (+ lambda2 lambda1) (- phi1 phi2))))) 73.888 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (+ phi1 phi2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (+ lambda2 lambda1) (- phi1 phi2))))) (sqrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) 73.889 * * * * [progress]: [ 58 / 116 ] simplifiying candidate # 73.889 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 73.889 * * [simplify]: iters left: 6 (38 enodes) 73.899 * * [simplify]: iters left: 5 (177 enodes) 73.958 * * [simplify]: Extracting #0: cost 1 inf + 0 73.958 * * [simplify]: Extracting #1: cost 3 inf + 0 73.958 * * [simplify]: Extracting #2: cost 6 inf + 0 73.959 * * [simplify]: Extracting #3: cost 56 inf + 0 73.959 * * [simplify]: Extracting #4: cost 160 inf + 0 73.960 * * [simplify]: Extracting #5: cost 215 inf + 1 73.963 * * [simplify]: Extracting #6: cost 185 inf + 10518 73.983 * * [simplify]: Extracting #7: cost 63 inf + 57052 74.003 * * [simplify]: Extracting #8: cost 15 inf + 71629 74.018 * * [simplify]: Extracting #9: cost 1 inf + 78545 74.032 * * [simplify]: Extracting #10: cost 0 inf + 78989 74.049 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (- lambda1 lambda2) (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2))))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) 74.049 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (- lambda1 lambda2) (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2))))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 74.049 * * * * [progress]: [ 59 / 116 ] simplifiying candidate # 74.049 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 74.050 * * [simplify]: iters left: 6 (39 enodes) 74.062 * * [simplify]: iters left: 5 (186 enodes) 74.106 * * [simplify]: Extracting #0: cost 1 inf + 0 74.106 * * [simplify]: Extracting #1: cost 3 inf + 0 74.107 * * [simplify]: Extracting #2: cost 6 inf + 0 74.107 * * [simplify]: Extracting #3: cost 60 inf + 0 74.108 * * [simplify]: Extracting #4: cost 182 inf + 0 74.109 * * [simplify]: Extracting #5: cost 228 inf + 45 74.111 * * [simplify]: Extracting #6: cost 205 inf + 6332 74.119 * * [simplify]: Extracting #7: cost 93 inf + 36574 74.135 * * [simplify]: Extracting #8: cost 14 inf + 70972 74.151 * * [simplify]: Extracting #9: cost 1 inf + 79577 74.166 * * [simplify]: Extracting #10: cost 0 inf + 80962 74.189 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (* (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (cbrt (cos (/ (+ phi2 phi1) 2)))))))) 74.189 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (* (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (cbrt (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 74.190 * * * * [progress]: [ 60 / 116 ] simplifiying candidate # 74.190 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 74.191 * * [simplify]: iters left: 6 (39 enodes) 74.210 * * [simplify]: iters left: 5 (186 enodes) 74.256 * * [simplify]: Extracting #0: cost 1 inf + 0 74.256 * * [simplify]: Extracting #1: cost 3 inf + 0 74.256 * * [simplify]: Extracting #2: cost 6 inf + 0 74.256 * * [simplify]: Extracting #3: cost 62 inf + 0 74.257 * * [simplify]: Extracting #4: cost 180 inf + 0 74.258 * * [simplify]: Extracting #5: cost 224 inf + 45 74.261 * * [simplify]: Extracting #6: cost 190 inf + 12216 74.276 * * [simplify]: Extracting #7: cost 59 inf + 61800 74.304 * * [simplify]: Extracting #8: cost 6 inf + 77586 74.330 * * [simplify]: Extracting #9: cost 0 inf + 78594 74.344 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (- lambda1 lambda2) (cbrt (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2)))))))) 74.344 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (- lambda1 lambda2) (cbrt (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 74.344 * * * * [progress]: [ 61 / 116 ] simplifiying candidate # 74.345 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 74.345 * * [simplify]: iters left: 6 (33 enodes) 74.353 * * [simplify]: iters left: 5 (150 enodes) 74.394 * * [simplify]: iters left: 4 (416 enodes) 74.601 * * [simplify]: Extracting #0: cost 1 inf + 0 74.601 * * [simplify]: Extracting #1: cost 3 inf + 0 74.601 * * [simplify]: Extracting #2: cost 26 inf + 0 74.602 * * [simplify]: Extracting #3: cost 288 inf + 0 74.604 * * [simplify]: Extracting #4: cost 689 inf + 1274 74.609 * * [simplify]: Extracting #5: cost 639 inf + 25355 74.625 * * [simplify]: Extracting #6: cost 525 inf + 55184 74.649 * * [simplify]: Extracting #7: cost 346 inf + 107948 74.699 * * [simplify]: Extracting #8: cost 99 inf + 212742 74.790 * * [simplify]: Extracting #9: cost 7 inf + 256789 74.862 * * [simplify]: Extracting #10: cost 0 inf + 260004 74.937 * [simplify]: Simplified to (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))))) (+ phi2 phi1)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) 74.937 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))))) (+ phi2 phi1)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 74.938 * * * * [progress]: [ 62 / 116 ] simplifiying candidate # 74.938 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 74.939 * * [simplify]: iters left: 6 (38 enodes) 74.958 * * [simplify]: iters left: 5 (178 enodes) 75.009 * * [simplify]: iters left: 4 (480 enodes) 75.304 * * [simplify]: Extracting #0: cost 1 inf + 0 75.304 * * [simplify]: Extracting #1: cost 3 inf + 0 75.304 * * [simplify]: Extracting #2: cost 24 inf + 0 75.305 * * [simplify]: Extracting #3: cost 360 inf + 0 75.310 * * [simplify]: Extracting #4: cost 790 inf + 580 75.319 * * [simplify]: Extracting #5: cost 871 inf + 10248 75.344 * * [simplify]: Extracting #6: cost 667 inf + 69713 75.396 * * [simplify]: Extracting #7: cost 468 inf + 136392 75.463 * * [simplify]: Extracting #8: cost 114 inf + 303063 75.543 * * [simplify]: Extracting #9: cost 4 inf + 362343 75.645 * * [simplify]: Extracting #10: cost 0 inf + 364923 75.759 * [simplify]: Simplified to (sqrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))) 75.759 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 75.760 * * * * [progress]: [ 63 / 116 ] simplifiying candidate # 75.760 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 75.761 * * [simplify]: iters left: 6 (33 enodes) 75.778 * * [simplify]: iters left: 5 (150 enodes) 75.814 * * [simplify]: iters left: 4 (407 enodes) 76.020 * * [simplify]: Extracting #0: cost 1 inf + 0 76.020 * * [simplify]: Extracting #1: cost 3 inf + 0 76.020 * * [simplify]: Extracting #2: cost 19 inf + 0 76.021 * * [simplify]: Extracting #3: cost 298 inf + 0 76.024 * * [simplify]: Extracting #4: cost 623 inf + 336 76.032 * * [simplify]: Extracting #5: cost 690 inf + 12557 76.050 * * [simplify]: Extracting #6: cost 521 inf + 49582 76.087 * * [simplify]: Extracting #7: cost 343 inf + 102820 76.166 * * [simplify]: Extracting #8: cost 64 inf + 221407 76.232 * * [simplify]: Extracting #9: cost 3 inf + 253071 76.307 * * [simplify]: Extracting #10: cost 0 inf + 255066 76.403 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- phi1 phi2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ phi2 phi1)))))) 76.403 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- phi1 phi2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ phi2 phi1)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) 76.403 * * * * [progress]: [ 64 / 116 ] simplifiying candidate # 76.404 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 76.404 * * [simplify]: iters left: 6 (38 enodes) 76.423 * * [simplify]: iters left: 5 (178 enodes) 76.496 * * [simplify]: iters left: 4 (480 enodes) 76.859 * * [simplify]: Extracting #0: cost 1 inf + 0 76.860 * * [simplify]: Extracting #1: cost 3 inf + 0 76.860 * * [simplify]: Extracting #2: cost 24 inf + 0 76.861 * * [simplify]: Extracting #3: cost 344 inf + 0 76.865 * * [simplify]: Extracting #4: cost 754 inf + 376 76.881 * * [simplify]: Extracting #5: cost 878 inf + 7388 76.905 * * [simplify]: Extracting #6: cost 704 inf + 55554 76.951 * * [simplify]: Extracting #7: cost 471 inf + 134339 77.014 * * [simplify]: Extracting #8: cost 120 inf + 298344 77.105 * * [simplify]: Extracting #9: cost 6 inf + 359057 77.222 * * [simplify]: Extracting #10: cost 0 inf + 363327 77.319 * [simplify]: Simplified to (sqrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))) 77.319 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 77.320 * * * * [progress]: [ 65 / 116 ] simplifiying candidate # 77.320 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 77.320 * * [simplify]: iters left: 6 (33 enodes) 77.329 * * [simplify]: iters left: 5 (150 enodes) 77.370 * * [simplify]: iters left: 4 (407 enodes) 77.576 * * [simplify]: Extracting #0: cost 1 inf + 0 77.576 * * [simplify]: Extracting #1: cost 3 inf + 0 77.576 * * [simplify]: Extracting #2: cost 19 inf + 0 77.577 * * [simplify]: Extracting #3: cost 296 inf + 0 77.581 * * [simplify]: Extracting #4: cost 622 inf + 913 77.592 * * [simplify]: Extracting #5: cost 665 inf + 18648 77.620 * * [simplify]: Extracting #6: cost 509 inf + 52948 77.650 * * [simplify]: Extracting #7: cost 331 inf + 105855 77.706 * * [simplify]: Extracting #8: cost 76 inf + 219274 77.788 * * [simplify]: Extracting #9: cost 1 inf + 256575 77.845 * * [simplify]: Extracting #10: cost 0 inf + 257240 77.931 * [simplify]: Simplified to (sqrt (+ (* (- phi1 phi2) (* (* (+ phi2 phi1) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (- phi1 phi2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ phi2 phi1)))))) 77.931 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- phi1 phi2) (* (* (+ phi2 phi1) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (- phi1 phi2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ phi2 phi1)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) 77.932 * * * * [progress]: [ 66 / 116 ] simplifiying candidate # 77.932 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 77.932 * * [simplify]: iters left: 6 (34 enodes) 77.948 * * [simplify]: iters left: 5 (152 enodes) 77.983 * * [simplify]: iters left: 4 (448 enodes) 78.396 * * [simplify]: Extracting #0: cost 1 inf + 0 78.396 * * [simplify]: Extracting #1: cost 3 inf + 0 78.396 * * [simplify]: Extracting #2: cost 26 inf + 0 78.397 * * [simplify]: Extracting #3: cost 319 inf + 0 78.399 * * [simplify]: Extracting #4: cost 926 inf + 619 78.412 * * [simplify]: Extracting #5: cost 922 inf + 17660 78.429 * * [simplify]: Extracting #6: cost 681 inf + 73894 78.483 * * [simplify]: Extracting #7: cost 268 inf + 243091 78.580 * * [simplify]: Extracting #8: cost 37 inf + 344481 78.674 * * [simplify]: Extracting #9: cost 1 inf + 363334 78.807 * * [simplify]: Extracting #10: cost 0 inf + 364039 78.896 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) 78.896 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (sqrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 78.896 * * * * [progress]: [ 67 / 116 ] simplifiying candidate # 78.896 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 78.897 * * [simplify]: iters left: 6 (35 enodes) 78.912 * * [simplify]: iters left: 5 (161 enodes) 78.981 * * [simplify]: iters left: 4 (481 enodes) 79.335 * * [simplify]: Extracting #0: cost 1 inf + 0 79.335 * * [simplify]: Extracting #1: cost 3 inf + 0 79.335 * * [simplify]: Extracting #2: cost 22 inf + 0 79.336 * * [simplify]: Extracting #3: cost 312 inf + 0 79.338 * * [simplify]: Extracting #4: cost 873 inf + 295 79.345 * * [simplify]: Extracting #5: cost 1005 inf + 14623 79.366 * * [simplify]: Extracting #6: cost 731 inf + 80607 79.434 * * [simplify]: Extracting #7: cost 312 inf + 233867 79.560 * * [simplify]: Extracting #8: cost 53 inf + 343192 79.686 * * [simplify]: Extracting #9: cost 2 inf + 368692 79.780 * * [simplify]: Extracting #10: cost 0 inf + 369902 79.887 * [simplify]: Simplified to (sqrt (+ (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (+ lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (+ phi1 phi2)))) 79.887 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (+ lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (+ phi1 phi2)))) (sqrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 79.887 * * * * [progress]: [ 68 / 116 ] simplifiying candidate # 79.888 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 79.888 * * [simplify]: iters left: 6 (35 enodes) 79.898 * * [simplify]: iters left: 5 (161 enodes) 79.938 * * [simplify]: iters left: 4 (479 enodes) 80.268 * * [simplify]: Extracting #0: cost 1 inf + 0 80.269 * * [simplify]: Extracting #1: cost 3 inf + 0 80.269 * * [simplify]: Extracting #2: cost 26 inf + 0 80.270 * * [simplify]: Extracting #3: cost 360 inf + 0 80.275 * * [simplify]: Extracting #4: cost 913 inf + 868 80.288 * * [simplify]: Extracting #5: cost 909 inf + 22812 80.321 * * [simplify]: Extracting #6: cost 668 inf + 80875 80.358 * * [simplify]: Extracting #7: cost 297 inf + 213232 80.449 * * [simplify]: Extracting #8: cost 46 inf + 320661 80.522 * * [simplify]: Extracting #9: cost 1 inf + 342703 80.633 * * [simplify]: Extracting #10: cost 0 inf + 343408 80.753 * [simplify]: Simplified to (sqrt (+ (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (* (+ lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) 80.753 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (* (+ lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (sqrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 80.753 * * * * [progress]: [ 69 / 116 ] simplifiying candidate # 80.753 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 80.753 * * [simplify]: iters left: 6 (28 enodes) 80.760 * * [simplify]: iters left: 5 (120 enodes) 80.797 * * [simplify]: iters left: 4 (351 enodes) 81.019 * * [simplify]: Extracting #0: cost 1 inf + 0 81.019 * * [simplify]: Extracting #1: cost 3 inf + 0 81.019 * * [simplify]: Extracting #2: cost 22 inf + 0 81.019 * * [simplify]: Extracting #3: cost 250 inf + 0 81.021 * * [simplify]: Extracting #4: cost 678 inf + 375 81.027 * * [simplify]: Extracting #5: cost 622 inf + 19804 81.038 * * [simplify]: Extracting #6: cost 464 inf + 51451 81.070 * * [simplify]: Extracting #7: cost 196 inf + 134002 81.131 * * [simplify]: Extracting #8: cost 42 inf + 194479 81.184 * * [simplify]: Extracting #9: cost 0 inf + 213846 81.236 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) 81.236 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (sqrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) 81.237 * * * * [progress]: [ 70 / 116 ] simplifiying candidate # 81.237 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 81.237 * * [simplify]: iters left: 6 (34 enodes) 81.252 * * [simplify]: iters left: 5 (153 enodes) 81.286 * * [simplify]: iters left: 4 (422 enodes) 81.583 * * [simplify]: Extracting #0: cost 1 inf + 0 81.584 * * [simplify]: Extracting #1: cost 3 inf + 0 81.584 * * [simplify]: Extracting #2: cost 21 inf + 0 81.585 * * [simplify]: Extracting #3: cost 352 inf + 0 81.589 * * [simplify]: Extracting #4: cost 816 inf + 500 81.600 * * [simplify]: Extracting #5: cost 819 inf + 19375 81.624 * * [simplify]: Extracting #6: cost 622 inf + 66217 81.661 * * [simplify]: Extracting #7: cost 274 inf + 190058 81.759 * * [simplify]: Extracting #8: cost 36 inf + 293704 81.830 * * [simplify]: Extracting #9: cost 0 inf + 310920 81.910 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (- phi1 phi2))))) 81.910 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (- phi1 phi2))))) (sqrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 81.910 * * * * [progress]: [ 71 / 116 ] simplifiying candidate # 81.911 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 81.911 * * [simplify]: iters left: 6 (28 enodes) 81.924 * * [simplify]: iters left: 5 (120 enodes) 81.950 * * [simplify]: iters left: 4 (342 enodes) 82.111 * * [simplify]: Extracting #0: cost 1 inf + 0 82.111 * * [simplify]: Extracting #1: cost 3 inf + 0 82.111 * * [simplify]: Extracting #2: cost 17 inf + 0 82.111 * * [simplify]: Extracting #3: cost 277 inf + 0 82.113 * * [simplify]: Extracting #4: cost 623 inf + 669 82.119 * * [simplify]: Extracting #5: cost 622 inf + 14583 82.129 * * [simplify]: Extracting #6: cost 454 inf + 44361 82.153 * * [simplify]: Extracting #7: cost 178 inf + 133024 82.213 * * [simplify]: Extracting #8: cost 22 inf + 193800 82.264 * * [simplify]: Extracting #9: cost 0 inf + 202823 82.324 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (+ phi1 phi2)) (* (* (* (+ lambda1 lambda2) (- phi1 phi2)) (- phi1 phi2)) (+ phi1 phi2)))) 82.324 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (+ phi1 phi2)) (* (* (* (+ lambda1 lambda2) (- phi1 phi2)) (- phi1 phi2)) (+ phi1 phi2)))) (sqrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) 82.325 * * * * [progress]: [ 72 / 116 ] simplifiying candidate # 82.325 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 82.325 * * [simplify]: iters left: 6 (34 enodes) 82.343 * * [simplify]: iters left: 5 (153 enodes) 82.393 * * [simplify]: iters left: 4 (422 enodes) 82.612 * * [simplify]: Extracting #0: cost 1 inf + 0 82.613 * * [simplify]: Extracting #1: cost 3 inf + 0 82.613 * * [simplify]: Extracting #2: cost 21 inf + 0 82.614 * * [simplify]: Extracting #3: cost 336 inf + 0 82.618 * * [simplify]: Extracting #4: cost 776 inf + 747 82.628 * * [simplify]: Extracting #5: cost 847 inf + 11627 82.654 * * [simplify]: Extracting #6: cost 670 inf + 47451 82.713 * * [simplify]: Extracting #7: cost 307 inf + 172568 82.777 * * [simplify]: Extracting #8: cost 55 inf + 281729 82.837 * * [simplify]: Extracting #9: cost 0 inf + 309164 82.917 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))))) 82.917 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))))) (sqrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 82.917 * * * * [progress]: [ 73 / 116 ] simplifiying candidate # 82.917 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 82.918 * * [simplify]: iters left: 6 (28 enodes) 82.929 * * [simplify]: iters left: 5 (120 enodes) 82.970 * * [simplify]: iters left: 4 (342 enodes) 83.193 * * [simplify]: Extracting #0: cost 1 inf + 0 83.193 * * [simplify]: Extracting #1: cost 3 inf + 0 83.193 * * [simplify]: Extracting #2: cost 17 inf + 0 83.193 * * [simplify]: Extracting #3: cost 273 inf + 0 83.195 * * [simplify]: Extracting #4: cost 615 inf + 1364 83.201 * * [simplify]: Extracting #5: cost 610 inf + 17308 83.210 * * [simplify]: Extracting #6: cost 463 inf + 43432 83.255 * * [simplify]: Extracting #7: cost 192 inf + 128885 83.326 * * [simplify]: Extracting #8: cost 13 inf + 197660 83.370 * * [simplify]: Extracting #9: cost 0 inf + 202901 83.422 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (+ phi1 phi2)) (* (* (* (+ lambda1 lambda2) (- phi1 phi2)) (- phi1 phi2)) (+ phi1 phi2)))) 83.422 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (+ phi1 phi2)) (* (* (* (+ lambda1 lambda2) (- phi1 phi2)) (- phi1 phi2)) (+ phi1 phi2)))) (sqrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) 83.422 * * * * [progress]: [ 74 / 116 ] simplifiying candidate # 83.422 * [simplify]: Simplifying (sqrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) 3) (pow (* (- phi1 phi2) (- phi1 phi2)) 3))) 83.423 * * [simplify]: iters left: 6 (22 enodes) 83.428 * * [simplify]: iters left: 5 (99 enodes) 83.455 * * [simplify]: iters left: 4 (276 enodes) 83.612 * * [simplify]: Extracting #0: cost 1 inf + 0 83.612 * * [simplify]: Extracting #1: cost 3 inf + 0 83.612 * * [simplify]: Extracting #2: cost 6 inf + 0 83.612 * * [simplify]: Extracting #3: cost 75 inf + 0 83.613 * * [simplify]: Extracting #4: cost 330 inf + 2 83.615 * * [simplify]: Extracting #5: cost 374 inf + 1719 83.620 * * [simplify]: Extracting #6: cost 245 inf + 34533 83.649 * * [simplify]: Extracting #7: cost 61 inf + 98151 83.681 * * [simplify]: Extracting #8: cost 3 inf + 122600 83.707 * * [simplify]: Extracting #9: cost 0 inf + 123482 83.745 * [simplify]: Simplified to (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (- phi1 phi2))))) 83.745 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))))) (- (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))))) 83.746 * * * * [progress]: [ 75 / 116 ] simplifiying candidate # 83.746 * [simplify]: Simplifying (sqrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) 83.746 * * [simplify]: iters left: 6 (21 enodes) 83.751 * * [simplify]: iters left: 5 (94 enodes) 83.781 * * [simplify]: iters left: 4 (279 enodes) 83.933 * * [simplify]: Extracting #0: cost 1 inf + 0 83.933 * * [simplify]: Extracting #1: cost 3 inf + 0 83.933 * * [simplify]: Extracting #2: cost 23 inf + 0 83.934 * * [simplify]: Extracting #3: cost 98 inf + 0 83.935 * * [simplify]: Extracting #4: cost 314 inf + 1 83.938 * * [simplify]: Extracting #5: cost 337 inf + 1490 83.943 * * [simplify]: Extracting #6: cost 287 inf + 9946 83.955 * * [simplify]: Extracting #7: cost 104 inf + 62065 83.983 * * [simplify]: Extracting #8: cost 6 inf + 99294 84.005 * * [simplify]: Extracting #9: cost 0 inf + 101604 84.038 * [simplify]: Simplified to (sqrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) 84.038 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (- (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))) 84.039 * * * * [progress]: [ 76 / 116 ] simplifiying candidate # 84.039 * [simplify]: Simplifying (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))) 84.039 * * [simplify]: iters left: 6 (18 enodes) 84.043 * * [simplify]: iters left: 5 (70 enodes) 84.054 * * [simplify]: iters left: 4 (141 enodes) 84.105 * * [simplify]: iters left: 3 (366 enodes) 84.337 * * [simplify]: Extracting #0: cost 1 inf + 0 84.338 * * [simplify]: Extracting #1: cost 18 inf + 0 84.338 * * [simplify]: Extracting #2: cost 135 inf + 0 84.339 * * [simplify]: Extracting #3: cost 300 inf + 85 84.340 * * [simplify]: Extracting #4: cost 297 inf + 1199 84.343 * * [simplify]: Extracting #5: cost 249 inf + 9698 84.358 * * [simplify]: Extracting #6: cost 139 inf + 44224 84.395 * * [simplify]: Extracting #7: cost 23 inf + 89744 84.437 * * [simplify]: Extracting #8: cost 0 inf + 100135 84.479 * [simplify]: Simplified to (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) 84.479 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (pow (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (/ 1 2)))) 84.480 * * * * [progress]: [ 77 / 116 ] simplifiying candidate # 84.480 * * * * [progress]: [ 78 / 116 ] simplifiying candidate # 84.480 * [simplify]: Simplifying (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))) 84.480 * * [simplify]: iters left: 6 (19 enodes) 84.491 * * [simplify]: iters left: 5 (73 enodes) 84.514 * * [simplify]: iters left: 4 (144 enodes) 84.554 * * [simplify]: iters left: 3 (364 enodes) 84.774 * * [simplify]: Extracting #0: cost 1 inf + 0 84.774 * * [simplify]: Extracting #1: cost 3 inf + 0 84.774 * * [simplify]: Extracting #2: cost 20 inf + 0 84.775 * * [simplify]: Extracting #3: cost 138 inf + 0 84.777 * * [simplify]: Extracting #4: cost 311 inf + 128 84.779 * * [simplify]: Extracting #5: cost 305 inf + 1568 84.784 * * [simplify]: Extracting #6: cost 260 inf + 10168 84.801 * * [simplify]: Extracting #7: cost 153 inf + 43809 84.839 * * [simplify]: Extracting #8: cost 10 inf + 100327 84.862 * * [simplify]: Extracting #9: cost 0 inf + 104052 84.886 * [simplify]: Simplified to (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) 84.886 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (fabs (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) 84.886 * * * * [progress]: [ 79 / 116 ] simplifiying candidate # 84.886 * * * * [progress]: [ 80 / 116 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))))> 84.887 * * * * [progress]: [ 81 / 116 ] simplifiying candidate # 84.887 * * * * [progress]: [ 82 / 116 ] simplifiying candidate # 84.887 * * * * [progress]: [ 83 / 116 ] simplifiying candidate # 84.887 * * * * [progress]: [ 84 / 116 ] simplifiying candidate # 84.887 * * * * [progress]: [ 85 / 116 ] simplifiying candidate # 84.887 * * * * [progress]: [ 86 / 116 ] simplifiying candidate # 84.887 * * * * [progress]: [ 87 / 116 ] simplifiying candidate # 84.887 * * * * [progress]: [ 88 / 116 ] simplifiying candidate #real (real->posit16 (cos (/ (+ phi1 phi2) 2)))))))) (* (- phi1 phi2) (- phi1 phi2))))))> 84.887 * * * * [progress]: [ 89 / 116 ] simplifiying candidate # 84.887 * * * * [progress]: [ 90 / 116 ] simplifiying candidate # 84.887 * * * * [progress]: [ 91 / 116 ] simplifiying candidate # 84.887 * * * * [progress]: [ 92 / 116 ] simplifiying candidate # 84.887 * * * * [progress]: [ 93 / 116 ] simplifiying candidate # 84.887 * * * * [progress]: [ 94 / 116 ] simplifiying candidate # 84.887 * * * * [progress]: [ 95 / 116 ] simplifiying candidate # 84.887 * * * * [progress]: [ 96 / 116 ] simplifiying candidate #real (real->posit16 (cos (/ (+ phi1 phi2) 2)))))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))> 84.887 * * * * [progress]: [ 97 / 116 ] simplifiying candidate # 84.887 * * * * [progress]: [ 98 / 116 ] simplifiying candidate # 84.887 * * * * [progress]: [ 99 / 116 ] simplifiying candidate # 84.887 * * * * [progress]: [ 100 / 116 ] simplifiying candidate # 84.887 * * * * [progress]: [ 101 / 116 ] simplifiying candidate # 84.888 * * * * [progress]: [ 102 / 116 ] simplifiying candidate # 84.888 * * * * [progress]: [ 103 / 116 ] simplifiying candidate # 84.888 * * * * [progress]: [ 104 / 116 ] simplifiying candidate #real (real->posit16 (cos (/ (+ phi1 phi2) 2))))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))> 84.888 * * * * [progress]: [ 105 / 116 ] simplifiying candidate # 84.888 * [simplify]: Simplifying (- phi2 phi1) 84.888 * * [simplify]: iters left: 2 (3 enodes) 84.889 * * [simplify]: iters left: 1 (11 enodes) 84.890 * * [simplify]: Extracting #0: cost 1 inf + 0 84.890 * * [simplify]: Extracting #1: cost 5 inf + 0 84.890 * * [simplify]: Extracting #2: cost 3 inf + 43 84.890 * * [simplify]: Extracting #3: cost 0 inf + 168 84.890 * [simplify]: Simplified to (- phi2 phi1) 84.890 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- phi2 phi1))) 84.890 * * * * [progress]: [ 106 / 116 ] simplifiying candidate # 84.890 * [simplify]: Simplifying (- (+ (/ (* lambda2 (* phi1 phi2)) (* (cos (* 1/2 (+ phi1 phi2))) (pow lambda1 2))) (+ (/ (* phi1 phi2) (* (cos (* 1/2 (+ phi1 phi2))) lambda1)) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))) 84.890 * * [simplify]: iters left: 6 (20 enodes) 84.896 * * [simplify]: iters left: 5 (101 enodes) 84.913 * * [simplify]: iters left: 4 (236 enodes) 84.980 * * [simplify]: Extracting #0: cost 1 inf + 0 84.980 * * [simplify]: Extracting #1: cost 17 inf + 0 84.980 * * [simplify]: Extracting #2: cost 108 inf + 0 84.981 * * [simplify]: Extracting #3: cost 193 inf + 1478 84.982 * * [simplify]: Extracting #4: cost 170 inf + 5958 84.986 * * [simplify]: Extracting #5: cost 99 inf + 20187 84.995 * * [simplify]: Extracting #6: cost 5 inf + 47270 85.015 * * [simplify]: Extracting #7: cost 0 inf + 49274 85.035 * [simplify]: Simplified to (- (+ (* (/ phi2 (cos (* 1/2 (+ phi1 phi2)))) (+ (/ phi1 lambda1) (/ (* lambda2 phi1) (* lambda1 lambda1)))) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) 85.035 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- (+ (* (/ phi2 (cos (* 1/2 (+ phi1 phi2)))) (+ (/ phi1 lambda1) (/ (* lambda2 phi1) (* lambda1 lambda1)))) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))))) 85.036 * * * * [progress]: [ 107 / 116 ] simplifiying candidate # 85.036 * [simplify]: Simplifying (+ (/ (* lambda2 (* phi1 phi2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2))))) (+ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) (/ (* phi1 phi2) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))))) 85.036 * * [simplify]: iters left: 6 (19 enodes) 85.046 * * [simplify]: iters left: 5 (95 enodes) 85.083 * * [simplify]: iters left: 4 (213 enodes) 85.163 * * [simplify]: Extracting #0: cost 1 inf + 0 85.164 * * [simplify]: Extracting #1: cost 8 inf + 0 85.164 * * [simplify]: Extracting #2: cost 96 inf + 0 85.164 * * [simplify]: Extracting #3: cost 156 inf + 460 85.166 * * [simplify]: Extracting #4: cost 113 inf + 5242 85.168 * * [simplify]: Extracting #5: cost 93 inf + 7303 85.171 * * [simplify]: Extracting #6: cost 32 inf + 21983 85.180 * * [simplify]: Extracting #7: cost 1 inf + 30137 85.187 * * [simplify]: Extracting #8: cost 0 inf + 30482 85.194 * [simplify]: Simplified to (+ (* (cos (* (+ phi1 phi2) 1/2)) lambda2) (* (/ phi2 (cos (* (+ phi1 phi2) 1/2))) (+ (/ phi1 lambda1) (/ (* lambda2 phi1) (* lambda1 lambda1))))) 85.194 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (+ (* (cos (* (+ phi1 phi2) 1/2)) lambda2) (* (/ phi2 (cos (* (+ phi1 phi2) 1/2))) (+ (/ phi1 lambda1) (/ (* lambda2 phi1) (* lambda1 lambda1))))))) 85.194 * * * * [progress]: [ 108 / 116 ] simplifiying candidate # 85.194 * [simplify]: Simplifying (- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi1 2)))) 85.194 * * [simplify]: iters left: 6 (12 enodes) 85.198 * * [simplify]: iters left: 5 (52 enodes) 85.208 * * [simplify]: iters left: 4 (79 enodes) 85.223 * * [simplify]: iters left: 3 (149 enodes) 85.263 * * [simplify]: iters left: 2 (242 enodes) 85.316 * * [simplify]: iters left: 1 (300 enodes) 85.403 * * [simplify]: Extracting #0: cost 1 inf + 0 85.403 * * [simplify]: Extracting #1: cost 19 inf + 0 85.403 * * [simplify]: Extracting #2: cost 52 inf + 2 85.404 * * [simplify]: Extracting #3: cost 51 inf + 1156 85.406 * * [simplify]: Extracting #4: cost 13 inf + 4737 85.410 * * [simplify]: Extracting #5: cost 0 inf + 6466 85.414 * * [simplify]: Extracting #6: cost 0 inf + 6426 85.417 * [simplify]: Simplified to (- 1 (* phi1 (- (* phi2 1/4) (* phi1 -1/8)))) 85.418 * [simplify]: Simplified (2 2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (- 1 (* phi1 (- (* phi2 1/4) (* phi1 -1/8)))))))) (* (- phi1 phi2) (- phi1 phi2)))))) 85.418 * * * * [progress]: [ 109 / 116 ] simplifiying candidate # 85.418 * [simplify]: Simplifying (cos (* 1/2 (+ phi1 phi2))) 85.418 * * [simplify]: iters left: 5 (6 enodes) 85.421 * * [simplify]: iters left: 4 (26 enodes) 85.429 * * [simplify]: iters left: 3 (36 enodes) 85.438 * * [simplify]: Extracting #0: cost 1 inf + 0 85.438 * * [simplify]: Extracting #1: cost 3 inf + 0 85.438 * * [simplify]: Extracting #2: cost 8 inf + 0 85.438 * * [simplify]: Extracting #3: cost 12 inf + 1 85.438 * * [simplify]: Extracting #4: cost 7 inf + 129 85.438 * * [simplify]: Extracting #5: cost 1 inf + 564 85.439 * * [simplify]: Extracting #6: cost 0 inf + 707 85.439 * [simplify]: Simplified to (cos (* (+ phi1 phi2) 1/2)) 85.439 * [simplify]: Simplified (2 2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (* (+ phi1 phi2) 1/2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) 85.439 * * * * [progress]: [ 110 / 116 ] simplifiying candidate # 85.440 * [simplify]: Simplifying (cos (* 1/2 (+ phi1 phi2))) 85.440 * * [simplify]: iters left: 5 (6 enodes) 85.443 * * [simplify]: iters left: 4 (26 enodes) 85.451 * * [simplify]: iters left: 3 (36 enodes) 85.459 * * [simplify]: Extracting #0: cost 1 inf + 0 85.459 * * [simplify]: Extracting #1: cost 3 inf + 0 85.459 * * [simplify]: Extracting #2: cost 8 inf + 0 85.459 * * [simplify]: Extracting #3: cost 12 inf + 1 85.459 * * [simplify]: Extracting #4: cost 7 inf + 129 85.460 * * [simplify]: Extracting #5: cost 1 inf + 564 85.460 * * [simplify]: Extracting #6: cost 0 inf + 707 85.460 * [simplify]: Simplified to (cos (* (+ phi1 phi2) 1/2)) 85.460 * [simplify]: Simplified (2 2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (* (+ phi1 phi2) 1/2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) 85.461 * * * * [progress]: [ 111 / 116 ] simplifiying candidate # 85.461 * [simplify]: Simplifying (- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi1 2)))) 85.461 * * [simplify]: iters left: 6 (12 enodes) 85.468 * * [simplify]: iters left: 5 (52 enodes) 85.485 * * [simplify]: iters left: 4 (79 enodes) 85.503 * * [simplify]: iters left: 3 (149 enodes) 85.537 * * [simplify]: iters left: 2 (242 enodes) 85.593 * * [simplify]: iters left: 1 (300 enodes) 85.647 * * [simplify]: Extracting #0: cost 1 inf + 0 85.647 * * [simplify]: Extracting #1: cost 19 inf + 0 85.647 * * [simplify]: Extracting #2: cost 52 inf + 2 85.648 * * [simplify]: Extracting #3: cost 51 inf + 1156 85.649 * * [simplify]: Extracting #4: cost 13 inf + 4737 85.651 * * [simplify]: Extracting #5: cost 0 inf + 6466 85.653 * * [simplify]: Extracting #6: cost 0 inf + 6426 85.655 * [simplify]: Simplified to (- 1 (* phi1 (- (* phi2 1/4) (* phi1 -1/8)))) 85.655 * [simplify]: Simplified (2 2 1 1 2 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (- 1 (* phi1 (- (* phi2 1/4) (* phi1 -1/8)))))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) 85.655 * * * * [progress]: [ 112 / 116 ] simplifiying candidate # 85.655 * [simplify]: Simplifying (cos (* 1/2 (+ phi1 phi2))) 85.655 * * [simplify]: iters left: 5 (6 enodes) 85.657 * * [simplify]: iters left: 4 (26 enodes) 85.665 * * [simplify]: iters left: 3 (36 enodes) 85.674 * * [simplify]: Extracting #0: cost 1 inf + 0 85.674 * * [simplify]: Extracting #1: cost 3 inf + 0 85.674 * * [simplify]: Extracting #2: cost 8 inf + 0 85.674 * * [simplify]: Extracting #3: cost 12 inf + 1 85.674 * * [simplify]: Extracting #4: cost 7 inf + 129 85.674 * * [simplify]: Extracting #5: cost 1 inf + 564 85.675 * * [simplify]: Extracting #6: cost 0 inf + 707 85.675 * [simplify]: Simplified to (cos (* (+ phi1 phi2) 1/2)) 85.675 * [simplify]: Simplified (2 2 1 1 2 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (* (+ phi1 phi2) 1/2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) 85.676 * * * * [progress]: [ 113 / 116 ] simplifiying candidate # 85.676 * [simplify]: Simplifying (cos (* 1/2 (+ phi1 phi2))) 85.676 * * [simplify]: iters left: 5 (6 enodes) 85.679 * * [simplify]: iters left: 4 (26 enodes) 85.686 * * [simplify]: iters left: 3 (36 enodes) 85.691 * * [simplify]: Extracting #0: cost 1 inf + 0 85.691 * * [simplify]: Extracting #1: cost 3 inf + 0 85.691 * * [simplify]: Extracting #2: cost 8 inf + 0 85.691 * * [simplify]: Extracting #3: cost 12 inf + 1 85.691 * * [simplify]: Extracting #4: cost 7 inf + 129 85.691 * * [simplify]: Extracting #5: cost 1 inf + 564 85.691 * * [simplify]: Extracting #6: cost 0 inf + 707 85.691 * [simplify]: Simplified to (cos (* (+ phi1 phi2) 1/2)) 85.691 * [simplify]: Simplified (2 2 1 1 2 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (* (+ phi1 phi2) 1/2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) 85.691 * * * * [progress]: [ 114 / 116 ] simplifiying candidate # 85.692 * [simplify]: Simplifying (- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi1 2)))) 85.692 * * [simplify]: iters left: 6 (12 enodes) 85.696 * * [simplify]: iters left: 5 (52 enodes) 85.706 * * [simplify]: iters left: 4 (79 enodes) 85.731 * * [simplify]: iters left: 3 (149 enodes) 85.782 * * [simplify]: iters left: 2 (242 enodes) 85.860 * * [simplify]: iters left: 1 (300 enodes) 85.922 * * [simplify]: Extracting #0: cost 1 inf + 0 85.922 * * [simplify]: Extracting #1: cost 19 inf + 0 85.922 * * [simplify]: Extracting #2: cost 52 inf + 2 85.922 * * [simplify]: Extracting #3: cost 51 inf + 1156 85.924 * * [simplify]: Extracting #4: cost 13 inf + 4737 85.926 * * [simplify]: Extracting #5: cost 0 inf + 6466 85.928 * * [simplify]: Extracting #6: cost 0 inf + 6426 85.929 * [simplify]: Simplified to (- 1 (* phi1 (- (* phi2 1/4) (* phi1 -1/8)))) 85.930 * [simplify]: Simplified (2 2 1 1 2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (* (cbrt (- 1 (* phi1 (- (* phi2 1/4) (* phi1 -1/8))))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) 85.930 * * * * [progress]: [ 115 / 116 ] simplifiying candidate # 85.930 * [simplify]: Simplifying (cos (* 1/2 (+ phi1 phi2))) 85.930 * * [simplify]: iters left: 5 (6 enodes) 85.932 * * [simplify]: iters left: 4 (26 enodes) 85.936 * * [simplify]: iters left: 3 (36 enodes) 85.940 * * [simplify]: Extracting #0: cost 1 inf + 0 85.940 * * [simplify]: Extracting #1: cost 3 inf + 0 85.940 * * [simplify]: Extracting #2: cost 8 inf + 0 85.941 * * [simplify]: Extracting #3: cost 12 inf + 1 85.941 * * [simplify]: Extracting #4: cost 7 inf + 129 85.941 * * [simplify]: Extracting #5: cost 1 inf + 564 85.941 * * [simplify]: Extracting #6: cost 0 inf + 707 85.941 * [simplify]: Simplified to (cos (* (+ phi1 phi2) 1/2)) 85.941 * [simplify]: Simplified (2 2 1 1 2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (* (cbrt (cos (* (+ phi1 phi2) 1/2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) 85.941 * * * * [progress]: [ 116 / 116 ] simplifiying candidate # 85.942 * [simplify]: Simplifying (cos (* 1/2 (+ phi1 phi2))) 85.942 * * [simplify]: iters left: 5 (6 enodes) 85.943 * * [simplify]: iters left: 4 (26 enodes) 85.948 * * [simplify]: iters left: 3 (36 enodes) 85.952 * * [simplify]: Extracting #0: cost 1 inf + 0 85.952 * * [simplify]: Extracting #1: cost 3 inf + 0 85.952 * * [simplify]: Extracting #2: cost 8 inf + 0 85.952 * * [simplify]: Extracting #3: cost 12 inf + 1 85.952 * * [simplify]: Extracting #4: cost 7 inf + 129 85.952 * * [simplify]: Extracting #5: cost 1 inf + 564 85.952 * * [simplify]: Extracting #6: cost 0 inf + 707 85.952 * [simplify]: Simplified to (cos (* (+ phi1 phi2) 1/2)) 85.952 * [simplify]: Simplified (2 2 1 1 2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (* (cbrt (cos (* (+ phi1 phi2) 1/2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) 85.953 * * * [progress]: adding candidates to table 88.545 * * [progress]: iteration 3 / 4 88.545 * * * [progress]: picking best candidate 88.599 * * * * [pick]: Picked # 88.599 * * * [progress]: localizing error 88.670 * * * [progress]: generating rewritten candidates 88.670 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 89.109 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2) 89.163 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 2) 89.252 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 1) 90.937 * * * [progress]: generating series expansions 90.937 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 90.939 * [backup-simplify]: Simplify (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))) into (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) 90.939 * [approximate]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in (lambda1 lambda2 phi1 phi2) around 0 90.939 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in phi2 90.939 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in phi2 90.939 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in phi2 90.939 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in phi2 90.939 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 90.939 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 90.939 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 90.939 * [taylor]: Taking taylor expansion of 1/2 in phi2 90.940 * [backup-simplify]: Simplify 1/2 into 1/2 90.940 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 90.940 * [taylor]: Taking taylor expansion of phi1 in phi2 90.940 * [backup-simplify]: Simplify phi1 into phi1 90.940 * [taylor]: Taking taylor expansion of phi2 in phi2 90.940 * [backup-simplify]: Simplify 0 into 0 90.940 * [backup-simplify]: Simplify 1 into 1 90.940 * [backup-simplify]: Simplify (+ phi1 0) into phi1 90.940 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 90.940 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 90.940 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 90.940 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 90.940 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0 90.941 * [backup-simplify]: Simplify (- 0) into 0 90.941 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 90.941 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi2 90.941 * [taylor]: Taking taylor expansion of lambda1 in phi2 90.941 * [backup-simplify]: Simplify lambda1 into lambda1 90.941 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in phi2 90.941 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2 90.941 * [taylor]: Taking taylor expansion of phi2 in phi2 90.941 * [backup-simplify]: Simplify 0 into 0 90.941 * [backup-simplify]: Simplify 1 into 1 90.941 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in phi2 90.941 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi2 90.941 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi2 90.941 * [taylor]: Taking taylor expansion of lambda2 in phi2 90.941 * [backup-simplify]: Simplify lambda2 into lambda2 90.941 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 90.941 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 90.941 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 90.941 * [taylor]: Taking taylor expansion of 1/2 in phi2 90.941 * [backup-simplify]: Simplify 1/2 into 1/2 90.941 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 90.941 * [taylor]: Taking taylor expansion of phi1 in phi2 90.941 * [backup-simplify]: Simplify phi1 into phi1 90.941 * [taylor]: Taking taylor expansion of phi2 in phi2 90.941 * [backup-simplify]: Simplify 0 into 0 90.942 * [backup-simplify]: Simplify 1 into 1 90.942 * [backup-simplify]: Simplify (+ phi1 0) into phi1 90.942 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 90.942 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 90.942 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 90.942 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 90.942 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0 90.942 * [backup-simplify]: Simplify (- 0) into 0 90.942 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 90.942 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi2 90.942 * [taylor]: Taking taylor expansion of phi1 in phi2 90.943 * [backup-simplify]: Simplify phi1 into phi1 90.943 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in phi2 90.943 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi2 90.943 * [taylor]: Taking taylor expansion of 2 in phi2 90.943 * [backup-simplify]: Simplify 2 into 2 90.943 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi2 90.943 * [taylor]: Taking taylor expansion of phi1 in phi2 90.943 * [backup-simplify]: Simplify phi1 into phi1 90.943 * [taylor]: Taking taylor expansion of phi2 in phi2 90.943 * [backup-simplify]: Simplify 0 into 0 90.943 * [backup-simplify]: Simplify 1 into 1 90.943 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in phi2 90.943 * [taylor]: Taking taylor expansion of 2 in phi2 90.943 * [backup-simplify]: Simplify 2 into 2 90.943 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in phi2 90.943 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 90.943 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 90.943 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 90.943 * [taylor]: Taking taylor expansion of 1/2 in phi2 90.943 * [backup-simplify]: Simplify 1/2 into 1/2 90.943 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 90.943 * [taylor]: Taking taylor expansion of phi1 in phi2 90.943 * [backup-simplify]: Simplify phi1 into phi1 90.943 * [taylor]: Taking taylor expansion of phi2 in phi2 90.943 * [backup-simplify]: Simplify 0 into 0 90.943 * [backup-simplify]: Simplify 1 into 1 90.943 * [backup-simplify]: Simplify (+ phi1 0) into phi1 90.943 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 90.943 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 90.943 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 90.943 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 90.943 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0 90.944 * [backup-simplify]: Simplify (- 0) into 0 90.944 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 90.944 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi2 90.944 * [taylor]: Taking taylor expansion of lambda2 in phi2 90.944 * [backup-simplify]: Simplify lambda2 into lambda2 90.944 * [taylor]: Taking taylor expansion of lambda1 in phi2 90.944 * [backup-simplify]: Simplify lambda1 into lambda1 90.944 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2) 90.944 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 90.945 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) into (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) 90.945 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 90.945 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2) 90.945 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) 90.945 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 90.945 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) 90.945 * [backup-simplify]: Simplify (+ 0 (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) 90.946 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) 90.946 * [backup-simplify]: Simplify (* phi1 0) into 0 90.946 * [backup-simplify]: Simplify (* 2 0) into 0 90.947 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2) 90.947 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 90.947 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi1)) 2) (* lambda2 lambda1)) into (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)) 90.947 * [backup-simplify]: Simplify (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))) into (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))) 90.947 * [backup-simplify]: Simplify (+ 0 (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) into (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))) 90.948 * [backup-simplify]: Simplify (- (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) into (- (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) 90.948 * [backup-simplify]: Simplify (+ (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (- (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))) into (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) 90.949 * [backup-simplify]: Simplify (sqrt (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))) into (sqrt (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))) 90.949 * [backup-simplify]: Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0 90.950 * [backup-simplify]: Simplify (+ 0) into 0 90.951 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0 90.951 * [backup-simplify]: Simplify (+ 0 1) into 1 90.951 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi1)) into 1/2 90.952 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 90.953 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1))) 90.953 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1)))) 90.953 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1)))) 90.953 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) (- (* 1/2 (sin (* 1/2 phi1))))) (* (- (* 1/2 (sin (* 1/2 phi1)))) (cos (* 1/2 phi1)))) into (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) 90.954 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi1)) 2) 0) (* (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) (pow lambda1 2))) into (- (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2)))) 90.954 * [backup-simplify]: Simplify (+ 0) into 0 90.955 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0 90.955 * [backup-simplify]: Simplify (+ 0 1) into 1 90.956 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi1)) into 1/2 90.957 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 90.957 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1))) 90.957 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1)))) 90.957 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1)))) 90.958 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) (- (* 1/2 (sin (* 1/2 phi1))))) (* (- (* 1/2 (sin (* 1/2 phi1)))) (cos (* 1/2 phi1)))) into (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) 90.958 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 90.958 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) (* 0 (pow (cos (* 1/2 phi1)) 2))) into (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) 90.958 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 90.959 * [backup-simplify]: Simplify (+ (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) 0) into (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) 90.959 * [backup-simplify]: Simplify (+ 0 (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))) into (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) 90.959 * [backup-simplify]: Simplify (+ (- (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2)))) (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))) into (- (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))) 90.960 * [backup-simplify]: Simplify (+ (* phi1 1) (* 0 0)) into phi1 90.960 * [backup-simplify]: Simplify (+ (* 2 phi1) (* 0 0)) into (* 2 phi1) 90.960 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda1)) into 0 90.961 * [backup-simplify]: Simplify (+ 0) into 0 90.961 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0 90.962 * [backup-simplify]: Simplify (+ 0 1) into 1 90.962 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi1)) into 1/2 90.963 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 90.963 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1))) 90.964 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1)))) 90.964 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1)))) 90.964 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) (- (* 1/2 (sin (* 1/2 phi1))))) (* (- (* 1/2 (sin (* 1/2 phi1)))) (cos (* 1/2 phi1)))) into (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) 90.964 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi1)) 2) 0) (* (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) (* lambda2 lambda1))) into (- (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) 90.965 * [backup-simplify]: Simplify (+ (* 2 (- (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1))))) (* 0 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) into (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1))))) 90.965 * [backup-simplify]: Simplify (+ (* 2 phi1) (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))))) into (- (* 2 phi1) (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1))))) 90.966 * [backup-simplify]: Simplify (- (- (* 2 phi1) (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))))) into (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (* 2 phi1)) 90.967 * [backup-simplify]: Simplify (+ (- (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))) (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (* 2 phi1))) into (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (+ (* 2 phi1) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))))) 90.969 * [backup-simplify]: Simplify (/ (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (+ (* 2 phi1) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))))) (* 2 (sqrt (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))))) into (* 1/2 (* (sqrt (/ 1 (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))))) (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (+ (* 2 phi1) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))))))) 90.969 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in phi1 90.969 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in phi1 90.969 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in phi1 90.969 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in phi1 90.969 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 90.969 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 90.969 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 90.969 * [taylor]: Taking taylor expansion of 1/2 in phi1 90.969 * [backup-simplify]: Simplify 1/2 into 1/2 90.969 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 90.969 * [taylor]: Taking taylor expansion of phi1 in phi1 90.969 * [backup-simplify]: Simplify 0 into 0 90.969 * [backup-simplify]: Simplify 1 into 1 90.969 * [taylor]: Taking taylor expansion of phi2 in phi1 90.969 * [backup-simplify]: Simplify phi2 into phi2 90.969 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 90.969 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 90.970 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 90.970 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 90.970 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 90.970 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 90.970 * [backup-simplify]: Simplify (- 0) into 0 90.970 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 90.970 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi1 90.971 * [taylor]: Taking taylor expansion of lambda1 in phi1 90.971 * [backup-simplify]: Simplify lambda1 into lambda1 90.971 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in phi1 90.971 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 90.971 * [taylor]: Taking taylor expansion of phi2 in phi1 90.971 * [backup-simplify]: Simplify phi2 into phi2 90.971 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in phi1 90.971 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 90.971 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi1 90.971 * [taylor]: Taking taylor expansion of lambda2 in phi1 90.971 * [backup-simplify]: Simplify lambda2 into lambda2 90.971 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 90.971 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 90.971 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 90.971 * [taylor]: Taking taylor expansion of 1/2 in phi1 90.971 * [backup-simplify]: Simplify 1/2 into 1/2 90.971 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 90.971 * [taylor]: Taking taylor expansion of phi1 in phi1 90.971 * [backup-simplify]: Simplify 0 into 0 90.971 * [backup-simplify]: Simplify 1 into 1 90.971 * [taylor]: Taking taylor expansion of phi2 in phi1 90.971 * [backup-simplify]: Simplify phi2 into phi2 90.971 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 90.971 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 90.971 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 90.971 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 90.971 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 90.971 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 90.972 * [backup-simplify]: Simplify (- 0) into 0 90.972 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 90.972 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 90.972 * [taylor]: Taking taylor expansion of phi1 in phi1 90.972 * [backup-simplify]: Simplify 0 into 0 90.972 * [backup-simplify]: Simplify 1 into 1 90.972 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in phi1 90.972 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 90.972 * [taylor]: Taking taylor expansion of 2 in phi1 90.972 * [backup-simplify]: Simplify 2 into 2 90.972 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 90.972 * [taylor]: Taking taylor expansion of phi1 in phi1 90.972 * [backup-simplify]: Simplify 0 into 0 90.972 * [backup-simplify]: Simplify 1 into 1 90.972 * [taylor]: Taking taylor expansion of phi2 in phi1 90.972 * [backup-simplify]: Simplify phi2 into phi2 90.972 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in phi1 90.972 * [taylor]: Taking taylor expansion of 2 in phi1 90.972 * [backup-simplify]: Simplify 2 into 2 90.972 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in phi1 90.972 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 90.973 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 90.973 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 90.973 * [taylor]: Taking taylor expansion of 1/2 in phi1 90.973 * [backup-simplify]: Simplify 1/2 into 1/2 90.973 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 90.973 * [taylor]: Taking taylor expansion of phi1 in phi1 90.973 * [backup-simplify]: Simplify 0 into 0 90.973 * [backup-simplify]: Simplify 1 into 1 90.973 * [taylor]: Taking taylor expansion of phi2 in phi1 90.973 * [backup-simplify]: Simplify phi2 into phi2 90.973 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 90.973 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 90.973 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 90.973 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 90.973 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 90.973 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 90.974 * [backup-simplify]: Simplify (- 0) into 0 90.974 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 90.974 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi1 90.974 * [taylor]: Taking taylor expansion of lambda2 in phi1 90.974 * [backup-simplify]: Simplify lambda2 into lambda2 90.974 * [taylor]: Taking taylor expansion of lambda1 in phi1 90.974 * [backup-simplify]: Simplify lambda1 into lambda1 90.974 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 90.974 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 90.974 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) into (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) 90.974 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 90.974 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 90.974 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 90.975 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 phi2)) 2)) into (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) 90.975 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) 0) into (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) 90.975 * [backup-simplify]: Simplify (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) into (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) 90.976 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) into (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) 90.976 * [backup-simplify]: Simplify (* 0 phi2) into 0 90.977 * [backup-simplify]: Simplify (* 2 0) into 0 90.977 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 90.977 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 90.977 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) into (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) 90.977 * [backup-simplify]: Simplify (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) into (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) 90.978 * [backup-simplify]: Simplify (+ 0 (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) into (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) 90.978 * [backup-simplify]: Simplify (- (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) into (- (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) 90.979 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (- (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) into (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) 90.980 * [backup-simplify]: Simplify (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) into (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) 90.980 * [backup-simplify]: Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0 90.981 * [backup-simplify]: Simplify (+ 0) into 0 90.981 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 90.982 * [backup-simplify]: Simplify (+ 1 0) into 1 90.982 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 90.983 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 90.983 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 90.983 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 90.983 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 90.984 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) (- (* 1/2 (sin (* 1/2 phi2))))) (* (- (* 1/2 (sin (* 1/2 phi2)))) (cos (* 1/2 phi2)))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) 90.985 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) 0) (* (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) (pow lambda1 2))) into (- (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))))) 90.985 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 90.985 * [backup-simplify]: Simplify (+ 0) into 0 90.986 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 90.986 * [backup-simplify]: Simplify (+ 1 0) into 1 90.987 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 90.988 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 90.988 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 90.988 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 90.989 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 90.989 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) (- (* 1/2 (sin (* 1/2 phi2))))) (* (- (* 1/2 (sin (* 1/2 phi2)))) (cos (* 1/2 phi2)))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) 90.989 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 90.990 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))))) (* 0 (pow (cos (* 1/2 phi2)) 2))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))))) 90.990 * [backup-simplify]: Simplify (+ (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))))) 0) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))))) 90.991 * [backup-simplify]: Simplify (+ 0 (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))))))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))))) 90.993 * [backup-simplify]: Simplify (+ (- (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))))) (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))))))) into (- (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))))) 90.993 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 90.994 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 90.994 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda1)) into 0 90.994 * [backup-simplify]: Simplify (+ 0) into 0 90.995 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 90.995 * [backup-simplify]: Simplify (+ 1 0) into 1 90.996 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 90.997 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 90.997 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 90.997 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 90.997 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 90.998 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) (- (* 1/2 (sin (* 1/2 phi2))))) (* (- (* 1/2 (sin (* 1/2 phi2)))) (cos (* 1/2 phi2)))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) 90.998 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) 0) (* (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) (* lambda2 lambda1))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))))) 90.999 * [backup-simplify]: Simplify (+ (* 2 (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1))))))) (* 0 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) into (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1))))) 91.000 * [backup-simplify]: Simplify (+ (* 2 phi2) (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))))) into (- (* 2 phi2) (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1))))) 91.000 * [backup-simplify]: Simplify (- (- (* 2 phi2) (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))))) into (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (* 2 phi2)) 91.003 * [backup-simplify]: Simplify (+ (- (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))))) (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (* 2 phi2))) into (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* 2 phi2) (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2))))))))) 91.006 * [backup-simplify]: Simplify (/ (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* 2 phi2) (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2))))))))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) into (* 1/2 (* (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* 2 phi2) (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2))))))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))))) 91.006 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in lambda2 91.006 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in lambda2 91.006 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in lambda2 91.007 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in lambda2 91.007 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 91.007 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 91.007 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 91.007 * [taylor]: Taking taylor expansion of 1/2 in lambda2 91.007 * [backup-simplify]: Simplify 1/2 into 1/2 91.007 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 91.007 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.007 * [backup-simplify]: Simplify phi1 into phi1 91.007 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.007 * [backup-simplify]: Simplify phi2 into phi2 91.007 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 91.007 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 91.007 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 91.007 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 91.007 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 91.007 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 91.008 * [backup-simplify]: Simplify (- 0) into 0 91.008 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 91.008 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda2 91.008 * [taylor]: Taking taylor expansion of lambda1 in lambda2 91.008 * [backup-simplify]: Simplify lambda1 into lambda1 91.008 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 91.008 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 91.008 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.008 * [backup-simplify]: Simplify phi2 into phi2 91.008 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 91.008 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 91.008 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 91.008 * [taylor]: Taking taylor expansion of lambda2 in lambda2 91.008 * [backup-simplify]: Simplify 0 into 0 91.008 * [backup-simplify]: Simplify 1 into 1 91.008 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 91.008 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 91.008 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 91.008 * [taylor]: Taking taylor expansion of 1/2 in lambda2 91.008 * [backup-simplify]: Simplify 1/2 into 1/2 91.008 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 91.008 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.008 * [backup-simplify]: Simplify phi1 into phi1 91.008 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.008 * [backup-simplify]: Simplify phi2 into phi2 91.009 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 91.009 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 91.009 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 91.009 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 91.009 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 91.009 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 91.009 * [backup-simplify]: Simplify (- 0) into 0 91.009 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 91.009 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 91.010 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.010 * [backup-simplify]: Simplify phi1 into phi1 91.010 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in lambda2 91.010 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 91.010 * [taylor]: Taking taylor expansion of 2 in lambda2 91.010 * [backup-simplify]: Simplify 2 into 2 91.010 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 91.010 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.010 * [backup-simplify]: Simplify phi1 into phi1 91.010 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.010 * [backup-simplify]: Simplify phi2 into phi2 91.010 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in lambda2 91.010 * [taylor]: Taking taylor expansion of 2 in lambda2 91.010 * [backup-simplify]: Simplify 2 into 2 91.010 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in lambda2 91.010 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 91.010 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 91.010 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 91.010 * [taylor]: Taking taylor expansion of 1/2 in lambda2 91.010 * [backup-simplify]: Simplify 1/2 into 1/2 91.010 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 91.010 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.010 * [backup-simplify]: Simplify phi1 into phi1 91.010 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.010 * [backup-simplify]: Simplify phi2 into phi2 91.010 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 91.010 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 91.010 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 91.010 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 91.011 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 91.011 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 91.011 * [backup-simplify]: Simplify (- 0) into 0 91.011 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 91.011 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda2 91.011 * [taylor]: Taking taylor expansion of lambda2 in lambda2 91.011 * [backup-simplify]: Simplify 0 into 0 91.011 * [backup-simplify]: Simplify 1 into 1 91.011 * [taylor]: Taking taylor expansion of lambda1 in lambda2 91.011 * [backup-simplify]: Simplify lambda1 into lambda1 91.011 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 91.012 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 91.012 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) into (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 91.012 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 91.012 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 91.012 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 91.012 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 91.013 * [backup-simplify]: Simplify (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (+ (pow phi2 2) (pow phi1 2))) into (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 91.013 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 91.013 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 91.013 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 91.013 * [backup-simplify]: Simplify (* 0 lambda1) into 0 91.013 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0 91.014 * [backup-simplify]: Simplify (* 2 0) into 0 91.014 * [backup-simplify]: Simplify (+ (* 2 (* phi1 phi2)) 0) into (* 2 (* phi1 phi2)) 91.014 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 91.014 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2))) 91.015 * [backup-simplify]: Simplify (sqrt (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))) 91.015 * [backup-simplify]: Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0 91.016 * [backup-simplify]: Simplify (+ 0) into 0 91.016 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 91.017 * [backup-simplify]: Simplify (+ 0 0) into 0 91.017 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 91.018 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 91.018 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 91.019 * [backup-simplify]: Simplify (- 0) into 0 91.019 * [backup-simplify]: Simplify (+ 0 0) into 0 91.019 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 91.019 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) (* 0 (pow lambda1 2))) into 0 91.019 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 91.020 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 91.020 * [backup-simplify]: Simplify (+ 0 0) into 0 91.020 * [backup-simplify]: Simplify (+ 0 0) into 0 91.021 * [backup-simplify]: Simplify (+ 0 0) into 0 91.021 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 91.021 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 91.022 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda1)) into lambda1 91.022 * [backup-simplify]: Simplify (+ 0) into 0 91.022 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 91.023 * [backup-simplify]: Simplify (+ 0 0) into 0 91.023 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 91.024 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 91.024 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 91.025 * [backup-simplify]: Simplify (- 0) into 0 91.025 * [backup-simplify]: Simplify (+ 0 0) into 0 91.025 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 91.026 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1) (* 0 0)) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1) 91.026 * [backup-simplify]: Simplify (+ (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)) (* 0 0)) into (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)) 91.027 * [backup-simplify]: Simplify (+ 0 (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) into (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)) 91.027 * [backup-simplify]: Simplify (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) into (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) 91.027 * [backup-simplify]: Simplify (+ 0 (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)))) into (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) 91.028 * [backup-simplify]: Simplify (/ (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))))) into (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2))))))) 91.028 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in lambda1 91.028 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in lambda1 91.028 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in lambda1 91.028 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in lambda1 91.028 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 91.028 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 91.028 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 91.028 * [taylor]: Taking taylor expansion of 1/2 in lambda1 91.028 * [backup-simplify]: Simplify 1/2 into 1/2 91.028 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 91.028 * [taylor]: Taking taylor expansion of phi1 in lambda1 91.028 * [backup-simplify]: Simplify phi1 into phi1 91.028 * [taylor]: Taking taylor expansion of phi2 in lambda1 91.028 * [backup-simplify]: Simplify phi2 into phi2 91.028 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 91.028 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 91.029 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 91.029 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 91.029 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 91.029 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 91.029 * [backup-simplify]: Simplify (- 0) into 0 91.029 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 91.029 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 91.029 * [taylor]: Taking taylor expansion of lambda1 in lambda1 91.029 * [backup-simplify]: Simplify 0 into 0 91.029 * [backup-simplify]: Simplify 1 into 1 91.029 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda1 91.029 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 91.029 * [taylor]: Taking taylor expansion of phi2 in lambda1 91.029 * [backup-simplify]: Simplify phi2 into phi2 91.029 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda1 91.029 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 91.029 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 91.029 * [taylor]: Taking taylor expansion of lambda2 in lambda1 91.029 * [backup-simplify]: Simplify lambda2 into lambda2 91.029 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 91.029 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 91.029 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 91.029 * [taylor]: Taking taylor expansion of 1/2 in lambda1 91.029 * [backup-simplify]: Simplify 1/2 into 1/2 91.029 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 91.029 * [taylor]: Taking taylor expansion of phi1 in lambda1 91.030 * [backup-simplify]: Simplify phi1 into phi1 91.030 * [taylor]: Taking taylor expansion of phi2 in lambda1 91.030 * [backup-simplify]: Simplify phi2 into phi2 91.030 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 91.030 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 91.030 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 91.030 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 91.030 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 91.030 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 91.030 * [backup-simplify]: Simplify (- 0) into 0 91.030 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 91.030 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 91.030 * [taylor]: Taking taylor expansion of phi1 in lambda1 91.030 * [backup-simplify]: Simplify phi1 into phi1 91.030 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in lambda1 91.030 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda1 91.030 * [taylor]: Taking taylor expansion of 2 in lambda1 91.030 * [backup-simplify]: Simplify 2 into 2 91.030 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 91.030 * [taylor]: Taking taylor expansion of phi1 in lambda1 91.030 * [backup-simplify]: Simplify phi1 into phi1 91.030 * [taylor]: Taking taylor expansion of phi2 in lambda1 91.030 * [backup-simplify]: Simplify phi2 into phi2 91.030 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in lambda1 91.030 * [taylor]: Taking taylor expansion of 2 in lambda1 91.030 * [backup-simplify]: Simplify 2 into 2 91.030 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in lambda1 91.030 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 91.030 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 91.030 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 91.030 * [taylor]: Taking taylor expansion of 1/2 in lambda1 91.030 * [backup-simplify]: Simplify 1/2 into 1/2 91.030 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 91.030 * [taylor]: Taking taylor expansion of phi1 in lambda1 91.031 * [backup-simplify]: Simplify phi1 into phi1 91.031 * [taylor]: Taking taylor expansion of phi2 in lambda1 91.031 * [backup-simplify]: Simplify phi2 into phi2 91.031 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 91.031 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 91.031 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 91.031 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 91.031 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 91.031 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 91.031 * [backup-simplify]: Simplify (- 0) into 0 91.031 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 91.031 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1 91.031 * [taylor]: Taking taylor expansion of lambda2 in lambda1 91.031 * [backup-simplify]: Simplify lambda2 into lambda2 91.031 * [taylor]: Taking taylor expansion of lambda1 in lambda1 91.031 * [backup-simplify]: Simplify 0 into 0 91.031 * [backup-simplify]: Simplify 1 into 1 91.031 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 91.031 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 91.031 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 91.031 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 91.032 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 91.032 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) 91.032 * [backup-simplify]: Simplify (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 91.032 * [backup-simplify]: Simplify (+ 0 (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 91.032 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 91.032 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 91.032 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 91.032 * [backup-simplify]: Simplify (* lambda2 0) into 0 91.033 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0 91.033 * [backup-simplify]: Simplify (* 2 0) into 0 91.033 * [backup-simplify]: Simplify (+ (* 2 (* phi1 phi2)) 0) into (* 2 (* phi1 phi2)) 91.033 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 91.033 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 91.034 * [backup-simplify]: Simplify (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) 91.034 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 91.034 * [backup-simplify]: Simplify (+ 0) into 0 91.034 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 91.035 * [backup-simplify]: Simplify (+ 0 0) into 0 91.035 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 91.035 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 91.036 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 91.036 * [backup-simplify]: Simplify (- 0) into 0 91.036 * [backup-simplify]: Simplify (+ 0 0) into 0 91.036 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 91.036 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 91.036 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into 0 91.036 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 91.037 * [backup-simplify]: Simplify (+ 0 0) into 0 91.037 * [backup-simplify]: Simplify (+ 0 0) into 0 91.037 * [backup-simplify]: Simplify (+ 0 0) into 0 91.037 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 91.038 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 91.038 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 91.038 * [backup-simplify]: Simplify (+ 0) into 0 91.038 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 91.039 * [backup-simplify]: Simplify (+ 0 0) into 0 91.039 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 91.039 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 91.040 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 91.040 * [backup-simplify]: Simplify (- 0) into 0 91.040 * [backup-simplify]: Simplify (+ 0 0) into 0 91.040 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 91.041 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) (* 0 0)) into (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 91.041 * [backup-simplify]: Simplify (+ (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 0 0)) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 91.041 * [backup-simplify]: Simplify (+ 0 (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 91.041 * [backup-simplify]: Simplify (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 91.041 * [backup-simplify]: Simplify (+ 0 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 91.042 * [backup-simplify]: Simplify (/ (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) 91.042 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in lambda1 91.042 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in lambda1 91.042 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in lambda1 91.042 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in lambda1 91.042 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 91.042 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 91.042 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 91.042 * [taylor]: Taking taylor expansion of 1/2 in lambda1 91.042 * [backup-simplify]: Simplify 1/2 into 1/2 91.042 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 91.042 * [taylor]: Taking taylor expansion of phi1 in lambda1 91.042 * [backup-simplify]: Simplify phi1 into phi1 91.042 * [taylor]: Taking taylor expansion of phi2 in lambda1 91.042 * [backup-simplify]: Simplify phi2 into phi2 91.042 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 91.042 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 91.042 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 91.042 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 91.042 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 91.042 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 91.043 * [backup-simplify]: Simplify (- 0) into 0 91.043 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 91.043 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 91.043 * [taylor]: Taking taylor expansion of lambda1 in lambda1 91.043 * [backup-simplify]: Simplify 0 into 0 91.043 * [backup-simplify]: Simplify 1 into 1 91.043 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda1 91.043 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 91.043 * [taylor]: Taking taylor expansion of phi2 in lambda1 91.043 * [backup-simplify]: Simplify phi2 into phi2 91.043 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda1 91.043 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 91.043 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 91.043 * [taylor]: Taking taylor expansion of lambda2 in lambda1 91.043 * [backup-simplify]: Simplify lambda2 into lambda2 91.043 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 91.043 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 91.043 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 91.043 * [taylor]: Taking taylor expansion of 1/2 in lambda1 91.043 * [backup-simplify]: Simplify 1/2 into 1/2 91.043 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 91.043 * [taylor]: Taking taylor expansion of phi1 in lambda1 91.043 * [backup-simplify]: Simplify phi1 into phi1 91.043 * [taylor]: Taking taylor expansion of phi2 in lambda1 91.043 * [backup-simplify]: Simplify phi2 into phi2 91.043 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 91.043 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 91.043 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 91.043 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 91.043 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 91.043 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 91.044 * [backup-simplify]: Simplify (- 0) into 0 91.044 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 91.044 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 91.044 * [taylor]: Taking taylor expansion of phi1 in lambda1 91.044 * [backup-simplify]: Simplify phi1 into phi1 91.044 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in lambda1 91.044 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda1 91.044 * [taylor]: Taking taylor expansion of 2 in lambda1 91.044 * [backup-simplify]: Simplify 2 into 2 91.044 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 91.044 * [taylor]: Taking taylor expansion of phi1 in lambda1 91.044 * [backup-simplify]: Simplify phi1 into phi1 91.044 * [taylor]: Taking taylor expansion of phi2 in lambda1 91.044 * [backup-simplify]: Simplify phi2 into phi2 91.044 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in lambda1 91.044 * [taylor]: Taking taylor expansion of 2 in lambda1 91.044 * [backup-simplify]: Simplify 2 into 2 91.044 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in lambda1 91.044 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 91.044 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 91.044 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 91.044 * [taylor]: Taking taylor expansion of 1/2 in lambda1 91.044 * [backup-simplify]: Simplify 1/2 into 1/2 91.044 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 91.044 * [taylor]: Taking taylor expansion of phi1 in lambda1 91.044 * [backup-simplify]: Simplify phi1 into phi1 91.044 * [taylor]: Taking taylor expansion of phi2 in lambda1 91.044 * [backup-simplify]: Simplify phi2 into phi2 91.044 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 91.044 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 91.044 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 91.044 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 91.044 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 91.044 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 91.045 * [backup-simplify]: Simplify (- 0) into 0 91.045 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 91.045 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1 91.045 * [taylor]: Taking taylor expansion of lambda2 in lambda1 91.045 * [backup-simplify]: Simplify lambda2 into lambda2 91.045 * [taylor]: Taking taylor expansion of lambda1 in lambda1 91.045 * [backup-simplify]: Simplify 0 into 0 91.045 * [backup-simplify]: Simplify 1 into 1 91.045 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 91.045 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 91.045 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 91.045 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 91.045 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 91.045 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) 91.046 * [backup-simplify]: Simplify (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 91.046 * [backup-simplify]: Simplify (+ 0 (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 91.046 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 91.046 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 91.046 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 91.046 * [backup-simplify]: Simplify (* lambda2 0) into 0 91.046 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0 91.046 * [backup-simplify]: Simplify (* 2 0) into 0 91.047 * [backup-simplify]: Simplify (+ (* 2 (* phi1 phi2)) 0) into (* 2 (* phi1 phi2)) 91.047 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 91.047 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 91.047 * [backup-simplify]: Simplify (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) 91.047 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 91.048 * [backup-simplify]: Simplify (+ 0) into 0 91.048 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 91.048 * [backup-simplify]: Simplify (+ 0 0) into 0 91.048 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 91.049 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 91.049 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 91.049 * [backup-simplify]: Simplify (- 0) into 0 91.050 * [backup-simplify]: Simplify (+ 0 0) into 0 91.050 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 91.050 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 91.050 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into 0 91.050 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 91.050 * [backup-simplify]: Simplify (+ 0 0) into 0 91.050 * [backup-simplify]: Simplify (+ 0 0) into 0 91.051 * [backup-simplify]: Simplify (+ 0 0) into 0 91.051 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 91.051 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 91.051 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 91.052 * [backup-simplify]: Simplify (+ 0) into 0 91.052 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 91.052 * [backup-simplify]: Simplify (+ 0 0) into 0 91.053 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 91.053 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 91.053 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 91.054 * [backup-simplify]: Simplify (- 0) into 0 91.054 * [backup-simplify]: Simplify (+ 0 0) into 0 91.054 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 91.054 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) (* 0 0)) into (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 91.055 * [backup-simplify]: Simplify (+ (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 0 0)) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 91.055 * [backup-simplify]: Simplify (+ 0 (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 91.055 * [backup-simplify]: Simplify (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 91.055 * [backup-simplify]: Simplify (+ 0 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 91.056 * [backup-simplify]: Simplify (/ (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) 91.056 * [taylor]: Taking taylor expansion of (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 91.056 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 91.056 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 91.056 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 91.056 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.056 * [backup-simplify]: Simplify phi2 into phi2 91.056 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 91.056 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 91.056 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 91.056 * [taylor]: Taking taylor expansion of lambda2 in lambda2 91.056 * [backup-simplify]: Simplify 0 into 0 91.056 * [backup-simplify]: Simplify 1 into 1 91.056 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 91.056 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 91.056 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 91.056 * [taylor]: Taking taylor expansion of 1/2 in lambda2 91.056 * [backup-simplify]: Simplify 1/2 into 1/2 91.056 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 91.056 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.056 * [backup-simplify]: Simplify phi1 into phi1 91.056 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.056 * [backup-simplify]: Simplify phi2 into phi2 91.056 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 91.056 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 91.056 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 91.056 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 91.056 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 91.057 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 91.057 * [backup-simplify]: Simplify (- 0) into 0 91.057 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 91.057 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 91.057 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.057 * [backup-simplify]: Simplify phi1 into phi1 91.057 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 91.057 * [taylor]: Taking taylor expansion of 2 in lambda2 91.057 * [backup-simplify]: Simplify 2 into 2 91.057 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 91.057 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.057 * [backup-simplify]: Simplify phi1 into phi1 91.057 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.057 * [backup-simplify]: Simplify phi2 into phi2 91.057 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 91.057 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 91.057 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 91.057 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 91.057 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 91.057 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 91.057 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 91.058 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 91.058 * [backup-simplify]: Simplify (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 91.058 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 91.058 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 91.061 * [backup-simplify]: Simplify (+ 0 0) into 0 91.061 * [backup-simplify]: Simplify (+ 0 0) into 0 91.061 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 91.061 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 91.062 * [backup-simplify]: Simplify (- 0) into 0 91.062 * [backup-simplify]: Simplify (+ 0 0) into 0 91.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into 0 91.062 * [taylor]: Taking taylor expansion of (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1 91.062 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1 91.062 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1 91.062 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 91.062 * [taylor]: Taking taylor expansion of phi2 in phi1 91.062 * [backup-simplify]: Simplify phi2 into phi2 91.062 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 91.062 * [taylor]: Taking taylor expansion of phi1 in phi1 91.062 * [backup-simplify]: Simplify 0 into 0 91.062 * [backup-simplify]: Simplify 1 into 1 91.062 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 91.062 * [taylor]: Taking taylor expansion of 2 in phi1 91.062 * [backup-simplify]: Simplify 2 into 2 91.062 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 91.062 * [taylor]: Taking taylor expansion of phi1 in phi1 91.062 * [backup-simplify]: Simplify 0 into 0 91.062 * [backup-simplify]: Simplify 1 into 1 91.062 * [taylor]: Taking taylor expansion of phi2 in phi1 91.062 * [backup-simplify]: Simplify phi2 into phi2 91.062 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 91.063 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 91.063 * [backup-simplify]: Simplify (* 0 phi2) into 0 91.063 * [backup-simplify]: Simplify (* 2 0) into 0 91.063 * [backup-simplify]: Simplify (- 0) into 0 91.063 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 91.063 * [backup-simplify]: Simplify (sqrt (pow phi2 2)) into phi2 91.063 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 91.063 * [backup-simplify]: Simplify (+ 0 0) into 0 91.064 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 91.064 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 91.064 * [backup-simplify]: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) 91.064 * [backup-simplify]: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) 91.064 * [backup-simplify]: Simplify (/ (- (* 2 phi2)) (* 2 (sqrt (pow phi2 2)))) into -1 91.064 * [taylor]: Taking taylor expansion of phi2 in phi2 91.064 * [backup-simplify]: Simplify 0 into 0 91.064 * [backup-simplify]: Simplify 1 into 1 91.064 * [backup-simplify]: Simplify 0 into 0 91.064 * [taylor]: Taking taylor expansion of (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) in lambda2 91.064 * [taylor]: Taking taylor expansion of -1 in lambda2 91.064 * [backup-simplify]: Simplify -1 into -1 91.064 * [taylor]: Taking taylor expansion of (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) in lambda2 91.064 * [taylor]: Taking taylor expansion of (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 91.064 * [taylor]: Taking taylor expansion of lambda2 in lambda2 91.064 * [backup-simplify]: Simplify 0 into 0 91.064 * [backup-simplify]: Simplify 1 into 1 91.064 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 91.064 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 91.064 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 91.065 * [taylor]: Taking taylor expansion of 1/2 in lambda2 91.065 * [backup-simplify]: Simplify 1/2 into 1/2 91.065 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 91.065 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.065 * [backup-simplify]: Simplify phi1 into phi1 91.065 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.065 * [backup-simplify]: Simplify phi2 into phi2 91.065 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 91.065 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 91.065 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 91.065 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 91.065 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 91.065 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 91.065 * [backup-simplify]: Simplify (- 0) into 0 91.065 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 91.065 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2 91.065 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 91.065 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 91.065 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 91.065 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 91.065 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.065 * [backup-simplify]: Simplify phi2 into phi2 91.065 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 91.065 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 91.065 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 91.065 * [taylor]: Taking taylor expansion of lambda2 in lambda2 91.065 * [backup-simplify]: Simplify 0 into 0 91.065 * [backup-simplify]: Simplify 1 into 1 91.065 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 91.065 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 91.065 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 91.066 * [taylor]: Taking taylor expansion of 1/2 in lambda2 91.066 * [backup-simplify]: Simplify 1/2 into 1/2 91.066 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 91.066 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.066 * [backup-simplify]: Simplify phi1 into phi1 91.066 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.066 * [backup-simplify]: Simplify phi2 into phi2 91.066 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 91.066 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 91.066 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 91.066 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 91.066 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 91.066 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 91.066 * [backup-simplify]: Simplify (- 0) into 0 91.066 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 91.066 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 91.066 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.066 * [backup-simplify]: Simplify phi1 into phi1 91.066 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 91.066 * [taylor]: Taking taylor expansion of 2 in lambda2 91.066 * [backup-simplify]: Simplify 2 into 2 91.066 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 91.066 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.066 * [backup-simplify]: Simplify phi1 into phi1 91.066 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.066 * [backup-simplify]: Simplify phi2 into phi2 91.066 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 91.066 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 91.066 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 91.067 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 91.067 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 91.067 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 91.067 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 91.067 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 91.067 * [backup-simplify]: Simplify (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 91.067 * [backup-simplify]: Simplify (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) into (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) 91.067 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 91.067 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 91.068 * [backup-simplify]: Simplify (+ 0 0) into 0 91.068 * [backup-simplify]: Simplify (+ 0 0) into 0 91.068 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 91.068 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 91.068 * [backup-simplify]: Simplify (- 0) into 0 91.069 * [backup-simplify]: Simplify (+ 0 0) into 0 91.069 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) (/ 0 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into 0 91.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into 0 91.069 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 91.069 * [backup-simplify]: Simplify (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into 0 91.069 * [backup-simplify]: Simplify (* 0 (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into 0 91.070 * [backup-simplify]: Simplify (* -1 0) into 0 91.070 * [taylor]: Taking taylor expansion of 0 in phi1 91.070 * [backup-simplify]: Simplify 0 into 0 91.070 * [taylor]: Taking taylor expansion of 0 in phi2 91.070 * [backup-simplify]: Simplify 0 into 0 91.070 * [backup-simplify]: Simplify 0 into 0 91.070 * [taylor]: Taking taylor expansion of 0 in phi1 91.070 * [backup-simplify]: Simplify 0 into 0 91.070 * [taylor]: Taking taylor expansion of 0 in phi2 91.070 * [backup-simplify]: Simplify 0 into 0 91.070 * [backup-simplify]: Simplify 0 into 0 91.070 * [taylor]: Taking taylor expansion of -1 in phi2 91.070 * [backup-simplify]: Simplify -1 into -1 91.070 * [backup-simplify]: Simplify -1 into -1 91.070 * [backup-simplify]: Simplify 1 into 1 91.070 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 91.070 * [backup-simplify]: Simplify (* 1 1) into 1 91.070 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 91.071 * [backup-simplify]: Simplify (+ (* phi2 0) (+ (* 0 0) (* 0 phi2))) into 0 91.071 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 91.072 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 91.072 * [backup-simplify]: Simplify (+ 0 0) into 0 91.072 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ phi1 phi2)))) into 0 91.073 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 91.073 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 91.073 * [backup-simplify]: Simplify (- 0) into 0 91.074 * [backup-simplify]: Simplify (+ 0 0) into 0 91.074 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 91.074 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 0) (* 0 lambda2))) into 0 91.075 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (+ (* 0 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into 0 91.075 * [backup-simplify]: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi1))) into 0 91.075 * [backup-simplify]: Simplify (+ 0 0) into 0 91.075 * [backup-simplify]: Simplify (+ 0 0) into 0 91.076 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 91.076 * [backup-simplify]: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi2))) into 0 91.076 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* phi1 phi2)))) into 0 91.077 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 1) (* 0 0))) into 0 91.078 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 91.079 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 91.079 * [backup-simplify]: Simplify (+ 0 0) into 0 91.080 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ phi1 phi2)))) into 0 91.081 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 91.081 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 91.081 * [backup-simplify]: Simplify (- 0) into 0 91.082 * [backup-simplify]: Simplify (+ 0 0) into 0 91.082 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 91.083 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) (+ (* 0 lambda2) (* 0 0))) into 0 91.084 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 0 0))) into 0 91.084 * [backup-simplify]: Simplify (+ 0 0) into 0 91.084 * [backup-simplify]: Simplify (- 0) into 0 91.085 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 91.087 * [backup-simplify]: Simplify (/ (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) 2) (+)) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (* 1/2 (* (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) 91.087 * [taylor]: Taking taylor expansion of (* 1/2 (* (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) in lambda2 91.087 * [taylor]: Taking taylor expansion of 1/2 in lambda2 91.087 * [backup-simplify]: Simplify 1/2 into 1/2 91.087 * [taylor]: Taking taylor expansion of (* (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) in lambda2 91.088 * [taylor]: Taking taylor expansion of (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2 91.088 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 91.088 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 91.088 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 91.088 * [taylor]: Taking taylor expansion of 1/2 in lambda2 91.088 * [backup-simplify]: Simplify 1/2 into 1/2 91.088 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 91.088 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.088 * [backup-simplify]: Simplify phi1 into phi1 91.088 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.088 * [backup-simplify]: Simplify phi2 into phi2 91.088 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 91.088 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 91.088 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 91.088 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 91.088 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 91.088 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 91.089 * [backup-simplify]: Simplify (- 0) into 0 91.089 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 91.089 * [taylor]: Taking taylor expansion of (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 91.089 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) in lambda2 91.089 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 91.089 * [taylor]: Taking taylor expansion of lambda2 in lambda2 91.089 * [backup-simplify]: Simplify 0 into 0 91.089 * [backup-simplify]: Simplify 1 into 1 91.089 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 4) in lambda2 91.089 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 91.089 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 91.089 * [taylor]: Taking taylor expansion of 1/2 in lambda2 91.089 * [backup-simplify]: Simplify 1/2 into 1/2 91.089 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 91.089 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.089 * [backup-simplify]: Simplify phi1 into phi1 91.090 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.090 * [backup-simplify]: Simplify phi2 into phi2 91.090 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 91.090 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 91.090 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 91.090 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 91.090 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 91.090 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 91.090 * [backup-simplify]: Simplify (- 0) into 0 91.091 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 91.091 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 91.091 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 91.091 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 91.091 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.091 * [backup-simplify]: Simplify phi2 into phi2 91.091 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 91.091 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 91.091 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 91.091 * [taylor]: Taking taylor expansion of lambda2 in lambda2 91.091 * [backup-simplify]: Simplify 0 into 0 91.091 * [backup-simplify]: Simplify 1 into 1 91.091 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 91.091 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 91.091 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 91.091 * [taylor]: Taking taylor expansion of 1/2 in lambda2 91.091 * [backup-simplify]: Simplify 1/2 into 1/2 91.091 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 91.091 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.091 * [backup-simplify]: Simplify phi1 into phi1 91.091 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.091 * [backup-simplify]: Simplify phi2 into phi2 91.091 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 91.091 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 91.091 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 91.092 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 91.092 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 91.092 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 91.092 * [backup-simplify]: Simplify (- 0) into 0 91.092 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 91.092 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 91.092 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.092 * [backup-simplify]: Simplify phi1 into phi1 91.093 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 91.093 * [taylor]: Taking taylor expansion of 2 in lambda2 91.093 * [backup-simplify]: Simplify 2 into 2 91.093 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 91.093 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.093 * [backup-simplify]: Simplify phi1 into phi1 91.093 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.093 * [backup-simplify]: Simplify phi2 into phi2 91.093 * [backup-simplify]: Simplify (* 1 1) into 1 91.093 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 91.094 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 4) 91.094 * [backup-simplify]: Simplify (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 4)) into (pow (cos (* 1/2 (+ phi1 phi2))) 4) 91.094 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 91.094 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 91.094 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 91.094 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 91.094 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 91.094 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 91.094 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 91.095 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 91.095 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 4) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (/ (pow (cos (* 1/2 (+ phi1 phi2))) 4) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 91.095 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2 91.095 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 91.095 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 91.095 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 91.095 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 91.095 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.095 * [backup-simplify]: Simplify phi2 into phi2 91.095 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 91.095 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 91.095 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 91.095 * [taylor]: Taking taylor expansion of lambda2 in lambda2 91.095 * [backup-simplify]: Simplify 0 into 0 91.095 * [backup-simplify]: Simplify 1 into 1 91.095 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 91.095 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 91.095 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 91.095 * [taylor]: Taking taylor expansion of 1/2 in lambda2 91.095 * [backup-simplify]: Simplify 1/2 into 1/2 91.096 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 91.096 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.096 * [backup-simplify]: Simplify phi1 into phi1 91.096 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.096 * [backup-simplify]: Simplify phi2 into phi2 91.096 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 91.096 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 91.096 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 91.096 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 91.096 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 91.096 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 91.097 * [backup-simplify]: Simplify (- 0) into 0 91.097 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 91.097 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 91.097 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.097 * [backup-simplify]: Simplify phi1 into phi1 91.097 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 91.097 * [taylor]: Taking taylor expansion of 2 in lambda2 91.097 * [backup-simplify]: Simplify 2 into 2 91.097 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 91.097 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.097 * [backup-simplify]: Simplify phi1 into phi1 91.097 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.097 * [backup-simplify]: Simplify phi2 into phi2 91.097 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 91.097 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 91.097 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 91.098 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 91.098 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 91.098 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 91.098 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 91.098 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 91.098 * [backup-simplify]: Simplify (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 91.099 * [backup-simplify]: Simplify (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) into (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) 91.099 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 91.099 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 91.100 * [backup-simplify]: Simplify (+ 0 0) into 0 91.101 * [backup-simplify]: Simplify (+ 0 0) into 0 91.101 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 91.101 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 91.102 * [backup-simplify]: Simplify (- 0) into 0 91.102 * [backup-simplify]: Simplify (+ 0 0) into 0 91.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) (/ 0 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into 0 91.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into 0 91.103 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 91.103 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 91.104 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) 91.104 * [backup-simplify]: Simplify (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) 91.104 * [taylor]: Taking taylor expansion of (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) in phi1 91.104 * [taylor]: Taking taylor expansion of 1/2 in phi1 91.104 * [backup-simplify]: Simplify 1/2 into 1/2 91.104 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) in phi1 91.104 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 91.104 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 91.104 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 91.104 * [taylor]: Taking taylor expansion of 1/2 in phi1 91.104 * [backup-simplify]: Simplify 1/2 into 1/2 91.104 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 91.104 * [taylor]: Taking taylor expansion of phi1 in phi1 91.104 * [backup-simplify]: Simplify 0 into 0 91.104 * [backup-simplify]: Simplify 1 into 1 91.104 * [taylor]: Taking taylor expansion of phi2 in phi1 91.104 * [backup-simplify]: Simplify phi2 into phi2 91.104 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 91.104 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 91.104 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 91.105 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 91.105 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 91.105 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 91.105 * [backup-simplify]: Simplify (- 0) into 0 91.105 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 91.105 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) in phi1 91.105 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1 91.105 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1 91.105 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1 91.105 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 91.105 * [taylor]: Taking taylor expansion of phi2 in phi1 91.105 * [backup-simplify]: Simplify phi2 into phi2 91.105 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 91.105 * [taylor]: Taking taylor expansion of phi1 in phi1 91.105 * [backup-simplify]: Simplify 0 into 0 91.105 * [backup-simplify]: Simplify 1 into 1 91.105 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 91.105 * [taylor]: Taking taylor expansion of 2 in phi1 91.105 * [backup-simplify]: Simplify 2 into 2 91.105 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 91.105 * [taylor]: Taking taylor expansion of phi1 in phi1 91.105 * [backup-simplify]: Simplify 0 into 0 91.105 * [backup-simplify]: Simplify 1 into 1 91.105 * [taylor]: Taking taylor expansion of phi2 in phi1 91.105 * [backup-simplify]: Simplify phi2 into phi2 91.105 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 91.105 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 91.105 * [backup-simplify]: Simplify (* 0 phi2) into 0 91.106 * [backup-simplify]: Simplify (* 2 0) into 0 91.106 * [backup-simplify]: Simplify (- 0) into 0 91.106 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 91.106 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 91.106 * [backup-simplify]: Simplify (sqrt (/ 1 (pow phi2 2))) into (/ 1 phi2) 91.106 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 91.106 * [backup-simplify]: Simplify (+ 0 0) into 0 91.107 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 91.107 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 91.107 * [backup-simplify]: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) 91.107 * [backup-simplify]: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) 91.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ (- (* 2 phi2)) (pow phi2 2))))) into (* 2 (/ 1 (pow phi2 3))) 91.107 * [backup-simplify]: Simplify (/ (* 2 (/ 1 (pow phi2 3))) (* 2 (sqrt (/ 1 (pow phi2 2))))) into (/ 1 (pow phi2 2)) 91.107 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 91.107 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (/ 1 phi2)) into (/ (pow (cos (* 1/2 phi2)) 2) phi2) 91.108 * [backup-simplify]: Simplify (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) into (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) 91.108 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) in phi2 91.108 * [taylor]: Taking taylor expansion of 1/2 in phi2 91.108 * [backup-simplify]: Simplify 1/2 into 1/2 91.108 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 phi2)) 2) phi2) in phi2 91.108 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 91.108 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 91.108 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 91.108 * [taylor]: Taking taylor expansion of 1/2 in phi2 91.108 * [backup-simplify]: Simplify 1/2 into 1/2 91.108 * [taylor]: Taking taylor expansion of phi2 in phi2 91.108 * [backup-simplify]: Simplify 0 into 0 91.108 * [backup-simplify]: Simplify 1 into 1 91.108 * [backup-simplify]: Simplify (* 1/2 0) into 0 91.108 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 91.108 * [taylor]: Taking taylor expansion of phi2 in phi2 91.109 * [backup-simplify]: Simplify 0 into 0 91.109 * [backup-simplify]: Simplify 1 into 1 91.109 * [backup-simplify]: Simplify (* 1 1) into 1 91.109 * [backup-simplify]: Simplify (/ 1 1) into 1 91.109 * [backup-simplify]: Simplify (+ 0) into 0 91.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 91.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 91.110 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 91.110 * [backup-simplify]: Simplify 0 into 0 91.111 * [backup-simplify]: Simplify (+ 0) into 0 91.111 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 91.111 * [backup-simplify]: Simplify (+ 0 0) into 0 91.112 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 91.112 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 91.112 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 91.112 * [backup-simplify]: Simplify (- 0) into 0 91.113 * [backup-simplify]: Simplify (+ 0 0) into 0 91.113 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 91.113 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 91.114 * [backup-simplify]: Simplify (+ (* 0 0) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) 91.114 * [backup-simplify]: Simplify (+ (* -1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) (* 0 0)) into (- (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) 91.114 * [taylor]: Taking taylor expansion of (- (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) in phi1 91.114 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) in phi1 91.114 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 91.114 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 91.114 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 91.114 * [taylor]: Taking taylor expansion of 1/2 in phi1 91.114 * [backup-simplify]: Simplify 1/2 into 1/2 91.114 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 91.114 * [taylor]: Taking taylor expansion of phi1 in phi1 91.114 * [backup-simplify]: Simplify 0 into 0 91.114 * [backup-simplify]: Simplify 1 into 1 91.114 * [taylor]: Taking taylor expansion of phi2 in phi1 91.114 * [backup-simplify]: Simplify phi2 into phi2 91.114 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 91.114 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 91.115 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 91.115 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 91.115 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 91.115 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 91.115 * [backup-simplify]: Simplify (- 0) into 0 91.115 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 91.115 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) in phi1 91.115 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1 91.115 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1 91.115 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1 91.115 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 91.115 * [taylor]: Taking taylor expansion of phi2 in phi1 91.115 * [backup-simplify]: Simplify phi2 into phi2 91.115 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 91.115 * [taylor]: Taking taylor expansion of phi1 in phi1 91.115 * [backup-simplify]: Simplify 0 into 0 91.115 * [backup-simplify]: Simplify 1 into 1 91.115 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 91.115 * [taylor]: Taking taylor expansion of 2 in phi1 91.115 * [backup-simplify]: Simplify 2 into 2 91.115 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 91.115 * [taylor]: Taking taylor expansion of phi1 in phi1 91.115 * [backup-simplify]: Simplify 0 into 0 91.115 * [backup-simplify]: Simplify 1 into 1 91.115 * [taylor]: Taking taylor expansion of phi2 in phi1 91.115 * [backup-simplify]: Simplify phi2 into phi2 91.115 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 91.115 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 91.115 * [backup-simplify]: Simplify (* 0 phi2) into 0 91.116 * [backup-simplify]: Simplify (* 2 0) into 0 91.116 * [backup-simplify]: Simplify (- 0) into 0 91.116 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 91.116 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 91.116 * [backup-simplify]: Simplify (sqrt (/ 1 (pow phi2 2))) into (/ 1 phi2) 91.116 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 91.116 * [backup-simplify]: Simplify (+ 0 0) into 0 91.117 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 91.117 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 91.117 * [backup-simplify]: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) 91.117 * [backup-simplify]: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) 91.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ (- (* 2 phi2)) (pow phi2 2))))) into (* 2 (/ 1 (pow phi2 3))) 91.117 * [backup-simplify]: Simplify (/ (* 2 (/ 1 (pow phi2 3))) (* 2 (sqrt (/ 1 (pow phi2 2))))) into (/ 1 (pow phi2 2)) 91.117 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 91.117 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (/ 1 phi2)) into (/ (pow (cos (* 1/2 phi2)) 2) phi2) 91.118 * [backup-simplify]: Simplify (- (/ (pow (cos (* 1/2 phi2)) 2) phi2)) into (- (/ (pow (cos (* 1/2 phi2)) 2) phi2)) 91.118 * [taylor]: Taking taylor expansion of (- (/ (pow (cos (* 1/2 phi2)) 2) phi2)) in phi2 91.118 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 phi2)) 2) phi2) in phi2 91.118 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 91.118 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 91.118 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 91.118 * [taylor]: Taking taylor expansion of 1/2 in phi2 91.118 * [backup-simplify]: Simplify 1/2 into 1/2 91.118 * [taylor]: Taking taylor expansion of phi2 in phi2 91.118 * [backup-simplify]: Simplify 0 into 0 91.118 * [backup-simplify]: Simplify 1 into 1 91.118 * [backup-simplify]: Simplify (* 1/2 0) into 0 91.118 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 91.118 * [taylor]: Taking taylor expansion of phi2 in phi2 91.118 * [backup-simplify]: Simplify 0 into 0 91.118 * [backup-simplify]: Simplify 1 into 1 91.119 * [backup-simplify]: Simplify (* 1 1) into 1 91.119 * [backup-simplify]: Simplify (/ 1 1) into 1 91.119 * [backup-simplify]: Simplify (+ 0) into 0 91.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 91.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 91.120 * [backup-simplify]: Simplify (- 0) into 0 91.120 * [backup-simplify]: Simplify 0 into 0 91.120 * [backup-simplify]: Simplify (+ (* phi2 0) (+ (* 0 0) (* 0 phi2))) into 0 91.121 * [backup-simplify]: Simplify (* 1 1) into 1 91.121 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 91.121 * [backup-simplify]: Simplify (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 91.121 * [backup-simplify]: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi1))) into 0 91.121 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 91.121 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 91.122 * [backup-simplify]: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi2))) into 0 91.122 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* phi1 phi2)))) into 0 91.122 * [backup-simplify]: Simplify (- 0) into 0 91.123 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 91.123 * [backup-simplify]: Simplify (/ (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow 0 2) (+)) (* 2 (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) 91.123 * [taylor]: Taking taylor expansion of (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) in phi1 91.123 * [taylor]: Taking taylor expansion of 1/2 in phi1 91.123 * [backup-simplify]: Simplify 1/2 into 1/2 91.123 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) in phi1 91.123 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 91.123 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 91.123 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 91.123 * [taylor]: Taking taylor expansion of 1/2 in phi1 91.123 * [backup-simplify]: Simplify 1/2 into 1/2 91.123 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 91.123 * [taylor]: Taking taylor expansion of phi1 in phi1 91.123 * [backup-simplify]: Simplify 0 into 0 91.123 * [backup-simplify]: Simplify 1 into 1 91.123 * [taylor]: Taking taylor expansion of phi2 in phi1 91.123 * [backup-simplify]: Simplify phi2 into phi2 91.124 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 91.124 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 91.124 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 91.124 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 91.124 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 91.124 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 91.124 * [backup-simplify]: Simplify (- 0) into 0 91.124 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 91.124 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) in phi1 91.124 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1 91.124 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1 91.124 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1 91.124 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 91.124 * [taylor]: Taking taylor expansion of phi2 in phi1 91.124 * [backup-simplify]: Simplify phi2 into phi2 91.124 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 91.124 * [taylor]: Taking taylor expansion of phi1 in phi1 91.124 * [backup-simplify]: Simplify 0 into 0 91.124 * [backup-simplify]: Simplify 1 into 1 91.124 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 91.124 * [taylor]: Taking taylor expansion of 2 in phi1 91.124 * [backup-simplify]: Simplify 2 into 2 91.124 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 91.124 * [taylor]: Taking taylor expansion of phi1 in phi1 91.124 * [backup-simplify]: Simplify 0 into 0 91.124 * [backup-simplify]: Simplify 1 into 1 91.124 * [taylor]: Taking taylor expansion of phi2 in phi1 91.124 * [backup-simplify]: Simplify phi2 into phi2 91.124 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 91.124 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 91.124 * [backup-simplify]: Simplify (* 0 phi2) into 0 91.125 * [backup-simplify]: Simplify (* 2 0) into 0 91.125 * [backup-simplify]: Simplify (- 0) into 0 91.125 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 91.125 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 91.125 * [backup-simplify]: Simplify (sqrt (/ 1 (pow phi2 2))) into (/ 1 phi2) 91.125 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 91.125 * [backup-simplify]: Simplify (+ 0 0) into 0 91.126 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 91.126 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 91.126 * [backup-simplify]: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) 91.126 * [backup-simplify]: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) 91.126 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ (- (* 2 phi2)) (pow phi2 2))))) into (* 2 (/ 1 (pow phi2 3))) 91.126 * [backup-simplify]: Simplify (/ (* 2 (/ 1 (pow phi2 3))) (* 2 (sqrt (/ 1 (pow phi2 2))))) into (/ 1 (pow phi2 2)) 91.126 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 91.127 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (/ 1 phi2)) into (/ (pow (cos (* 1/2 phi2)) 2) phi2) 91.127 * [backup-simplify]: Simplify (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) into (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) 91.127 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) in phi2 91.127 * [taylor]: Taking taylor expansion of 1/2 in phi2 91.127 * [backup-simplify]: Simplify 1/2 into 1/2 91.127 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 phi2)) 2) phi2) in phi2 91.127 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 91.127 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 91.127 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 91.127 * [taylor]: Taking taylor expansion of 1/2 in phi2 91.127 * [backup-simplify]: Simplify 1/2 into 1/2 91.127 * [taylor]: Taking taylor expansion of phi2 in phi2 91.127 * [backup-simplify]: Simplify 0 into 0 91.127 * [backup-simplify]: Simplify 1 into 1 91.127 * [backup-simplify]: Simplify (* 1/2 0) into 0 91.128 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 91.128 * [taylor]: Taking taylor expansion of phi2 in phi2 91.128 * [backup-simplify]: Simplify 0 into 0 91.128 * [backup-simplify]: Simplify 1 into 1 91.128 * [backup-simplify]: Simplify (* 1 1) into 1 91.128 * [backup-simplify]: Simplify (/ 1 1) into 1 91.128 * [backup-simplify]: Simplify (+ 0) into 0 91.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 91.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 91.129 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 91.130 * [backup-simplify]: Simplify 0 into 0 91.130 * [taylor]: Taking taylor expansion of 0 in phi2 91.130 * [backup-simplify]: Simplify 0 into 0 91.130 * [backup-simplify]: Simplify 0 into 0 91.130 * [taylor]: Taking taylor expansion of 0 in phi2 91.130 * [backup-simplify]: Simplify 0 into 0 91.130 * [backup-simplify]: Simplify 0 into 0 91.130 * [backup-simplify]: Simplify (+ (* phi2 0) (+ (* 0 0) (* 0 phi2))) into 0 91.130 * [backup-simplify]: Simplify (* 1 1) into 1 91.130 * [backup-simplify]: Simplify (+ 0 1) into 1 91.131 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 phi2))) into 0 91.132 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 phi2) (* 0 0))) into 0 91.132 * [backup-simplify]: Simplify (- 0) into 0 91.132 * [backup-simplify]: Simplify (+ 1 0) into 1 91.133 * [backup-simplify]: Simplify (/ (- 1 (pow -1 2) (+)) (* 2 phi2)) into 0 91.133 * [taylor]: Taking taylor expansion of 0 in phi2 91.133 * [backup-simplify]: Simplify 0 into 0 91.133 * [backup-simplify]: Simplify 0 into 0 91.133 * [backup-simplify]: Simplify (+ (* 1 (* phi2 (* 1 (* 1 1)))) (* -1 (* 1 (* phi1 (* 1 1))))) into (- phi2 phi1) 91.134 * [backup-simplify]: Simplify (sqrt (+ (* (* (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))))) (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))))) (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))))) into (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) 91.135 * [approximate]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in (lambda1 lambda2 phi1 phi2) around 0 91.135 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in phi2 91.135 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in phi2 91.135 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in phi2 91.135 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi2 91.135 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 91.135 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 91.135 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 91.135 * [taylor]: Taking taylor expansion of 1/2 in phi2 91.135 * [backup-simplify]: Simplify 1/2 into 1/2 91.135 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 91.135 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 91.135 * [taylor]: Taking taylor expansion of phi1 in phi2 91.135 * [backup-simplify]: Simplify phi1 into phi1 91.135 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.135 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 91.135 * [taylor]: Taking taylor expansion of phi2 in phi2 91.135 * [backup-simplify]: Simplify 0 into 0 91.135 * [backup-simplify]: Simplify 1 into 1 91.135 * [backup-simplify]: Simplify (/ 1 1) into 1 91.135 * [backup-simplify]: Simplify (+ 0 1) into 1 91.136 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 91.136 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.136 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi2 91.136 * [taylor]: Taking taylor expansion of lambda2 in phi2 91.136 * [backup-simplify]: Simplify lambda2 into lambda2 91.136 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.136 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 91.136 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 91.136 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in phi2 91.136 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi2 91.136 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi2 91.136 * [taylor]: Taking taylor expansion of phi1 in phi2 91.136 * [backup-simplify]: Simplify phi1 into phi1 91.136 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 91.136 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 91.136 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in phi2 91.136 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi2 91.137 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 91.137 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 91.137 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 91.137 * [taylor]: Taking taylor expansion of 1/2 in phi2 91.137 * [backup-simplify]: Simplify 1/2 into 1/2 91.137 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 91.137 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 91.137 * [taylor]: Taking taylor expansion of phi1 in phi2 91.137 * [backup-simplify]: Simplify phi1 into phi1 91.137 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.137 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 91.137 * [taylor]: Taking taylor expansion of phi2 in phi2 91.137 * [backup-simplify]: Simplify 0 into 0 91.137 * [backup-simplify]: Simplify 1 into 1 91.137 * [backup-simplify]: Simplify (/ 1 1) into 1 91.138 * [backup-simplify]: Simplify (+ 0 1) into 1 91.138 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 91.138 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.138 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi2 91.138 * [taylor]: Taking taylor expansion of lambda1 in phi2 91.138 * [backup-simplify]: Simplify lambda1 into lambda1 91.139 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.139 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 91.139 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 91.139 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi2 91.139 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2 91.139 * [taylor]: Taking taylor expansion of phi2 in phi2 91.139 * [backup-simplify]: Simplify 0 into 0 91.139 * [backup-simplify]: Simplify 1 into 1 91.139 * [backup-simplify]: Simplify (* 1 1) into 1 91.140 * [backup-simplify]: Simplify (/ 1 1) into 1 91.140 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in phi2 91.140 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi2 91.140 * [taylor]: Taking taylor expansion of 2 in phi2 91.140 * [backup-simplify]: Simplify 2 into 2 91.140 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi2 91.140 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi2 91.140 * [taylor]: Taking taylor expansion of phi1 in phi2 91.140 * [backup-simplify]: Simplify phi1 into phi1 91.140 * [taylor]: Taking taylor expansion of phi2 in phi2 91.140 * [backup-simplify]: Simplify 0 into 0 91.140 * [backup-simplify]: Simplify 1 into 1 91.140 * [backup-simplify]: Simplify (* phi1 0) into 0 91.140 * [backup-simplify]: Simplify (+ (* phi1 1) (* 0 0)) into phi1 91.140 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.140 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in phi2 91.140 * [taylor]: Taking taylor expansion of 2 in phi2 91.140 * [backup-simplify]: Simplify 2 into 2 91.140 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in phi2 91.140 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 91.140 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 91.141 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 91.141 * [taylor]: Taking taylor expansion of 1/2 in phi2 91.141 * [backup-simplify]: Simplify 1/2 into 1/2 91.141 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 91.141 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 91.141 * [taylor]: Taking taylor expansion of phi1 in phi2 91.141 * [backup-simplify]: Simplify phi1 into phi1 91.141 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.141 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 91.141 * [taylor]: Taking taylor expansion of phi2 in phi2 91.141 * [backup-simplify]: Simplify 0 into 0 91.141 * [backup-simplify]: Simplify 1 into 1 91.141 * [backup-simplify]: Simplify (/ 1 1) into 1 91.142 * [backup-simplify]: Simplify (+ 0 1) into 1 91.142 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 91.142 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.142 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi2 91.142 * [taylor]: Taking taylor expansion of lambda2 in phi2 91.142 * [backup-simplify]: Simplify lambda2 into lambda2 91.142 * [taylor]: Taking taylor expansion of lambda1 in phi2 91.142 * [backup-simplify]: Simplify lambda1 into lambda1 91.142 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.142 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 91.143 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) 91.143 * [backup-simplify]: Simplify (+ 0 1) into 1 91.144 * [backup-simplify]: Simplify (+ 0 1) into 1 91.144 * [backup-simplify]: Simplify (+ 0 1) into 1 91.144 * [backup-simplify]: Simplify (+ 1 0) into 1 91.145 * [backup-simplify]: Simplify (sqrt 1) into 1 91.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 91.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 91.147 * [backup-simplify]: Simplify (+ 0 0) into 0 91.147 * [backup-simplify]: Simplify (+ 0 0) into 0 91.147 * [backup-simplify]: Simplify (+ 0 0) into 0 91.147 * [backup-simplify]: Simplify (* 2 (/ 1 phi1)) into (/ 2 phi1) 91.148 * [backup-simplify]: Simplify (+ (/ 2 phi1) 0) into (* 2 (/ 1 phi1)) 91.148 * [backup-simplify]: Simplify (- (* 2 (/ 1 phi1))) into (- (* 2 (/ 1 phi1))) 91.148 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi1)))) into (- (* 2 (/ 1 phi1))) 91.148 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 phi1))) (* 2 (sqrt 1))) into (/ -1 phi1) 91.148 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in phi1 91.148 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in phi1 91.148 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in phi1 91.149 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi1 91.149 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 91.149 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 91.149 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 91.149 * [taylor]: Taking taylor expansion of 1/2 in phi1 91.149 * [backup-simplify]: Simplify 1/2 into 1/2 91.149 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 91.149 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 91.149 * [taylor]: Taking taylor expansion of phi1 in phi1 91.149 * [backup-simplify]: Simplify 0 into 0 91.149 * [backup-simplify]: Simplify 1 into 1 91.149 * [backup-simplify]: Simplify (/ 1 1) into 1 91.149 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 91.149 * [taylor]: Taking taylor expansion of phi2 in phi1 91.149 * [backup-simplify]: Simplify phi2 into phi2 91.149 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.150 * [backup-simplify]: Simplify (+ 1 0) into 1 91.150 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 91.150 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.150 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi1 91.150 * [taylor]: Taking taylor expansion of lambda2 in phi1 91.150 * [backup-simplify]: Simplify lambda2 into lambda2 91.150 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.150 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 91.151 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 91.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in phi1 91.151 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 91.151 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 91.151 * [taylor]: Taking taylor expansion of phi1 in phi1 91.151 * [backup-simplify]: Simplify 0 into 0 91.151 * [backup-simplify]: Simplify 1 into 1 91.151 * [backup-simplify]: Simplify (* 1 1) into 1 91.151 * [backup-simplify]: Simplify (/ 1 1) into 1 91.152 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in phi1 91.152 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi1 91.152 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 91.152 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 91.152 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 91.152 * [taylor]: Taking taylor expansion of 1/2 in phi1 91.152 * [backup-simplify]: Simplify 1/2 into 1/2 91.152 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 91.152 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 91.152 * [taylor]: Taking taylor expansion of phi1 in phi1 91.152 * [backup-simplify]: Simplify 0 into 0 91.152 * [backup-simplify]: Simplify 1 into 1 91.152 * [backup-simplify]: Simplify (/ 1 1) into 1 91.152 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 91.152 * [taylor]: Taking taylor expansion of phi2 in phi1 91.152 * [backup-simplify]: Simplify phi2 into phi2 91.152 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.153 * [backup-simplify]: Simplify (+ 1 0) into 1 91.153 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 91.153 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.153 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi1 91.153 * [taylor]: Taking taylor expansion of lambda1 in phi1 91.153 * [backup-simplify]: Simplify lambda1 into lambda1 91.153 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.154 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 91.154 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 91.154 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 91.154 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 91.154 * [taylor]: Taking taylor expansion of phi2 in phi1 91.154 * [backup-simplify]: Simplify phi2 into phi2 91.154 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 91.154 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 91.154 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in phi1 91.154 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 91.154 * [taylor]: Taking taylor expansion of 2 in phi1 91.154 * [backup-simplify]: Simplify 2 into 2 91.154 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 91.154 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 91.154 * [taylor]: Taking taylor expansion of phi1 in phi1 91.154 * [backup-simplify]: Simplify 0 into 0 91.154 * [backup-simplify]: Simplify 1 into 1 91.154 * [taylor]: Taking taylor expansion of phi2 in phi1 91.154 * [backup-simplify]: Simplify phi2 into phi2 91.154 * [backup-simplify]: Simplify (* 0 phi2) into 0 91.155 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 91.155 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.155 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in phi1 91.155 * [taylor]: Taking taylor expansion of 2 in phi1 91.155 * [backup-simplify]: Simplify 2 into 2 91.155 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in phi1 91.155 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 91.155 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 91.155 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 91.155 * [taylor]: Taking taylor expansion of 1/2 in phi1 91.155 * [backup-simplify]: Simplify 1/2 into 1/2 91.155 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 91.155 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 91.155 * [taylor]: Taking taylor expansion of phi1 in phi1 91.155 * [backup-simplify]: Simplify 0 into 0 91.155 * [backup-simplify]: Simplify 1 into 1 91.155 * [backup-simplify]: Simplify (/ 1 1) into 1 91.155 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 91.155 * [taylor]: Taking taylor expansion of phi2 in phi1 91.155 * [backup-simplify]: Simplify phi2 into phi2 91.156 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.156 * [backup-simplify]: Simplify (+ 1 0) into 1 91.156 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 91.157 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.157 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi1 91.157 * [taylor]: Taking taylor expansion of lambda2 in phi1 91.157 * [backup-simplify]: Simplify lambda2 into lambda2 91.157 * [taylor]: Taking taylor expansion of lambda1 in phi1 91.157 * [backup-simplify]: Simplify lambda1 into lambda1 91.157 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.157 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 91.157 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) 91.158 * [backup-simplify]: Simplify (+ 1 0) into 1 91.158 * [backup-simplify]: Simplify (+ 0 1) into 1 91.159 * [backup-simplify]: Simplify (+ 1 0) into 1 91.160 * [backup-simplify]: Simplify (sqrt 1) into 1 91.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 91.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 91.161 * [backup-simplify]: Simplify (+ 0 0) into 0 91.162 * [backup-simplify]: Simplify (+ 0 0) into 0 91.162 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 91.162 * [backup-simplify]: Simplify (+ (/ 2 phi2) 0) into (* 2 (/ 1 phi2)) 91.162 * [backup-simplify]: Simplify (- (* 2 (/ 1 phi2))) into (- (* 2 (/ 1 phi2))) 91.162 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 91.163 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 phi2))) (* 2 (sqrt 1))) into (/ -1 phi2) 91.163 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in lambda2 91.163 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in lambda2 91.163 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in lambda2 91.163 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda2 91.163 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 91.163 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 91.163 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 91.163 * [taylor]: Taking taylor expansion of 1/2 in lambda2 91.163 * [backup-simplify]: Simplify 1/2 into 1/2 91.163 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 91.163 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 91.163 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.163 * [backup-simplify]: Simplify phi1 into phi1 91.163 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.163 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 91.163 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.163 * [backup-simplify]: Simplify phi2 into phi2 91.163 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.164 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 91.164 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 91.164 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.164 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.164 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.164 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 91.165 * [backup-simplify]: Simplify (- 0) into 0 91.165 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.165 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 91.165 * [taylor]: Taking taylor expansion of lambda2 in lambda2 91.165 * [backup-simplify]: Simplify 0 into 0 91.165 * [backup-simplify]: Simplify 1 into 1 91.165 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.166 * [backup-simplify]: Simplify (* 1 1) into 1 91.166 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in lambda2 91.166 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 91.166 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 91.166 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.166 * [backup-simplify]: Simplify phi1 into phi1 91.166 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 91.166 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 91.166 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in lambda2 91.166 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda2 91.166 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 91.167 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 91.167 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 91.167 * [taylor]: Taking taylor expansion of 1/2 in lambda2 91.167 * [backup-simplify]: Simplify 1/2 into 1/2 91.167 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 91.167 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 91.167 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.167 * [backup-simplify]: Simplify phi1 into phi1 91.167 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.167 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 91.167 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.167 * [backup-simplify]: Simplify phi2 into phi2 91.167 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.167 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 91.167 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 91.167 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.167 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.168 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.168 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 91.168 * [backup-simplify]: Simplify (- 0) into 0 91.168 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.168 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda2 91.168 * [taylor]: Taking taylor expansion of lambda1 in lambda2 91.168 * [backup-simplify]: Simplify lambda1 into lambda1 91.169 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.169 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 91.169 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 91.169 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 91.169 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 91.169 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.169 * [backup-simplify]: Simplify phi2 into phi2 91.169 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 91.169 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 91.169 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in lambda2 91.169 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 91.169 * [taylor]: Taking taylor expansion of 2 in lambda2 91.169 * [backup-simplify]: Simplify 2 into 2 91.169 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 91.169 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 91.169 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.169 * [backup-simplify]: Simplify phi1 into phi1 91.170 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.170 * [backup-simplify]: Simplify phi2 into phi2 91.170 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 91.170 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 91.170 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in lambda2 91.170 * [taylor]: Taking taylor expansion of 2 in lambda2 91.170 * [backup-simplify]: Simplify 2 into 2 91.170 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in lambda2 91.170 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 91.170 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 91.170 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 91.170 * [taylor]: Taking taylor expansion of 1/2 in lambda2 91.170 * [backup-simplify]: Simplify 1/2 into 1/2 91.170 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 91.170 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 91.170 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.170 * [backup-simplify]: Simplify phi1 into phi1 91.170 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.170 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 91.170 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.170 * [backup-simplify]: Simplify phi2 into phi2 91.170 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.170 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 91.170 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 91.171 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.171 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.171 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.171 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 91.171 * [backup-simplify]: Simplify (- 0) into 0 91.172 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.172 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda2 91.172 * [taylor]: Taking taylor expansion of lambda2 in lambda2 91.172 * [backup-simplify]: Simplify 0 into 0 91.172 * [backup-simplify]: Simplify 1 into 1 91.172 * [taylor]: Taking taylor expansion of lambda1 in lambda2 91.172 * [backup-simplify]: Simplify lambda1 into lambda1 91.172 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.172 * [backup-simplify]: Simplify (* 0 lambda1) into 0 91.173 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda1)) into lambda1 91.173 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) 91.173 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.173 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.173 * [backup-simplify]: Simplify (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.174 * [backup-simplify]: Simplify (+ 0) into 0 91.174 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 91.174 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 91.174 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 91.175 * [backup-simplify]: Simplify (+ 0 0) into 0 91.175 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 91.179 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 91.180 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 91.180 * [backup-simplify]: Simplify (- 0) into 0 91.180 * [backup-simplify]: Simplify (+ 0 0) into 0 91.180 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 91.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 91.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 91.182 * [backup-simplify]: Simplify (+ 0 0) into 0 91.182 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) 91.182 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) 91.182 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) 91.182 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) 91.183 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) (* 2 (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1)) 91.183 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in lambda1 91.183 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in lambda1 91.183 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in lambda1 91.183 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 91.183 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 91.183 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 91.183 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 91.183 * [taylor]: Taking taylor expansion of 1/2 in lambda1 91.183 * [backup-simplify]: Simplify 1/2 into 1/2 91.183 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 91.183 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 91.183 * [taylor]: Taking taylor expansion of phi1 in lambda1 91.183 * [backup-simplify]: Simplify phi1 into phi1 91.183 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.183 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 91.183 * [taylor]: Taking taylor expansion of phi2 in lambda1 91.183 * [backup-simplify]: Simplify phi2 into phi2 91.183 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.183 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 91.183 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 91.183 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.183 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.183 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.184 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 91.184 * [backup-simplify]: Simplify (- 0) into 0 91.184 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.184 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 91.184 * [taylor]: Taking taylor expansion of lambda2 in lambda1 91.184 * [backup-simplify]: Simplify lambda2 into lambda2 91.184 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.184 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 91.184 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 91.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in lambda1 91.184 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 91.184 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 91.184 * [taylor]: Taking taylor expansion of phi1 in lambda1 91.184 * [backup-simplify]: Simplify phi1 into phi1 91.184 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 91.185 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 91.185 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in lambda1 91.185 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 91.185 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 91.185 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 91.185 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 91.185 * [taylor]: Taking taylor expansion of 1/2 in lambda1 91.185 * [backup-simplify]: Simplify 1/2 into 1/2 91.185 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 91.185 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 91.185 * [taylor]: Taking taylor expansion of phi1 in lambda1 91.185 * [backup-simplify]: Simplify phi1 into phi1 91.185 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.185 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 91.185 * [taylor]: Taking taylor expansion of phi2 in lambda1 91.185 * [backup-simplify]: Simplify phi2 into phi2 91.185 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.185 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 91.185 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 91.185 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.185 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.185 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.185 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 91.186 * [backup-simplify]: Simplify (- 0) into 0 91.186 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.186 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 91.186 * [taylor]: Taking taylor expansion of lambda1 in lambda1 91.186 * [backup-simplify]: Simplify 0 into 0 91.186 * [backup-simplify]: Simplify 1 into 1 91.186 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.186 * [backup-simplify]: Simplify (* 1 1) into 1 91.186 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.186 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 91.186 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 91.186 * [taylor]: Taking taylor expansion of phi2 in lambda1 91.186 * [backup-simplify]: Simplify phi2 into phi2 91.186 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 91.186 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 91.186 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in lambda1 91.186 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 91.186 * [taylor]: Taking taylor expansion of 2 in lambda1 91.186 * [backup-simplify]: Simplify 2 into 2 91.186 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 91.186 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 91.187 * [taylor]: Taking taylor expansion of phi1 in lambda1 91.187 * [backup-simplify]: Simplify phi1 into phi1 91.187 * [taylor]: Taking taylor expansion of phi2 in lambda1 91.187 * [backup-simplify]: Simplify phi2 into phi2 91.187 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 91.187 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 91.187 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in lambda1 91.187 * [taylor]: Taking taylor expansion of 2 in lambda1 91.187 * [backup-simplify]: Simplify 2 into 2 91.187 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in lambda1 91.187 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 91.187 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 91.187 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 91.187 * [taylor]: Taking taylor expansion of 1/2 in lambda1 91.187 * [backup-simplify]: Simplify 1/2 into 1/2 91.187 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 91.187 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 91.187 * [taylor]: Taking taylor expansion of phi1 in lambda1 91.187 * [backup-simplify]: Simplify phi1 into phi1 91.187 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.187 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 91.187 * [taylor]: Taking taylor expansion of phi2 in lambda1 91.187 * [backup-simplify]: Simplify phi2 into phi2 91.187 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.187 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 91.187 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 91.187 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.187 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.187 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.187 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 91.188 * [backup-simplify]: Simplify (- 0) into 0 91.188 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.188 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1 91.188 * [taylor]: Taking taylor expansion of lambda2 in lambda1 91.188 * [backup-simplify]: Simplify lambda2 into lambda2 91.188 * [taylor]: Taking taylor expansion of lambda1 in lambda1 91.188 * [backup-simplify]: Simplify 0 into 0 91.188 * [backup-simplify]: Simplify 1 into 1 91.188 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.188 * [backup-simplify]: Simplify (* lambda2 0) into 0 91.189 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 91.189 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 91.189 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.189 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.189 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.189 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.189 * [backup-simplify]: Simplify (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.190 * [backup-simplify]: Simplify (+ 0) into 0 91.190 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 91.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 91.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 91.190 * [backup-simplify]: Simplify (+ 0 0) into 0 91.191 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 91.191 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 91.191 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 91.192 * [backup-simplify]: Simplify (- 0) into 0 91.192 * [backup-simplify]: Simplify (+ 0 0) into 0 91.192 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 91.192 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 91.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 91.193 * [backup-simplify]: Simplify (+ 0 0) into 0 91.193 * [backup-simplify]: Simplify (+ 0 0) into 0 91.194 * [backup-simplify]: Simplify (+ 0 0) into 0 91.194 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 91.194 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 91.194 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 91.194 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 91.195 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 91.195 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in lambda1 91.195 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in lambda1 91.195 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in lambda1 91.195 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 91.195 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 91.195 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 91.195 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 91.195 * [taylor]: Taking taylor expansion of 1/2 in lambda1 91.195 * [backup-simplify]: Simplify 1/2 into 1/2 91.195 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 91.195 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 91.195 * [taylor]: Taking taylor expansion of phi1 in lambda1 91.195 * [backup-simplify]: Simplify phi1 into phi1 91.195 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.195 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 91.195 * [taylor]: Taking taylor expansion of phi2 in lambda1 91.195 * [backup-simplify]: Simplify phi2 into phi2 91.195 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.195 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 91.195 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 91.195 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.195 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.195 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.196 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 91.196 * [backup-simplify]: Simplify (- 0) into 0 91.196 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.196 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 91.196 * [taylor]: Taking taylor expansion of lambda2 in lambda1 91.196 * [backup-simplify]: Simplify lambda2 into lambda2 91.196 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.196 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 91.196 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 91.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in lambda1 91.196 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 91.196 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 91.196 * [taylor]: Taking taylor expansion of phi1 in lambda1 91.196 * [backup-simplify]: Simplify phi1 into phi1 91.196 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 91.196 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 91.197 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in lambda1 91.197 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 91.197 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 91.197 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 91.197 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 91.197 * [taylor]: Taking taylor expansion of 1/2 in lambda1 91.197 * [backup-simplify]: Simplify 1/2 into 1/2 91.197 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 91.197 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 91.197 * [taylor]: Taking taylor expansion of phi1 in lambda1 91.197 * [backup-simplify]: Simplify phi1 into phi1 91.197 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.197 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 91.197 * [taylor]: Taking taylor expansion of phi2 in lambda1 91.197 * [backup-simplify]: Simplify phi2 into phi2 91.197 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.197 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 91.197 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 91.197 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.197 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.197 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.197 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 91.197 * [backup-simplify]: Simplify (- 0) into 0 91.198 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.198 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 91.198 * [taylor]: Taking taylor expansion of lambda1 in lambda1 91.198 * [backup-simplify]: Simplify 0 into 0 91.198 * [backup-simplify]: Simplify 1 into 1 91.198 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.198 * [backup-simplify]: Simplify (* 1 1) into 1 91.198 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.198 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 91.198 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 91.198 * [taylor]: Taking taylor expansion of phi2 in lambda1 91.198 * [backup-simplify]: Simplify phi2 into phi2 91.198 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 91.198 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 91.198 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in lambda1 91.198 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 91.198 * [taylor]: Taking taylor expansion of 2 in lambda1 91.198 * [backup-simplify]: Simplify 2 into 2 91.198 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 91.198 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 91.198 * [taylor]: Taking taylor expansion of phi1 in lambda1 91.198 * [backup-simplify]: Simplify phi1 into phi1 91.198 * [taylor]: Taking taylor expansion of phi2 in lambda1 91.199 * [backup-simplify]: Simplify phi2 into phi2 91.199 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 91.199 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 91.199 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in lambda1 91.199 * [taylor]: Taking taylor expansion of 2 in lambda1 91.199 * [backup-simplify]: Simplify 2 into 2 91.199 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in lambda1 91.199 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 91.199 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 91.199 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 91.199 * [taylor]: Taking taylor expansion of 1/2 in lambda1 91.199 * [backup-simplify]: Simplify 1/2 into 1/2 91.199 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 91.199 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 91.199 * [taylor]: Taking taylor expansion of phi1 in lambda1 91.199 * [backup-simplify]: Simplify phi1 into phi1 91.199 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.199 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 91.199 * [taylor]: Taking taylor expansion of phi2 in lambda1 91.199 * [backup-simplify]: Simplify phi2 into phi2 91.199 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.199 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 91.199 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 91.199 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.199 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.199 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.199 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 91.200 * [backup-simplify]: Simplify (- 0) into 0 91.200 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.200 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1 91.200 * [taylor]: Taking taylor expansion of lambda2 in lambda1 91.200 * [backup-simplify]: Simplify lambda2 into lambda2 91.200 * [taylor]: Taking taylor expansion of lambda1 in lambda1 91.200 * [backup-simplify]: Simplify 0 into 0 91.200 * [backup-simplify]: Simplify 1 into 1 91.200 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.200 * [backup-simplify]: Simplify (* lambda2 0) into 0 91.200 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 91.200 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 91.200 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.201 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.201 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.201 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.201 * [backup-simplify]: Simplify (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.201 * [backup-simplify]: Simplify (+ 0) into 0 91.202 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 91.202 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 91.202 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 91.202 * [backup-simplify]: Simplify (+ 0 0) into 0 91.202 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 91.203 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 91.203 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 91.204 * [backup-simplify]: Simplify (- 0) into 0 91.204 * [backup-simplify]: Simplify (+ 0 0) into 0 91.204 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 91.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 91.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 91.205 * [backup-simplify]: Simplify (+ 0 0) into 0 91.205 * [backup-simplify]: Simplify (+ 0 0) into 0 91.206 * [backup-simplify]: Simplify (+ 0 0) into 0 91.206 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 91.206 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 91.206 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 91.206 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 91.207 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 91.207 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 91.207 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 91.207 * [taylor]: Taking taylor expansion of 1/2 in lambda2 91.207 * [backup-simplify]: Simplify 1/2 into 1/2 91.207 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 91.207 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 91.207 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.207 * [backup-simplify]: Simplify phi1 into phi1 91.207 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.207 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 91.207 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.207 * [backup-simplify]: Simplify phi2 into phi2 91.207 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.207 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 91.207 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 91.207 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.207 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.207 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) in lambda2 91.207 * [taylor]: Taking taylor expansion of -1 in lambda2 91.207 * [backup-simplify]: Simplify -1 into -1 91.207 * [taylor]: Taking taylor expansion of (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2) in lambda2 91.207 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 91.207 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 91.207 * [taylor]: Taking taylor expansion of 1/2 in lambda2 91.207 * [backup-simplify]: Simplify 1/2 into 1/2 91.207 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 91.207 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 91.207 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.208 * [backup-simplify]: Simplify phi1 into phi1 91.208 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.208 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 91.208 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.208 * [backup-simplify]: Simplify phi2 into phi2 91.208 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.208 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 91.208 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 91.208 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.208 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.208 * [taylor]: Taking taylor expansion of lambda2 in lambda2 91.208 * [backup-simplify]: Simplify 0 into 0 91.208 * [backup-simplify]: Simplify 1 into 1 91.208 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.208 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 91.208 * [backup-simplify]: Simplify (- 0) into 0 91.209 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.209 * [backup-simplify]: Simplify (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.209 * [backup-simplify]: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 91.209 * [taylor]: Taking taylor expansion of (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 91.209 * [taylor]: Taking taylor expansion of -1 in phi1 91.209 * [backup-simplify]: Simplify -1 into -1 91.209 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 91.209 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 91.209 * [taylor]: Taking taylor expansion of 1/2 in phi1 91.209 * [backup-simplify]: Simplify 1/2 into 1/2 91.209 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 91.209 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 91.209 * [taylor]: Taking taylor expansion of phi1 in phi1 91.209 * [backup-simplify]: Simplify 0 into 0 91.209 * [backup-simplify]: Simplify 1 into 1 91.209 * [backup-simplify]: Simplify (/ 1 1) into 1 91.209 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 91.209 * [taylor]: Taking taylor expansion of phi2 in phi1 91.209 * [backup-simplify]: Simplify phi2 into phi2 91.209 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.210 * [backup-simplify]: Simplify (+ 1 0) into 1 91.210 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 91.210 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.210 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.210 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 91.210 * [backup-simplify]: Simplify (- 0) into 0 91.210 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.210 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 91.210 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 91.210 * [taylor]: Taking taylor expansion of 1/2 in phi1 91.210 * [backup-simplify]: Simplify 1/2 into 1/2 91.210 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 91.211 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 91.211 * [taylor]: Taking taylor expansion of phi1 in phi1 91.211 * [backup-simplify]: Simplify 0 into 0 91.211 * [backup-simplify]: Simplify 1 into 1 91.211 * [backup-simplify]: Simplify (/ 1 1) into 1 91.211 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 91.211 * [taylor]: Taking taylor expansion of phi2 in phi1 91.211 * [backup-simplify]: Simplify phi2 into phi2 91.211 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.211 * [backup-simplify]: Simplify (+ 1 0) into 1 91.211 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 91.211 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.212 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 91.213 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 91.213 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 91.213 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 91.213 * [backup-simplify]: Simplify (+ 0 0) into 0 91.214 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 91.215 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 91.216 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 91.216 * [backup-simplify]: Simplify (- 0) into 0 91.216 * [backup-simplify]: Simplify (+ 0 0) into 0 91.217 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 91.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 91.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 91.220 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow phi2 2))) into (/ 1 (pow phi2 2)) 91.220 * [backup-simplify]: Simplify (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 91.220 * [backup-simplify]: Simplify (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) into (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) 91.220 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 91.221 * [backup-simplify]: Simplify (+ 0) into 0 91.221 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 91.221 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 91.222 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 91.222 * [backup-simplify]: Simplify (+ 0 0) into 0 91.222 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 91.223 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 91.224 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 91.224 * [backup-simplify]: Simplify (- 0) into 0 91.224 * [backup-simplify]: Simplify (+ 0 0) into 0 91.225 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 91.225 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 1) (* 0 0))) into 0 91.226 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)))) into 0 91.226 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into 0 91.226 * [backup-simplify]: Simplify (+ (/ 2 (* phi1 phi2)) 0) into (* 2 (/ 1 (* phi1 phi2))) 91.227 * [backup-simplify]: Simplify (- (* 2 (/ 1 (* phi1 phi2)))) into (- (* 2 (/ 1 (* phi1 phi2)))) 91.227 * [backup-simplify]: Simplify (+ (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (* 2 (/ 1 (* phi1 phi2)))) 91.229 * [backup-simplify]: Simplify (/ (- (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (* 2 (/ 1 (* phi1 phi2)))) (pow (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 2) (+)) (* 2 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 91.229 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in lambda2 91.229 * [taylor]: Taking taylor expansion of 1/2 in lambda2 91.229 * [backup-simplify]: Simplify 1/2 into 1/2 91.229 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in lambda2 91.229 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in lambda2 91.229 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in lambda2 91.229 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 91.229 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 91.229 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.229 * [backup-simplify]: Simplify phi2 into phi2 91.229 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 91.229 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 91.229 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 91.229 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 91.229 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.229 * [backup-simplify]: Simplify phi1 into phi1 91.229 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 91.230 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 91.230 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 91.230 * [taylor]: Taking taylor expansion of 2 in lambda2 91.230 * [backup-simplify]: Simplify 2 into 2 91.230 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 91.230 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 91.230 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.230 * [backup-simplify]: Simplify phi1 into phi1 91.230 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.230 * [backup-simplify]: Simplify phi2 into phi2 91.230 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 91.230 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 91.230 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 91.230 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 91.230 * [taylor]: Taking taylor expansion of 1/2 in lambda2 91.230 * [backup-simplify]: Simplify 1/2 into 1/2 91.230 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 91.230 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 91.230 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.230 * [backup-simplify]: Simplify phi1 into phi1 91.230 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.230 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 91.230 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.230 * [backup-simplify]: Simplify phi2 into phi2 91.230 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.230 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 91.231 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 91.231 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.231 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.231 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 91.231 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 91.231 * [backup-simplify]: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) 91.231 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) 91.232 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.232 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 91.232 * [backup-simplify]: Simplify (- 0) into 0 91.232 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.233 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 91.233 * [backup-simplify]: Simplify (+ 0) into 0 91.234 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 91.234 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 91.234 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 91.234 * [backup-simplify]: Simplify (+ 0 0) into 0 91.235 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 91.236 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 91.236 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 91.237 * [backup-simplify]: Simplify (- 0) into 0 91.237 * [backup-simplify]: Simplify (+ 0 0) into 0 91.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (/ 0 1)))) into 0 91.239 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 91.239 * [taylor]: Taking taylor expansion of 0 in phi1 91.239 * [backup-simplify]: Simplify 0 into 0 91.239 * [backup-simplify]: Simplify (+ 0) into 0 91.240 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 91.240 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 91.240 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 91.241 * [backup-simplify]: Simplify (+ 0 0) into 0 91.241 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 91.242 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 91.242 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 91.243 * [backup-simplify]: Simplify (- 0) into 0 91.243 * [backup-simplify]: Simplify (+ 0 0) into 0 91.243 * [taylor]: Taking taylor expansion of 0 in phi1 91.243 * [backup-simplify]: Simplify 0 into 0 91.243 * [backup-simplify]: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 91.243 * [taylor]: Taking taylor expansion of (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi2 91.243 * [taylor]: Taking taylor expansion of -1 in phi2 91.243 * [backup-simplify]: Simplify -1 into -1 91.243 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 91.243 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 91.243 * [taylor]: Taking taylor expansion of 1/2 in phi2 91.244 * [backup-simplify]: Simplify 1/2 into 1/2 91.244 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 91.244 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 91.244 * [taylor]: Taking taylor expansion of phi1 in phi2 91.244 * [backup-simplify]: Simplify phi1 into phi1 91.244 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.244 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 91.244 * [taylor]: Taking taylor expansion of phi2 in phi2 91.244 * [backup-simplify]: Simplify 0 into 0 91.244 * [backup-simplify]: Simplify 1 into 1 91.244 * [backup-simplify]: Simplify (/ 1 1) into 1 91.245 * [backup-simplify]: Simplify (+ 0 1) into 1 91.245 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 91.245 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.245 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 91.245 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 91.245 * [taylor]: Taking taylor expansion of 1/2 in phi2 91.245 * [backup-simplify]: Simplify 1/2 into 1/2 91.245 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 91.245 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 91.245 * [taylor]: Taking taylor expansion of phi1 in phi2 91.245 * [backup-simplify]: Simplify phi1 into phi1 91.245 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.245 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 91.245 * [taylor]: Taking taylor expansion of phi2 in phi2 91.246 * [backup-simplify]: Simplify 0 into 0 91.246 * [backup-simplify]: Simplify 1 into 1 91.246 * [backup-simplify]: Simplify (/ 1 1) into 1 91.246 * [backup-simplify]: Simplify (+ 0 1) into 1 91.247 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 91.247 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.247 * [backup-simplify]: Simplify (+ 0) into 0 91.248 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 91.248 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 91.248 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 91.249 * [backup-simplify]: Simplify (+ 0 0) into 0 91.249 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 91.250 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 91.250 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 91.251 * [backup-simplify]: Simplify (- 0) into 0 91.251 * [backup-simplify]: Simplify (+ 0 0) into 0 91.251 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 91.251 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 91.252 * [backup-simplify]: Simplify (- (/ 0 (pow lambda2 2)) (+ (* (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (/ 0 (pow lambda2 2))))) into 0 91.252 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 91.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))))) into 0 91.253 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 91.254 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 91.254 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 91.254 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 91.255 * [backup-simplify]: Simplify (+ 0 0) into 0 91.256 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 91.257 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 91.258 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 91.259 * [backup-simplify]: Simplify (- 0) into 0 91.259 * [backup-simplify]: Simplify (+ 0 0) into 0 91.260 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into 0 91.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 91.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 91.263 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 91.263 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))))) into 0 91.264 * [backup-simplify]: Simplify (+ 0 0) into 0 91.264 * [backup-simplify]: Simplify (+ 0 0) into 0 91.265 * [backup-simplify]: Simplify (+ 0 0) into 0 91.265 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 91.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))))) into 0 91.265 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (* phi1 phi2)))) into 0 91.266 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 91.267 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 91.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 91.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 91.268 * [backup-simplify]: Simplify (+ 0 0) into 0 91.269 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 91.270 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 91.270 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 91.270 * [backup-simplify]: Simplify (- 0) into 0 91.271 * [backup-simplify]: Simplify (+ 0 0) into 0 91.272 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 91.272 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 91.273 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 91.274 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into 0 91.274 * [backup-simplify]: Simplify (+ 0 0) into 0 91.275 * [backup-simplify]: Simplify (- 0) into 0 91.275 * [backup-simplify]: Simplify (+ 0 0) into 0 91.276 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))))) (* 2 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 91.276 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in lambda2 91.276 * [taylor]: Taking taylor expansion of 1/2 in lambda2 91.276 * [backup-simplify]: Simplify 1/2 into 1/2 91.276 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in lambda2 91.276 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) in lambda2 91.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) in lambda2 91.276 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (pow phi2 2))) in lambda2 91.276 * [taylor]: Taking taylor expansion of (* lambda2 (pow phi2 2)) in lambda2 91.277 * [taylor]: Taking taylor expansion of lambda2 in lambda2 91.277 * [backup-simplify]: Simplify 0 into 0 91.277 * [backup-simplify]: Simplify 1 into 1 91.277 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 91.277 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.277 * [backup-simplify]: Simplify phi2 into phi2 91.277 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 91.277 * [backup-simplify]: Simplify (* 0 (pow phi2 2)) into 0 91.277 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 91.277 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow phi2 2))) into (pow phi2 2) 91.278 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 91.278 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (pow phi1 2))) in lambda2 91.278 * [taylor]: Taking taylor expansion of (* lambda2 (pow phi1 2)) in lambda2 91.278 * [taylor]: Taking taylor expansion of lambda2 in lambda2 91.278 * [backup-simplify]: Simplify 0 into 0 91.278 * [backup-simplify]: Simplify 1 into 1 91.278 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 91.278 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.278 * [backup-simplify]: Simplify phi1 into phi1 91.278 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 91.278 * [backup-simplify]: Simplify (* 0 (pow phi1 2)) into 0 91.278 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 91.278 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow phi1 2))) into (pow phi1 2) 91.279 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 91.279 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* lambda2 (* phi1 phi2)))) in lambda2 91.279 * [taylor]: Taking taylor expansion of 2 in lambda2 91.279 * [backup-simplify]: Simplify 2 into 2 91.279 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (* phi1 phi2))) in lambda2 91.279 * [taylor]: Taking taylor expansion of (* lambda2 (* phi1 phi2)) in lambda2 91.279 * [taylor]: Taking taylor expansion of lambda2 in lambda2 91.279 * [backup-simplify]: Simplify 0 into 0 91.279 * [backup-simplify]: Simplify 1 into 1 91.279 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 91.279 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.279 * [backup-simplify]: Simplify phi1 into phi1 91.279 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.279 * [backup-simplify]: Simplify phi2 into phi2 91.279 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 91.279 * [backup-simplify]: Simplify (* 0 (* phi1 phi2)) into 0 91.279 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 91.280 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* phi1 phi2))) into (* phi1 phi2) 91.280 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 91.280 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 91.280 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 91.280 * [taylor]: Taking taylor expansion of 1/2 in lambda2 91.280 * [backup-simplify]: Simplify 1/2 into 1/2 91.280 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 91.280 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 91.280 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.280 * [backup-simplify]: Simplify phi1 into phi1 91.280 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.280 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 91.280 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.280 * [backup-simplify]: Simplify phi2 into phi2 91.280 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.280 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 91.280 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 91.281 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.281 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.281 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 91.281 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 91.281 * [backup-simplify]: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) 91.281 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) 91.282 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.282 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 91.283 * [backup-simplify]: Simplify (- 0) into 0 91.283 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.283 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 91.284 * [backup-simplify]: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 91.284 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in phi1 91.284 * [taylor]: Taking taylor expansion of 1/2 in phi1 91.284 * [backup-simplify]: Simplify 1/2 into 1/2 91.284 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 91.284 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1 91.284 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in phi1 91.284 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 91.284 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 91.284 * [taylor]: Taking taylor expansion of phi2 in phi1 91.284 * [backup-simplify]: Simplify phi2 into phi2 91.284 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 91.284 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 91.284 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 91.284 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 91.284 * [taylor]: Taking taylor expansion of phi1 in phi1 91.284 * [backup-simplify]: Simplify 0 into 0 91.284 * [backup-simplify]: Simplify 1 into 1 91.285 * [backup-simplify]: Simplify (* 1 1) into 1 91.285 * [backup-simplify]: Simplify (/ 1 1) into 1 91.285 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 91.285 * [taylor]: Taking taylor expansion of 2 in phi1 91.285 * [backup-simplify]: Simplify 2 into 2 91.285 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 91.285 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 91.285 * [taylor]: Taking taylor expansion of phi1 in phi1 91.285 * [backup-simplify]: Simplify 0 into 0 91.285 * [backup-simplify]: Simplify 1 into 1 91.285 * [taylor]: Taking taylor expansion of phi2 in phi1 91.285 * [backup-simplify]: Simplify phi2 into phi2 91.285 * [backup-simplify]: Simplify (* 0 phi2) into 0 91.286 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 91.286 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.286 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 91.286 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 91.286 * [taylor]: Taking taylor expansion of 1/2 in phi1 91.286 * [backup-simplify]: Simplify 1/2 into 1/2 91.286 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 91.286 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 91.286 * [taylor]: Taking taylor expansion of phi1 in phi1 91.286 * [backup-simplify]: Simplify 0 into 0 91.286 * [backup-simplify]: Simplify 1 into 1 91.286 * [backup-simplify]: Simplify (/ 1 1) into 1 91.287 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 91.287 * [taylor]: Taking taylor expansion of phi2 in phi1 91.287 * [backup-simplify]: Simplify phi2 into phi2 91.287 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.287 * [backup-simplify]: Simplify (+ 1 0) into 1 91.287 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 91.288 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.288 * [backup-simplify]: Simplify (+ 0 1) into 1 91.289 * [backup-simplify]: Simplify (+ 1 0) into 1 91.289 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 91.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 91.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 91.291 * [backup-simplify]: Simplify (+ 0 0) into 0 91.291 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 91.291 * [backup-simplify]: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2))) 91.292 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 91.292 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (+ (* (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (- (* 2 (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)))) 91.293 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))) (* 0 (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) 91.293 * [taylor]: Taking taylor expansion of (- (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) in phi2 91.293 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)) in phi2 91.293 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2) in phi2 91.293 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 91.293 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 91.293 * [taylor]: Taking taylor expansion of 1/2 in phi2 91.293 * [backup-simplify]: Simplify 1/2 into 1/2 91.293 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 91.293 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 91.293 * [taylor]: Taking taylor expansion of phi1 in phi2 91.293 * [backup-simplify]: Simplify phi1 into phi1 91.293 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.293 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 91.293 * [taylor]: Taking taylor expansion of phi2 in phi2 91.293 * [backup-simplify]: Simplify 0 into 0 91.293 * [backup-simplify]: Simplify 1 into 1 91.294 * [backup-simplify]: Simplify (/ 1 1) into 1 91.294 * [backup-simplify]: Simplify (+ 0 1) into 1 91.295 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 91.295 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.295 * [taylor]: Taking taylor expansion of phi2 in phi2 91.295 * [backup-simplify]: Simplify 0 into 0 91.295 * [backup-simplify]: Simplify 1 into 1 91.295 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 91.296 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) (* 0 0)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.296 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 91.296 * [backup-simplify]: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 91.296 * [backup-simplify]: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 91.297 * [backup-simplify]: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 91.297 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in phi1 91.297 * [taylor]: Taking taylor expansion of 1/2 in phi1 91.297 * [backup-simplify]: Simplify 1/2 into 1/2 91.297 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 91.297 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1 91.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in phi1 91.297 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 91.297 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 91.297 * [taylor]: Taking taylor expansion of phi2 in phi1 91.297 * [backup-simplify]: Simplify phi2 into phi2 91.297 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 91.297 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 91.297 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 91.297 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 91.297 * [taylor]: Taking taylor expansion of phi1 in phi1 91.297 * [backup-simplify]: Simplify 0 into 0 91.297 * [backup-simplify]: Simplify 1 into 1 91.298 * [backup-simplify]: Simplify (* 1 1) into 1 91.298 * [backup-simplify]: Simplify (/ 1 1) into 1 91.298 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 91.298 * [taylor]: Taking taylor expansion of 2 in phi1 91.298 * [backup-simplify]: Simplify 2 into 2 91.298 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 91.298 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 91.298 * [taylor]: Taking taylor expansion of phi1 in phi1 91.299 * [backup-simplify]: Simplify 0 into 0 91.299 * [backup-simplify]: Simplify 1 into 1 91.299 * [taylor]: Taking taylor expansion of phi2 in phi1 91.299 * [backup-simplify]: Simplify phi2 into phi2 91.299 * [backup-simplify]: Simplify (* 0 phi2) into 0 91.299 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 91.299 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.299 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 91.299 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 91.299 * [taylor]: Taking taylor expansion of 1/2 in phi1 91.299 * [backup-simplify]: Simplify 1/2 into 1/2 91.299 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 91.299 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 91.299 * [taylor]: Taking taylor expansion of phi1 in phi1 91.299 * [backup-simplify]: Simplify 0 into 0 91.299 * [backup-simplify]: Simplify 1 into 1 91.300 * [backup-simplify]: Simplify (/ 1 1) into 1 91.300 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 91.300 * [taylor]: Taking taylor expansion of phi2 in phi1 91.300 * [backup-simplify]: Simplify phi2 into phi2 91.300 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.300 * [backup-simplify]: Simplify (+ 1 0) into 1 91.301 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 91.301 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.301 * [backup-simplify]: Simplify (+ 0 1) into 1 91.302 * [backup-simplify]: Simplify (+ 1 0) into 1 91.302 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 91.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 91.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 91.306 * [backup-simplify]: Simplify (+ 0 0) into 0 91.306 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 91.306 * [backup-simplify]: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2))) 91.307 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 91.307 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (+ (* (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (- (* 2 (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)))) 91.307 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))) (* 0 (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) 91.308 * [taylor]: Taking taylor expansion of (- (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) in phi2 91.308 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)) in phi2 91.308 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2) in phi2 91.308 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 91.308 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 91.308 * [taylor]: Taking taylor expansion of 1/2 in phi2 91.308 * [backup-simplify]: Simplify 1/2 into 1/2 91.308 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 91.308 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 91.308 * [taylor]: Taking taylor expansion of phi1 in phi2 91.308 * [backup-simplify]: Simplify phi1 into phi1 91.308 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.308 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 91.308 * [taylor]: Taking taylor expansion of phi2 in phi2 91.308 * [backup-simplify]: Simplify 0 into 0 91.308 * [backup-simplify]: Simplify 1 into 1 91.308 * [backup-simplify]: Simplify (/ 1 1) into 1 91.309 * [backup-simplify]: Simplify (+ 0 1) into 1 91.309 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 91.309 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.310 * [taylor]: Taking taylor expansion of phi2 in phi2 91.310 * [backup-simplify]: Simplify 0 into 0 91.310 * [backup-simplify]: Simplify 1 into 1 91.310 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 91.310 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) (* 0 0)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.310 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 91.311 * [backup-simplify]: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 91.311 * [backup-simplify]: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 91.312 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 91.313 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 91.313 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 91.313 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 91.313 * [backup-simplify]: Simplify (+ 0 0) into 0 91.314 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 91.315 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 91.315 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 91.316 * [backup-simplify]: Simplify (- 0) into 0 91.316 * [backup-simplify]: Simplify (+ 0 0) into 0 91.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 91.319 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 91.319 * [taylor]: Taking taylor expansion of 0 in phi1 91.319 * [backup-simplify]: Simplify 0 into 0 91.319 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 91.320 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 91.320 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 91.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 91.321 * [backup-simplify]: Simplify (+ 0 0) into 0 91.322 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 91.323 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 91.323 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 91.324 * [backup-simplify]: Simplify (- 0) into 0 91.324 * [backup-simplify]: Simplify (+ 0 0) into 0 91.324 * [taylor]: Taking taylor expansion of 0 in phi1 91.324 * [backup-simplify]: Simplify 0 into 0 91.324 * [taylor]: Taking taylor expansion of 0 in phi2 91.324 * [backup-simplify]: Simplify 0 into 0 91.324 * [taylor]: Taking taylor expansion of 0 in phi2 91.324 * [backup-simplify]: Simplify 0 into 0 91.325 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 91.325 * [taylor]: Taking taylor expansion of 0 in phi2 91.325 * [backup-simplify]: Simplify 0 into 0 91.325 * [taylor]: Taking taylor expansion of 0 in phi2 91.325 * [backup-simplify]: Simplify 0 into 0 91.325 * [backup-simplify]: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 91.325 * [backup-simplify]: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 91.327 * [backup-simplify]: Simplify (+ (* (* -1 (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2)))))) (* 1 (* 1 (* (/ 1 (/ 1 lambda2)) 1)))) (+ (* (- (/ 1 (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))))) (* (/ 1 (/ 1 phi2)) (* (/ 1 (/ 1 phi1)) (* 1 (/ 1 lambda1))))) (* (- (/ 1 (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))))) (* (/ 1 (/ 1 phi2)) (* (/ 1 (/ 1 phi1)) (* (/ 1 (/ 1 lambda2)) (pow (/ 1 lambda1) 2))))))) into (- (+ (/ (* lambda2 (* phi1 phi2)) (* (cos (* 1/2 (+ phi1 phi2))) (pow lambda1 2))) (+ (/ (* phi1 phi2) (* (cos (* 1/2 (+ phi1 phi2))) lambda1)) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))) 91.329 * [backup-simplify]: Simplify (sqrt (+ (* (* (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))))) (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))))) (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))))) into (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) 91.329 * [approximate]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in (lambda1 lambda2 phi1 phi2) around 0 91.329 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in phi2 91.330 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in phi2 91.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in phi2 91.330 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi2 91.330 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2 91.330 * [taylor]: Taking taylor expansion of phi2 in phi2 91.330 * [backup-simplify]: Simplify 0 into 0 91.330 * [backup-simplify]: Simplify 1 into 1 91.330 * [backup-simplify]: Simplify (* 1 1) into 1 91.331 * [backup-simplify]: Simplify (/ 1 1) into 1 91.331 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in phi2 91.331 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi2 91.331 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi2 91.331 * [taylor]: Taking taylor expansion of phi1 in phi2 91.331 * [backup-simplify]: Simplify phi1 into phi1 91.331 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 91.331 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 91.331 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in phi2 91.331 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi2 91.331 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 91.331 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 91.331 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 91.331 * [taylor]: Taking taylor expansion of -1/2 in phi2 91.331 * [backup-simplify]: Simplify -1/2 into -1/2 91.331 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 91.331 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 91.331 * [taylor]: Taking taylor expansion of phi1 in phi2 91.331 * [backup-simplify]: Simplify phi1 into phi1 91.331 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.331 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 91.331 * [taylor]: Taking taylor expansion of phi2 in phi2 91.331 * [backup-simplify]: Simplify 0 into 0 91.331 * [backup-simplify]: Simplify 1 into 1 91.332 * [backup-simplify]: Simplify (/ 1 1) into 1 91.332 * [backup-simplify]: Simplify (+ 0 1) into 1 91.333 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 91.333 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.333 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi2 91.333 * [taylor]: Taking taylor expansion of lambda1 in phi2 91.333 * [backup-simplify]: Simplify lambda1 into lambda1 91.333 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.333 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 91.333 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 91.333 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi2 91.334 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 91.334 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 91.334 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 91.334 * [taylor]: Taking taylor expansion of -1/2 in phi2 91.334 * [backup-simplify]: Simplify -1/2 into -1/2 91.334 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 91.334 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 91.334 * [taylor]: Taking taylor expansion of phi1 in phi2 91.334 * [backup-simplify]: Simplify phi1 into phi1 91.334 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.334 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 91.334 * [taylor]: Taking taylor expansion of phi2 in phi2 91.334 * [backup-simplify]: Simplify 0 into 0 91.334 * [backup-simplify]: Simplify 1 into 1 91.334 * [backup-simplify]: Simplify (/ 1 1) into 1 91.335 * [backup-simplify]: Simplify (+ 0 1) into 1 91.335 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 91.335 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.335 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi2 91.335 * [taylor]: Taking taylor expansion of lambda2 in phi2 91.335 * [backup-simplify]: Simplify lambda2 into lambda2 91.336 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.336 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 91.336 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 91.336 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in phi2 91.336 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi2 91.336 * [taylor]: Taking taylor expansion of 2 in phi2 91.336 * [backup-simplify]: Simplify 2 into 2 91.336 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi2 91.336 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi2 91.336 * [taylor]: Taking taylor expansion of phi1 in phi2 91.336 * [backup-simplify]: Simplify phi1 into phi1 91.336 * [taylor]: Taking taylor expansion of phi2 in phi2 91.336 * [backup-simplify]: Simplify 0 into 0 91.336 * [backup-simplify]: Simplify 1 into 1 91.336 * [backup-simplify]: Simplify (* phi1 0) into 0 91.337 * [backup-simplify]: Simplify (+ (* phi1 1) (* 0 0)) into phi1 91.337 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.337 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in phi2 91.337 * [taylor]: Taking taylor expansion of 2 in phi2 91.337 * [backup-simplify]: Simplify 2 into 2 91.337 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in phi2 91.337 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 91.337 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 91.337 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 91.337 * [taylor]: Taking taylor expansion of -1/2 in phi2 91.337 * [backup-simplify]: Simplify -1/2 into -1/2 91.337 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 91.337 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 91.337 * [taylor]: Taking taylor expansion of phi1 in phi2 91.337 * [backup-simplify]: Simplify phi1 into phi1 91.337 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.337 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 91.337 * [taylor]: Taking taylor expansion of phi2 in phi2 91.337 * [backup-simplify]: Simplify 0 into 0 91.337 * [backup-simplify]: Simplify 1 into 1 91.338 * [backup-simplify]: Simplify (/ 1 1) into 1 91.338 * [backup-simplify]: Simplify (+ 0 1) into 1 91.338 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 91.339 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.339 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in phi2 91.339 * [taylor]: Taking taylor expansion of lambda1 in phi2 91.339 * [backup-simplify]: Simplify lambda1 into lambda1 91.339 * [taylor]: Taking taylor expansion of lambda2 in phi2 91.339 * [backup-simplify]: Simplify lambda2 into lambda2 91.339 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.339 * [backup-simplify]: Simplify (* lambda1 lambda2) into (* lambda2 lambda1) 91.340 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) 91.340 * [backup-simplify]: Simplify (+ 1 0) into 1 91.341 * [backup-simplify]: Simplify (+ 1 0) into 1 91.341 * [backup-simplify]: Simplify (sqrt 1) into 1 91.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 91.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 91.343 * [backup-simplify]: Simplify (+ 0 0) into 0 91.343 * [backup-simplify]: Simplify (* 2 (/ 1 phi1)) into (/ 2 phi1) 91.343 * [backup-simplify]: Simplify (+ (/ 2 phi1) 0) into (* 2 (/ 1 phi1)) 91.343 * [backup-simplify]: Simplify (- (* 2 (/ 1 phi1))) into (- (* 2 (/ 1 phi1))) 91.343 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi1)))) into (- (* 2 (/ 1 phi1))) 91.344 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 phi1))) (* 2 (sqrt 1))) into (/ -1 phi1) 91.344 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in phi1 91.344 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in phi1 91.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in phi1 91.344 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 91.344 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 91.344 * [taylor]: Taking taylor expansion of phi2 in phi1 91.344 * [backup-simplify]: Simplify phi2 into phi2 91.344 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 91.344 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 91.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in phi1 91.344 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 91.344 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 91.344 * [taylor]: Taking taylor expansion of phi1 in phi1 91.344 * [backup-simplify]: Simplify 0 into 0 91.345 * [backup-simplify]: Simplify 1 into 1 91.345 * [backup-simplify]: Simplify (* 1 1) into 1 91.345 * [backup-simplify]: Simplify (/ 1 1) into 1 91.345 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in phi1 91.345 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi1 91.345 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 91.345 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 91.345 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 91.345 * [taylor]: Taking taylor expansion of -1/2 in phi1 91.345 * [backup-simplify]: Simplify -1/2 into -1/2 91.345 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 91.346 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 91.346 * [taylor]: Taking taylor expansion of phi1 in phi1 91.346 * [backup-simplify]: Simplify 0 into 0 91.346 * [backup-simplify]: Simplify 1 into 1 91.346 * [backup-simplify]: Simplify (/ 1 1) into 1 91.346 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 91.346 * [taylor]: Taking taylor expansion of phi2 in phi1 91.346 * [backup-simplify]: Simplify phi2 into phi2 91.346 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.347 * [backup-simplify]: Simplify (+ 1 0) into 1 91.347 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 91.347 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.347 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi1 91.347 * [taylor]: Taking taylor expansion of lambda1 in phi1 91.347 * [backup-simplify]: Simplify lambda1 into lambda1 91.347 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.348 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 91.348 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 91.348 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi1 91.348 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 91.348 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 91.348 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 91.348 * [taylor]: Taking taylor expansion of -1/2 in phi1 91.348 * [backup-simplify]: Simplify -1/2 into -1/2 91.348 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 91.348 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 91.348 * [taylor]: Taking taylor expansion of phi1 in phi1 91.348 * [backup-simplify]: Simplify 0 into 0 91.348 * [backup-simplify]: Simplify 1 into 1 91.348 * [backup-simplify]: Simplify (/ 1 1) into 1 91.349 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 91.349 * [taylor]: Taking taylor expansion of phi2 in phi1 91.349 * [backup-simplify]: Simplify phi2 into phi2 91.349 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.349 * [backup-simplify]: Simplify (+ 1 0) into 1 91.349 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 91.350 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.350 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi1 91.350 * [taylor]: Taking taylor expansion of lambda2 in phi1 91.350 * [backup-simplify]: Simplify lambda2 into lambda2 91.350 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.350 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 91.350 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 91.350 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in phi1 91.350 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 91.350 * [taylor]: Taking taylor expansion of 2 in phi1 91.350 * [backup-simplify]: Simplify 2 into 2 91.350 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 91.350 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 91.351 * [taylor]: Taking taylor expansion of phi1 in phi1 91.351 * [backup-simplify]: Simplify 0 into 0 91.351 * [backup-simplify]: Simplify 1 into 1 91.351 * [taylor]: Taking taylor expansion of phi2 in phi1 91.351 * [backup-simplify]: Simplify phi2 into phi2 91.351 * [backup-simplify]: Simplify (* 0 phi2) into 0 91.351 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 91.351 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.351 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in phi1 91.351 * [taylor]: Taking taylor expansion of 2 in phi1 91.351 * [backup-simplify]: Simplify 2 into 2 91.351 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in phi1 91.351 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 91.351 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 91.351 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 91.351 * [taylor]: Taking taylor expansion of -1/2 in phi1 91.351 * [backup-simplify]: Simplify -1/2 into -1/2 91.351 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 91.351 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 91.351 * [taylor]: Taking taylor expansion of phi1 in phi1 91.352 * [backup-simplify]: Simplify 0 into 0 91.352 * [backup-simplify]: Simplify 1 into 1 91.352 * [backup-simplify]: Simplify (/ 1 1) into 1 91.352 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 91.352 * [taylor]: Taking taylor expansion of phi2 in phi1 91.352 * [backup-simplify]: Simplify phi2 into phi2 91.352 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.352 * [backup-simplify]: Simplify (+ 1 0) into 1 91.353 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 91.353 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.353 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in phi1 91.353 * [taylor]: Taking taylor expansion of lambda1 in phi1 91.353 * [backup-simplify]: Simplify lambda1 into lambda1 91.353 * [taylor]: Taking taylor expansion of lambda2 in phi1 91.353 * [backup-simplify]: Simplify lambda2 into lambda2 91.353 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.354 * [backup-simplify]: Simplify (* lambda1 lambda2) into (* lambda2 lambda1) 91.354 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) 91.354 * [backup-simplify]: Simplify (+ 1 0) into 1 91.355 * [backup-simplify]: Simplify (+ 0 1) into 1 91.355 * [backup-simplify]: Simplify (+ 1 0) into 1 91.355 * [backup-simplify]: Simplify (sqrt 1) into 1 91.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 91.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 91.357 * [backup-simplify]: Simplify (+ 0 0) into 0 91.357 * [backup-simplify]: Simplify (+ 0 0) into 0 91.358 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 91.358 * [backup-simplify]: Simplify (+ (/ 2 phi2) 0) into (* 2 (/ 1 phi2)) 91.358 * [backup-simplify]: Simplify (- (* 2 (/ 1 phi2))) into (- (* 2 (/ 1 phi2))) 91.358 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 91.358 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 phi2))) (* 2 (sqrt 1))) into (/ -1 phi2) 91.358 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in lambda2 91.358 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in lambda2 91.359 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in lambda2 91.359 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 91.359 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 91.359 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.359 * [backup-simplify]: Simplify phi2 into phi2 91.359 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 91.359 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 91.359 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in lambda2 91.359 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 91.359 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 91.359 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.359 * [backup-simplify]: Simplify phi1 into phi1 91.359 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 91.359 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 91.359 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in lambda2 91.359 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda2 91.359 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 91.359 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 91.359 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 91.359 * [taylor]: Taking taylor expansion of -1/2 in lambda2 91.359 * [backup-simplify]: Simplify -1/2 into -1/2 91.359 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 91.359 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 91.359 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.359 * [backup-simplify]: Simplify phi1 into phi1 91.359 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.359 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 91.360 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.360 * [backup-simplify]: Simplify phi2 into phi2 91.360 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.360 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 91.360 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 91.360 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.360 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.360 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.360 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 91.361 * [backup-simplify]: Simplify (- 0) into 0 91.361 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.361 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda2 91.361 * [taylor]: Taking taylor expansion of lambda1 in lambda2 91.361 * [backup-simplify]: Simplify lambda1 into lambda1 91.362 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.362 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 91.362 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 91.362 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda2 91.362 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 91.362 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 91.362 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 91.362 * [taylor]: Taking taylor expansion of -1/2 in lambda2 91.362 * [backup-simplify]: Simplify -1/2 into -1/2 91.362 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 91.362 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 91.362 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.362 * [backup-simplify]: Simplify phi1 into phi1 91.362 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.362 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 91.362 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.362 * [backup-simplify]: Simplify phi2 into phi2 91.362 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.363 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 91.363 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 91.363 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.363 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.363 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.363 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 91.364 * [backup-simplify]: Simplify (- 0) into 0 91.364 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.364 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 91.364 * [taylor]: Taking taylor expansion of lambda2 in lambda2 91.364 * [backup-simplify]: Simplify 0 into 0 91.364 * [backup-simplify]: Simplify 1 into 1 91.364 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.365 * [backup-simplify]: Simplify (* 1 1) into 1 91.365 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.365 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in lambda2 91.365 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 91.365 * [taylor]: Taking taylor expansion of 2 in lambda2 91.365 * [backup-simplify]: Simplify 2 into 2 91.365 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 91.365 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 91.365 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.365 * [backup-simplify]: Simplify phi1 into phi1 91.365 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.365 * [backup-simplify]: Simplify phi2 into phi2 91.365 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 91.365 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 91.365 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in lambda2 91.365 * [taylor]: Taking taylor expansion of 2 in lambda2 91.365 * [backup-simplify]: Simplify 2 into 2 91.366 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in lambda2 91.366 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 91.366 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 91.366 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 91.366 * [taylor]: Taking taylor expansion of -1/2 in lambda2 91.366 * [backup-simplify]: Simplify -1/2 into -1/2 91.366 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 91.366 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 91.366 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.366 * [backup-simplify]: Simplify phi1 into phi1 91.366 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.366 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 91.366 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.366 * [backup-simplify]: Simplify phi2 into phi2 91.366 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.366 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 91.366 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 91.366 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.366 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.367 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.367 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 91.367 * [backup-simplify]: Simplify (- 0) into 0 91.367 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.367 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in lambda2 91.367 * [taylor]: Taking taylor expansion of lambda1 in lambda2 91.368 * [backup-simplify]: Simplify lambda1 into lambda1 91.368 * [taylor]: Taking taylor expansion of lambda2 in lambda2 91.368 * [backup-simplify]: Simplify 0 into 0 91.368 * [backup-simplify]: Simplify 1 into 1 91.368 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.368 * [backup-simplify]: Simplify (* lambda1 0) into 0 91.368 * [backup-simplify]: Simplify (+ (* lambda1 1) (* 0 0)) into lambda1 91.369 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) 91.369 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.369 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.369 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.370 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.370 * [backup-simplify]: Simplify (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.370 * [backup-simplify]: Simplify (+ 0) into 0 91.371 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 91.371 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 91.371 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 91.371 * [backup-simplify]: Simplify (+ 0 0) into 0 91.372 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 91.373 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 91.373 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 91.374 * [backup-simplify]: Simplify (- 0) into 0 91.374 * [backup-simplify]: Simplify (+ 0 0) into 0 91.374 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 91.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 91.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 91.376 * [backup-simplify]: Simplify (+ 0 0) into 0 91.377 * [backup-simplify]: Simplify (+ 0 0) into 0 91.377 * [backup-simplify]: Simplify (+ 0 0) into 0 91.377 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) 91.378 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) 91.378 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) 91.378 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) 91.379 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) (* 2 (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1)) 91.379 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in lambda1 91.379 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in lambda1 91.379 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in lambda1 91.379 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 91.379 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 91.379 * [taylor]: Taking taylor expansion of phi2 in lambda1 91.379 * [backup-simplify]: Simplify phi2 into phi2 91.379 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 91.379 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 91.379 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in lambda1 91.380 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 91.380 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 91.380 * [taylor]: Taking taylor expansion of phi1 in lambda1 91.380 * [backup-simplify]: Simplify phi1 into phi1 91.380 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 91.380 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 91.380 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in lambda1 91.380 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 91.380 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 91.380 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 91.380 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 91.380 * [taylor]: Taking taylor expansion of -1/2 in lambda1 91.380 * [backup-simplify]: Simplify -1/2 into -1/2 91.380 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 91.380 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 91.380 * [taylor]: Taking taylor expansion of phi1 in lambda1 91.380 * [backup-simplify]: Simplify phi1 into phi1 91.380 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.380 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 91.380 * [taylor]: Taking taylor expansion of phi2 in lambda1 91.380 * [backup-simplify]: Simplify phi2 into phi2 91.380 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.380 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 91.381 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 91.381 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.381 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.381 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.381 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 91.382 * [backup-simplify]: Simplify (- 0) into 0 91.382 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.382 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 91.382 * [taylor]: Taking taylor expansion of lambda1 in lambda1 91.382 * [backup-simplify]: Simplify 0 into 0 91.382 * [backup-simplify]: Simplify 1 into 1 91.382 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.383 * [backup-simplify]: Simplify (* 1 1) into 1 91.383 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.383 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 91.383 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 91.383 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 91.383 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 91.383 * [taylor]: Taking taylor expansion of -1/2 in lambda1 91.383 * [backup-simplify]: Simplify -1/2 into -1/2 91.383 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 91.383 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 91.383 * [taylor]: Taking taylor expansion of phi1 in lambda1 91.383 * [backup-simplify]: Simplify phi1 into phi1 91.383 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.383 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 91.383 * [taylor]: Taking taylor expansion of phi2 in lambda1 91.383 * [backup-simplify]: Simplify phi2 into phi2 91.383 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.383 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 91.384 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 91.384 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.384 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.384 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.384 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 91.385 * [backup-simplify]: Simplify (- 0) into 0 91.385 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.385 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 91.385 * [taylor]: Taking taylor expansion of lambda2 in lambda1 91.385 * [backup-simplify]: Simplify lambda2 into lambda2 91.385 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.385 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 91.385 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 91.385 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in lambda1 91.385 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 91.385 * [taylor]: Taking taylor expansion of 2 in lambda1 91.386 * [backup-simplify]: Simplify 2 into 2 91.386 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 91.386 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 91.386 * [taylor]: Taking taylor expansion of phi1 in lambda1 91.386 * [backup-simplify]: Simplify phi1 into phi1 91.386 * [taylor]: Taking taylor expansion of phi2 in lambda1 91.386 * [backup-simplify]: Simplify phi2 into phi2 91.386 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 91.386 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 91.386 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in lambda1 91.386 * [taylor]: Taking taylor expansion of 2 in lambda1 91.386 * [backup-simplify]: Simplify 2 into 2 91.386 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in lambda1 91.386 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 91.386 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 91.386 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 91.386 * [taylor]: Taking taylor expansion of -1/2 in lambda1 91.386 * [backup-simplify]: Simplify -1/2 into -1/2 91.386 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 91.386 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 91.386 * [taylor]: Taking taylor expansion of phi1 in lambda1 91.386 * [backup-simplify]: Simplify phi1 into phi1 91.386 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.386 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 91.386 * [taylor]: Taking taylor expansion of phi2 in lambda1 91.386 * [backup-simplify]: Simplify phi2 into phi2 91.386 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.386 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 91.387 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 91.387 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.387 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.387 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.387 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 91.388 * [backup-simplify]: Simplify (- 0) into 0 91.388 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.388 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in lambda1 91.388 * [taylor]: Taking taylor expansion of lambda1 in lambda1 91.388 * [backup-simplify]: Simplify 0 into 0 91.388 * [backup-simplify]: Simplify 1 into 1 91.388 * [taylor]: Taking taylor expansion of lambda2 in lambda1 91.388 * [backup-simplify]: Simplify lambda2 into lambda2 91.388 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.388 * [backup-simplify]: Simplify (* 0 lambda2) into 0 91.389 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda2)) into lambda2 91.389 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 91.389 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.390 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.390 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.390 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.390 * [backup-simplify]: Simplify (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.391 * [backup-simplify]: Simplify (+ 0) into 0 91.391 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 91.391 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 91.392 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 91.392 * [backup-simplify]: Simplify (+ 0 0) into 0 91.392 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 91.393 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 91.394 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 91.394 * [backup-simplify]: Simplify (- 0) into 0 91.394 * [backup-simplify]: Simplify (+ 0 0) into 0 91.395 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 91.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 91.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 91.397 * [backup-simplify]: Simplify (+ 0 0) into 0 91.397 * [backup-simplify]: Simplify (+ 0 0) into 0 91.398 * [backup-simplify]: Simplify (+ 0 0) into 0 91.398 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 91.398 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 91.398 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 91.399 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 91.399 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 91.399 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in lambda1 91.399 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in lambda1 91.400 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in lambda1 91.400 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 91.400 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 91.400 * [taylor]: Taking taylor expansion of phi2 in lambda1 91.400 * [backup-simplify]: Simplify phi2 into phi2 91.400 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 91.400 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 91.400 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in lambda1 91.400 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 91.400 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 91.400 * [taylor]: Taking taylor expansion of phi1 in lambda1 91.400 * [backup-simplify]: Simplify phi1 into phi1 91.400 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 91.400 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 91.400 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in lambda1 91.400 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 91.400 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 91.400 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 91.400 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 91.400 * [taylor]: Taking taylor expansion of -1/2 in lambda1 91.400 * [backup-simplify]: Simplify -1/2 into -1/2 91.400 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 91.400 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 91.400 * [taylor]: Taking taylor expansion of phi1 in lambda1 91.400 * [backup-simplify]: Simplify phi1 into phi1 91.400 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.400 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 91.400 * [taylor]: Taking taylor expansion of phi2 in lambda1 91.400 * [backup-simplify]: Simplify phi2 into phi2 91.400 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.401 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 91.401 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 91.401 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.401 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.401 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.401 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 91.401 * [backup-simplify]: Simplify (- 0) into 0 91.401 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.401 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 91.401 * [taylor]: Taking taylor expansion of lambda1 in lambda1 91.402 * [backup-simplify]: Simplify 0 into 0 91.402 * [backup-simplify]: Simplify 1 into 1 91.402 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.402 * [backup-simplify]: Simplify (* 1 1) into 1 91.402 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.402 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 91.402 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 91.402 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 91.402 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 91.402 * [taylor]: Taking taylor expansion of -1/2 in lambda1 91.402 * [backup-simplify]: Simplify -1/2 into -1/2 91.402 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 91.402 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 91.402 * [taylor]: Taking taylor expansion of phi1 in lambda1 91.402 * [backup-simplify]: Simplify phi1 into phi1 91.402 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.402 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 91.402 * [taylor]: Taking taylor expansion of phi2 in lambda1 91.402 * [backup-simplify]: Simplify phi2 into phi2 91.402 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.402 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 91.403 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 91.403 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.403 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.403 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.403 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 91.403 * [backup-simplify]: Simplify (- 0) into 0 91.403 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.403 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 91.403 * [taylor]: Taking taylor expansion of lambda2 in lambda1 91.403 * [backup-simplify]: Simplify lambda2 into lambda2 91.403 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.403 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 91.404 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 91.404 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in lambda1 91.404 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 91.404 * [taylor]: Taking taylor expansion of 2 in lambda1 91.404 * [backup-simplify]: Simplify 2 into 2 91.404 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 91.404 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 91.404 * [taylor]: Taking taylor expansion of phi1 in lambda1 91.404 * [backup-simplify]: Simplify phi1 into phi1 91.404 * [taylor]: Taking taylor expansion of phi2 in lambda1 91.404 * [backup-simplify]: Simplify phi2 into phi2 91.404 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 91.404 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 91.404 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in lambda1 91.404 * [taylor]: Taking taylor expansion of 2 in lambda1 91.404 * [backup-simplify]: Simplify 2 into 2 91.404 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in lambda1 91.404 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 91.404 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 91.404 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 91.404 * [taylor]: Taking taylor expansion of -1/2 in lambda1 91.404 * [backup-simplify]: Simplify -1/2 into -1/2 91.404 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 91.404 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 91.404 * [taylor]: Taking taylor expansion of phi1 in lambda1 91.404 * [backup-simplify]: Simplify phi1 into phi1 91.404 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.404 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 91.404 * [taylor]: Taking taylor expansion of phi2 in lambda1 91.404 * [backup-simplify]: Simplify phi2 into phi2 91.404 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.404 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 91.404 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 91.404 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.404 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.405 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.405 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 91.405 * [backup-simplify]: Simplify (- 0) into 0 91.405 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.405 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in lambda1 91.405 * [taylor]: Taking taylor expansion of lambda1 in lambda1 91.405 * [backup-simplify]: Simplify 0 into 0 91.405 * [backup-simplify]: Simplify 1 into 1 91.405 * [taylor]: Taking taylor expansion of lambda2 in lambda1 91.405 * [backup-simplify]: Simplify lambda2 into lambda2 91.405 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.405 * [backup-simplify]: Simplify (* 0 lambda2) into 0 91.406 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda2)) into lambda2 91.406 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 91.406 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.406 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.406 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.406 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.406 * [backup-simplify]: Simplify (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.406 * [backup-simplify]: Simplify (+ 0) into 0 91.407 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 91.407 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 91.407 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 91.407 * [backup-simplify]: Simplify (+ 0 0) into 0 91.408 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 91.408 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 91.408 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 91.409 * [backup-simplify]: Simplify (- 0) into 0 91.409 * [backup-simplify]: Simplify (+ 0 0) into 0 91.409 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 91.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 91.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 91.410 * [backup-simplify]: Simplify (+ 0 0) into 0 91.410 * [backup-simplify]: Simplify (+ 0 0) into 0 91.411 * [backup-simplify]: Simplify (+ 0 0) into 0 91.411 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 91.411 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 91.411 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 91.411 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 91.412 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 91.412 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 91.412 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 91.412 * [taylor]: Taking taylor expansion of -1/2 in lambda2 91.412 * [backup-simplify]: Simplify -1/2 into -1/2 91.412 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 91.412 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 91.412 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.412 * [backup-simplify]: Simplify phi1 into phi1 91.412 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.412 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 91.412 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.412 * [backup-simplify]: Simplify phi2 into phi2 91.412 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.412 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 91.412 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 91.412 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.412 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.412 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) in lambda2 91.412 * [taylor]: Taking taylor expansion of -1 in lambda2 91.412 * [backup-simplify]: Simplify -1 into -1 91.412 * [taylor]: Taking taylor expansion of (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2) in lambda2 91.412 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 91.412 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 91.412 * [taylor]: Taking taylor expansion of -1/2 in lambda2 91.412 * [backup-simplify]: Simplify -1/2 into -1/2 91.412 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 91.412 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 91.412 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.412 * [backup-simplify]: Simplify phi1 into phi1 91.412 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.412 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 91.413 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.413 * [backup-simplify]: Simplify phi2 into phi2 91.413 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.413 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 91.413 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 91.413 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.413 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.413 * [taylor]: Taking taylor expansion of lambda2 in lambda2 91.413 * [backup-simplify]: Simplify 0 into 0 91.413 * [backup-simplify]: Simplify 1 into 1 91.413 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.413 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 91.413 * [backup-simplify]: Simplify (- 0) into 0 91.413 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.414 * [backup-simplify]: Simplify (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.414 * [backup-simplify]: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 91.414 * [taylor]: Taking taylor expansion of (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 91.414 * [taylor]: Taking taylor expansion of -1 in phi1 91.414 * [backup-simplify]: Simplify -1 into -1 91.414 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 91.414 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 91.414 * [taylor]: Taking taylor expansion of -1/2 in phi1 91.414 * [backup-simplify]: Simplify -1/2 into -1/2 91.414 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 91.414 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 91.414 * [taylor]: Taking taylor expansion of phi1 in phi1 91.414 * [backup-simplify]: Simplify 0 into 0 91.414 * [backup-simplify]: Simplify 1 into 1 91.414 * [backup-simplify]: Simplify (/ 1 1) into 1 91.414 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 91.414 * [taylor]: Taking taylor expansion of phi2 in phi1 91.414 * [backup-simplify]: Simplify phi2 into phi2 91.414 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.414 * [backup-simplify]: Simplify (+ 1 0) into 1 91.415 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 91.415 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.415 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.415 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 91.415 * [backup-simplify]: Simplify (- 0) into 0 91.415 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.415 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 91.415 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 91.415 * [taylor]: Taking taylor expansion of -1/2 in phi1 91.415 * [backup-simplify]: Simplify -1/2 into -1/2 91.415 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 91.415 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 91.415 * [taylor]: Taking taylor expansion of phi1 in phi1 91.415 * [backup-simplify]: Simplify 0 into 0 91.416 * [backup-simplify]: Simplify 1 into 1 91.416 * [backup-simplify]: Simplify (/ 1 1) into 1 91.416 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 91.416 * [taylor]: Taking taylor expansion of phi2 in phi1 91.416 * [backup-simplify]: Simplify phi2 into phi2 91.416 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.416 * [backup-simplify]: Simplify (+ 1 0) into 1 91.416 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 91.416 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.417 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 91.418 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 91.418 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 91.418 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 91.418 * [backup-simplify]: Simplify (+ 0 0) into 0 91.419 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 91.419 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 91.419 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 91.420 * [backup-simplify]: Simplify (- 0) into 0 91.420 * [backup-simplify]: Simplify (+ 0 0) into 0 91.420 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 91.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 91.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 91.422 * [backup-simplify]: Simplify (+ 0 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 91.422 * [backup-simplify]: Simplify (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) into (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) 91.422 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) into (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) 91.423 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 91.423 * [backup-simplify]: Simplify (+ 0) into 0 91.423 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 91.423 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 91.423 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 91.424 * [backup-simplify]: Simplify (+ 0 0) into 0 91.424 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 91.424 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 91.425 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 91.425 * [backup-simplify]: Simplify (- 0) into 0 91.425 * [backup-simplify]: Simplify (+ 0 0) into 0 91.425 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 91.426 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 lambda2))) into 0 91.426 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)))) into 0 91.426 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into 0 91.426 * [backup-simplify]: Simplify (+ (/ 2 (* phi1 phi2)) 0) into (* 2 (/ 1 (* phi1 phi2))) 91.426 * [backup-simplify]: Simplify (- (* 2 (/ 1 (* phi1 phi2)))) into (- (* 2 (/ 1 (* phi1 phi2)))) 91.427 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 91.428 * [backup-simplify]: Simplify (/ (- (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (* 2 (/ 1 (* phi1 phi2)))) (pow (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 2) (+)) (* 2 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 91.428 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in lambda2 91.428 * [taylor]: Taking taylor expansion of 1/2 in lambda2 91.428 * [backup-simplify]: Simplify 1/2 into 1/2 91.428 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in lambda2 91.428 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in lambda2 91.428 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in lambda2 91.428 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 91.428 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 91.428 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.428 * [backup-simplify]: Simplify phi2 into phi2 91.428 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 91.428 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 91.428 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 91.428 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 91.428 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.428 * [backup-simplify]: Simplify phi1 into phi1 91.428 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 91.428 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 91.428 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 91.428 * [taylor]: Taking taylor expansion of 2 in lambda2 91.428 * [backup-simplify]: Simplify 2 into 2 91.428 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 91.428 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 91.428 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.428 * [backup-simplify]: Simplify phi1 into phi1 91.428 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.428 * [backup-simplify]: Simplify phi2 into phi2 91.428 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 91.428 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 91.428 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 91.428 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 91.428 * [taylor]: Taking taylor expansion of -1/2 in lambda2 91.429 * [backup-simplify]: Simplify -1/2 into -1/2 91.429 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 91.429 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 91.429 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.429 * [backup-simplify]: Simplify phi1 into phi1 91.429 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.429 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 91.429 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.429 * [backup-simplify]: Simplify phi2 into phi2 91.429 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.429 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 91.429 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 91.429 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.429 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.429 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 91.429 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 91.429 * [backup-simplify]: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) 91.429 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) 91.429 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.430 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 91.430 * [backup-simplify]: Simplify (- 0) into 0 91.430 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.430 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 91.430 * [backup-simplify]: Simplify (+ 0) into 0 91.432 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 91.433 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 91.433 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 91.433 * [backup-simplify]: Simplify (+ 0 0) into 0 91.433 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 91.434 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 91.434 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 91.434 * [backup-simplify]: Simplify (- 0) into 0 91.435 * [backup-simplify]: Simplify (+ 0 0) into 0 91.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (/ 0 1)))) into 0 91.436 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 91.436 * [taylor]: Taking taylor expansion of 0 in phi1 91.436 * [backup-simplify]: Simplify 0 into 0 91.436 * [backup-simplify]: Simplify (+ 0) into 0 91.436 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 91.436 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 91.436 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 91.437 * [backup-simplify]: Simplify (+ 0 0) into 0 91.437 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 91.437 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 91.438 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 91.438 * [backup-simplify]: Simplify (- 0) into 0 91.438 * [backup-simplify]: Simplify (+ 0 0) into 0 91.438 * [taylor]: Taking taylor expansion of 0 in phi1 91.438 * [backup-simplify]: Simplify 0 into 0 91.438 * [backup-simplify]: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 91.438 * [taylor]: Taking taylor expansion of (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi2 91.438 * [taylor]: Taking taylor expansion of -1 in phi2 91.438 * [backup-simplify]: Simplify -1 into -1 91.438 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 91.439 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 91.439 * [taylor]: Taking taylor expansion of -1/2 in phi2 91.439 * [backup-simplify]: Simplify -1/2 into -1/2 91.439 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 91.439 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 91.439 * [taylor]: Taking taylor expansion of phi1 in phi2 91.439 * [backup-simplify]: Simplify phi1 into phi1 91.439 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.439 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 91.439 * [taylor]: Taking taylor expansion of phi2 in phi2 91.439 * [backup-simplify]: Simplify 0 into 0 91.439 * [backup-simplify]: Simplify 1 into 1 91.439 * [backup-simplify]: Simplify (/ 1 1) into 1 91.439 * [backup-simplify]: Simplify (+ 0 1) into 1 91.440 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 91.440 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.440 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 91.440 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 91.440 * [taylor]: Taking taylor expansion of -1/2 in phi2 91.440 * [backup-simplify]: Simplify -1/2 into -1/2 91.440 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 91.440 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 91.440 * [taylor]: Taking taylor expansion of phi1 in phi2 91.440 * [backup-simplify]: Simplify phi1 into phi1 91.440 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.440 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 91.440 * [taylor]: Taking taylor expansion of phi2 in phi2 91.440 * [backup-simplify]: Simplify 0 into 0 91.440 * [backup-simplify]: Simplify 1 into 1 91.440 * [backup-simplify]: Simplify (/ 1 1) into 1 91.441 * [backup-simplify]: Simplify (+ 0 1) into 1 91.441 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 91.441 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.441 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 91.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))))) into 0 91.441 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 91.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))))) into 0 91.442 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 91.442 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 91.442 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 91.443 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 91.443 * [backup-simplify]: Simplify (+ 0 0) into 0 91.443 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 91.444 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 91.445 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 91.445 * [backup-simplify]: Simplify (- 0) into 0 91.445 * [backup-simplify]: Simplify (+ 0 0) into 0 91.446 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into 0 91.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 91.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 91.448 * [backup-simplify]: Simplify (+ 0) into 0 91.448 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 91.448 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 91.448 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 91.449 * [backup-simplify]: Simplify (+ 0 0) into 0 91.449 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 91.449 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 91.450 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 91.450 * [backup-simplify]: Simplify (- 0) into 0 91.450 * [backup-simplify]: Simplify (+ 0 0) into 0 91.450 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 91.450 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 91.451 * [backup-simplify]: Simplify (- (/ 0 (pow lambda2 2)) (+ (* (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (/ 0 (pow lambda2 2))))) into 0 91.451 * [backup-simplify]: Simplify (+ 0 0) into 0 91.451 * [backup-simplify]: Simplify (+ 0 0) into 0 91.451 * [backup-simplify]: Simplify (+ 0 0) into 0 91.451 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 91.451 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))))) into 0 91.452 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (* phi1 phi2)))) into 0 91.452 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 91.453 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 91.453 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 91.453 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 91.453 * [backup-simplify]: Simplify (+ 0 0) into 0 91.454 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 91.454 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 91.455 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 91.455 * [backup-simplify]: Simplify (- 0) into 0 91.455 * [backup-simplify]: Simplify (+ 0 0) into 0 91.455 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 91.456 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 lambda2)))) into 0 91.456 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 91.457 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into 0 91.457 * [backup-simplify]: Simplify (+ 0 0) into 0 91.457 * [backup-simplify]: Simplify (- 0) into 0 91.458 * [backup-simplify]: Simplify (+ 0 0) into 0 91.458 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))))) (* 2 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 91.458 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in lambda2 91.458 * [taylor]: Taking taylor expansion of 1/2 in lambda2 91.458 * [backup-simplify]: Simplify 1/2 into 1/2 91.458 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in lambda2 91.458 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) in lambda2 91.458 * [taylor]: Taking taylor expansion of (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) in lambda2 91.458 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (pow phi2 2))) in lambda2 91.458 * [taylor]: Taking taylor expansion of (* lambda2 (pow phi2 2)) in lambda2 91.458 * [taylor]: Taking taylor expansion of lambda2 in lambda2 91.458 * [backup-simplify]: Simplify 0 into 0 91.459 * [backup-simplify]: Simplify 1 into 1 91.459 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 91.459 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.459 * [backup-simplify]: Simplify phi2 into phi2 91.459 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 91.459 * [backup-simplify]: Simplify (* 0 (pow phi2 2)) into 0 91.459 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 91.459 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow phi2 2))) into (pow phi2 2) 91.459 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 91.459 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (pow phi1 2))) in lambda2 91.459 * [taylor]: Taking taylor expansion of (* lambda2 (pow phi1 2)) in lambda2 91.459 * [taylor]: Taking taylor expansion of lambda2 in lambda2 91.459 * [backup-simplify]: Simplify 0 into 0 91.459 * [backup-simplify]: Simplify 1 into 1 91.459 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 91.459 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.459 * [backup-simplify]: Simplify phi1 into phi1 91.459 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 91.459 * [backup-simplify]: Simplify (* 0 (pow phi1 2)) into 0 91.459 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 91.460 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow phi1 2))) into (pow phi1 2) 91.460 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 91.460 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* lambda2 (* phi1 phi2)))) in lambda2 91.460 * [taylor]: Taking taylor expansion of 2 in lambda2 91.460 * [backup-simplify]: Simplify 2 into 2 91.460 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (* phi1 phi2))) in lambda2 91.460 * [taylor]: Taking taylor expansion of (* lambda2 (* phi1 phi2)) in lambda2 91.460 * [taylor]: Taking taylor expansion of lambda2 in lambda2 91.460 * [backup-simplify]: Simplify 0 into 0 91.460 * [backup-simplify]: Simplify 1 into 1 91.460 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 91.460 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.460 * [backup-simplify]: Simplify phi1 into phi1 91.460 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.460 * [backup-simplify]: Simplify phi2 into phi2 91.460 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 91.460 * [backup-simplify]: Simplify (* 0 (* phi1 phi2)) into 0 91.460 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 91.460 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* phi1 phi2))) into (* phi1 phi2) 91.460 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 91.460 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 91.460 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 91.460 * [taylor]: Taking taylor expansion of -1/2 in lambda2 91.460 * [backup-simplify]: Simplify -1/2 into -1/2 91.460 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 91.460 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 91.460 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.460 * [backup-simplify]: Simplify phi1 into phi1 91.460 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.460 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 91.461 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.461 * [backup-simplify]: Simplify phi2 into phi2 91.461 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.461 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 91.461 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 91.461 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.461 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.461 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 91.461 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 91.461 * [backup-simplify]: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) 91.461 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) 91.461 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.461 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 91.462 * [backup-simplify]: Simplify (- 0) into 0 91.462 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.462 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 91.462 * [backup-simplify]: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 91.462 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in phi1 91.462 * [taylor]: Taking taylor expansion of 1/2 in phi1 91.462 * [backup-simplify]: Simplify 1/2 into 1/2 91.462 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 91.462 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1 91.462 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in phi1 91.462 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 91.462 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 91.462 * [taylor]: Taking taylor expansion of phi2 in phi1 91.462 * [backup-simplify]: Simplify phi2 into phi2 91.462 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 91.462 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 91.463 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 91.463 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 91.463 * [taylor]: Taking taylor expansion of phi1 in phi1 91.463 * [backup-simplify]: Simplify 0 into 0 91.463 * [backup-simplify]: Simplify 1 into 1 91.463 * [backup-simplify]: Simplify (* 1 1) into 1 91.463 * [backup-simplify]: Simplify (/ 1 1) into 1 91.463 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 91.463 * [taylor]: Taking taylor expansion of 2 in phi1 91.463 * [backup-simplify]: Simplify 2 into 2 91.463 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 91.463 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 91.463 * [taylor]: Taking taylor expansion of phi1 in phi1 91.463 * [backup-simplify]: Simplify 0 into 0 91.463 * [backup-simplify]: Simplify 1 into 1 91.463 * [taylor]: Taking taylor expansion of phi2 in phi1 91.463 * [backup-simplify]: Simplify phi2 into phi2 91.463 * [backup-simplify]: Simplify (* 0 phi2) into 0 91.464 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 91.464 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.464 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 91.464 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 91.464 * [taylor]: Taking taylor expansion of -1/2 in phi1 91.464 * [backup-simplify]: Simplify -1/2 into -1/2 91.464 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 91.464 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 91.464 * [taylor]: Taking taylor expansion of phi1 in phi1 91.464 * [backup-simplify]: Simplify 0 into 0 91.464 * [backup-simplify]: Simplify 1 into 1 91.464 * [backup-simplify]: Simplify (/ 1 1) into 1 91.464 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 91.464 * [taylor]: Taking taylor expansion of phi2 in phi1 91.464 * [backup-simplify]: Simplify phi2 into phi2 91.464 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.464 * [backup-simplify]: Simplify (+ 1 0) into 1 91.465 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 91.465 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.465 * [backup-simplify]: Simplify (+ 0 1) into 1 91.465 * [backup-simplify]: Simplify (+ 1 0) into 1 91.465 * [backup-simplify]: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 91.466 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 91.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 91.466 * [backup-simplify]: Simplify (+ 0 0) into 0 91.467 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 91.467 * [backup-simplify]: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2))) 91.467 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 91.467 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (+ (* (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)))) 91.467 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))) (* 0 (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) 91.467 * [taylor]: Taking taylor expansion of (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) in phi2 91.467 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)) in phi2 91.467 * [taylor]: Taking taylor expansion of (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2) in phi2 91.467 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 91.467 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 91.467 * [taylor]: Taking taylor expansion of -1/2 in phi2 91.467 * [backup-simplify]: Simplify -1/2 into -1/2 91.467 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 91.467 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 91.467 * [taylor]: Taking taylor expansion of phi1 in phi2 91.467 * [backup-simplify]: Simplify phi1 into phi1 91.467 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.467 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 91.467 * [taylor]: Taking taylor expansion of phi2 in phi2 91.467 * [backup-simplify]: Simplify 0 into 0 91.467 * [backup-simplify]: Simplify 1 into 1 91.468 * [backup-simplify]: Simplify (/ 1 1) into 1 91.468 * [backup-simplify]: Simplify (+ 0 1) into 1 91.468 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 91.468 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.468 * [taylor]: Taking taylor expansion of phi2 in phi2 91.469 * [backup-simplify]: Simplify 0 into 0 91.469 * [backup-simplify]: Simplify 1 into 1 91.469 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 91.469 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) (* 0 0)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.469 * [backup-simplify]: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 91.469 * [backup-simplify]: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 91.469 * [backup-simplify]: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 91.470 * [backup-simplify]: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 91.470 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in phi1 91.470 * [taylor]: Taking taylor expansion of 1/2 in phi1 91.470 * [backup-simplify]: Simplify 1/2 into 1/2 91.470 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 91.470 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1 91.470 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in phi1 91.470 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 91.470 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 91.470 * [taylor]: Taking taylor expansion of phi2 in phi1 91.470 * [backup-simplify]: Simplify phi2 into phi2 91.470 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 91.470 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 91.470 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 91.470 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 91.470 * [taylor]: Taking taylor expansion of phi1 in phi1 91.470 * [backup-simplify]: Simplify 0 into 0 91.470 * [backup-simplify]: Simplify 1 into 1 91.470 * [backup-simplify]: Simplify (* 1 1) into 1 91.471 * [backup-simplify]: Simplify (/ 1 1) into 1 91.471 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 91.471 * [taylor]: Taking taylor expansion of 2 in phi1 91.471 * [backup-simplify]: Simplify 2 into 2 91.471 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 91.471 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 91.471 * [taylor]: Taking taylor expansion of phi1 in phi1 91.471 * [backup-simplify]: Simplify 0 into 0 91.471 * [backup-simplify]: Simplify 1 into 1 91.471 * [taylor]: Taking taylor expansion of phi2 in phi1 91.471 * [backup-simplify]: Simplify phi2 into phi2 91.471 * [backup-simplify]: Simplify (* 0 phi2) into 0 91.471 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 91.471 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.471 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 91.471 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 91.471 * [taylor]: Taking taylor expansion of -1/2 in phi1 91.471 * [backup-simplify]: Simplify -1/2 into -1/2 91.471 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 91.471 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 91.471 * [taylor]: Taking taylor expansion of phi1 in phi1 91.471 * [backup-simplify]: Simplify 0 into 0 91.471 * [backup-simplify]: Simplify 1 into 1 91.471 * [backup-simplify]: Simplify (/ 1 1) into 1 91.471 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 91.471 * [taylor]: Taking taylor expansion of phi2 in phi1 91.471 * [backup-simplify]: Simplify phi2 into phi2 91.472 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.472 * [backup-simplify]: Simplify (+ 1 0) into 1 91.472 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 91.472 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.472 * [backup-simplify]: Simplify (+ 0 1) into 1 91.473 * [backup-simplify]: Simplify (+ 1 0) into 1 91.473 * [backup-simplify]: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 91.473 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 91.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 91.474 * [backup-simplify]: Simplify (+ 0 0) into 0 91.474 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 91.474 * [backup-simplify]: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2))) 91.474 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 91.474 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (+ (* (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)))) 91.474 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))) (* 0 (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) 91.475 * [taylor]: Taking taylor expansion of (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) in phi2 91.475 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)) in phi2 91.475 * [taylor]: Taking taylor expansion of (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2) in phi2 91.475 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 91.475 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 91.475 * [taylor]: Taking taylor expansion of -1/2 in phi2 91.475 * [backup-simplify]: Simplify -1/2 into -1/2 91.475 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 91.475 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 91.475 * [taylor]: Taking taylor expansion of phi1 in phi2 91.475 * [backup-simplify]: Simplify phi1 into phi1 91.475 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.475 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 91.475 * [taylor]: Taking taylor expansion of phi2 in phi2 91.475 * [backup-simplify]: Simplify 0 into 0 91.475 * [backup-simplify]: Simplify 1 into 1 91.475 * [backup-simplify]: Simplify (/ 1 1) into 1 91.475 * [backup-simplify]: Simplify (+ 0 1) into 1 91.476 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 91.476 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.476 * [taylor]: Taking taylor expansion of phi2 in phi2 91.476 * [backup-simplify]: Simplify 0 into 0 91.476 * [backup-simplify]: Simplify 1 into 1 91.476 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 91.476 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) (* 0 0)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.476 * [backup-simplify]: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 91.476 * [backup-simplify]: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 91.477 * [backup-simplify]: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 91.478 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 91.478 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 91.478 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 91.479 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 91.479 * [backup-simplify]: Simplify (+ 0 0) into 0 91.480 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 91.481 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 91.481 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 91.482 * [backup-simplify]: Simplify (- 0) into 0 91.482 * [backup-simplify]: Simplify (+ 0 0) into 0 91.484 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 91.484 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 91.485 * [taylor]: Taking taylor expansion of 0 in phi1 91.485 * [backup-simplify]: Simplify 0 into 0 91.486 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 91.486 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 91.487 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 91.487 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 91.487 * [backup-simplify]: Simplify (+ 0 0) into 0 91.488 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 91.489 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 91.489 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 91.490 * [backup-simplify]: Simplify (- 0) into 0 91.490 * [backup-simplify]: Simplify (+ 0 0) into 0 91.490 * [taylor]: Taking taylor expansion of 0 in phi1 91.490 * [backup-simplify]: Simplify 0 into 0 91.490 * [taylor]: Taking taylor expansion of 0 in phi2 91.490 * [backup-simplify]: Simplify 0 into 0 91.490 * [taylor]: Taking taylor expansion of 0 in phi2 91.490 * [backup-simplify]: Simplify 0 into 0 91.491 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 91.491 * [taylor]: Taking taylor expansion of 0 in phi2 91.491 * [backup-simplify]: Simplify 0 into 0 91.491 * [taylor]: Taking taylor expansion of 0 in phi2 91.491 * [backup-simplify]: Simplify 0 into 0 91.491 * [backup-simplify]: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 91.492 * [backup-simplify]: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 91.493 * [backup-simplify]: Simplify (+ (* (* -1 (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2))))))) (* 1 (* 1 (* (/ 1 (/ 1 (- lambda2))) 1)))) (+ (* (- (/ 1 (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))))) (* (/ 1 (/ 1 (- phi2))) (* (/ 1 (/ 1 (- phi1))) (* 1 (/ 1 (- lambda1)))))) (* (- (/ 1 (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))))) (* (/ 1 (/ 1 (- phi2))) (* (/ 1 (/ 1 (- phi1))) (* (/ 1 (/ 1 (- lambda2))) (pow (/ 1 (- lambda1)) 2))))))) into (+ (/ (* lambda2 (* phi1 phi2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2))))) (+ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) (/ (* phi1 phi2) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))))) 91.493 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2) 91.494 * [backup-simplify]: Simplify (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) into (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) 91.494 * [approximate]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in (lambda1 lambda2 phi1 phi2) around 0 91.494 * [taylor]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in phi2 91.494 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in phi2 91.494 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in phi2 91.494 * [taylor]: Taking taylor expansion of 1/3 in phi2 91.494 * [backup-simplify]: Simplify 1/3 into 1/3 91.494 * [taylor]: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in phi2 91.494 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi2 91.494 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi2 91.494 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi2 91.494 * [taylor]: Taking taylor expansion of lambda1 in phi2 91.494 * [backup-simplify]: Simplify lambda1 into lambda1 91.494 * [taylor]: Taking taylor expansion of lambda2 in phi2 91.494 * [backup-simplify]: Simplify lambda2 into lambda2 91.494 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 91.494 * [backup-simplify]: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) 91.494 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 91.494 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 91.494 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 91.494 * [taylor]: Taking taylor expansion of 1/2 in phi2 91.494 * [backup-simplify]: Simplify 1/2 into 1/2 91.494 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 91.494 * [taylor]: Taking taylor expansion of phi1 in phi2 91.494 * [backup-simplify]: Simplify phi1 into phi1 91.494 * [taylor]: Taking taylor expansion of phi2 in phi2 91.494 * [backup-simplify]: Simplify 0 into 0 91.494 * [backup-simplify]: Simplify 1 into 1 91.494 * [backup-simplify]: Simplify (+ phi1 0) into phi1 91.495 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 91.495 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 91.495 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 91.495 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 91.495 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0 91.495 * [backup-simplify]: Simplify (- 0) into 0 91.496 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 91.496 * [backup-simplify]: Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2) 91.496 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2) 91.496 * [backup-simplify]: Simplify (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) into (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) 91.496 * [backup-simplify]: Simplify (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))) into (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))) 91.496 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)))) into (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)))) 91.497 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))))) into (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) 1/3) 91.497 * [taylor]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in phi1 91.497 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in phi1 91.497 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in phi1 91.497 * [taylor]: Taking taylor expansion of 1/3 in phi1 91.497 * [backup-simplify]: Simplify 1/3 into 1/3 91.497 * [taylor]: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in phi1 91.497 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 91.497 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi1 91.497 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi1 91.497 * [taylor]: Taking taylor expansion of lambda1 in phi1 91.497 * [backup-simplify]: Simplify lambda1 into lambda1 91.497 * [taylor]: Taking taylor expansion of lambda2 in phi1 91.497 * [backup-simplify]: Simplify lambda2 into lambda2 91.497 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 91.497 * [backup-simplify]: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) 91.497 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 91.497 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 91.497 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 91.497 * [taylor]: Taking taylor expansion of 1/2 in phi1 91.497 * [backup-simplify]: Simplify 1/2 into 1/2 91.497 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 91.497 * [taylor]: Taking taylor expansion of phi1 in phi1 91.497 * [backup-simplify]: Simplify 0 into 0 91.497 * [backup-simplify]: Simplify 1 into 1 91.497 * [taylor]: Taking taylor expansion of phi2 in phi1 91.497 * [backup-simplify]: Simplify phi2 into phi2 91.498 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 91.498 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 91.498 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 91.498 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 91.498 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 91.498 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 91.498 * [backup-simplify]: Simplify (- 0) into 0 91.498 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 91.499 * [backup-simplify]: Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2) 91.499 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 91.499 * [backup-simplify]: Simplify (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)) into (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 91.499 * [backup-simplify]: Simplify (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) into (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) 91.499 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) 91.499 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))) into (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3) 91.500 * [taylor]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in lambda2 91.500 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in lambda2 91.500 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda2 91.500 * [taylor]: Taking taylor expansion of 1/3 in lambda2 91.500 * [backup-simplify]: Simplify 1/3 into 1/3 91.500 * [taylor]: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda2 91.500 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 91.500 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda2 91.500 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 91.500 * [taylor]: Taking taylor expansion of lambda1 in lambda2 91.500 * [backup-simplify]: Simplify lambda1 into lambda1 91.500 * [taylor]: Taking taylor expansion of lambda2 in lambda2 91.500 * [backup-simplify]: Simplify 0 into 0 91.500 * [backup-simplify]: Simplify 1 into 1 91.500 * [backup-simplify]: Simplify (- 0) into 0 91.500 * [backup-simplify]: Simplify (+ lambda1 0) into lambda1 91.500 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 91.500 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 91.500 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 91.500 * [taylor]: Taking taylor expansion of 1/2 in lambda2 91.500 * [backup-simplify]: Simplify 1/2 into 1/2 91.500 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 91.500 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.501 * [backup-simplify]: Simplify phi1 into phi1 91.501 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.501 * [backup-simplify]: Simplify phi2 into phi2 91.501 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 91.501 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 91.501 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 91.501 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 91.501 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 91.501 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 91.501 * [backup-simplify]: Simplify (- 0) into 0 91.502 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 91.502 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 91.502 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 91.502 * [backup-simplify]: Simplify (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) 91.502 * [backup-simplify]: Simplify (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))) into (log (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 91.502 * [backup-simplify]: Simplify (* 1/3 (log (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)))) 91.503 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))))) into (pow (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) 91.503 * [taylor]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in lambda1 91.503 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in lambda1 91.503 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda1 91.503 * [taylor]: Taking taylor expansion of 1/3 in lambda1 91.503 * [backup-simplify]: Simplify 1/3 into 1/3 91.503 * [taylor]: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda1 91.503 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 91.503 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda1 91.503 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 91.503 * [taylor]: Taking taylor expansion of lambda1 in lambda1 91.503 * [backup-simplify]: Simplify 0 into 0 91.503 * [backup-simplify]: Simplify 1 into 1 91.503 * [taylor]: Taking taylor expansion of lambda2 in lambda1 91.503 * [backup-simplify]: Simplify lambda2 into lambda2 91.503 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 91.503 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 91.503 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 91.503 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 91.503 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 91.503 * [taylor]: Taking taylor expansion of 1/2 in lambda1 91.503 * [backup-simplify]: Simplify 1/2 into 1/2 91.503 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 91.503 * [taylor]: Taking taylor expansion of phi1 in lambda1 91.503 * [backup-simplify]: Simplify phi1 into phi1 91.503 * [taylor]: Taking taylor expansion of phi2 in lambda1 91.503 * [backup-simplify]: Simplify phi2 into phi2 91.503 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 91.503 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 91.503 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 91.504 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 91.504 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 91.504 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 91.504 * [backup-simplify]: Simplify (- 0) into 0 91.504 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 91.504 * [backup-simplify]: Simplify (* (- lambda2) (- lambda2)) into (pow lambda2 2) 91.505 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 91.505 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 91.505 * [backup-simplify]: Simplify (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 91.505 * [backup-simplify]: Simplify (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 91.505 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) 91.506 * [taylor]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in lambda1 91.506 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in lambda1 91.506 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda1 91.506 * [taylor]: Taking taylor expansion of 1/3 in lambda1 91.506 * [backup-simplify]: Simplify 1/3 into 1/3 91.506 * [taylor]: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda1 91.506 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 91.506 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda1 91.506 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 91.506 * [taylor]: Taking taylor expansion of lambda1 in lambda1 91.506 * [backup-simplify]: Simplify 0 into 0 91.506 * [backup-simplify]: Simplify 1 into 1 91.506 * [taylor]: Taking taylor expansion of lambda2 in lambda1 91.506 * [backup-simplify]: Simplify lambda2 into lambda2 91.506 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 91.506 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 91.506 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 91.506 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 91.506 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 91.506 * [taylor]: Taking taylor expansion of 1/2 in lambda1 91.506 * [backup-simplify]: Simplify 1/2 into 1/2 91.506 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 91.506 * [taylor]: Taking taylor expansion of phi1 in lambda1 91.506 * [backup-simplify]: Simplify phi1 into phi1 91.506 * [taylor]: Taking taylor expansion of phi2 in lambda1 91.506 * [backup-simplify]: Simplify phi2 into phi2 91.506 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 91.506 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 91.506 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 91.507 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 91.507 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 91.507 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 91.507 * [backup-simplify]: Simplify (- 0) into 0 91.507 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 91.507 * [backup-simplify]: Simplify (* (- lambda2) (- lambda2)) into (pow lambda2 2) 91.508 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 91.508 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 91.508 * [backup-simplify]: Simplify (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 91.508 * [backup-simplify]: Simplify (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 91.508 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) 91.509 * [taylor]: Taking taylor expansion of (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in lambda2 91.509 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in lambda2 91.509 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda2 91.509 * [taylor]: Taking taylor expansion of 1/3 in lambda2 91.509 * [backup-simplify]: Simplify 1/3 into 1/3 91.509 * [taylor]: Taking taylor expansion of (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda2 91.509 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 91.509 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 91.509 * [taylor]: Taking taylor expansion of lambda2 in lambda2 91.509 * [backup-simplify]: Simplify 0 into 0 91.509 * [backup-simplify]: Simplify 1 into 1 91.509 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 91.509 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 91.509 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 91.509 * [taylor]: Taking taylor expansion of 1/2 in lambda2 91.509 * [backup-simplify]: Simplify 1/2 into 1/2 91.509 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 91.509 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.509 * [backup-simplify]: Simplify phi1 into phi1 91.509 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.509 * [backup-simplify]: Simplify phi2 into phi2 91.509 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 91.509 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 91.509 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 91.509 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 91.509 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 91.510 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 91.510 * [backup-simplify]: Simplify (- 0) into 0 91.510 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 91.510 * [backup-simplify]: Simplify (* 1 1) into 1 91.511 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 91.511 * [backup-simplify]: Simplify (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 91.511 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 91.511 * [backup-simplify]: Simplify (+ (* (- -2) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))) 91.512 * [backup-simplify]: Simplify (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))) into (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))) 91.512 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) 91.512 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) in phi1 91.512 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))) in phi1 91.512 * [taylor]: Taking taylor expansion of 1/3 in phi1 91.512 * [backup-simplify]: Simplify 1/3 into 1/3 91.512 * [taylor]: Taking taylor expansion of (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))) in phi1 91.512 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 91.512 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 91.512 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 91.512 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 91.512 * [taylor]: Taking taylor expansion of 1/2 in phi1 91.512 * [backup-simplify]: Simplify 1/2 into 1/2 91.512 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 91.512 * [taylor]: Taking taylor expansion of phi1 in phi1 91.512 * [backup-simplify]: Simplify 0 into 0 91.512 * [backup-simplify]: Simplify 1 into 1 91.512 * [taylor]: Taking taylor expansion of phi2 in phi1 91.513 * [backup-simplify]: Simplify phi2 into phi2 91.513 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 91.513 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 91.513 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 91.513 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 91.513 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 91.513 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 91.513 * [backup-simplify]: Simplify (- 0) into 0 91.513 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 91.514 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 91.514 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 phi2)) 2)) into (log (pow (cos (* 1/2 phi2)) 2)) 91.514 * [taylor]: Taking taylor expansion of (* 2 (log lambda2)) in phi1 91.514 * [taylor]: Taking taylor expansion of 2 in phi1 91.514 * [backup-simplify]: Simplify 2 into 2 91.514 * [taylor]: Taking taylor expansion of (log lambda2) in phi1 91.514 * [taylor]: Taking taylor expansion of lambda2 in phi1 91.514 * [backup-simplify]: Simplify lambda2 into lambda2 91.514 * [backup-simplify]: Simplify (log lambda2) into (log lambda2) 91.514 * [backup-simplify]: Simplify (* 2 (log lambda2)) into (* 2 (log lambda2)) 91.514 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) into (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) 91.514 * [backup-simplify]: Simplify (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))) into (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))) 91.515 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) 91.515 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) in phi2 91.515 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))) in phi2 91.515 * [taylor]: Taking taylor expansion of 1/3 in phi2 91.515 * [backup-simplify]: Simplify 1/3 into 1/3 91.515 * [taylor]: Taking taylor expansion of (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) in phi2 91.515 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2 91.515 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 91.515 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 91.515 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 91.515 * [taylor]: Taking taylor expansion of 1/2 in phi2 91.515 * [backup-simplify]: Simplify 1/2 into 1/2 91.515 * [taylor]: Taking taylor expansion of phi2 in phi2 91.515 * [backup-simplify]: Simplify 0 into 0 91.515 * [backup-simplify]: Simplify 1 into 1 91.515 * [backup-simplify]: Simplify (* 1/2 0) into 0 91.516 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 91.517 * [backup-simplify]: Simplify (* 1 1) into 1 91.517 * [backup-simplify]: Simplify (log 1) into 0 91.517 * [taylor]: Taking taylor expansion of (* 2 (log lambda2)) in phi2 91.517 * [taylor]: Taking taylor expansion of 2 in phi2 91.517 * [backup-simplify]: Simplify 2 into 2 91.517 * [taylor]: Taking taylor expansion of (log lambda2) in phi2 91.517 * [taylor]: Taking taylor expansion of lambda2 in phi2 91.517 * [backup-simplify]: Simplify lambda2 into lambda2 91.517 * [backup-simplify]: Simplify (log lambda2) into (log lambda2) 91.517 * [backup-simplify]: Simplify (* 2 (log lambda2)) into (* 2 (log lambda2)) 91.517 * [backup-simplify]: Simplify (+ 0 (* 2 (log lambda2))) into (* 2 (log lambda2)) 91.517 * [backup-simplify]: Simplify (* 1/3 (* 2 (log lambda2))) into (* 2/3 (log lambda2)) 91.517 * [backup-simplify]: Simplify (exp (* 2/3 (log lambda2))) into (pow lambda2 2/3) 91.518 * [backup-simplify]: Simplify (pow lambda2 2/3) into (pow lambda2 2/3) 91.518 * [backup-simplify]: Simplify (+ 0) into 0 91.518 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 91.519 * [backup-simplify]: Simplify (+ 0 0) into 0 91.519 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 91.520 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 91.521 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 91.521 * [backup-simplify]: Simplify (- 0) into 0 91.521 * [backup-simplify]: Simplify (+ 0 0) into 0 91.522 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 91.522 * [backup-simplify]: Simplify (- 0) into 0 91.522 * [backup-simplify]: Simplify (+ 1 0) into 1 91.522 * [backup-simplify]: Simplify (+ (* (- lambda2) 1) (* 1 (- lambda2))) into (- (* 2 lambda2)) 91.523 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (* (- (* 2 lambda2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 91.523 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 1)) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)))) 1) into (/ -2 lambda2) 91.524 * [backup-simplify]: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (- (* 2/3 (/ 1 lambda2))) 91.524 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3)) 91.524 * [taylor]: Taking taylor expansion of (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3)) in lambda2 91.524 * [taylor]: Taking taylor expansion of -2/3 in lambda2 91.524 * [backup-simplify]: Simplify -2/3 into -2/3 91.524 * [taylor]: Taking taylor expansion of (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3) in lambda2 91.524 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)))) in lambda2 91.524 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2))) in lambda2 91.524 * [taylor]: Taking taylor expansion of 1/3 in lambda2 91.524 * [backup-simplify]: Simplify 1/3 into 1/3 91.524 * [taylor]: Taking taylor expansion of (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)) in lambda2 91.524 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) in lambda2 91.524 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 91.524 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 91.525 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 91.525 * [taylor]: Taking taylor expansion of 1/2 in lambda2 91.525 * [backup-simplify]: Simplify 1/2 into 1/2 91.525 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 91.525 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.525 * [backup-simplify]: Simplify phi1 into phi1 91.525 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.525 * [backup-simplify]: Simplify phi2 into phi2 91.525 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 91.525 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 91.525 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 91.525 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 91.525 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 91.525 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 91.526 * [backup-simplify]: Simplify (- 0) into 0 91.526 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 91.526 * [taylor]: Taking taylor expansion of lambda2 in lambda2 91.526 * [backup-simplify]: Simplify 0 into 0 91.526 * [backup-simplify]: Simplify 1 into 1 91.526 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 91.526 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 91.526 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 91.527 * [backup-simplify]: Simplify (+ (* (- 1) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)) 91.527 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))) 91.527 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))) 91.527 * [backup-simplify]: Simplify (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))))) into (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))))) 91.527 * [taylor]: Taking taylor expansion of (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))))) in phi1 91.527 * [taylor]: Taking taylor expansion of -2/3 in phi1 91.528 * [backup-simplify]: Simplify -2/3 into -2/3 91.528 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))) in phi1 91.528 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))) in phi1 91.528 * [taylor]: Taking taylor expansion of 1/3 in phi1 91.528 * [backup-simplify]: Simplify 1/3 into 1/3 91.528 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)) in phi1 91.528 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 91.528 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 91.528 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 91.528 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 91.528 * [taylor]: Taking taylor expansion of 1/2 in phi1 91.528 * [backup-simplify]: Simplify 1/2 into 1/2 91.528 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 91.528 * [taylor]: Taking taylor expansion of phi1 in phi1 91.528 * [backup-simplify]: Simplify 0 into 0 91.528 * [backup-simplify]: Simplify 1 into 1 91.528 * [taylor]: Taking taylor expansion of phi2 in phi1 91.528 * [backup-simplify]: Simplify phi2 into phi2 91.528 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 91.528 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 91.528 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 91.528 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 91.528 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 91.528 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 91.529 * [backup-simplify]: Simplify (- 0) into 0 91.529 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 91.529 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 91.529 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 phi2)) 2)) into (log (pow (cos (* 1/2 phi2)) 2)) 91.529 * [taylor]: Taking taylor expansion of (log lambda2) in phi1 91.529 * [taylor]: Taking taylor expansion of lambda2 in phi1 91.529 * [backup-simplify]: Simplify lambda2 into lambda2 91.529 * [backup-simplify]: Simplify (log lambda2) into (log lambda2) 91.529 * [backup-simplify]: Simplify (- (log lambda2)) into (- (log lambda2)) 91.529 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 phi2)) 2)) (- (log lambda2))) into (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)) 91.530 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))) into (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))) 91.530 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)))) 91.530 * [backup-simplify]: Simplify (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))))) into (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))))) 91.530 * [taylor]: Taking taylor expansion of (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))))) in phi2 91.530 * [taylor]: Taking taylor expansion of -2/3 in phi2 91.530 * [backup-simplify]: Simplify -2/3 into -2/3 91.530 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)))) in phi2 91.530 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))) in phi2 91.530 * [taylor]: Taking taylor expansion of 1/3 in phi2 91.530 * [backup-simplify]: Simplify 1/3 into 1/3 91.530 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)) in phi2 91.530 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2 91.530 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 91.530 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 91.530 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 91.530 * [taylor]: Taking taylor expansion of 1/2 in phi2 91.530 * [backup-simplify]: Simplify 1/2 into 1/2 91.530 * [taylor]: Taking taylor expansion of phi2 in phi2 91.530 * [backup-simplify]: Simplify 0 into 0 91.530 * [backup-simplify]: Simplify 1 into 1 91.531 * [backup-simplify]: Simplify (* 1/2 0) into 0 91.532 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 91.532 * [backup-simplify]: Simplify (* 1 1) into 1 91.532 * [backup-simplify]: Simplify (log 1) into 0 91.532 * [taylor]: Taking taylor expansion of (log lambda2) in phi2 91.532 * [taylor]: Taking taylor expansion of lambda2 in phi2 91.532 * [backup-simplify]: Simplify lambda2 into lambda2 91.532 * [backup-simplify]: Simplify (log lambda2) into (log lambda2) 91.533 * [backup-simplify]: Simplify (- (log lambda2)) into (- (log lambda2)) 91.533 * [backup-simplify]: Simplify (+ 0 (- (log lambda2))) into (- (log lambda2)) 91.533 * [backup-simplify]: Simplify (* 1/3 (- (log lambda2))) into (* -1/3 (log lambda2)) 91.533 * [backup-simplify]: Simplify (exp (* -1/3 (log lambda2))) into (pow lambda2 -1/3) 91.533 * [backup-simplify]: Simplify (* -2/3 (pow lambda2 -1/3)) into (* -2/3 (pow (/ 1 lambda2) 1/3)) 91.533 * [backup-simplify]: Simplify (* -2/3 (pow (/ 1 lambda2) 1/3)) into (* -2/3 (pow (/ 1 lambda2) 1/3)) 91.533 * [backup-simplify]: Simplify (+ 0) into 0 91.534 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 91.534 * [backup-simplify]: Simplify (+ 0 0) into 0 91.535 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 91.536 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 91.536 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 91.536 * [backup-simplify]: Simplify (- 0) into 0 91.537 * [backup-simplify]: Simplify (+ 0 0) into 0 91.537 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 91.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 91.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into 0 91.539 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1)))) 1) into 0 91.540 * [backup-simplify]: Simplify (+ (* (- -2) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))) 91.541 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) into 0 91.542 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) (+ (* (/ (pow 0 1) 1)))) into 0 91.542 * [taylor]: Taking taylor expansion of 0 in phi1 91.542 * [backup-simplify]: Simplify 0 into 0 91.542 * [taylor]: Taking taylor expansion of 0 in phi2 91.542 * [backup-simplify]: Simplify 0 into 0 91.542 * [backup-simplify]: Simplify 0 into 0 91.542 * [backup-simplify]: Simplify (+ 0) into 0 91.543 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 91.543 * [backup-simplify]: Simplify (+ 1 0) into 1 91.544 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 91.544 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 91.545 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 91.545 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 91.545 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 91.545 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) (- (* 1/2 (sin (* 1/2 phi2))))) (* (- (* 1/2 (sin (* 1/2 phi2)))) (cos (* 1/2 phi2)))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) 91.546 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))))) 1)) (pow (pow (cos (* 1/2 phi2)) 2) 1)))) 1) into (* -1 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) 91.547 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0 91.547 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0 91.548 * [backup-simplify]: Simplify (+ (* -1 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) 0) into (- (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) 91.548 * [backup-simplify]: Simplify (+ (* 1/3 (- (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2))))) (* 0 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) into (- (* 1/3 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2))))) 91.549 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) (+ (* (/ (pow (- (* 1/3 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2))))) 1) 1)))) into (* -1/3 (/ (* (sin (* 1/2 phi2)) (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))))) (cos (* 1/2 phi2)))) 91.549 * [taylor]: Taking taylor expansion of (* -1/3 (/ (* (sin (* 1/2 phi2)) (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))))) (cos (* 1/2 phi2)))) in phi2 91.549 * [taylor]: Taking taylor expansion of -1/3 in phi2 91.549 * [backup-simplify]: Simplify -1/3 into -1/3 91.549 * [taylor]: Taking taylor expansion of (/ (* (sin (* 1/2 phi2)) (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))))) (cos (* 1/2 phi2))) in phi2 91.549 * [taylor]: Taking taylor expansion of (* (sin (* 1/2 phi2)) (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))))) in phi2 91.549 * [taylor]: Taking taylor expansion of (sin (* 1/2 phi2)) in phi2 91.549 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 91.549 * [taylor]: Taking taylor expansion of 1/2 in phi2 91.549 * [backup-simplify]: Simplify 1/2 into 1/2 91.549 * [taylor]: Taking taylor expansion of phi2 in phi2 91.549 * [backup-simplify]: Simplify 0 into 0 91.549 * [backup-simplify]: Simplify 1 into 1 91.549 * [backup-simplify]: Simplify (* 1/2 0) into 0 91.550 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 91.550 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) in phi2 91.550 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))) in phi2 91.550 * [taylor]: Taking taylor expansion of 1/3 in phi2 91.550 * [backup-simplify]: Simplify 1/3 into 1/3 91.550 * [taylor]: Taking taylor expansion of (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) in phi2 91.550 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2 91.550 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 91.550 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 91.550 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 91.550 * [taylor]: Taking taylor expansion of 1/2 in phi2 91.550 * [backup-simplify]: Simplify 1/2 into 1/2 91.550 * [taylor]: Taking taylor expansion of phi2 in phi2 91.550 * [backup-simplify]: Simplify 0 into 0 91.551 * [backup-simplify]: Simplify 1 into 1 91.551 * [backup-simplify]: Simplify (* 1/2 0) into 0 91.552 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 91.554 * [backup-simplify]: Simplify (* 1 1) into 1 91.555 * [backup-simplify]: Simplify (log 1) into 0 91.555 * [taylor]: Taking taylor expansion of (* 2 (log lambda2)) in phi2 91.555 * [taylor]: Taking taylor expansion of 2 in phi2 91.555 * [backup-simplify]: Simplify 2 into 2 91.555 * [taylor]: Taking taylor expansion of (log lambda2) in phi2 91.555 * [taylor]: Taking taylor expansion of lambda2 in phi2 91.556 * [backup-simplify]: Simplify lambda2 into lambda2 91.556 * [backup-simplify]: Simplify (log lambda2) into (log lambda2) 91.556 * [backup-simplify]: Simplify (* 2 (log lambda2)) into (* 2 (log lambda2)) 91.556 * [backup-simplify]: Simplify (+ 0 (* 2 (log lambda2))) into (* 2 (log lambda2)) 91.556 * [backup-simplify]: Simplify (* 1/3 (* 2 (log lambda2))) into (* 2/3 (log lambda2)) 91.556 * [backup-simplify]: Simplify (exp (* 2/3 (log lambda2))) into (pow lambda2 2/3) 91.556 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 91.556 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 91.556 * [taylor]: Taking taylor expansion of 1/2 in phi2 91.556 * [backup-simplify]: Simplify 1/2 into 1/2 91.556 * [taylor]: Taking taylor expansion of phi2 in phi2 91.556 * [backup-simplify]: Simplify 0 into 0 91.556 * [backup-simplify]: Simplify 1 into 1 91.557 * [backup-simplify]: Simplify (* 1/2 0) into 0 91.558 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 91.558 * [backup-simplify]: Simplify (* 0 (pow lambda2 2/3)) into 0 91.558 * [backup-simplify]: Simplify (+ 0) into 0 91.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 91.560 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 91.561 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0 91.561 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0 91.562 * [backup-simplify]: Simplify (+ 0 0) into 0 91.562 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log lambda2)))) into 0 91.563 * [backup-simplify]: Simplify (* (exp (* 2/3 (log lambda2))) (+ (* (/ (pow 0 1) 1)))) into 0 91.564 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 91.564 * [backup-simplify]: Simplify (+ (* 0 0) (* 1/2 (pow lambda2 2/3))) into (* 1/2 (pow (pow lambda2 2) 1/3)) 91.564 * [backup-simplify]: Simplify (/ (* 1/2 (pow (pow lambda2 2) 1/3)) 1) into (* 1/2 (pow (pow lambda2 2) 1/3)) 91.565 * [backup-simplify]: Simplify (+ 0) into 0 91.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 91.567 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 91.567 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0 91.568 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0 91.568 * [backup-simplify]: Simplify (+ 0 0) into 0 91.569 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log lambda2)))) into 0 91.569 * [backup-simplify]: Simplify (* (exp (* 2/3 (log lambda2))) (+ (* (/ (pow 0 1) 1)))) into 0 91.569 * [backup-simplify]: Simplify 0 into 0 91.570 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 91.571 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 91.572 * [backup-simplify]: Simplify (+ 0 0) into 0 91.572 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ phi1 phi2)))) into 0 91.573 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 91.574 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 91.574 * [backup-simplify]: Simplify (- 0) into 0 91.574 * [backup-simplify]: Simplify (+ 0 0) into 0 91.575 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 91.575 * [backup-simplify]: Simplify (- 0) into 0 91.576 * [backup-simplify]: Simplify (+ 0 0) into 0 91.576 * [backup-simplify]: Simplify (+ (* (- lambda2) 0) (+ (* 1 1) (* 0 (- lambda2)))) into 1 91.576 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (+ (* (- (* 2 lambda2)) 0) (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 91.577 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 2)) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)))) 2) into (/ -1 (pow lambda2 2)) 91.578 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))))) into (- (* 1/3 (/ 1 (pow lambda2 2)))) 91.579 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow lambda2 2)))) 1) 1)))) into (* -1/9 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3)) 91.579 * [taylor]: Taking taylor expansion of (* -1/9 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3)) in lambda2 91.579 * [taylor]: Taking taylor expansion of -1/9 in lambda2 91.579 * [backup-simplify]: Simplify -1/9 into -1/9 91.579 * [taylor]: Taking taylor expansion of (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3) in lambda2 91.579 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4))))) in lambda2 91.579 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)))) in lambda2 91.579 * [taylor]: Taking taylor expansion of 1/3 in lambda2 91.579 * [backup-simplify]: Simplify 1/3 into 1/3 91.579 * [taylor]: Taking taylor expansion of (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4))) in lambda2 91.579 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) in lambda2 91.579 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 91.579 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 91.579 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 91.579 * [taylor]: Taking taylor expansion of 1/2 in lambda2 91.579 * [backup-simplify]: Simplify 1/2 into 1/2 91.579 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 91.579 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.579 * [backup-simplify]: Simplify phi1 into phi1 91.579 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.579 * [backup-simplify]: Simplify phi2 into phi2 91.579 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 91.579 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 91.579 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 91.580 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 91.580 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 91.580 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 91.580 * [backup-simplify]: Simplify (- 0) into 0 91.581 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 91.581 * [taylor]: Taking taylor expansion of (pow lambda2 4) in lambda2 91.581 * [taylor]: Taking taylor expansion of lambda2 in lambda2 91.581 * [backup-simplify]: Simplify 0 into 0 91.581 * [backup-simplify]: Simplify 1 into 1 91.581 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 91.581 * [backup-simplify]: Simplify (* 1 1) into 1 91.582 * [backup-simplify]: Simplify (* 1 1) into 1 91.582 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 91.582 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 91.583 * [backup-simplify]: Simplify (+ (* (- 4) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))) 91.583 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))) 91.583 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))) 91.583 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))))) into (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))))) 91.583 * [taylor]: Taking taylor expansion of (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))))) in phi1 91.583 * [taylor]: Taking taylor expansion of -1/9 in phi1 91.584 * [backup-simplify]: Simplify -1/9 into -1/9 91.584 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))) in phi1 91.584 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))) in phi1 91.584 * [taylor]: Taking taylor expansion of 1/3 in phi1 91.584 * [backup-simplify]: Simplify 1/3 into 1/3 91.584 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))) in phi1 91.584 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 91.584 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 91.584 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 91.584 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 91.584 * [taylor]: Taking taylor expansion of 1/2 in phi1 91.584 * [backup-simplify]: Simplify 1/2 into 1/2 91.584 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 91.584 * [taylor]: Taking taylor expansion of phi1 in phi1 91.584 * [backup-simplify]: Simplify 0 into 0 91.584 * [backup-simplify]: Simplify 1 into 1 91.584 * [taylor]: Taking taylor expansion of phi2 in phi1 91.584 * [backup-simplify]: Simplify phi2 into phi2 91.584 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 91.584 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 91.584 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 91.584 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 91.584 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 91.584 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 91.585 * [backup-simplify]: Simplify (- 0) into 0 91.585 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 91.585 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 91.585 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 phi2)) 2)) into (log (pow (cos (* 1/2 phi2)) 2)) 91.585 * [taylor]: Taking taylor expansion of (* 4 (log lambda2)) in phi1 91.585 * [taylor]: Taking taylor expansion of 4 in phi1 91.585 * [backup-simplify]: Simplify 4 into 4 91.585 * [taylor]: Taking taylor expansion of (log lambda2) in phi1 91.585 * [taylor]: Taking taylor expansion of lambda2 in phi1 91.585 * [backup-simplify]: Simplify lambda2 into lambda2 91.585 * [backup-simplify]: Simplify (log lambda2) into (log lambda2) 91.585 * [backup-simplify]: Simplify (* 4 (log lambda2)) into (* 4 (log lambda2)) 91.586 * [backup-simplify]: Simplify (- (* 4 (log lambda2))) into (- (* 4 (log lambda2))) 91.586 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 phi2)) 2)) (- (* 4 (log lambda2)))) into (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))) 91.586 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))) 91.586 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))))) 91.586 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))))) into (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))))) 91.586 * [taylor]: Taking taylor expansion of (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))))) in phi2 91.586 * [taylor]: Taking taylor expansion of -1/9 in phi2 91.586 * [backup-simplify]: Simplify -1/9 into -1/9 91.587 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))))) in phi2 91.587 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))) in phi2 91.587 * [taylor]: Taking taylor expansion of 1/3 in phi2 91.587 * [backup-simplify]: Simplify 1/3 into 1/3 91.587 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))) in phi2 91.587 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2 91.587 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 91.587 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 91.587 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 91.587 * [taylor]: Taking taylor expansion of 1/2 in phi2 91.587 * [backup-simplify]: Simplify 1/2 into 1/2 91.587 * [taylor]: Taking taylor expansion of phi2 in phi2 91.587 * [backup-simplify]: Simplify 0 into 0 91.587 * [backup-simplify]: Simplify 1 into 1 91.587 * [backup-simplify]: Simplify (* 1/2 0) into 0 91.588 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 91.588 * [backup-simplify]: Simplify (* 1 1) into 1 91.589 * [backup-simplify]: Simplify (log 1) into 0 91.589 * [taylor]: Taking taylor expansion of (* 4 (log lambda2)) in phi2 91.589 * [taylor]: Taking taylor expansion of 4 in phi2 91.589 * [backup-simplify]: Simplify 4 into 4 91.589 * [taylor]: Taking taylor expansion of (log lambda2) in phi2 91.589 * [taylor]: Taking taylor expansion of lambda2 in phi2 91.589 * [backup-simplify]: Simplify lambda2 into lambda2 91.589 * [backup-simplify]: Simplify (log lambda2) into (log lambda2) 91.589 * [backup-simplify]: Simplify (* 4 (log lambda2)) into (* 4 (log lambda2)) 91.589 * [backup-simplify]: Simplify (- (* 4 (log lambda2))) into (- (* 4 (log lambda2))) 91.589 * [backup-simplify]: Simplify (+ 0 (- (* 4 (log lambda2)))) into (- (* 4 (log lambda2))) 91.589 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log lambda2)))) into (* -4/3 (log lambda2)) 91.589 * [backup-simplify]: Simplify (exp (* -4/3 (log lambda2))) into (pow lambda2 -4/3) 91.590 * [backup-simplify]: Simplify (* -1/9 (pow lambda2 -4/3)) into (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) 91.590 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) into (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) 91.590 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) (pow (* 1 (* 1 (* 1 lambda1))) 2)) (+ (* (* -2/3 (pow (/ 1 lambda2) 1/3)) (* 1 (* 1 (* 1 lambda1)))) (pow lambda2 2/3))) into (- (pow lambda2 2/3) (+ (* 2/3 (* (pow (/ 1 lambda2) 1/3) lambda1)) (* 1/9 (* (pow (/ 1 (pow lambda2 4)) 1/3) (pow lambda1 2))))) 91.591 * [backup-simplify]: Simplify (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) 91.591 * [approximate]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in (lambda1 lambda2 phi1 phi2) around 0 91.591 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in phi2 91.591 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in phi2 91.591 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in phi2 91.591 * [taylor]: Taking taylor expansion of 1/3 in phi2 91.591 * [backup-simplify]: Simplify 1/3 into 1/3 91.591 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in phi2 91.591 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in phi2 91.591 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 91.591 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 91.591 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 91.592 * [taylor]: Taking taylor expansion of 1/2 in phi2 91.592 * [backup-simplify]: Simplify 1/2 into 1/2 91.592 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 91.592 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 91.592 * [taylor]: Taking taylor expansion of phi1 in phi2 91.592 * [backup-simplify]: Simplify phi1 into phi1 91.592 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.592 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 91.592 * [taylor]: Taking taylor expansion of phi2 in phi2 91.592 * [backup-simplify]: Simplify 0 into 0 91.592 * [backup-simplify]: Simplify 1 into 1 91.592 * [backup-simplify]: Simplify (/ 1 1) into 1 91.593 * [backup-simplify]: Simplify (+ 0 1) into 1 91.593 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 91.593 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.593 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in phi2 91.593 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 91.593 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 91.593 * [taylor]: Taking taylor expansion of lambda1 in phi2 91.593 * [backup-simplify]: Simplify lambda1 into lambda1 91.593 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 91.594 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 91.594 * [taylor]: Taking taylor expansion of lambda2 in phi2 91.594 * [backup-simplify]: Simplify lambda2 into lambda2 91.594 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 91.594 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 91.594 * [backup-simplify]: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) 91.594 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.594 * [backup-simplify]: Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (- (/ 1 lambda1) (/ 1 lambda2))) into (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) 91.595 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 91.595 * [backup-simplify]: Simplify (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) into (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) 91.595 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) 91.596 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) 91.596 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in phi1 91.596 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in phi1 91.596 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in phi1 91.596 * [taylor]: Taking taylor expansion of 1/3 in phi1 91.596 * [backup-simplify]: Simplify 1/3 into 1/3 91.596 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in phi1 91.596 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in phi1 91.596 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 91.596 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 91.596 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 91.596 * [taylor]: Taking taylor expansion of 1/2 in phi1 91.596 * [backup-simplify]: Simplify 1/2 into 1/2 91.596 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 91.596 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 91.596 * [taylor]: Taking taylor expansion of phi1 in phi1 91.596 * [backup-simplify]: Simplify 0 into 0 91.596 * [backup-simplify]: Simplify 1 into 1 91.597 * [backup-simplify]: Simplify (/ 1 1) into 1 91.597 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 91.597 * [taylor]: Taking taylor expansion of phi2 in phi1 91.597 * [backup-simplify]: Simplify phi2 into phi2 91.597 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.598 * [backup-simplify]: Simplify (+ 1 0) into 1 91.598 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 91.598 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.598 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in phi1 91.598 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 91.599 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 91.599 * [taylor]: Taking taylor expansion of lambda1 in phi1 91.599 * [backup-simplify]: Simplify lambda1 into lambda1 91.599 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 91.599 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 91.599 * [taylor]: Taking taylor expansion of lambda2 in phi1 91.599 * [backup-simplify]: Simplify lambda2 into lambda2 91.599 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 91.599 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 91.599 * [backup-simplify]: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) 91.599 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.600 * [backup-simplify]: Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (- (/ 1 lambda1) (/ 1 lambda2))) into (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) 91.600 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 91.600 * [backup-simplify]: Simplify (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) into (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) 91.601 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) 91.601 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) 91.601 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in lambda2 91.602 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in lambda2 91.602 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in lambda2 91.602 * [taylor]: Taking taylor expansion of 1/3 in lambda2 91.602 * [backup-simplify]: Simplify 1/3 into 1/3 91.602 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in lambda2 91.602 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda2 91.602 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 91.602 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 91.602 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 91.602 * [taylor]: Taking taylor expansion of 1/2 in lambda2 91.602 * [backup-simplify]: Simplify 1/2 into 1/2 91.602 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 91.602 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 91.602 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.602 * [backup-simplify]: Simplify phi1 into phi1 91.602 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.602 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 91.602 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.602 * [backup-simplify]: Simplify phi2 into phi2 91.602 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.602 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 91.602 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 91.603 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.603 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.603 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.603 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 91.604 * [backup-simplify]: Simplify (- 0) into 0 91.604 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.604 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in lambda2 91.604 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 91.604 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 91.604 * [taylor]: Taking taylor expansion of lambda1 in lambda2 91.604 * [backup-simplify]: Simplify lambda1 into lambda1 91.604 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 91.604 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 91.604 * [taylor]: Taking taylor expansion of lambda2 in lambda2 91.604 * [backup-simplify]: Simplify 0 into 0 91.604 * [backup-simplify]: Simplify 1 into 1 91.604 * [backup-simplify]: Simplify (/ 1 1) into 1 91.605 * [backup-simplify]: Simplify (- 1) into -1 91.605 * [backup-simplify]: Simplify (+ 0 -1) into -1 91.606 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.606 * [backup-simplify]: Simplify (* -1 -1) into 1 91.606 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.606 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 91.607 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))) 91.607 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) 91.608 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 91.608 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in lambda1 91.608 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in lambda1 91.608 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in lambda1 91.608 * [taylor]: Taking taylor expansion of 1/3 in lambda1 91.608 * [backup-simplify]: Simplify 1/3 into 1/3 91.608 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in lambda1 91.608 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1 91.608 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 91.608 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 91.608 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 91.608 * [taylor]: Taking taylor expansion of 1/2 in lambda1 91.608 * [backup-simplify]: Simplify 1/2 into 1/2 91.608 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 91.608 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 91.608 * [taylor]: Taking taylor expansion of phi1 in lambda1 91.608 * [backup-simplify]: Simplify phi1 into phi1 91.608 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.608 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 91.608 * [taylor]: Taking taylor expansion of phi2 in lambda1 91.608 * [backup-simplify]: Simplify phi2 into phi2 91.608 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.608 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 91.608 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 91.609 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.609 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.609 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.609 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 91.609 * [backup-simplify]: Simplify (- 0) into 0 91.610 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.610 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in lambda1 91.610 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 91.610 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 91.610 * [taylor]: Taking taylor expansion of lambda1 in lambda1 91.610 * [backup-simplify]: Simplify 0 into 0 91.610 * [backup-simplify]: Simplify 1 into 1 91.610 * [backup-simplify]: Simplify (/ 1 1) into 1 91.610 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 91.610 * [taylor]: Taking taylor expansion of lambda2 in lambda1 91.610 * [backup-simplify]: Simplify lambda2 into lambda2 91.610 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 91.611 * [backup-simplify]: Simplify (+ 1 0) into 1 91.611 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.611 * [backup-simplify]: Simplify (* 1 1) into 1 91.612 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.612 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 91.612 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 91.613 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 91.613 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 91.613 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in lambda1 91.613 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in lambda1 91.613 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in lambda1 91.613 * [taylor]: Taking taylor expansion of 1/3 in lambda1 91.613 * [backup-simplify]: Simplify 1/3 into 1/3 91.613 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in lambda1 91.613 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1 91.613 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 91.613 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 91.613 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 91.613 * [taylor]: Taking taylor expansion of 1/2 in lambda1 91.613 * [backup-simplify]: Simplify 1/2 into 1/2 91.613 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 91.613 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 91.613 * [taylor]: Taking taylor expansion of phi1 in lambda1 91.613 * [backup-simplify]: Simplify phi1 into phi1 91.613 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.613 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 91.614 * [taylor]: Taking taylor expansion of phi2 in lambda1 91.614 * [backup-simplify]: Simplify phi2 into phi2 91.614 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.614 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 91.614 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 91.614 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.614 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.614 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.614 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 91.615 * [backup-simplify]: Simplify (- 0) into 0 91.615 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.615 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in lambda1 91.615 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 91.615 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 91.615 * [taylor]: Taking taylor expansion of lambda1 in lambda1 91.615 * [backup-simplify]: Simplify 0 into 0 91.615 * [backup-simplify]: Simplify 1 into 1 91.616 * [backup-simplify]: Simplify (/ 1 1) into 1 91.616 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 91.616 * [taylor]: Taking taylor expansion of lambda2 in lambda1 91.616 * [backup-simplify]: Simplify lambda2 into lambda2 91.616 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 91.616 * [backup-simplify]: Simplify (+ 1 0) into 1 91.616 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.617 * [backup-simplify]: Simplify (* 1 1) into 1 91.617 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.617 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 91.618 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 91.618 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 91.618 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 91.619 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 91.619 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 91.619 * [taylor]: Taking taylor expansion of 1/3 in lambda2 91.619 * [backup-simplify]: Simplify 1/3 into 1/3 91.619 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 91.619 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 91.619 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 91.619 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 91.619 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 91.619 * [taylor]: Taking taylor expansion of 1/2 in lambda2 91.619 * [backup-simplify]: Simplify 1/2 into 1/2 91.619 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 91.619 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 91.619 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.619 * [backup-simplify]: Simplify phi1 into phi1 91.619 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.619 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 91.619 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.619 * [backup-simplify]: Simplify phi2 into phi2 91.619 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.619 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 91.619 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 91.619 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.620 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.620 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.620 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 91.620 * [backup-simplify]: Simplify (- 0) into 0 91.620 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.621 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.621 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 91.621 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 91.621 * [taylor]: Taking taylor expansion of 2 in lambda2 91.621 * [backup-simplify]: Simplify 2 into 2 91.621 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 91.621 * [taylor]: Taking taylor expansion of lambda1 in lambda2 91.621 * [backup-simplify]: Simplify lambda1 into lambda1 91.621 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 91.621 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 91.621 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 91.622 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 91.622 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 91.622 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 91.622 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1 91.622 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1 91.622 * [taylor]: Taking taylor expansion of 1/3 in phi1 91.622 * [backup-simplify]: Simplify 1/3 into 1/3 91.622 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1 91.622 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 91.622 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 91.622 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 91.622 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 91.622 * [taylor]: Taking taylor expansion of 1/2 in phi1 91.622 * [backup-simplify]: Simplify 1/2 into 1/2 91.622 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 91.622 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 91.622 * [taylor]: Taking taylor expansion of phi1 in phi1 91.623 * [backup-simplify]: Simplify 0 into 0 91.623 * [backup-simplify]: Simplify 1 into 1 91.623 * [backup-simplify]: Simplify (/ 1 1) into 1 91.623 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 91.623 * [taylor]: Taking taylor expansion of phi2 in phi1 91.623 * [backup-simplify]: Simplify phi2 into phi2 91.623 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.624 * [backup-simplify]: Simplify (+ 1 0) into 1 91.624 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 91.624 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.624 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.625 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 91.625 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi1 91.625 * [taylor]: Taking taylor expansion of 2 in phi1 91.625 * [backup-simplify]: Simplify 2 into 2 91.625 * [taylor]: Taking taylor expansion of (log lambda1) in phi1 91.625 * [taylor]: Taking taylor expansion of lambda1 in phi1 91.625 * [backup-simplify]: Simplify lambda1 into lambda1 91.625 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 91.625 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 91.625 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 91.625 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 91.625 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 91.626 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 91.626 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi2 91.626 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi2 91.626 * [taylor]: Taking taylor expansion of 1/3 in phi2 91.626 * [backup-simplify]: Simplify 1/3 into 1/3 91.626 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi2 91.626 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2 91.626 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 91.626 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 91.626 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 91.626 * [taylor]: Taking taylor expansion of 1/2 in phi2 91.626 * [backup-simplify]: Simplify 1/2 into 1/2 91.626 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 91.626 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 91.626 * [taylor]: Taking taylor expansion of phi1 in phi2 91.626 * [backup-simplify]: Simplify phi1 into phi1 91.626 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.626 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 91.626 * [taylor]: Taking taylor expansion of phi2 in phi2 91.626 * [backup-simplify]: Simplify 0 into 0 91.626 * [backup-simplify]: Simplify 1 into 1 91.627 * [backup-simplify]: Simplify (/ 1 1) into 1 91.627 * [backup-simplify]: Simplify (+ 0 1) into 1 91.628 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 91.628 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.628 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.628 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 91.628 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi2 91.628 * [taylor]: Taking taylor expansion of 2 in phi2 91.628 * [backup-simplify]: Simplify 2 into 2 91.628 * [taylor]: Taking taylor expansion of (log lambda1) in phi2 91.628 * [taylor]: Taking taylor expansion of lambda1 in phi2 91.628 * [backup-simplify]: Simplify lambda1 into lambda1 91.629 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 91.629 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 91.629 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 91.629 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 91.629 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 91.630 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 91.630 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 91.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 91.631 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 91.631 * [backup-simplify]: Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2)) 91.631 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 lambda2))) (* (- (/ 1 lambda2)) 1)) into (- (* 2 (/ 1 lambda2))) 91.632 * [backup-simplify]: Simplify (+ 0) into 0 91.632 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 91.632 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 91.632 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 91.633 * [backup-simplify]: Simplify (+ 0 0) into 0 91.633 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 91.634 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 91.635 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 91.635 * [backup-simplify]: Simplify (- 0) into 0 91.635 * [backup-simplify]: Simplify (+ 0 0) into 0 91.636 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 91.636 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (- (* 2 (/ 1 lambda2)))) (* 0 1)) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 91.637 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into (/ -2 lambda2) 91.638 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 91.638 * [backup-simplify]: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2))) 91.639 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) 91.639 * [taylor]: Taking taylor expansion of (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) in lambda2 91.639 * [taylor]: Taking taylor expansion of -2/3 in lambda2 91.639 * [backup-simplify]: Simplify -2/3 into -2/3 91.639 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2) in lambda2 91.639 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 91.639 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 91.639 * [taylor]: Taking taylor expansion of 1/3 in lambda2 91.639 * [backup-simplify]: Simplify 1/3 into 1/3 91.639 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 91.639 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 91.639 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 91.639 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 91.639 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 91.639 * [taylor]: Taking taylor expansion of 1/2 in lambda2 91.639 * [backup-simplify]: Simplify 1/2 into 1/2 91.639 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 91.639 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 91.639 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.639 * [backup-simplify]: Simplify phi1 into phi1 91.639 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.639 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 91.639 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.639 * [backup-simplify]: Simplify phi2 into phi2 91.639 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.639 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 91.640 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 91.640 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.640 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.640 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.640 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 91.641 * [backup-simplify]: Simplify (- 0) into 0 91.641 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.641 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.641 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 91.641 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 91.641 * [taylor]: Taking taylor expansion of 2 in lambda2 91.641 * [backup-simplify]: Simplify 2 into 2 91.641 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 91.641 * [taylor]: Taking taylor expansion of lambda1 in lambda2 91.641 * [backup-simplify]: Simplify lambda1 into lambda1 91.641 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 91.641 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 91.642 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 91.642 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 91.642 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 91.642 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 91.642 * [taylor]: Taking taylor expansion of lambda2 in lambda2 91.642 * [backup-simplify]: Simplify 0 into 0 91.642 * [backup-simplify]: Simplify 1 into 1 91.643 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 91.643 * [backup-simplify]: Simplify (+ 0) into 0 91.644 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 91.644 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 91.644 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 91.645 * [backup-simplify]: Simplify (+ 0 0) into 0 91.645 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 91.646 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 91.646 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 91.647 * [backup-simplify]: Simplify (- 0) into 0 91.647 * [backup-simplify]: Simplify (+ 0 0) into 0 91.647 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 91.648 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 91.649 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 91.650 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 91.650 * [backup-simplify]: Simplify (- 0) into 0 91.650 * [backup-simplify]: Simplify (+ 0 0) into 0 91.651 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 91.652 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 91.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 91.654 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))))) into 0 91.654 * [taylor]: Taking taylor expansion of 0 in phi1 91.654 * [backup-simplify]: Simplify 0 into 0 91.654 * [taylor]: Taking taylor expansion of 0 in phi2 91.654 * [backup-simplify]: Simplify 0 into 0 91.654 * [backup-simplify]: Simplify 0 into 0 91.655 * [backup-simplify]: Simplify (+ 0) into 0 91.655 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 91.656 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 91.656 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 91.656 * [backup-simplify]: Simplify (+ 0 0) into 0 91.657 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 91.657 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 91.658 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 91.658 * [backup-simplify]: Simplify (- 0) into 0 91.659 * [backup-simplify]: Simplify (+ 0 0) into 0 91.659 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 91.660 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 91.661 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 91.661 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 91.662 * [backup-simplify]: Simplify (- 0) into 0 91.662 * [backup-simplify]: Simplify (+ 0 0) into 0 91.663 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 91.664 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 91.664 * [taylor]: Taking taylor expansion of 0 in phi1 91.664 * [backup-simplify]: Simplify 0 into 0 91.664 * [taylor]: Taking taylor expansion of 0 in phi2 91.664 * [backup-simplify]: Simplify 0 into 0 91.664 * [backup-simplify]: Simplify 0 into 0 91.665 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 91.665 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 91.666 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 91.667 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 91.667 * [backup-simplify]: Simplify (- 0) into 0 91.667 * [backup-simplify]: Simplify (+ 0 0) into 0 91.668 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 91.669 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 91.669 * [taylor]: Taking taylor expansion of 0 in phi2 91.669 * [backup-simplify]: Simplify 0 into 0 91.669 * [backup-simplify]: Simplify 0 into 0 91.670 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 91.671 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 91.671 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 91.672 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 91.672 * [backup-simplify]: Simplify (- 0) into 0 91.673 * [backup-simplify]: Simplify (+ 0 0) into 0 91.673 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 91.674 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 91.674 * [backup-simplify]: Simplify 0 into 0 91.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 91.676 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 91.676 * [backup-simplify]: Simplify (- 0) into 0 91.676 * [backup-simplify]: Simplify (+ 0 0) into 0 91.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 lambda2)) (- (/ 1 lambda2))) (* 0 1))) into (/ 1 (pow lambda2 2)) 91.678 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 91.679 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 91.679 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 91.679 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 91.680 * [backup-simplify]: Simplify (+ 0 0) into 0 91.681 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 91.681 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 91.682 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 91.682 * [backup-simplify]: Simplify (- 0) into 0 91.683 * [backup-simplify]: Simplify (+ 0 0) into 0 91.683 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 91.684 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 1 (pow lambda2 2))) (+ (* 0 (- (* 2 (/ 1 lambda2)))) (* 0 1))) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 91.686 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into (/ -1 (pow lambda2 2)) 91.686 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 91.687 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into (- (* 1/3 (/ 1 (pow lambda2 2)))) 91.687 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow lambda2 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) 91.687 * [taylor]: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) in lambda2 91.687 * [taylor]: Taking taylor expansion of -1/9 in lambda2 91.687 * [backup-simplify]: Simplify -1/9 into -1/9 91.687 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)) in lambda2 91.687 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 91.687 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 91.688 * [taylor]: Taking taylor expansion of 1/3 in lambda2 91.688 * [backup-simplify]: Simplify 1/3 into 1/3 91.688 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 91.688 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 91.688 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 91.688 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 91.688 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 91.688 * [taylor]: Taking taylor expansion of 1/2 in lambda2 91.688 * [backup-simplify]: Simplify 1/2 into 1/2 91.688 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 91.688 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 91.688 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.688 * [backup-simplify]: Simplify phi1 into phi1 91.688 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.688 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 91.688 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.688 * [backup-simplify]: Simplify phi2 into phi2 91.688 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.688 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 91.688 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 91.688 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.689 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.689 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.689 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 91.689 * [backup-simplify]: Simplify (- 0) into 0 91.689 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.690 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.690 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 91.690 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 91.690 * [taylor]: Taking taylor expansion of 2 in lambda2 91.690 * [backup-simplify]: Simplify 2 into 2 91.690 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 91.690 * [taylor]: Taking taylor expansion of lambda1 in lambda2 91.690 * [backup-simplify]: Simplify lambda1 into lambda1 91.690 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 91.690 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 91.690 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 91.691 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 91.691 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 91.691 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 91.691 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 91.691 * [taylor]: Taking taylor expansion of lambda2 in lambda2 91.691 * [backup-simplify]: Simplify 0 into 0 91.691 * [backup-simplify]: Simplify 1 into 1 91.692 * [backup-simplify]: Simplify (* 1 1) into 1 91.692 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 91.693 * [backup-simplify]: Simplify (+ 0) into 0 91.693 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 91.693 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 91.694 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 91.694 * [backup-simplify]: Simplify (+ 0 0) into 0 91.695 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 91.695 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 91.696 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 91.696 * [backup-simplify]: Simplify (- 0) into 0 91.697 * [backup-simplify]: Simplify (+ 0 0) into 0 91.697 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 91.698 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 91.699 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 91.699 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 91.699 * [backup-simplify]: Simplify (- 0) into 0 91.700 * [backup-simplify]: Simplify (+ 0 0) into 0 91.701 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 91.701 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 91.705 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 91.705 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 91.705 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 91.706 * [backup-simplify]: Simplify (+ 0 0) into 0 91.707 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 91.708 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 91.709 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 91.709 * [backup-simplify]: Simplify (- 0) into 0 91.710 * [backup-simplify]: Simplify (+ 0 0) into 0 91.710 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 91.713 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 91.715 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 91.715 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 91.716 * [backup-simplify]: Simplify (- 0) into 0 91.716 * [backup-simplify]: Simplify (+ 0 0) into 0 91.717 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 91.719 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 91.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 91.721 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 91.722 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 91.723 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 91.725 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 91.727 * [backup-simplify]: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0 91.727 * [taylor]: Taking taylor expansion of 0 in phi1 91.727 * [backup-simplify]: Simplify 0 into 0 91.727 * [taylor]: Taking taylor expansion of 0 in phi2 91.727 * [backup-simplify]: Simplify 0 into 0 91.727 * [backup-simplify]: Simplify 0 into 0 91.728 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 91.729 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 91.729 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 91.729 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 91.729 * [backup-simplify]: Simplify (+ 0 0) into 0 91.730 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 91.731 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 91.732 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 91.732 * [backup-simplify]: Simplify (- 0) into 0 91.732 * [backup-simplify]: Simplify (+ 0 0) into 0 91.733 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 91.735 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 91.737 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 91.737 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 91.738 * [backup-simplify]: Simplify (- 0) into 0 91.738 * [backup-simplify]: Simplify (+ 0 0) into 0 91.739 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 91.741 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 91.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 91.743 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0 91.743 * [taylor]: Taking taylor expansion of 0 in phi1 91.743 * [backup-simplify]: Simplify 0 into 0 91.743 * [taylor]: Taking taylor expansion of 0 in phi2 91.744 * [backup-simplify]: Simplify 0 into 0 91.744 * [backup-simplify]: Simplify 0 into 0 91.744 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) 2)) (* 2 (log (/ 1 lambda1)))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log (/ 1 lambda1)))))) 91.745 * [backup-simplify]: Simplify (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) 91.745 * [approximate]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in (lambda1 lambda2 phi1 phi2) around 0 91.745 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in phi2 91.745 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in phi2 91.745 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in phi2 91.745 * [taylor]: Taking taylor expansion of 1/3 in phi2 91.745 * [backup-simplify]: Simplify 1/3 into 1/3 91.745 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in phi2 91.745 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in phi2 91.745 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 91.745 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 91.745 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 91.745 * [taylor]: Taking taylor expansion of -1/2 in phi2 91.745 * [backup-simplify]: Simplify -1/2 into -1/2 91.745 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 91.745 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 91.745 * [taylor]: Taking taylor expansion of phi1 in phi2 91.745 * [backup-simplify]: Simplify phi1 into phi1 91.745 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.745 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 91.745 * [taylor]: Taking taylor expansion of phi2 in phi2 91.745 * [backup-simplify]: Simplify 0 into 0 91.745 * [backup-simplify]: Simplify 1 into 1 91.746 * [backup-simplify]: Simplify (/ 1 1) into 1 91.746 * [backup-simplify]: Simplify (+ 0 1) into 1 91.747 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 91.747 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.747 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in phi2 91.747 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi2 91.747 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 91.747 * [taylor]: Taking taylor expansion of lambda2 in phi2 91.747 * [backup-simplify]: Simplify lambda2 into lambda2 91.747 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 91.747 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 91.747 * [taylor]: Taking taylor expansion of lambda1 in phi2 91.747 * [backup-simplify]: Simplify lambda1 into lambda1 91.747 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 91.747 * [backup-simplify]: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1)) 91.747 * [backup-simplify]: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1)) 91.748 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.748 * [backup-simplify]: Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (- (/ 1 lambda2) (/ 1 lambda1))) into (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) 91.748 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 91.748 * [backup-simplify]: Simplify (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) 91.749 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) into (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) 91.749 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) 91.749 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in phi1 91.749 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in phi1 91.749 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in phi1 91.749 * [taylor]: Taking taylor expansion of 1/3 in phi1 91.749 * [backup-simplify]: Simplify 1/3 into 1/3 91.749 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in phi1 91.749 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in phi1 91.749 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 91.749 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 91.749 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 91.749 * [taylor]: Taking taylor expansion of -1/2 in phi1 91.749 * [backup-simplify]: Simplify -1/2 into -1/2 91.750 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 91.750 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 91.750 * [taylor]: Taking taylor expansion of phi1 in phi1 91.750 * [backup-simplify]: Simplify 0 into 0 91.750 * [backup-simplify]: Simplify 1 into 1 91.750 * [backup-simplify]: Simplify (/ 1 1) into 1 91.750 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 91.750 * [taylor]: Taking taylor expansion of phi2 in phi1 91.750 * [backup-simplify]: Simplify phi2 into phi2 91.750 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.751 * [backup-simplify]: Simplify (+ 1 0) into 1 91.751 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 91.751 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.751 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in phi1 91.751 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi1 91.751 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 91.751 * [taylor]: Taking taylor expansion of lambda2 in phi1 91.751 * [backup-simplify]: Simplify lambda2 into lambda2 91.751 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 91.751 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 91.752 * [taylor]: Taking taylor expansion of lambda1 in phi1 91.752 * [backup-simplify]: Simplify lambda1 into lambda1 91.752 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 91.752 * [backup-simplify]: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1)) 91.752 * [backup-simplify]: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1)) 91.752 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.752 * [backup-simplify]: Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (- (/ 1 lambda2) (/ 1 lambda1))) into (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) 91.753 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 91.753 * [backup-simplify]: Simplify (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) 91.753 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) into (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) 91.754 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) 91.754 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in lambda2 91.754 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in lambda2 91.754 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in lambda2 91.754 * [taylor]: Taking taylor expansion of 1/3 in lambda2 91.754 * [backup-simplify]: Simplify 1/3 into 1/3 91.754 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in lambda2 91.754 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in lambda2 91.754 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 91.754 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 91.754 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 91.754 * [taylor]: Taking taylor expansion of -1/2 in lambda2 91.754 * [backup-simplify]: Simplify -1/2 into -1/2 91.754 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 91.754 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 91.754 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.754 * [backup-simplify]: Simplify phi1 into phi1 91.754 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.754 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 91.754 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.754 * [backup-simplify]: Simplify phi2 into phi2 91.754 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.754 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 91.755 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 91.755 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.755 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.755 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.755 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 91.756 * [backup-simplify]: Simplify (- 0) into 0 91.756 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.756 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in lambda2 91.756 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 91.756 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 91.756 * [taylor]: Taking taylor expansion of lambda2 in lambda2 91.756 * [backup-simplify]: Simplify 0 into 0 91.756 * [backup-simplify]: Simplify 1 into 1 91.757 * [backup-simplify]: Simplify (/ 1 1) into 1 91.757 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 91.757 * [taylor]: Taking taylor expansion of lambda1 in lambda2 91.757 * [backup-simplify]: Simplify lambda1 into lambda1 91.757 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 91.757 * [backup-simplify]: Simplify (+ 1 0) into 1 91.757 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.758 * [backup-simplify]: Simplify (* 1 1) into 1 91.758 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.758 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 91.759 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))) 91.759 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) 91.759 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 91.759 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in lambda1 91.759 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in lambda1 91.760 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in lambda1 91.760 * [taylor]: Taking taylor expansion of 1/3 in lambda1 91.760 * [backup-simplify]: Simplify 1/3 into 1/3 91.760 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in lambda1 91.760 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in lambda1 91.760 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 91.760 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 91.760 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 91.760 * [taylor]: Taking taylor expansion of -1/2 in lambda1 91.760 * [backup-simplify]: Simplify -1/2 into -1/2 91.760 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 91.760 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 91.760 * [taylor]: Taking taylor expansion of phi1 in lambda1 91.760 * [backup-simplify]: Simplify phi1 into phi1 91.760 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.760 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 91.760 * [taylor]: Taking taylor expansion of phi2 in lambda1 91.760 * [backup-simplify]: Simplify phi2 into phi2 91.760 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.760 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 91.760 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 91.760 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.761 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.761 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.761 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 91.761 * [backup-simplify]: Simplify (- 0) into 0 91.762 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.762 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in lambda1 91.762 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 91.762 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 91.762 * [taylor]: Taking taylor expansion of lambda2 in lambda1 91.762 * [backup-simplify]: Simplify lambda2 into lambda2 91.762 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 91.762 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 91.762 * [taylor]: Taking taylor expansion of lambda1 in lambda1 91.762 * [backup-simplify]: Simplify 0 into 0 91.762 * [backup-simplify]: Simplify 1 into 1 91.762 * [backup-simplify]: Simplify (/ 1 1) into 1 91.763 * [backup-simplify]: Simplify (- 1) into -1 91.763 * [backup-simplify]: Simplify (+ 0 -1) into -1 91.763 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.764 * [backup-simplify]: Simplify (* -1 -1) into 1 91.764 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.764 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 91.765 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 91.765 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 91.765 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 91.765 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in lambda1 91.765 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in lambda1 91.765 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in lambda1 91.765 * [taylor]: Taking taylor expansion of 1/3 in lambda1 91.765 * [backup-simplify]: Simplify 1/3 into 1/3 91.765 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in lambda1 91.765 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in lambda1 91.766 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 91.766 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 91.766 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 91.766 * [taylor]: Taking taylor expansion of -1/2 in lambda1 91.766 * [backup-simplify]: Simplify -1/2 into -1/2 91.766 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 91.766 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 91.766 * [taylor]: Taking taylor expansion of phi1 in lambda1 91.766 * [backup-simplify]: Simplify phi1 into phi1 91.766 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.766 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 91.766 * [taylor]: Taking taylor expansion of phi2 in lambda1 91.766 * [backup-simplify]: Simplify phi2 into phi2 91.766 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.766 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 91.766 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 91.766 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.766 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.767 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.767 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 91.767 * [backup-simplify]: Simplify (- 0) into 0 91.767 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.767 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in lambda1 91.767 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 91.767 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 91.767 * [taylor]: Taking taylor expansion of lambda2 in lambda1 91.767 * [backup-simplify]: Simplify lambda2 into lambda2 91.768 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 91.768 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 91.768 * [taylor]: Taking taylor expansion of lambda1 in lambda1 91.768 * [backup-simplify]: Simplify 0 into 0 91.768 * [backup-simplify]: Simplify 1 into 1 91.768 * [backup-simplify]: Simplify (/ 1 1) into 1 91.768 * [backup-simplify]: Simplify (- 1) into -1 91.769 * [backup-simplify]: Simplify (+ 0 -1) into -1 91.769 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.769 * [backup-simplify]: Simplify (* -1 -1) into 1 91.770 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.770 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 91.770 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 91.771 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 91.771 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 91.771 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 91.771 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 91.771 * [taylor]: Taking taylor expansion of 1/3 in lambda2 91.771 * [backup-simplify]: Simplify 1/3 into 1/3 91.771 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 91.771 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 91.771 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 91.771 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 91.771 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 91.771 * [taylor]: Taking taylor expansion of -1/2 in lambda2 91.771 * [backup-simplify]: Simplify -1/2 into -1/2 91.772 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 91.772 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 91.772 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.772 * [backup-simplify]: Simplify phi1 into phi1 91.772 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.772 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 91.772 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.772 * [backup-simplify]: Simplify phi2 into phi2 91.772 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.772 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 91.772 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 91.772 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.772 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.773 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.773 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 91.773 * [backup-simplify]: Simplify (- 0) into 0 91.773 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.774 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.774 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 91.774 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 91.774 * [taylor]: Taking taylor expansion of 2 in lambda2 91.774 * [backup-simplify]: Simplify 2 into 2 91.774 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 91.774 * [taylor]: Taking taylor expansion of lambda1 in lambda2 91.774 * [backup-simplify]: Simplify lambda1 into lambda1 91.774 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 91.774 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 91.774 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 91.775 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 91.775 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 91.775 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 91.775 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1 91.775 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1 91.775 * [taylor]: Taking taylor expansion of 1/3 in phi1 91.775 * [backup-simplify]: Simplify 1/3 into 1/3 91.775 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1 91.775 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 91.775 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 91.775 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 91.775 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 91.775 * [taylor]: Taking taylor expansion of -1/2 in phi1 91.775 * [backup-simplify]: Simplify -1/2 into -1/2 91.775 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 91.776 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 91.776 * [taylor]: Taking taylor expansion of phi1 in phi1 91.776 * [backup-simplify]: Simplify 0 into 0 91.776 * [backup-simplify]: Simplify 1 into 1 91.776 * [backup-simplify]: Simplify (/ 1 1) into 1 91.776 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 91.776 * [taylor]: Taking taylor expansion of phi2 in phi1 91.776 * [backup-simplify]: Simplify phi2 into phi2 91.776 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.777 * [backup-simplify]: Simplify (+ 1 0) into 1 91.777 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 91.777 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.777 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.778 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 91.778 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi1 91.778 * [taylor]: Taking taylor expansion of 2 in phi1 91.778 * [backup-simplify]: Simplify 2 into 2 91.778 * [taylor]: Taking taylor expansion of (log lambda1) in phi1 91.778 * [taylor]: Taking taylor expansion of lambda1 in phi1 91.778 * [backup-simplify]: Simplify lambda1 into lambda1 91.778 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 91.778 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 91.778 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 91.778 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 91.779 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 91.779 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 91.779 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi2 91.779 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi2 91.779 * [taylor]: Taking taylor expansion of 1/3 in phi2 91.779 * [backup-simplify]: Simplify 1/3 into 1/3 91.779 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi2 91.779 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2 91.779 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 91.779 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 91.779 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 91.779 * [taylor]: Taking taylor expansion of -1/2 in phi2 91.779 * [backup-simplify]: Simplify -1/2 into -1/2 91.779 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 91.779 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 91.779 * [taylor]: Taking taylor expansion of phi1 in phi2 91.779 * [backup-simplify]: Simplify phi1 into phi1 91.779 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.779 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 91.779 * [taylor]: Taking taylor expansion of phi2 in phi2 91.779 * [backup-simplify]: Simplify 0 into 0 91.779 * [backup-simplify]: Simplify 1 into 1 91.780 * [backup-simplify]: Simplify (/ 1 1) into 1 91.780 * [backup-simplify]: Simplify (+ 0 1) into 1 91.781 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 91.781 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.781 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.781 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 91.781 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi2 91.781 * [taylor]: Taking taylor expansion of 2 in phi2 91.781 * [backup-simplify]: Simplify 2 into 2 91.781 * [taylor]: Taking taylor expansion of (log lambda1) in phi2 91.781 * [taylor]: Taking taylor expansion of lambda1 in phi2 91.781 * [backup-simplify]: Simplify lambda1 into lambda1 91.782 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 91.782 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 91.782 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 91.782 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 91.782 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 91.782 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 91.783 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 91.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 91.784 * [backup-simplify]: Simplify (- 0) into 0 91.784 * [backup-simplify]: Simplify (+ (/ 1 lambda2) 0) into (/ 1 lambda2) 91.784 * [backup-simplify]: Simplify (+ (* -1 (/ 1 lambda2)) (* (/ 1 lambda2) -1)) into (- (* 2 (/ 1 lambda2))) 91.785 * [backup-simplify]: Simplify (+ 0) into 0 91.786 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 91.786 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 91.786 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 91.786 * [backup-simplify]: Simplify (+ 0 0) into 0 91.787 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 91.787 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 91.788 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 91.788 * [backup-simplify]: Simplify (- 0) into 0 91.789 * [backup-simplify]: Simplify (+ 0 0) into 0 91.789 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 91.790 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (- (* 2 (/ 1 lambda2)))) (* 0 1)) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 91.791 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into (/ -2 lambda2) 91.791 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 91.791 * [backup-simplify]: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2))) 91.792 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) 91.792 * [taylor]: Taking taylor expansion of (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) in lambda2 91.792 * [taylor]: Taking taylor expansion of -2/3 in lambda2 91.792 * [backup-simplify]: Simplify -2/3 into -2/3 91.792 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2) in lambda2 91.792 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 91.792 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 91.792 * [taylor]: Taking taylor expansion of 1/3 in lambda2 91.792 * [backup-simplify]: Simplify 1/3 into 1/3 91.792 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 91.792 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 91.792 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 91.792 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 91.792 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 91.792 * [taylor]: Taking taylor expansion of -1/2 in lambda2 91.792 * [backup-simplify]: Simplify -1/2 into -1/2 91.792 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 91.792 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 91.793 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.793 * [backup-simplify]: Simplify phi1 into phi1 91.793 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.793 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 91.793 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.793 * [backup-simplify]: Simplify phi2 into phi2 91.793 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.793 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 91.793 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 91.793 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.793 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.793 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.794 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 91.794 * [backup-simplify]: Simplify (- 0) into 0 91.794 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.794 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.795 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 91.795 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 91.795 * [taylor]: Taking taylor expansion of 2 in lambda2 91.795 * [backup-simplify]: Simplify 2 into 2 91.795 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 91.795 * [taylor]: Taking taylor expansion of lambda1 in lambda2 91.795 * [backup-simplify]: Simplify lambda1 into lambda1 91.795 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 91.795 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 91.795 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 91.795 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 91.795 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 91.796 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 91.796 * [taylor]: Taking taylor expansion of lambda2 in lambda2 91.796 * [backup-simplify]: Simplify 0 into 0 91.796 * [backup-simplify]: Simplify 1 into 1 91.796 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 91.797 * [backup-simplify]: Simplify (+ 0) into 0 91.797 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 91.797 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 91.797 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 91.798 * [backup-simplify]: Simplify (+ 0 0) into 0 91.798 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 91.799 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 91.800 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 91.800 * [backup-simplify]: Simplify (- 0) into 0 91.800 * [backup-simplify]: Simplify (+ 0 0) into 0 91.801 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 91.802 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 91.803 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 91.803 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 91.803 * [backup-simplify]: Simplify (- 0) into 0 91.804 * [backup-simplify]: Simplify (+ 0 0) into 0 91.805 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 91.806 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 91.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 91.808 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))))) into 0 91.808 * [taylor]: Taking taylor expansion of 0 in phi1 91.808 * [backup-simplify]: Simplify 0 into 0 91.808 * [taylor]: Taking taylor expansion of 0 in phi2 91.808 * [backup-simplify]: Simplify 0 into 0 91.808 * [backup-simplify]: Simplify 0 into 0 91.808 * [backup-simplify]: Simplify (+ 0) into 0 91.809 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 91.809 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 91.809 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 91.809 * [backup-simplify]: Simplify (+ 0 0) into 0 91.810 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 91.811 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 91.811 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 91.812 * [backup-simplify]: Simplify (- 0) into 0 91.812 * [backup-simplify]: Simplify (+ 0 0) into 0 91.812 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 91.813 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 91.814 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 91.814 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 91.815 * [backup-simplify]: Simplify (- 0) into 0 91.815 * [backup-simplify]: Simplify (+ 0 0) into 0 91.816 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 91.817 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 91.817 * [taylor]: Taking taylor expansion of 0 in phi1 91.817 * [backup-simplify]: Simplify 0 into 0 91.817 * [taylor]: Taking taylor expansion of 0 in phi2 91.817 * [backup-simplify]: Simplify 0 into 0 91.817 * [backup-simplify]: Simplify 0 into 0 91.817 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 91.818 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 91.819 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 91.819 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 91.820 * [backup-simplify]: Simplify (- 0) into 0 91.820 * [backup-simplify]: Simplify (+ 0 0) into 0 91.821 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 91.822 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 91.822 * [taylor]: Taking taylor expansion of 0 in phi2 91.822 * [backup-simplify]: Simplify 0 into 0 91.822 * [backup-simplify]: Simplify 0 into 0 91.823 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 91.824 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 91.824 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 91.825 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 91.825 * [backup-simplify]: Simplify (- 0) into 0 91.826 * [backup-simplify]: Simplify (+ 0 0) into 0 91.826 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 91.827 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 91.827 * [backup-simplify]: Simplify 0 into 0 91.828 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 91.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 91.829 * [backup-simplify]: Simplify (- 0) into 0 91.829 * [backup-simplify]: Simplify (+ 0 0) into 0 91.830 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 lambda2) (/ 1 lambda2)) (* 0 -1))) into (/ 1 (pow lambda2 2)) 91.830 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 91.831 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 91.831 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 91.831 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 91.831 * [backup-simplify]: Simplify (+ 0 0) into 0 91.832 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 91.832 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 91.832 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 91.833 * [backup-simplify]: Simplify (- 0) into 0 91.833 * [backup-simplify]: Simplify (+ 0 0) into 0 91.833 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 91.834 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 1 (pow lambda2 2))) (+ (* 0 (- (* 2 (/ 1 lambda2)))) (* 0 1))) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 91.834 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into (/ -1 (pow lambda2 2)) 91.835 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 91.835 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into (- (* 1/3 (/ 1 (pow lambda2 2)))) 91.835 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow lambda2 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) 91.835 * [taylor]: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) in lambda2 91.835 * [taylor]: Taking taylor expansion of -1/9 in lambda2 91.836 * [backup-simplify]: Simplify -1/9 into -1/9 91.836 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)) in lambda2 91.836 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 91.836 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 91.836 * [taylor]: Taking taylor expansion of 1/3 in lambda2 91.836 * [backup-simplify]: Simplify 1/3 into 1/3 91.836 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 91.836 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 91.836 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 91.836 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 91.836 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 91.836 * [taylor]: Taking taylor expansion of -1/2 in lambda2 91.836 * [backup-simplify]: Simplify -1/2 into -1/2 91.836 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 91.836 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 91.836 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.836 * [backup-simplify]: Simplify phi1 into phi1 91.836 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.836 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 91.836 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.836 * [backup-simplify]: Simplify phi2 into phi2 91.836 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.836 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 91.836 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 91.836 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.836 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.836 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.836 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 91.837 * [backup-simplify]: Simplify (- 0) into 0 91.837 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.837 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.837 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 91.837 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 91.837 * [taylor]: Taking taylor expansion of 2 in lambda2 91.837 * [backup-simplify]: Simplify 2 into 2 91.837 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 91.837 * [taylor]: Taking taylor expansion of lambda1 in lambda2 91.837 * [backup-simplify]: Simplify lambda1 into lambda1 91.837 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 91.837 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 91.837 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 91.837 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 91.837 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 91.838 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 91.838 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 91.838 * [taylor]: Taking taylor expansion of lambda2 in lambda2 91.838 * [backup-simplify]: Simplify 0 into 0 91.838 * [backup-simplify]: Simplify 1 into 1 91.838 * [backup-simplify]: Simplify (* 1 1) into 1 91.838 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 91.838 * [backup-simplify]: Simplify (+ 0) into 0 91.839 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 91.839 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 91.839 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 91.839 * [backup-simplify]: Simplify (+ 0 0) into 0 91.839 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 91.840 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 91.840 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 91.840 * [backup-simplify]: Simplify (- 0) into 0 91.841 * [backup-simplify]: Simplify (+ 0 0) into 0 91.841 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 91.843 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 91.844 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 91.844 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 91.844 * [backup-simplify]: Simplify (- 0) into 0 91.844 * [backup-simplify]: Simplify (+ 0 0) into 0 91.845 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 91.845 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 91.846 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 91.846 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 91.846 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 91.846 * [backup-simplify]: Simplify (+ 0 0) into 0 91.847 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 91.847 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 91.848 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 91.848 * [backup-simplify]: Simplify (- 0) into 0 91.848 * [backup-simplify]: Simplify (+ 0 0) into 0 91.848 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 91.850 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 91.850 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 91.851 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 91.851 * [backup-simplify]: Simplify (- 0) into 0 91.851 * [backup-simplify]: Simplify (+ 0 0) into 0 91.852 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 91.853 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 91.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 91.854 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 91.854 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 91.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 91.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 91.857 * [backup-simplify]: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0 91.857 * [taylor]: Taking taylor expansion of 0 in phi1 91.857 * [backup-simplify]: Simplify 0 into 0 91.857 * [taylor]: Taking taylor expansion of 0 in phi2 91.857 * [backup-simplify]: Simplify 0 into 0 91.857 * [backup-simplify]: Simplify 0 into 0 91.857 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 91.858 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 91.858 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 91.858 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 91.858 * [backup-simplify]: Simplify (+ 0 0) into 0 91.859 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 91.859 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 91.860 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 91.860 * [backup-simplify]: Simplify (- 0) into 0 91.860 * [backup-simplify]: Simplify (+ 0 0) into 0 91.861 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 91.862 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 91.863 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 91.863 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 91.863 * [backup-simplify]: Simplify (- 0) into 0 91.864 * [backup-simplify]: Simplify (+ 0 0) into 0 91.864 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 91.866 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 91.867 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 91.868 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0 91.868 * [taylor]: Taking taylor expansion of 0 in phi1 91.868 * [backup-simplify]: Simplify 0 into 0 91.868 * [taylor]: Taking taylor expansion of 0 in phi2 91.868 * [backup-simplify]: Simplify 0 into 0 91.868 * [backup-simplify]: Simplify 0 into 0 91.869 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) 2)) (* 2 (log (/ 1 (- lambda1))))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log (/ -1 lambda1)))))) 91.869 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 2) 91.869 * [backup-simplify]: Simplify (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) into (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) 91.869 * [approximate]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in (lambda1 lambda2 phi1 phi2) around 0 91.869 * [taylor]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in phi2 91.869 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in phi2 91.870 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in phi2 91.870 * [taylor]: Taking taylor expansion of 1/3 in phi2 91.870 * [backup-simplify]: Simplify 1/3 into 1/3 91.870 * [taylor]: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in phi2 91.870 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi2 91.870 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi2 91.870 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi2 91.870 * [taylor]: Taking taylor expansion of lambda1 in phi2 91.870 * [backup-simplify]: Simplify lambda1 into lambda1 91.870 * [taylor]: Taking taylor expansion of lambda2 in phi2 91.870 * [backup-simplify]: Simplify lambda2 into lambda2 91.870 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 91.870 * [backup-simplify]: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) 91.870 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 91.870 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 91.870 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 91.870 * [taylor]: Taking taylor expansion of 1/2 in phi2 91.870 * [backup-simplify]: Simplify 1/2 into 1/2 91.870 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 91.870 * [taylor]: Taking taylor expansion of phi1 in phi2 91.870 * [backup-simplify]: Simplify phi1 into phi1 91.870 * [taylor]: Taking taylor expansion of phi2 in phi2 91.870 * [backup-simplify]: Simplify 0 into 0 91.870 * [backup-simplify]: Simplify 1 into 1 91.870 * [backup-simplify]: Simplify (+ phi1 0) into phi1 91.870 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 91.870 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 91.870 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 91.870 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 91.871 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0 91.871 * [backup-simplify]: Simplify (- 0) into 0 91.871 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 91.871 * [backup-simplify]: Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2) 91.871 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2) 91.872 * [backup-simplify]: Simplify (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) into (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) 91.872 * [backup-simplify]: Simplify (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))) into (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))) 91.872 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)))) into (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)))) 91.873 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))))) into (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) 1/3) 91.873 * [taylor]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in phi1 91.873 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in phi1 91.873 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in phi1 91.873 * [taylor]: Taking taylor expansion of 1/3 in phi1 91.873 * [backup-simplify]: Simplify 1/3 into 1/3 91.873 * [taylor]: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in phi1 91.873 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 91.873 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi1 91.873 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi1 91.873 * [taylor]: Taking taylor expansion of lambda1 in phi1 91.873 * [backup-simplify]: Simplify lambda1 into lambda1 91.873 * [taylor]: Taking taylor expansion of lambda2 in phi1 91.873 * [backup-simplify]: Simplify lambda2 into lambda2 91.873 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 91.873 * [backup-simplify]: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) 91.873 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 91.873 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 91.873 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 91.873 * [taylor]: Taking taylor expansion of 1/2 in phi1 91.873 * [backup-simplify]: Simplify 1/2 into 1/2 91.873 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 91.873 * [taylor]: Taking taylor expansion of phi1 in phi1 91.873 * [backup-simplify]: Simplify 0 into 0 91.873 * [backup-simplify]: Simplify 1 into 1 91.873 * [taylor]: Taking taylor expansion of phi2 in phi1 91.873 * [backup-simplify]: Simplify phi2 into phi2 91.873 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 91.874 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 91.874 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 91.874 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 91.874 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 91.874 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 91.875 * [backup-simplify]: Simplify (- 0) into 0 91.875 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 91.875 * [backup-simplify]: Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2) 91.875 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 91.875 * [backup-simplify]: Simplify (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)) into (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 91.875 * [backup-simplify]: Simplify (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) into (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) 91.876 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) 91.876 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))) into (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3) 91.876 * [taylor]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in lambda2 91.876 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in lambda2 91.876 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda2 91.876 * [taylor]: Taking taylor expansion of 1/3 in lambda2 91.876 * [backup-simplify]: Simplify 1/3 into 1/3 91.876 * [taylor]: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda2 91.876 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 91.876 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda2 91.876 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 91.876 * [taylor]: Taking taylor expansion of lambda1 in lambda2 91.876 * [backup-simplify]: Simplify lambda1 into lambda1 91.876 * [taylor]: Taking taylor expansion of lambda2 in lambda2 91.876 * [backup-simplify]: Simplify 0 into 0 91.876 * [backup-simplify]: Simplify 1 into 1 91.877 * [backup-simplify]: Simplify (- 0) into 0 91.877 * [backup-simplify]: Simplify (+ lambda1 0) into lambda1 91.877 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 91.877 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 91.877 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 91.877 * [taylor]: Taking taylor expansion of 1/2 in lambda2 91.877 * [backup-simplify]: Simplify 1/2 into 1/2 91.877 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 91.877 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.877 * [backup-simplify]: Simplify phi1 into phi1 91.877 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.877 * [backup-simplify]: Simplify phi2 into phi2 91.877 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 91.877 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 91.877 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 91.877 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 91.877 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 91.877 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 91.878 * [backup-simplify]: Simplify (- 0) into 0 91.878 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 91.878 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 91.878 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 91.878 * [backup-simplify]: Simplify (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) 91.879 * [backup-simplify]: Simplify (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))) into (log (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 91.879 * [backup-simplify]: Simplify (* 1/3 (log (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)))) 91.879 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))))) into (pow (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) 91.879 * [taylor]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in lambda1 91.879 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in lambda1 91.879 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda1 91.879 * [taylor]: Taking taylor expansion of 1/3 in lambda1 91.879 * [backup-simplify]: Simplify 1/3 into 1/3 91.879 * [taylor]: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda1 91.879 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 91.879 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda1 91.879 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 91.879 * [taylor]: Taking taylor expansion of lambda1 in lambda1 91.879 * [backup-simplify]: Simplify 0 into 0 91.879 * [backup-simplify]: Simplify 1 into 1 91.879 * [taylor]: Taking taylor expansion of lambda2 in lambda1 91.880 * [backup-simplify]: Simplify lambda2 into lambda2 91.880 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 91.880 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 91.880 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 91.880 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 91.880 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 91.880 * [taylor]: Taking taylor expansion of 1/2 in lambda1 91.880 * [backup-simplify]: Simplify 1/2 into 1/2 91.880 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 91.880 * [taylor]: Taking taylor expansion of phi1 in lambda1 91.880 * [backup-simplify]: Simplify phi1 into phi1 91.880 * [taylor]: Taking taylor expansion of phi2 in lambda1 91.880 * [backup-simplify]: Simplify phi2 into phi2 91.880 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 91.880 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 91.880 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 91.880 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 91.880 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 91.880 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 91.881 * [backup-simplify]: Simplify (- 0) into 0 91.881 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 91.881 * [backup-simplify]: Simplify (* (- lambda2) (- lambda2)) into (pow lambda2 2) 91.881 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 91.881 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 91.882 * [backup-simplify]: Simplify (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 91.882 * [backup-simplify]: Simplify (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 91.882 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) 91.882 * [taylor]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in lambda1 91.882 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in lambda1 91.882 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda1 91.882 * [taylor]: Taking taylor expansion of 1/3 in lambda1 91.882 * [backup-simplify]: Simplify 1/3 into 1/3 91.882 * [taylor]: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda1 91.882 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 91.882 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda1 91.882 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 91.882 * [taylor]: Taking taylor expansion of lambda1 in lambda1 91.882 * [backup-simplify]: Simplify 0 into 0 91.882 * [backup-simplify]: Simplify 1 into 1 91.882 * [taylor]: Taking taylor expansion of lambda2 in lambda1 91.882 * [backup-simplify]: Simplify lambda2 into lambda2 91.883 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 91.883 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 91.883 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 91.883 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 91.883 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 91.883 * [taylor]: Taking taylor expansion of 1/2 in lambda1 91.883 * [backup-simplify]: Simplify 1/2 into 1/2 91.883 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 91.883 * [taylor]: Taking taylor expansion of phi1 in lambda1 91.883 * [backup-simplify]: Simplify phi1 into phi1 91.883 * [taylor]: Taking taylor expansion of phi2 in lambda1 91.883 * [backup-simplify]: Simplify phi2 into phi2 91.883 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 91.883 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 91.883 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 91.883 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 91.883 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 91.883 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 91.884 * [backup-simplify]: Simplify (- 0) into 0 91.884 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 91.884 * [backup-simplify]: Simplify (* (- lambda2) (- lambda2)) into (pow lambda2 2) 91.884 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 91.884 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 91.885 * [backup-simplify]: Simplify (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 91.885 * [backup-simplify]: Simplify (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 91.885 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) 91.885 * [taylor]: Taking taylor expansion of (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in lambda2 91.885 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in lambda2 91.885 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda2 91.885 * [taylor]: Taking taylor expansion of 1/3 in lambda2 91.885 * [backup-simplify]: Simplify 1/3 into 1/3 91.885 * [taylor]: Taking taylor expansion of (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda2 91.885 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 91.885 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 91.885 * [taylor]: Taking taylor expansion of lambda2 in lambda2 91.885 * [backup-simplify]: Simplify 0 into 0 91.885 * [backup-simplify]: Simplify 1 into 1 91.885 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 91.885 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 91.886 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 91.886 * [taylor]: Taking taylor expansion of 1/2 in lambda2 91.886 * [backup-simplify]: Simplify 1/2 into 1/2 91.886 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 91.886 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.886 * [backup-simplify]: Simplify phi1 into phi1 91.886 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.886 * [backup-simplify]: Simplify phi2 into phi2 91.886 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 91.886 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 91.886 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 91.886 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 91.886 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 91.886 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 91.887 * [backup-simplify]: Simplify (- 0) into 0 91.887 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 91.887 * [backup-simplify]: Simplify (* 1 1) into 1 91.887 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 91.887 * [backup-simplify]: Simplify (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 91.888 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 91.888 * [backup-simplify]: Simplify (+ (* (- -2) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))) 91.888 * [backup-simplify]: Simplify (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))) into (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))) 91.889 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) 91.889 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) in phi1 91.889 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))) in phi1 91.889 * [taylor]: Taking taylor expansion of 1/3 in phi1 91.889 * [backup-simplify]: Simplify 1/3 into 1/3 91.889 * [taylor]: Taking taylor expansion of (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))) in phi1 91.889 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 91.889 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 91.889 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 91.889 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 91.889 * [taylor]: Taking taylor expansion of 1/2 in phi1 91.889 * [backup-simplify]: Simplify 1/2 into 1/2 91.889 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 91.889 * [taylor]: Taking taylor expansion of phi1 in phi1 91.889 * [backup-simplify]: Simplify 0 into 0 91.889 * [backup-simplify]: Simplify 1 into 1 91.889 * [taylor]: Taking taylor expansion of phi2 in phi1 91.889 * [backup-simplify]: Simplify phi2 into phi2 91.889 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 91.889 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 91.889 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 91.889 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 91.889 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 91.890 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 91.890 * [backup-simplify]: Simplify (- 0) into 0 91.890 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 91.890 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 91.890 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 phi2)) 2)) into (log (pow (cos (* 1/2 phi2)) 2)) 91.890 * [taylor]: Taking taylor expansion of (* 2 (log lambda2)) in phi1 91.890 * [taylor]: Taking taylor expansion of 2 in phi1 91.890 * [backup-simplify]: Simplify 2 into 2 91.890 * [taylor]: Taking taylor expansion of (log lambda2) in phi1 91.890 * [taylor]: Taking taylor expansion of lambda2 in phi1 91.890 * [backup-simplify]: Simplify lambda2 into lambda2 91.890 * [backup-simplify]: Simplify (log lambda2) into (log lambda2) 91.891 * [backup-simplify]: Simplify (* 2 (log lambda2)) into (* 2 (log lambda2)) 91.891 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) into (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) 91.891 * [backup-simplify]: Simplify (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))) into (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))) 91.891 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) 91.891 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) in phi2 91.891 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))) in phi2 91.891 * [taylor]: Taking taylor expansion of 1/3 in phi2 91.891 * [backup-simplify]: Simplify 1/3 into 1/3 91.891 * [taylor]: Taking taylor expansion of (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) in phi2 91.891 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2 91.891 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 91.891 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 91.891 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 91.891 * [taylor]: Taking taylor expansion of 1/2 in phi2 91.891 * [backup-simplify]: Simplify 1/2 into 1/2 91.891 * [taylor]: Taking taylor expansion of phi2 in phi2 91.891 * [backup-simplify]: Simplify 0 into 0 91.892 * [backup-simplify]: Simplify 1 into 1 91.892 * [backup-simplify]: Simplify (* 1/2 0) into 0 91.893 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 91.893 * [backup-simplify]: Simplify (* 1 1) into 1 91.893 * [backup-simplify]: Simplify (log 1) into 0 91.893 * [taylor]: Taking taylor expansion of (* 2 (log lambda2)) in phi2 91.893 * [taylor]: Taking taylor expansion of 2 in phi2 91.893 * [backup-simplify]: Simplify 2 into 2 91.894 * [taylor]: Taking taylor expansion of (log lambda2) in phi2 91.894 * [taylor]: Taking taylor expansion of lambda2 in phi2 91.894 * [backup-simplify]: Simplify lambda2 into lambda2 91.894 * [backup-simplify]: Simplify (log lambda2) into (log lambda2) 91.894 * [backup-simplify]: Simplify (* 2 (log lambda2)) into (* 2 (log lambda2)) 91.894 * [backup-simplify]: Simplify (+ 0 (* 2 (log lambda2))) into (* 2 (log lambda2)) 91.894 * [backup-simplify]: Simplify (* 1/3 (* 2 (log lambda2))) into (* 2/3 (log lambda2)) 91.894 * [backup-simplify]: Simplify (exp (* 2/3 (log lambda2))) into (pow lambda2 2/3) 91.894 * [backup-simplify]: Simplify (pow lambda2 2/3) into (pow lambda2 2/3) 91.894 * [backup-simplify]: Simplify (+ 0) into 0 91.895 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 91.895 * [backup-simplify]: Simplify (+ 0 0) into 0 91.896 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 91.897 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 91.897 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 91.897 * [backup-simplify]: Simplify (- 0) into 0 91.898 * [backup-simplify]: Simplify (+ 0 0) into 0 91.898 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 91.898 * [backup-simplify]: Simplify (- 0) into 0 91.899 * [backup-simplify]: Simplify (+ 1 0) into 1 91.899 * [backup-simplify]: Simplify (+ (* (- lambda2) 1) (* 1 (- lambda2))) into (- (* 2 lambda2)) 91.899 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (* (- (* 2 lambda2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 91.900 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 1)) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)))) 1) into (/ -2 lambda2) 91.900 * [backup-simplify]: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (- (* 2/3 (/ 1 lambda2))) 91.901 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3)) 91.901 * [taylor]: Taking taylor expansion of (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3)) in lambda2 91.901 * [taylor]: Taking taylor expansion of -2/3 in lambda2 91.901 * [backup-simplify]: Simplify -2/3 into -2/3 91.901 * [taylor]: Taking taylor expansion of (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3) in lambda2 91.901 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)))) in lambda2 91.901 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2))) in lambda2 91.901 * [taylor]: Taking taylor expansion of 1/3 in lambda2 91.901 * [backup-simplify]: Simplify 1/3 into 1/3 91.901 * [taylor]: Taking taylor expansion of (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)) in lambda2 91.901 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) in lambda2 91.901 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 91.901 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 91.901 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 91.901 * [taylor]: Taking taylor expansion of 1/2 in lambda2 91.901 * [backup-simplify]: Simplify 1/2 into 1/2 91.901 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 91.901 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.901 * [backup-simplify]: Simplify phi1 into phi1 91.901 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.901 * [backup-simplify]: Simplify phi2 into phi2 91.901 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 91.901 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 91.901 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 91.902 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 91.902 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 91.902 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 91.902 * [backup-simplify]: Simplify (- 0) into 0 91.902 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 91.902 * [taylor]: Taking taylor expansion of lambda2 in lambda2 91.902 * [backup-simplify]: Simplify 0 into 0 91.902 * [backup-simplify]: Simplify 1 into 1 91.903 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 91.903 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 91.903 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 91.903 * [backup-simplify]: Simplify (+ (* (- 1) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)) 91.904 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))) 91.904 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))) 91.904 * [backup-simplify]: Simplify (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))))) into (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))))) 91.904 * [taylor]: Taking taylor expansion of (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))))) in phi1 91.904 * [taylor]: Taking taylor expansion of -2/3 in phi1 91.904 * [backup-simplify]: Simplify -2/3 into -2/3 91.904 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))) in phi1 91.904 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))) in phi1 91.904 * [taylor]: Taking taylor expansion of 1/3 in phi1 91.904 * [backup-simplify]: Simplify 1/3 into 1/3 91.904 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)) in phi1 91.904 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 91.904 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 91.904 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 91.904 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 91.905 * [taylor]: Taking taylor expansion of 1/2 in phi1 91.905 * [backup-simplify]: Simplify 1/2 into 1/2 91.905 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 91.905 * [taylor]: Taking taylor expansion of phi1 in phi1 91.905 * [backup-simplify]: Simplify 0 into 0 91.905 * [backup-simplify]: Simplify 1 into 1 91.905 * [taylor]: Taking taylor expansion of phi2 in phi1 91.905 * [backup-simplify]: Simplify phi2 into phi2 91.905 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 91.905 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 91.905 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 91.905 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 91.905 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 91.905 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 91.905 * [backup-simplify]: Simplify (- 0) into 0 91.906 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 91.906 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 91.906 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 phi2)) 2)) into (log (pow (cos (* 1/2 phi2)) 2)) 91.906 * [taylor]: Taking taylor expansion of (log lambda2) in phi1 91.906 * [taylor]: Taking taylor expansion of lambda2 in phi1 91.906 * [backup-simplify]: Simplify lambda2 into lambda2 91.906 * [backup-simplify]: Simplify (log lambda2) into (log lambda2) 91.906 * [backup-simplify]: Simplify (- (log lambda2)) into (- (log lambda2)) 91.906 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 phi2)) 2)) (- (log lambda2))) into (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)) 91.906 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))) into (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))) 91.907 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)))) 91.907 * [backup-simplify]: Simplify (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))))) into (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))))) 91.907 * [taylor]: Taking taylor expansion of (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))))) in phi2 91.907 * [taylor]: Taking taylor expansion of -2/3 in phi2 91.907 * [backup-simplify]: Simplify -2/3 into -2/3 91.907 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)))) in phi2 91.907 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))) in phi2 91.907 * [taylor]: Taking taylor expansion of 1/3 in phi2 91.907 * [backup-simplify]: Simplify 1/3 into 1/3 91.907 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)) in phi2 91.907 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2 91.907 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 91.907 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 91.907 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 91.907 * [taylor]: Taking taylor expansion of 1/2 in phi2 91.907 * [backup-simplify]: Simplify 1/2 into 1/2 91.907 * [taylor]: Taking taylor expansion of phi2 in phi2 91.907 * [backup-simplify]: Simplify 0 into 0 91.907 * [backup-simplify]: Simplify 1 into 1 91.908 * [backup-simplify]: Simplify (* 1/2 0) into 0 91.908 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 91.909 * [backup-simplify]: Simplify (* 1 1) into 1 91.909 * [backup-simplify]: Simplify (log 1) into 0 91.909 * [taylor]: Taking taylor expansion of (log lambda2) in phi2 91.909 * [taylor]: Taking taylor expansion of lambda2 in phi2 91.909 * [backup-simplify]: Simplify lambda2 into lambda2 91.909 * [backup-simplify]: Simplify (log lambda2) into (log lambda2) 91.909 * [backup-simplify]: Simplify (- (log lambda2)) into (- (log lambda2)) 91.909 * [backup-simplify]: Simplify (+ 0 (- (log lambda2))) into (- (log lambda2)) 91.910 * [backup-simplify]: Simplify (* 1/3 (- (log lambda2))) into (* -1/3 (log lambda2)) 91.910 * [backup-simplify]: Simplify (exp (* -1/3 (log lambda2))) into (pow lambda2 -1/3) 91.910 * [backup-simplify]: Simplify (* -2/3 (pow lambda2 -1/3)) into (* -2/3 (pow (/ 1 lambda2) 1/3)) 91.910 * [backup-simplify]: Simplify (* -2/3 (pow (/ 1 lambda2) 1/3)) into (* -2/3 (pow (/ 1 lambda2) 1/3)) 91.910 * [backup-simplify]: Simplify (+ 0) into 0 91.911 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 91.911 * [backup-simplify]: Simplify (+ 0 0) into 0 91.912 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 91.913 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 91.913 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 91.914 * [backup-simplify]: Simplify (- 0) into 0 91.914 * [backup-simplify]: Simplify (+ 0 0) into 0 91.914 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 91.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 91.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into 0 91.916 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1)))) 1) into 0 91.917 * [backup-simplify]: Simplify (+ (* (- -2) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))) 91.917 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) into 0 91.918 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) (+ (* (/ (pow 0 1) 1)))) into 0 91.918 * [taylor]: Taking taylor expansion of 0 in phi1 91.918 * [backup-simplify]: Simplify 0 into 0 91.918 * [taylor]: Taking taylor expansion of 0 in phi2 91.918 * [backup-simplify]: Simplify 0 into 0 91.918 * [backup-simplify]: Simplify 0 into 0 91.919 * [backup-simplify]: Simplify (+ 0) into 0 91.919 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 91.920 * [backup-simplify]: Simplify (+ 1 0) into 1 91.920 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 91.921 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 91.921 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 91.922 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 91.922 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 91.922 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) (- (* 1/2 (sin (* 1/2 phi2))))) (* (- (* 1/2 (sin (* 1/2 phi2)))) (cos (* 1/2 phi2)))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) 91.923 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))))) 1)) (pow (pow (cos (* 1/2 phi2)) 2) 1)))) 1) into (* -1 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) 91.924 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0 91.924 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0 91.924 * [backup-simplify]: Simplify (+ (* -1 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) 0) into (- (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) 91.925 * [backup-simplify]: Simplify (+ (* 1/3 (- (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2))))) (* 0 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) into (- (* 1/3 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2))))) 91.925 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) (+ (* (/ (pow (- (* 1/3 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2))))) 1) 1)))) into (* -1/3 (/ (* (sin (* 1/2 phi2)) (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))))) (cos (* 1/2 phi2)))) 91.925 * [taylor]: Taking taylor expansion of (* -1/3 (/ (* (sin (* 1/2 phi2)) (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))))) (cos (* 1/2 phi2)))) in phi2 91.925 * [taylor]: Taking taylor expansion of -1/3 in phi2 91.925 * [backup-simplify]: Simplify -1/3 into -1/3 91.925 * [taylor]: Taking taylor expansion of (/ (* (sin (* 1/2 phi2)) (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))))) (cos (* 1/2 phi2))) in phi2 91.925 * [taylor]: Taking taylor expansion of (* (sin (* 1/2 phi2)) (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))))) in phi2 91.925 * [taylor]: Taking taylor expansion of (sin (* 1/2 phi2)) in phi2 91.925 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 91.925 * [taylor]: Taking taylor expansion of 1/2 in phi2 91.925 * [backup-simplify]: Simplify 1/2 into 1/2 91.925 * [taylor]: Taking taylor expansion of phi2 in phi2 91.925 * [backup-simplify]: Simplify 0 into 0 91.925 * [backup-simplify]: Simplify 1 into 1 91.926 * [backup-simplify]: Simplify (* 1/2 0) into 0 91.927 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 91.927 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) in phi2 91.927 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))) in phi2 91.927 * [taylor]: Taking taylor expansion of 1/3 in phi2 91.927 * [backup-simplify]: Simplify 1/3 into 1/3 91.927 * [taylor]: Taking taylor expansion of (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) in phi2 91.927 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2 91.927 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 91.927 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 91.927 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 91.927 * [taylor]: Taking taylor expansion of 1/2 in phi2 91.927 * [backup-simplify]: Simplify 1/2 into 1/2 91.927 * [taylor]: Taking taylor expansion of phi2 in phi2 91.927 * [backup-simplify]: Simplify 0 into 0 91.927 * [backup-simplify]: Simplify 1 into 1 91.927 * [backup-simplify]: Simplify (* 1/2 0) into 0 91.928 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 91.929 * [backup-simplify]: Simplify (* 1 1) into 1 91.929 * [backup-simplify]: Simplify (log 1) into 0 91.929 * [taylor]: Taking taylor expansion of (* 2 (log lambda2)) in phi2 91.929 * [taylor]: Taking taylor expansion of 2 in phi2 91.929 * [backup-simplify]: Simplify 2 into 2 91.929 * [taylor]: Taking taylor expansion of (log lambda2) in phi2 91.929 * [taylor]: Taking taylor expansion of lambda2 in phi2 91.929 * [backup-simplify]: Simplify lambda2 into lambda2 91.929 * [backup-simplify]: Simplify (log lambda2) into (log lambda2) 91.929 * [backup-simplify]: Simplify (* 2 (log lambda2)) into (* 2 (log lambda2)) 91.929 * [backup-simplify]: Simplify (+ 0 (* 2 (log lambda2))) into (* 2 (log lambda2)) 91.929 * [backup-simplify]: Simplify (* 1/3 (* 2 (log lambda2))) into (* 2/3 (log lambda2)) 91.929 * [backup-simplify]: Simplify (exp (* 2/3 (log lambda2))) into (pow lambda2 2/3) 91.929 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 91.930 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 91.930 * [taylor]: Taking taylor expansion of 1/2 in phi2 91.930 * [backup-simplify]: Simplify 1/2 into 1/2 91.930 * [taylor]: Taking taylor expansion of phi2 in phi2 91.930 * [backup-simplify]: Simplify 0 into 0 91.930 * [backup-simplify]: Simplify 1 into 1 91.930 * [backup-simplify]: Simplify (* 1/2 0) into 0 91.931 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 91.931 * [backup-simplify]: Simplify (* 0 (pow lambda2 2/3)) into 0 91.931 * [backup-simplify]: Simplify (+ 0) into 0 91.932 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 91.933 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 91.934 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0 91.935 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0 91.935 * [backup-simplify]: Simplify (+ 0 0) into 0 91.935 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log lambda2)))) into 0 91.936 * [backup-simplify]: Simplify (* (exp (* 2/3 (log lambda2))) (+ (* (/ (pow 0 1) 1)))) into 0 91.937 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 91.938 * [backup-simplify]: Simplify (+ (* 0 0) (* 1/2 (pow lambda2 2/3))) into (* 1/2 (pow (pow lambda2 2) 1/3)) 91.938 * [backup-simplify]: Simplify (/ (* 1/2 (pow (pow lambda2 2) 1/3)) 1) into (* 1/2 (pow (pow lambda2 2) 1/3)) 91.938 * [backup-simplify]: Simplify (+ 0) into 0 91.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 91.940 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 91.941 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0 91.941 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0 91.942 * [backup-simplify]: Simplify (+ 0 0) into 0 91.942 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log lambda2)))) into 0 91.943 * [backup-simplify]: Simplify (* (exp (* 2/3 (log lambda2))) (+ (* (/ (pow 0 1) 1)))) into 0 91.943 * [backup-simplify]: Simplify 0 into 0 91.944 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 91.945 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 91.945 * [backup-simplify]: Simplify (+ 0 0) into 0 91.946 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ phi1 phi2)))) into 0 91.947 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 91.947 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 91.948 * [backup-simplify]: Simplify (- 0) into 0 91.948 * [backup-simplify]: Simplify (+ 0 0) into 0 91.949 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 91.949 * [backup-simplify]: Simplify (- 0) into 0 91.949 * [backup-simplify]: Simplify (+ 0 0) into 0 91.950 * [backup-simplify]: Simplify (+ (* (- lambda2) 0) (+ (* 1 1) (* 0 (- lambda2)))) into 1 91.950 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (+ (* (- (* 2 lambda2)) 0) (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 91.951 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 2)) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)))) 2) into (/ -1 (pow lambda2 2)) 91.952 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))))) into (- (* 1/3 (/ 1 (pow lambda2 2)))) 91.952 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow lambda2 2)))) 1) 1)))) into (* -1/9 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3)) 91.953 * [taylor]: Taking taylor expansion of (* -1/9 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3)) in lambda2 91.953 * [taylor]: Taking taylor expansion of -1/9 in lambda2 91.953 * [backup-simplify]: Simplify -1/9 into -1/9 91.953 * [taylor]: Taking taylor expansion of (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3) in lambda2 91.953 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4))))) in lambda2 91.953 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)))) in lambda2 91.953 * [taylor]: Taking taylor expansion of 1/3 in lambda2 91.953 * [backup-simplify]: Simplify 1/3 into 1/3 91.953 * [taylor]: Taking taylor expansion of (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4))) in lambda2 91.953 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) in lambda2 91.953 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 91.953 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 91.953 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 91.953 * [taylor]: Taking taylor expansion of 1/2 in lambda2 91.953 * [backup-simplify]: Simplify 1/2 into 1/2 91.953 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 91.953 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.953 * [backup-simplify]: Simplify phi1 into phi1 91.953 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.953 * [backup-simplify]: Simplify phi2 into phi2 91.953 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 91.953 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 91.953 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 91.953 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 91.954 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 91.954 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 91.954 * [backup-simplify]: Simplify (- 0) into 0 91.954 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 91.954 * [taylor]: Taking taylor expansion of (pow lambda2 4) in lambda2 91.954 * [taylor]: Taking taylor expansion of lambda2 in lambda2 91.954 * [backup-simplify]: Simplify 0 into 0 91.954 * [backup-simplify]: Simplify 1 into 1 91.955 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 91.955 * [backup-simplify]: Simplify (* 1 1) into 1 91.955 * [backup-simplify]: Simplify (* 1 1) into 1 91.955 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 91.956 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 91.956 * [backup-simplify]: Simplify (+ (* (- 4) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))) 91.956 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))) 91.957 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))) 91.957 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))))) into (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))))) 91.957 * [taylor]: Taking taylor expansion of (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))))) in phi1 91.957 * [taylor]: Taking taylor expansion of -1/9 in phi1 91.957 * [backup-simplify]: Simplify -1/9 into -1/9 91.957 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))) in phi1 91.957 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))) in phi1 91.957 * [taylor]: Taking taylor expansion of 1/3 in phi1 91.957 * [backup-simplify]: Simplify 1/3 into 1/3 91.957 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))) in phi1 91.957 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 91.957 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 91.957 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 91.957 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 91.957 * [taylor]: Taking taylor expansion of 1/2 in phi1 91.957 * [backup-simplify]: Simplify 1/2 into 1/2 91.957 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 91.957 * [taylor]: Taking taylor expansion of phi1 in phi1 91.957 * [backup-simplify]: Simplify 0 into 0 91.957 * [backup-simplify]: Simplify 1 into 1 91.957 * [taylor]: Taking taylor expansion of phi2 in phi1 91.958 * [backup-simplify]: Simplify phi2 into phi2 91.958 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 91.958 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 91.958 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 91.958 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 91.958 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 91.958 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 91.958 * [backup-simplify]: Simplify (- 0) into 0 91.958 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 91.959 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 91.959 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 phi2)) 2)) into (log (pow (cos (* 1/2 phi2)) 2)) 91.959 * [taylor]: Taking taylor expansion of (* 4 (log lambda2)) in phi1 91.959 * [taylor]: Taking taylor expansion of 4 in phi1 91.959 * [backup-simplify]: Simplify 4 into 4 91.959 * [taylor]: Taking taylor expansion of (log lambda2) in phi1 91.959 * [taylor]: Taking taylor expansion of lambda2 in phi1 91.959 * [backup-simplify]: Simplify lambda2 into lambda2 91.959 * [backup-simplify]: Simplify (log lambda2) into (log lambda2) 91.959 * [backup-simplify]: Simplify (* 4 (log lambda2)) into (* 4 (log lambda2)) 91.959 * [backup-simplify]: Simplify (- (* 4 (log lambda2))) into (- (* 4 (log lambda2))) 91.959 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 phi2)) 2)) (- (* 4 (log lambda2)))) into (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))) 91.959 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))) 91.960 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))))) 91.960 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))))) into (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))))) 91.960 * [taylor]: Taking taylor expansion of (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))))) in phi2 91.960 * [taylor]: Taking taylor expansion of -1/9 in phi2 91.960 * [backup-simplify]: Simplify -1/9 into -1/9 91.960 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))))) in phi2 91.960 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))) in phi2 91.960 * [taylor]: Taking taylor expansion of 1/3 in phi2 91.960 * [backup-simplify]: Simplify 1/3 into 1/3 91.960 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))) in phi2 91.960 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2 91.960 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 91.960 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 91.960 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 91.960 * [taylor]: Taking taylor expansion of 1/2 in phi2 91.960 * [backup-simplify]: Simplify 1/2 into 1/2 91.960 * [taylor]: Taking taylor expansion of phi2 in phi2 91.960 * [backup-simplify]: Simplify 0 into 0 91.960 * [backup-simplify]: Simplify 1 into 1 91.961 * [backup-simplify]: Simplify (* 1/2 0) into 0 91.962 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 91.962 * [backup-simplify]: Simplify (* 1 1) into 1 91.962 * [backup-simplify]: Simplify (log 1) into 0 91.962 * [taylor]: Taking taylor expansion of (* 4 (log lambda2)) in phi2 91.962 * [taylor]: Taking taylor expansion of 4 in phi2 91.962 * [backup-simplify]: Simplify 4 into 4 91.962 * [taylor]: Taking taylor expansion of (log lambda2) in phi2 91.962 * [taylor]: Taking taylor expansion of lambda2 in phi2 91.962 * [backup-simplify]: Simplify lambda2 into lambda2 91.963 * [backup-simplify]: Simplify (log lambda2) into (log lambda2) 91.963 * [backup-simplify]: Simplify (* 4 (log lambda2)) into (* 4 (log lambda2)) 91.963 * [backup-simplify]: Simplify (- (* 4 (log lambda2))) into (- (* 4 (log lambda2))) 91.963 * [backup-simplify]: Simplify (+ 0 (- (* 4 (log lambda2)))) into (- (* 4 (log lambda2))) 91.963 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log lambda2)))) into (* -4/3 (log lambda2)) 91.963 * [backup-simplify]: Simplify (exp (* -4/3 (log lambda2))) into (pow lambda2 -4/3) 91.963 * [backup-simplify]: Simplify (* -1/9 (pow lambda2 -4/3)) into (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) 91.963 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) into (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) 91.964 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) (pow (* 1 (* 1 (* 1 lambda1))) 2)) (+ (* (* -2/3 (pow (/ 1 lambda2) 1/3)) (* 1 (* 1 (* 1 lambda1)))) (pow lambda2 2/3))) into (- (pow lambda2 2/3) (+ (* 2/3 (* (pow (/ 1 lambda2) 1/3) lambda1)) (* 1/9 (* (pow (/ 1 (pow lambda2 4)) 1/3) (pow lambda1 2))))) 91.965 * [backup-simplify]: Simplify (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) 91.965 * [approximate]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in (lambda1 lambda2 phi1 phi2) around 0 91.965 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in phi2 91.965 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in phi2 91.965 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in phi2 91.965 * [taylor]: Taking taylor expansion of 1/3 in phi2 91.965 * [backup-simplify]: Simplify 1/3 into 1/3 91.965 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in phi2 91.965 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in phi2 91.965 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 91.965 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 91.965 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 91.965 * [taylor]: Taking taylor expansion of 1/2 in phi2 91.965 * [backup-simplify]: Simplify 1/2 into 1/2 91.965 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 91.965 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 91.965 * [taylor]: Taking taylor expansion of phi1 in phi2 91.965 * [backup-simplify]: Simplify phi1 into phi1 91.965 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.965 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 91.965 * [taylor]: Taking taylor expansion of phi2 in phi2 91.965 * [backup-simplify]: Simplify 0 into 0 91.965 * [backup-simplify]: Simplify 1 into 1 91.966 * [backup-simplify]: Simplify (/ 1 1) into 1 91.966 * [backup-simplify]: Simplify (+ 0 1) into 1 91.967 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 91.967 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.967 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in phi2 91.967 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 91.967 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 91.967 * [taylor]: Taking taylor expansion of lambda1 in phi2 91.967 * [backup-simplify]: Simplify lambda1 into lambda1 91.967 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 91.967 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 91.967 * [taylor]: Taking taylor expansion of lambda2 in phi2 91.967 * [backup-simplify]: Simplify lambda2 into lambda2 91.967 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 91.967 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 91.967 * [backup-simplify]: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) 91.968 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.968 * [backup-simplify]: Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (- (/ 1 lambda1) (/ 1 lambda2))) into (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) 91.968 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 91.968 * [backup-simplify]: Simplify (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) into (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) 91.969 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) 91.969 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) 91.969 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in phi1 91.969 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in phi1 91.969 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in phi1 91.969 * [taylor]: Taking taylor expansion of 1/3 in phi1 91.969 * [backup-simplify]: Simplify 1/3 into 1/3 91.969 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in phi1 91.969 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in phi1 91.969 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 91.969 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 91.970 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 91.970 * [taylor]: Taking taylor expansion of 1/2 in phi1 91.970 * [backup-simplify]: Simplify 1/2 into 1/2 91.970 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 91.970 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 91.970 * [taylor]: Taking taylor expansion of phi1 in phi1 91.970 * [backup-simplify]: Simplify 0 into 0 91.970 * [backup-simplify]: Simplify 1 into 1 91.970 * [backup-simplify]: Simplify (/ 1 1) into 1 91.970 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 91.970 * [taylor]: Taking taylor expansion of phi2 in phi1 91.970 * [backup-simplify]: Simplify phi2 into phi2 91.970 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.971 * [backup-simplify]: Simplify (+ 1 0) into 1 91.971 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 91.971 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.971 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in phi1 91.971 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 91.971 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 91.971 * [taylor]: Taking taylor expansion of lambda1 in phi1 91.971 * [backup-simplify]: Simplify lambda1 into lambda1 91.971 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 91.972 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 91.972 * [taylor]: Taking taylor expansion of lambda2 in phi1 91.972 * [backup-simplify]: Simplify lambda2 into lambda2 91.972 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 91.972 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 91.972 * [backup-simplify]: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) 91.972 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.972 * [backup-simplify]: Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (- (/ 1 lambda1) (/ 1 lambda2))) into (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) 91.973 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 91.973 * [backup-simplify]: Simplify (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) into (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) 91.973 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) 91.974 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) 91.974 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in lambda2 91.974 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in lambda2 91.974 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in lambda2 91.974 * [taylor]: Taking taylor expansion of 1/3 in lambda2 91.974 * [backup-simplify]: Simplify 1/3 into 1/3 91.974 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in lambda2 91.974 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda2 91.974 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 91.974 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 91.974 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 91.974 * [taylor]: Taking taylor expansion of 1/2 in lambda2 91.974 * [backup-simplify]: Simplify 1/2 into 1/2 91.974 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 91.974 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 91.974 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.974 * [backup-simplify]: Simplify phi1 into phi1 91.974 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.974 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 91.974 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.974 * [backup-simplify]: Simplify phi2 into phi2 91.974 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.975 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 91.975 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 91.975 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.975 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.975 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.975 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 91.976 * [backup-simplify]: Simplify (- 0) into 0 91.976 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.976 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in lambda2 91.976 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 91.976 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 91.976 * [taylor]: Taking taylor expansion of lambda1 in lambda2 91.976 * [backup-simplify]: Simplify lambda1 into lambda1 91.976 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 91.976 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 91.976 * [taylor]: Taking taylor expansion of lambda2 in lambda2 91.976 * [backup-simplify]: Simplify 0 into 0 91.976 * [backup-simplify]: Simplify 1 into 1 91.977 * [backup-simplify]: Simplify (/ 1 1) into 1 91.977 * [backup-simplify]: Simplify (- 1) into -1 91.977 * [backup-simplify]: Simplify (+ 0 -1) into -1 91.978 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.980 * [backup-simplify]: Simplify (* -1 -1) into 1 91.980 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.980 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 91.981 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))) 91.981 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) 91.982 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 91.982 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in lambda1 91.982 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in lambda1 91.982 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in lambda1 91.982 * [taylor]: Taking taylor expansion of 1/3 in lambda1 91.982 * [backup-simplify]: Simplify 1/3 into 1/3 91.982 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in lambda1 91.982 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1 91.982 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 91.982 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 91.982 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 91.982 * [taylor]: Taking taylor expansion of 1/2 in lambda1 91.982 * [backup-simplify]: Simplify 1/2 into 1/2 91.982 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 91.982 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 91.982 * [taylor]: Taking taylor expansion of phi1 in lambda1 91.982 * [backup-simplify]: Simplify phi1 into phi1 91.982 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.982 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 91.982 * [taylor]: Taking taylor expansion of phi2 in lambda1 91.982 * [backup-simplify]: Simplify phi2 into phi2 91.982 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.982 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 91.982 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 91.983 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.983 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.983 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.983 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 91.984 * [backup-simplify]: Simplify (- 0) into 0 91.984 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.984 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in lambda1 91.984 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 91.984 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 91.984 * [taylor]: Taking taylor expansion of lambda1 in lambda1 91.984 * [backup-simplify]: Simplify 0 into 0 91.984 * [backup-simplify]: Simplify 1 into 1 91.984 * [backup-simplify]: Simplify (/ 1 1) into 1 91.985 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 91.985 * [taylor]: Taking taylor expansion of lambda2 in lambda1 91.985 * [backup-simplify]: Simplify lambda2 into lambda2 91.985 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 91.985 * [backup-simplify]: Simplify (+ 1 0) into 1 91.985 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.986 * [backup-simplify]: Simplify (* 1 1) into 1 91.986 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.986 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 91.987 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 91.987 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 91.987 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 91.987 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in lambda1 91.987 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in lambda1 91.987 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in lambda1 91.987 * [taylor]: Taking taylor expansion of 1/3 in lambda1 91.987 * [backup-simplify]: Simplify 1/3 into 1/3 91.987 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in lambda1 91.988 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1 91.988 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 91.988 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 91.988 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 91.988 * [taylor]: Taking taylor expansion of 1/2 in lambda1 91.988 * [backup-simplify]: Simplify 1/2 into 1/2 91.988 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 91.988 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 91.988 * [taylor]: Taking taylor expansion of phi1 in lambda1 91.988 * [backup-simplify]: Simplify phi1 into phi1 91.988 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.988 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 91.988 * [taylor]: Taking taylor expansion of phi2 in lambda1 91.988 * [backup-simplify]: Simplify phi2 into phi2 91.988 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.988 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 91.988 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 91.988 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.988 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.989 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.989 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 91.989 * [backup-simplify]: Simplify (- 0) into 0 91.989 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.989 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in lambda1 91.989 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 91.990 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 91.990 * [taylor]: Taking taylor expansion of lambda1 in lambda1 91.990 * [backup-simplify]: Simplify 0 into 0 91.990 * [backup-simplify]: Simplify 1 into 1 91.990 * [backup-simplify]: Simplify (/ 1 1) into 1 91.990 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 91.990 * [taylor]: Taking taylor expansion of lambda2 in lambda1 91.990 * [backup-simplify]: Simplify lambda2 into lambda2 91.990 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 91.991 * [backup-simplify]: Simplify (+ 1 0) into 1 91.991 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.991 * [backup-simplify]: Simplify (* 1 1) into 1 91.991 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.992 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 91.992 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 91.992 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 91.993 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 91.993 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 91.993 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 91.993 * [taylor]: Taking taylor expansion of 1/3 in lambda2 91.993 * [backup-simplify]: Simplify 1/3 into 1/3 91.993 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 91.993 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 91.993 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 91.993 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 91.993 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 91.993 * [taylor]: Taking taylor expansion of 1/2 in lambda2 91.993 * [backup-simplify]: Simplify 1/2 into 1/2 91.993 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 91.993 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 91.993 * [taylor]: Taking taylor expansion of phi1 in lambda2 91.993 * [backup-simplify]: Simplify phi1 into phi1 91.993 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 91.993 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 91.993 * [taylor]: Taking taylor expansion of phi2 in lambda2 91.993 * [backup-simplify]: Simplify phi2 into phi2 91.993 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.994 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 91.994 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 91.994 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.994 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.994 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.994 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 91.995 * [backup-simplify]: Simplify (- 0) into 0 91.995 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.995 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.995 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 91.995 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 91.995 * [taylor]: Taking taylor expansion of 2 in lambda2 91.996 * [backup-simplify]: Simplify 2 into 2 91.996 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 91.996 * [taylor]: Taking taylor expansion of lambda1 in lambda2 91.996 * [backup-simplify]: Simplify lambda1 into lambda1 91.996 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 91.996 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 91.996 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 91.996 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 91.996 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 91.997 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 91.997 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1 91.997 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1 91.997 * [taylor]: Taking taylor expansion of 1/3 in phi1 91.997 * [backup-simplify]: Simplify 1/3 into 1/3 91.997 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1 91.997 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 91.997 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 91.997 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 91.997 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 91.997 * [taylor]: Taking taylor expansion of 1/2 in phi1 91.997 * [backup-simplify]: Simplify 1/2 into 1/2 91.997 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 91.997 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 91.997 * [taylor]: Taking taylor expansion of phi1 in phi1 91.997 * [backup-simplify]: Simplify 0 into 0 91.997 * [backup-simplify]: Simplify 1 into 1 91.998 * [backup-simplify]: Simplify (/ 1 1) into 1 91.998 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 91.998 * [taylor]: Taking taylor expansion of phi2 in phi1 91.998 * [backup-simplify]: Simplify phi2 into phi2 91.998 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 91.998 * [backup-simplify]: Simplify (+ 1 0) into 1 91.999 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 91.999 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 91.999 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 91.999 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 91.999 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi1 92.000 * [taylor]: Taking taylor expansion of 2 in phi1 92.000 * [backup-simplify]: Simplify 2 into 2 92.000 * [taylor]: Taking taylor expansion of (log lambda1) in phi1 92.000 * [taylor]: Taking taylor expansion of lambda1 in phi1 92.000 * [backup-simplify]: Simplify lambda1 into lambda1 92.000 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 92.000 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 92.000 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 92.000 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 92.000 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 92.001 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 92.001 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi2 92.001 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi2 92.001 * [taylor]: Taking taylor expansion of 1/3 in phi2 92.001 * [backup-simplify]: Simplify 1/3 into 1/3 92.001 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi2 92.001 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2 92.001 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 92.001 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 92.001 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 92.001 * [taylor]: Taking taylor expansion of 1/2 in phi2 92.001 * [backup-simplify]: Simplify 1/2 into 1/2 92.001 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 92.001 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 92.001 * [taylor]: Taking taylor expansion of phi1 in phi2 92.001 * [backup-simplify]: Simplify phi1 into phi1 92.001 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 92.001 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 92.001 * [taylor]: Taking taylor expansion of phi2 in phi2 92.001 * [backup-simplify]: Simplify 0 into 0 92.001 * [backup-simplify]: Simplify 1 into 1 92.002 * [backup-simplify]: Simplify (/ 1 1) into 1 92.002 * [backup-simplify]: Simplify (+ 0 1) into 1 92.003 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 92.003 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.003 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 92.003 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 92.003 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi2 92.003 * [taylor]: Taking taylor expansion of 2 in phi2 92.003 * [backup-simplify]: Simplify 2 into 2 92.003 * [taylor]: Taking taylor expansion of (log lambda1) in phi2 92.003 * [taylor]: Taking taylor expansion of lambda1 in phi2 92.003 * [backup-simplify]: Simplify lambda1 into lambda1 92.003 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 92.003 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 92.004 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 92.004 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 92.004 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 92.004 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 92.005 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 92.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 92.006 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 92.006 * [backup-simplify]: Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2)) 92.006 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 lambda2))) (* (- (/ 1 lambda2)) 1)) into (- (* 2 (/ 1 lambda2))) 92.006 * [backup-simplify]: Simplify (+ 0) into 0 92.007 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 92.007 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 92.007 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 92.008 * [backup-simplify]: Simplify (+ 0 0) into 0 92.008 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 92.009 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 92.009 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 92.010 * [backup-simplify]: Simplify (- 0) into 0 92.010 * [backup-simplify]: Simplify (+ 0 0) into 0 92.010 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 92.011 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (- (* 2 (/ 1 lambda2)))) (* 0 1)) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 92.012 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into (/ -2 lambda2) 92.012 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 92.013 * [backup-simplify]: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2))) 92.013 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) 92.013 * [taylor]: Taking taylor expansion of (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) in lambda2 92.013 * [taylor]: Taking taylor expansion of -2/3 in lambda2 92.013 * [backup-simplify]: Simplify -2/3 into -2/3 92.013 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2) in lambda2 92.013 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 92.013 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 92.013 * [taylor]: Taking taylor expansion of 1/3 in lambda2 92.013 * [backup-simplify]: Simplify 1/3 into 1/3 92.013 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 92.013 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 92.013 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 92.013 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 92.014 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 92.014 * [taylor]: Taking taylor expansion of 1/2 in lambda2 92.014 * [backup-simplify]: Simplify 1/2 into 1/2 92.014 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 92.014 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 92.014 * [taylor]: Taking taylor expansion of phi1 in lambda2 92.014 * [backup-simplify]: Simplify phi1 into phi1 92.014 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 92.014 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 92.014 * [taylor]: Taking taylor expansion of phi2 in lambda2 92.014 * [backup-simplify]: Simplify phi2 into phi2 92.014 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 92.014 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 92.014 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 92.014 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.014 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.015 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.015 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 92.015 * [backup-simplify]: Simplify (- 0) into 0 92.015 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.016 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 92.016 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 92.016 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 92.016 * [taylor]: Taking taylor expansion of 2 in lambda2 92.016 * [backup-simplify]: Simplify 2 into 2 92.016 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 92.016 * [taylor]: Taking taylor expansion of lambda1 in lambda2 92.016 * [backup-simplify]: Simplify lambda1 into lambda1 92.016 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 92.016 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 92.016 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 92.017 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 92.017 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 92.017 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 92.017 * [taylor]: Taking taylor expansion of lambda2 in lambda2 92.017 * [backup-simplify]: Simplify 0 into 0 92.017 * [backup-simplify]: Simplify 1 into 1 92.018 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 92.018 * [backup-simplify]: Simplify (+ 0) into 0 92.019 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 92.019 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 92.019 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 92.019 * [backup-simplify]: Simplify (+ 0 0) into 0 92.020 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 92.021 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 92.021 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 92.021 * [backup-simplify]: Simplify (- 0) into 0 92.022 * [backup-simplify]: Simplify (+ 0 0) into 0 92.022 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 92.023 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 92.024 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 92.024 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 92.025 * [backup-simplify]: Simplify (- 0) into 0 92.025 * [backup-simplify]: Simplify (+ 0 0) into 0 92.026 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 92.027 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 92.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 92.029 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))))) into 0 92.029 * [taylor]: Taking taylor expansion of 0 in phi1 92.029 * [backup-simplify]: Simplify 0 into 0 92.029 * [taylor]: Taking taylor expansion of 0 in phi2 92.029 * [backup-simplify]: Simplify 0 into 0 92.029 * [backup-simplify]: Simplify 0 into 0 92.029 * [backup-simplify]: Simplify (+ 0) into 0 92.030 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 92.030 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 92.030 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 92.031 * [backup-simplify]: Simplify (+ 0 0) into 0 92.031 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 92.032 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 92.032 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 92.033 * [backup-simplify]: Simplify (- 0) into 0 92.033 * [backup-simplify]: Simplify (+ 0 0) into 0 92.033 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 92.034 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 92.034 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 92.035 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 92.035 * [backup-simplify]: Simplify (- 0) into 0 92.035 * [backup-simplify]: Simplify (+ 0 0) into 0 92.035 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 92.036 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 92.036 * [taylor]: Taking taylor expansion of 0 in phi1 92.036 * [backup-simplify]: Simplify 0 into 0 92.036 * [taylor]: Taking taylor expansion of 0 in phi2 92.036 * [backup-simplify]: Simplify 0 into 0 92.036 * [backup-simplify]: Simplify 0 into 0 92.036 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 92.037 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 92.037 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 92.038 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 92.038 * [backup-simplify]: Simplify (- 0) into 0 92.038 * [backup-simplify]: Simplify (+ 0 0) into 0 92.039 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 92.039 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 92.039 * [taylor]: Taking taylor expansion of 0 in phi2 92.039 * [backup-simplify]: Simplify 0 into 0 92.039 * [backup-simplify]: Simplify 0 into 0 92.040 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 92.040 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 92.041 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 92.041 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 92.041 * [backup-simplify]: Simplify (- 0) into 0 92.041 * [backup-simplify]: Simplify (+ 0 0) into 0 92.042 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 92.042 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 92.042 * [backup-simplify]: Simplify 0 into 0 92.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 92.043 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 92.043 * [backup-simplify]: Simplify (- 0) into 0 92.044 * [backup-simplify]: Simplify (+ 0 0) into 0 92.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 lambda2)) (- (/ 1 lambda2))) (* 0 1))) into (/ 1 (pow lambda2 2)) 92.045 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 92.045 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 92.045 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 92.045 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 92.046 * [backup-simplify]: Simplify (+ 0 0) into 0 92.046 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 92.047 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 92.047 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 92.047 * [backup-simplify]: Simplify (- 0) into 0 92.047 * [backup-simplify]: Simplify (+ 0 0) into 0 92.048 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 92.048 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 1 (pow lambda2 2))) (+ (* 0 (- (* 2 (/ 1 lambda2)))) (* 0 1))) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 92.049 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into (/ -1 (pow lambda2 2)) 92.049 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 92.050 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into (- (* 1/3 (/ 1 (pow lambda2 2)))) 92.050 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow lambda2 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) 92.050 * [taylor]: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) in lambda2 92.050 * [taylor]: Taking taylor expansion of -1/9 in lambda2 92.050 * [backup-simplify]: Simplify -1/9 into -1/9 92.050 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)) in lambda2 92.050 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 92.050 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 92.050 * [taylor]: Taking taylor expansion of 1/3 in lambda2 92.050 * [backup-simplify]: Simplify 1/3 into 1/3 92.050 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 92.050 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 92.050 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 92.050 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 92.050 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 92.050 * [taylor]: Taking taylor expansion of 1/2 in lambda2 92.050 * [backup-simplify]: Simplify 1/2 into 1/2 92.050 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 92.050 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 92.050 * [taylor]: Taking taylor expansion of phi1 in lambda2 92.050 * [backup-simplify]: Simplify phi1 into phi1 92.051 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 92.051 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 92.051 * [taylor]: Taking taylor expansion of phi2 in lambda2 92.051 * [backup-simplify]: Simplify phi2 into phi2 92.051 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 92.051 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 92.051 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 92.051 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.051 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.051 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.051 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 92.051 * [backup-simplify]: Simplify (- 0) into 0 92.051 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.052 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 92.052 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 92.052 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 92.052 * [taylor]: Taking taylor expansion of 2 in lambda2 92.052 * [backup-simplify]: Simplify 2 into 2 92.052 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 92.052 * [taylor]: Taking taylor expansion of lambda1 in lambda2 92.052 * [backup-simplify]: Simplify lambda1 into lambda1 92.052 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 92.052 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 92.052 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 92.052 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 92.052 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 92.052 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 92.052 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 92.052 * [taylor]: Taking taylor expansion of lambda2 in lambda2 92.052 * [backup-simplify]: Simplify 0 into 0 92.052 * [backup-simplify]: Simplify 1 into 1 92.053 * [backup-simplify]: Simplify (* 1 1) into 1 92.053 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 92.053 * [backup-simplify]: Simplify (+ 0) into 0 92.054 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 92.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 92.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 92.054 * [backup-simplify]: Simplify (+ 0 0) into 0 92.054 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 92.055 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 92.055 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 92.055 * [backup-simplify]: Simplify (- 0) into 0 92.056 * [backup-simplify]: Simplify (+ 0 0) into 0 92.056 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 92.056 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 92.057 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 92.057 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 92.057 * [backup-simplify]: Simplify (- 0) into 0 92.057 * [backup-simplify]: Simplify (+ 0 0) into 0 92.058 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 92.058 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 92.059 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 92.059 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 92.059 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 92.059 * [backup-simplify]: Simplify (+ 0 0) into 0 92.060 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 92.060 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 92.061 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 92.061 * [backup-simplify]: Simplify (- 0) into 0 92.061 * [backup-simplify]: Simplify (+ 0 0) into 0 92.062 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 92.063 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 92.064 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 92.065 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 92.066 * [backup-simplify]: Simplify (- 0) into 0 92.066 * [backup-simplify]: Simplify (+ 0 0) into 0 92.067 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 92.069 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 92.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 92.070 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 92.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 92.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 92.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 92.075 * [backup-simplify]: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0 92.075 * [taylor]: Taking taylor expansion of 0 in phi1 92.075 * [backup-simplify]: Simplify 0 into 0 92.075 * [taylor]: Taking taylor expansion of 0 in phi2 92.075 * [backup-simplify]: Simplify 0 into 0 92.075 * [backup-simplify]: Simplify 0 into 0 92.076 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 92.077 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 92.077 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 92.077 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 92.077 * [backup-simplify]: Simplify (+ 0 0) into 0 92.078 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 92.079 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 92.079 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 92.080 * [backup-simplify]: Simplify (- 0) into 0 92.080 * [backup-simplify]: Simplify (+ 0 0) into 0 92.081 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 92.082 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 92.084 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 92.085 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 92.085 * [backup-simplify]: Simplify (- 0) into 0 92.086 * [backup-simplify]: Simplify (+ 0 0) into 0 92.086 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 92.088 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 92.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 92.090 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0 92.090 * [taylor]: Taking taylor expansion of 0 in phi1 92.090 * [backup-simplify]: Simplify 0 into 0 92.090 * [taylor]: Taking taylor expansion of 0 in phi2 92.090 * [backup-simplify]: Simplify 0 into 0 92.090 * [backup-simplify]: Simplify 0 into 0 92.090 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) 2)) (* 2 (log (/ 1 lambda1)))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log (/ 1 lambda1)))))) 92.090 * [backup-simplify]: Simplify (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) 92.090 * [approximate]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in (lambda1 lambda2 phi1 phi2) around 0 92.090 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in phi2 92.090 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in phi2 92.090 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in phi2 92.090 * [taylor]: Taking taylor expansion of 1/3 in phi2 92.090 * [backup-simplify]: Simplify 1/3 into 1/3 92.090 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in phi2 92.090 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in phi2 92.091 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 92.091 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 92.091 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 92.091 * [taylor]: Taking taylor expansion of -1/2 in phi2 92.091 * [backup-simplify]: Simplify -1/2 into -1/2 92.091 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 92.091 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 92.091 * [taylor]: Taking taylor expansion of phi1 in phi2 92.091 * [backup-simplify]: Simplify phi1 into phi1 92.091 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 92.091 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 92.091 * [taylor]: Taking taylor expansion of phi2 in phi2 92.091 * [backup-simplify]: Simplify 0 into 0 92.091 * [backup-simplify]: Simplify 1 into 1 92.091 * [backup-simplify]: Simplify (/ 1 1) into 1 92.091 * [backup-simplify]: Simplify (+ 0 1) into 1 92.092 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 92.092 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.092 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in phi2 92.092 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi2 92.092 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 92.092 * [taylor]: Taking taylor expansion of lambda2 in phi2 92.092 * [backup-simplify]: Simplify lambda2 into lambda2 92.092 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 92.092 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 92.092 * [taylor]: Taking taylor expansion of lambda1 in phi2 92.092 * [backup-simplify]: Simplify lambda1 into lambda1 92.092 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 92.092 * [backup-simplify]: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1)) 92.092 * [backup-simplify]: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1)) 92.092 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 92.092 * [backup-simplify]: Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (- (/ 1 lambda2) (/ 1 lambda1))) into (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) 92.093 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 92.093 * [backup-simplify]: Simplify (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) 92.093 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) into (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) 92.093 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) 92.093 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in phi1 92.093 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in phi1 92.093 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in phi1 92.093 * [taylor]: Taking taylor expansion of 1/3 in phi1 92.093 * [backup-simplify]: Simplify 1/3 into 1/3 92.093 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in phi1 92.093 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in phi1 92.093 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 92.093 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 92.093 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 92.093 * [taylor]: Taking taylor expansion of -1/2 in phi1 92.093 * [backup-simplify]: Simplify -1/2 into -1/2 92.093 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 92.093 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 92.093 * [taylor]: Taking taylor expansion of phi1 in phi1 92.093 * [backup-simplify]: Simplify 0 into 0 92.093 * [backup-simplify]: Simplify 1 into 1 92.094 * [backup-simplify]: Simplify (/ 1 1) into 1 92.094 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 92.094 * [taylor]: Taking taylor expansion of phi2 in phi1 92.094 * [backup-simplify]: Simplify phi2 into phi2 92.094 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 92.094 * [backup-simplify]: Simplify (+ 1 0) into 1 92.094 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 92.094 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.094 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in phi1 92.094 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi1 92.095 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 92.095 * [taylor]: Taking taylor expansion of lambda2 in phi1 92.095 * [backup-simplify]: Simplify lambda2 into lambda2 92.095 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 92.095 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 92.095 * [taylor]: Taking taylor expansion of lambda1 in phi1 92.095 * [backup-simplify]: Simplify lambda1 into lambda1 92.095 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 92.095 * [backup-simplify]: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1)) 92.095 * [backup-simplify]: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1)) 92.095 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 92.095 * [backup-simplify]: Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (- (/ 1 lambda2) (/ 1 lambda1))) into (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) 92.095 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 92.095 * [backup-simplify]: Simplify (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) 92.096 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) into (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) 92.096 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) 92.096 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in lambda2 92.096 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in lambda2 92.096 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in lambda2 92.096 * [taylor]: Taking taylor expansion of 1/3 in lambda2 92.096 * [backup-simplify]: Simplify 1/3 into 1/3 92.096 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in lambda2 92.096 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in lambda2 92.096 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 92.096 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 92.096 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 92.096 * [taylor]: Taking taylor expansion of -1/2 in lambda2 92.096 * [backup-simplify]: Simplify -1/2 into -1/2 92.096 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 92.096 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 92.096 * [taylor]: Taking taylor expansion of phi1 in lambda2 92.096 * [backup-simplify]: Simplify phi1 into phi1 92.096 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 92.096 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 92.096 * [taylor]: Taking taylor expansion of phi2 in lambda2 92.096 * [backup-simplify]: Simplify phi2 into phi2 92.096 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 92.096 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 92.096 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 92.096 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.097 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.097 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.097 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 92.099 * [backup-simplify]: Simplify (- 0) into 0 92.099 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.099 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in lambda2 92.099 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 92.099 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 92.099 * [taylor]: Taking taylor expansion of lambda2 in lambda2 92.099 * [backup-simplify]: Simplify 0 into 0 92.099 * [backup-simplify]: Simplify 1 into 1 92.101 * [backup-simplify]: Simplify (/ 1 1) into 1 92.101 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 92.101 * [taylor]: Taking taylor expansion of lambda1 in lambda2 92.101 * [backup-simplify]: Simplify lambda1 into lambda1 92.101 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 92.101 * [backup-simplify]: Simplify (+ 1 0) into 1 92.102 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 92.102 * [backup-simplify]: Simplify (* 1 1) into 1 92.102 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 92.102 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 92.103 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))) 92.103 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) 92.103 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 92.103 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in lambda1 92.103 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in lambda1 92.103 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in lambda1 92.103 * [taylor]: Taking taylor expansion of 1/3 in lambda1 92.103 * [backup-simplify]: Simplify 1/3 into 1/3 92.103 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in lambda1 92.103 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in lambda1 92.103 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 92.103 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 92.103 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 92.103 * [taylor]: Taking taylor expansion of -1/2 in lambda1 92.103 * [backup-simplify]: Simplify -1/2 into -1/2 92.103 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 92.103 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 92.103 * [taylor]: Taking taylor expansion of phi1 in lambda1 92.103 * [backup-simplify]: Simplify phi1 into phi1 92.103 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 92.103 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 92.103 * [taylor]: Taking taylor expansion of phi2 in lambda1 92.103 * [backup-simplify]: Simplify phi2 into phi2 92.103 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 92.103 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 92.103 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 92.104 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.104 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.104 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.104 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 92.104 * [backup-simplify]: Simplify (- 0) into 0 92.104 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.104 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in lambda1 92.104 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 92.104 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 92.104 * [taylor]: Taking taylor expansion of lambda2 in lambda1 92.104 * [backup-simplify]: Simplify lambda2 into lambda2 92.104 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 92.104 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 92.104 * [taylor]: Taking taylor expansion of lambda1 in lambda1 92.104 * [backup-simplify]: Simplify 0 into 0 92.104 * [backup-simplify]: Simplify 1 into 1 92.105 * [backup-simplify]: Simplify (/ 1 1) into 1 92.105 * [backup-simplify]: Simplify (- 1) into -1 92.105 * [backup-simplify]: Simplify (+ 0 -1) into -1 92.105 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 92.106 * [backup-simplify]: Simplify (* -1 -1) into 1 92.106 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 92.106 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 92.106 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 92.106 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 92.107 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 92.107 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in lambda1 92.107 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in lambda1 92.107 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in lambda1 92.107 * [taylor]: Taking taylor expansion of 1/3 in lambda1 92.107 * [backup-simplify]: Simplify 1/3 into 1/3 92.107 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in lambda1 92.107 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in lambda1 92.107 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 92.107 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 92.107 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 92.107 * [taylor]: Taking taylor expansion of -1/2 in lambda1 92.107 * [backup-simplify]: Simplify -1/2 into -1/2 92.107 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 92.107 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 92.107 * [taylor]: Taking taylor expansion of phi1 in lambda1 92.107 * [backup-simplify]: Simplify phi1 into phi1 92.107 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 92.107 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 92.107 * [taylor]: Taking taylor expansion of phi2 in lambda1 92.107 * [backup-simplify]: Simplify phi2 into phi2 92.107 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 92.107 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 92.107 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 92.107 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.107 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.107 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.107 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 92.108 * [backup-simplify]: Simplify (- 0) into 0 92.108 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.108 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in lambda1 92.108 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 92.108 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 92.108 * [taylor]: Taking taylor expansion of lambda2 in lambda1 92.108 * [backup-simplify]: Simplify lambda2 into lambda2 92.108 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 92.108 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 92.108 * [taylor]: Taking taylor expansion of lambda1 in lambda1 92.108 * [backup-simplify]: Simplify 0 into 0 92.108 * [backup-simplify]: Simplify 1 into 1 92.108 * [backup-simplify]: Simplify (/ 1 1) into 1 92.108 * [backup-simplify]: Simplify (- 1) into -1 92.109 * [backup-simplify]: Simplify (+ 0 -1) into -1 92.109 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 92.109 * [backup-simplify]: Simplify (* -1 -1) into 1 92.110 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 92.110 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 92.110 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 92.111 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 92.111 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 92.111 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 92.111 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 92.111 * [taylor]: Taking taylor expansion of 1/3 in lambda2 92.111 * [backup-simplify]: Simplify 1/3 into 1/3 92.111 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 92.111 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 92.111 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 92.111 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 92.111 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 92.111 * [taylor]: Taking taylor expansion of -1/2 in lambda2 92.111 * [backup-simplify]: Simplify -1/2 into -1/2 92.112 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 92.112 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 92.112 * [taylor]: Taking taylor expansion of phi1 in lambda2 92.112 * [backup-simplify]: Simplify phi1 into phi1 92.112 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 92.112 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 92.112 * [taylor]: Taking taylor expansion of phi2 in lambda2 92.112 * [backup-simplify]: Simplify phi2 into phi2 92.112 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 92.112 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 92.112 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 92.112 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.112 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.112 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.113 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 92.113 * [backup-simplify]: Simplify (- 0) into 0 92.113 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.113 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 92.114 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 92.114 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 92.114 * [taylor]: Taking taylor expansion of 2 in lambda2 92.114 * [backup-simplify]: Simplify 2 into 2 92.114 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 92.114 * [taylor]: Taking taylor expansion of lambda1 in lambda2 92.114 * [backup-simplify]: Simplify lambda1 into lambda1 92.114 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 92.114 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 92.114 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 92.114 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 92.115 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 92.115 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 92.115 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1 92.115 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1 92.115 * [taylor]: Taking taylor expansion of 1/3 in phi1 92.115 * [backup-simplify]: Simplify 1/3 into 1/3 92.115 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1 92.115 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 92.115 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 92.115 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 92.115 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 92.115 * [taylor]: Taking taylor expansion of -1/2 in phi1 92.115 * [backup-simplify]: Simplify -1/2 into -1/2 92.115 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 92.115 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 92.115 * [taylor]: Taking taylor expansion of phi1 in phi1 92.115 * [backup-simplify]: Simplify 0 into 0 92.115 * [backup-simplify]: Simplify 1 into 1 92.116 * [backup-simplify]: Simplify (/ 1 1) into 1 92.116 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 92.116 * [taylor]: Taking taylor expansion of phi2 in phi1 92.116 * [backup-simplify]: Simplify phi2 into phi2 92.116 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 92.116 * [backup-simplify]: Simplify (+ 1 0) into 1 92.117 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 92.117 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.117 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 92.117 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 92.118 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi1 92.118 * [taylor]: Taking taylor expansion of 2 in phi1 92.118 * [backup-simplify]: Simplify 2 into 2 92.118 * [taylor]: Taking taylor expansion of (log lambda1) in phi1 92.118 * [taylor]: Taking taylor expansion of lambda1 in phi1 92.118 * [backup-simplify]: Simplify lambda1 into lambda1 92.118 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 92.118 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 92.118 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 92.118 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 92.118 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 92.119 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 92.119 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi2 92.119 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi2 92.119 * [taylor]: Taking taylor expansion of 1/3 in phi2 92.119 * [backup-simplify]: Simplify 1/3 into 1/3 92.119 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi2 92.119 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2 92.119 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 92.119 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 92.119 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 92.119 * [taylor]: Taking taylor expansion of -1/2 in phi2 92.119 * [backup-simplify]: Simplify -1/2 into -1/2 92.119 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 92.119 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 92.119 * [taylor]: Taking taylor expansion of phi1 in phi2 92.119 * [backup-simplify]: Simplify phi1 into phi1 92.119 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 92.119 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 92.119 * [taylor]: Taking taylor expansion of phi2 in phi2 92.119 * [backup-simplify]: Simplify 0 into 0 92.119 * [backup-simplify]: Simplify 1 into 1 92.120 * [backup-simplify]: Simplify (/ 1 1) into 1 92.120 * [backup-simplify]: Simplify (+ 0 1) into 1 92.121 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 92.121 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.121 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 92.121 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 92.121 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi2 92.121 * [taylor]: Taking taylor expansion of 2 in phi2 92.121 * [backup-simplify]: Simplify 2 into 2 92.121 * [taylor]: Taking taylor expansion of (log lambda1) in phi2 92.121 * [taylor]: Taking taylor expansion of lambda1 in phi2 92.121 * [backup-simplify]: Simplify lambda1 into lambda1 92.121 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 92.121 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 92.122 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 92.122 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 92.122 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 92.122 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 92.123 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 92.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 92.124 * [backup-simplify]: Simplify (- 0) into 0 92.124 * [backup-simplify]: Simplify (+ (/ 1 lambda2) 0) into (/ 1 lambda2) 92.124 * [backup-simplify]: Simplify (+ (* -1 (/ 1 lambda2)) (* (/ 1 lambda2) -1)) into (- (* 2 (/ 1 lambda2))) 92.125 * [backup-simplify]: Simplify (+ 0) into 0 92.125 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 92.125 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 92.125 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 92.126 * [backup-simplify]: Simplify (+ 0 0) into 0 92.126 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 92.127 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 92.128 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 92.128 * [backup-simplify]: Simplify (- 0) into 0 92.128 * [backup-simplify]: Simplify (+ 0 0) into 0 92.129 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 92.129 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (- (* 2 (/ 1 lambda2)))) (* 0 1)) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 92.130 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into (/ -2 lambda2) 92.131 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 92.131 * [backup-simplify]: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2))) 92.131 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) 92.132 * [taylor]: Taking taylor expansion of (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) in lambda2 92.132 * [taylor]: Taking taylor expansion of -2/3 in lambda2 92.132 * [backup-simplify]: Simplify -2/3 into -2/3 92.132 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2) in lambda2 92.132 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 92.132 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 92.132 * [taylor]: Taking taylor expansion of 1/3 in lambda2 92.132 * [backup-simplify]: Simplify 1/3 into 1/3 92.132 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 92.132 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 92.132 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 92.132 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 92.132 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 92.132 * [taylor]: Taking taylor expansion of -1/2 in lambda2 92.132 * [backup-simplify]: Simplify -1/2 into -1/2 92.132 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 92.132 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 92.132 * [taylor]: Taking taylor expansion of phi1 in lambda2 92.132 * [backup-simplify]: Simplify phi1 into phi1 92.132 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 92.132 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 92.132 * [taylor]: Taking taylor expansion of phi2 in lambda2 92.132 * [backup-simplify]: Simplify phi2 into phi2 92.132 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 92.132 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 92.133 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 92.133 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.133 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.133 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.133 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 92.134 * [backup-simplify]: Simplify (- 0) into 0 92.134 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.134 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 92.134 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 92.134 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 92.134 * [taylor]: Taking taylor expansion of 2 in lambda2 92.134 * [backup-simplify]: Simplify 2 into 2 92.134 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 92.134 * [taylor]: Taking taylor expansion of lambda1 in lambda2 92.134 * [backup-simplify]: Simplify lambda1 into lambda1 92.134 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 92.134 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 92.135 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 92.135 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 92.135 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 92.135 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 92.135 * [taylor]: Taking taylor expansion of lambda2 in lambda2 92.135 * [backup-simplify]: Simplify 0 into 0 92.135 * [backup-simplify]: Simplify 1 into 1 92.136 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 92.136 * [backup-simplify]: Simplify (+ 0) into 0 92.137 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 92.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 92.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 92.137 * [backup-simplify]: Simplify (+ 0 0) into 0 92.138 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 92.139 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 92.139 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 92.140 * [backup-simplify]: Simplify (- 0) into 0 92.140 * [backup-simplify]: Simplify (+ 0 0) into 0 92.140 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 92.141 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 92.142 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 92.142 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 92.143 * [backup-simplify]: Simplify (- 0) into 0 92.143 * [backup-simplify]: Simplify (+ 0 0) into 0 92.144 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 92.145 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 92.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 92.147 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))))) into 0 92.147 * [taylor]: Taking taylor expansion of 0 in phi1 92.147 * [backup-simplify]: Simplify 0 into 0 92.147 * [taylor]: Taking taylor expansion of 0 in phi2 92.147 * [backup-simplify]: Simplify 0 into 0 92.147 * [backup-simplify]: Simplify 0 into 0 92.147 * [backup-simplify]: Simplify (+ 0) into 0 92.148 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 92.148 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 92.148 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 92.149 * [backup-simplify]: Simplify (+ 0 0) into 0 92.149 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 92.150 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 92.150 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 92.151 * [backup-simplify]: Simplify (- 0) into 0 92.151 * [backup-simplify]: Simplify (+ 0 0) into 0 92.151 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 92.152 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 92.153 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 92.154 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 92.154 * [backup-simplify]: Simplify (- 0) into 0 92.154 * [backup-simplify]: Simplify (+ 0 0) into 0 92.155 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 92.156 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 92.156 * [taylor]: Taking taylor expansion of 0 in phi1 92.156 * [backup-simplify]: Simplify 0 into 0 92.156 * [taylor]: Taking taylor expansion of 0 in phi2 92.156 * [backup-simplify]: Simplify 0 into 0 92.156 * [backup-simplify]: Simplify 0 into 0 92.157 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 92.158 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 92.158 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 92.159 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 92.159 * [backup-simplify]: Simplify (- 0) into 0 92.160 * [backup-simplify]: Simplify (+ 0 0) into 0 92.160 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 92.161 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 92.161 * [taylor]: Taking taylor expansion of 0 in phi2 92.161 * [backup-simplify]: Simplify 0 into 0 92.161 * [backup-simplify]: Simplify 0 into 0 92.162 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 92.163 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 92.163 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 92.164 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 92.164 * [backup-simplify]: Simplify (- 0) into 0 92.165 * [backup-simplify]: Simplify (+ 0 0) into 0 92.165 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 92.166 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 92.166 * [backup-simplify]: Simplify 0 into 0 92.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 92.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 92.168 * [backup-simplify]: Simplify (- 0) into 0 92.168 * [backup-simplify]: Simplify (+ 0 0) into 0 92.169 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 lambda2) (/ 1 lambda2)) (* 0 -1))) into (/ 1 (pow lambda2 2)) 92.170 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 92.171 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 92.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 92.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 92.171 * [backup-simplify]: Simplify (+ 0 0) into 0 92.172 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 92.173 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 92.174 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 92.174 * [backup-simplify]: Simplify (- 0) into 0 92.174 * [backup-simplify]: Simplify (+ 0 0) into 0 92.175 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 92.176 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 1 (pow lambda2 2))) (+ (* 0 (- (* 2 (/ 1 lambda2)))) (* 0 1))) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 92.177 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into (/ -1 (pow lambda2 2)) 92.178 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 92.178 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into (- (* 1/3 (/ 1 (pow lambda2 2)))) 92.179 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow lambda2 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) 92.179 * [taylor]: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) in lambda2 92.179 * [taylor]: Taking taylor expansion of -1/9 in lambda2 92.179 * [backup-simplify]: Simplify -1/9 into -1/9 92.179 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)) in lambda2 92.179 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 92.179 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 92.179 * [taylor]: Taking taylor expansion of 1/3 in lambda2 92.179 * [backup-simplify]: Simplify 1/3 into 1/3 92.180 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 92.180 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 92.180 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 92.180 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 92.180 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 92.180 * [taylor]: Taking taylor expansion of -1/2 in lambda2 92.180 * [backup-simplify]: Simplify -1/2 into -1/2 92.180 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 92.180 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 92.180 * [taylor]: Taking taylor expansion of phi1 in lambda2 92.180 * [backup-simplify]: Simplify phi1 into phi1 92.180 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 92.180 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 92.180 * [taylor]: Taking taylor expansion of phi2 in lambda2 92.180 * [backup-simplify]: Simplify phi2 into phi2 92.180 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 92.180 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 92.180 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 92.180 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.181 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.181 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.181 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 92.181 * [backup-simplify]: Simplify (- 0) into 0 92.181 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.182 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 92.182 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 92.182 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 92.182 * [taylor]: Taking taylor expansion of 2 in lambda2 92.182 * [backup-simplify]: Simplify 2 into 2 92.182 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 92.182 * [taylor]: Taking taylor expansion of lambda1 in lambda2 92.182 * [backup-simplify]: Simplify lambda1 into lambda1 92.182 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 92.182 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 92.182 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 92.183 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 92.183 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 92.183 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 92.183 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 92.183 * [taylor]: Taking taylor expansion of lambda2 in lambda2 92.183 * [backup-simplify]: Simplify 0 into 0 92.183 * [backup-simplify]: Simplify 1 into 1 92.184 * [backup-simplify]: Simplify (* 1 1) into 1 92.184 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 92.185 * [backup-simplify]: Simplify (+ 0) into 0 92.185 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 92.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 92.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 92.186 * [backup-simplify]: Simplify (+ 0 0) into 0 92.186 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 92.187 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 92.188 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 92.188 * [backup-simplify]: Simplify (- 0) into 0 92.188 * [backup-simplify]: Simplify (+ 0 0) into 0 92.189 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 92.190 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 92.190 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 92.191 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 92.191 * [backup-simplify]: Simplify (- 0) into 0 92.192 * [backup-simplify]: Simplify (+ 0 0) into 0 92.192 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 92.193 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 92.194 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 92.194 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 92.194 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 92.195 * [backup-simplify]: Simplify (+ 0 0) into 0 92.196 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 92.196 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 92.197 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 92.197 * [backup-simplify]: Simplify (- 0) into 0 92.198 * [backup-simplify]: Simplify (+ 0 0) into 0 92.198 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 92.200 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 92.202 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 92.203 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 92.203 * [backup-simplify]: Simplify (- 0) into 0 92.203 * [backup-simplify]: Simplify (+ 0 0) into 0 92.205 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 92.205 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 92.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 92.207 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 92.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 92.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 92.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 92.209 * [backup-simplify]: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0 92.209 * [taylor]: Taking taylor expansion of 0 in phi1 92.209 * [backup-simplify]: Simplify 0 into 0 92.209 * [taylor]: Taking taylor expansion of 0 in phi2 92.209 * [backup-simplify]: Simplify 0 into 0 92.209 * [backup-simplify]: Simplify 0 into 0 92.210 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 92.210 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 92.210 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 92.210 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 92.211 * [backup-simplify]: Simplify (+ 0 0) into 0 92.211 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 92.212 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 92.212 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 92.212 * [backup-simplify]: Simplify (- 0) into 0 92.213 * [backup-simplify]: Simplify (+ 0 0) into 0 92.213 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 92.214 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 92.215 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 92.216 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 92.216 * [backup-simplify]: Simplify (- 0) into 0 92.216 * [backup-simplify]: Simplify (+ 0 0) into 0 92.217 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 92.218 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 92.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 92.219 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0 92.219 * [taylor]: Taking taylor expansion of 0 in phi1 92.219 * [backup-simplify]: Simplify 0 into 0 92.219 * [taylor]: Taking taylor expansion of 0 in phi2 92.219 * [backup-simplify]: Simplify 0 into 0 92.219 * [backup-simplify]: Simplify 0 into 0 92.219 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) 2)) (* 2 (log (/ 1 (- lambda1))))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log (/ -1 lambda1)))))) 92.220 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 1) 92.220 * [backup-simplify]: Simplify (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) into (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) 92.220 * [approximate]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in (lambda1 lambda2 phi1 phi2) around 0 92.220 * [taylor]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in phi2 92.220 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in phi2 92.220 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in phi2 92.220 * [taylor]: Taking taylor expansion of 1/3 in phi2 92.220 * [backup-simplify]: Simplify 1/3 into 1/3 92.220 * [taylor]: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in phi2 92.220 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi2 92.220 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi2 92.220 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi2 92.220 * [taylor]: Taking taylor expansion of lambda1 in phi2 92.220 * [backup-simplify]: Simplify lambda1 into lambda1 92.220 * [taylor]: Taking taylor expansion of lambda2 in phi2 92.220 * [backup-simplify]: Simplify lambda2 into lambda2 92.220 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 92.220 * [backup-simplify]: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) 92.220 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 92.220 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 92.220 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 92.220 * [taylor]: Taking taylor expansion of 1/2 in phi2 92.220 * [backup-simplify]: Simplify 1/2 into 1/2 92.220 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 92.220 * [taylor]: Taking taylor expansion of phi1 in phi2 92.220 * [backup-simplify]: Simplify phi1 into phi1 92.220 * [taylor]: Taking taylor expansion of phi2 in phi2 92.220 * [backup-simplify]: Simplify 0 into 0 92.220 * [backup-simplify]: Simplify 1 into 1 92.220 * [backup-simplify]: Simplify (+ phi1 0) into phi1 92.220 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 92.220 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 92.220 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 92.220 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 92.220 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0 92.221 * [backup-simplify]: Simplify (- 0) into 0 92.221 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 92.221 * [backup-simplify]: Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2) 92.221 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2) 92.221 * [backup-simplify]: Simplify (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) into (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) 92.221 * [backup-simplify]: Simplify (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))) into (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))) 92.221 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)))) into (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)))) 92.221 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))))) into (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) 1/3) 92.221 * [taylor]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in phi1 92.221 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in phi1 92.221 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in phi1 92.221 * [taylor]: Taking taylor expansion of 1/3 in phi1 92.222 * [backup-simplify]: Simplify 1/3 into 1/3 92.222 * [taylor]: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in phi1 92.222 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 92.222 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi1 92.222 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi1 92.222 * [taylor]: Taking taylor expansion of lambda1 in phi1 92.222 * [backup-simplify]: Simplify lambda1 into lambda1 92.222 * [taylor]: Taking taylor expansion of lambda2 in phi1 92.222 * [backup-simplify]: Simplify lambda2 into lambda2 92.222 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 92.222 * [backup-simplify]: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) 92.222 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 92.222 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 92.222 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 92.222 * [taylor]: Taking taylor expansion of 1/2 in phi1 92.222 * [backup-simplify]: Simplify 1/2 into 1/2 92.222 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 92.222 * [taylor]: Taking taylor expansion of phi1 in phi1 92.222 * [backup-simplify]: Simplify 0 into 0 92.222 * [backup-simplify]: Simplify 1 into 1 92.222 * [taylor]: Taking taylor expansion of phi2 in phi1 92.222 * [backup-simplify]: Simplify phi2 into phi2 92.222 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 92.222 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 92.222 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 92.222 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 92.222 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 92.222 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 92.222 * [backup-simplify]: Simplify (- 0) into 0 92.222 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 92.222 * [backup-simplify]: Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2) 92.223 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 92.223 * [backup-simplify]: Simplify (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)) into (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 92.223 * [backup-simplify]: Simplify (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) into (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) 92.223 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) 92.223 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))) into (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3) 92.223 * [taylor]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in lambda2 92.223 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in lambda2 92.223 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda2 92.223 * [taylor]: Taking taylor expansion of 1/3 in lambda2 92.223 * [backup-simplify]: Simplify 1/3 into 1/3 92.223 * [taylor]: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda2 92.223 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 92.223 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda2 92.223 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 92.223 * [taylor]: Taking taylor expansion of lambda1 in lambda2 92.223 * [backup-simplify]: Simplify lambda1 into lambda1 92.223 * [taylor]: Taking taylor expansion of lambda2 in lambda2 92.223 * [backup-simplify]: Simplify 0 into 0 92.223 * [backup-simplify]: Simplify 1 into 1 92.223 * [backup-simplify]: Simplify (- 0) into 0 92.224 * [backup-simplify]: Simplify (+ lambda1 0) into lambda1 92.224 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 92.224 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 92.224 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 92.224 * [taylor]: Taking taylor expansion of 1/2 in lambda2 92.224 * [backup-simplify]: Simplify 1/2 into 1/2 92.224 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 92.224 * [taylor]: Taking taylor expansion of phi1 in lambda2 92.224 * [backup-simplify]: Simplify phi1 into phi1 92.224 * [taylor]: Taking taylor expansion of phi2 in lambda2 92.224 * [backup-simplify]: Simplify phi2 into phi2 92.224 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 92.224 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 92.224 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 92.224 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 92.224 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 92.224 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 92.227 * [backup-simplify]: Simplify (- 0) into 0 92.227 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 92.227 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 92.227 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 92.227 * [backup-simplify]: Simplify (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) 92.228 * [backup-simplify]: Simplify (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))) into (log (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 92.228 * [backup-simplify]: Simplify (* 1/3 (log (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)))) 92.228 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))))) into (pow (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) 92.228 * [taylor]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in lambda1 92.228 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in lambda1 92.228 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda1 92.228 * [taylor]: Taking taylor expansion of 1/3 in lambda1 92.228 * [backup-simplify]: Simplify 1/3 into 1/3 92.228 * [taylor]: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda1 92.228 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 92.228 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda1 92.228 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 92.228 * [taylor]: Taking taylor expansion of lambda1 in lambda1 92.228 * [backup-simplify]: Simplify 0 into 0 92.228 * [backup-simplify]: Simplify 1 into 1 92.229 * [taylor]: Taking taylor expansion of lambda2 in lambda1 92.229 * [backup-simplify]: Simplify lambda2 into lambda2 92.229 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 92.229 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 92.229 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 92.229 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 92.229 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 92.229 * [taylor]: Taking taylor expansion of 1/2 in lambda1 92.229 * [backup-simplify]: Simplify 1/2 into 1/2 92.229 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 92.229 * [taylor]: Taking taylor expansion of phi1 in lambda1 92.229 * [backup-simplify]: Simplify phi1 into phi1 92.229 * [taylor]: Taking taylor expansion of phi2 in lambda1 92.229 * [backup-simplify]: Simplify phi2 into phi2 92.229 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 92.229 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 92.229 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 92.229 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 92.229 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 92.229 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 92.230 * [backup-simplify]: Simplify (- 0) into 0 92.230 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 92.230 * [backup-simplify]: Simplify (* (- lambda2) (- lambda2)) into (pow lambda2 2) 92.230 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 92.231 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 92.231 * [backup-simplify]: Simplify (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 92.231 * [backup-simplify]: Simplify (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 92.231 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) 92.231 * [taylor]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in lambda1 92.231 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in lambda1 92.231 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda1 92.231 * [taylor]: Taking taylor expansion of 1/3 in lambda1 92.231 * [backup-simplify]: Simplify 1/3 into 1/3 92.231 * [taylor]: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda1 92.231 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 92.231 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda1 92.231 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 92.232 * [taylor]: Taking taylor expansion of lambda1 in lambda1 92.232 * [backup-simplify]: Simplify 0 into 0 92.232 * [backup-simplify]: Simplify 1 into 1 92.232 * [taylor]: Taking taylor expansion of lambda2 in lambda1 92.232 * [backup-simplify]: Simplify lambda2 into lambda2 92.232 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 92.232 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 92.232 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 92.232 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 92.232 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 92.232 * [taylor]: Taking taylor expansion of 1/2 in lambda1 92.232 * [backup-simplify]: Simplify 1/2 into 1/2 92.232 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 92.232 * [taylor]: Taking taylor expansion of phi1 in lambda1 92.232 * [backup-simplify]: Simplify phi1 into phi1 92.232 * [taylor]: Taking taylor expansion of phi2 in lambda1 92.232 * [backup-simplify]: Simplify phi2 into phi2 92.232 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 92.232 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 92.232 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 92.232 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 92.232 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 92.232 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 92.233 * [backup-simplify]: Simplify (- 0) into 0 92.233 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 92.233 * [backup-simplify]: Simplify (* (- lambda2) (- lambda2)) into (pow lambda2 2) 92.233 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 92.233 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 92.234 * [backup-simplify]: Simplify (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 92.234 * [backup-simplify]: Simplify (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 92.234 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) 92.234 * [taylor]: Taking taylor expansion of (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in lambda2 92.234 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in lambda2 92.234 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda2 92.234 * [taylor]: Taking taylor expansion of 1/3 in lambda2 92.234 * [backup-simplify]: Simplify 1/3 into 1/3 92.234 * [taylor]: Taking taylor expansion of (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda2 92.234 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 92.234 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 92.234 * [taylor]: Taking taylor expansion of lambda2 in lambda2 92.234 * [backup-simplify]: Simplify 0 into 0 92.234 * [backup-simplify]: Simplify 1 into 1 92.234 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 92.234 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 92.235 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 92.235 * [taylor]: Taking taylor expansion of 1/2 in lambda2 92.235 * [backup-simplify]: Simplify 1/2 into 1/2 92.235 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 92.235 * [taylor]: Taking taylor expansion of phi1 in lambda2 92.235 * [backup-simplify]: Simplify phi1 into phi1 92.235 * [taylor]: Taking taylor expansion of phi2 in lambda2 92.235 * [backup-simplify]: Simplify phi2 into phi2 92.235 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 92.235 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 92.235 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 92.235 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 92.235 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 92.235 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 92.236 * [backup-simplify]: Simplify (- 0) into 0 92.236 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 92.236 * [backup-simplify]: Simplify (* 1 1) into 1 92.236 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 92.236 * [backup-simplify]: Simplify (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 92.236 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 92.237 * [backup-simplify]: Simplify (+ (* (- -2) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))) 92.237 * [backup-simplify]: Simplify (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))) into (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))) 92.238 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) 92.238 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) in phi1 92.238 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))) in phi1 92.238 * [taylor]: Taking taylor expansion of 1/3 in phi1 92.238 * [backup-simplify]: Simplify 1/3 into 1/3 92.238 * [taylor]: Taking taylor expansion of (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))) in phi1 92.238 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 92.238 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 92.238 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 92.238 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 92.238 * [taylor]: Taking taylor expansion of 1/2 in phi1 92.238 * [backup-simplify]: Simplify 1/2 into 1/2 92.238 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 92.238 * [taylor]: Taking taylor expansion of phi1 in phi1 92.238 * [backup-simplify]: Simplify 0 into 0 92.238 * [backup-simplify]: Simplify 1 into 1 92.238 * [taylor]: Taking taylor expansion of phi2 in phi1 92.238 * [backup-simplify]: Simplify phi2 into phi2 92.238 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 92.238 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 92.238 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 92.238 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 92.238 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 92.238 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 92.239 * [backup-simplify]: Simplify (- 0) into 0 92.239 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 92.239 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 92.239 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 phi2)) 2)) into (log (pow (cos (* 1/2 phi2)) 2)) 92.239 * [taylor]: Taking taylor expansion of (* 2 (log lambda2)) in phi1 92.239 * [taylor]: Taking taylor expansion of 2 in phi1 92.239 * [backup-simplify]: Simplify 2 into 2 92.239 * [taylor]: Taking taylor expansion of (log lambda2) in phi1 92.239 * [taylor]: Taking taylor expansion of lambda2 in phi1 92.239 * [backup-simplify]: Simplify lambda2 into lambda2 92.239 * [backup-simplify]: Simplify (log lambda2) into (log lambda2) 92.239 * [backup-simplify]: Simplify (* 2 (log lambda2)) into (* 2 (log lambda2)) 92.240 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) into (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) 92.240 * [backup-simplify]: Simplify (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))) into (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))) 92.240 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) 92.240 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) in phi2 92.240 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))) in phi2 92.240 * [taylor]: Taking taylor expansion of 1/3 in phi2 92.240 * [backup-simplify]: Simplify 1/3 into 1/3 92.240 * [taylor]: Taking taylor expansion of (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) in phi2 92.240 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2 92.240 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 92.240 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 92.240 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 92.240 * [taylor]: Taking taylor expansion of 1/2 in phi2 92.240 * [backup-simplify]: Simplify 1/2 into 1/2 92.240 * [taylor]: Taking taylor expansion of phi2 in phi2 92.240 * [backup-simplify]: Simplify 0 into 0 92.240 * [backup-simplify]: Simplify 1 into 1 92.241 * [backup-simplify]: Simplify (* 1/2 0) into 0 92.242 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 92.242 * [backup-simplify]: Simplify (* 1 1) into 1 92.242 * [backup-simplify]: Simplify (log 1) into 0 92.242 * [taylor]: Taking taylor expansion of (* 2 (log lambda2)) in phi2 92.242 * [taylor]: Taking taylor expansion of 2 in phi2 92.242 * [backup-simplify]: Simplify 2 into 2 92.242 * [taylor]: Taking taylor expansion of (log lambda2) in phi2 92.242 * [taylor]: Taking taylor expansion of lambda2 in phi2 92.242 * [backup-simplify]: Simplify lambda2 into lambda2 92.243 * [backup-simplify]: Simplify (log lambda2) into (log lambda2) 92.243 * [backup-simplify]: Simplify (* 2 (log lambda2)) into (* 2 (log lambda2)) 92.243 * [backup-simplify]: Simplify (+ 0 (* 2 (log lambda2))) into (* 2 (log lambda2)) 92.243 * [backup-simplify]: Simplify (* 1/3 (* 2 (log lambda2))) into (* 2/3 (log lambda2)) 92.243 * [backup-simplify]: Simplify (exp (* 2/3 (log lambda2))) into (pow lambda2 2/3) 92.243 * [backup-simplify]: Simplify (pow lambda2 2/3) into (pow lambda2 2/3) 92.243 * [backup-simplify]: Simplify (+ 0) into 0 92.244 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 92.244 * [backup-simplify]: Simplify (+ 0 0) into 0 92.245 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 92.246 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 92.246 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 92.246 * [backup-simplify]: Simplify (- 0) into 0 92.247 * [backup-simplify]: Simplify (+ 0 0) into 0 92.247 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 92.247 * [backup-simplify]: Simplify (- 0) into 0 92.248 * [backup-simplify]: Simplify (+ 1 0) into 1 92.248 * [backup-simplify]: Simplify (+ (* (- lambda2) 1) (* 1 (- lambda2))) into (- (* 2 lambda2)) 92.248 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (* (- (* 2 lambda2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 92.249 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 1)) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)))) 1) into (/ -2 lambda2) 92.249 * [backup-simplify]: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (- (* 2/3 (/ 1 lambda2))) 92.249 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3)) 92.249 * [taylor]: Taking taylor expansion of (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3)) in lambda2 92.250 * [taylor]: Taking taylor expansion of -2/3 in lambda2 92.250 * [backup-simplify]: Simplify -2/3 into -2/3 92.250 * [taylor]: Taking taylor expansion of (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3) in lambda2 92.250 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)))) in lambda2 92.250 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2))) in lambda2 92.250 * [taylor]: Taking taylor expansion of 1/3 in lambda2 92.250 * [backup-simplify]: Simplify 1/3 into 1/3 92.250 * [taylor]: Taking taylor expansion of (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)) in lambda2 92.250 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) in lambda2 92.250 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 92.250 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 92.250 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 92.250 * [taylor]: Taking taylor expansion of 1/2 in lambda2 92.250 * [backup-simplify]: Simplify 1/2 into 1/2 92.250 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 92.250 * [taylor]: Taking taylor expansion of phi1 in lambda2 92.250 * [backup-simplify]: Simplify phi1 into phi1 92.250 * [taylor]: Taking taylor expansion of phi2 in lambda2 92.250 * [backup-simplify]: Simplify phi2 into phi2 92.250 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 92.250 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 92.250 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 92.250 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 92.250 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 92.250 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 92.251 * [backup-simplify]: Simplify (- 0) into 0 92.251 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 92.251 * [taylor]: Taking taylor expansion of lambda2 in lambda2 92.251 * [backup-simplify]: Simplify 0 into 0 92.251 * [backup-simplify]: Simplify 1 into 1 92.251 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 92.251 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 92.252 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 92.252 * [backup-simplify]: Simplify (+ (* (- 1) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)) 92.252 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))) 92.253 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))) 92.253 * [backup-simplify]: Simplify (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))))) into (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))))) 92.253 * [taylor]: Taking taylor expansion of (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))))) in phi1 92.253 * [taylor]: Taking taylor expansion of -2/3 in phi1 92.253 * [backup-simplify]: Simplify -2/3 into -2/3 92.253 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))) in phi1 92.253 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))) in phi1 92.253 * [taylor]: Taking taylor expansion of 1/3 in phi1 92.253 * [backup-simplify]: Simplify 1/3 into 1/3 92.253 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)) in phi1 92.253 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 92.253 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 92.253 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 92.253 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 92.253 * [taylor]: Taking taylor expansion of 1/2 in phi1 92.253 * [backup-simplify]: Simplify 1/2 into 1/2 92.253 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 92.253 * [taylor]: Taking taylor expansion of phi1 in phi1 92.253 * [backup-simplify]: Simplify 0 into 0 92.253 * [backup-simplify]: Simplify 1 into 1 92.253 * [taylor]: Taking taylor expansion of phi2 in phi1 92.253 * [backup-simplify]: Simplify phi2 into phi2 92.253 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 92.253 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 92.253 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 92.254 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 92.254 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 92.254 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 92.254 * [backup-simplify]: Simplify (- 0) into 0 92.254 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 92.255 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 92.255 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 phi2)) 2)) into (log (pow (cos (* 1/2 phi2)) 2)) 92.255 * [taylor]: Taking taylor expansion of (log lambda2) in phi1 92.255 * [taylor]: Taking taylor expansion of lambda2 in phi1 92.255 * [backup-simplify]: Simplify lambda2 into lambda2 92.255 * [backup-simplify]: Simplify (log lambda2) into (log lambda2) 92.255 * [backup-simplify]: Simplify (- (log lambda2)) into (- (log lambda2)) 92.255 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 phi2)) 2)) (- (log lambda2))) into (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)) 92.255 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))) into (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))) 92.255 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)))) 92.256 * [backup-simplify]: Simplify (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))))) into (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))))) 92.256 * [taylor]: Taking taylor expansion of (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))))) in phi2 92.256 * [taylor]: Taking taylor expansion of -2/3 in phi2 92.256 * [backup-simplify]: Simplify -2/3 into -2/3 92.256 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)))) in phi2 92.256 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))) in phi2 92.256 * [taylor]: Taking taylor expansion of 1/3 in phi2 92.256 * [backup-simplify]: Simplify 1/3 into 1/3 92.256 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)) in phi2 92.256 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2 92.256 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 92.256 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 92.256 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 92.256 * [taylor]: Taking taylor expansion of 1/2 in phi2 92.256 * [backup-simplify]: Simplify 1/2 into 1/2 92.256 * [taylor]: Taking taylor expansion of phi2 in phi2 92.256 * [backup-simplify]: Simplify 0 into 0 92.256 * [backup-simplify]: Simplify 1 into 1 92.257 * [backup-simplify]: Simplify (* 1/2 0) into 0 92.257 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 92.258 * [backup-simplify]: Simplify (* 1 1) into 1 92.258 * [backup-simplify]: Simplify (log 1) into 0 92.258 * [taylor]: Taking taylor expansion of (log lambda2) in phi2 92.258 * [taylor]: Taking taylor expansion of lambda2 in phi2 92.258 * [backup-simplify]: Simplify lambda2 into lambda2 92.258 * [backup-simplify]: Simplify (log lambda2) into (log lambda2) 92.258 * [backup-simplify]: Simplify (- (log lambda2)) into (- (log lambda2)) 92.258 * [backup-simplify]: Simplify (+ 0 (- (log lambda2))) into (- (log lambda2)) 92.258 * [backup-simplify]: Simplify (* 1/3 (- (log lambda2))) into (* -1/3 (log lambda2)) 92.259 * [backup-simplify]: Simplify (exp (* -1/3 (log lambda2))) into (pow lambda2 -1/3) 92.259 * [backup-simplify]: Simplify (* -2/3 (pow lambda2 -1/3)) into (* -2/3 (pow (/ 1 lambda2) 1/3)) 92.259 * [backup-simplify]: Simplify (* -2/3 (pow (/ 1 lambda2) 1/3)) into (* -2/3 (pow (/ 1 lambda2) 1/3)) 92.259 * [backup-simplify]: Simplify (+ 0) into 0 92.260 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 92.260 * [backup-simplify]: Simplify (+ 0 0) into 0 92.261 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 92.261 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 92.262 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 92.262 * [backup-simplify]: Simplify (- 0) into 0 92.263 * [backup-simplify]: Simplify (+ 0 0) into 0 92.263 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 92.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 92.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into 0 92.265 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1)))) 1) into 0 92.265 * [backup-simplify]: Simplify (+ (* (- -2) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))) 92.266 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) into 0 92.267 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) (+ (* (/ (pow 0 1) 1)))) into 0 92.267 * [taylor]: Taking taylor expansion of 0 in phi1 92.267 * [backup-simplify]: Simplify 0 into 0 92.267 * [taylor]: Taking taylor expansion of 0 in phi2 92.267 * [backup-simplify]: Simplify 0 into 0 92.267 * [backup-simplify]: Simplify 0 into 0 92.267 * [backup-simplify]: Simplify (+ 0) into 0 92.268 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 92.268 * [backup-simplify]: Simplify (+ 1 0) into 1 92.269 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 92.270 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 92.270 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 92.270 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 92.270 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 92.271 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) (- (* 1/2 (sin (* 1/2 phi2))))) (* (- (* 1/2 (sin (* 1/2 phi2)))) (cos (* 1/2 phi2)))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) 92.271 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))))) 1)) (pow (pow (cos (* 1/2 phi2)) 2) 1)))) 1) into (* -1 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) 92.272 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0 92.272 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0 92.273 * [backup-simplify]: Simplify (+ (* -1 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) 0) into (- (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) 92.273 * [backup-simplify]: Simplify (+ (* 1/3 (- (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2))))) (* 0 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) into (- (* 1/3 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2))))) 92.273 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) (+ (* (/ (pow (- (* 1/3 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2))))) 1) 1)))) into (* -1/3 (/ (* (sin (* 1/2 phi2)) (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))))) (cos (* 1/2 phi2)))) 92.273 * [taylor]: Taking taylor expansion of (* -1/3 (/ (* (sin (* 1/2 phi2)) (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))))) (cos (* 1/2 phi2)))) in phi2 92.273 * [taylor]: Taking taylor expansion of -1/3 in phi2 92.273 * [backup-simplify]: Simplify -1/3 into -1/3 92.273 * [taylor]: Taking taylor expansion of (/ (* (sin (* 1/2 phi2)) (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))))) (cos (* 1/2 phi2))) in phi2 92.274 * [taylor]: Taking taylor expansion of (* (sin (* 1/2 phi2)) (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))))) in phi2 92.274 * [taylor]: Taking taylor expansion of (sin (* 1/2 phi2)) in phi2 92.274 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 92.274 * [taylor]: Taking taylor expansion of 1/2 in phi2 92.274 * [backup-simplify]: Simplify 1/2 into 1/2 92.274 * [taylor]: Taking taylor expansion of phi2 in phi2 92.274 * [backup-simplify]: Simplify 0 into 0 92.274 * [backup-simplify]: Simplify 1 into 1 92.274 * [backup-simplify]: Simplify (* 1/2 0) into 0 92.275 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 92.275 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) in phi2 92.275 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))) in phi2 92.275 * [taylor]: Taking taylor expansion of 1/3 in phi2 92.275 * [backup-simplify]: Simplify 1/3 into 1/3 92.275 * [taylor]: Taking taylor expansion of (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) in phi2 92.275 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2 92.275 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 92.275 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 92.275 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 92.275 * [taylor]: Taking taylor expansion of 1/2 in phi2 92.275 * [backup-simplify]: Simplify 1/2 into 1/2 92.275 * [taylor]: Taking taylor expansion of phi2 in phi2 92.275 * [backup-simplify]: Simplify 0 into 0 92.275 * [backup-simplify]: Simplify 1 into 1 92.275 * [backup-simplify]: Simplify (* 1/2 0) into 0 92.276 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 92.277 * [backup-simplify]: Simplify (* 1 1) into 1 92.277 * [backup-simplify]: Simplify (log 1) into 0 92.277 * [taylor]: Taking taylor expansion of (* 2 (log lambda2)) in phi2 92.277 * [taylor]: Taking taylor expansion of 2 in phi2 92.277 * [backup-simplify]: Simplify 2 into 2 92.277 * [taylor]: Taking taylor expansion of (log lambda2) in phi2 92.277 * [taylor]: Taking taylor expansion of lambda2 in phi2 92.277 * [backup-simplify]: Simplify lambda2 into lambda2 92.277 * [backup-simplify]: Simplify (log lambda2) into (log lambda2) 92.277 * [backup-simplify]: Simplify (* 2 (log lambda2)) into (* 2 (log lambda2)) 92.277 * [backup-simplify]: Simplify (+ 0 (* 2 (log lambda2))) into (* 2 (log lambda2)) 92.277 * [backup-simplify]: Simplify (* 1/3 (* 2 (log lambda2))) into (* 2/3 (log lambda2)) 92.277 * [backup-simplify]: Simplify (exp (* 2/3 (log lambda2))) into (pow lambda2 2/3) 92.277 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 92.277 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 92.278 * [taylor]: Taking taylor expansion of 1/2 in phi2 92.278 * [backup-simplify]: Simplify 1/2 into 1/2 92.278 * [taylor]: Taking taylor expansion of phi2 in phi2 92.278 * [backup-simplify]: Simplify 0 into 0 92.278 * [backup-simplify]: Simplify 1 into 1 92.278 * [backup-simplify]: Simplify (* 1/2 0) into 0 92.279 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 92.279 * [backup-simplify]: Simplify (* 0 (pow lambda2 2/3)) into 0 92.279 * [backup-simplify]: Simplify (+ 0) into 0 92.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 92.281 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 92.282 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0 92.283 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0 92.283 * [backup-simplify]: Simplify (+ 0 0) into 0 92.283 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log lambda2)))) into 0 92.284 * [backup-simplify]: Simplify (* (exp (* 2/3 (log lambda2))) (+ (* (/ (pow 0 1) 1)))) into 0 92.285 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 92.286 * [backup-simplify]: Simplify (+ (* 0 0) (* 1/2 (pow lambda2 2/3))) into (* 1/2 (pow (pow lambda2 2) 1/3)) 92.286 * [backup-simplify]: Simplify (/ (* 1/2 (pow (pow lambda2 2) 1/3)) 1) into (* 1/2 (pow (pow lambda2 2) 1/3)) 92.286 * [backup-simplify]: Simplify (+ 0) into 0 92.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 92.288 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 92.289 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0 92.289 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0 92.290 * [backup-simplify]: Simplify (+ 0 0) into 0 92.290 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log lambda2)))) into 0 92.291 * [backup-simplify]: Simplify (* (exp (* 2/3 (log lambda2))) (+ (* (/ (pow 0 1) 1)))) into 0 92.291 * [backup-simplify]: Simplify 0 into 0 92.292 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 92.292 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 92.293 * [backup-simplify]: Simplify (+ 0 0) into 0 92.293 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ phi1 phi2)))) into 0 92.294 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 92.294 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 92.294 * [backup-simplify]: Simplify (- 0) into 0 92.294 * [backup-simplify]: Simplify (+ 0 0) into 0 92.295 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 92.295 * [backup-simplify]: Simplify (- 0) into 0 92.295 * [backup-simplify]: Simplify (+ 0 0) into 0 92.295 * [backup-simplify]: Simplify (+ (* (- lambda2) 0) (+ (* 1 1) (* 0 (- lambda2)))) into 1 92.296 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (+ (* (- (* 2 lambda2)) 0) (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 92.296 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 2)) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)))) 2) into (/ -1 (pow lambda2 2)) 92.296 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))))) into (- (* 1/3 (/ 1 (pow lambda2 2)))) 92.297 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow lambda2 2)))) 1) 1)))) into (* -1/9 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3)) 92.297 * [taylor]: Taking taylor expansion of (* -1/9 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3)) in lambda2 92.297 * [taylor]: Taking taylor expansion of -1/9 in lambda2 92.297 * [backup-simplify]: Simplify -1/9 into -1/9 92.297 * [taylor]: Taking taylor expansion of (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3) in lambda2 92.297 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4))))) in lambda2 92.297 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)))) in lambda2 92.297 * [taylor]: Taking taylor expansion of 1/3 in lambda2 92.297 * [backup-simplify]: Simplify 1/3 into 1/3 92.297 * [taylor]: Taking taylor expansion of (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4))) in lambda2 92.297 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) in lambda2 92.297 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 92.297 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 92.297 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 92.297 * [taylor]: Taking taylor expansion of 1/2 in lambda2 92.297 * [backup-simplify]: Simplify 1/2 into 1/2 92.297 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 92.297 * [taylor]: Taking taylor expansion of phi1 in lambda2 92.297 * [backup-simplify]: Simplify phi1 into phi1 92.297 * [taylor]: Taking taylor expansion of phi2 in lambda2 92.297 * [backup-simplify]: Simplify phi2 into phi2 92.297 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 92.297 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 92.297 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 92.297 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 92.297 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 92.297 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 92.298 * [backup-simplify]: Simplify (- 0) into 0 92.298 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 92.298 * [taylor]: Taking taylor expansion of (pow lambda2 4) in lambda2 92.298 * [taylor]: Taking taylor expansion of lambda2 in lambda2 92.298 * [backup-simplify]: Simplify 0 into 0 92.298 * [backup-simplify]: Simplify 1 into 1 92.298 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 92.298 * [backup-simplify]: Simplify (* 1 1) into 1 92.298 * [backup-simplify]: Simplify (* 1 1) into 1 92.298 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 92.299 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 92.299 * [backup-simplify]: Simplify (+ (* (- 4) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))) 92.299 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))) 92.299 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))) 92.299 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))))) into (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))))) 92.299 * [taylor]: Taking taylor expansion of (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))))) in phi1 92.299 * [taylor]: Taking taylor expansion of -1/9 in phi1 92.299 * [backup-simplify]: Simplify -1/9 into -1/9 92.299 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))) in phi1 92.299 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))) in phi1 92.299 * [taylor]: Taking taylor expansion of 1/3 in phi1 92.299 * [backup-simplify]: Simplify 1/3 into 1/3 92.299 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))) in phi1 92.299 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 92.299 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 92.299 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 92.300 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 92.300 * [taylor]: Taking taylor expansion of 1/2 in phi1 92.300 * [backup-simplify]: Simplify 1/2 into 1/2 92.300 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 92.300 * [taylor]: Taking taylor expansion of phi1 in phi1 92.300 * [backup-simplify]: Simplify 0 into 0 92.300 * [backup-simplify]: Simplify 1 into 1 92.300 * [taylor]: Taking taylor expansion of phi2 in phi1 92.300 * [backup-simplify]: Simplify phi2 into phi2 92.300 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 92.300 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 92.300 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 92.300 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 92.300 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 92.300 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 92.300 * [backup-simplify]: Simplify (- 0) into 0 92.300 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 92.300 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 92.300 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 phi2)) 2)) into (log (pow (cos (* 1/2 phi2)) 2)) 92.300 * [taylor]: Taking taylor expansion of (* 4 (log lambda2)) in phi1 92.300 * [taylor]: Taking taylor expansion of 4 in phi1 92.300 * [backup-simplify]: Simplify 4 into 4 92.300 * [taylor]: Taking taylor expansion of (log lambda2) in phi1 92.300 * [taylor]: Taking taylor expansion of lambda2 in phi1 92.300 * [backup-simplify]: Simplify lambda2 into lambda2 92.300 * [backup-simplify]: Simplify (log lambda2) into (log lambda2) 92.300 * [backup-simplify]: Simplify (* 4 (log lambda2)) into (* 4 (log lambda2)) 92.301 * [backup-simplify]: Simplify (- (* 4 (log lambda2))) into (- (* 4 (log lambda2))) 92.301 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 phi2)) 2)) (- (* 4 (log lambda2)))) into (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))) 92.301 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))) 92.301 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))))) 92.301 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))))) into (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))))) 92.301 * [taylor]: Taking taylor expansion of (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))))) in phi2 92.301 * [taylor]: Taking taylor expansion of -1/9 in phi2 92.301 * [backup-simplify]: Simplify -1/9 into -1/9 92.301 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))))) in phi2 92.301 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))) in phi2 92.301 * [taylor]: Taking taylor expansion of 1/3 in phi2 92.301 * [backup-simplify]: Simplify 1/3 into 1/3 92.301 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))) in phi2 92.301 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2 92.301 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 92.301 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 92.301 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 92.301 * [taylor]: Taking taylor expansion of 1/2 in phi2 92.301 * [backup-simplify]: Simplify 1/2 into 1/2 92.301 * [taylor]: Taking taylor expansion of phi2 in phi2 92.301 * [backup-simplify]: Simplify 0 into 0 92.301 * [backup-simplify]: Simplify 1 into 1 92.302 * [backup-simplify]: Simplify (* 1/2 0) into 0 92.302 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 92.302 * [backup-simplify]: Simplify (* 1 1) into 1 92.302 * [backup-simplify]: Simplify (log 1) into 0 92.302 * [taylor]: Taking taylor expansion of (* 4 (log lambda2)) in phi2 92.302 * [taylor]: Taking taylor expansion of 4 in phi2 92.302 * [backup-simplify]: Simplify 4 into 4 92.302 * [taylor]: Taking taylor expansion of (log lambda2) in phi2 92.302 * [taylor]: Taking taylor expansion of lambda2 in phi2 92.303 * [backup-simplify]: Simplify lambda2 into lambda2 92.303 * [backup-simplify]: Simplify (log lambda2) into (log lambda2) 92.303 * [backup-simplify]: Simplify (* 4 (log lambda2)) into (* 4 (log lambda2)) 92.303 * [backup-simplify]: Simplify (- (* 4 (log lambda2))) into (- (* 4 (log lambda2))) 92.303 * [backup-simplify]: Simplify (+ 0 (- (* 4 (log lambda2)))) into (- (* 4 (log lambda2))) 92.303 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log lambda2)))) into (* -4/3 (log lambda2)) 92.303 * [backup-simplify]: Simplify (exp (* -4/3 (log lambda2))) into (pow lambda2 -4/3) 92.303 * [backup-simplify]: Simplify (* -1/9 (pow lambda2 -4/3)) into (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) 92.303 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) into (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) 92.303 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) (pow (* 1 (* 1 (* 1 lambda1))) 2)) (+ (* (* -2/3 (pow (/ 1 lambda2) 1/3)) (* 1 (* 1 (* 1 lambda1)))) (pow lambda2 2/3))) into (- (pow lambda2 2/3) (+ (* 2/3 (* (pow (/ 1 lambda2) 1/3) lambda1)) (* 1/9 (* (pow (/ 1 (pow lambda2 4)) 1/3) (pow lambda1 2))))) 92.304 * [backup-simplify]: Simplify (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) 92.304 * [approximate]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in (lambda1 lambda2 phi1 phi2) around 0 92.304 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in phi2 92.304 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in phi2 92.304 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in phi2 92.304 * [taylor]: Taking taylor expansion of 1/3 in phi2 92.304 * [backup-simplify]: Simplify 1/3 into 1/3 92.304 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in phi2 92.304 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in phi2 92.304 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 92.304 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 92.304 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 92.304 * [taylor]: Taking taylor expansion of 1/2 in phi2 92.304 * [backup-simplify]: Simplify 1/2 into 1/2 92.304 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 92.304 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 92.304 * [taylor]: Taking taylor expansion of phi1 in phi2 92.304 * [backup-simplify]: Simplify phi1 into phi1 92.304 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 92.304 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 92.304 * [taylor]: Taking taylor expansion of phi2 in phi2 92.304 * [backup-simplify]: Simplify 0 into 0 92.304 * [backup-simplify]: Simplify 1 into 1 92.304 * [backup-simplify]: Simplify (/ 1 1) into 1 92.305 * [backup-simplify]: Simplify (+ 0 1) into 1 92.305 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 92.305 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.305 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in phi2 92.305 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 92.305 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 92.305 * [taylor]: Taking taylor expansion of lambda1 in phi2 92.305 * [backup-simplify]: Simplify lambda1 into lambda1 92.305 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 92.305 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 92.305 * [taylor]: Taking taylor expansion of lambda2 in phi2 92.305 * [backup-simplify]: Simplify lambda2 into lambda2 92.305 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 92.305 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 92.305 * [backup-simplify]: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) 92.306 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 92.306 * [backup-simplify]: Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (- (/ 1 lambda1) (/ 1 lambda2))) into (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) 92.306 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 92.306 * [backup-simplify]: Simplify (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) into (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) 92.306 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) 92.306 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) 92.306 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in phi1 92.307 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in phi1 92.307 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in phi1 92.307 * [taylor]: Taking taylor expansion of 1/3 in phi1 92.307 * [backup-simplify]: Simplify 1/3 into 1/3 92.307 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in phi1 92.307 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in phi1 92.307 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 92.307 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 92.307 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 92.307 * [taylor]: Taking taylor expansion of 1/2 in phi1 92.307 * [backup-simplify]: Simplify 1/2 into 1/2 92.307 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 92.307 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 92.307 * [taylor]: Taking taylor expansion of phi1 in phi1 92.307 * [backup-simplify]: Simplify 0 into 0 92.307 * [backup-simplify]: Simplify 1 into 1 92.307 * [backup-simplify]: Simplify (/ 1 1) into 1 92.307 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 92.307 * [taylor]: Taking taylor expansion of phi2 in phi1 92.307 * [backup-simplify]: Simplify phi2 into phi2 92.307 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 92.307 * [backup-simplify]: Simplify (+ 1 0) into 1 92.308 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 92.308 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.308 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in phi1 92.308 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 92.308 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 92.308 * [taylor]: Taking taylor expansion of lambda1 in phi1 92.308 * [backup-simplify]: Simplify lambda1 into lambda1 92.308 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 92.308 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 92.308 * [taylor]: Taking taylor expansion of lambda2 in phi1 92.308 * [backup-simplify]: Simplify lambda2 into lambda2 92.308 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 92.308 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 92.308 * [backup-simplify]: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) 92.308 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 92.308 * [backup-simplify]: Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (- (/ 1 lambda1) (/ 1 lambda2))) into (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) 92.308 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 92.309 * [backup-simplify]: Simplify (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) into (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) 92.309 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) 92.309 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) 92.309 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in lambda2 92.309 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in lambda2 92.309 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in lambda2 92.309 * [taylor]: Taking taylor expansion of 1/3 in lambda2 92.309 * [backup-simplify]: Simplify 1/3 into 1/3 92.309 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in lambda2 92.309 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda2 92.309 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 92.309 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 92.309 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 92.309 * [taylor]: Taking taylor expansion of 1/2 in lambda2 92.309 * [backup-simplify]: Simplify 1/2 into 1/2 92.309 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 92.309 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 92.309 * [taylor]: Taking taylor expansion of phi1 in lambda2 92.309 * [backup-simplify]: Simplify phi1 into phi1 92.309 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 92.309 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 92.309 * [taylor]: Taking taylor expansion of phi2 in lambda2 92.309 * [backup-simplify]: Simplify phi2 into phi2 92.309 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 92.310 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 92.310 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 92.310 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.310 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.310 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.310 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 92.310 * [backup-simplify]: Simplify (- 0) into 0 92.310 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.310 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in lambda2 92.310 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 92.310 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 92.310 * [taylor]: Taking taylor expansion of lambda1 in lambda2 92.310 * [backup-simplify]: Simplify lambda1 into lambda1 92.310 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 92.310 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 92.310 * [taylor]: Taking taylor expansion of lambda2 in lambda2 92.310 * [backup-simplify]: Simplify 0 into 0 92.310 * [backup-simplify]: Simplify 1 into 1 92.311 * [backup-simplify]: Simplify (/ 1 1) into 1 92.311 * [backup-simplify]: Simplify (- 1) into -1 92.311 * [backup-simplify]: Simplify (+ 0 -1) into -1 92.311 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 92.312 * [backup-simplify]: Simplify (* -1 -1) into 1 92.312 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 92.312 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 92.312 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))) 92.312 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) 92.313 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 92.313 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in lambda1 92.313 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in lambda1 92.313 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in lambda1 92.313 * [taylor]: Taking taylor expansion of 1/3 in lambda1 92.313 * [backup-simplify]: Simplify 1/3 into 1/3 92.313 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in lambda1 92.313 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1 92.313 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 92.313 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 92.313 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 92.313 * [taylor]: Taking taylor expansion of 1/2 in lambda1 92.313 * [backup-simplify]: Simplify 1/2 into 1/2 92.313 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 92.313 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 92.313 * [taylor]: Taking taylor expansion of phi1 in lambda1 92.313 * [backup-simplify]: Simplify phi1 into phi1 92.313 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 92.313 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 92.313 * [taylor]: Taking taylor expansion of phi2 in lambda1 92.313 * [backup-simplify]: Simplify phi2 into phi2 92.313 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 92.313 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 92.314 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 92.314 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.314 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.314 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.314 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 92.315 * [backup-simplify]: Simplify (- 0) into 0 92.315 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.315 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in lambda1 92.315 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 92.315 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 92.315 * [taylor]: Taking taylor expansion of lambda1 in lambda1 92.315 * [backup-simplify]: Simplify 0 into 0 92.315 * [backup-simplify]: Simplify 1 into 1 92.315 * [backup-simplify]: Simplify (/ 1 1) into 1 92.315 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 92.315 * [taylor]: Taking taylor expansion of lambda2 in lambda1 92.315 * [backup-simplify]: Simplify lambda2 into lambda2 92.315 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 92.316 * [backup-simplify]: Simplify (+ 1 0) into 1 92.316 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 92.317 * [backup-simplify]: Simplify (* 1 1) into 1 92.317 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 92.317 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 92.318 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 92.318 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 92.318 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 92.318 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in lambda1 92.318 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in lambda1 92.318 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in lambda1 92.318 * [taylor]: Taking taylor expansion of 1/3 in lambda1 92.318 * [backup-simplify]: Simplify 1/3 into 1/3 92.318 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in lambda1 92.318 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1 92.318 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 92.318 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 92.319 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 92.319 * [taylor]: Taking taylor expansion of 1/2 in lambda1 92.319 * [backup-simplify]: Simplify 1/2 into 1/2 92.319 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 92.319 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 92.319 * [taylor]: Taking taylor expansion of phi1 in lambda1 92.319 * [backup-simplify]: Simplify phi1 into phi1 92.319 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 92.319 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 92.319 * [taylor]: Taking taylor expansion of phi2 in lambda1 92.319 * [backup-simplify]: Simplify phi2 into phi2 92.319 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 92.319 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 92.319 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 92.319 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.319 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.320 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.320 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 92.320 * [backup-simplify]: Simplify (- 0) into 0 92.320 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.320 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in lambda1 92.320 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 92.320 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 92.320 * [taylor]: Taking taylor expansion of lambda1 in lambda1 92.320 * [backup-simplify]: Simplify 0 into 0 92.320 * [backup-simplify]: Simplify 1 into 1 92.321 * [backup-simplify]: Simplify (/ 1 1) into 1 92.321 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 92.321 * [taylor]: Taking taylor expansion of lambda2 in lambda1 92.321 * [backup-simplify]: Simplify lambda2 into lambda2 92.321 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 92.321 * [backup-simplify]: Simplify (+ 1 0) into 1 92.322 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 92.322 * [backup-simplify]: Simplify (* 1 1) into 1 92.322 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 92.322 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 92.323 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 92.323 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 92.324 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 92.324 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 92.324 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 92.324 * [taylor]: Taking taylor expansion of 1/3 in lambda2 92.324 * [backup-simplify]: Simplify 1/3 into 1/3 92.324 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 92.324 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 92.324 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 92.324 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 92.324 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 92.324 * [taylor]: Taking taylor expansion of 1/2 in lambda2 92.324 * [backup-simplify]: Simplify 1/2 into 1/2 92.324 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 92.324 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 92.324 * [taylor]: Taking taylor expansion of phi1 in lambda2 92.324 * [backup-simplify]: Simplify phi1 into phi1 92.324 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 92.324 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 92.324 * [taylor]: Taking taylor expansion of phi2 in lambda2 92.324 * [backup-simplify]: Simplify phi2 into phi2 92.324 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 92.325 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 92.325 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 92.325 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.325 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.325 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.325 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 92.326 * [backup-simplify]: Simplify (- 0) into 0 92.326 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.326 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 92.326 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 92.326 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 92.326 * [taylor]: Taking taylor expansion of 2 in lambda2 92.326 * [backup-simplify]: Simplify 2 into 2 92.326 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 92.327 * [taylor]: Taking taylor expansion of lambda1 in lambda2 92.327 * [backup-simplify]: Simplify lambda1 into lambda1 92.327 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 92.327 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 92.327 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 92.327 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 92.327 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 92.328 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 92.328 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1 92.328 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1 92.328 * [taylor]: Taking taylor expansion of 1/3 in phi1 92.328 * [backup-simplify]: Simplify 1/3 into 1/3 92.328 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1 92.328 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 92.328 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 92.328 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 92.328 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 92.328 * [taylor]: Taking taylor expansion of 1/2 in phi1 92.328 * [backup-simplify]: Simplify 1/2 into 1/2 92.328 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 92.328 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 92.328 * [taylor]: Taking taylor expansion of phi1 in phi1 92.328 * [backup-simplify]: Simplify 0 into 0 92.328 * [backup-simplify]: Simplify 1 into 1 92.329 * [backup-simplify]: Simplify (/ 1 1) into 1 92.329 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 92.329 * [taylor]: Taking taylor expansion of phi2 in phi1 92.329 * [backup-simplify]: Simplify phi2 into phi2 92.329 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 92.329 * [backup-simplify]: Simplify (+ 1 0) into 1 92.330 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 92.330 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.330 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 92.330 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 92.330 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi1 92.330 * [taylor]: Taking taylor expansion of 2 in phi1 92.330 * [backup-simplify]: Simplify 2 into 2 92.330 * [taylor]: Taking taylor expansion of (log lambda1) in phi1 92.330 * [taylor]: Taking taylor expansion of lambda1 in phi1 92.330 * [backup-simplify]: Simplify lambda1 into lambda1 92.330 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 92.331 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 92.331 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 92.331 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 92.331 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 92.331 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 92.332 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi2 92.332 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi2 92.332 * [taylor]: Taking taylor expansion of 1/3 in phi2 92.332 * [backup-simplify]: Simplify 1/3 into 1/3 92.332 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi2 92.332 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2 92.332 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 92.332 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 92.332 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 92.332 * [taylor]: Taking taylor expansion of 1/2 in phi2 92.332 * [backup-simplify]: Simplify 1/2 into 1/2 92.332 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 92.332 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 92.332 * [taylor]: Taking taylor expansion of phi1 in phi2 92.332 * [backup-simplify]: Simplify phi1 into phi1 92.332 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 92.332 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 92.332 * [taylor]: Taking taylor expansion of phi2 in phi2 92.332 * [backup-simplify]: Simplify 0 into 0 92.332 * [backup-simplify]: Simplify 1 into 1 92.333 * [backup-simplify]: Simplify (/ 1 1) into 1 92.333 * [backup-simplify]: Simplify (+ 0 1) into 1 92.333 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 92.334 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.334 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 92.334 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 92.334 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi2 92.334 * [taylor]: Taking taylor expansion of 2 in phi2 92.334 * [backup-simplify]: Simplify 2 into 2 92.334 * [taylor]: Taking taylor expansion of (log lambda1) in phi2 92.334 * [taylor]: Taking taylor expansion of lambda1 in phi2 92.334 * [backup-simplify]: Simplify lambda1 into lambda1 92.334 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 92.334 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 92.334 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 92.335 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 92.335 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 92.335 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 92.336 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 92.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 92.336 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 92.337 * [backup-simplify]: Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2)) 92.337 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 lambda2))) (* (- (/ 1 lambda2)) 1)) into (- (* 2 (/ 1 lambda2))) 92.337 * [backup-simplify]: Simplify (+ 0) into 0 92.337 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 92.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 92.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 92.338 * [backup-simplify]: Simplify (+ 0 0) into 0 92.338 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 92.338 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 92.339 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 92.339 * [backup-simplify]: Simplify (- 0) into 0 92.339 * [backup-simplify]: Simplify (+ 0 0) into 0 92.339 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 92.340 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (- (* 2 (/ 1 lambda2)))) (* 0 1)) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 92.340 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into (/ -2 lambda2) 92.341 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 92.341 * [backup-simplify]: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2))) 92.341 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) 92.341 * [taylor]: Taking taylor expansion of (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) in lambda2 92.341 * [taylor]: Taking taylor expansion of -2/3 in lambda2 92.341 * [backup-simplify]: Simplify -2/3 into -2/3 92.341 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2) in lambda2 92.341 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 92.341 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 92.341 * [taylor]: Taking taylor expansion of 1/3 in lambda2 92.341 * [backup-simplify]: Simplify 1/3 into 1/3 92.341 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 92.341 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 92.341 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 92.341 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 92.341 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 92.341 * [taylor]: Taking taylor expansion of 1/2 in lambda2 92.341 * [backup-simplify]: Simplify 1/2 into 1/2 92.341 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 92.341 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 92.341 * [taylor]: Taking taylor expansion of phi1 in lambda2 92.341 * [backup-simplify]: Simplify phi1 into phi1 92.341 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 92.341 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 92.341 * [taylor]: Taking taylor expansion of phi2 in lambda2 92.341 * [backup-simplify]: Simplify phi2 into phi2 92.341 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 92.341 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 92.342 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 92.342 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.342 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.342 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.342 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 92.342 * [backup-simplify]: Simplify (- 0) into 0 92.342 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.342 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 92.342 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 92.342 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 92.343 * [taylor]: Taking taylor expansion of 2 in lambda2 92.343 * [backup-simplify]: Simplify 2 into 2 92.343 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 92.343 * [taylor]: Taking taylor expansion of lambda1 in lambda2 92.343 * [backup-simplify]: Simplify lambda1 into lambda1 92.343 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 92.343 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 92.343 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 92.343 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 92.343 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 92.343 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 92.343 * [taylor]: Taking taylor expansion of lambda2 in lambda2 92.343 * [backup-simplify]: Simplify 0 into 0 92.343 * [backup-simplify]: Simplify 1 into 1 92.343 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 92.344 * [backup-simplify]: Simplify (+ 0) into 0 92.344 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 92.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 92.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 92.344 * [backup-simplify]: Simplify (+ 0 0) into 0 92.345 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 92.345 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 92.346 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 92.346 * [backup-simplify]: Simplify (- 0) into 0 92.346 * [backup-simplify]: Simplify (+ 0 0) into 0 92.346 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 92.347 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 92.347 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 92.348 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 92.348 * [backup-simplify]: Simplify (- 0) into 0 92.348 * [backup-simplify]: Simplify (+ 0 0) into 0 92.348 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 92.349 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 92.350 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 92.350 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))))) into 0 92.350 * [taylor]: Taking taylor expansion of 0 in phi1 92.350 * [backup-simplify]: Simplify 0 into 0 92.350 * [taylor]: Taking taylor expansion of 0 in phi2 92.350 * [backup-simplify]: Simplify 0 into 0 92.350 * [backup-simplify]: Simplify 0 into 0 92.351 * [backup-simplify]: Simplify (+ 0) into 0 92.351 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 92.351 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 92.351 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 92.353 * [backup-simplify]: Simplify (+ 0 0) into 0 92.353 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 92.354 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 92.354 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 92.354 * [backup-simplify]: Simplify (- 0) into 0 92.354 * [backup-simplify]: Simplify (+ 0 0) into 0 92.355 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 92.355 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 92.356 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 92.356 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 92.356 * [backup-simplify]: Simplify (- 0) into 0 92.357 * [backup-simplify]: Simplify (+ 0 0) into 0 92.357 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 92.358 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 92.358 * [taylor]: Taking taylor expansion of 0 in phi1 92.358 * [backup-simplify]: Simplify 0 into 0 92.358 * [taylor]: Taking taylor expansion of 0 in phi2 92.358 * [backup-simplify]: Simplify 0 into 0 92.358 * [backup-simplify]: Simplify 0 into 0 92.358 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 92.358 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 92.359 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 92.359 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 92.359 * [backup-simplify]: Simplify (- 0) into 0 92.360 * [backup-simplify]: Simplify (+ 0 0) into 0 92.360 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 92.361 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 92.361 * [taylor]: Taking taylor expansion of 0 in phi2 92.361 * [backup-simplify]: Simplify 0 into 0 92.361 * [backup-simplify]: Simplify 0 into 0 92.361 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 92.361 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 92.362 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 92.362 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 92.363 * [backup-simplify]: Simplify (- 0) into 0 92.363 * [backup-simplify]: Simplify (+ 0 0) into 0 92.363 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 92.364 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 92.364 * [backup-simplify]: Simplify 0 into 0 92.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 92.365 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 92.365 * [backup-simplify]: Simplify (- 0) into 0 92.365 * [backup-simplify]: Simplify (+ 0 0) into 0 92.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 lambda2)) (- (/ 1 lambda2))) (* 0 1))) into (/ 1 (pow lambda2 2)) 92.367 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 92.368 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 92.368 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 92.368 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 92.369 * [backup-simplify]: Simplify (+ 0 0) into 0 92.370 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 92.370 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 92.371 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 92.371 * [backup-simplify]: Simplify (- 0) into 0 92.372 * [backup-simplify]: Simplify (+ 0 0) into 0 92.372 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 92.373 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 1 (pow lambda2 2))) (+ (* 0 (- (* 2 (/ 1 lambda2)))) (* 0 1))) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 92.374 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into (/ -1 (pow lambda2 2)) 92.375 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 92.376 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into (- (* 1/3 (/ 1 (pow lambda2 2)))) 92.376 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow lambda2 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) 92.376 * [taylor]: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) in lambda2 92.376 * [taylor]: Taking taylor expansion of -1/9 in lambda2 92.376 * [backup-simplify]: Simplify -1/9 into -1/9 92.376 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)) in lambda2 92.376 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 92.376 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 92.376 * [taylor]: Taking taylor expansion of 1/3 in lambda2 92.377 * [backup-simplify]: Simplify 1/3 into 1/3 92.377 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 92.377 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 92.377 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 92.377 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 92.377 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 92.377 * [taylor]: Taking taylor expansion of 1/2 in lambda2 92.377 * [backup-simplify]: Simplify 1/2 into 1/2 92.377 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 92.377 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 92.377 * [taylor]: Taking taylor expansion of phi1 in lambda2 92.377 * [backup-simplify]: Simplify phi1 into phi1 92.377 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 92.377 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 92.377 * [taylor]: Taking taylor expansion of phi2 in lambda2 92.377 * [backup-simplify]: Simplify phi2 into phi2 92.377 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 92.377 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 92.377 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 92.377 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.378 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.378 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.378 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 92.378 * [backup-simplify]: Simplify (- 0) into 0 92.378 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.379 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 92.379 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 92.379 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 92.379 * [taylor]: Taking taylor expansion of 2 in lambda2 92.379 * [backup-simplify]: Simplify 2 into 2 92.379 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 92.379 * [taylor]: Taking taylor expansion of lambda1 in lambda2 92.379 * [backup-simplify]: Simplify lambda1 into lambda1 92.379 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 92.379 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 92.379 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 92.380 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 92.380 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 92.380 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 92.380 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 92.380 * [taylor]: Taking taylor expansion of lambda2 in lambda2 92.380 * [backup-simplify]: Simplify 0 into 0 92.380 * [backup-simplify]: Simplify 1 into 1 92.381 * [backup-simplify]: Simplify (* 1 1) into 1 92.381 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 92.381 * [backup-simplify]: Simplify (+ 0) into 0 92.382 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 92.382 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 92.382 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 92.383 * [backup-simplify]: Simplify (+ 0 0) into 0 92.383 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 92.384 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 92.385 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 92.385 * [backup-simplify]: Simplify (- 0) into 0 92.385 * [backup-simplify]: Simplify (+ 0 0) into 0 92.386 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 92.386 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 92.387 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 92.388 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 92.388 * [backup-simplify]: Simplify (- 0) into 0 92.388 * [backup-simplify]: Simplify (+ 0 0) into 0 92.389 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 92.390 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 92.391 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 92.391 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 92.391 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 92.391 * [backup-simplify]: Simplify (+ 0 0) into 0 92.392 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 92.393 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 92.394 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 92.394 * [backup-simplify]: Simplify (- 0) into 0 92.394 * [backup-simplify]: Simplify (+ 0 0) into 0 92.395 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 92.397 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 92.398 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 92.398 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 92.398 * [backup-simplify]: Simplify (- 0) into 0 92.399 * [backup-simplify]: Simplify (+ 0 0) into 0 92.399 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 92.400 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 92.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 92.401 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 92.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 92.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 92.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 92.404 * [backup-simplify]: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0 92.404 * [taylor]: Taking taylor expansion of 0 in phi1 92.404 * [backup-simplify]: Simplify 0 into 0 92.404 * [taylor]: Taking taylor expansion of 0 in phi2 92.404 * [backup-simplify]: Simplify 0 into 0 92.404 * [backup-simplify]: Simplify 0 into 0 92.404 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 92.405 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 92.405 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 92.405 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 92.406 * [backup-simplify]: Simplify (+ 0 0) into 0 92.406 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 92.407 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 92.407 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 92.407 * [backup-simplify]: Simplify (- 0) into 0 92.407 * [backup-simplify]: Simplify (+ 0 0) into 0 92.408 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 92.409 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 92.410 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 92.410 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 92.411 * [backup-simplify]: Simplify (- 0) into 0 92.411 * [backup-simplify]: Simplify (+ 0 0) into 0 92.411 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 92.412 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 92.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 92.414 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0 92.414 * [taylor]: Taking taylor expansion of 0 in phi1 92.414 * [backup-simplify]: Simplify 0 into 0 92.414 * [taylor]: Taking taylor expansion of 0 in phi2 92.414 * [backup-simplify]: Simplify 0 into 0 92.414 * [backup-simplify]: Simplify 0 into 0 92.414 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) 2)) (* 2 (log (/ 1 lambda1)))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log (/ 1 lambda1)))))) 92.415 * [backup-simplify]: Simplify (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) 92.415 * [approximate]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in (lambda1 lambda2 phi1 phi2) around 0 92.415 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in phi2 92.415 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in phi2 92.415 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in phi2 92.415 * [taylor]: Taking taylor expansion of 1/3 in phi2 92.415 * [backup-simplify]: Simplify 1/3 into 1/3 92.415 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in phi2 92.415 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in phi2 92.415 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 92.415 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 92.415 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 92.415 * [taylor]: Taking taylor expansion of -1/2 in phi2 92.415 * [backup-simplify]: Simplify -1/2 into -1/2 92.415 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 92.415 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 92.415 * [taylor]: Taking taylor expansion of phi1 in phi2 92.415 * [backup-simplify]: Simplify phi1 into phi1 92.415 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 92.415 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 92.415 * [taylor]: Taking taylor expansion of phi2 in phi2 92.415 * [backup-simplify]: Simplify 0 into 0 92.415 * [backup-simplify]: Simplify 1 into 1 92.415 * [backup-simplify]: Simplify (/ 1 1) into 1 92.415 * [backup-simplify]: Simplify (+ 0 1) into 1 92.416 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 92.416 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.416 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in phi2 92.416 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi2 92.416 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 92.416 * [taylor]: Taking taylor expansion of lambda2 in phi2 92.416 * [backup-simplify]: Simplify lambda2 into lambda2 92.416 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 92.416 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 92.416 * [taylor]: Taking taylor expansion of lambda1 in phi2 92.416 * [backup-simplify]: Simplify lambda1 into lambda1 92.416 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 92.416 * [backup-simplify]: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1)) 92.416 * [backup-simplify]: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1)) 92.416 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 92.416 * [backup-simplify]: Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (- (/ 1 lambda2) (/ 1 lambda1))) into (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) 92.417 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 92.417 * [backup-simplify]: Simplify (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) 92.417 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) into (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) 92.417 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) 92.417 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in phi1 92.417 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in phi1 92.417 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in phi1 92.417 * [taylor]: Taking taylor expansion of 1/3 in phi1 92.417 * [backup-simplify]: Simplify 1/3 into 1/3 92.417 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in phi1 92.417 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in phi1 92.417 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 92.417 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 92.417 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 92.417 * [taylor]: Taking taylor expansion of -1/2 in phi1 92.417 * [backup-simplify]: Simplify -1/2 into -1/2 92.417 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 92.417 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 92.417 * [taylor]: Taking taylor expansion of phi1 in phi1 92.417 * [backup-simplify]: Simplify 0 into 0 92.417 * [backup-simplify]: Simplify 1 into 1 92.418 * [backup-simplify]: Simplify (/ 1 1) into 1 92.418 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 92.418 * [taylor]: Taking taylor expansion of phi2 in phi1 92.418 * [backup-simplify]: Simplify phi2 into phi2 92.418 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 92.418 * [backup-simplify]: Simplify (+ 1 0) into 1 92.418 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 92.418 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.418 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in phi1 92.419 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi1 92.419 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 92.419 * [taylor]: Taking taylor expansion of lambda2 in phi1 92.419 * [backup-simplify]: Simplify lambda2 into lambda2 92.419 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 92.419 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 92.419 * [taylor]: Taking taylor expansion of lambda1 in phi1 92.419 * [backup-simplify]: Simplify lambda1 into lambda1 92.419 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 92.419 * [backup-simplify]: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1)) 92.419 * [backup-simplify]: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1)) 92.419 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 92.419 * [backup-simplify]: Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (- (/ 1 lambda2) (/ 1 lambda1))) into (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) 92.419 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 92.419 * [backup-simplify]: Simplify (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) 92.420 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) into (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) 92.420 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) 92.420 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in lambda2 92.420 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in lambda2 92.420 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in lambda2 92.420 * [taylor]: Taking taylor expansion of 1/3 in lambda2 92.420 * [backup-simplify]: Simplify 1/3 into 1/3 92.420 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in lambda2 92.420 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in lambda2 92.420 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 92.420 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 92.420 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 92.420 * [taylor]: Taking taylor expansion of -1/2 in lambda2 92.420 * [backup-simplify]: Simplify -1/2 into -1/2 92.420 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 92.420 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 92.420 * [taylor]: Taking taylor expansion of phi1 in lambda2 92.420 * [backup-simplify]: Simplify phi1 into phi1 92.420 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 92.420 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 92.420 * [taylor]: Taking taylor expansion of phi2 in lambda2 92.420 * [backup-simplify]: Simplify phi2 into phi2 92.420 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 92.420 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 92.420 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 92.420 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.420 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.421 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.421 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 92.421 * [backup-simplify]: Simplify (- 0) into 0 92.421 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.421 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in lambda2 92.421 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 92.421 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 92.421 * [taylor]: Taking taylor expansion of lambda2 in lambda2 92.421 * [backup-simplify]: Simplify 0 into 0 92.421 * [backup-simplify]: Simplify 1 into 1 92.421 * [backup-simplify]: Simplify (/ 1 1) into 1 92.421 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 92.421 * [taylor]: Taking taylor expansion of lambda1 in lambda2 92.421 * [backup-simplify]: Simplify lambda1 into lambda1 92.421 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 92.422 * [backup-simplify]: Simplify (+ 1 0) into 1 92.422 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 92.422 * [backup-simplify]: Simplify (* 1 1) into 1 92.422 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 92.422 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 92.423 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))) 92.423 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) 92.423 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 92.423 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in lambda1 92.423 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in lambda1 92.423 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in lambda1 92.423 * [taylor]: Taking taylor expansion of 1/3 in lambda1 92.423 * [backup-simplify]: Simplify 1/3 into 1/3 92.423 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in lambda1 92.423 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in lambda1 92.423 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 92.423 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 92.423 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 92.423 * [taylor]: Taking taylor expansion of -1/2 in lambda1 92.423 * [backup-simplify]: Simplify -1/2 into -1/2 92.423 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 92.423 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 92.423 * [taylor]: Taking taylor expansion of phi1 in lambda1 92.423 * [backup-simplify]: Simplify phi1 into phi1 92.423 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 92.423 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 92.423 * [taylor]: Taking taylor expansion of phi2 in lambda1 92.423 * [backup-simplify]: Simplify phi2 into phi2 92.423 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 92.423 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 92.424 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 92.424 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.424 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.424 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.424 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 92.424 * [backup-simplify]: Simplify (- 0) into 0 92.424 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.424 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in lambda1 92.424 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 92.424 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 92.424 * [taylor]: Taking taylor expansion of lambda2 in lambda1 92.424 * [backup-simplify]: Simplify lambda2 into lambda2 92.424 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 92.424 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 92.424 * [taylor]: Taking taylor expansion of lambda1 in lambda1 92.424 * [backup-simplify]: Simplify 0 into 0 92.425 * [backup-simplify]: Simplify 1 into 1 92.425 * [backup-simplify]: Simplify (/ 1 1) into 1 92.425 * [backup-simplify]: Simplify (- 1) into -1 92.426 * [backup-simplify]: Simplify (+ 0 -1) into -1 92.426 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 92.426 * [backup-simplify]: Simplify (* -1 -1) into 1 92.427 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 92.427 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 92.427 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 92.428 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 92.428 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 92.428 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in lambda1 92.428 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in lambda1 92.428 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in lambda1 92.428 * [taylor]: Taking taylor expansion of 1/3 in lambda1 92.428 * [backup-simplify]: Simplify 1/3 into 1/3 92.428 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in lambda1 92.428 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in lambda1 92.428 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 92.428 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 92.428 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 92.428 * [taylor]: Taking taylor expansion of -1/2 in lambda1 92.428 * [backup-simplify]: Simplify -1/2 into -1/2 92.428 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 92.428 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 92.428 * [taylor]: Taking taylor expansion of phi1 in lambda1 92.428 * [backup-simplify]: Simplify phi1 into phi1 92.428 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 92.428 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 92.428 * [taylor]: Taking taylor expansion of phi2 in lambda1 92.428 * [backup-simplify]: Simplify phi2 into phi2 92.428 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 92.429 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 92.429 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 92.429 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.429 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.429 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.429 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 92.430 * [backup-simplify]: Simplify (- 0) into 0 92.430 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.430 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in lambda1 92.430 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 92.430 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 92.430 * [taylor]: Taking taylor expansion of lambda2 in lambda1 92.430 * [backup-simplify]: Simplify lambda2 into lambda2 92.430 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 92.430 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 92.430 * [taylor]: Taking taylor expansion of lambda1 in lambda1 92.430 * [backup-simplify]: Simplify 0 into 0 92.430 * [backup-simplify]: Simplify 1 into 1 92.431 * [backup-simplify]: Simplify (/ 1 1) into 1 92.431 * [backup-simplify]: Simplify (- 1) into -1 92.432 * [backup-simplify]: Simplify (+ 0 -1) into -1 92.432 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 92.432 * [backup-simplify]: Simplify (* -1 -1) into 1 92.432 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 92.433 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 92.433 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 92.434 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 92.434 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 92.434 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 92.434 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 92.434 * [taylor]: Taking taylor expansion of 1/3 in lambda2 92.434 * [backup-simplify]: Simplify 1/3 into 1/3 92.434 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 92.434 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 92.434 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 92.434 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 92.434 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 92.434 * [taylor]: Taking taylor expansion of -1/2 in lambda2 92.434 * [backup-simplify]: Simplify -1/2 into -1/2 92.434 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 92.434 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 92.434 * [taylor]: Taking taylor expansion of phi1 in lambda2 92.434 * [backup-simplify]: Simplify phi1 into phi1 92.434 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 92.434 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 92.434 * [taylor]: Taking taylor expansion of phi2 in lambda2 92.434 * [backup-simplify]: Simplify phi2 into phi2 92.435 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 92.435 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 92.435 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 92.435 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.435 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.435 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.435 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 92.436 * [backup-simplify]: Simplify (- 0) into 0 92.436 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.436 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 92.437 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 92.437 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 92.437 * [taylor]: Taking taylor expansion of 2 in lambda2 92.437 * [backup-simplify]: Simplify 2 into 2 92.437 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 92.437 * [taylor]: Taking taylor expansion of lambda1 in lambda2 92.437 * [backup-simplify]: Simplify lambda1 into lambda1 92.437 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 92.437 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 92.437 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 92.437 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 92.437 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 92.438 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 92.438 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1 92.438 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1 92.438 * [taylor]: Taking taylor expansion of 1/3 in phi1 92.438 * [backup-simplify]: Simplify 1/3 into 1/3 92.438 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1 92.438 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 92.438 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 92.438 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 92.438 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 92.438 * [taylor]: Taking taylor expansion of -1/2 in phi1 92.438 * [backup-simplify]: Simplify -1/2 into -1/2 92.438 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 92.438 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 92.438 * [taylor]: Taking taylor expansion of phi1 in phi1 92.438 * [backup-simplify]: Simplify 0 into 0 92.438 * [backup-simplify]: Simplify 1 into 1 92.439 * [backup-simplify]: Simplify (/ 1 1) into 1 92.439 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 92.439 * [taylor]: Taking taylor expansion of phi2 in phi1 92.439 * [backup-simplify]: Simplify phi2 into phi2 92.439 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 92.439 * [backup-simplify]: Simplify (+ 1 0) into 1 92.440 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 92.440 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.440 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 92.440 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 92.440 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi1 92.440 * [taylor]: Taking taylor expansion of 2 in phi1 92.440 * [backup-simplify]: Simplify 2 into 2 92.440 * [taylor]: Taking taylor expansion of (log lambda1) in phi1 92.440 * [taylor]: Taking taylor expansion of lambda1 in phi1 92.440 * [backup-simplify]: Simplify lambda1 into lambda1 92.440 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 92.441 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 92.441 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 92.441 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 92.441 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 92.441 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 92.441 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi2 92.442 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi2 92.442 * [taylor]: Taking taylor expansion of 1/3 in phi2 92.442 * [backup-simplify]: Simplify 1/3 into 1/3 92.442 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi2 92.442 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2 92.442 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 92.442 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 92.442 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 92.442 * [taylor]: Taking taylor expansion of -1/2 in phi2 92.442 * [backup-simplify]: Simplify -1/2 into -1/2 92.442 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 92.442 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 92.442 * [taylor]: Taking taylor expansion of phi1 in phi2 92.442 * [backup-simplify]: Simplify phi1 into phi1 92.442 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 92.442 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 92.442 * [taylor]: Taking taylor expansion of phi2 in phi2 92.442 * [backup-simplify]: Simplify 0 into 0 92.442 * [backup-simplify]: Simplify 1 into 1 92.442 * [backup-simplify]: Simplify (/ 1 1) into 1 92.443 * [backup-simplify]: Simplify (+ 0 1) into 1 92.443 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 92.443 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.444 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 92.444 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 92.444 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi2 92.444 * [taylor]: Taking taylor expansion of 2 in phi2 92.444 * [backup-simplify]: Simplify 2 into 2 92.444 * [taylor]: Taking taylor expansion of (log lambda1) in phi2 92.444 * [taylor]: Taking taylor expansion of lambda1 in phi2 92.444 * [backup-simplify]: Simplify lambda1 into lambda1 92.444 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 92.444 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 92.444 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 92.445 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 92.445 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 92.445 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 92.445 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 92.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 92.447 * [backup-simplify]: Simplify (- 0) into 0 92.447 * [backup-simplify]: Simplify (+ (/ 1 lambda2) 0) into (/ 1 lambda2) 92.447 * [backup-simplify]: Simplify (+ (* -1 (/ 1 lambda2)) (* (/ 1 lambda2) -1)) into (- (* 2 (/ 1 lambda2))) 92.447 * [backup-simplify]: Simplify (+ 0) into 0 92.448 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 92.448 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 92.448 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 92.449 * [backup-simplify]: Simplify (+ 0 0) into 0 92.449 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 92.450 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 92.450 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 92.451 * [backup-simplify]: Simplify (- 0) into 0 92.451 * [backup-simplify]: Simplify (+ 0 0) into 0 92.451 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 92.452 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (- (* 2 (/ 1 lambda2)))) (* 0 1)) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 92.453 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into (/ -2 lambda2) 92.454 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 92.454 * [backup-simplify]: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2))) 92.454 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) 92.454 * [taylor]: Taking taylor expansion of (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) in lambda2 92.454 * [taylor]: Taking taylor expansion of -2/3 in lambda2 92.455 * [backup-simplify]: Simplify -2/3 into -2/3 92.455 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2) in lambda2 92.455 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 92.455 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 92.455 * [taylor]: Taking taylor expansion of 1/3 in lambda2 92.455 * [backup-simplify]: Simplify 1/3 into 1/3 92.455 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 92.455 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 92.455 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 92.455 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 92.455 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 92.455 * [taylor]: Taking taylor expansion of -1/2 in lambda2 92.455 * [backup-simplify]: Simplify -1/2 into -1/2 92.455 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 92.455 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 92.455 * [taylor]: Taking taylor expansion of phi1 in lambda2 92.455 * [backup-simplify]: Simplify phi1 into phi1 92.455 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 92.455 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 92.455 * [taylor]: Taking taylor expansion of phi2 in lambda2 92.455 * [backup-simplify]: Simplify phi2 into phi2 92.455 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 92.455 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 92.455 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 92.455 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.456 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.456 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.456 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 92.457 * [backup-simplify]: Simplify (- 0) into 0 92.457 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.457 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 92.457 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 92.457 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 92.457 * [taylor]: Taking taylor expansion of 2 in lambda2 92.457 * [backup-simplify]: Simplify 2 into 2 92.457 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 92.457 * [taylor]: Taking taylor expansion of lambda1 in lambda2 92.457 * [backup-simplify]: Simplify lambda1 into lambda1 92.457 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 92.458 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 92.458 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 92.458 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 92.458 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 92.458 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 92.458 * [taylor]: Taking taylor expansion of lambda2 in lambda2 92.458 * [backup-simplify]: Simplify 0 into 0 92.458 * [backup-simplify]: Simplify 1 into 1 92.459 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 92.459 * [backup-simplify]: Simplify (+ 0) into 0 92.460 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 92.460 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 92.460 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 92.460 * [backup-simplify]: Simplify (+ 0 0) into 0 92.461 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 92.461 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 92.461 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 92.462 * [backup-simplify]: Simplify (- 0) into 0 92.462 * [backup-simplify]: Simplify (+ 0 0) into 0 92.462 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 92.463 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 92.463 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 92.463 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 92.464 * [backup-simplify]: Simplify (- 0) into 0 92.465 * [backup-simplify]: Simplify (+ 0 0) into 0 92.466 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 92.467 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 92.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 92.468 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))))) into 0 92.468 * [taylor]: Taking taylor expansion of 0 in phi1 92.468 * [backup-simplify]: Simplify 0 into 0 92.468 * [taylor]: Taking taylor expansion of 0 in phi2 92.468 * [backup-simplify]: Simplify 0 into 0 92.468 * [backup-simplify]: Simplify 0 into 0 92.468 * [backup-simplify]: Simplify (+ 0) into 0 92.469 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 92.469 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 92.469 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 92.469 * [backup-simplify]: Simplify (+ 0 0) into 0 92.469 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 92.470 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 92.470 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 92.470 * [backup-simplify]: Simplify (- 0) into 0 92.470 * [backup-simplify]: Simplify (+ 0 0) into 0 92.471 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 92.471 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 92.472 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 92.472 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 92.472 * [backup-simplify]: Simplify (- 0) into 0 92.472 * [backup-simplify]: Simplify (+ 0 0) into 0 92.473 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 92.473 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 92.473 * [taylor]: Taking taylor expansion of 0 in phi1 92.473 * [backup-simplify]: Simplify 0 into 0 92.474 * [taylor]: Taking taylor expansion of 0 in phi2 92.474 * [backup-simplify]: Simplify 0 into 0 92.474 * [backup-simplify]: Simplify 0 into 0 92.474 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 92.474 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 92.475 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 92.475 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 92.475 * [backup-simplify]: Simplify (- 0) into 0 92.475 * [backup-simplify]: Simplify (+ 0 0) into 0 92.476 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 92.476 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 92.477 * [taylor]: Taking taylor expansion of 0 in phi2 92.477 * [backup-simplify]: Simplify 0 into 0 92.477 * [backup-simplify]: Simplify 0 into 0 92.477 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 92.477 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 92.478 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 92.478 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 92.478 * [backup-simplify]: Simplify (- 0) into 0 92.478 * [backup-simplify]: Simplify (+ 0 0) into 0 92.479 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 92.480 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 92.480 * [backup-simplify]: Simplify 0 into 0 92.481 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 92.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 92.482 * [backup-simplify]: Simplify (- 0) into 0 92.482 * [backup-simplify]: Simplify (+ 0 0) into 0 92.482 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 lambda2) (/ 1 lambda2)) (* 0 -1))) into (/ 1 (pow lambda2 2)) 92.483 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 92.483 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 92.483 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 92.484 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 92.484 * [backup-simplify]: Simplify (+ 0 0) into 0 92.484 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 92.485 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 92.485 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 92.485 * [backup-simplify]: Simplify (- 0) into 0 92.486 * [backup-simplify]: Simplify (+ 0 0) into 0 92.486 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 92.487 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 1 (pow lambda2 2))) (+ (* 0 (- (* 2 (/ 1 lambda2)))) (* 0 1))) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 92.487 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into (/ -1 (pow lambda2 2)) 92.488 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 92.488 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into (- (* 1/3 (/ 1 (pow lambda2 2)))) 92.488 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow lambda2 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) 92.488 * [taylor]: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) in lambda2 92.488 * [taylor]: Taking taylor expansion of -1/9 in lambda2 92.488 * [backup-simplify]: Simplify -1/9 into -1/9 92.488 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)) in lambda2 92.488 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 92.488 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 92.488 * [taylor]: Taking taylor expansion of 1/3 in lambda2 92.488 * [backup-simplify]: Simplify 1/3 into 1/3 92.488 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 92.488 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 92.488 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 92.489 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 92.489 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 92.489 * [taylor]: Taking taylor expansion of -1/2 in lambda2 92.489 * [backup-simplify]: Simplify -1/2 into -1/2 92.489 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 92.489 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 92.489 * [taylor]: Taking taylor expansion of phi1 in lambda2 92.489 * [backup-simplify]: Simplify phi1 into phi1 92.489 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 92.489 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 92.489 * [taylor]: Taking taylor expansion of phi2 in lambda2 92.489 * [backup-simplify]: Simplify phi2 into phi2 92.489 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 92.489 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 92.489 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 92.489 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.489 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.489 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.490 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 92.490 * [backup-simplify]: Simplify (- 0) into 0 92.490 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 92.490 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 92.491 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 92.491 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 92.491 * [taylor]: Taking taylor expansion of 2 in lambda2 92.491 * [backup-simplify]: Simplify 2 into 2 92.491 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 92.491 * [taylor]: Taking taylor expansion of lambda1 in lambda2 92.491 * [backup-simplify]: Simplify lambda1 into lambda1 92.491 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 92.491 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 92.491 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 92.491 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 92.491 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 92.492 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 92.492 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 92.492 * [taylor]: Taking taylor expansion of lambda2 in lambda2 92.492 * [backup-simplify]: Simplify 0 into 0 92.492 * [backup-simplify]: Simplify 1 into 1 92.492 * [backup-simplify]: Simplify (* 1 1) into 1 92.492 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 92.493 * [backup-simplify]: Simplify (+ 0) into 0 92.493 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 92.493 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 92.493 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 92.494 * [backup-simplify]: Simplify (+ 0 0) into 0 92.494 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 92.495 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 92.495 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 92.496 * [backup-simplify]: Simplify (- 0) into 0 92.496 * [backup-simplify]: Simplify (+ 0 0) into 0 92.496 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 92.497 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 92.498 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 92.498 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 92.499 * [backup-simplify]: Simplify (- 0) into 0 92.499 * [backup-simplify]: Simplify (+ 0 0) into 0 92.500 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 92.500 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 92.501 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 92.501 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 92.501 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 92.502 * [backup-simplify]: Simplify (+ 0 0) into 0 92.503 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 92.503 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 92.504 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 92.504 * [backup-simplify]: Simplify (- 0) into 0 92.505 * [backup-simplify]: Simplify (+ 0 0) into 0 92.505 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 92.507 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 92.509 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 92.509 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 92.510 * [backup-simplify]: Simplify (- 0) into 0 92.510 * [backup-simplify]: Simplify (+ 0 0) into 0 92.511 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 92.512 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 92.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 92.514 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 92.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 92.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 92.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 92.518 * [backup-simplify]: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0 92.518 * [taylor]: Taking taylor expansion of 0 in phi1 92.518 * [backup-simplify]: Simplify 0 into 0 92.518 * [taylor]: Taking taylor expansion of 0 in phi2 92.519 * [backup-simplify]: Simplify 0 into 0 92.519 * [backup-simplify]: Simplify 0 into 0 92.519 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 92.520 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 92.520 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 92.521 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 92.521 * [backup-simplify]: Simplify (+ 0 0) into 0 92.522 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 92.522 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 92.523 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 92.523 * [backup-simplify]: Simplify (- 0) into 0 92.524 * [backup-simplify]: Simplify (+ 0 0) into 0 92.524 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 92.526 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 92.528 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 92.528 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 92.529 * [backup-simplify]: Simplify (- 0) into 0 92.529 * [backup-simplify]: Simplify (+ 0 0) into 0 92.530 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 92.532 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 92.533 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 92.534 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0 92.534 * [taylor]: Taking taylor expansion of 0 in phi1 92.534 * [backup-simplify]: Simplify 0 into 0 92.534 * [taylor]: Taking taylor expansion of 0 in phi2 92.534 * [backup-simplify]: Simplify 0 into 0 92.534 * [backup-simplify]: Simplify 0 into 0 92.535 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) 2)) (* 2 (log (/ 1 (- lambda1))))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log (/ -1 lambda1)))))) 92.535 * * * [progress]: simplifying candidates 92.535 * * * * [progress]: [ 1 / 5906 ] simplifiying candidate # 92.535 * * * * [progress]: [ 2 / 5906 ] simplifiying candidate # 92.535 * * * * [progress]: [ 3 / 5906 ] simplifiying candidate # 92.535 * * * * [progress]: [ 4 / 5906 ] simplifiying candidate # 92.535 * * * * [progress]: [ 5 / 5906 ] simplifiying candidate # 92.535 * * * * [progress]: [ 6 / 5906 ] simplifiying candidate # 92.536 * * * * [progress]: [ 7 / 5906 ] simplifiying candidate # 92.536 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) 92.536 * * [simplify]: iters left: 6 (20 enodes) 92.545 * * [simplify]: iters left: 5 (76 enodes) 92.566 * * [simplify]: iters left: 4 (127 enodes) 92.620 * * [simplify]: iters left: 3 (334 enodes) 92.798 * * [simplify]: Extracting #0: cost 1 inf + 0 92.798 * * [simplify]: Extracting #1: cost 4 inf + 0 92.798 * * [simplify]: Extracting #2: cost 7 inf + 0 92.798 * * [simplify]: Extracting #3: cost 24 inf + 0 92.798 * * [simplify]: Extracting #4: cost 150 inf + 0 92.799 * * [simplify]: Extracting #5: cost 212 inf + 46 92.800 * * [simplify]: Extracting #6: cost 214 inf + 1524 92.806 * * [simplify]: Extracting #7: cost 141 inf + 14917 92.828 * * [simplify]: Extracting #8: cost 12 inf + 56183 92.855 * * [simplify]: Extracting #9: cost 1 inf + 59986 92.884 * * [simplify]: Extracting #10: cost 0 inf + 60542 92.916 * [simplify]: Simplified to (fabs (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) 92.916 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (fabs (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (cbrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))))) 92.916 * * * * [progress]: [ 8 / 5906 ] simplifiying candidate # 92.917 * [simplify]: Simplifying (sqrt (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))) 92.917 * * [simplify]: iters left: 6 (19 enodes) 92.925 * * [simplify]: iters left: 5 (72 enodes) 92.938 * * [simplify]: iters left: 4 (123 enodes) 92.974 * * [simplify]: iters left: 3 (330 enodes) 93.125 * * [simplify]: Extracting #0: cost 1 inf + 0 93.125 * * [simplify]: Extracting #1: cost 3 inf + 0 93.125 * * [simplify]: Extracting #2: cost 5 inf + 0 93.125 * * [simplify]: Extracting #3: cost 21 inf + 0 93.126 * * [simplify]: Extracting #4: cost 149 inf + 0 93.127 * * [simplify]: Extracting #5: cost 213 inf + 46 93.129 * * [simplify]: Extracting #6: cost 217 inf + 1322 93.137 * * [simplify]: Extracting #7: cost 121 inf + 20900 93.160 * * [simplify]: Extracting #8: cost 13 inf + 55055 93.187 * * [simplify]: Extracting #9: cost 0 inf + 60652 93.214 * [simplify]: Simplified to (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) 93.214 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))))) 93.214 * * * * [progress]: [ 9 / 5906 ] simplifiying candidate # 93.215 * [simplify]: Simplifying (sqrt 1) 93.215 * * [simplify]: iters left: 1 (2 enodes) 93.218 * * [simplify]: Extracting #0: cost 1 inf + 0 93.218 * * [simplify]: Extracting #1: cost 0 inf + 1 93.218 * [simplify]: Simplified to 1 93.218 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* 1 (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))) 93.218 * * * * [progress]: [ 10 / 5906 ] simplifiying candidate # 93.219 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 93.219 * * [simplify]: iters left: 6 (40 enodes) 93.242 * * [simplify]: iters left: 5 (189 enodes) 93.300 * * [simplify]: Extracting #0: cost 1 inf + 0 93.301 * * [simplify]: Extracting #1: cost 3 inf + 0 93.301 * * [simplify]: Extracting #2: cost 6 inf + 0 93.301 * * [simplify]: Extracting #3: cost 44 inf + 0 93.301 * * [simplify]: Extracting #4: cost 103 inf + 0 93.302 * * [simplify]: Extracting #5: cost 154 inf + 1 93.303 * * [simplify]: Extracting #6: cost 208 inf + 632 93.305 * * [simplify]: Extracting #7: cost 200 inf + 4043 93.312 * * [simplify]: Extracting #8: cost 107 inf + 27728 93.335 * * [simplify]: Extracting #9: cost 23 inf + 64138 93.369 * * [simplify]: Extracting #10: cost 2 inf + 79552 93.386 * * [simplify]: Extracting #11: cost 0 inf + 79852 93.403 * * [simplify]: Extracting #12: cost 0 inf + 79551 93.424 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) 93.424 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 93.426 * * * * [progress]: [ 11 / 5906 ] simplifiying candidate # 93.426 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 93.427 * * [simplify]: iters left: 6 (41 enodes) 93.448 * * [simplify]: iters left: 5 (198 enodes) 93.535 * * [simplify]: Extracting #0: cost 1 inf + 0 93.535 * * [simplify]: Extracting #1: cost 3 inf + 0 93.535 * * [simplify]: Extracting #2: cost 6 inf + 0 93.535 * * [simplify]: Extracting #3: cost 48 inf + 0 93.536 * * [simplify]: Extracting #4: cost 126 inf + 0 93.537 * * [simplify]: Extracting #5: cost 168 inf + 45 93.538 * * [simplify]: Extracting #6: cost 208 inf + 2052 93.541 * * [simplify]: Extracting #7: cost 177 inf + 10874 93.548 * * [simplify]: Extracting #8: cost 107 inf + 30647 93.560 * * [simplify]: Extracting #9: cost 37 inf + 59040 93.576 * * [simplify]: Extracting #10: cost 18 inf + 72586 93.607 * * [simplify]: Extracting #11: cost 3 inf + 80988 93.639 * * [simplify]: Extracting #12: cost 0 inf + 81288 93.670 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) 93.671 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 93.671 * * * * [progress]: [ 12 / 5906 ] simplifiying candidate # 93.671 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 93.672 * * [simplify]: iters left: 6 (41 enodes) 93.683 * * [simplify]: iters left: 5 (198 enodes) 93.747 * * [simplify]: Extracting #0: cost 1 inf + 0 93.747 * * [simplify]: Extracting #1: cost 3 inf + 0 93.747 * * [simplify]: Extracting #2: cost 6 inf + 0 93.747 * * [simplify]: Extracting #3: cost 50 inf + 0 93.747 * * [simplify]: Extracting #4: cost 124 inf + 0 93.748 * * [simplify]: Extracting #5: cost 164 inf + 45 93.750 * * [simplify]: Extracting #6: cost 204 inf + 2482 93.753 * * [simplify]: Extracting #7: cost 170 inf + 11939 93.760 * * [simplify]: Extracting #8: cost 117 inf + 19457 93.779 * * [simplify]: Extracting #9: cost 57 inf + 44757 93.809 * * [simplify]: Extracting #10: cost 2 inf + 79635 93.842 * * [simplify]: Extracting #11: cost 0 inf + 79080 93.875 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) 93.875 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 93.876 * * * * [progress]: [ 13 / 5906 ] simplifiying candidate # 93.877 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 93.877 * * [simplify]: iters left: 6 (35 enodes) 93.895 * * [simplify]: iters left: 5 (162 enodes) 93.936 * * [simplify]: iters left: 4 (440 enodes) 94.221 * * [simplify]: Extracting #0: cost 1 inf + 0 94.221 * * [simplify]: Extracting #1: cost 3 inf + 0 94.221 * * [simplify]: Extracting #2: cost 16 inf + 0 94.221 * * [simplify]: Extracting #3: cost 130 inf + 0 94.222 * * [simplify]: Extracting #4: cost 328 inf + 86 94.224 * * [simplify]: Extracting #5: cost 404 inf + 5935 94.229 * * [simplify]: Extracting #6: cost 452 inf + 17591 94.237 * * [simplify]: Extracting #7: cost 332 inf + 41472 94.274 * * [simplify]: Extracting #8: cost 166 inf + 108446 94.350 * * [simplify]: Extracting #9: cost 21 inf + 178355 94.406 * * [simplify]: Extracting #10: cost 0 inf + 187933 94.492 * * [simplify]: Extracting #11: cost 0 inf + 187893 94.554 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ phi2 phi1))))) 94.554 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 94.555 * * * * [progress]: [ 14 / 5906 ] simplifiying candidate # 94.555 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 94.555 * * [simplify]: iters left: 6 (40 enodes) 94.566 * * [simplify]: iters left: 5 (190 enodes) 94.626 * * [simplify]: iters left: 4 (494 enodes) 94.864 * * [simplify]: Extracting #0: cost 1 inf + 0 94.864 * * [simplify]: Extracting #1: cost 3 inf + 0 94.864 * * [simplify]: Extracting #2: cost 18 inf + 0 94.865 * * [simplify]: Extracting #3: cost 128 inf + 0 94.867 * * [simplify]: Extracting #4: cost 335 inf + 85 94.871 * * [simplify]: Extracting #5: cost 469 inf + 2271 94.885 * * [simplify]: Extracting #6: cost 488 inf + 23257 94.900 * * [simplify]: Extracting #7: cost 271 inf + 88055 94.943 * * [simplify]: Extracting #8: cost 93 inf + 162417 94.988 * * [simplify]: Extracting #9: cost 18 inf + 209821 95.049 * * [simplify]: Extracting #10: cost 0 inf + 223082 95.131 * * [simplify]: Extracting #11: cost 0 inf + 223042 95.226 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))))) 95.226 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 95.226 * * * * [progress]: [ 15 / 5906 ] simplifiying candidate # 95.227 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 95.227 * * [simplify]: iters left: 6 (35 enodes) 95.236 * * [simplify]: iters left: 5 (162 enodes) 95.274 * * [simplify]: iters left: 4 (421 enodes) 95.470 * * [simplify]: Extracting #0: cost 1 inf + 0 95.470 * * [simplify]: Extracting #1: cost 3 inf + 0 95.470 * * [simplify]: Extracting #2: cost 13 inf + 0 95.470 * * [simplify]: Extracting #3: cost 90 inf + 0 95.471 * * [simplify]: Extracting #4: cost 257 inf + 85 95.472 * * [simplify]: Extracting #5: cost 382 inf + 2530 95.476 * * [simplify]: Extracting #6: cost 442 inf + 11881 95.484 * * [simplify]: Extracting #7: cost 307 inf + 41637 95.506 * * [simplify]: Extracting #8: cost 146 inf + 96442 95.568 * * [simplify]: Extracting #9: cost 29 inf + 153174 95.608 * * [simplify]: Extracting #10: cost 1 inf + 168495 95.669 * * [simplify]: Extracting #11: cost 0 inf + 169360 95.716 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ phi2 phi1) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) 95.716 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ phi2 phi1) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 95.717 * * * * [progress]: [ 16 / 5906 ] simplifiying candidate # 95.717 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 95.717 * * [simplify]: iters left: 6 (40 enodes) 95.729 * * [simplify]: iters left: 5 (190 enodes) 95.809 * * [simplify]: iters left: 4 (494 enodes) 96.025 * * [simplify]: Extracting #0: cost 1 inf + 0 96.025 * * [simplify]: Extracting #1: cost 3 inf + 0 96.025 * * [simplify]: Extracting #2: cost 18 inf + 0 96.025 * * [simplify]: Extracting #3: cost 112 inf + 0 96.026 * * [simplify]: Extracting #4: cost 298 inf + 44 96.027 * * [simplify]: Extracting #5: cost 464 inf + 2168 96.031 * * [simplify]: Extracting #6: cost 516 inf + 14373 96.043 * * [simplify]: Extracting #7: cost 313 inf + 73993 96.091 * * [simplify]: Extracting #8: cost 81 inf + 177858 96.151 * * [simplify]: Extracting #9: cost 1 inf + 221033 96.232 * * [simplify]: Extracting #10: cost 0 inf + 221637 96.293 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) 96.293 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 96.294 * * * * [progress]: [ 17 / 5906 ] simplifiying candidate # 96.294 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 96.294 * * [simplify]: iters left: 6 (35 enodes) 96.303 * * [simplify]: iters left: 5 (162 enodes) 96.358 * * [simplify]: iters left: 4 (421 enodes) 96.578 * * [simplify]: Extracting #0: cost 1 inf + 0 96.578 * * [simplify]: Extracting #1: cost 3 inf + 0 96.578 * * [simplify]: Extracting #2: cost 13 inf + 0 96.578 * * [simplify]: Extracting #3: cost 87 inf + 0 96.579 * * [simplify]: Extracting #4: cost 261 inf + 209 96.581 * * [simplify]: Extracting #5: cost 376 inf + 3988 96.584 * * [simplify]: Extracting #6: cost 450 inf + 10800 96.594 * * [simplify]: Extracting #7: cost 285 inf + 51049 96.633 * * [simplify]: Extracting #8: cost 98 inf + 124352 96.679 * * [simplify]: Extracting #9: cost 12 inf + 165106 96.733 * * [simplify]: Extracting #10: cost 0 inf + 170850 96.791 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ phi2 phi1) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) 96.791 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ phi2 phi1) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 96.792 * * * * [progress]: [ 18 / 5906 ] simplifiying candidate # 96.792 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 96.792 * * [simplify]: iters left: 6 (47 enodes) 96.806 * * [simplify]: iters left: 5 (231 enodes) 96.863 * * [simplify]: Extracting #0: cost 1 inf + 0 96.864 * * [simplify]: Extracting #1: cost 3 inf + 0 96.864 * * [simplify]: Extracting #2: cost 6 inf + 0 96.864 * * [simplify]: Extracting #3: cost 52 inf + 0 96.864 * * [simplify]: Extracting #4: cost 118 inf + 0 96.865 * * [simplify]: Extracting #5: cost 189 inf + 0 96.866 * * [simplify]: Extracting #6: cost 270 inf + 1136 96.870 * * [simplify]: Extracting #7: cost 238 inf + 9719 96.877 * * [simplify]: Extracting #8: cost 144 inf + 27155 96.892 * * [simplify]: Extracting #9: cost 82 inf + 47152 96.908 * * [simplify]: Extracting #10: cost 42 inf + 67451 96.927 * * [simplify]: Extracting #11: cost 7 inf + 99406 96.970 * * [simplify]: Extracting #12: cost 0 inf + 108141 97.015 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 97.015 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 97.017 * * * * [progress]: [ 19 / 5906 ] simplifiying candidate # 97.017 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 97.018 * * [simplify]: iters left: 6 (48 enodes) 97.044 * * [simplify]: iters left: 5 (240 enodes) 97.148 * * [simplify]: Extracting #0: cost 1 inf + 0 97.149 * * [simplify]: Extracting #1: cost 3 inf + 0 97.149 * * [simplify]: Extracting #2: cost 6 inf + 0 97.149 * * [simplify]: Extracting #3: cost 56 inf + 0 97.149 * * [simplify]: Extracting #4: cost 141 inf + 0 97.151 * * [simplify]: Extracting #5: cost 200 inf + 249 97.157 * * [simplify]: Extracting #6: cost 259 inf + 3288 97.161 * * [simplify]: Extracting #7: cost 230 inf + 11749 97.170 * * [simplify]: Extracting #8: cost 132 inf + 32416 97.181 * * [simplify]: Extracting #9: cost 56 inf + 63303 97.206 * * [simplify]: Extracting #10: cost 3 inf + 108003 97.252 * * [simplify]: Extracting #11: cost 0 inf + 111598 97.297 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))) 97.297 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 97.298 * * * * [progress]: [ 20 / 5906 ] simplifiying candidate # 97.298 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 97.299 * * [simplify]: iters left: 6 (48 enodes) 97.312 * * [simplify]: iters left: 5 (240 enodes) 97.383 * * [simplify]: Extracting #0: cost 1 inf + 0 97.383 * * [simplify]: Extracting #1: cost 3 inf + 0 97.383 * * [simplify]: Extracting #2: cost 6 inf + 0 97.383 * * [simplify]: Extracting #3: cost 58 inf + 0 97.384 * * [simplify]: Extracting #4: cost 139 inf + 0 97.385 * * [simplify]: Extracting #5: cost 196 inf + 169 97.387 * * [simplify]: Extracting #6: cost 253 inf + 4575 97.392 * * [simplify]: Extracting #7: cost 223 inf + 13340 97.399 * * [simplify]: Extracting #8: cost 141 inf + 29740 97.421 * * [simplify]: Extracting #9: cost 57 inf + 62606 97.453 * * [simplify]: Extracting #10: cost 8 inf + 100070 97.497 * * [simplify]: Extracting #11: cost 1 inf + 107445 97.540 * * [simplify]: Extracting #12: cost 0 inf + 109270 97.566 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 97.566 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 97.567 * * * * [progress]: [ 21 / 5906 ] simplifiying candidate # 97.567 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 97.567 * * [simplify]: iters left: 6 (42 enodes) 97.579 * * [simplify]: iters left: 5 (204 enodes) 97.645 * * [simplify]: Extracting #0: cost 1 inf + 0 97.645 * * [simplify]: Extracting #1: cost 3 inf + 0 97.645 * * [simplify]: Extracting #2: cost 6 inf + 0 97.646 * * [simplify]: Extracting #3: cost 50 inf + 0 97.646 * * [simplify]: Extracting #4: cost 107 inf + 0 97.646 * * [simplify]: Extracting #5: cost 147 inf + 44 97.647 * * [simplify]: Extracting #6: cost 215 inf + 1554 97.648 * * [simplify]: Extracting #7: cost 213 inf + 3307 97.652 * * [simplify]: Extracting #8: cost 141 inf + 21222 97.666 * * [simplify]: Extracting #9: cost 49 inf + 58569 97.700 * * [simplify]: Extracting #10: cost 9 inf + 83213 97.722 * * [simplify]: Extracting #11: cost 0 inf + 89249 97.741 * * [simplify]: Extracting #12: cost 0 inf + 87809 97.760 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 97.760 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 97.761 * * * * [progress]: [ 22 / 5906 ] simplifiying candidate # 97.762 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 97.762 * * [simplify]: iters left: 6 (47 enodes) 97.774 * * [simplify]: iters left: 5 (232 enodes) 97.825 * * [simplify]: Extracting #0: cost 1 inf + 0 97.826 * * [simplify]: Extracting #1: cost 3 inf + 0 97.826 * * [simplify]: Extracting #2: cost 10 inf + 0 97.826 * * [simplify]: Extracting #3: cost 70 inf + 0 97.826 * * [simplify]: Extracting #4: cost 124 inf + 42 97.827 * * [simplify]: Extracting #5: cost 166 inf + 331 97.828 * * [simplify]: Extracting #6: cost 236 inf + 2365 97.829 * * [simplify]: Extracting #7: cost 226 inf + 8449 97.833 * * [simplify]: Extracting #8: cost 153 inf + 25658 97.841 * * [simplify]: Extracting #9: cost 72 inf + 52530 97.861 * * [simplify]: Extracting #10: cost 14 inf + 93701 97.907 * * [simplify]: Extracting #11: cost 0 inf + 106660 97.935 * * [simplify]: Extracting #12: cost 0 inf + 105940 97.975 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) 97.975 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 97.976 * * * * [progress]: [ 23 / 5906 ] simplifiying candidate # 97.976 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 97.977 * * [simplify]: iters left: 6 (42 enodes) 97.997 * * [simplify]: iters left: 5 (204 enodes) 98.047 * * [simplify]: Extracting #0: cost 1 inf + 0 98.047 * * [simplify]: Extracting #1: cost 3 inf + 0 98.047 * * [simplify]: Extracting #2: cost 10 inf + 0 98.047 * * [simplify]: Extracting #3: cost 62 inf + 0 98.048 * * [simplify]: Extracting #4: cost 104 inf + 86 98.049 * * [simplify]: Extracting #5: cost 129 inf + 1392 98.051 * * [simplify]: Extracting #6: cost 203 inf + 2932 98.053 * * [simplify]: Extracting #7: cost 210 inf + 3467 98.057 * * [simplify]: Extracting #8: cost 174 inf + 8336 98.065 * * [simplify]: Extracting #9: cost 102 inf + 27547 98.081 * * [simplify]: Extracting #10: cost 53 inf + 47219 98.098 * * [simplify]: Extracting #11: cost 12 inf + 76311 98.116 * * [simplify]: Extracting #12: cost 1 inf + 83994 98.153 * * [simplify]: Extracting #13: cost 0 inf + 85539 98.180 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1))))) 98.180 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 98.180 * * * * [progress]: [ 24 / 5906 ] simplifiying candidate # 98.181 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 98.181 * * [simplify]: iters left: 6 (47 enodes) 98.193 * * [simplify]: iters left: 5 (232 enodes) 98.276 * * [simplify]: Extracting #0: cost 1 inf + 0 98.276 * * [simplify]: Extracting #1: cost 3 inf + 0 98.276 * * [simplify]: Extracting #2: cost 10 inf + 0 98.276 * * [simplify]: Extracting #3: cost 70 inf + 0 98.276 * * [simplify]: Extracting #4: cost 124 inf + 42 98.277 * * [simplify]: Extracting #5: cost 166 inf + 332 98.278 * * [simplify]: Extracting #6: cost 231 inf + 3616 98.279 * * [simplify]: Extracting #7: cost 225 inf + 8731 98.283 * * [simplify]: Extracting #8: cost 155 inf + 25232 98.291 * * [simplify]: Extracting #9: cost 71 inf + 53374 98.325 * * [simplify]: Extracting #10: cost 14 inf + 94021 98.365 * * [simplify]: Extracting #11: cost 0 inf + 107620 98.388 * * [simplify]: Extracting #12: cost 0 inf + 106900 98.435 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) 98.436 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 98.437 * * * * [progress]: [ 25 / 5906 ] simplifiying candidate # 98.437 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 98.438 * * [simplify]: iters left: 6 (42 enodes) 98.454 * * [simplify]: iters left: 5 (204 enodes) 98.506 * * [simplify]: Extracting #0: cost 1 inf + 0 98.506 * * [simplify]: Extracting #1: cost 3 inf + 0 98.506 * * [simplify]: Extracting #2: cost 10 inf + 0 98.506 * * [simplify]: Extracting #3: cost 61 inf + 0 98.507 * * [simplify]: Extracting #4: cost 105 inf + 44 98.508 * * [simplify]: Extracting #5: cost 133 inf + 1104 98.509 * * [simplify]: Extracting #6: cost 203 inf + 3012 98.510 * * [simplify]: Extracting #7: cost 211 inf + 3426 98.512 * * [simplify]: Extracting #8: cost 179 inf + 7369 98.516 * * [simplify]: Extracting #9: cost 103 inf + 27042 98.527 * * [simplify]: Extracting #10: cost 55 inf + 46133 98.550 * * [simplify]: Extracting #11: cost 10 inf + 78620 98.586 * * [simplify]: Extracting #12: cost 0 inf + 85779 98.623 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1))))) 98.623 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 98.624 * * * * [progress]: [ 26 / 5906 ] simplifiying candidate # 98.625 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 98.626 * * [simplify]: iters left: 6 (47 enodes) 98.650 * * [simplify]: iters left: 5 (230 enodes) 98.735 * * [simplify]: Extracting #0: cost 1 inf + 0 98.735 * * [simplify]: Extracting #1: cost 3 inf + 0 98.735 * * [simplify]: Extracting #2: cost 6 inf + 0 98.735 * * [simplify]: Extracting #3: cost 52 inf + 0 98.735 * * [simplify]: Extracting #4: cost 118 inf + 0 98.735 * * [simplify]: Extracting #5: cost 191 inf + 0 98.736 * * [simplify]: Extracting #6: cost 265 inf + 1138 98.738 * * [simplify]: Extracting #7: cost 234 inf + 9128 98.742 * * [simplify]: Extracting #8: cost 150 inf + 23350 98.748 * * [simplify]: Extracting #9: cost 108 inf + 36733 98.760 * * [simplify]: Extracting #10: cost 80 inf + 48845 98.775 * * [simplify]: Extracting #11: cost 38 inf + 69703 98.802 * * [simplify]: Extracting #12: cost 4 inf + 101633 98.830 * * [simplify]: Extracting #13: cost 0 inf + 107613 98.868 * [simplify]: Simplified to (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 98.868 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 98.870 * * * * [progress]: [ 27 / 5906 ] simplifiying candidate # 98.870 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 98.871 * * [simplify]: iters left: 6 (48 enodes) 98.895 * * [simplify]: iters left: 5 (239 enodes) 98.950 * * [simplify]: Extracting #0: cost 1 inf + 0 98.950 * * [simplify]: Extracting #1: cost 3 inf + 0 98.951 * * [simplify]: Extracting #2: cost 6 inf + 0 98.951 * * [simplify]: Extracting #3: cost 56 inf + 0 98.951 * * [simplify]: Extracting #4: cost 141 inf + 0 98.951 * * [simplify]: Extracting #5: cost 201 inf + 289 98.953 * * [simplify]: Extracting #6: cost 252 inf + 4067 98.958 * * [simplify]: Extracting #7: cost 226 inf + 10668 98.967 * * [simplify]: Extracting #8: cost 129 inf + 31978 98.987 * * [simplify]: Extracting #9: cost 57 inf + 62315 99.023 * * [simplify]: Extracting #10: cost 11 inf + 103382 99.073 * * [simplify]: Extracting #11: cost 0 inf + 113550 99.110 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) 99.110 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 99.110 * * * * [progress]: [ 28 / 5906 ] simplifiying candidate # 99.111 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 99.111 * * [simplify]: iters left: 6 (48 enodes) 99.123 * * [simplify]: iters left: 5 (239 enodes) 99.218 * * [simplify]: Extracting #0: cost 1 inf + 0 99.218 * * [simplify]: Extracting #1: cost 3 inf + 0 99.218 * * [simplify]: Extracting #2: cost 6 inf + 0 99.218 * * [simplify]: Extracting #3: cost 58 inf + 0 99.219 * * [simplify]: Extracting #4: cost 139 inf + 0 99.220 * * [simplify]: Extracting #5: cost 197 inf + 210 99.222 * * [simplify]: Extracting #6: cost 246 inf + 3713 99.226 * * [simplify]: Extracting #7: cost 223 inf + 11218 99.236 * * [simplify]: Extracting #8: cost 127 inf + 33864 99.256 * * [simplify]: Extracting #9: cost 55 inf + 61656 99.288 * * [simplify]: Extracting #10: cost 10 inf + 99277 99.311 * * [simplify]: Extracting #11: cost 0 inf + 108342 99.357 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (+ phi2 phi1))))))) 99.357 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 99.359 * * * * [progress]: [ 29 / 5906 ] simplifiying candidate # 99.359 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 99.360 * * [simplify]: iters left: 6 (42 enodes) 99.377 * * [simplify]: iters left: 5 (203 enodes) 99.426 * * [simplify]: Extracting #0: cost 1 inf + 0 99.426 * * [simplify]: Extracting #1: cost 3 inf + 0 99.426 * * [simplify]: Extracting #2: cost 6 inf + 0 99.426 * * [simplify]: Extracting #3: cost 50 inf + 0 99.426 * * [simplify]: Extracting #4: cost 107 inf + 0 99.427 * * [simplify]: Extracting #5: cost 149 inf + 44 99.427 * * [simplify]: Extracting #6: cost 210 inf + 1557 99.429 * * [simplify]: Extracting #7: cost 210 inf + 3305 99.433 * * [simplify]: Extracting #8: cost 166 inf + 9312 99.438 * * [simplify]: Extracting #9: cost 103 inf + 28214 99.461 * * [simplify]: Extracting #10: cost 8 inf + 82769 99.500 * * [simplify]: Extracting #11: cost 0 inf + 87561 99.537 * * [simplify]: Extracting #12: cost 0 inf + 87041 99.574 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 99.574 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 99.575 * * * * [progress]: [ 30 / 5906 ] simplifiying candidate # 99.576 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 99.577 * * [simplify]: iters left: 6 (47 enodes) 99.595 * * [simplify]: iters left: 5 (231 enodes) 99.658 * * [simplify]: Extracting #0: cost 1 inf + 0 99.659 * * [simplify]: Extracting #1: cost 3 inf + 0 99.659 * * [simplify]: Extracting #2: cost 10 inf + 0 99.659 * * [simplify]: Extracting #3: cost 70 inf + 0 99.659 * * [simplify]: Extracting #4: cost 124 inf + 42 99.659 * * [simplify]: Extracting #5: cost 169 inf + 290 99.661 * * [simplify]: Extracting #6: cost 233 inf + 2323 99.662 * * [simplify]: Extracting #7: cost 222 inf + 8137 99.666 * * [simplify]: Extracting #8: cost 142 inf + 23747 99.673 * * [simplify]: Extracting #9: cost 86 inf + 45262 99.694 * * [simplify]: Extracting #10: cost 36 inf + 69234 99.733 * * [simplify]: Extracting #11: cost 7 inf + 93317 99.774 * * [simplify]: Extracting #12: cost 0 inf + 101972 99.797 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 99.797 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 99.798 * * * * [progress]: [ 31 / 5906 ] simplifiying candidate # 99.798 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 99.798 * * [simplify]: iters left: 6 (42 enodes) 99.812 * * [simplify]: iters left: 5 (203 enodes) 99.887 * * [simplify]: Extracting #0: cost 1 inf + 0 99.887 * * [simplify]: Extracting #1: cost 3 inf + 0 99.888 * * [simplify]: Extracting #2: cost 10 inf + 0 99.888 * * [simplify]: Extracting #3: cost 62 inf + 0 99.888 * * [simplify]: Extracting #4: cost 104 inf + 86 99.888 * * [simplify]: Extracting #5: cost 129 inf + 1716 99.889 * * [simplify]: Extracting #6: cost 199 inf + 2932 99.891 * * [simplify]: Extracting #7: cost 208 inf + 3344 99.893 * * [simplify]: Extracting #8: cost 154 inf + 16712 99.900 * * [simplify]: Extracting #9: cost 69 inf + 43229 99.915 * * [simplify]: Extracting #10: cost 29 inf + 67396 99.947 * * [simplify]: Extracting #11: cost 8 inf + 78722 99.971 * * [simplify]: Extracting #12: cost 0 inf + 84171 99.991 * * [simplify]: Extracting #13: cost 0 inf + 84131 100.017 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 100.017 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 100.018 * * * * [progress]: [ 32 / 5906 ] simplifiying candidate # 100.019 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 100.019 * * [simplify]: iters left: 6 (47 enodes) 100.044 * * [simplify]: iters left: 5 (231 enodes) 100.113 * * [simplify]: Extracting #0: cost 1 inf + 0 100.113 * * [simplify]: Extracting #1: cost 3 inf + 0 100.113 * * [simplify]: Extracting #2: cost 10 inf + 0 100.113 * * [simplify]: Extracting #3: cost 70 inf + 0 100.114 * * [simplify]: Extracting #4: cost 124 inf + 42 100.115 * * [simplify]: Extracting #5: cost 168 inf + 332 100.117 * * [simplify]: Extracting #6: cost 229 inf + 3292 100.120 * * [simplify]: Extracting #7: cost 221 inf + 8389 100.128 * * [simplify]: Extracting #8: cost 142 inf + 24220 100.143 * * [simplify]: Extracting #9: cost 88 inf + 45253 100.167 * * [simplify]: Extracting #10: cost 36 inf + 70034 100.197 * * [simplify]: Extracting #11: cost 7 inf + 94117 100.219 * * [simplify]: Extracting #12: cost 0 inf + 102772 100.249 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 100.249 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 100.251 * * * * [progress]: [ 33 / 5906 ] simplifiying candidate # 100.251 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 100.252 * * [simplify]: iters left: 6 (42 enodes) 100.275 * * [simplify]: iters left: 5 (203 enodes) 100.354 * * [simplify]: Extracting #0: cost 1 inf + 0 100.354 * * [simplify]: Extracting #1: cost 3 inf + 0 100.355 * * [simplify]: Extracting #2: cost 10 inf + 0 100.355 * * [simplify]: Extracting #3: cost 61 inf + 0 100.355 * * [simplify]: Extracting #4: cost 105 inf + 44 100.356 * * [simplify]: Extracting #5: cost 136 inf + 942 100.358 * * [simplify]: Extracting #6: cost 199 inf + 2932 100.360 * * [simplify]: Extracting #7: cost 208 inf + 3344 100.366 * * [simplify]: Extracting #8: cost 151 inf + 16756 100.380 * * [simplify]: Extracting #9: cost 68 inf + 42791 100.406 * * [simplify]: Extracting #10: cost 28 inf + 66861 100.433 * * [simplify]: Extracting #11: cost 5 inf + 80373 100.462 * * [simplify]: Extracting #12: cost 0 inf + 84371 100.498 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 100.498 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 100.499 * * * * [progress]: [ 34 / 5906 ] simplifiying candidate # 100.500 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 100.501 * * [simplify]: iters left: 6 (47 enodes) 100.525 * * [simplify]: iters left: 5 (231 enodes) 100.597 * * [simplify]: Extracting #0: cost 1 inf + 0 100.597 * * [simplify]: Extracting #1: cost 3 inf + 0 100.597 * * [simplify]: Extracting #2: cost 6 inf + 0 100.597 * * [simplify]: Extracting #3: cost 52 inf + 0 100.598 * * [simplify]: Extracting #4: cost 118 inf + 0 100.598 * * [simplify]: Extracting #5: cost 187 inf + 0 100.600 * * [simplify]: Extracting #6: cost 263 inf + 805 100.603 * * [simplify]: Extracting #7: cost 224 inf + 8206 100.610 * * [simplify]: Extracting #8: cost 142 inf + 24667 100.619 * * [simplify]: Extracting #9: cost 80 inf + 48421 100.630 * * [simplify]: Extracting #10: cost 42 inf + 64995 100.656 * * [simplify]: Extracting #11: cost 9 inf + 94540 100.697 * * [simplify]: Extracting #12: cost 0 inf + 104285 100.722 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 100.722 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 100.723 * * * * [progress]: [ 35 / 5906 ] simplifiying candidate # 100.723 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 100.724 * * [simplify]: iters left: 6 (48 enodes) 100.738 * * [simplify]: iters left: 5 (240 enodes) 100.799 * * [simplify]: Extracting #0: cost 1 inf + 0 100.799 * * [simplify]: Extracting #1: cost 3 inf + 0 100.799 * * [simplify]: Extracting #2: cost 6 inf + 0 100.799 * * [simplify]: Extracting #3: cost 56 inf + 0 100.800 * * [simplify]: Extracting #4: cost 141 inf + 0 100.800 * * [simplify]: Extracting #5: cost 195 inf + 493 100.802 * * [simplify]: Extracting #6: cost 231 inf + 6980 100.804 * * [simplify]: Extracting #7: cost 204 inf + 15162 100.808 * * [simplify]: Extracting #8: cost 146 inf + 24075 100.816 * * [simplify]: Extracting #9: cost 92 inf + 45752 100.829 * * [simplify]: Extracting #10: cost 42 inf + 68654 100.851 * * [simplify]: Extracting #11: cost 6 inf + 101072 100.886 * * [simplify]: Extracting #12: cost 0 inf + 108582 100.916 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))))))) 100.916 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 100.917 * * * * [progress]: [ 36 / 5906 ] simplifiying candidate # 100.917 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 100.918 * * [simplify]: iters left: 6 (48 enodes) 100.945 * * [simplify]: iters left: 5 (240 enodes) 101.036 * * [simplify]: Extracting #0: cost 1 inf + 0 101.036 * * [simplify]: Extracting #1: cost 3 inf + 0 101.036 * * [simplify]: Extracting #2: cost 6 inf + 0 101.036 * * [simplify]: Extracting #3: cost 58 inf + 0 101.036 * * [simplify]: Extracting #4: cost 139 inf + 0 101.037 * * [simplify]: Extracting #5: cost 193 inf + 290 101.038 * * [simplify]: Extracting #6: cost 235 inf + 5086 101.040 * * [simplify]: Extracting #7: cost 215 inf + 11470 101.044 * * [simplify]: Extracting #8: cost 153 inf + 23689 101.055 * * [simplify]: Extracting #9: cost 87 inf + 47156 101.075 * * [simplify]: Extracting #10: cost 43 inf + 66301 101.093 * * [simplify]: Extracting #11: cost 10 inf + 93164 101.134 * * [simplify]: Extracting #12: cost 0 inf + 103454 101.176 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))))))) 101.176 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 101.177 * * * * [progress]: [ 37 / 5906 ] simplifiying candidate # 101.178 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 101.178 * * [simplify]: iters left: 6 (42 enodes) 101.200 * * [simplify]: iters left: 5 (204 enodes) 101.274 * * [simplify]: Extracting #0: cost 1 inf + 0 101.274 * * [simplify]: Extracting #1: cost 3 inf + 0 101.274 * * [simplify]: Extracting #2: cost 6 inf + 0 101.274 * * [simplify]: Extracting #3: cost 50 inf + 0 101.274 * * [simplify]: Extracting #4: cost 107 inf + 0 101.275 * * [simplify]: Extracting #5: cost 144 inf + 85 101.278 * * [simplify]: Extracting #6: cost 207 inf + 1353 101.279 * * [simplify]: Extracting #7: cost 201 inf + 3548 101.282 * * [simplify]: Extracting #8: cost 140 inf + 14232 101.289 * * [simplify]: Extracting #9: cost 87 inf + 34309 101.299 * * [simplify]: Extracting #10: cost 33 inf + 57554 101.326 * * [simplify]: Extracting #11: cost 7 inf + 76258 101.347 * * [simplify]: Extracting #12: cost 1 inf + 82048 101.368 * * [simplify]: Extracting #13: cost 0 inf + 83593 101.403 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))))) 101.403 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 101.404 * * * * [progress]: [ 38 / 5906 ] simplifiying candidate # 101.404 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 101.405 * * [simplify]: iters left: 6 (47 enodes) 101.422 * * [simplify]: iters left: 5 (232 enodes) 101.473 * * [simplify]: Extracting #0: cost 1 inf + 0 101.473 * * [simplify]: Extracting #1: cost 3 inf + 0 101.473 * * [simplify]: Extracting #2: cost 10 inf + 0 101.473 * * [simplify]: Extracting #3: cost 70 inf + 0 101.473 * * [simplify]: Extracting #4: cost 124 inf + 42 101.474 * * [simplify]: Extracting #5: cost 165 inf + 290 101.475 * * [simplify]: Extracting #6: cost 229 inf + 2162 101.477 * * [simplify]: Extracting #7: cost 203 inf + 9382 101.481 * * [simplify]: Extracting #8: cost 142 inf + 21689 101.495 * * [simplify]: Extracting #9: cost 82 inf + 45058 101.519 * * [simplify]: Extracting #10: cost 40 inf + 63804 101.542 * * [simplify]: Extracting #11: cost 5 inf + 93559 101.566 * * [simplify]: Extracting #12: cost 1 inf + 98579 101.604 * * [simplify]: Extracting #13: cost 0 inf + 100364 101.641 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) 101.641 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 101.642 * * * * [progress]: [ 39 / 5906 ] simplifiying candidate # 101.642 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 101.643 * * [simplify]: iters left: 6 (42 enodes) 101.667 * * [simplify]: iters left: 5 (204 enodes) 101.724 * * [simplify]: Extracting #0: cost 1 inf + 0 101.724 * * [simplify]: Extracting #1: cost 3 inf + 0 101.724 * * [simplify]: Extracting #2: cost 10 inf + 0 101.724 * * [simplify]: Extracting #3: cost 62 inf + 0 101.724 * * [simplify]: Extracting #4: cost 104 inf + 86 101.725 * * [simplify]: Extracting #5: cost 133 inf + 661 101.727 * * [simplify]: Extracting #6: cost 197 inf + 2608 101.730 * * [simplify]: Extracting #7: cost 202 inf + 3382 101.735 * * [simplify]: Extracting #8: cost 140 inf + 16505 101.749 * * [simplify]: Extracting #9: cost 68 inf + 39840 101.759 * * [simplify]: Extracting #10: cost 37 inf + 55057 101.782 * * [simplify]: Extracting #11: cost 8 inf + 73769 101.814 * * [simplify]: Extracting #12: cost 0 inf + 80683 101.833 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1))))) 101.833 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 101.834 * * * * [progress]: [ 40 / 5906 ] simplifiying candidate # 101.834 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 101.835 * * [simplify]: iters left: 6 (47 enodes) 101.847 * * [simplify]: iters left: 5 (232 enodes) 101.944 * * [simplify]: Extracting #0: cost 1 inf + 0 101.944 * * [simplify]: Extracting #1: cost 3 inf + 0 101.944 * * [simplify]: Extracting #2: cost 10 inf + 0 101.944 * * [simplify]: Extracting #3: cost 70 inf + 0 101.944 * * [simplify]: Extracting #4: cost 124 inf + 42 101.944 * * [simplify]: Extracting #5: cost 164 inf + 332 101.945 * * [simplify]: Extracting #6: cost 224 inf + 3333 101.947 * * [simplify]: Extracting #7: cost 201 inf + 9625 101.951 * * [simplify]: Extracting #8: cost 143 inf + 21386 101.957 * * [simplify]: Extracting #9: cost 82 inf + 44777 101.968 * * [simplify]: Extracting #10: cost 40 inf + 64764 101.988 * * [simplify]: Extracting #11: cost 5 inf + 94519 102.028 * * [simplify]: Extracting #12: cost 1 inf + 99539 102.065 * * [simplify]: Extracting #13: cost 0 inf + 101324 102.088 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) 102.088 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 102.089 * * * * [progress]: [ 41 / 5906 ] simplifiying candidate # 102.090 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 102.090 * * [simplify]: iters left: 6 (42 enodes) 102.112 * * [simplify]: iters left: 5 (204 enodes) 102.171 * * [simplify]: Extracting #0: cost 1 inf + 0 102.171 * * [simplify]: Extracting #1: cost 3 inf + 0 102.171 * * [simplify]: Extracting #2: cost 10 inf + 0 102.172 * * [simplify]: Extracting #3: cost 61 inf + 0 102.172 * * [simplify]: Extracting #4: cost 105 inf + 44 102.173 * * [simplify]: Extracting #5: cost 132 inf + 862 102.175 * * [simplify]: Extracting #6: cost 195 inf + 3012 102.177 * * [simplify]: Extracting #7: cost 203 inf + 3180 102.183 * * [simplify]: Extracting #8: cost 142 inf + 16525 102.197 * * [simplify]: Extracting #9: cost 67 inf + 40052 102.218 * * [simplify]: Extracting #10: cost 35 inf + 55983 102.234 * * [simplify]: Extracting #11: cost 8 inf + 74009 102.252 * * [simplify]: Extracting #12: cost 0 inf + 81083 102.285 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1))))) 102.287 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 102.291 * * * * [progress]: [ 42 / 5906 ] simplifiying candidate # 102.292 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 102.292 * * [simplify]: iters left: 6 (45 enodes) 102.321 * * [simplify]: iters left: 5 (215 enodes) 102.396 * * [simplify]: Extracting #0: cost 1 inf + 0 102.396 * * [simplify]: Extracting #1: cost 3 inf + 0 102.396 * * [simplify]: Extracting #2: cost 6 inf + 0 102.396 * * [simplify]: Extracting #3: cost 52 inf + 0 102.396 * * [simplify]: Extracting #4: cost 118 inf + 0 102.396 * * [simplify]: Extracting #5: cost 185 inf + 0 102.397 * * [simplify]: Extracting #6: cost 249 inf + 250 102.398 * * [simplify]: Extracting #7: cost 220 inf + 6473 102.402 * * [simplify]: Extracting #8: cost 138 inf + 23319 102.409 * * [simplify]: Extracting #9: cost 86 inf + 42640 102.444 * * [simplify]: Extracting #10: cost 19 inf + 86515 102.465 * * [simplify]: Extracting #11: cost 0 inf + 102014 102.498 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) 102.498 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 102.499 * * * * [progress]: [ 43 / 5906 ] simplifiying candidate # 102.499 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 102.499 * * [simplify]: iters left: 6 (46 enodes) 102.511 * * [simplify]: iters left: 5 (224 enodes) 102.596 * * [simplify]: Extracting #0: cost 1 inf + 0 102.596 * * [simplify]: Extracting #1: cost 3 inf + 0 102.596 * * [simplify]: Extracting #2: cost 6 inf + 0 102.596 * * [simplify]: Extracting #3: cost 56 inf + 0 102.597 * * [simplify]: Extracting #4: cost 141 inf + 0 102.598 * * [simplify]: Extracting #5: cost 198 inf + 126 102.600 * * [simplify]: Extracting #6: cost 236 inf + 6011 102.604 * * [simplify]: Extracting #7: cost 198 inf + 14454 102.611 * * [simplify]: Extracting #8: cost 145 inf + 23348 102.625 * * [simplify]: Extracting #9: cost 84 inf + 44654 102.640 * * [simplify]: Extracting #10: cost 35 inf + 70436 102.659 * * [simplify]: Extracting #11: cost 3 inf + 100596 102.701 * * [simplify]: Extracting #12: cost 0 inf + 105071 102.738 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 102.739 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 102.739 * * * * [progress]: [ 44 / 5906 ] simplifiying candidate # 102.740 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 102.740 * * [simplify]: iters left: 6 (46 enodes) 102.754 * * [simplify]: iters left: 5 (224 enodes) 102.818 * * [simplify]: Extracting #0: cost 1 inf + 0 102.818 * * [simplify]: Extracting #1: cost 3 inf + 0 102.818 * * [simplify]: Extracting #2: cost 6 inf + 0 102.818 * * [simplify]: Extracting #3: cost 58 inf + 0 102.819 * * [simplify]: Extracting #4: cost 139 inf + 0 102.820 * * [simplify]: Extracting #5: cost 194 inf + 126 102.822 * * [simplify]: Extracting #6: cost 232 inf + 5522 102.826 * * [simplify]: Extracting #7: cost 197 inf + 15113 102.834 * * [simplify]: Extracting #8: cost 130 inf + 27936 102.843 * * [simplify]: Extracting #9: cost 68 inf + 49796 102.859 * * [simplify]: Extracting #10: cost 12 inf + 93655 102.881 * * [simplify]: Extracting #11: cost 0 inf + 102823 102.918 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 102.918 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 102.918 * * * * [progress]: [ 45 / 5906 ] simplifiying candidate # 102.919 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 102.919 * * [simplify]: iters left: 6 (40 enodes) 102.929 * * [simplify]: iters left: 5 (188 enodes) 102.983 * * [simplify]: Extracting #0: cost 1 inf + 0 102.983 * * [simplify]: Extracting #1: cost 3 inf + 0 102.983 * * [simplify]: Extracting #2: cost 6 inf + 0 102.983 * * [simplify]: Extracting #3: cost 50 inf + 0 102.983 * * [simplify]: Extracting #4: cost 107 inf + 0 102.984 * * [simplify]: Extracting #5: cost 143 inf + 44 102.986 * * [simplify]: Extracting #6: cost 186 inf + 2005 102.988 * * [simplify]: Extracting #7: cost 184 inf + 3307 102.990 * * [simplify]: Extracting #8: cost 131 inf + 15450 102.997 * * [simplify]: Extracting #9: cost 69 inf + 36557 103.009 * * [simplify]: Extracting #10: cost 19 inf + 64657 103.034 * * [simplify]: Extracting #11: cost 2 inf + 78392 103.070 * * [simplify]: Extracting #12: cost 0 inf + 81402 103.096 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))))))) 103.097 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 103.097 * * * * [progress]: [ 46 / 5906 ] simplifiying candidate # 103.097 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 103.098 * * [simplify]: iters left: 6 (45 enodes) 103.109 * * [simplify]: iters left: 5 (216 enodes) 103.173 * * [simplify]: Extracting #0: cost 1 inf + 0 103.173 * * [simplify]: Extracting #1: cost 3 inf + 0 103.173 * * [simplify]: Extracting #2: cost 10 inf + 0 103.173 * * [simplify]: Extracting #3: cost 70 inf + 0 103.173 * * [simplify]: Extracting #4: cost 125 inf + 1 103.173 * * [simplify]: Extracting #5: cost 164 inf + 289 103.174 * * [simplify]: Extracting #6: cost 224 inf + 1076 103.175 * * [simplify]: Extracting #7: cost 202 inf + 7099 103.180 * * [simplify]: Extracting #8: cost 136 inf + 19231 103.189 * * [simplify]: Extracting #9: cost 64 inf + 45780 103.199 * * [simplify]: Extracting #10: cost 36 inf + 61833 103.218 * * [simplify]: Extracting #11: cost 5 inf + 90288 103.242 * * [simplify]: Extracting #12: cost 0 inf + 96093 103.274 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) 103.275 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 103.276 * * * * [progress]: [ 47 / 5906 ] simplifiying candidate # 103.276 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 103.277 * * [simplify]: iters left: 6 (40 enodes) 103.294 * * [simplify]: iters left: 5 (188 enodes) 103.345 * * [simplify]: Extracting #0: cost 1 inf + 0 103.345 * * [simplify]: Extracting #1: cost 3 inf + 0 103.345 * * [simplify]: Extracting #2: cost 10 inf + 0 103.346 * * [simplify]: Extracting #3: cost 62 inf + 0 103.346 * * [simplify]: Extracting #4: cost 104 inf + 86 103.347 * * [simplify]: Extracting #5: cost 127 inf + 1229 103.349 * * [simplify]: Extracting #6: cost 179 inf + 2932 103.351 * * [simplify]: Extracting #7: cost 181 inf + 3387 103.357 * * [simplify]: Extracting #8: cost 109 inf + 21634 103.364 * * [simplify]: Extracting #9: cost 54 inf + 43644 103.377 * * [simplify]: Extracting #10: cost 14 inf + 67029 103.403 * * [simplify]: Extracting #11: cost 0 inf + 78132 103.434 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 103.434 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 103.435 * * * * [progress]: [ 48 / 5906 ] simplifiying candidate # 103.435 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 103.436 * * [simplify]: iters left: 6 (45 enodes) 103.459 * * [simplify]: iters left: 5 (216 enodes) 103.519 * * [simplify]: Extracting #0: cost 1 inf + 0 103.519 * * [simplify]: Extracting #1: cost 3 inf + 0 103.519 * * [simplify]: Extracting #2: cost 10 inf + 0 103.519 * * [simplify]: Extracting #3: cost 70 inf + 0 103.519 * * [simplify]: Extracting #4: cost 125 inf + 1 103.520 * * [simplify]: Extracting #5: cost 164 inf + 289 103.522 * * [simplify]: Extracting #6: cost 220 inf + 2147 103.524 * * [simplify]: Extracting #7: cost 196 inf + 8934 103.527 * * [simplify]: Extracting #8: cost 132 inf + 21590 103.535 * * [simplify]: Extracting #9: cost 61 inf + 48274 103.545 * * [simplify]: Extracting #10: cost 36 inf + 62793 103.569 * * [simplify]: Extracting #11: cost 5 inf + 91248 103.607 * * [simplify]: Extracting #12: cost 0 inf + 97053 103.646 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) 103.646 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 103.647 * * * * [progress]: [ 49 / 5906 ] simplifiying candidate # 103.648 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 103.648 * * [simplify]: iters left: 6 (40 enodes) 103.662 * * [simplify]: iters left: 5 (188 enodes) 103.714 * * [simplify]: Extracting #0: cost 1 inf + 0 103.714 * * [simplify]: Extracting #1: cost 3 inf + 0 103.714 * * [simplify]: Extracting #2: cost 10 inf + 0 103.714 * * [simplify]: Extracting #3: cost 61 inf + 0 103.715 * * [simplify]: Extracting #4: cost 104 inf + 86 103.716 * * [simplify]: Extracting #5: cost 121 inf + 2160 103.718 * * [simplify]: Extracting #6: cost 179 inf + 2932 103.720 * * [simplify]: Extracting #7: cost 182 inf + 3346 103.725 * * [simplify]: Extracting #8: cost 115 inf + 20761 103.741 * * [simplify]: Extracting #9: cost 49 inf + 47769 103.767 * * [simplify]: Extracting #10: cost 13 inf + 68145 103.801 * * [simplify]: Extracting #11: cost 0 inf + 78372 103.833 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 103.833 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 103.834 * * * * [progress]: [ 50 / 5906 ] simplifiying candidate # 103.834 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 103.835 * * [simplify]: iters left: 6 (48 enodes) 103.860 * * [simplify]: iters left: 5 (229 enodes) 103.958 * * [simplify]: Extracting #0: cost 1 inf + 0 103.958 * * [simplify]: Extracting #1: cost 3 inf + 0 103.958 * * [simplify]: Extracting #2: cost 6 inf + 0 103.958 * * [simplify]: Extracting #3: cost 52 inf + 0 103.959 * * [simplify]: Extracting #4: cost 118 inf + 0 103.959 * * [simplify]: Extracting #5: cost 184 inf + 0 103.961 * * [simplify]: Extracting #6: cost 253 inf + 1215 103.964 * * [simplify]: Extracting #7: cost 212 inf + 11596 103.975 * * [simplify]: Extracting #8: cost 111 inf + 39072 103.995 * * [simplify]: Extracting #9: cost 42 inf + 62379 104.030 * * [simplify]: Extracting #10: cost 5 inf + 100024 104.072 * * [simplify]: Extracting #11: cost 0 inf + 106629 104.114 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 104.114 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 104.116 * * * * [progress]: [ 51 / 5906 ] simplifiying candidate # 104.116 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 104.117 * * [simplify]: iters left: 6 (49 enodes) 104.144 * * [simplify]: iters left: 5 (238 enodes) 104.231 * * [simplify]: Extracting #0: cost 1 inf + 0 104.231 * * [simplify]: Extracting #1: cost 3 inf + 0 104.231 * * [simplify]: Extracting #2: cost 6 inf + 0 104.231 * * [simplify]: Extracting #3: cost 56 inf + 0 104.231 * * [simplify]: Extracting #4: cost 141 inf + 0 104.232 * * [simplify]: Extracting #5: cost 198 inf + 44 104.233 * * [simplify]: Extracting #6: cost 241 inf + 3826 104.235 * * [simplify]: Extracting #7: cost 194 inf + 15502 104.240 * * [simplify]: Extracting #8: cost 138 inf + 30007 104.252 * * [simplify]: Extracting #9: cost 87 inf + 49033 104.268 * * [simplify]: Extracting #10: cost 48 inf + 62846 104.287 * * [simplify]: Extracting #11: cost 5 inf + 102761 104.313 * * [simplify]: Extracting #12: cost 0 inf + 109206 104.339 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1)))))) 104.339 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 104.340 * * * * [progress]: [ 52 / 5906 ] simplifiying candidate # 104.341 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 104.341 * * [simplify]: iters left: 6 (49 enodes) 104.366 * * [simplify]: iters left: 5 (238 enodes) 104.449 * * [simplify]: Extracting #0: cost 1 inf + 0 104.449 * * [simplify]: Extracting #1: cost 3 inf + 0 104.449 * * [simplify]: Extracting #2: cost 6 inf + 0 104.449 * * [simplify]: Extracting #3: cost 58 inf + 0 104.450 * * [simplify]: Extracting #4: cost 139 inf + 0 104.450 * * [simplify]: Extracting #5: cost 192 inf + 166 104.451 * * [simplify]: Extracting #6: cost 220 inf + 6545 104.454 * * [simplify]: Extracting #7: cost 192 inf + 15023 104.460 * * [simplify]: Extracting #8: cost 114 inf + 36020 104.485 * * [simplify]: Extracting #9: cost 39 inf + 68623 104.508 * * [simplify]: Extracting #10: cost 4 inf + 102058 104.538 * * [simplify]: Extracting #11: cost 0 inf + 107038 104.569 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1)))))) 104.569 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 104.569 * * * * [progress]: [ 53 / 5906 ] simplifiying candidate # 104.570 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 104.570 * * [simplify]: iters left: 6 (43 enodes) 104.581 * * [simplify]: iters left: 5 (202 enodes) 104.622 * * [simplify]: Extracting #0: cost 1 inf + 0 104.622 * * [simplify]: Extracting #1: cost 3 inf + 0 104.622 * * [simplify]: Extracting #2: cost 6 inf + 0 104.622 * * [simplify]: Extracting #3: cost 50 inf + 0 104.622 * * [simplify]: Extracting #4: cost 107 inf + 0 104.622 * * [simplify]: Extracting #5: cost 141 inf + 126 104.623 * * [simplify]: Extracting #6: cost 197 inf + 1805 104.625 * * [simplify]: Extracting #7: cost 185 inf + 5178 104.627 * * [simplify]: Extracting #8: cost 139 inf + 13269 104.636 * * [simplify]: Extracting #9: cost 85 inf + 33312 104.663 * * [simplify]: Extracting #10: cost 11 inf + 75260 104.697 * * [simplify]: Extracting #11: cost 0 inf + 84577 104.732 * * [simplify]: Extracting #12: cost 0 inf + 84257 104.759 * * [simplify]: Extracting #13: cost 0 inf + 84217 104.778 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 104.778 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 104.779 * * * * [progress]: [ 54 / 5906 ] simplifiying candidate # 104.779 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 104.779 * * [simplify]: iters left: 6 (48 enodes) 104.798 * * [simplify]: iters left: 5 (230 enodes) 104.861 * * [simplify]: Extracting #0: cost 1 inf + 0 104.861 * * [simplify]: Extracting #1: cost 3 inf + 0 104.861 * * [simplify]: Extracting #2: cost 10 inf + 0 104.862 * * [simplify]: Extracting #3: cost 70 inf + 0 104.862 * * [simplify]: Extracting #4: cost 124 inf + 42 104.863 * * [simplify]: Extracting #5: cost 164 inf + 207 104.865 * * [simplify]: Extracting #6: cost 222 inf + 2166 104.868 * * [simplify]: Extracting #7: cost 198 inf + 8422 104.874 * * [simplify]: Extracting #8: cost 152 inf + 17400 104.885 * * [simplify]: Extracting #9: cost 94 inf + 37153 104.896 * * [simplify]: Extracting #10: cost 43 inf + 59313 104.912 * * [simplify]: Extracting #11: cost 7 inf + 90413 104.947 * * [simplify]: Extracting #12: cost 1 inf + 97403 104.986 * * [simplify]: Extracting #13: cost 0 inf + 98828 105.028 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 105.028 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 105.029 * * * * [progress]: [ 55 / 5906 ] simplifiying candidate # 105.030 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 105.031 * * [simplify]: iters left: 6 (43 enodes) 105.052 * * [simplify]: iters left: 5 (202 enodes) 105.113 * * [simplify]: Extracting #0: cost 1 inf + 0 105.113 * * [simplify]: Extracting #1: cost 3 inf + 0 105.113 * * [simplify]: Extracting #2: cost 10 inf + 0 105.114 * * [simplify]: Extracting #3: cost 62 inf + 0 105.114 * * [simplify]: Extracting #4: cost 104 inf + 86 105.114 * * [simplify]: Extracting #5: cost 124 inf + 1472 105.115 * * [simplify]: Extracting #6: cost 188 inf + 2934 105.116 * * [simplify]: Extracting #7: cost 190 inf + 4442 105.121 * * [simplify]: Extracting #8: cost 141 inf + 12542 105.130 * * [simplify]: Extracting #9: cost 97 inf + 27307 105.148 * * [simplify]: Extracting #10: cost 36 inf + 51907 105.177 * * [simplify]: Extracting #11: cost 5 inf + 74822 105.201 * * [simplify]: Extracting #12: cost 0 inf + 80227 105.224 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 105.224 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 105.225 * * * * [progress]: [ 56 / 5906 ] simplifiying candidate # 105.226 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 105.226 * * [simplify]: iters left: 6 (48 enodes) 105.250 * * [simplify]: iters left: 5 (230 enodes) 105.343 * * [simplify]: Extracting #0: cost 1 inf + 0 105.343 * * [simplify]: Extracting #1: cost 3 inf + 0 105.343 * * [simplify]: Extracting #2: cost 10 inf + 0 105.343 * * [simplify]: Extracting #3: cost 70 inf + 0 105.344 * * [simplify]: Extracting #4: cost 124 inf + 42 105.344 * * [simplify]: Extracting #5: cost 163 inf + 249 105.346 * * [simplify]: Extracting #6: cost 225 inf + 1762 105.349 * * [simplify]: Extracting #7: cost 198 inf + 8975 105.355 * * [simplify]: Extracting #8: cost 152 inf + 18092 105.363 * * [simplify]: Extracting #9: cost 93 inf + 37337 105.373 * * [simplify]: Extracting #10: cost 42 inf + 60418 105.390 * * [simplify]: Extracting #11: cost 7 inf + 91013 105.413 * * [simplify]: Extracting #12: cost 0 inf + 99788 105.434 * * [simplify]: Extracting #13: cost 0 inf + 99468 105.464 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 105.464 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 105.465 * * * * [progress]: [ 57 / 5906 ] simplifiying candidate # 105.466 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 105.466 * * [simplify]: iters left: 6 (43 enodes) 105.487 * * [simplify]: iters left: 5 (202 enodes) 105.568 * * [simplify]: Extracting #0: cost 1 inf + 0 105.568 * * [simplify]: Extracting #1: cost 3 inf + 0 105.569 * * [simplify]: Extracting #2: cost 10 inf + 0 105.569 * * [simplify]: Extracting #3: cost 61 inf + 0 105.569 * * [simplify]: Extracting #4: cost 105 inf + 44 105.570 * * [simplify]: Extracting #5: cost 131 inf + 659 105.572 * * [simplify]: Extracting #6: cost 187 inf + 2856 105.575 * * [simplify]: Extracting #7: cost 182 inf + 5296 105.579 * * [simplify]: Extracting #8: cost 142 inf + 12500 105.588 * * [simplify]: Extracting #9: cost 99 inf + 26390 105.605 * * [simplify]: Extracting #10: cost 36 inf + 51766 105.633 * * [simplify]: Extracting #11: cost 5 inf + 75222 105.661 * * [simplify]: Extracting #12: cost 0 inf + 80627 105.678 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 105.678 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 105.679 * * * * [progress]: [ 58 / 5906 ] simplifiying candidate # 105.679 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 105.680 * * [simplify]: iters left: 6 (45 enodes) 105.697 * * [simplify]: iters left: 5 (216 enodes) 105.787 * * [simplify]: Extracting #0: cost 1 inf + 0 105.787 * * [simplify]: Extracting #1: cost 3 inf + 0 105.787 * * [simplify]: Extracting #2: cost 6 inf + 0 105.787 * * [simplify]: Extracting #3: cost 52 inf + 0 105.788 * * [simplify]: Extracting #4: cost 118 inf + 0 105.789 * * [simplify]: Extracting #5: cost 184 inf + 0 105.790 * * [simplify]: Extracting #6: cost 249 inf + 251 105.794 * * [simplify]: Extracting #7: cost 201 inf + 12178 105.801 * * [simplify]: Extracting #8: cost 144 inf + 20190 105.812 * * [simplify]: Extracting #9: cost 96 inf + 35294 105.835 * * [simplify]: Extracting #10: cost 44 inf + 60724 105.870 * * [simplify]: Extracting #11: cost 8 inf + 94294 105.893 * * [simplify]: Extracting #12: cost 0 inf + 102334 105.921 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) 105.921 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 105.922 * * * * [progress]: [ 59 / 5906 ] simplifiying candidate # 105.923 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 105.923 * * [simplify]: iters left: 6 (46 enodes) 105.949 * * [simplify]: iters left: 5 (225 enodes) 106.025 * * [simplify]: Extracting #0: cost 1 inf + 0 106.025 * * [simplify]: Extracting #1: cost 3 inf + 0 106.025 * * [simplify]: Extracting #2: cost 6 inf + 0 106.025 * * [simplify]: Extracting #3: cost 56 inf + 0 106.026 * * [simplify]: Extracting #4: cost 141 inf + 0 106.027 * * [simplify]: Extracting #5: cost 197 inf + 126 106.029 * * [simplify]: Extracting #6: cost 240 inf + 5276 106.033 * * [simplify]: Extracting #7: cost 191 inf + 15839 106.042 * * [simplify]: Extracting #8: cost 131 inf + 28883 106.058 * * [simplify]: Extracting #9: cost 68 inf + 51244 106.090 * * [simplify]: Extracting #10: cost 17 inf + 89238 106.134 * * [simplify]: Extracting #11: cost 0 inf + 105391 106.177 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 106.177 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 106.178 * * * * [progress]: [ 60 / 5906 ] simplifiying candidate # 106.178 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 106.179 * * [simplify]: iters left: 6 (46 enodes) 106.192 * * [simplify]: iters left: 5 (225 enodes) 106.241 * * [simplify]: Extracting #0: cost 1 inf + 0 106.241 * * [simplify]: Extracting #1: cost 3 inf + 0 106.241 * * [simplify]: Extracting #2: cost 6 inf + 0 106.241 * * [simplify]: Extracting #3: cost 58 inf + 0 106.241 * * [simplify]: Extracting #4: cost 139 inf + 0 106.242 * * [simplify]: Extracting #5: cost 193 inf + 126 106.242 * * [simplify]: Extracting #6: cost 236 inf + 4604 106.245 * * [simplify]: Extracting #7: cost 194 inf + 14094 106.248 * * [simplify]: Extracting #8: cost 148 inf + 21805 106.258 * * [simplify]: Extracting #9: cost 101 inf + 34075 106.269 * * [simplify]: Extracting #10: cost 49 inf + 59672 106.288 * * [simplify]: Extracting #11: cost 1 inf + 101238 106.326 * * [simplify]: Extracting #12: cost 0 inf + 102983 106.370 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 106.370 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 106.371 * * * * [progress]: [ 61 / 5906 ] simplifiying candidate # 106.372 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 106.372 * * [simplify]: iters left: 6 (40 enodes) 106.390 * * [simplify]: iters left: 5 (189 enodes) 106.438 * * [simplify]: Extracting #0: cost 1 inf + 0 106.438 * * [simplify]: Extracting #1: cost 3 inf + 0 106.438 * * [simplify]: Extracting #2: cost 6 inf + 0 106.438 * * [simplify]: Extracting #3: cost 50 inf + 0 106.438 * * [simplify]: Extracting #4: cost 107 inf + 0 106.439 * * [simplify]: Extracting #5: cost 142 inf + 44 106.441 * * [simplify]: Extracting #6: cost 186 inf + 2083 106.443 * * [simplify]: Extracting #7: cost 183 inf + 3268 106.447 * * [simplify]: Extracting #8: cost 106 inf + 22250 106.455 * * [simplify]: Extracting #9: cost 54 inf + 45401 106.473 * * [simplify]: Extracting #10: cost 8 inf + 76859 106.490 * * [simplify]: Extracting #11: cost 0 inf + 81722 106.522 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))))) (* (cbrt (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))))))) 106.522 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))))) (* (cbrt (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 106.523 * * * * [progress]: [ 62 / 5906 ] simplifiying candidate # 106.524 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 106.524 * * [simplify]: iters left: 6 (45 enodes) 106.547 * * [simplify]: iters left: 5 (217 enodes) 106.630 * * [simplify]: Extracting #0: cost 1 inf + 0 106.630 * * [simplify]: Extracting #1: cost 3 inf + 0 106.630 * * [simplify]: Extracting #2: cost 10 inf + 0 106.630 * * [simplify]: Extracting #3: cost 70 inf + 0 106.630 * * [simplify]: Extracting #4: cost 125 inf + 1 106.631 * * [simplify]: Extracting #5: cost 166 inf + 124 106.631 * * [simplify]: Extracting #6: cost 225 inf + 1043 106.633 * * [simplify]: Extracting #7: cost 201 inf + 7933 106.636 * * [simplify]: Extracting #8: cost 116 inf + 28462 106.645 * * [simplify]: Extracting #9: cost 45 inf + 58597 106.675 * * [simplify]: Extracting #10: cost 2 inf + 94643 106.698 * * [simplify]: Extracting #11: cost 0 inf + 96413 106.721 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) 106.721 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 106.721 * * * * [progress]: [ 63 / 5906 ] simplifiying candidate # 106.722 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 106.722 * * [simplify]: iters left: 6 (40 enodes) 106.735 * * [simplify]: iters left: 5 (189 enodes) 106.788 * * [simplify]: Extracting #0: cost 1 inf + 0 106.788 * * [simplify]: Extracting #1: cost 3 inf + 0 106.788 * * [simplify]: Extracting #2: cost 10 inf + 0 106.788 * * [simplify]: Extracting #3: cost 62 inf + 0 106.788 * * [simplify]: Extracting #4: cost 104 inf + 86 106.789 * * [simplify]: Extracting #5: cost 118 inf + 2364 106.790 * * [simplify]: Extracting #6: cost 179 inf + 2932 106.791 * * [simplify]: Extracting #7: cost 183 inf + 3223 106.795 * * [simplify]: Extracting #8: cost 108 inf + 21015 106.809 * * [simplify]: Extracting #9: cost 54 inf + 44196 106.835 * * [simplify]: Extracting #10: cost 12 inf + 68175 106.864 * * [simplify]: Extracting #11: cost 0 inf + 79252 106.892 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 106.892 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 106.893 * * * * [progress]: [ 64 / 5906 ] simplifiying candidate # 106.893 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 106.894 * * [simplify]: iters left: 6 (45 enodes) 106.918 * * [simplify]: iters left: 5 (217 enodes) 107.011 * * [simplify]: Extracting #0: cost 1 inf + 0 107.011 * * [simplify]: Extracting #1: cost 3 inf + 0 107.011 * * [simplify]: Extracting #2: cost 10 inf + 0 107.011 * * [simplify]: Extracting #3: cost 70 inf + 0 107.012 * * [simplify]: Extracting #4: cost 125 inf + 1 107.013 * * [simplify]: Extracting #5: cost 163 inf + 289 107.015 * * [simplify]: Extracting #6: cost 218 inf + 2521 107.019 * * [simplify]: Extracting #7: cost 200 inf + 8137 107.028 * * [simplify]: Extracting #8: cost 116 inf + 28806 107.046 * * [simplify]: Extracting #9: cost 44 inf + 60382 107.079 * * [simplify]: Extracting #10: cost 2 inf + 95443 107.116 * * [simplify]: Extracting #11: cost 0 inf + 97373 107.138 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) 107.138 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 107.139 * * * * [progress]: [ 65 / 5906 ] simplifiying candidate # 107.139 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 107.140 * * [simplify]: iters left: 6 (40 enodes) 107.164 * * [simplify]: iters left: 5 (189 enodes) 107.209 * * [simplify]: Extracting #0: cost 1 inf + 0 107.209 * * [simplify]: Extracting #1: cost 3 inf + 0 107.209 * * [simplify]: Extracting #2: cost 10 inf + 0 107.210 * * [simplify]: Extracting #3: cost 61 inf + 0 107.210 * * [simplify]: Extracting #4: cost 104 inf + 86 107.210 * * [simplify]: Extracting #5: cost 119 inf + 2242 107.211 * * [simplify]: Extracting #6: cost 179 inf + 2932 107.213 * * [simplify]: Extracting #7: cost 184 inf + 3182 107.217 * * [simplify]: Extracting #8: cost 108 inf + 20511 107.224 * * [simplify]: Extracting #9: cost 54 inf + 44537 107.238 * * [simplify]: Extracting #10: cost 10 inf + 70052 107.269 * * [simplify]: Extracting #11: cost 0 inf + 79652 107.297 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 107.297 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 107.298 * * * * [progress]: [ 66 / 5906 ] simplifiying candidate # 107.298 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 107.299 * * [simplify]: iters left: 6 (48 enodes) 107.312 * * [simplify]: iters left: 5 (229 enodes) 107.369 * * [simplify]: Extracting #0: cost 1 inf + 0 107.369 * * [simplify]: Extracting #1: cost 3 inf + 0 107.369 * * [simplify]: Extracting #2: cost 6 inf + 0 107.369 * * [simplify]: Extracting #3: cost 52 inf + 0 107.370 * * [simplify]: Extracting #4: cost 118 inf + 0 107.370 * * [simplify]: Extracting #5: cost 185 inf + 0 107.372 * * [simplify]: Extracting #6: cost 253 inf + 1134 107.375 * * [simplify]: Extracting #7: cost 218 inf + 10033 107.385 * * [simplify]: Extracting #8: cost 117 inf + 37144 107.397 * * [simplify]: Extracting #9: cost 42 inf + 62859 107.416 * * [simplify]: Extracting #10: cost 5 inf + 100504 107.455 * * [simplify]: Extracting #11: cost 0 inf + 107109 107.478 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 107.478 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 107.479 * * * * [progress]: [ 67 / 5906 ] simplifiying candidate # 107.479 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 107.480 * * [simplify]: iters left: 6 (49 enodes) 107.507 * * [simplify]: iters left: 5 (238 enodes) 107.575 * * [simplify]: Extracting #0: cost 1 inf + 0 107.575 * * [simplify]: Extracting #1: cost 3 inf + 0 107.575 * * [simplify]: Extracting #2: cost 6 inf + 0 107.575 * * [simplify]: Extracting #3: cost 56 inf + 0 107.575 * * [simplify]: Extracting #4: cost 141 inf + 0 107.576 * * [simplify]: Extracting #5: cost 197 inf + 207 107.579 * * [simplify]: Extracting #6: cost 227 inf + 5660 107.584 * * [simplify]: Extracting #7: cost 198 inf + 13297 107.598 * * [simplify]: Extracting #8: cost 120 inf + 32425 107.618 * * [simplify]: Extracting #9: cost 49 inf + 61323 107.652 * * [simplify]: Extracting #10: cost 5 inf + 101601 107.693 * * [simplify]: Extracting #11: cost 0 inf + 108006 107.736 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ lambda2 lambda1)))))) 107.736 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 107.737 * * * * [progress]: [ 68 / 5906 ] simplifiying candidate # 107.737 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 107.738 * * [simplify]: iters left: 6 (49 enodes) 107.765 * * [simplify]: iters left: 5 (238 enodes) 107.831 * * [simplify]: Extracting #0: cost 1 inf + 0 107.831 * * [simplify]: Extracting #1: cost 3 inf + 0 107.831 * * [simplify]: Extracting #2: cost 6 inf + 0 107.831 * * [simplify]: Extracting #3: cost 58 inf + 0 107.832 * * [simplify]: Extracting #4: cost 139 inf + 0 107.833 * * [simplify]: Extracting #5: cost 194 inf + 85 107.836 * * [simplify]: Extracting #6: cost 225 inf + 5618 107.841 * * [simplify]: Extracting #7: cost 193 inf + 14934 107.848 * * [simplify]: Extracting #8: cost 119 inf + 34433 107.859 * * [simplify]: Extracting #9: cost 40 inf + 66318 107.880 * * [simplify]: Extracting #10: cost 6 inf + 97728 107.914 * * [simplify]: Extracting #11: cost 0 inf + 105518 107.952 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ lambda2 lambda1)))))) 107.952 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 107.952 * * * * [progress]: [ 69 / 5906 ] simplifiying candidate # 107.953 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 107.953 * * [simplify]: iters left: 6 (43 enodes) 107.964 * * [simplify]: iters left: 5 (202 enodes) 108.016 * * [simplify]: Extracting #0: cost 1 inf + 0 108.016 * * [simplify]: Extracting #1: cost 3 inf + 0 108.016 * * [simplify]: Extracting #2: cost 6 inf + 0 108.016 * * [simplify]: Extracting #3: cost 50 inf + 0 108.017 * * [simplify]: Extracting #4: cost 107 inf + 0 108.017 * * [simplify]: Extracting #5: cost 142 inf + 126 108.018 * * [simplify]: Extracting #6: cost 197 inf + 1724 108.019 * * [simplify]: Extracting #7: cost 181 inf + 5544 108.022 * * [simplify]: Extracting #8: cost 114 inf + 21680 108.035 * * [simplify]: Extracting #9: cost 30 inf + 66644 108.052 * * [simplify]: Extracting #10: cost 2 inf + 84723 108.083 * * [simplify]: Extracting #11: cost 0 inf + 85377 108.102 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))))))) 108.102 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 108.102 * * * * [progress]: [ 70 / 5906 ] simplifiying candidate # 108.103 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 108.103 * * [simplify]: iters left: 6 (48 enodes) 108.121 * * [simplify]: iters left: 5 (230 enodes) 108.211 * * [simplify]: Extracting #0: cost 1 inf + 0 108.211 * * [simplify]: Extracting #1: cost 3 inf + 0 108.211 * * [simplify]: Extracting #2: cost 10 inf + 0 108.211 * * [simplify]: Extracting #3: cost 70 inf + 0 108.212 * * [simplify]: Extracting #4: cost 124 inf + 42 108.213 * * [simplify]: Extracting #5: cost 165 inf + 207 108.214 * * [simplify]: Extracting #6: cost 221 inf + 2169 108.217 * * [simplify]: Extracting #7: cost 198 inf + 8724 108.223 * * [simplify]: Extracting #8: cost 150 inf + 18164 108.237 * * [simplify]: Extracting #9: cost 94 inf + 38376 108.257 * * [simplify]: Extracting #10: cost 38 inf + 62278 108.277 * * [simplify]: Extracting #11: cost 6 inf + 92598 108.299 * * [simplify]: Extracting #12: cost 0 inf + 99788 108.320 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 108.320 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 108.320 * * * * [progress]: [ 71 / 5906 ] simplifiying candidate # 108.321 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 108.321 * * [simplify]: iters left: 6 (43 enodes) 108.332 * * [simplify]: iters left: 5 (202 enodes) 108.373 * * [simplify]: Extracting #0: cost 1 inf + 0 108.373 * * [simplify]: Extracting #1: cost 3 inf + 0 108.373 * * [simplify]: Extracting #2: cost 10 inf + 0 108.373 * * [simplify]: Extracting #3: cost 62 inf + 0 108.373 * * [simplify]: Extracting #4: cost 104 inf + 86 108.374 * * [simplify]: Extracting #5: cost 130 inf + 742 108.375 * * [simplify]: Extracting #6: cost 187 inf + 2976 108.376 * * [simplify]: Extracting #7: cost 191 inf + 3877 108.378 * * [simplify]: Extracting #8: cost 144 inf + 13137 108.384 * * [simplify]: Extracting #9: cost 79 inf + 36084 108.394 * * [simplify]: Extracting #10: cost 27 inf + 57338 108.417 * * [simplify]: Extracting #11: cost 4 inf + 76247 108.435 * * [simplify]: Extracting #12: cost 0 inf + 80787 108.464 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1))))) 108.464 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 108.465 * * * * [progress]: [ 72 / 5906 ] simplifiying candidate # 108.466 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 108.466 * * [simplify]: iters left: 6 (48 enodes) 108.491 * * [simplify]: iters left: 5 (230 enodes) 108.584 * * [simplify]: Extracting #0: cost 1 inf + 0 108.584 * * [simplify]: Extracting #1: cost 3 inf + 0 108.584 * * [simplify]: Extracting #2: cost 10 inf + 0 108.584 * * [simplify]: Extracting #3: cost 70 inf + 0 108.585 * * [simplify]: Extracting #4: cost 124 inf + 42 108.586 * * [simplify]: Extracting #5: cost 164 inf + 249 108.587 * * [simplify]: Extracting #6: cost 225 inf + 1683 108.590 * * [simplify]: Extracting #7: cost 213 inf + 6245 108.595 * * [simplify]: Extracting #8: cost 155 inf + 16320 108.607 * * [simplify]: Extracting #9: cost 94 inf + 38073 108.627 * * [simplify]: Extracting #10: cost 38 inf + 62998 108.660 * * [simplify]: Extracting #11: cost 6 inf + 93238 108.701 * * [simplify]: Extracting #12: cost 0 inf + 100428 108.741 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 108.742 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 108.743 * * * * [progress]: [ 73 / 5906 ] simplifiying candidate # 108.743 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 108.744 * * [simplify]: iters left: 6 (43 enodes) 108.771 * * [simplify]: iters left: 5 (202 enodes) 108.846 * * [simplify]: Extracting #0: cost 1 inf + 0 108.846 * * [simplify]: Extracting #1: cost 3 inf + 0 108.846 * * [simplify]: Extracting #2: cost 10 inf + 0 108.847 * * [simplify]: Extracting #3: cost 61 inf + 0 108.847 * * [simplify]: Extracting #4: cost 105 inf + 44 108.847 * * [simplify]: Extracting #5: cost 129 inf + 984 108.848 * * [simplify]: Extracting #6: cost 185 inf + 3060 108.849 * * [simplify]: Extracting #7: cost 183 inf + 5015 108.852 * * [simplify]: Extracting #8: cost 142 inf + 12421 108.856 * * [simplify]: Extracting #9: cost 98 inf + 26135 108.865 * * [simplify]: Extracting #10: cost 37 inf + 51682 108.879 * * [simplify]: Extracting #11: cost 3 inf + 77512 108.899 * * [simplify]: Extracting #12: cost 0 inf + 81187 108.917 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 108.917 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 108.917 * * * * [progress]: [ 74 / 5906 ] simplifiying candidate # 108.918 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 108.918 * * [simplify]: iters left: 6 (47 enodes) 108.930 * * [simplify]: iters left: 5 (229 enodes) 108.994 * * [simplify]: Extracting #0: cost 1 inf + 0 108.994 * * [simplify]: Extracting #1: cost 3 inf + 0 108.994 * * [simplify]: Extracting #2: cost 6 inf + 0 108.994 * * [simplify]: Extracting #3: cost 48 inf + 0 108.994 * * [simplify]: Extracting #4: cost 112 inf + 0 108.994 * * [simplify]: Extracting #5: cost 183 inf + 0 108.995 * * [simplify]: Extracting #6: cost 267 inf + 210 108.997 * * [simplify]: Extracting #7: cost 242 inf + 6825 109.000 * * [simplify]: Extracting #8: cost 166 inf + 19672 109.006 * * [simplify]: Extracting #9: cost 91 inf + 42045 109.018 * * [simplify]: Extracting #10: cost 37 inf + 70495 109.051 * * [simplify]: Extracting #11: cost 11 inf + 95461 109.094 * * [simplify]: Extracting #12: cost 0 inf + 109376 109.142 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) 109.143 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 109.143 * * * * [progress]: [ 75 / 5906 ] simplifiying candidate # 109.144 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 109.144 * * [simplify]: iters left: 6 (48 enodes) 109.157 * * [simplify]: iters left: 5 (238 enodes) 109.233 * * [simplify]: Extracting #0: cost 1 inf + 0 109.233 * * [simplify]: Extracting #1: cost 3 inf + 0 109.233 * * [simplify]: Extracting #2: cost 6 inf + 0 109.233 * * [simplify]: Extracting #3: cost 52 inf + 0 109.234 * * [simplify]: Extracting #4: cost 135 inf + 0 109.234 * * [simplify]: Extracting #5: cost 191 inf + 534 109.236 * * [simplify]: Extracting #6: cost 234 inf + 6500 109.238 * * [simplify]: Extracting #7: cost 220 inf + 12338 109.243 * * [simplify]: Extracting #8: cost 152 inf + 28166 109.251 * * [simplify]: Extracting #9: cost 74 inf + 50773 109.267 * * [simplify]: Extracting #10: cost 20 inf + 87943 109.289 * * [simplify]: Extracting #11: cost 1 inf + 106008 109.312 * * [simplify]: Extracting #12: cost 0 inf + 107833 109.345 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 109.345 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 109.346 * * * * [progress]: [ 76 / 5906 ] simplifiying candidate # 109.347 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 109.347 * * [simplify]: iters left: 6 (48 enodes) 109.365 * * [simplify]: iters left: 5 (238 enodes) 109.441 * * [simplify]: Extracting #0: cost 1 inf + 0 109.441 * * [simplify]: Extracting #1: cost 3 inf + 0 109.441 * * [simplify]: Extracting #2: cost 6 inf + 0 109.441 * * [simplify]: Extracting #3: cost 54 inf + 0 109.442 * * [simplify]: Extracting #4: cost 133 inf + 0 109.443 * * [simplify]: Extracting #5: cost 190 inf + 169 109.445 * * [simplify]: Extracting #6: cost 252 inf + 3121 109.449 * * [simplify]: Extracting #7: cost 222 inf + 13014 109.459 * * [simplify]: Extracting #8: cost 136 inf + 32781 109.479 * * [simplify]: Extracting #9: cost 53 inf + 61705 109.513 * * [simplify]: Extracting #10: cost 16 inf + 94776 109.557 * * [simplify]: Extracting #11: cost 0 inf + 109785 109.599 * * [simplify]: Extracting #12: cost 0 inf + 108585 109.642 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ phi2 phi1)))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 109.642 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ phi2 phi1)))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 109.643 * * * * [progress]: [ 77 / 5906 ] simplifiying candidate # 109.643 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 109.644 * * [simplify]: iters left: 6 (42 enodes) 109.664 * * [simplify]: iters left: 5 (203 enodes) 109.736 * * [simplify]: Extracting #0: cost 1 inf + 0 109.736 * * [simplify]: Extracting #1: cost 3 inf + 0 109.736 * * [simplify]: Extracting #2: cost 6 inf + 0 109.736 * * [simplify]: Extracting #3: cost 46 inf + 0 109.737 * * [simplify]: Extracting #4: cost 101 inf + 0 109.737 * * [simplify]: Extracting #5: cost 141 inf + 44 109.738 * * [simplify]: Extracting #6: cost 208 inf + 1675 109.740 * * [simplify]: Extracting #7: cost 210 inf + 3101 109.746 * * [simplify]: Extracting #8: cost 130 inf + 20883 109.761 * * [simplify]: Extracting #9: cost 70 inf + 40296 109.781 * * [simplify]: Extracting #10: cost 34 inf + 63140 109.814 * * [simplify]: Extracting #11: cost 3 inf + 88893 109.834 * * [simplify]: Extracting #12: cost 0 inf + 88924 109.858 * * [simplify]: Extracting #13: cost 0 inf + 88364 109.895 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 109.896 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 109.897 * * * * [progress]: [ 78 / 5906 ] simplifiying candidate # 109.897 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 109.898 * * [simplify]: iters left: 6 (47 enodes) 109.926 * * [simplify]: iters left: 5 (231 enodes) 110.005 * * [simplify]: Extracting #0: cost 1 inf + 0 110.005 * * [simplify]: Extracting #1: cost 3 inf + 0 110.005 * * [simplify]: Extracting #2: cost 10 inf + 0 110.006 * * [simplify]: Extracting #3: cost 62 inf + 0 110.006 * * [simplify]: Extracting #4: cost 115 inf + 42 110.006 * * [simplify]: Extracting #5: cost 158 inf + 290 110.007 * * [simplify]: Extracting #6: cost 226 inf + 2768 110.009 * * [simplify]: Extracting #7: cost 217 inf + 7796 110.012 * * [simplify]: Extracting #8: cost 149 inf + 23535 110.028 * * [simplify]: Extracting #9: cost 60 inf + 55784 110.057 * * [simplify]: Extracting #10: cost 9 inf + 90527 110.078 * * [simplify]: Extracting #11: cost 0 inf + 98580 110.108 * * [simplify]: Extracting #12: cost 0 inf + 97700 110.129 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) 110.129 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 110.130 * * * * [progress]: [ 79 / 5906 ] simplifiying candidate # 110.131 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 110.131 * * [simplify]: iters left: 6 (42 enodes) 110.143 * * [simplify]: iters left: 5 (204 enodes) 110.198 * * [simplify]: Extracting #0: cost 1 inf + 0 110.198 * * [simplify]: Extracting #1: cost 3 inf + 0 110.198 * * [simplify]: Extracting #2: cost 10 inf + 0 110.199 * * [simplify]: Extracting #3: cost 54 inf + 0 110.199 * * [simplify]: Extracting #4: cost 95 inf + 86 110.200 * * [simplify]: Extracting #5: cost 119 inf + 1675 110.202 * * [simplify]: Extracting #6: cost 195 inf + 2770 110.204 * * [simplify]: Extracting #7: cost 204 inf + 3182 110.208 * * [simplify]: Extracting #8: cost 168 inf + 7773 110.217 * * [simplify]: Extracting #9: cost 94 inf + 29047 110.243 * * [simplify]: Extracting #10: cost 23 inf + 66697 110.272 * * [simplify]: Extracting #11: cost 1 inf + 81914 110.292 * * [simplify]: Extracting #12: cost 0 inf + 83499 110.310 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (+ phi2 phi1) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) 110.310 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (+ phi2 phi1) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 110.311 * * * * [progress]: [ 80 / 5906 ] simplifiying candidate # 110.311 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 110.312 * * [simplify]: iters left: 6 (47 enodes) 110.330 * * [simplify]: iters left: 5 (231 enodes) 110.397 * * [simplify]: Extracting #0: cost 1 inf + 0 110.397 * * [simplify]: Extracting #1: cost 3 inf + 0 110.397 * * [simplify]: Extracting #2: cost 10 inf + 0 110.397 * * [simplify]: Extracting #3: cost 62 inf + 0 110.398 * * [simplify]: Extracting #4: cost 115 inf + 42 110.398 * * [simplify]: Extracting #5: cost 156 inf + 494 110.399 * * [simplify]: Extracting #6: cost 223 inf + 3333 110.401 * * [simplify]: Extracting #7: cost 216 inf + 8048 110.404 * * [simplify]: Extracting #8: cost 149 inf + 24107 110.413 * * [simplify]: Extracting #9: cost 58 inf + 56790 110.431 * * [simplify]: Extracting #10: cost 10 inf + 90243 110.458 * * [simplify]: Extracting #11: cost 0 inf + 99620 110.484 * * [simplify]: Extracting #12: cost 0 inf + 98580 110.527 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) 110.527 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 110.528 * * * * [progress]: [ 81 / 5906 ] simplifiying candidate # 110.529 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 110.529 * * [simplify]: iters left: 6 (42 enodes) 110.540 * * [simplify]: iters left: 5 (204 enodes) 110.597 * * [simplify]: Extracting #0: cost 1 inf + 0 110.597 * * [simplify]: Extracting #1: cost 3 inf + 0 110.597 * * [simplify]: Extracting #2: cost 10 inf + 0 110.597 * * [simplify]: Extracting #3: cost 53 inf + 0 110.597 * * [simplify]: Extracting #4: cost 96 inf + 44 110.598 * * [simplify]: Extracting #5: cost 124 inf + 1104 110.600 * * [simplify]: Extracting #6: cost 194 inf + 2932 110.602 * * [simplify]: Extracting #7: cost 203 inf + 3264 110.606 * * [simplify]: Extracting #8: cost 167 inf + 7854 110.615 * * [simplify]: Extracting #9: cost 95 inf + 28502 110.644 * * [simplify]: Extracting #10: cost 22 inf + 68602 110.674 * * [simplify]: Extracting #11: cost 0 inf + 83819 110.692 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (+ phi2 phi1) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) 110.692 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (+ phi2 phi1) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 110.693 * * * * [progress]: [ 82 / 5906 ] simplifiying candidate # 110.693 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 110.693 * * [simplify]: iters left: 6 (47 enodes) 110.709 * * [simplify]: iters left: 5 (233 enodes) 110.778 * * [simplify]: Extracting #0: cost 1 inf + 0 110.778 * * [simplify]: Extracting #1: cost 3 inf + 0 110.778 * * [simplify]: Extracting #2: cost 6 inf + 0 110.779 * * [simplify]: Extracting #3: cost 54 inf + 0 110.779 * * [simplify]: Extracting #4: cost 120 inf + 0 110.779 * * [simplify]: Extracting #5: cost 191 inf + 0 110.780 * * [simplify]: Extracting #6: cost 273 inf + 845 110.782 * * [simplify]: Extracting #7: cost 241 inf + 9435 110.786 * * [simplify]: Extracting #8: cost 158 inf + 27905 110.797 * * [simplify]: Extracting #9: cost 88 inf + 49665 110.818 * * [simplify]: Extracting #10: cost 51 inf + 63775 110.831 * * [simplify]: Extracting #11: cost 35 inf + 76135 110.859 * * [simplify]: Extracting #12: cost 7 inf + 105835 110.901 * * [simplify]: Extracting #13: cost 0 inf + 115890 110.925 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) 110.925 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 110.926 * * * * [progress]: [ 83 / 5906 ] simplifiying candidate # 110.927 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 110.927 * * [simplify]: iters left: 6 (48 enodes) 110.952 * * [simplify]: iters left: 5 (242 enodes) 111.057 * * [simplify]: Extracting #0: cost 1 inf + 0 111.057 * * [simplify]: Extracting #1: cost 3 inf + 0 111.057 * * [simplify]: Extracting #2: cost 6 inf + 0 111.057 * * [simplify]: Extracting #3: cost 58 inf + 0 111.058 * * [simplify]: Extracting #4: cost 143 inf + 0 111.059 * * [simplify]: Extracting #5: cost 201 inf + 290 111.062 * * [simplify]: Extracting #6: cost 243 inf + 6378 111.067 * * [simplify]: Extracting #7: cost 227 inf + 13532 111.074 * * [simplify]: Extracting #8: cost 184 inf + 18975 111.085 * * [simplify]: Extracting #9: cost 120 inf + 33813 111.104 * * [simplify]: Extracting #10: cost 67 inf + 56056 111.120 * * [simplify]: Extracting #11: cost 32 inf + 85016 111.148 * * [simplify]: Extracting #12: cost 2 inf + 114457 111.190 * * [simplify]: Extracting #13: cost 0 inf + 116587 111.216 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 111.217 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 111.217 * * * * [progress]: [ 84 / 5906 ] simplifiying candidate # 111.218 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 111.218 * * [simplify]: iters left: 6 (48 enodes) 111.231 * * [simplify]: iters left: 5 (242 enodes) 111.286 * * [simplify]: Extracting #0: cost 1 inf + 0 111.286 * * [simplify]: Extracting #1: cost 3 inf + 0 111.286 * * [simplify]: Extracting #2: cost 6 inf + 0 111.286 * * [simplify]: Extracting #3: cost 60 inf + 0 111.287 * * [simplify]: Extracting #4: cost 141 inf + 0 111.288 * * [simplify]: Extracting #5: cost 199 inf + 127 111.290 * * [simplify]: Extracting #6: cost 264 inf + 2463 111.295 * * [simplify]: Extracting #7: cost 231 inf + 12669 111.305 * * [simplify]: Extracting #8: cost 143 inf + 31580 111.324 * * [simplify]: Extracting #9: cost 70 inf + 55962 111.350 * * [simplify]: Extracting #10: cost 41 inf + 76324 111.373 * * [simplify]: Extracting #11: cost 9 inf + 106674 111.413 * * [simplify]: Extracting #12: cost 0 inf + 115539 111.463 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 111.464 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 111.465 * * * * [progress]: [ 85 / 5906 ] simplifiying candidate # 111.466 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 111.467 * * [simplify]: iters left: 6 (42 enodes) 111.491 * * [simplify]: iters left: 5 (206 enodes) 111.541 * * [simplify]: Extracting #0: cost 1 inf + 0 111.541 * * [simplify]: Extracting #1: cost 3 inf + 0 111.541 * * [simplify]: Extracting #2: cost 6 inf + 0 111.541 * * [simplify]: Extracting #3: cost 52 inf + 0 111.541 * * [simplify]: Extracting #4: cost 109 inf + 0 111.542 * * [simplify]: Extracting #5: cost 149 inf + 44 111.543 * * [simplify]: Extracting #6: cost 219 inf + 1111 111.544 * * [simplify]: Extracting #7: cost 217 inf + 3022 111.546 * * [simplify]: Extracting #8: cost 168 inf + 10039 111.552 * * [simplify]: Extracting #9: cost 108 inf + 25927 111.570 * * [simplify]: Extracting #10: cost 46 inf + 54595 111.595 * * [simplify]: Extracting #11: cost 23 inf + 70583 111.630 * * [simplify]: Extracting #12: cost 1 inf + 92573 111.672 * * [simplify]: Extracting #13: cost 0 inf + 94198 111.711 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 111.711 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 111.712 * * * * [progress]: [ 86 / 5906 ] simplifiying candidate # 111.712 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 111.713 * * [simplify]: iters left: 6 (47 enodes) 111.738 * * [simplify]: iters left: 5 (234 enodes) 111.825 * * [simplify]: Extracting #0: cost 1 inf + 0 111.825 * * [simplify]: Extracting #1: cost 3 inf + 0 111.825 * * [simplify]: Extracting #2: cost 10 inf + 0 111.825 * * [simplify]: Extracting #3: cost 72 inf + 0 111.825 * * [simplify]: Extracting #4: cost 126 inf + 42 111.826 * * [simplify]: Extracting #5: cost 169 inf + 290 111.827 * * [simplify]: Extracting #6: cost 238 inf + 2526 111.828 * * [simplify]: Extracting #7: cost 227 inf + 7506 111.833 * * [simplify]: Extracting #8: cost 142 inf + 29707 111.841 * * [simplify]: Extracting #9: cost 88 inf + 44768 111.856 * * [simplify]: Extracting #10: cost 43 inf + 67934 111.888 * * [simplify]: Extracting #11: cost 8 inf + 96369 111.921 * * [simplify]: Extracting #12: cost 0 inf + 106449 111.959 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 111.959 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 111.960 * * * * [progress]: [ 87 / 5906 ] simplifiying candidate # 111.960 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 111.961 * * [simplify]: iters left: 6 (42 enodes) 111.975 * * [simplify]: iters left: 5 (206 enodes) 112.032 * * [simplify]: Extracting #0: cost 1 inf + 0 112.032 * * [simplify]: Extracting #1: cost 3 inf + 0 112.032 * * [simplify]: Extracting #2: cost 10 inf + 0 112.032 * * [simplify]: Extracting #3: cost 64 inf + 0 112.032 * * [simplify]: Extracting #4: cost 106 inf + 86 112.033 * * [simplify]: Extracting #5: cost 133 inf + 1188 112.034 * * [simplify]: Extracting #6: cost 205 inf + 2932 112.038 * * [simplify]: Extracting #7: cost 216 inf + 3139 112.041 * * [simplify]: Extracting #8: cost 154 inf + 18551 112.052 * * [simplify]: Extracting #9: cost 63 inf + 55788 112.074 * * [simplify]: Extracting #10: cost 36 inf + 66559 112.095 * * [simplify]: Extracting #11: cost 5 inf + 86148 112.119 * * [simplify]: Extracting #12: cost 0 inf + 91088 112.149 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1))))) 112.149 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 112.149 * * * * [progress]: [ 88 / 5906 ] simplifiying candidate # 112.150 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 112.150 * * [simplify]: iters left: 6 (47 enodes) 112.164 * * [simplify]: iters left: 5 (234 enodes) 112.227 * * [simplify]: Extracting #0: cost 1 inf + 0 112.227 * * [simplify]: Extracting #1: cost 3 inf + 0 112.227 * * [simplify]: Extracting #2: cost 10 inf + 0 112.228 * * [simplify]: Extracting #3: cost 72 inf + 0 112.228 * * [simplify]: Extracting #4: cost 126 inf + 42 112.229 * * [simplify]: Extracting #5: cost 168 inf + 332 112.230 * * [simplify]: Extracting #6: cost 236 inf + 3051 112.231 * * [simplify]: Extracting #7: cost 226 inf + 7678 112.236 * * [simplify]: Extracting #8: cost 140 inf + 30662 112.244 * * [simplify]: Extracting #9: cost 82 inf + 49011 112.267 * * [simplify]: Extracting #10: cost 43 inf + 67774 112.288 * * [simplify]: Extracting #11: cost 8 inf + 97329 112.321 * * [simplify]: Extracting #12: cost 0 inf + 107409 112.349 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 112.349 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 112.350 * * * * [progress]: [ 89 / 5906 ] simplifiying candidate # 112.350 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 112.350 * * [simplify]: iters left: 6 (42 enodes) 112.362 * * [simplify]: iters left: 5 (206 enodes) 112.423 * * [simplify]: Extracting #0: cost 1 inf + 0 112.423 * * [simplify]: Extracting #1: cost 3 inf + 0 112.423 * * [simplify]: Extracting #2: cost 10 inf + 0 112.423 * * [simplify]: Extracting #3: cost 63 inf + 0 112.424 * * [simplify]: Extracting #4: cost 107 inf + 44 112.425 * * [simplify]: Extracting #5: cost 135 inf + 1024 112.426 * * [simplify]: Extracting #6: cost 205 inf + 3012 112.429 * * [simplify]: Extracting #7: cost 216 inf + 3139 112.435 * * [simplify]: Extracting #8: cost 156 inf + 18308 112.456 * * [simplify]: Extracting #9: cost 63 inf + 55788 112.482 * * [simplify]: Extracting #10: cost 35 inf + 66851 112.499 * * [simplify]: Extracting #11: cost 6 inf + 86104 112.534 * * [simplify]: Extracting #12: cost 0 inf + 91488 112.553 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1))))) 112.553 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 112.554 * * * * [progress]: [ 90 / 5906 ] simplifiying candidate # 112.554 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 112.554 * * [simplify]: iters left: 6 (51 enodes) 112.576 * * [simplify]: iters left: 5 (252 enodes) 112.646 * * [simplify]: Extracting #0: cost 1 inf + 0 112.646 * * [simplify]: Extracting #1: cost 3 inf + 0 112.646 * * [simplify]: Extracting #2: cost 6 inf + 0 112.646 * * [simplify]: Extracting #3: cost 56 inf + 0 112.646 * * [simplify]: Extracting #4: cost 125 inf + 0 112.647 * * [simplify]: Extracting #5: cost 194 inf + 0 112.647 * * [simplify]: Extracting #6: cost 288 inf + 763 112.650 * * [simplify]: Extracting #7: cost 237 inf + 12000 112.655 * * [simplify]: Extracting #8: cost 150 inf + 28505 112.667 * * [simplify]: Extracting #9: cost 86 inf + 50845 112.691 * * [simplify]: Extracting #10: cost 34 inf + 87876 112.723 * * [simplify]: Extracting #11: cost 4 inf + 116276 112.776 * * [simplify]: Extracting #12: cost 1 inf + 119751 112.808 * * [simplify]: Extracting #13: cost 0 inf + 121576 112.834 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) 112.835 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 112.835 * * * * [progress]: [ 91 / 5906 ] simplifiying candidate # 112.836 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 112.836 * * [simplify]: iters left: 6 (52 enodes) 112.850 * * [simplify]: iters left: 5 (261 enodes) 112.931 * * [simplify]: Extracting #0: cost 1 inf + 0 112.931 * * [simplify]: Extracting #1: cost 3 inf + 0 112.931 * * [simplify]: Extracting #2: cost 6 inf + 0 112.932 * * [simplify]: Extracting #3: cost 60 inf + 0 112.932 * * [simplify]: Extracting #4: cost 148 inf + 0 112.932 * * [simplify]: Extracting #5: cost 206 inf + 126 112.934 * * [simplify]: Extracting #6: cost 264 inf + 4644 112.936 * * [simplify]: Extracting #7: cost 246 inf + 11320 112.940 * * [simplify]: Extracting #8: cost 172 inf + 24961 112.948 * * [simplify]: Extracting #9: cost 119 inf + 38810 112.975 * * [simplify]: Extracting #10: cost 64 inf + 66817 113.000 * * [simplify]: Extracting #11: cost 10 inf + 113583 113.038 * * [simplify]: Extracting #12: cost 1 inf + 121408 113.087 * * [simplify]: Extracting #13: cost 0 inf + 123273 113.115 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) 113.115 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 113.115 * * * * [progress]: [ 92 / 5906 ] simplifiying candidate # 113.116 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 113.116 * * [simplify]: iters left: 6 (52 enodes) 113.131 * * [simplify]: iters left: 5 (261 enodes) 113.214 * * [simplify]: Extracting #0: cost 1 inf + 0 113.214 * * [simplify]: Extracting #1: cost 3 inf + 0 113.214 * * [simplify]: Extracting #2: cost 6 inf + 0 113.214 * * [simplify]: Extracting #3: cost 62 inf + 0 113.214 * * [simplify]: Extracting #4: cost 146 inf + 0 113.215 * * [simplify]: Extracting #5: cost 204 inf + 44 113.219 * * [simplify]: Extracting #6: cost 277 inf + 2673 113.223 * * [simplify]: Extracting #7: cost 248 inf + 11114 113.230 * * [simplify]: Extracting #8: cost 186 inf + 21937 113.241 * * [simplify]: Extracting #9: cost 125 inf + 37107 113.257 * * [simplify]: Extracting #10: cost 38 inf + 89294 113.292 * * [simplify]: Extracting #11: cost 3 inf + 115390 113.322 * * [simplify]: Extracting #12: cost 0 inf + 120945 113.354 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 113.354 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 113.355 * * * * [progress]: [ 93 / 5906 ] simplifiying candidate # 113.355 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 113.355 * * [simplify]: iters left: 6 (46 enodes) 113.367 * * [simplify]: iters left: 5 (225 enodes) 113.434 * * [simplify]: Extracting #0: cost 1 inf + 0 113.434 * * [simplify]: Extracting #1: cost 3 inf + 0 113.434 * * [simplify]: Extracting #2: cost 6 inf + 0 113.435 * * [simplify]: Extracting #3: cost 54 inf + 0 113.435 * * [simplify]: Extracting #4: cost 113 inf + 0 113.435 * * [simplify]: Extracting #5: cost 150 inf + 126 113.436 * * [simplify]: Extracting #6: cost 232 inf + 990 113.437 * * [simplify]: Extracting #7: cost 236 inf + 2051 113.439 * * [simplify]: Extracting #8: cost 160 inf + 15511 113.448 * * [simplify]: Extracting #9: cost 86 inf + 39467 113.466 * * [simplify]: Extracting #10: cost 42 inf + 61528 113.485 * * [simplify]: Extracting #11: cost 1 inf + 94337 113.513 * * [simplify]: Extracting #12: cost 0 inf + 95122 113.534 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))))) 113.534 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 113.535 * * * * [progress]: [ 94 / 5906 ] simplifiying candidate # 113.536 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 113.536 * * [simplify]: iters left: 6 (51 enodes) 113.549 * * [simplify]: iters left: 5 (253 enodes) 113.622 * * [simplify]: Extracting #0: cost 1 inf + 0 113.622 * * [simplify]: Extracting #1: cost 3 inf + 0 113.622 * * [simplify]: Extracting #2: cost 10 inf + 0 113.622 * * [simplify]: Extracting #3: cost 71 inf + 0 113.623 * * [simplify]: Extracting #4: cost 133 inf + 42 113.624 * * [simplify]: Extracting #5: cost 175 inf + 249 113.625 * * [simplify]: Extracting #6: cost 255 inf + 2003 113.627 * * [simplify]: Extracting #7: cost 244 inf + 7206 113.630 * * [simplify]: Extracting #8: cost 172 inf + 20224 113.636 * * [simplify]: Extracting #9: cost 98 inf + 43524 113.650 * * [simplify]: Extracting #10: cost 52 inf + 66628 113.680 * * [simplify]: Extracting #11: cost 24 inf + 90968 113.711 * * [simplify]: Extracting #12: cost 1 inf + 114703 113.747 * * [simplify]: Extracting #13: cost 0 inf + 116488 113.789 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 113.789 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 113.790 * * * * [progress]: [ 95 / 5906 ] simplifiying candidate # 113.790 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 113.790 * * [simplify]: iters left: 6 (46 enodes) 113.805 * * [simplify]: iters left: 5 (225 enodes) 113.858 * * [simplify]: Extracting #0: cost 1 inf + 0 113.858 * * [simplify]: Extracting #1: cost 3 inf + 0 113.858 * * [simplify]: Extracting #2: cost 10 inf + 0 113.858 * * [simplify]: Extracting #3: cost 64 inf + 0 113.859 * * [simplify]: Extracting #4: cost 116 inf + 44 113.859 * * [simplify]: Extracting #5: cost 144 inf + 740 113.860 * * [simplify]: Extracting #6: cost 224 inf + 2770 113.863 * * [simplify]: Extracting #7: cost 230 inf + 3587 113.870 * * [simplify]: Extracting #8: cost 147 inf + 23539 113.889 * * [simplify]: Extracting #9: cost 62 inf + 55642 113.923 * * [simplify]: Extracting #10: cost 24 inf + 76127 113.961 * * [simplify]: Extracting #11: cost 1 inf + 99449 114.004 * * [simplify]: Extracting #12: cost 0 inf + 101114 114.027 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (+ (* (* (+ (* (* lambda1 lambda1) lambda1) (* (- (* lambda2 lambda2)) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* lambda1 lambda1)) (* (* (+ (* (* lambda1 lambda1) lambda1) (* (- (* lambda2 lambda2)) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (cbrt (* (+ (* (* (+ (* (* lambda1 lambda1) lambda1) (* (- (* lambda2 lambda2)) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* lambda1 lambda1)) (* (* (+ (* (* lambda1 lambda1) lambda1) (* (- (* lambda2 lambda2)) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) 114.027 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (+ (* (* (+ (* (* lambda1 lambda1) lambda1) (* (- (* lambda2 lambda2)) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* lambda1 lambda1)) (* (* (+ (* (* lambda1 lambda1) lambda1) (* (- (* lambda2 lambda2)) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (cbrt (* (+ (* (* (+ (* (* lambda1 lambda1) lambda1) (* (- (* lambda2 lambda2)) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* lambda1 lambda1)) (* (* (+ (* (* lambda1 lambda1) lambda1) (* (- (* lambda2 lambda2)) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 114.028 * * * * [progress]: [ 96 / 5906 ] simplifiying candidate # 114.028 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 114.028 * * [simplify]: iters left: 6 (51 enodes) 114.054 * * [simplify]: iters left: 5 (253 enodes) 114.132 * * [simplify]: Extracting #0: cost 1 inf + 0 114.133 * * [simplify]: Extracting #1: cost 3 inf + 0 114.133 * * [simplify]: Extracting #2: cost 10 inf + 0 114.133 * * [simplify]: Extracting #3: cost 71 inf + 0 114.133 * * [simplify]: Extracting #4: cost 133 inf + 42 114.134 * * [simplify]: Extracting #5: cost 175 inf + 248 114.135 * * [simplify]: Extracting #6: cost 250 inf + 3293 114.136 * * [simplify]: Extracting #7: cost 241 inf + 7379 114.139 * * [simplify]: Extracting #8: cost 171 inf + 20304 114.146 * * [simplify]: Extracting #9: cost 101 inf + 42551 114.160 * * [simplify]: Extracting #10: cost 52 inf + 67588 114.191 * * [simplify]: Extracting #11: cost 24 inf + 91928 114.235 * * [simplify]: Extracting #12: cost 1 inf + 115663 114.265 * * [simplify]: Extracting #13: cost 0 inf + 117448 114.291 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 114.291 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 114.292 * * * * [progress]: [ 97 / 5906 ] simplifiying candidate # 114.292 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 114.293 * * [simplify]: iters left: 6 (46 enodes) 114.320 * * [simplify]: iters left: 5 (225 enodes) 114.390 * * [simplify]: Extracting #0: cost 1 inf + 0 114.390 * * [simplify]: Extracting #1: cost 3 inf + 0 114.390 * * [simplify]: Extracting #2: cost 10 inf + 0 114.390 * * [simplify]: Extracting #3: cost 63 inf + 0 114.390 * * [simplify]: Extracting #4: cost 116 inf + 44 114.391 * * [simplify]: Extracting #5: cost 143 inf + 782 114.392 * * [simplify]: Extracting #6: cost 223 inf + 2932 114.393 * * [simplify]: Extracting #7: cost 231 inf + 3425 114.396 * * [simplify]: Extracting #8: cost 152 inf + 21335 114.411 * * [simplify]: Extracting #9: cost 62 inf + 55823 114.440 * * [simplify]: Extracting #10: cost 24 inf + 76569 114.461 * * [simplify]: Extracting #11: cost 3 inf + 94639 114.481 * * [simplify]: Extracting #12: cost 0 inf + 99354 114.514 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 114.514 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 114.515 * * * * [progress]: [ 98 / 5906 ] simplifiying candidate # 114.516 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 114.516 * * [simplify]: iters left: 6 (51 enodes) 114.542 * * [simplify]: iters left: 5 (256 enodes) 114.651 * * [simplify]: Extracting #0: cost 1 inf + 0 114.651 * * [simplify]: Extracting #1: cost 3 inf + 0 114.651 * * [simplify]: Extracting #2: cost 6 inf + 0 114.651 * * [simplify]: Extracting #3: cost 56 inf + 0 114.652 * * [simplify]: Extracting #4: cost 130 inf + 0 114.652 * * [simplify]: Extracting #5: cost 213 inf + 0 114.653 * * [simplify]: Extracting #6: cost 309 inf + 763 114.655 * * [simplify]: Extracting #7: cost 261 inf + 11142 114.660 * * [simplify]: Extracting #8: cost 145 inf + 39279 114.673 * * [simplify]: Extracting #9: cost 59 inf + 70162 114.712 * * [simplify]: Extracting #10: cost 12 inf + 113702 114.744 * * [simplify]: Extracting #11: cost 1 inf + 129017 114.785 * * [simplify]: Extracting #12: cost 0 inf + 131082 114.812 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 114.812 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 114.813 * * * * [progress]: [ 99 / 5906 ] simplifiying candidate # 114.813 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 114.814 * * [simplify]: iters left: 6 (52 enodes) 114.843 * * [simplify]: iters left: 5 (265 enodes) 114.906 * * [simplify]: Extracting #0: cost 1 inf + 0 114.906 * * [simplify]: Extracting #1: cost 3 inf + 0 114.906 * * [simplify]: Extracting #2: cost 6 inf + 0 114.906 * * [simplify]: Extracting #3: cost 60 inf + 0 114.906 * * [simplify]: Extracting #4: cost 153 inf + 0 114.907 * * [simplify]: Extracting #5: cost 226 inf + 85 114.908 * * [simplify]: Extracting #6: cost 288 inf + 4880 114.911 * * [simplify]: Extracting #7: cost 254 inf + 12419 114.925 * * [simplify]: Extracting #8: cost 147 inf + 39204 114.948 * * [simplify]: Extracting #9: cost 65 inf + 70601 114.977 * * [simplify]: Extracting #10: cost 13 inf + 116157 115.004 * * [simplify]: Extracting #11: cost 0 inf + 132699 115.031 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 115.031 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 115.032 * * * * [progress]: [ 100 / 5906 ] simplifiying candidate # 115.032 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 115.033 * * [simplify]: iters left: 6 (52 enodes) 115.047 * * [simplify]: iters left: 5 (265 enodes) 115.111 * * [simplify]: Extracting #0: cost 1 inf + 0 115.111 * * [simplify]: Extracting #1: cost 3 inf + 0 115.111 * * [simplify]: Extracting #2: cost 6 inf + 0 115.112 * * [simplify]: Extracting #3: cost 62 inf + 0 115.116 * * [simplify]: Extracting #4: cost 151 inf + 0 115.117 * * [simplify]: Extracting #5: cost 217 inf + 451 115.120 * * [simplify]: Extracting #6: cost 287 inf + 3631 115.125 * * [simplify]: Extracting #7: cost 249 inf + 13725 115.133 * * [simplify]: Extracting #8: cost 176 inf + 26239 115.151 * * [simplify]: Extracting #9: cost 99 inf + 55168 115.178 * * [simplify]: Extracting #10: cost 49 inf + 81106 115.206 * * [simplify]: Extracting #11: cost 11 inf + 116616 115.232 * * [simplify]: Extracting #12: cost 0 inf + 131851 115.261 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (+ phi2 phi1) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))))))) 115.261 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (+ phi2 phi1) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 115.262 * * * * [progress]: [ 101 / 5906 ] simplifiying candidate # 115.262 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 115.262 * * [simplify]: iters left: 6 (46 enodes) 115.274 * * [simplify]: iters left: 5 (229 enodes) 115.360 * * [simplify]: Extracting #0: cost 1 inf + 0 115.360 * * [simplify]: Extracting #1: cost 3 inf + 0 115.361 * * [simplify]: Extracting #2: cost 6 inf + 0 115.361 * * [simplify]: Extracting #3: cost 54 inf + 0 115.361 * * [simplify]: Extracting #4: cost 119 inf + 0 115.362 * * [simplify]: Extracting #5: cost 168 inf + 249 115.364 * * [simplify]: Extracting #6: cost 246 inf + 2206 115.367 * * [simplify]: Extracting #7: cost 251 inf + 2898 115.374 * * [simplify]: Extracting #8: cost 158 inf + 22030 115.391 * * [simplify]: Extracting #9: cost 78 inf + 49661 115.422 * * [simplify]: Extracting #10: cost 35 inf + 83130 115.465 * * [simplify]: Extracting #11: cost 8 inf + 104739 115.513 * * [simplify]: Extracting #12: cost 0 inf + 111870 116.193 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (* (* lambda1 lambda1) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ phi2 phi1) (+ phi2 phi1))))) 116.193 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (* (* lambda1 lambda1) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ phi2 phi1) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 116.194 * * * * [progress]: [ 102 / 5906 ] simplifiying candidate # 116.194 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 116.195 * * [simplify]: iters left: 6 (51 enodes) 116.218 * * [simplify]: iters left: 5 (257 enodes) 116.318 * * [simplify]: Extracting #0: cost 1 inf + 0 116.318 * * [simplify]: Extracting #1: cost 3 inf + 0 116.318 * * [simplify]: Extracting #2: cost 10 inf + 0 116.318 * * [simplify]: Extracting #3: cost 74 inf + 0 116.318 * * [simplify]: Extracting #4: cost 136 inf + 42 116.319 * * [simplify]: Extracting #5: cost 192 inf + 249 116.321 * * [simplify]: Extracting #6: cost 277 inf + 1679 116.324 * * [simplify]: Extracting #7: cost 254 inf + 8953 116.331 * * [simplify]: Extracting #8: cost 172 inf + 23351 116.346 * * [simplify]: Extracting #9: cost 98 inf + 49230 116.374 * * [simplify]: Extracting #10: cost 41 inf + 82216 116.418 * * [simplify]: Extracting #11: cost 5 inf + 115156 116.469 * * [simplify]: Extracting #12: cost 1 inf + 122296 116.503 * * [simplify]: Extracting #13: cost 0 inf + 124361 116.544 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) 116.544 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 116.545 * * * * [progress]: [ 103 / 5906 ] simplifiying candidate # 116.546 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 116.546 * * [simplify]: iters left: 6 (46 enodes) 116.567 * * [simplify]: iters left: 5 (229 enodes) 116.659 * * [simplify]: Extracting #0: cost 1 inf + 0 116.659 * * [simplify]: Extracting #1: cost 3 inf + 0 116.659 * * [simplify]: Extracting #2: cost 10 inf + 0 116.659 * * [simplify]: Extracting #3: cost 66 inf + 0 116.660 * * [simplify]: Extracting #4: cost 117 inf + 44 116.661 * * [simplify]: Extracting #5: cost 160 inf + 618 116.663 * * [simplify]: Extracting #6: cost 241 inf + 2770 116.665 * * [simplify]: Extracting #7: cost 247 inf + 3259 116.671 * * [simplify]: Extracting #8: cost 160 inf + 22331 116.687 * * [simplify]: Extracting #9: cost 61 inf + 58370 116.704 * * [simplify]: Extracting #10: cost 20 inf + 86888 116.738 * * [simplify]: Extracting #11: cost 0 inf + 104000 116.775 * * [simplify]: Extracting #12: cost 0 inf + 103760 116.800 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 116.800 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 116.801 * * * * [progress]: [ 104 / 5906 ] simplifiying candidate # 116.802 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 116.802 * * [simplify]: iters left: 6 (51 enodes) 116.831 * * [simplify]: iters left: 5 (257 enodes) 116.926 * * [simplify]: Extracting #0: cost 1 inf + 0 116.926 * * [simplify]: Extracting #1: cost 3 inf + 0 116.926 * * [simplify]: Extracting #2: cost 10 inf + 0 116.926 * * [simplify]: Extracting #3: cost 74 inf + 0 116.926 * * [simplify]: Extracting #4: cost 136 inf + 42 116.927 * * [simplify]: Extracting #5: cost 193 inf + 207 116.928 * * [simplify]: Extracting #6: cost 277 inf + 1717 116.931 * * [simplify]: Extracting #7: cost 251 inf + 9840 116.937 * * [simplify]: Extracting #8: cost 174 inf + 22806 116.949 * * [simplify]: Extracting #9: cost 99 inf + 48763 116.963 * * [simplify]: Extracting #10: cost 40 inf + 83721 116.991 * * [simplify]: Extracting #11: cost 5 inf + 116116 117.020 * * [simplify]: Extracting #12: cost 1 inf + 123256 117.063 * * [simplify]: Extracting #13: cost 0 inf + 125321 117.097 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) 117.097 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 117.098 * * * * [progress]: [ 105 / 5906 ] simplifiying candidate # 117.098 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 117.099 * * [simplify]: iters left: 6 (46 enodes) 117.119 * * [simplify]: iters left: 5 (229 enodes) 117.189 * * [simplify]: Extracting #0: cost 1 inf + 0 117.189 * * [simplify]: Extracting #1: cost 3 inf + 0 117.189 * * [simplify]: Extracting #2: cost 10 inf + 0 117.189 * * [simplify]: Extracting #3: cost 65 inf + 0 117.190 * * [simplify]: Extracting #4: cost 117 inf + 44 117.191 * * [simplify]: Extracting #5: cost 157 inf + 864 117.193 * * [simplify]: Extracting #6: cost 240 inf + 2932 117.195 * * [simplify]: Extracting #7: cost 247 inf + 3259 117.203 * * [simplify]: Extracting #8: cost 149 inf + 24233 117.222 * * [simplify]: Extracting #9: cost 61 inf + 58488 117.241 * * [simplify]: Extracting #10: cost 20 inf + 88594 117.267 * * [simplify]: Extracting #11: cost 0 inf + 104480 117.289 * * [simplify]: Extracting #12: cost 0 inf + 104240 117.316 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 117.316 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 117.316 * * * * [progress]: [ 106 / 5906 ] simplifiying candidate # 117.317 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 117.317 * * [simplify]: iters left: 6 (52 enodes) 117.330 * * [simplify]: iters left: 5 (254 enodes) 117.438 * * [simplify]: Extracting #0: cost 1 inf + 0 117.438 * * [simplify]: Extracting #1: cost 3 inf + 0 117.438 * * [simplify]: Extracting #2: cost 6 inf + 0 117.439 * * [simplify]: Extracting #3: cost 56 inf + 0 117.439 * * [simplify]: Extracting #4: cost 130 inf + 0 117.440 * * [simplify]: Extracting #5: cost 215 inf + 0 117.442 * * [simplify]: Extracting #6: cost 312 inf + 510 117.445 * * [simplify]: Extracting #7: cost 267 inf + 10727 117.455 * * [simplify]: Extracting #8: cost 151 inf + 36658 117.479 * * [simplify]: Extracting #9: cost 55 inf + 74128 117.520 * * [simplify]: Extracting #10: cost 12 inf + 117785 117.564 * * [simplify]: Extracting #11: cost 1 inf + 131140 117.599 * * [simplify]: Extracting #12: cost 0 inf + 133205 117.629 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 117.629 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 117.630 * * * * [progress]: [ 107 / 5906 ] simplifiying candidate # 117.630 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 117.631 * * [simplify]: iters left: 6 (53 enodes) 117.658 * * [simplify]: iters left: 5 (263 enodes) 117.743 * * [simplify]: Extracting #0: cost 1 inf + 0 117.743 * * [simplify]: Extracting #1: cost 3 inf + 0 117.743 * * [simplify]: Extracting #2: cost 6 inf + 0 117.743 * * [simplify]: Extracting #3: cost 60 inf + 0 117.743 * * [simplify]: Extracting #4: cost 153 inf + 0 117.744 * * [simplify]: Extracting #5: cost 228 inf + 85 117.745 * * [simplify]: Extracting #6: cost 288 inf + 4401 117.748 * * [simplify]: Extracting #7: cost 254 inf + 11663 117.755 * * [simplify]: Extracting #8: cost 188 inf + 24117 117.770 * * [simplify]: Extracting #9: cost 116 inf + 46622 117.799 * * [simplify]: Extracting #10: cost 54 inf + 76448 117.822 * * [simplify]: Extracting #11: cost 15 inf + 112847 117.849 * * [simplify]: Extracting #12: cost 0 inf + 131142 117.876 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 117.876 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 117.877 * * * * [progress]: [ 108 / 5906 ] simplifiying candidate # 117.877 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 117.878 * * [simplify]: iters left: 6 (53 enodes) 117.908 * * [simplify]: iters left: 5 (263 enodes) 117.988 * * [simplify]: Extracting #0: cost 1 inf + 0 117.988 * * [simplify]: Extracting #1: cost 3 inf + 0 117.988 * * [simplify]: Extracting #2: cost 6 inf + 0 117.989 * * [simplify]: Extracting #3: cost 62 inf + 0 117.989 * * [simplify]: Extracting #4: cost 151 inf + 0 117.990 * * [simplify]: Extracting #5: cost 225 inf + 44 117.993 * * [simplify]: Extracting #6: cost 284 inf + 4723 117.998 * * [simplify]: Extracting #7: cost 258 inf + 10707 118.008 * * [simplify]: Extracting #8: cost 156 inf + 35786 118.037 * * [simplify]: Extracting #9: cost 59 inf + 72553 118.077 * * [simplify]: Extracting #10: cost 14 inf + 115224 118.126 * * [simplify]: Extracting #11: cost 0 inf + 132174 118.160 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 118.161 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 118.161 * * * * [progress]: [ 109 / 5906 ] simplifiying candidate # 118.161 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 118.162 * * [simplify]: iters left: 6 (47 enodes) 118.180 * * [simplify]: iters left: 5 (227 enodes) 118.245 * * [simplify]: Extracting #0: cost 1 inf + 0 118.245 * * [simplify]: Extracting #1: cost 3 inf + 0 118.245 * * [simplify]: Extracting #2: cost 6 inf + 0 118.245 * * [simplify]: Extracting #3: cost 54 inf + 0 118.246 * * [simplify]: Extracting #4: cost 119 inf + 0 118.247 * * [simplify]: Extracting #5: cost 173 inf + 44 118.248 * * [simplify]: Extracting #6: cost 253 inf + 1314 118.251 * * [simplify]: Extracting #7: cost 237 inf + 4281 118.258 * * [simplify]: Extracting #8: cost 156 inf + 20978 118.273 * * [simplify]: Extracting #9: cost 91 inf + 46601 118.287 * * [simplify]: Extracting #10: cost 44 inf + 66186 118.306 * * [simplify]: Extracting #11: cost 11 inf + 95598 118.331 * * [simplify]: Extracting #12: cost 1 inf + 108368 118.366 * * [simplify]: Extracting #13: cost 0 inf + 110233 118.410 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 118.410 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 118.411 * * * * [progress]: [ 110 / 5906 ] simplifiying candidate # 118.412 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 118.413 * * [simplify]: iters left: 6 (52 enodes) 118.431 * * [simplify]: iters left: 5 (255 enodes) 118.497 * * [simplify]: Extracting #0: cost 1 inf + 0 118.497 * * [simplify]: Extracting #1: cost 3 inf + 0 118.497 * * [simplify]: Extracting #2: cost 10 inf + 0 118.497 * * [simplify]: Extracting #3: cost 74 inf + 0 118.498 * * [simplify]: Extracting #4: cost 137 inf + 1 118.498 * * [simplify]: Extracting #5: cost 195 inf + 207 118.499 * * [simplify]: Extracting #6: cost 275 inf + 2564 118.501 * * [simplify]: Extracting #7: cost 255 inf + 7271 118.505 * * [simplify]: Extracting #8: cost 170 inf + 25158 118.521 * * [simplify]: Extracting #9: cost 104 inf + 48990 118.544 * * [simplify]: Extracting #10: cost 49 inf + 74259 118.585 * * [simplify]: Extracting #11: cost 6 inf + 116934 118.634 * * [simplify]: Extracting #12: cost 1 inf + 123099 118.663 * * [simplify]: Extracting #13: cost 0 inf + 125124 118.713 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 118.713 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 118.715 * * * * [progress]: [ 111 / 5906 ] simplifiying candidate # 118.715 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 118.716 * * [simplify]: iters left: 6 (47 enodes) 118.739 * * [simplify]: iters left: 5 (227 enodes) 118.794 * * [simplify]: Extracting #0: cost 1 inf + 0 118.794 * * [simplify]: Extracting #1: cost 3 inf + 0 118.794 * * [simplify]: Extracting #2: cost 10 inf + 0 118.794 * * [simplify]: Extracting #3: cost 66 inf + 0 118.795 * * [simplify]: Extracting #4: cost 117 inf + 44 118.795 * * [simplify]: Extracting #5: cost 158 inf + 1226 118.796 * * [simplify]: Extracting #6: cost 241 inf + 2972 118.800 * * [simplify]: Extracting #7: cost 238 inf + 3875 118.805 * * [simplify]: Extracting #8: cost 134 inf + 28476 118.814 * * [simplify]: Extracting #9: cost 49 inf + 61920 118.838 * * [simplify]: Extracting #10: cost 6 inf + 96613 118.860 * * [simplify]: Extracting #11: cost 1 inf + 103258 118.890 * * [simplify]: Extracting #12: cost 0 inf + 104963 118.926 * * [simplify]: Extracting #13: cost 0 inf + 104883 118.948 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) 118.948 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 118.949 * * * * [progress]: [ 112 / 5906 ] simplifiying candidate # 118.949 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 118.950 * * [simplify]: iters left: 6 (52 enodes) 118.962 * * [simplify]: iters left: 5 (255 enodes) 119.062 * * [simplify]: Extracting #0: cost 1 inf + 0 119.063 * * [simplify]: Extracting #1: cost 3 inf + 0 119.063 * * [simplify]: Extracting #2: cost 10 inf + 0 119.063 * * [simplify]: Extracting #3: cost 74 inf + 0 119.064 * * [simplify]: Extracting #4: cost 137 inf + 1 119.065 * * [simplify]: Extracting #5: cost 195 inf + 207 119.067 * * [simplify]: Extracting #6: cost 272 inf + 3128 119.071 * * [simplify]: Extracting #7: cost 249 inf + 8842 119.078 * * [simplify]: Extracting #8: cost 168 inf + 26294 119.087 * * [simplify]: Extracting #9: cost 105 inf + 48825 119.100 * * [simplify]: Extracting #10: cost 50 inf + 74474 119.129 * * [simplify]: Extracting #11: cost 9 inf + 115219 119.179 * * [simplify]: Extracting #12: cost 1 inf + 124059 119.211 * * [simplify]: Extracting #13: cost 0 inf + 126084 119.253 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 119.253 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 119.254 * * * * [progress]: [ 113 / 5906 ] simplifiying candidate # 119.255 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 119.255 * * [simplify]: iters left: 6 (47 enodes) 119.279 * * [simplify]: iters left: 5 (227 enodes) 119.373 * * [simplify]: Extracting #0: cost 1 inf + 0 119.373 * * [simplify]: Extracting #1: cost 3 inf + 0 119.373 * * [simplify]: Extracting #2: cost 10 inf + 0 119.373 * * [simplify]: Extracting #3: cost 65 inf + 0 119.374 * * [simplify]: Extracting #4: cost 116 inf + 86 119.375 * * [simplify]: Extracting #5: cost 155 inf + 1432 119.377 * * [simplify]: Extracting #6: cost 241 inf + 2932 119.380 * * [simplify]: Extracting #7: cost 236 inf + 4279 119.387 * * [simplify]: Extracting #8: cost 138 inf + 25592 119.406 * * [simplify]: Extracting #9: cost 55 inf + 58094 119.438 * * [simplify]: Extracting #10: cost 11 inf + 93448 119.480 * * [simplify]: Extracting #11: cost 1 inf + 104738 119.524 * * [simplify]: Extracting #12: cost 0 inf + 106483 119.565 * * [simplify]: Extracting #13: cost 0 inf + 106403 119.598 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) 119.598 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 119.598 * * * * [progress]: [ 114 / 5906 ] simplifiying candidate # 119.599 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 119.599 * * [simplify]: iters left: 6 (52 enodes) 119.612 * * [simplify]: iters left: 5 (254 enodes) 119.694 * * [simplify]: Extracting #0: cost 1 inf + 0 119.694 * * [simplify]: Extracting #1: cost 3 inf + 0 119.694 * * [simplify]: Extracting #2: cost 6 inf + 0 119.694 * * [simplify]: Extracting #3: cost 56 inf + 0 119.694 * * [simplify]: Extracting #4: cost 130 inf + 0 119.695 * * [simplify]: Extracting #5: cost 210 inf + 0 119.695 * * [simplify]: Extracting #6: cost 301 inf + 882 119.697 * * [simplify]: Extracting #7: cost 255 inf + 11213 119.703 * * [simplify]: Extracting #8: cost 167 inf + 27711 119.716 * * [simplify]: Extracting #9: cost 120 inf + 40706 119.730 * * [simplify]: Extracting #10: cost 54 inf + 72331 119.762 * * [simplify]: Extracting #11: cost 7 inf + 120695 119.789 * * [simplify]: Extracting #12: cost 1 inf + 129045 119.833 * * [simplify]: Extracting #13: cost 0 inf + 131110 119.863 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))))) 119.863 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 119.864 * * * * [progress]: [ 115 / 5906 ] simplifiying candidate # 119.864 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 119.864 * * [simplify]: iters left: 6 (53 enodes) 119.893 * * [simplify]: iters left: 5 (263 enodes) 119.974 * * [simplify]: Extracting #0: cost 1 inf + 0 119.974 * * [simplify]: Extracting #1: cost 3 inf + 0 119.974 * * [simplify]: Extracting #2: cost 6 inf + 0 119.974 * * [simplify]: Extracting #3: cost 60 inf + 0 119.975 * * [simplify]: Extracting #4: cost 153 inf + 0 119.976 * * [simplify]: Extracting #5: cost 223 inf + 85 119.979 * * [simplify]: Extracting #6: cost 279 inf + 4609 119.982 * * [simplify]: Extracting #7: cost 243 inf + 13010 119.990 * * [simplify]: Extracting #8: cost 178 inf + 26457 119.997 * * [simplify]: Extracting #9: cost 117 inf + 44421 120.009 * * [simplify]: Extracting #10: cost 54 inf + 75740 120.049 * * [simplify]: Extracting #11: cost 13 inf + 116526 120.099 * * [simplify]: Extracting #12: cost 0 inf + 133847 120.134 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- lambda1 lambda2))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 120.134 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- lambda1 lambda2))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 120.135 * * * * [progress]: [ 116 / 5906 ] simplifiying candidate # 120.135 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 120.136 * * [simplify]: iters left: 6 (53 enodes) 120.158 * * [simplify]: iters left: 5 (263 enodes) 120.226 * * [simplify]: Extracting #0: cost 1 inf + 0 120.226 * * [simplify]: Extracting #1: cost 3 inf + 0 120.226 * * [simplify]: Extracting #2: cost 6 inf + 0 120.226 * * [simplify]: Extracting #3: cost 62 inf + 0 120.226 * * [simplify]: Extracting #4: cost 151 inf + 0 120.227 * * [simplify]: Extracting #5: cost 220 inf + 44 120.228 * * [simplify]: Extracting #6: cost 279 inf + 4284 120.231 * * [simplify]: Extracting #7: cost 233 inf + 15809 120.236 * * [simplify]: Extracting #8: cost 174 inf + 26757 120.244 * * [simplify]: Extracting #9: cost 96 inf + 56327 120.261 * * [simplify]: Extracting #10: cost 45 inf + 81714 120.302 * * [simplify]: Extracting #11: cost 15 inf + 113064 120.347 * * [simplify]: Extracting #12: cost 0 inf + 131359 120.381 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- lambda1 lambda2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 120.381 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- lambda1 lambda2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 120.382 * * * * [progress]: [ 117 / 5906 ] simplifiying candidate # 120.383 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 120.383 * * [simplify]: iters left: 6 (47 enodes) 120.407 * * [simplify]: iters left: 5 (227 enodes) 120.476 * * [simplify]: Extracting #0: cost 1 inf + 0 120.476 * * [simplify]: Extracting #1: cost 3 inf + 0 120.476 * * [simplify]: Extracting #2: cost 6 inf + 0 120.476 * * [simplify]: Extracting #3: cost 54 inf + 0 120.476 * * [simplify]: Extracting #4: cost 119 inf + 0 120.477 * * [simplify]: Extracting #5: cost 168 inf + 44 120.479 * * [simplify]: Extracting #6: cost 247 inf + 1357 120.481 * * [simplify]: Extracting #7: cost 227 inf + 5748 120.488 * * [simplify]: Extracting #8: cost 152 inf + 21789 120.503 * * [simplify]: Extracting #9: cost 94 inf + 44825 120.526 * * [simplify]: Extracting #10: cost 45 inf + 64426 120.548 * * [simplify]: Extracting #11: cost 12 inf + 93198 120.572 * * [simplify]: Extracting #12: cost 1 inf + 107313 120.616 * * [simplify]: Extracting #13: cost 0 inf + 109218 120.643 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 120.643 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 120.644 * * * * [progress]: [ 118 / 5906 ] simplifiying candidate # 120.644 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 120.644 * * [simplify]: iters left: 6 (52 enodes) 120.657 * * [simplify]: iters left: 5 (255 enodes) 120.751 * * [simplify]: Extracting #0: cost 1 inf + 0 120.751 * * [simplify]: Extracting #1: cost 3 inf + 0 120.751 * * [simplify]: Extracting #2: cost 10 inf + 0 120.751 * * [simplify]: Extracting #3: cost 74 inf + 0 120.752 * * [simplify]: Extracting #4: cost 137 inf + 1 120.753 * * [simplify]: Extracting #5: cost 190 inf + 207 120.755 * * [simplify]: Extracting #6: cost 265 inf + 2855 120.760 * * [simplify]: Extracting #7: cost 233 inf + 10835 120.766 * * [simplify]: Extracting #8: cost 160 inf + 26877 120.775 * * [simplify]: Extracting #9: cost 108 inf + 45097 120.787 * * [simplify]: Extracting #10: cost 52 inf + 70049 120.820 * * [simplify]: Extracting #11: cost 12 inf + 109529 120.868 * * [simplify]: Extracting #12: cost 1 inf + 122964 120.902 * * [simplify]: Extracting #13: cost 0 inf + 125069 120.933 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 120.934 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 120.934 * * * * [progress]: [ 119 / 5906 ] simplifiying candidate # 120.934 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 120.935 * * [simplify]: iters left: 6 (47 enodes) 120.947 * * [simplify]: iters left: 5 (227 enodes) 121.014 * * [simplify]: Extracting #0: cost 1 inf + 0 121.014 * * [simplify]: Extracting #1: cost 3 inf + 0 121.014 * * [simplify]: Extracting #2: cost 10 inf + 0 121.014 * * [simplify]: Extracting #3: cost 66 inf + 0 121.014 * * [simplify]: Extracting #4: cost 117 inf + 44 121.015 * * [simplify]: Extracting #5: cost 153 inf + 1186 121.016 * * [simplify]: Extracting #6: cost 234 inf + 3016 121.017 * * [simplify]: Extracting #7: cost 220 inf + 6196 121.023 * * [simplify]: Extracting #8: cost 118 inf + 32496 121.044 * * [simplify]: Extracting #9: cost 50 inf + 63883 121.073 * * [simplify]: Extracting #10: cost 7 inf + 95439 121.106 * * [simplify]: Extracting #11: cost 1 inf + 101523 121.132 * * [simplify]: Extracting #12: cost 0 inf + 103308 121.172 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) 121.173 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 121.174 * * * * [progress]: [ 120 / 5906 ] simplifiying candidate # 121.174 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 121.175 * * [simplify]: iters left: 6 (52 enodes) 121.189 * * [simplify]: iters left: 5 (255 enodes) 121.268 * * [simplify]: Extracting #0: cost 1 inf + 0 121.268 * * [simplify]: Extracting #1: cost 3 inf + 0 121.268 * * [simplify]: Extracting #2: cost 10 inf + 0 121.268 * * [simplify]: Extracting #3: cost 74 inf + 0 121.268 * * [simplify]: Extracting #4: cost 137 inf + 1 121.269 * * [simplify]: Extracting #5: cost 190 inf + 207 121.270 * * [simplify]: Extracting #6: cost 263 inf + 3177 121.272 * * [simplify]: Extracting #7: cost 229 inf + 12114 121.276 * * [simplify]: Extracting #8: cost 159 inf + 27189 121.288 * * [simplify]: Extracting #9: cost 107 inf + 46983 121.305 * * [simplify]: Extracting #10: cost 49 inf + 73284 121.333 * * [simplify]: Extracting #11: cost 7 inf + 116694 121.362 * * [simplify]: Extracting #12: cost 0 inf + 124829 121.412 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 121.412 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 121.413 * * * * [progress]: [ 121 / 5906 ] simplifiying candidate # 121.414 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 121.414 * * [simplify]: iters left: 6 (47 enodes) 121.435 * * [simplify]: iters left: 5 (227 enodes) 121.503 * * [simplify]: Extracting #0: cost 1 inf + 0 121.503 * * [simplify]: Extracting #1: cost 3 inf + 0 121.503 * * [simplify]: Extracting #2: cost 10 inf + 0 121.503 * * [simplify]: Extracting #3: cost 65 inf + 0 121.504 * * [simplify]: Extracting #4: cost 116 inf + 86 121.504 * * [simplify]: Extracting #5: cost 150 inf + 1432 121.505 * * [simplify]: Extracting #6: cost 234 inf + 2976 121.507 * * [simplify]: Extracting #7: cost 226 inf + 5502 121.511 * * [simplify]: Extracting #8: cost 122 inf + 32099 121.531 * * [simplify]: Extracting #9: cost 58 inf + 59412 121.565 * * [simplify]: Extracting #10: cost 7 inf + 96679 121.597 * * [simplify]: Extracting #11: cost 1 inf + 101843 121.620 * * [simplify]: Extracting #12: cost 0 inf + 103628 121.661 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 121.661 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 121.662 * * * * [progress]: [ 122 / 5906 ] simplifiying candidate # 121.663 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 121.663 * * [simplify]: iters left: 6 (52 enodes) 121.691 * * [simplify]: iters left: 5 (255 enodes) 121.780 * * [simplify]: Extracting #0: cost 1 inf + 0 121.780 * * [simplify]: Extracting #1: cost 3 inf + 0 121.780 * * [simplify]: Extracting #2: cost 6 inf + 0 121.780 * * [simplify]: Extracting #3: cost 56 inf + 0 121.781 * * [simplify]: Extracting #4: cost 130 inf + 0 121.781 * * [simplify]: Extracting #5: cost 214 inf + 0 121.782 * * [simplify]: Extracting #6: cost 311 inf + 722 121.784 * * [simplify]: Extracting #7: cost 277 inf + 5990 121.790 * * [simplify]: Extracting #8: cost 158 inf + 33737 121.799 * * [simplify]: Extracting #9: cost 80 inf + 56944 121.813 * * [simplify]: Extracting #10: cost 42 inf + 82980 121.841 * * [simplify]: Extracting #11: cost 7 inf + 123630 121.870 * * [simplify]: Extracting #12: cost 1 inf + 132580 121.902 * * [simplify]: Extracting #13: cost 0 inf + 134685 121.930 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 121.930 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 121.931 * * * * [progress]: [ 123 / 5906 ] simplifiying candidate # 121.932 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 121.932 * * [simplify]: iters left: 6 (53 enodes) 121.960 * * [simplify]: iters left: 5 (264 enodes) 122.025 * * [simplify]: Extracting #0: cost 1 inf + 0 122.025 * * [simplify]: Extracting #1: cost 3 inf + 0 122.025 * * [simplify]: Extracting #2: cost 6 inf + 0 122.025 * * [simplify]: Extracting #3: cost 60 inf + 0 122.025 * * [simplify]: Extracting #4: cost 153 inf + 0 122.026 * * [simplify]: Extracting #5: cost 228 inf + 44 122.027 * * [simplify]: Extracting #6: cost 293 inf + 3793 122.030 * * [simplify]: Extracting #7: cost 261 inf + 10008 122.034 * * [simplify]: Extracting #8: cost 193 inf + 21976 122.042 * * [simplify]: Extracting #9: cost 118 inf + 45959 122.087 * * [simplify]: Extracting #10: cost 33 inf + 102034 122.138 * * [simplify]: Extracting #11: cost 1 inf + 132557 122.168 * * [simplify]: Extracting #12: cost 0 inf + 134662 122.206 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 122.206 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 122.206 * * * * [progress]: [ 124 / 5906 ] simplifiying candidate # 122.207 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 122.207 * * [simplify]: iters left: 6 (53 enodes) 122.222 * * [simplify]: iters left: 5 (264 enodes) 122.279 * * [simplify]: Extracting #0: cost 1 inf + 0 122.279 * * [simplify]: Extracting #1: cost 3 inf + 0 122.279 * * [simplify]: Extracting #2: cost 6 inf + 0 122.280 * * [simplify]: Extracting #3: cost 62 inf + 0 122.280 * * [simplify]: Extracting #4: cost 151 inf + 0 122.281 * * [simplify]: Extracting #5: cost 224 inf + 44 122.282 * * [simplify]: Extracting #6: cost 290 inf + 3951 122.286 * * [simplify]: Extracting #7: cost 258 inf + 11389 122.298 * * [simplify]: Extracting #8: cost 178 inf + 26982 122.316 * * [simplify]: Extracting #9: cost 69 inf + 70134 122.336 * * [simplify]: Extracting #10: cost 20 inf + 110337 122.381 * * [simplify]: Extracting #11: cost 0 inf + 135254 122.435 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)))) (* (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 122.436 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)))) (* (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 122.437 * * * * [progress]: [ 125 / 5906 ] simplifiying candidate # 122.437 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 122.438 * * [simplify]: iters left: 6 (47 enodes) 122.464 * * [simplify]: iters left: 5 (228 enodes) 122.527 * * [simplify]: Extracting #0: cost 1 inf + 0 122.527 * * [simplify]: Extracting #1: cost 3 inf + 0 122.527 * * [simplify]: Extracting #2: cost 6 inf + 0 122.528 * * [simplify]: Extracting #3: cost 54 inf + 0 122.528 * * [simplify]: Extracting #4: cost 119 inf + 0 122.529 * * [simplify]: Extracting #5: cost 172 inf + 44 122.530 * * [simplify]: Extracting #6: cost 252 inf + 1355 122.533 * * [simplify]: Extracting #7: cost 244 inf + 3508 122.541 * * [simplify]: Extracting #8: cost 135 inf + 28504 122.561 * * [simplify]: Extracting #9: cost 67 inf + 55683 122.599 * * [simplify]: Extracting #10: cost 11 inf + 98605 122.641 * * [simplify]: Extracting #11: cost 1 inf + 107448 122.665 * * [simplify]: Extracting #12: cost 0 inf + 109153 122.698 * * [simplify]: Extracting #13: cost 0 inf + 109113 122.740 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 122.740 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 122.742 * * * * [progress]: [ 126 / 5906 ] simplifiying candidate # 122.742 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 122.744 * * [simplify]: iters left: 6 (52 enodes) 122.764 * * [simplify]: iters left: 5 (256 enodes) 122.818 * * [simplify]: Extracting #0: cost 1 inf + 0 122.818 * * [simplify]: Extracting #1: cost 3 inf + 0 122.818 * * [simplify]: Extracting #2: cost 10 inf + 0 122.818 * * [simplify]: Extracting #3: cost 74 inf + 0 122.818 * * [simplify]: Extracting #4: cost 136 inf + 42 122.819 * * [simplify]: Extracting #5: cost 195 inf + 165 122.822 * * [simplify]: Extracting #6: cost 273 inf + 3048 122.824 * * [simplify]: Extracting #7: cost 249 inf + 8862 122.828 * * [simplify]: Extracting #8: cost 168 inf + 26483 122.835 * * [simplify]: Extracting #9: cost 111 inf + 43401 122.846 * * [simplify]: Extracting #10: cost 54 inf + 70256 122.867 * * [simplify]: Extracting #11: cost 13 inf + 112239 122.908 * * [simplify]: Extracting #12: cost 1 inf + 124819 122.954 * * [simplify]: Extracting #13: cost 0 inf + 126884 122.984 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) 122.984 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 122.985 * * * * [progress]: [ 127 / 5906 ] simplifiying candidate # 122.986 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 122.986 * * [simplify]: iters left: 6 (47 enodes) 123.009 * * [simplify]: iters left: 5 (228 enodes) 123.075 * * [simplify]: Extracting #0: cost 1 inf + 0 123.075 * * [simplify]: Extracting #1: cost 3 inf + 0 123.075 * * [simplify]: Extracting #2: cost 10 inf + 0 123.076 * * [simplify]: Extracting #3: cost 66 inf + 0 123.076 * * [simplify]: Extracting #4: cost 117 inf + 44 123.077 * * [simplify]: Extracting #5: cost 157 inf + 1266 123.079 * * [simplify]: Extracting #6: cost 241 inf + 2972 123.082 * * [simplify]: Extracting #7: cost 235 inf + 4520 123.087 * * [simplify]: Extracting #8: cost 164 inf + 16864 123.099 * * [simplify]: Extracting #9: cost 102 inf + 40149 123.119 * * [simplify]: Extracting #10: cost 45 inf + 63306 123.139 * * [simplify]: Extracting #11: cost 14 inf + 90373 123.160 * * [simplify]: Extracting #12: cost 1 inf + 104818 123.202 * * [simplify]: Extracting #13: cost 0 inf + 106523 123.246 * * [simplify]: Extracting #14: cost 0 inf + 106403 123.287 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 123.287 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 123.288 * * * * [progress]: [ 128 / 5906 ] simplifiying candidate # 123.288 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 123.289 * * [simplify]: iters left: 6 (52 enodes) 123.308 * * [simplify]: iters left: 5 (256 enodes) 123.392 * * [simplify]: Extracting #0: cost 1 inf + 0 123.392 * * [simplify]: Extracting #1: cost 3 inf + 0 123.392 * * [simplify]: Extracting #2: cost 10 inf + 0 123.392 * * [simplify]: Extracting #3: cost 74 inf + 0 123.393 * * [simplify]: Extracting #4: cost 137 inf + 1 123.393 * * [simplify]: Extracting #5: cost 195 inf + 165 123.394 * * [simplify]: Extracting #6: cost 271 inf + 3571 123.396 * * [simplify]: Extracting #7: cost 247 inf + 9185 123.400 * * [simplify]: Extracting #8: cost 170 inf + 26119 123.407 * * [simplify]: Extracting #9: cost 111 inf + 43622 123.418 * * [simplify]: Extracting #10: cost 54 inf + 71056 123.446 * * [simplify]: Extracting #11: cost 11 inf + 116209 123.502 * * [simplify]: Extracting #12: cost 0 inf + 127844 123.530 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) 123.530 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 123.531 * * * * [progress]: [ 129 / 5906 ] simplifiying candidate # 123.531 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 123.531 * * [simplify]: iters left: 6 (47 enodes) 123.543 * * [simplify]: iters left: 5 (228 enodes) 123.609 * * [simplify]: Extracting #0: cost 1 inf + 0 123.609 * * [simplify]: Extracting #1: cost 3 inf + 0 123.609 * * [simplify]: Extracting #2: cost 10 inf + 0 123.609 * * [simplify]: Extracting #3: cost 65 inf + 0 123.609 * * [simplify]: Extracting #4: cost 116 inf + 86 123.610 * * [simplify]: Extracting #5: cost 151 inf + 1958 123.611 * * [simplify]: Extracting #6: cost 241 inf + 2932 123.612 * * [simplify]: Extracting #7: cost 238 inf + 3875 123.615 * * [simplify]: Extracting #8: cost 163 inf + 16865 123.621 * * [simplify]: Extracting #9: cost 99 inf + 41857 123.638 * * [simplify]: Extracting #10: cost 40 inf + 67043 123.654 * * [simplify]: Extracting #11: cost 14 inf + 90773 123.683 * * [simplify]: Extracting #12: cost 1 inf + 105218 123.708 * * [simplify]: Extracting #13: cost 0 inf + 106923 123.736 * * [simplify]: Extracting #14: cost 0 inf + 106803 123.758 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 123.758 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 123.759 * * * * [progress]: [ 130 / 5906 ] simplifiying candidate # 123.759 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 123.760 * * [simplify]: iters left: 6 (52 enodes) 123.785 * * [simplify]: iters left: 5 (255 enodes) 123.886 * * [simplify]: Extracting #0: cost 1 inf + 0 123.886 * * [simplify]: Extracting #1: cost 3 inf + 0 123.886 * * [simplify]: Extracting #2: cost 6 inf + 0 123.886 * * [simplify]: Extracting #3: cost 56 inf + 0 123.886 * * [simplify]: Extracting #4: cost 130 inf + 0 123.887 * * [simplify]: Extracting #5: cost 210 inf + 0 123.888 * * [simplify]: Extracting #6: cost 302 inf + 931 123.889 * * [simplify]: Extracting #7: cost 260 inf + 8578 123.894 * * [simplify]: Extracting #8: cost 146 inf + 34723 123.913 * * [simplify]: Extracting #9: cost 78 inf + 57402 123.953 * * [simplify]: Extracting #10: cost 19 inf + 108921 123.979 * * [simplify]: Extracting #11: cost 1 inf + 130485 124.032 * * [simplify]: Extracting #12: cost 0 inf + 132590 124.085 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))))) 124.085 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 124.086 * * * * [progress]: [ 131 / 5906 ] simplifiying candidate # 124.086 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 124.087 * * [simplify]: iters left: 6 (53 enodes) 124.108 * * [simplify]: iters left: 5 (264 enodes) 124.197 * * [simplify]: Extracting #0: cost 1 inf + 0 124.197 * * [simplify]: Extracting #1: cost 3 inf + 0 124.197 * * [simplify]: Extracting #2: cost 6 inf + 0 124.198 * * [simplify]: Extracting #3: cost 60 inf + 0 124.198 * * [simplify]: Extracting #4: cost 153 inf + 0 124.199 * * [simplify]: Extracting #5: cost 224 inf + 44 124.202 * * [simplify]: Extracting #6: cost 286 inf + 3837 124.207 * * [simplify]: Extracting #7: cost 235 inf + 14277 124.217 * * [simplify]: Extracting #8: cost 174 inf + 27986 124.230 * * [simplify]: Extracting #9: cost 113 inf + 47292 124.244 * * [simplify]: Extracting #10: cost 47 inf + 83324 124.279 * * [simplify]: Extracting #11: cost 11 inf + 120812 124.311 * * [simplify]: Extracting #12: cost 0 inf + 135167 124.347 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- lambda1 lambda2))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 124.347 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- lambda1 lambda2))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 124.348 * * * * [progress]: [ 132 / 5906 ] simplifiying candidate # 124.348 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 124.348 * * [simplify]: iters left: 6 (53 enodes) 124.365 * * [simplify]: iters left: 5 (264 enodes) 124.482 * * [simplify]: Extracting #0: cost 1 inf + 0 124.482 * * [simplify]: Extracting #1: cost 3 inf + 0 124.482 * * [simplify]: Extracting #2: cost 6 inf + 0 124.482 * * [simplify]: Extracting #3: cost 62 inf + 0 124.483 * * [simplify]: Extracting #4: cost 151 inf + 0 124.484 * * [simplify]: Extracting #5: cost 220 inf + 44 124.487 * * [simplify]: Extracting #6: cost 278 inf + 4686 124.493 * * [simplify]: Extracting #7: cost 227 inf + 17383 124.503 * * [simplify]: Extracting #8: cost 162 inf + 30067 124.523 * * [simplify]: Extracting #9: cost 78 inf + 60410 124.548 * * [simplify]: Extracting #10: cost 40 inf + 83902 124.570 * * [simplify]: Extracting #11: cost 11 inf + 115724 124.610 * * [simplify]: Extracting #12: cost 0 inf + 131599 124.639 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 124.639 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 124.640 * * * * [progress]: [ 133 / 5906 ] simplifiying candidate # 124.640 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 124.641 * * [simplify]: iters left: 6 (47 enodes) 124.652 * * [simplify]: iters left: 5 (228 enodes) 124.724 * * [simplify]: Extracting #0: cost 1 inf + 0 124.724 * * [simplify]: Extracting #1: cost 3 inf + 0 124.724 * * [simplify]: Extracting #2: cost 6 inf + 0 124.724 * * [simplify]: Extracting #3: cost 54 inf + 0 124.724 * * [simplify]: Extracting #4: cost 119 inf + 0 124.725 * * [simplify]: Extracting #5: cost 168 inf + 44 124.726 * * [simplify]: Extracting #6: cost 246 inf + 1357 124.727 * * [simplify]: Extracting #7: cost 214 inf + 7293 124.731 * * [simplify]: Extracting #8: cost 129 inf + 29743 124.741 * * [simplify]: Extracting #9: cost 65 inf + 53897 124.767 * * [simplify]: Extracting #10: cost 13 inf + 94060 124.807 * * [simplify]: Extracting #11: cost 1 inf + 106513 124.851 * * [simplify]: Extracting #12: cost 0 inf + 108378 124.895 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 124.895 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 124.897 * * * * [progress]: [ 134 / 5906 ] simplifiying candidate # 124.897 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 124.898 * * [simplify]: iters left: 6 (52 enodes) 124.924 * * [simplify]: iters left: 5 (256 enodes) 125.017 * * [simplify]: Extracting #0: cost 1 inf + 0 125.017 * * [simplify]: Extracting #1: cost 3 inf + 0 125.017 * * [simplify]: Extracting #2: cost 10 inf + 0 125.017 * * [simplify]: Extracting #3: cost 74 inf + 0 125.018 * * [simplify]: Extracting #4: cost 136 inf + 42 125.019 * * [simplify]: Extracting #5: cost 190 inf + 207 125.021 * * [simplify]: Extracting #6: cost 261 inf + 3784 125.025 * * [simplify]: Extracting #7: cost 222 inf + 14471 125.033 * * [simplify]: Extracting #8: cost 163 inf + 25977 125.047 * * [simplify]: Extracting #9: cost 110 inf + 43470 125.063 * * [simplify]: Extracting #10: cost 56 inf + 67991 125.083 * * [simplify]: Extracting #11: cost 13 inf + 110424 125.130 * * [simplify]: Extracting #12: cost 1 inf + 123124 125.161 * * [simplify]: Extracting #13: cost 0 inf + 125229 125.211 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))))))) 125.211 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 125.212 * * * * [progress]: [ 135 / 5906 ] simplifiying candidate # 125.213 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 125.213 * * [simplify]: iters left: 6 (47 enodes) 125.237 * * [simplify]: iters left: 5 (228 enodes) 125.325 * * [simplify]: Extracting #0: cost 1 inf + 0 125.325 * * [simplify]: Extracting #1: cost 3 inf + 0 125.325 * * [simplify]: Extracting #2: cost 10 inf + 0 125.325 * * [simplify]: Extracting #3: cost 66 inf + 0 125.325 * * [simplify]: Extracting #4: cost 117 inf + 44 125.326 * * [simplify]: Extracting #5: cost 152 inf + 1388 125.327 * * [simplify]: Extracting #6: cost 234 inf + 3016 125.328 * * [simplify]: Extracting #7: cost 224 inf + 5908 125.332 * * [simplify]: Extracting #8: cost 158 inf + 20046 125.339 * * [simplify]: Extracting #9: cost 97 inf + 44205 125.359 * * [simplify]: Extracting #10: cost 39 inf + 66253 125.382 * * [simplify]: Extracting #11: cost 13 inf + 89743 125.405 * * [simplify]: Extracting #12: cost 1 inf + 103283 125.446 * * [simplify]: Extracting #13: cost 0 inf + 105028 125.468 * * [simplify]: Extracting #14: cost 0 inf + 104908 125.509 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 125.510 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 125.511 * * * * [progress]: [ 136 / 5906 ] simplifiying candidate # 125.511 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 125.512 * * [simplify]: iters left: 6 (52 enodes) 125.538 * * [simplify]: iters left: 5 (256 enodes) 125.602 * * [simplify]: Extracting #0: cost 1 inf + 0 125.602 * * [simplify]: Extracting #1: cost 3 inf + 0 125.602 * * [simplify]: Extracting #2: cost 10 inf + 0 125.602 * * [simplify]: Extracting #3: cost 74 inf + 0 125.602 * * [simplify]: Extracting #4: cost 137 inf + 1 125.603 * * [simplify]: Extracting #5: cost 190 inf + 207 125.604 * * [simplify]: Extracting #6: cost 260 inf + 3863 125.606 * * [simplify]: Extracting #7: cost 222 inf + 14269 125.610 * * [simplify]: Extracting #8: cost 162 inf + 26179 125.621 * * [simplify]: Extracting #9: cost 111 inf + 42807 125.645 * * [simplify]: Extracting #10: cost 55 inf + 69336 125.688 * * [simplify]: Extracting #11: cost 11 inf + 114434 125.730 * * [simplify]: Extracting #12: cost 0 inf + 126189 125.767 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))))))) 125.767 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 125.768 * * * * [progress]: [ 137 / 5906 ] simplifiying candidate # 125.769 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 125.770 * * [simplify]: iters left: 6 (47 enodes) 125.794 * * [simplify]: iters left: 5 (228 enodes) 125.861 * * [simplify]: Extracting #0: cost 1 inf + 0 125.861 * * [simplify]: Extracting #1: cost 3 inf + 0 125.862 * * [simplify]: Extracting #2: cost 10 inf + 0 125.862 * * [simplify]: Extracting #3: cost 65 inf + 0 125.862 * * [simplify]: Extracting #4: cost 116 inf + 86 125.863 * * [simplify]: Extracting #5: cost 148 inf + 1796 125.865 * * [simplify]: Extracting #6: cost 234 inf + 2976 125.868 * * [simplify]: Extracting #7: cost 228 inf + 5301 125.873 * * [simplify]: Extracting #8: cost 153 inf + 20895 125.886 * * [simplify]: Extracting #9: cost 98 inf + 43262 125.906 * * [simplify]: Extracting #10: cost 40 inf + 66601 125.935 * * [simplify]: Extracting #11: cost 13 inf + 90143 125.978 * * [simplify]: Extracting #12: cost 1 inf + 103683 126.020 * * [simplify]: Extracting #13: cost 0 inf + 105428 126.042 * * [simplify]: Extracting #14: cost 0 inf + 105308 126.077 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 126.077 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 126.078 * * * * [progress]: [ 138 / 5906 ] simplifiying candidate # 126.078 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 126.079 * * [simplify]: iters left: 6 (47 enodes) 126.091 * * [simplify]: iters left: 5 (228 enodes) 126.154 * * [simplify]: Extracting #0: cost 1 inf + 0 126.154 * * [simplify]: Extracting #1: cost 3 inf + 0 126.154 * * [simplify]: Extracting #2: cost 6 inf + 0 126.154 * * [simplify]: Extracting #3: cost 48 inf + 0 126.154 * * [simplify]: Extracting #4: cost 112 inf + 0 126.155 * * [simplify]: Extracting #5: cost 185 inf + 0 126.156 * * [simplify]: Extracting #6: cost 262 inf + 803 126.159 * * [simplify]: Extracting #7: cost 231 inf + 9835 126.164 * * [simplify]: Extracting #8: cost 136 inf + 30754 126.174 * * [simplify]: Extracting #9: cost 55 inf + 58645 126.194 * * [simplify]: Extracting #10: cost 9 inf + 94084 126.224 * * [simplify]: Extracting #11: cost 0 inf + 103968 126.257 * * [simplify]: Extracting #12: cost 0 inf + 103888 126.299 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 126.299 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 126.300 * * * * [progress]: [ 139 / 5906 ] simplifiying candidate # 126.301 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 126.301 * * [simplify]: iters left: 6 (48 enodes) 126.314 * * [simplify]: iters left: 5 (237 enodes) 126.380 * * [simplify]: Extracting #0: cost 1 inf + 0 126.381 * * [simplify]: Extracting #1: cost 3 inf + 0 126.381 * * [simplify]: Extracting #2: cost 6 inf + 0 126.381 * * [simplify]: Extracting #3: cost 52 inf + 0 126.381 * * [simplify]: Extracting #4: cost 135 inf + 0 126.381 * * [simplify]: Extracting #5: cost 194 inf + 412 126.383 * * [simplify]: Extracting #6: cost 231 inf + 6579 126.386 * * [simplify]: Extracting #7: cost 212 inf + 13616 126.390 * * [simplify]: Extracting #8: cost 120 inf + 33350 126.399 * * [simplify]: Extracting #9: cost 65 inf + 53069 126.416 * * [simplify]: Extracting #10: cost 21 inf + 88753 126.463 * * [simplify]: Extracting #11: cost 1 inf + 108560 126.508 * * [simplify]: Extracting #12: cost 0 inf + 110425 126.554 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 126.554 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 126.555 * * * * [progress]: [ 140 / 5906 ] simplifiying candidate # 126.556 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 126.557 * * [simplify]: iters left: 6 (48 enodes) 126.581 * * [simplify]: iters left: 5 (237 enodes) 126.656 * * [simplify]: Extracting #0: cost 1 inf + 0 126.657 * * [simplify]: Extracting #1: cost 3 inf + 0 126.657 * * [simplify]: Extracting #2: cost 6 inf + 0 126.657 * * [simplify]: Extracting #3: cost 54 inf + 0 126.657 * * [simplify]: Extracting #4: cost 133 inf + 0 126.657 * * [simplify]: Extracting #5: cost 190 inf + 332 126.659 * * [simplify]: Extracting #6: cost 233 inf + 5647 126.662 * * [simplify]: Extracting #7: cost 219 inf + 11635 126.671 * * [simplify]: Extracting #8: cost 134 inf + 32077 126.691 * * [simplify]: Extracting #9: cost 53 inf + 62044 126.726 * * [simplify]: Extracting #10: cost 10 inf + 100247 126.762 * * [simplify]: Extracting #11: cost 0 inf + 109617 126.790 * * [simplify]: Extracting #12: cost 0 inf + 109577 126.835 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))) 126.835 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 126.836 * * * * [progress]: [ 141 / 5906 ] simplifiying candidate # 126.837 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 126.838 * * [simplify]: iters left: 6 (42 enodes) 126.860 * * [simplify]: iters left: 5 (202 enodes) 126.924 * * [simplify]: Extracting #0: cost 1 inf + 0 126.924 * * [simplify]: Extracting #1: cost 3 inf + 0 126.924 * * [simplify]: Extracting #2: cost 6 inf + 0 126.924 * * [simplify]: Extracting #3: cost 46 inf + 0 126.925 * * [simplify]: Extracting #4: cost 101 inf + 0 126.925 * * [simplify]: Extracting #5: cost 143 inf + 44 126.926 * * [simplify]: Extracting #6: cost 205 inf + 1354 126.927 * * [simplify]: Extracting #7: cost 206 inf + 3101 126.930 * * [simplify]: Extracting #8: cost 135 inf + 18608 126.940 * * [simplify]: Extracting #9: cost 62 inf + 44249 126.972 * * [simplify]: Extracting #10: cost 12 inf + 82393 127.009 * * [simplify]: Extracting #11: cost 0 inf + 87676 127.048 * * [simplify]: Extracting #12: cost 0 inf + 86476 127.084 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 127.084 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 127.085 * * * * [progress]: [ 142 / 5906 ] simplifiying candidate # 127.086 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 127.086 * * [simplify]: iters left: 6 (47 enodes) 127.110 * * [simplify]: iters left: 5 (230 enodes) 127.180 * * [simplify]: Extracting #0: cost 1 inf + 0 127.180 * * [simplify]: Extracting #1: cost 3 inf + 0 127.180 * * [simplify]: Extracting #2: cost 10 inf + 0 127.180 * * [simplify]: Extracting #3: cost 62 inf + 0 127.181 * * [simplify]: Extracting #4: cost 115 inf + 42 127.182 * * [simplify]: Extracting #5: cost 160 inf + 290 127.183 * * [simplify]: Extracting #6: cost 223 inf + 2325 127.185 * * [simplify]: Extracting #7: cost 214 inf + 6973 127.189 * * [simplify]: Extracting #8: cost 134 inf + 26526 127.197 * * [simplify]: Extracting #9: cost 81 inf + 44649 127.209 * * [simplify]: Extracting #10: cost 32 inf + 66292 127.230 * * [simplify]: Extracting #11: cost 10 inf + 85082 127.263 * * [simplify]: Extracting #12: cost 0 inf + 97012 127.284 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 127.284 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 127.285 * * * * [progress]: [ 143 / 5906 ] simplifiying candidate # 127.285 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 127.286 * * [simplify]: iters left: 6 (42 enodes) 127.299 * * [simplify]: iters left: 5 (203 enodes) 127.356 * * [simplify]: Extracting #0: cost 1 inf + 0 127.356 * * [simplify]: Extracting #1: cost 3 inf + 0 127.356 * * [simplify]: Extracting #2: cost 10 inf + 0 127.356 * * [simplify]: Extracting #3: cost 54 inf + 0 127.356 * * [simplify]: Extracting #4: cost 95 inf + 86 127.357 * * [simplify]: Extracting #5: cost 122 inf + 1432 127.358 * * [simplify]: Extracting #6: cost 190 inf + 2932 127.359 * * [simplify]: Extracting #7: cost 200 inf + 3181 127.362 * * [simplify]: Extracting #8: cost 127 inf + 19240 127.371 * * [simplify]: Extracting #9: cost 36 inf + 58210 127.397 * * [simplify]: Extracting #10: cost 4 inf + 80084 127.415 * * [simplify]: Extracting #11: cost 1 inf + 81386 127.434 * * [simplify]: Extracting #12: cost 0 inf + 82971 127.453 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 127.453 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 127.454 * * * * [progress]: [ 144 / 5906 ] simplifiying candidate # 127.454 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 127.454 * * [simplify]: iters left: 6 (47 enodes) 127.466 * * [simplify]: iters left: 5 (230 enodes) 127.539 * * [simplify]: Extracting #0: cost 1 inf + 0 127.539 * * [simplify]: Extracting #1: cost 3 inf + 0 127.539 * * [simplify]: Extracting #2: cost 10 inf + 0 127.540 * * [simplify]: Extracting #3: cost 62 inf + 0 127.540 * * [simplify]: Extracting #4: cost 115 inf + 42 127.540 * * [simplify]: Extracting #5: cost 158 inf + 494 127.541 * * [simplify]: Extracting #6: cost 216 inf + 3939 127.543 * * [simplify]: Extracting #7: cost 212 inf + 7376 127.548 * * [simplify]: Extracting #8: cost 126 inf + 31717 127.570 * * [simplify]: Extracting #9: cost 36 inf + 67634 127.611 * * [simplify]: Extracting #10: cost 3 inf + 92937 127.641 * * [simplify]: Extracting #11: cost 0 inf + 97732 127.667 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 127.667 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 127.669 * * * * [progress]: [ 145 / 5906 ] simplifiying candidate # 127.669 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 127.670 * * [simplify]: iters left: 6 (42 enodes) 127.692 * * [simplify]: iters left: 5 (203 enodes) 127.749 * * [simplify]: Extracting #0: cost 1 inf + 0 127.749 * * [simplify]: Extracting #1: cost 3 inf + 0 127.749 * * [simplify]: Extracting #2: cost 10 inf + 0 127.749 * * [simplify]: Extracting #3: cost 53 inf + 0 127.750 * * [simplify]: Extracting #4: cost 96 inf + 44 127.751 * * [simplify]: Extracting #5: cost 127 inf + 862 127.756 * * [simplify]: Extracting #6: cost 190 inf + 2932 127.758 * * [simplify]: Extracting #7: cost 200 inf + 3181 127.763 * * [simplify]: Extracting #8: cost 128 inf + 19038 127.780 * * [simplify]: Extracting #9: cost 44 inf + 52544 127.811 * * [simplify]: Extracting #10: cost 7 inf + 80896 127.846 * * [simplify]: Extracting #11: cost 0 inf + 84051 127.879 * * [simplify]: Extracting #12: cost 0 inf + 83291 127.913 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 127.913 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 127.914 * * * * [progress]: [ 146 / 5906 ] simplifiying candidate # 127.914 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 127.915 * * [simplify]: iters left: 6 (51 enodes) 127.938 * * [simplify]: iters left: 5 (252 enodes) 128.019 * * [simplify]: Extracting #0: cost 1 inf + 0 128.019 * * [simplify]: Extracting #1: cost 3 inf + 0 128.019 * * [simplify]: Extracting #2: cost 6 inf + 0 128.019 * * [simplify]: Extracting #3: cost 56 inf + 0 128.020 * * [simplify]: Extracting #4: cost 125 inf + 0 128.021 * * [simplify]: Extracting #5: cost 194 inf + 0 128.022 * * [simplify]: Extracting #6: cost 288 inf + 763 128.025 * * [simplify]: Extracting #7: cost 255 inf + 8377 128.032 * * [simplify]: Extracting #8: cost 140 inf + 35727 128.048 * * [simplify]: Extracting #9: cost 52 inf + 74867 128.091 * * [simplify]: Extracting #10: cost 4 inf + 117638 128.131 * * [simplify]: Extracting #11: cost 1 inf + 118951 128.170 * * [simplify]: Extracting #12: cost 0 inf + 120456 128.222 * * [simplify]: Extracting #13: cost 0 inf + 120336 128.257 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (* (* lambda1 lambda1) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (* (* lambda1 lambda1) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) 128.258 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (* (* lambda1 lambda1) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (* (* lambda1 lambda1) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 128.259 * * * * [progress]: [ 147 / 5906 ] simplifiying candidate # 128.259 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 128.260 * * [simplify]: iters left: 6 (52 enodes) 128.273 * * [simplify]: iters left: 5 (261 enodes) 128.366 * * [simplify]: Extracting #0: cost 1 inf + 0 128.366 * * [simplify]: Extracting #1: cost 3 inf + 0 128.366 * * [simplify]: Extracting #2: cost 6 inf + 0 128.366 * * [simplify]: Extracting #3: cost 60 inf + 0 128.366 * * [simplify]: Extracting #4: cost 148 inf + 0 128.367 * * [simplify]: Extracting #5: cost 206 inf + 126 128.370 * * [simplify]: Extracting #6: cost 266 inf + 4400 128.375 * * [simplify]: Extracting #7: cost 239 inf + 11875 128.384 * * [simplify]: Extracting #8: cost 149 inf + 32747 128.404 * * [simplify]: Extracting #9: cost 70 inf + 62036 128.445 * * [simplify]: Extracting #10: cost 14 inf + 111748 128.498 * * [simplify]: Extracting #11: cost 0 inf + 125393 128.544 * * [simplify]: Extracting #12: cost 0 inf + 124513 128.594 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))))) 128.594 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 128.595 * * * * [progress]: [ 148 / 5906 ] simplifiying candidate # 128.595 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 128.596 * * [simplify]: iters left: 6 (52 enodes) 128.623 * * [simplify]: iters left: 5 (261 enodes) 128.705 * * [simplify]: Extracting #0: cost 1 inf + 0 128.705 * * [simplify]: Extracting #1: cost 3 inf + 0 128.705 * * [simplify]: Extracting #2: cost 6 inf + 0 128.706 * * [simplify]: Extracting #3: cost 62 inf + 0 128.706 * * [simplify]: Extracting #4: cost 146 inf + 0 128.706 * * [simplify]: Extracting #5: cost 204 inf + 44 128.707 * * [simplify]: Extracting #6: cost 277 inf + 2543 128.710 * * [simplify]: Extracting #7: cost 244 inf + 12355 128.714 * * [simplify]: Extracting #8: cost 185 inf + 22702 128.725 * * [simplify]: Extracting #9: cost 125 inf + 35203 128.742 * * [simplify]: Extracting #10: cost 67 inf + 63725 128.765 * * [simplify]: Extracting #11: cost 12 inf + 107365 128.805 * * [simplify]: Extracting #12: cost 0 inf + 122345 128.855 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))))) 128.855 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 128.856 * * * * [progress]: [ 149 / 5906 ] simplifiying candidate # 128.856 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 128.857 * * [simplify]: iters left: 6 (46 enodes) 128.881 * * [simplify]: iters left: 5 (225 enodes) 128.974 * * [simplify]: Extracting #0: cost 1 inf + 0 128.974 * * [simplify]: Extracting #1: cost 3 inf + 0 128.974 * * [simplify]: Extracting #2: cost 6 inf + 0 128.974 * * [simplify]: Extracting #3: cost 54 inf + 0 128.975 * * [simplify]: Extracting #4: cost 113 inf + 0 128.976 * * [simplify]: Extracting #5: cost 150 inf + 126 128.977 * * [simplify]: Extracting #6: cost 233 inf + 908 128.979 * * [simplify]: Extracting #7: cost 238 inf + 1847 128.984 * * [simplify]: Extracting #8: cost 161 inf + 14590 128.995 * * [simplify]: Extracting #9: cost 90 inf + 37491 129.006 * * [simplify]: Extracting #10: cost 42 inf + 65071 129.026 * * [simplify]: Extracting #11: cost 1 inf + 99497 129.057 * * [simplify]: Extracting #12: cost 0 inf + 99122 129.095 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))))) 129.095 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 129.095 * * * * [progress]: [ 150 / 5906 ] simplifiying candidate # 129.096 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 129.096 * * [simplify]: iters left: 6 (51 enodes) 129.109 * * [simplify]: iters left: 5 (253 enodes) 129.196 * * [simplify]: Extracting #0: cost 1 inf + 0 129.196 * * [simplify]: Extracting #1: cost 3 inf + 0 129.196 * * [simplify]: Extracting #2: cost 10 inf + 0 129.196 * * [simplify]: Extracting #3: cost 71 inf + 0 129.197 * * [simplify]: Extracting #4: cost 133 inf + 42 129.197 * * [simplify]: Extracting #5: cost 175 inf + 249 129.198 * * [simplify]: Extracting #6: cost 250 inf + 3253 129.200 * * [simplify]: Extracting #7: cost 242 inf + 7810 129.203 * * [simplify]: Extracting #8: cost 167 inf + 20879 129.211 * * [simplify]: Extracting #9: cost 105 inf + 40916 129.233 * * [simplify]: Extracting #10: cost 54 inf + 66180 129.264 * * [simplify]: Extracting #11: cost 22 inf + 92938 129.287 * * [simplify]: Extracting #12: cost 1 inf + 114703 129.336 * * [simplify]: Extracting #13: cost 0 inf + 116488 129.378 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) 129.378 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 129.378 * * * * [progress]: [ 151 / 5906 ] simplifiying candidate # 129.379 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 129.379 * * [simplify]: iters left: 6 (46 enodes) 129.391 * * [simplify]: iters left: 5 (225 enodes) 129.475 * * [simplify]: Extracting #0: cost 1 inf + 0 129.475 * * [simplify]: Extracting #1: cost 3 inf + 0 129.475 * * [simplify]: Extracting #2: cost 10 inf + 0 129.476 * * [simplify]: Extracting #3: cost 64 inf + 0 129.476 * * [simplify]: Extracting #4: cost 116 inf + 44 129.477 * * [simplify]: Extracting #5: cost 143 inf + 782 129.478 * * [simplify]: Extracting #6: cost 224 inf + 2770 129.479 * * [simplify]: Extracting #7: cost 229 inf + 3828 129.482 * * [simplify]: Extracting #8: cost 149 inf + 22384 129.492 * * [simplify]: Extracting #9: cost 61 inf + 56290 129.506 * * [simplify]: Extracting #10: cost 23 inf + 76712 129.542 * * [simplify]: Extracting #11: cost 1 inf + 97569 129.581 * * [simplify]: Extracting #12: cost 0 inf + 99114 129.623 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) 129.623 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 129.624 * * * * [progress]: [ 152 / 5906 ] simplifiying candidate # 129.624 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 129.625 * * [simplify]: iters left: 6 (51 enodes) 129.642 * * [simplify]: iters left: 5 (253 enodes) 129.727 * * [simplify]: Extracting #0: cost 1 inf + 0 129.727 * * [simplify]: Extracting #1: cost 3 inf + 0 129.727 * * [simplify]: Extracting #2: cost 10 inf + 0 129.727 * * [simplify]: Extracting #3: cost 71 inf + 0 129.728 * * [simplify]: Extracting #4: cost 133 inf + 42 129.729 * * [simplify]: Extracting #5: cost 175 inf + 248 129.731 * * [simplify]: Extracting #6: cost 253 inf + 2487 129.734 * * [simplify]: Extracting #7: cost 243 inf + 7307 129.740 * * [simplify]: Extracting #8: cost 168 inf + 21491 129.754 * * [simplify]: Extracting #9: cost 101 inf + 44252 129.776 * * [simplify]: Extracting #10: cost 53 inf + 67885 129.792 * * [simplify]: Extracting #11: cost 22 inf + 94778 129.830 * * [simplify]: Extracting #12: cost 1 inf + 115663 129.871 * * [simplify]: Extracting #13: cost 0 inf + 117448 129.902 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) 129.903 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 129.904 * * * * [progress]: [ 153 / 5906 ] simplifiying candidate # 129.904 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 129.905 * * [simplify]: iters left: 6 (46 enodes) 129.928 * * [simplify]: iters left: 5 (225 enodes) 130.018 * * [simplify]: Extracting #0: cost 1 inf + 0 130.018 * * [simplify]: Extracting #1: cost 3 inf + 0 130.018 * * [simplify]: Extracting #2: cost 10 inf + 0 130.018 * * [simplify]: Extracting #3: cost 63 inf + 0 130.019 * * [simplify]: Extracting #4: cost 116 inf + 44 130.019 * * [simplify]: Extracting #5: cost 143 inf + 782 130.021 * * [simplify]: Extracting #6: cost 223 inf + 2932 130.024 * * [simplify]: Extracting #7: cost 229 inf + 3828 130.030 * * [simplify]: Extracting #8: cost 149 inf + 22503 130.049 * * [simplify]: Extracting #9: cost 63 inf + 55421 130.068 * * [simplify]: Extracting #10: cost 24 inf + 77129 130.089 * * [simplify]: Extracting #11: cost 3 inf + 96439 130.122 * * [simplify]: Extracting #12: cost 0 inf + 101514 130.169 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (+ (* (* (+ (* (* lambda1 lambda1) lambda1) (* (- (* lambda2 lambda2)) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* lambda1 lambda1)) (* (* (+ (* (* lambda1 lambda1) lambda1) (* (- (* lambda2 lambda2)) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (+ (* (* (+ (* (* lambda1 lambda1) lambda1) (* (- (* lambda2 lambda2)) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* lambda1 lambda1)) (* (* (+ (* (* lambda1 lambda1) lambda1) (* (- (* lambda2 lambda2)) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 130.169 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (+ (* (* (+ (* (* lambda1 lambda1) lambda1) (* (- (* lambda2 lambda2)) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* lambda1 lambda1)) (* (* (+ (* (* lambda1 lambda1) lambda1) (* (- (* lambda2 lambda2)) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (+ (* (* (+ (* (* lambda1 lambda1) lambda1) (* (- (* lambda2 lambda2)) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* lambda1 lambda1)) (* (* (+ (* (* lambda1 lambda1) lambda1) (* (- (* lambda2 lambda2)) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 130.170 * * * * [progress]: [ 154 / 5906 ] simplifiying candidate # 130.171 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 130.171 * * [simplify]: iters left: 6 (47 enodes) 130.195 * * [simplify]: iters left: 5 (232 enodes) 130.297 * * [simplify]: Extracting #0: cost 1 inf + 0 130.297 * * [simplify]: Extracting #1: cost 3 inf + 0 130.297 * * [simplify]: Extracting #2: cost 6 inf + 0 130.297 * * [simplify]: Extracting #3: cost 54 inf + 0 130.298 * * [simplify]: Extracting #4: cost 120 inf + 0 130.299 * * [simplify]: Extracting #5: cost 193 inf + 0 130.300 * * [simplify]: Extracting #6: cost 267 inf + 1771 130.303 * * [simplify]: Extracting #7: cost 233 inf + 11438 130.310 * * [simplify]: Extracting #8: cost 158 inf + 22276 130.324 * * [simplify]: Extracting #9: cost 92 inf + 44366 130.346 * * [simplify]: Extracting #10: cost 49 inf + 65640 130.365 * * [simplify]: Extracting #11: cost 9 inf + 102577 130.400 * * [simplify]: Extracting #12: cost 0 inf + 114082 130.438 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 130.438 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 130.439 * * * * [progress]: [ 155 / 5906 ] simplifiying candidate # 130.439 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 130.441 * * [simplify]: iters left: 6 (48 enodes) 130.454 * * [simplify]: iters left: 5 (241 enodes) 130.511 * * [simplify]: Extracting #0: cost 1 inf + 0 130.511 * * [simplify]: Extracting #1: cost 3 inf + 0 130.511 * * [simplify]: Extracting #2: cost 6 inf + 0 130.511 * * [simplify]: Extracting #3: cost 58 inf + 0 130.511 * * [simplify]: Extracting #4: cost 143 inf + 0 130.512 * * [simplify]: Extracting #5: cost 202 inf + 412 130.513 * * [simplify]: Extracting #6: cost 237 inf + 6862 130.521 * * [simplify]: Extracting #7: cost 219 inf + 14509 130.529 * * [simplify]: Extracting #8: cost 153 inf + 26910 130.547 * * [simplify]: Extracting #9: cost 88 inf + 51994 130.570 * * [simplify]: Extracting #10: cost 35 inf + 80306 130.594 * * [simplify]: Extracting #11: cost 5 inf + 109934 130.643 * * [simplify]: Extracting #12: cost 0 inf + 115979 130.673 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 130.673 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 130.674 * * * * [progress]: [ 156 / 5906 ] simplifiying candidate # 130.674 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 130.675 * * [simplify]: iters left: 6 (48 enodes) 130.693 * * [simplify]: iters left: 5 (241 enodes) 130.767 * * [simplify]: Extracting #0: cost 1 inf + 0 130.767 * * [simplify]: Extracting #1: cost 3 inf + 0 130.767 * * [simplify]: Extracting #2: cost 6 inf + 0 130.768 * * [simplify]: Extracting #3: cost 60 inf + 0 130.768 * * [simplify]: Extracting #4: cost 141 inf + 0 130.769 * * [simplify]: Extracting #5: cost 199 inf + 210 130.772 * * [simplify]: Extracting #6: cost 247 inf + 4357 130.781 * * [simplify]: Extracting #7: cost 222 inf + 12733 130.787 * * [simplify]: Extracting #8: cost 171 inf + 23330 130.795 * * [simplify]: Extracting #9: cost 105 inf + 39847 130.808 * * [simplify]: Extracting #10: cost 57 inf + 63801 130.828 * * [simplify]: Extracting #11: cost 11 inf + 103976 130.852 * * [simplify]: Extracting #12: cost 0 inf + 115171 130.877 * * [simplify]: Extracting #13: cost 0 inf + 115091 130.916 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 130.916 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 130.917 * * * * [progress]: [ 157 / 5906 ] simplifiying candidate # 130.918 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 130.918 * * [simplify]: iters left: 6 (42 enodes) 130.940 * * [simplify]: iters left: 5 (205 enodes) 131.024 * * [simplify]: Extracting #0: cost 1 inf + 0 131.024 * * [simplify]: Extracting #1: cost 3 inf + 0 131.024 * * [simplify]: Extracting #2: cost 6 inf + 0 131.024 * * [simplify]: Extracting #3: cost 52 inf + 0 131.025 * * [simplify]: Extracting #4: cost 109 inf + 0 131.025 * * [simplify]: Extracting #5: cost 150 inf + 85 131.027 * * [simplify]: Extracting #6: cost 215 inf + 1030 131.029 * * [simplify]: Extracting #7: cost 212 inf + 3224 131.037 * * [simplify]: Extracting #8: cost 170 inf + 9147 131.045 * * [simplify]: Extracting #9: cost 109 inf + 25185 131.062 * * [simplify]: Extracting #10: cost 55 inf + 50649 131.075 * * [simplify]: Extracting #11: cost 24 inf + 69910 131.101 * * [simplify]: Extracting #12: cost 1 inf + 92045 131.124 * * [simplify]: Extracting #13: cost 0 inf + 93670 131.145 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 131.145 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 131.146 * * * * [progress]: [ 158 / 5906 ] simplifiying candidate # 131.146 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 131.147 * * [simplify]: iters left: 6 (47 enodes) 131.160 * * [simplify]: iters left: 5 (233 enodes) 131.243 * * [simplify]: Extracting #0: cost 1 inf + 0 131.243 * * [simplify]: Extracting #1: cost 3 inf + 0 131.243 * * [simplify]: Extracting #2: cost 10 inf + 0 131.243 * * [simplify]: Extracting #3: cost 72 inf + 0 131.243 * * [simplify]: Extracting #4: cost 126 inf + 42 131.244 * * [simplify]: Extracting #5: cost 170 inf + 332 131.245 * * [simplify]: Extracting #6: cost 232 inf + 2930 131.246 * * [simplify]: Extracting #7: cost 228 inf + 6005 131.249 * * [simplify]: Extracting #8: cost 161 inf + 18017 131.255 * * [simplify]: Extracting #9: cost 102 inf + 36059 131.271 * * [simplify]: Extracting #10: cost 51 inf + 62139 131.304 * * [simplify]: Extracting #11: cost 8 inf + 96161 131.345 * * [simplify]: Extracting #12: cost 0 inf + 105761 131.369 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 131.369 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 131.370 * * * * [progress]: [ 159 / 5906 ] simplifiying candidate # 131.370 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 131.370 * * [simplify]: iters left: 6 (42 enodes) 131.381 * * [simplify]: iters left: 5 (205 enodes) 131.422 * * [simplify]: Extracting #0: cost 1 inf + 0 131.422 * * [simplify]: Extracting #1: cost 3 inf + 0 131.422 * * [simplify]: Extracting #2: cost 10 inf + 0 131.423 * * [simplify]: Extracting #3: cost 64 inf + 0 131.423 * * [simplify]: Extracting #4: cost 106 inf + 86 131.423 * * [simplify]: Extracting #5: cost 135 inf + 1228 131.424 * * [simplify]: Extracting #6: cost 201 inf + 2932 131.426 * * [simplify]: Extracting #7: cost 212 inf + 3100 131.432 * * [simplify]: Extracting #8: cost 141 inf + 19470 131.450 * * [simplify]: Extracting #9: cost 61 inf + 51418 131.476 * * [simplify]: Extracting #10: cost 22 inf + 76931 131.511 * * [simplify]: Extracting #11: cost 0 inf + 90560 131.533 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))))))) 131.533 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 131.534 * * * * [progress]: [ 160 / 5906 ] simplifiying candidate # 131.534 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 131.534 * * [simplify]: iters left: 6 (47 enodes) 131.556 * * [simplify]: iters left: 5 (233 enodes) 131.648 * * [simplify]: Extracting #0: cost 1 inf + 0 131.648 * * [simplify]: Extracting #1: cost 3 inf + 0 131.648 * * [simplify]: Extracting #2: cost 10 inf + 0 131.648 * * [simplify]: Extracting #3: cost 72 inf + 0 131.649 * * [simplify]: Extracting #4: cost 126 inf + 42 131.649 * * [simplify]: Extracting #5: cost 170 inf + 332 131.651 * * [simplify]: Extracting #6: cost 230 inf + 3454 131.653 * * [simplify]: Extracting #7: cost 223 inf + 8189 131.656 * * [simplify]: Extracting #8: cost 159 inf + 19226 131.661 * * [simplify]: Extracting #9: cost 102 inf + 36661 131.672 * * [simplify]: Extracting #10: cost 51 inf + 62661 131.703 * * [simplify]: Extracting #11: cost 8 inf + 97041 131.739 * * [simplify]: Extracting #12: cost 0 inf + 106641 131.761 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 131.761 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 131.762 * * * * [progress]: [ 161 / 5906 ] simplifiying candidate # 131.762 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 131.762 * * [simplify]: iters left: 6 (42 enodes) 131.781 * * [simplify]: iters left: 5 (205 enodes) 131.840 * * [simplify]: Extracting #0: cost 1 inf + 0 131.840 * * [simplify]: Extracting #1: cost 3 inf + 0 131.840 * * [simplify]: Extracting #2: cost 10 inf + 0 131.841 * * [simplify]: Extracting #3: cost 63 inf + 0 131.841 * * [simplify]: Extracting #4: cost 107 inf + 44 131.841 * * [simplify]: Extracting #5: cost 136 inf + 1186 131.842 * * [simplify]: Extracting #6: cost 201 inf + 2932 131.843 * * [simplify]: Extracting #7: cost 212 inf + 3100 131.846 * * [simplify]: Extracting #8: cost 138 inf + 20298 131.862 * * [simplify]: Extracting #9: cost 61 inf + 51418 131.887 * * [simplify]: Extracting #10: cost 22 inf + 77211 131.908 * * [simplify]: Extracting #11: cost 1 inf + 90436 131.937 * * [simplify]: Extracting #12: cost 0 inf + 90960 131.959 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))))))) 131.959 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 131.960 * * * * [progress]: [ 162 / 5906 ] simplifiying candidate # 131.961 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 131.961 * * [simplify]: iters left: 6 (51 enodes) 131.987 * * [simplify]: iters left: 5 (256 enodes) 132.054 * * [simplify]: Extracting #0: cost 1 inf + 0 132.054 * * [simplify]: Extracting #1: cost 3 inf + 0 132.055 * * [simplify]: Extracting #2: cost 6 inf + 0 132.055 * * [simplify]: Extracting #3: cost 56 inf + 0 132.055 * * [simplify]: Extracting #4: cost 130 inf + 0 132.055 * * [simplify]: Extracting #5: cost 214 inf + 0 132.056 * * [simplify]: Extracting #6: cost 304 inf + 551 132.058 * * [simplify]: Extracting #7: cost 258 inf + 11769 132.065 * * [simplify]: Extracting #8: cost 132 inf + 43484 132.092 * * [simplify]: Extracting #9: cost 53 inf + 74523 132.136 * * [simplify]: Extracting #10: cost 11 inf + 114315 132.184 * * [simplify]: Extracting #11: cost 1 inf + 128325 132.222 * * [simplify]: Extracting #12: cost 0 inf + 130390 132.257 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 132.258 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 132.258 * * * * [progress]: [ 163 / 5906 ] simplifiying candidate # 132.259 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 132.259 * * [simplify]: iters left: 6 (52 enodes) 132.274 * * [simplify]: iters left: 5 (265 enodes) 132.348 * * [simplify]: Extracting #0: cost 1 inf + 0 132.349 * * [simplify]: Extracting #1: cost 3 inf + 0 132.349 * * [simplify]: Extracting #2: cost 6 inf + 0 132.349 * * [simplify]: Extracting #3: cost 60 inf + 0 132.349 * * [simplify]: Extracting #4: cost 153 inf + 0 132.351 * * [simplify]: Extracting #5: cost 226 inf + 127 132.354 * * [simplify]: Extracting #6: cost 278 inf + 5088 132.359 * * [simplify]: Extracting #7: cost 251 inf + 12656 132.373 * * [simplify]: Extracting #8: cost 146 inf + 35707 132.386 * * [simplify]: Extracting #9: cost 70 inf + 65005 132.403 * * [simplify]: Extracting #10: cost 33 inf + 93925 132.446 * * [simplify]: Extracting #11: cost 4 inf + 128467 132.498 * * [simplify]: Extracting #12: cost 0 inf + 133327 132.554 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) 132.554 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 132.555 * * * * [progress]: [ 164 / 5906 ] simplifiying candidate # 132.556 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 132.556 * * [simplify]: iters left: 6 (52 enodes) 132.572 * * [simplify]: iters left: 5 (265 enodes) 132.640 * * [simplify]: Extracting #0: cost 1 inf + 0 132.640 * * [simplify]: Extracting #1: cost 3 inf + 0 132.640 * * [simplify]: Extracting #2: cost 6 inf + 0 132.640 * * [simplify]: Extracting #3: cost 62 inf + 0 132.640 * * [simplify]: Extracting #4: cost 151 inf + 0 132.641 * * [simplify]: Extracting #5: cost 223 inf + 85 132.642 * * [simplify]: Extracting #6: cost 284 inf + 3307 132.645 * * [simplify]: Extracting #7: cost 251 inf + 11786 132.649 * * [simplify]: Extracting #8: cost 179 inf + 23718 132.658 * * [simplify]: Extracting #9: cost 104 inf + 51026 132.686 * * [simplify]: Extracting #10: cost 50 inf + 79180 132.730 * * [simplify]: Extracting #11: cost 11 inf + 115924 132.788 * * [simplify]: Extracting #12: cost 0 inf + 129839 132.834 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 132.834 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 132.835 * * * * [progress]: [ 165 / 5906 ] simplifiying candidate # 132.835 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 132.835 * * [simplify]: iters left: 6 (46 enodes) 132.847 * * [simplify]: iters left: 5 (229 enodes) 132.919 * * [simplify]: Extracting #0: cost 1 inf + 0 132.919 * * [simplify]: Extracting #1: cost 3 inf + 0 132.919 * * [simplify]: Extracting #2: cost 6 inf + 0 132.919 * * [simplify]: Extracting #3: cost 54 inf + 0 132.919 * * [simplify]: Extracting #4: cost 119 inf + 0 132.920 * * [simplify]: Extracting #5: cost 171 inf + 126 132.921 * * [simplify]: Extracting #6: cost 248 inf + 990 132.922 * * [simplify]: Extracting #7: cost 246 inf + 2414 132.925 * * [simplify]: Extracting #8: cost 165 inf + 18852 132.932 * * [simplify]: Extracting #9: cost 90 inf + 40949 132.944 * * [simplify]: Extracting #10: cost 44 inf + 65751 132.964 * * [simplify]: Extracting #11: cost 6 inf + 99108 132.986 * * [simplify]: Extracting #12: cost 1 inf + 106113 133.019 * * [simplify]: Extracting #13: cost 0 inf + 107978 133.055 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) 133.055 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 133.056 * * * * [progress]: [ 166 / 5906 ] simplifiying candidate # 133.056 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 133.056 * * [simplify]: iters left: 6 (51 enodes) 133.070 * * [simplify]: iters left: 5 (257 enodes) 133.131 * * [simplify]: Extracting #0: cost 1 inf + 0 133.131 * * [simplify]: Extracting #1: cost 3 inf + 0 133.131 * * [simplify]: Extracting #2: cost 10 inf + 0 133.131 * * [simplify]: Extracting #3: cost 74 inf + 0 133.131 * * [simplify]: Extracting #4: cost 136 inf + 42 133.132 * * [simplify]: Extracting #5: cost 193 inf + 249 133.133 * * [simplify]: Extracting #6: cost 270 inf + 2042 133.135 * * [simplify]: Extracting #7: cost 244 inf + 9543 133.140 * * [simplify]: Extracting #8: cost 166 inf + 23689 133.154 * * [simplify]: Extracting #9: cost 103 inf + 45466 133.181 * * [simplify]: Extracting #10: cost 36 inf + 82449 133.207 * * [simplify]: Extracting #11: cost 5 inf + 114544 133.249 * * [simplify]: Extracting #12: cost 1 inf + 121684 133.276 * * [simplify]: Extracting #13: cost 0 inf + 123749 133.318 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) 133.318 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 133.318 * * * * [progress]: [ 167 / 5906 ] simplifiying candidate # 133.319 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 133.319 * * [simplify]: iters left: 6 (46 enodes) 133.331 * * [simplify]: iters left: 5 (229 enodes) 133.403 * * [simplify]: Extracting #0: cost 1 inf + 0 133.403 * * [simplify]: Extracting #1: cost 3 inf + 0 133.403 * * [simplify]: Extracting #2: cost 10 inf + 0 133.403 * * [simplify]: Extracting #3: cost 66 inf + 0 133.404 * * [simplify]: Extracting #4: cost 117 inf + 44 133.405 * * [simplify]: Extracting #5: cost 160 inf + 740 133.407 * * [simplify]: Extracting #6: cost 235 inf + 2770 133.409 * * [simplify]: Extracting #7: cost 242 inf + 3218 133.411 * * [simplify]: Extracting #8: cost 180 inf + 14388 133.418 * * [simplify]: Extracting #9: cost 97 inf + 42577 133.429 * * [simplify]: Extracting #10: cost 42 inf + 65806 133.450 * * [simplify]: Extracting #11: cost 22 inf + 78718 133.493 * * [simplify]: Extracting #12: cost 2 inf + 101218 133.529 * * [simplify]: Extracting #13: cost 0 inf + 104908 133.552 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ phi2 phi1))))) 133.552 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 133.553 * * * * [progress]: [ 168 / 5906 ] simplifiying candidate # 133.553 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 133.554 * * [simplify]: iters left: 6 (51 enodes) 133.579 * * [simplify]: iters left: 5 (257 enodes) 133.662 * * [simplify]: Extracting #0: cost 1 inf + 0 133.662 * * [simplify]: Extracting #1: cost 3 inf + 0 133.662 * * [simplify]: Extracting #2: cost 10 inf + 0 133.663 * * [simplify]: Extracting #3: cost 74 inf + 0 133.663 * * [simplify]: Extracting #4: cost 136 inf + 42 133.664 * * [simplify]: Extracting #5: cost 193 inf + 248 133.666 * * [simplify]: Extracting #6: cost 270 inf + 2040 133.670 * * [simplify]: Extracting #7: cost 240 inf + 10309 133.677 * * [simplify]: Extracting #8: cost 171 inf + 22749 133.690 * * [simplify]: Extracting #9: cost 102 inf + 45872 133.704 * * [simplify]: Extracting #10: cost 37 inf + 82645 133.739 * * [simplify]: Extracting #11: cost 5 inf + 115504 133.768 * * [simplify]: Extracting #12: cost 1 inf + 122644 133.798 * * [simplify]: Extracting #13: cost 0 inf + 124709 133.830 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) 133.830 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 133.831 * * * * [progress]: [ 169 / 5906 ] simplifiying candidate # 133.831 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 133.831 * * [simplify]: iters left: 6 (46 enodes) 133.845 * * [simplify]: iters left: 5 (229 enodes) 133.937 * * [simplify]: Extracting #0: cost 1 inf + 0 133.937 * * [simplify]: Extracting #1: cost 3 inf + 0 133.937 * * [simplify]: Extracting #2: cost 10 inf + 0 133.937 * * [simplify]: Extracting #3: cost 65 inf + 0 133.938 * * [simplify]: Extracting #4: cost 117 inf + 44 133.938 * * [simplify]: Extracting #5: cost 161 inf + 538 133.939 * * [simplify]: Extracting #6: cost 235 inf + 2770 133.940 * * [simplify]: Extracting #7: cost 241 inf + 3299 133.943 * * [simplify]: Extracting #8: cost 182 inf + 14025 133.950 * * [simplify]: Extracting #9: cost 98 inf + 42594 133.964 * * [simplify]: Extracting #10: cost 42 inf + 66417 133.981 * * [simplify]: Extracting #11: cost 21 inf + 80023 134.001 * * [simplify]: Extracting #12: cost 2 inf + 101618 134.042 * * [simplify]: Extracting #13: cost 0 inf + 105308 134.085 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ phi2 phi1))))) 134.085 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 134.086 * * * * [progress]: [ 170 / 5906 ] simplifiying candidate # 134.086 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 134.087 * * [simplify]: iters left: 6 (52 enodes) 134.114 * * [simplify]: iters left: 5 (253 enodes) 134.175 * * [simplify]: Extracting #0: cost 1 inf + 0 134.175 * * [simplify]: Extracting #1: cost 3 inf + 0 134.175 * * [simplify]: Extracting #2: cost 6 inf + 0 134.175 * * [simplify]: Extracting #3: cost 56 inf + 0 134.176 * * [simplify]: Extracting #4: cost 130 inf + 0 134.176 * * [simplify]: Extracting #5: cost 216 inf + 0 134.177 * * [simplify]: Extracting #6: cost 304 inf + 722 134.178 * * [simplify]: Extracting #7: cost 269 inf + 6553 134.183 * * [simplify]: Extracting #8: cost 153 inf + 36022 134.196 * * [simplify]: Extracting #9: cost 69 inf + 62771 134.209 * * [simplify]: Extracting #10: cost 38 inf + 85241 134.231 * * [simplify]: Extracting #11: cost 8 inf + 118012 134.257 * * [simplify]: Extracting #12: cost 0 inf + 129488 134.284 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 134.284 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 134.284 * * * * [progress]: [ 171 / 5906 ] simplifiying candidate # 134.285 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 134.285 * * [simplify]: iters left: 6 (53 enodes) 134.300 * * [simplify]: iters left: 5 (262 enodes) 134.400 * * [simplify]: Extracting #0: cost 1 inf + 0 134.401 * * [simplify]: Extracting #1: cost 3 inf + 0 134.401 * * [simplify]: Extracting #2: cost 6 inf + 0 134.401 * * [simplify]: Extracting #3: cost 60 inf + 0 134.401 * * [simplify]: Extracting #4: cost 153 inf + 0 134.402 * * [simplify]: Extracting #5: cost 230 inf + 44 134.407 * * [simplify]: Extracting #6: cost 282 inf + 4400 134.409 * * [simplify]: Extracting #7: cost 251 inf + 10132 134.413 * * [simplify]: Extracting #8: cost 188 inf + 21808 134.422 * * [simplify]: Extracting #9: cost 105 inf + 51826 134.435 * * [simplify]: Extracting #10: cost 53 inf + 77180 134.460 * * [simplify]: Extracting #11: cost 36 inf + 89725 134.507 * * [simplify]: Extracting #12: cost 4 inf + 128925 134.542 * * [simplify]: Extracting #13: cost 0 inf + 134745 134.574 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 134.574 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 134.575 * * * * [progress]: [ 172 / 5906 ] simplifiying candidate # 134.575 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 134.575 * * [simplify]: iters left: 6 (53 enodes) 134.599 * * [simplify]: iters left: 5 (262 enodes) 134.674 * * [simplify]: Extracting #0: cost 1 inf + 0 134.674 * * [simplify]: Extracting #1: cost 3 inf + 0 134.674 * * [simplify]: Extracting #2: cost 6 inf + 0 134.674 * * [simplify]: Extracting #3: cost 62 inf + 0 134.674 * * [simplify]: Extracting #4: cost 151 inf + 0 134.675 * * [simplify]: Extracting #5: cost 226 inf + 44 134.676 * * [simplify]: Extracting #6: cost 286 inf + 3345 134.679 * * [simplify]: Extracting #7: cost 237 inf + 13136 134.684 * * [simplify]: Extracting #8: cost 149 inf + 33548 134.703 * * [simplify]: Extracting #9: cost 62 inf + 69641 134.732 * * [simplify]: Extracting #10: cost 37 inf + 87132 134.771 * * [simplify]: Extracting #11: cost 6 inf + 124427 134.806 * * [simplify]: Extracting #12: cost 0 inf + 132657 134.844 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 134.844 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 134.844 * * * * [progress]: [ 173 / 5906 ] simplifiying candidate # 134.845 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 134.845 * * [simplify]: iters left: 6 (47 enodes) 134.857 * * [simplify]: iters left: 5 (226 enodes) 134.941 * * [simplify]: Extracting #0: cost 1 inf + 0 134.942 * * [simplify]: Extracting #1: cost 3 inf + 0 134.942 * * [simplify]: Extracting #2: cost 6 inf + 0 134.942 * * [simplify]: Extracting #3: cost 54 inf + 0 134.942 * * [simplify]: Extracting #4: cost 119 inf + 0 134.943 * * [simplify]: Extracting #5: cost 174 inf + 44 134.944 * * [simplify]: Extracting #6: cost 247 inf + 1192 134.947 * * [simplify]: Extracting #7: cost 237 inf + 3428 134.955 * * [simplify]: Extracting #8: cost 131 inf + 29799 134.975 * * [simplify]: Extracting #9: cost 64 inf + 57310 135.005 * * [simplify]: Extracting #10: cost 16 inf + 94248 135.034 * * [simplify]: Extracting #11: cost 1 inf + 106971 135.071 * * [simplify]: Extracting #12: cost 0 inf + 107876 135.098 * * [simplify]: Extracting #13: cost 0 inf + 107836 135.142 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 135.142 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 135.143 * * * * [progress]: [ 174 / 5906 ] simplifiying candidate # 135.143 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 135.144 * * [simplify]: iters left: 6 (52 enodes) 135.169 * * [simplify]: iters left: 5 (254 enodes) 135.248 * * [simplify]: Extracting #0: cost 1 inf + 0 135.248 * * [simplify]: Extracting #1: cost 3 inf + 0 135.248 * * [simplify]: Extracting #2: cost 10 inf + 0 135.248 * * [simplify]: Extracting #3: cost 74 inf + 0 135.249 * * [simplify]: Extracting #4: cost 137 inf + 1 135.250 * * [simplify]: Extracting #5: cost 196 inf + 207 135.252 * * [simplify]: Extracting #6: cost 262 inf + 3575 135.255 * * [simplify]: Extracting #7: cost 249 inf + 7428 135.265 * * [simplify]: Extracting #8: cost 138 inf + 37036 135.281 * * [simplify]: Extracting #9: cost 46 inf + 74066 135.309 * * [simplify]: Extracting #10: cost 13 inf + 108522 135.354 * * [simplify]: Extracting #11: cost 1 inf + 123142 135.403 * * [simplify]: Extracting #12: cost 0 inf + 125207 135.443 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))))) 135.443 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 135.444 * * * * [progress]: [ 175 / 5906 ] simplifiying candidate # 135.444 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 135.445 * * [simplify]: iters left: 6 (47 enodes) 135.457 * * [simplify]: iters left: 5 (226 enodes) 135.537 * * [simplify]: Extracting #0: cost 1 inf + 0 135.537 * * [simplify]: Extracting #1: cost 3 inf + 0 135.537 * * [simplify]: Extracting #2: cost 10 inf + 0 135.537 * * [simplify]: Extracting #3: cost 66 inf + 0 135.538 * * [simplify]: Extracting #4: cost 117 inf + 44 135.539 * * [simplify]: Extracting #5: cost 158 inf + 1348 135.541 * * [simplify]: Extracting #6: cost 234 inf + 2972 135.544 * * [simplify]: Extracting #7: cost 235 inf + 3506 135.550 * * [simplify]: Extracting #8: cost 165 inf + 19805 135.562 * * [simplify]: Extracting #9: cost 68 inf + 55875 135.579 * * [simplify]: Extracting #10: cost 13 inf + 94707 135.603 * * [simplify]: Extracting #11: cost 0 inf + 105486 135.624 * * [simplify]: Extracting #12: cost 0 inf + 104646 135.653 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 135.653 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 135.654 * * * * [progress]: [ 176 / 5906 ] simplifiying candidate # 135.655 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 135.655 * * [simplify]: iters left: 6 (52 enodes) 135.679 * * [simplify]: iters left: 5 (254 enodes) 135.736 * * [simplify]: Extracting #0: cost 1 inf + 0 135.736 * * [simplify]: Extracting #1: cost 3 inf + 0 135.736 * * [simplify]: Extracting #2: cost 10 inf + 0 135.736 * * [simplify]: Extracting #3: cost 74 inf + 0 135.736 * * [simplify]: Extracting #4: cost 137 inf + 1 135.737 * * [simplify]: Extracting #5: cost 196 inf + 207 135.738 * * [simplify]: Extracting #6: cost 272 inf + 1797 135.739 * * [simplify]: Extracting #7: cost 250 inf + 7146 135.744 * * [simplify]: Extracting #8: cost 140 inf + 35614 135.761 * * [simplify]: Extracting #9: cost 45 inf + 75989 135.806 * * [simplify]: Extracting #10: cost 6 inf + 116337 135.858 * * [simplify]: Extracting #11: cost 1 inf + 124262 135.908 * * [simplify]: Extracting #12: cost 0 inf + 126327 135.951 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))))) 135.951 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 135.953 * * * * [progress]: [ 177 / 5906 ] simplifiying candidate # 135.953 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 135.954 * * [simplify]: iters left: 6 (47 enodes) 135.978 * * [simplify]: iters left: 5 (226 enodes) 136.042 * * [simplify]: Extracting #0: cost 1 inf + 0 136.042 * * [simplify]: Extracting #1: cost 3 inf + 0 136.042 * * [simplify]: Extracting #2: cost 10 inf + 0 136.042 * * [simplify]: Extracting #3: cost 65 inf + 0 136.042 * * [simplify]: Extracting #4: cost 116 inf + 86 136.043 * * [simplify]: Extracting #5: cost 157 inf + 1350 136.044 * * [simplify]: Extracting #6: cost 234 inf + 2932 136.045 * * [simplify]: Extracting #7: cost 233 inf + 3709 136.049 * * [simplify]: Extracting #8: cost 165 inf + 20147 136.067 * * [simplify]: Extracting #9: cost 75 inf + 51197 136.088 * * [simplify]: Extracting #10: cost 17 inf + 91934 136.119 * * [simplify]: Extracting #11: cost 0 inf + 106206 136.149 * * [simplify]: Extracting #12: cost 0 inf + 105206 136.175 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 136.175 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 136.177 * * * * [progress]: [ 178 / 5906 ] simplifiying candidate # 136.177 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 136.178 * * [simplify]: iters left: 6 (52 enodes) 136.201 * * [simplify]: iters left: 5 (254 enodes) 136.286 * * [simplify]: Extracting #0: cost 1 inf + 0 136.286 * * [simplify]: Extracting #1: cost 3 inf + 0 136.286 * * [simplify]: Extracting #2: cost 6 inf + 0 136.286 * * [simplify]: Extracting #3: cost 56 inf + 0 136.287 * * [simplify]: Extracting #4: cost 130 inf + 0 136.288 * * [simplify]: Extracting #5: cost 211 inf + 0 136.289 * * [simplify]: Extracting #6: cost 296 inf + 760 136.293 * * [simplify]: Extracting #7: cost 249 inf + 10693 136.297 * * [simplify]: Extracting #8: cost 163 inf + 27737 136.305 * * [simplify]: Extracting #9: cost 96 inf + 52004 136.318 * * [simplify]: Extracting #10: cost 41 inf + 80193 136.351 * * [simplify]: Extracting #11: cost 10 inf + 115408 136.376 * * [simplify]: Extracting #12: cost 1 inf + 128353 136.415 * * [simplify]: Extracting #13: cost 0 inf + 130418 136.445 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ lambda2 lambda1)))))) 136.445 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 136.446 * * * * [progress]: [ 179 / 5906 ] simplifiying candidate # 136.447 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 136.447 * * [simplify]: iters left: 6 (53 enodes) 136.474 * * [simplify]: iters left: 5 (263 enodes) 136.556 * * [simplify]: Extracting #0: cost 1 inf + 0 136.557 * * [simplify]: Extracting #1: cost 3 inf + 0 136.557 * * [simplify]: Extracting #2: cost 6 inf + 0 136.557 * * [simplify]: Extracting #3: cost 60 inf + 0 136.558 * * [simplify]: Extracting #4: cost 153 inf + 0 136.559 * * [simplify]: Extracting #5: cost 225 inf + 44 136.561 * * [simplify]: Extracting #6: cost 278 inf + 4122 136.570 * * [simplify]: Extracting #7: cost 235 inf + 15228 136.578 * * [simplify]: Extracting #8: cost 170 inf + 29545 136.587 * * [simplify]: Extracting #9: cost 98 inf + 56135 136.602 * * [simplify]: Extracting #10: cost 47 inf + 81500 136.644 * * [simplify]: Extracting #11: cost 12 inf + 116855 136.687 * * [simplify]: Extracting #12: cost 0 inf + 131675 136.717 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 136.717 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 136.718 * * * * [progress]: [ 180 / 5906 ] simplifiying candidate # 136.719 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 136.720 * * [simplify]: iters left: 6 (53 enodes) 136.747 * * [simplify]: iters left: 5 (263 enodes) 136.860 * * [simplify]: Extracting #0: cost 1 inf + 0 136.860 * * [simplify]: Extracting #1: cost 3 inf + 0 136.860 * * [simplify]: Extracting #2: cost 6 inf + 0 136.861 * * [simplify]: Extracting #3: cost 62 inf + 0 136.861 * * [simplify]: Extracting #4: cost 151 inf + 0 136.861 * * [simplify]: Extracting #5: cost 221 inf + 44 136.863 * * [simplify]: Extracting #6: cost 274 inf + 4080 136.866 * * [simplify]: Extracting #7: cost 227 inf + 16154 136.871 * * [simplify]: Extracting #8: cost 144 inf + 36960 136.883 * * [simplify]: Extracting #9: cost 64 inf + 66660 136.899 * * [simplify]: Extracting #10: cost 36 inf + 86647 136.922 * * [simplify]: Extracting #11: cost 8 inf + 118187 136.951 * * [simplify]: Extracting #12: cost 0 inf + 130667 136.978 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 136.978 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 136.979 * * * * [progress]: [ 181 / 5906 ] simplifiying candidate # 136.979 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 136.979 * * [simplify]: iters left: 6 (47 enodes) 136.991 * * [simplify]: iters left: 5 (227 enodes) 137.040 * * [simplify]: Extracting #0: cost 1 inf + 0 137.040 * * [simplify]: Extracting #1: cost 3 inf + 0 137.040 * * [simplify]: Extracting #2: cost 6 inf + 0 137.040 * * [simplify]: Extracting #3: cost 54 inf + 0 137.040 * * [simplify]: Extracting #4: cost 119 inf + 0 137.041 * * [simplify]: Extracting #5: cost 169 inf + 44 137.041 * * [simplify]: Extracting #6: cost 241 inf + 1237 137.043 * * [simplify]: Extracting #7: cost 225 inf + 4937 137.047 * * [simplify]: Extracting #8: cost 128 inf + 28328 137.057 * * [simplify]: Extracting #9: cost 64 inf + 53373 137.082 * * [simplify]: Extracting #10: cost 15 inf + 92021 137.110 * * [simplify]: Extracting #11: cost 1 inf + 106621 137.140 * * [simplify]: Extracting #12: cost 0 inf + 108526 137.186 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 137.186 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 137.187 * * * * [progress]: [ 182 / 5906 ] simplifiying candidate # 137.188 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 137.188 * * [simplify]: iters left: 6 (52 enodes) 137.217 * * [simplify]: iters left: 5 (255 enodes) 137.286 * * [simplify]: Extracting #0: cost 1 inf + 0 137.286 * * [simplify]: Extracting #1: cost 3 inf + 0 137.286 * * [simplify]: Extracting #2: cost 10 inf + 0 137.286 * * [simplify]: Extracting #3: cost 74 inf + 0 137.287 * * [simplify]: Extracting #4: cost 137 inf + 1 137.287 * * [simplify]: Extracting #5: cost 192 inf + 165 137.288 * * [simplify]: Extracting #6: cost 255 inf + 3787 137.291 * * [simplify]: Extracting #7: cost 231 inf + 10185 137.298 * * [simplify]: Extracting #8: cost 164 inf + 24504 137.313 * * [simplify]: Extracting #9: cost 104 inf + 46480 137.336 * * [simplify]: Extracting #10: cost 57 inf + 67154 137.363 * * [simplify]: Extracting #11: cost 31 inf + 84082 137.407 * * [simplify]: Extracting #12: cost 2 inf + 118207 137.446 * * [simplify]: Extracting #13: cost 0 inf + 122137 137.475 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 137.475 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 137.476 * * * * [progress]: [ 183 / 5906 ] simplifiying candidate # 137.477 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 137.477 * * [simplify]: iters left: 6 (47 enodes) 137.501 * * [simplify]: iters left: 5 (227 enodes) 137.559 * * [simplify]: Extracting #0: cost 1 inf + 0 137.559 * * [simplify]: Extracting #1: cost 3 inf + 0 137.559 * * [simplify]: Extracting #2: cost 10 inf + 0 137.559 * * [simplify]: Extracting #3: cost 66 inf + 0 137.559 * * [simplify]: Extracting #4: cost 117 inf + 44 137.560 * * [simplify]: Extracting #5: cost 152 inf + 1270 137.561 * * [simplify]: Extracting #6: cost 228 inf + 2976 137.562 * * [simplify]: Extracting #7: cost 226 inf + 4567 137.566 * * [simplify]: Extracting #8: cost 128 inf + 28037 137.585 * * [simplify]: Extracting #9: cost 54 inf + 59925 137.615 * * [simplify]: Extracting #10: cost 13 inf + 87291 137.655 * * [simplify]: Extracting #11: cost 3 inf + 97741 137.698 * * [simplify]: Extracting #12: cost 1 inf + 101351 137.734 * * [simplify]: Extracting #13: cost 0 inf + 103176 137.770 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) 137.770 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 137.771 * * * * [progress]: [ 184 / 5906 ] simplifiying candidate # 137.772 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 137.772 * * [simplify]: iters left: 6 (52 enodes) 137.795 * * [simplify]: iters left: 5 (255 enodes) 137.866 * * [simplify]: Extracting #0: cost 1 inf + 0 137.866 * * [simplify]: Extracting #1: cost 3 inf + 0 137.866 * * [simplify]: Extracting #2: cost 10 inf + 0 137.867 * * [simplify]: Extracting #3: cost 74 inf + 0 137.867 * * [simplify]: Extracting #4: cost 137 inf + 1 137.868 * * [simplify]: Extracting #5: cost 192 inf + 165 137.870 * * [simplify]: Extracting #6: cost 253 inf + 4108 137.874 * * [simplify]: Extracting #7: cost 229 inf + 10588 137.881 * * [simplify]: Extracting #8: cost 165 inf + 24423 137.894 * * [simplify]: Extracting #9: cost 105 inf + 46977 137.912 * * [simplify]: Extracting #10: cost 57 inf + 68114 137.927 * * [simplify]: Extracting #11: cost 31 inf + 85042 137.963 * * [simplify]: Extracting #12: cost 2 inf + 119167 138.013 * * [simplify]: Extracting #13: cost 0 inf + 123097 138.064 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 138.064 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 138.066 * * * * [progress]: [ 185 / 5906 ] simplifiying candidate # 138.066 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 138.067 * * [simplify]: iters left: 6 (47 enodes) 138.090 * * [simplify]: iters left: 5 (227 enodes) 138.158 * * [simplify]: Extracting #0: cost 1 inf + 0 138.158 * * [simplify]: Extracting #1: cost 3 inf + 0 138.158 * * [simplify]: Extracting #2: cost 10 inf + 0 138.158 * * [simplify]: Extracting #3: cost 65 inf + 0 138.159 * * [simplify]: Extracting #4: cost 116 inf + 86 138.160 * * [simplify]: Extracting #5: cost 151 inf + 1472 138.162 * * [simplify]: Extracting #6: cost 229 inf + 2934 138.165 * * [simplify]: Extracting #7: cost 229 inf + 4283 138.172 * * [simplify]: Extracting #8: cost 137 inf + 24942 138.189 * * [simplify]: Extracting #9: cost 67 inf + 51572 138.217 * * [simplify]: Extracting #10: cost 16 inf + 84659 138.246 * * [simplify]: Extracting #11: cost 3 inf + 96421 138.266 * * [simplify]: Extracting #12: cost 1 inf + 99871 138.289 * * [simplify]: Extracting #13: cost 0 inf + 101696 138.327 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) 138.327 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 138.327 * * * * [progress]: [ 186 / 5906 ] simplifiying candidate # 138.328 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 138.328 * * [simplify]: iters left: 6 (52 enodes) 138.342 * * [simplify]: iters left: 5 (254 enodes) 138.414 * * [simplify]: Extracting #0: cost 1 inf + 0 138.414 * * [simplify]: Extracting #1: cost 3 inf + 0 138.415 * * [simplify]: Extracting #2: cost 6 inf + 0 138.415 * * [simplify]: Extracting #3: cost 56 inf + 0 138.415 * * [simplify]: Extracting #4: cost 130 inf + 0 138.416 * * [simplify]: Extracting #5: cost 215 inf + 0 138.418 * * [simplify]: Extracting #6: cost 304 inf + 722 138.421 * * [simplify]: Extracting #7: cost 263 inf + 8577 138.428 * * [simplify]: Extracting #8: cost 178 inf + 23632 138.441 * * [simplify]: Extracting #9: cost 117 inf + 41527 138.465 * * [simplify]: Extracting #10: cost 52 inf + 73924 138.503 * * [simplify]: Extracting #11: cost 8 inf + 117989 138.535 * * [simplify]: Extracting #12: cost 1 inf + 127343 138.585 * * [simplify]: Extracting #13: cost 0 inf + 129328 138.636 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 138.637 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 138.638 * * * * [progress]: [ 187 / 5906 ] simplifiying candidate # 138.638 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 138.639 * * [simplify]: iters left: 6 (53 enodes) 138.667 * * [simplify]: iters left: 5 (263 enodes) 138.777 * * [simplify]: Extracting #0: cost 1 inf + 0 138.777 * * [simplify]: Extracting #1: cost 3 inf + 0 138.777 * * [simplify]: Extracting #2: cost 6 inf + 0 138.778 * * [simplify]: Extracting #3: cost 60 inf + 0 138.778 * * [simplify]: Extracting #4: cost 153 inf + 0 138.779 * * [simplify]: Extracting #5: cost 228 inf + 85 138.782 * * [simplify]: Extracting #6: cost 285 inf + 3833 138.791 * * [simplify]: Extracting #7: cost 250 inf + 11578 138.800 * * [simplify]: Extracting #8: cost 172 inf + 27057 138.813 * * [simplify]: Extracting #9: cost 99 inf + 55321 138.827 * * [simplify]: Extracting #10: cost 51 inf + 78590 138.859 * * [simplify]: Extracting #11: cost 11 inf + 119710 138.905 * * [simplify]: Extracting #12: cost 0 inf + 135305 138.937 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 138.938 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 138.939 * * * * [progress]: [ 188 / 5906 ] simplifiying candidate # 138.939 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 138.940 * * [simplify]: iters left: 6 (53 enodes) 138.960 * * [simplify]: iters left: 5 (263 enodes) 139.026 * * [simplify]: Extracting #0: cost 1 inf + 0 139.026 * * [simplify]: Extracting #1: cost 3 inf + 0 139.026 * * [simplify]: Extracting #2: cost 6 inf + 0 139.026 * * [simplify]: Extracting #3: cost 62 inf + 0 139.026 * * [simplify]: Extracting #4: cost 151 inf + 0 139.027 * * [simplify]: Extracting #5: cost 225 inf + 44 139.028 * * [simplify]: Extracting #6: cost 284 inf + 3749 139.033 * * [simplify]: Extracting #7: cost 243 inf + 13176 139.041 * * [simplify]: Extracting #8: cost 182 inf + 24058 139.060 * * [simplify]: Extracting #9: cost 98 inf + 57497 139.088 * * [simplify]: Extracting #10: cost 46 inf + 81987 139.130 * * [simplify]: Extracting #11: cost 13 inf + 115612 139.171 * * [simplify]: Extracting #12: cost 0 inf + 131297 139.207 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 139.207 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 139.208 * * * * [progress]: [ 189 / 5906 ] simplifiying candidate # 139.209 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 139.209 * * [simplify]: iters left: 6 (47 enodes) 139.233 * * [simplify]: iters left: 5 (227 enodes) 139.291 * * [simplify]: Extracting #0: cost 1 inf + 0 139.291 * * [simplify]: Extracting #1: cost 3 inf + 0 139.291 * * [simplify]: Extracting #2: cost 6 inf + 0 139.291 * * [simplify]: Extracting #3: cost 54 inf + 0 139.292 * * [simplify]: Extracting #4: cost 119 inf + 0 139.292 * * [simplify]: Extracting #5: cost 173 inf + 44 139.294 * * [simplify]: Extracting #6: cost 247 inf + 1193 139.297 * * [simplify]: Extracting #7: cost 236 inf + 3468 139.302 * * [simplify]: Extracting #8: cost 167 inf + 16169 139.314 * * [simplify]: Extracting #9: cost 110 inf + 36036 139.335 * * [simplify]: Extracting #10: cost 50 inf + 62450 139.369 * * [simplify]: Extracting #11: cost 14 inf + 92126 139.405 * * [simplify]: Extracting #12: cost 1 inf + 107491 139.433 * * [simplify]: Extracting #13: cost 0 inf + 109356 139.476 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 139.476 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 139.478 * * * * [progress]: [ 190 / 5906 ] simplifiying candidate # 139.478 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 139.479 * * [simplify]: iters left: 6 (52 enodes) 139.495 * * [simplify]: iters left: 5 (255 enodes) 139.561 * * [simplify]: Extracting #0: cost 1 inf + 0 139.561 * * [simplify]: Extracting #1: cost 3 inf + 0 139.561 * * [simplify]: Extracting #2: cost 10 inf + 0 139.561 * * [simplify]: Extracting #3: cost 74 inf + 0 139.562 * * [simplify]: Extracting #4: cost 137 inf + 1 139.563 * * [simplify]: Extracting #5: cost 195 inf + 207 139.565 * * [simplify]: Extracting #6: cost 265 inf + 3171 139.568 * * [simplify]: Extracting #7: cost 250 inf + 7096 139.576 * * [simplify]: Extracting #8: cost 170 inf + 24260 139.591 * * [simplify]: Extracting #9: cost 106 inf + 45963 139.614 * * [simplify]: Extracting #10: cost 44 inf + 76987 139.635 * * [simplify]: Extracting #11: cost 9 inf + 115782 139.676 * * [simplify]: Extracting #12: cost 0 inf + 125687 139.703 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) 139.703 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 139.704 * * * * [progress]: [ 191 / 5906 ] simplifiying candidate # 139.705 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 139.705 * * [simplify]: iters left: 6 (47 enodes) 139.729 * * [simplify]: iters left: 5 (227 enodes) 139.822 * * [simplify]: Extracting #0: cost 1 inf + 0 139.822 * * [simplify]: Extracting #1: cost 3 inf + 0 139.822 * * [simplify]: Extracting #2: cost 10 inf + 0 139.823 * * [simplify]: Extracting #3: cost 66 inf + 0 139.823 * * [simplify]: Extracting #4: cost 117 inf + 44 139.824 * * [simplify]: Extracting #5: cost 157 inf + 1228 139.826 * * [simplify]: Extracting #6: cost 234 inf + 2932 139.828 * * [simplify]: Extracting #7: cost 234 inf + 3667 139.834 * * [simplify]: Extracting #8: cost 156 inf + 21574 139.853 * * [simplify]: Extracting #9: cost 57 inf + 62294 139.869 * * [simplify]: Extracting #10: cost 15 inf + 87737 139.889 * * [simplify]: Extracting #11: cost 3 inf + 96691 139.929 * * [simplify]: Extracting #12: cost 1 inf + 100221 139.971 * * [simplify]: Extracting #13: cost 0 inf + 102006 140.001 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) 140.002 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 140.002 * * * * [progress]: [ 192 / 5906 ] simplifiying candidate # 140.002 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 140.003 * * [simplify]: iters left: 6 (52 enodes) 140.016 * * [simplify]: iters left: 5 (255 enodes) 140.118 * * [simplify]: Extracting #0: cost 1 inf + 0 140.118 * * [simplify]: Extracting #1: cost 3 inf + 0 140.118 * * [simplify]: Extracting #2: cost 10 inf + 0 140.118 * * [simplify]: Extracting #3: cost 74 inf + 0 140.119 * * [simplify]: Extracting #4: cost 137 inf + 1 140.120 * * [simplify]: Extracting #5: cost 195 inf + 207 140.122 * * [simplify]: Extracting #6: cost 271 inf + 1799 140.125 * * [simplify]: Extracting #7: cost 253 inf + 6250 140.132 * * [simplify]: Extracting #8: cost 172 inf + 23947 140.147 * * [simplify]: Extracting #9: cost 105 inf + 46707 140.173 * * [simplify]: Extracting #10: cost 42 inf + 78637 140.211 * * [simplify]: Extracting #11: cost 10 inf + 114677 140.262 * * [simplify]: Extracting #12: cost 0 inf + 126647 140.288 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) 140.288 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 140.289 * * * * [progress]: [ 193 / 5906 ] simplifiying candidate # 140.289 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 140.289 * * [simplify]: iters left: 6 (47 enodes) 140.305 * * [simplify]: iters left: 5 (227 enodes) 140.399 * * [simplify]: Extracting #0: cost 1 inf + 0 140.399 * * [simplify]: Extracting #1: cost 3 inf + 0 140.399 * * [simplify]: Extracting #2: cost 10 inf + 0 140.399 * * [simplify]: Extracting #3: cost 65 inf + 0 140.400 * * [simplify]: Extracting #4: cost 117 inf + 44 140.401 * * [simplify]: Extracting #5: cost 162 inf + 618 140.403 * * [simplify]: Extracting #6: cost 235 inf + 2770 140.405 * * [simplify]: Extracting #7: cost 235 inf + 3586 140.412 * * [simplify]: Extracting #8: cost 153 inf + 22403 140.430 * * [simplify]: Extracting #9: cost 65 inf + 57199 140.457 * * [simplify]: Extracting #10: cost 15 inf + 87857 140.476 * * [simplify]: Extracting #11: cost 3 inf + 98091 140.512 * * [simplify]: Extracting #12: cost 1 inf + 101701 140.563 * * [simplify]: Extracting #13: cost 0 inf + 103526 140.604 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))))))) 140.604 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 140.605 * * * * [progress]: [ 194 / 5906 ] simplifiying candidate # 140.605 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 140.606 * * [simplify]: iters left: 6 (52 enodes) 140.633 * * [simplify]: iters left: 5 (254 enodes) 140.741 * * [simplify]: Extracting #0: cost 1 inf + 0 140.741 * * [simplify]: Extracting #1: cost 3 inf + 0 140.741 * * [simplify]: Extracting #2: cost 6 inf + 0 140.741 * * [simplify]: Extracting #3: cost 56 inf + 0 140.742 * * [simplify]: Extracting #4: cost 130 inf + 0 140.742 * * [simplify]: Extracting #5: cost 212 inf + 0 140.743 * * [simplify]: Extracting #6: cost 295 inf + 972 140.745 * * [simplify]: Extracting #7: cost 249 inf + 11495 140.749 * * [simplify]: Extracting #8: cost 164 inf + 27102 140.756 * * [simplify]: Extracting #9: cost 105 inf + 47794 140.770 * * [simplify]: Extracting #10: cost 45 inf + 77373 140.803 * * [simplify]: Extracting #11: cost 14 inf + 113308 140.847 * * [simplify]: Extracting #12: cost 1 inf + 129873 140.888 * * [simplify]: Extracting #13: cost 0 inf + 131978 140.915 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 140.915 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 140.916 * * * * [progress]: [ 195 / 5906 ] simplifiying candidate # 140.917 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 140.917 * * [simplify]: iters left: 6 (53 enodes) 140.935 * * [simplify]: iters left: 5 (263 enodes) 141.019 * * [simplify]: Extracting #0: cost 1 inf + 0 141.019 * * [simplify]: Extracting #1: cost 3 inf + 0 141.019 * * [simplify]: Extracting #2: cost 6 inf + 0 141.019 * * [simplify]: Extracting #3: cost 60 inf + 0 141.020 * * [simplify]: Extracting #4: cost 153 inf + 0 141.021 * * [simplify]: Extracting #5: cost 226 inf + 44 141.023 * * [simplify]: Extracting #6: cost 279 inf + 4000 141.029 * * [simplify]: Extracting #7: cost 234 inf + 15040 141.039 * * [simplify]: Extracting #8: cost 163 inf + 30890 141.051 * * [simplify]: Extracting #9: cost 100 inf + 53861 141.067 * * [simplify]: Extracting #10: cost 52 inf + 77015 141.095 * * [simplify]: Extracting #11: cost 14 inf + 114605 141.125 * * [simplify]: Extracting #12: cost 0 inf + 133155 141.173 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 141.173 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 141.175 * * * * [progress]: [ 196 / 5906 ] simplifiying candidate # 141.175 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 141.176 * * [simplify]: iters left: 6 (53 enodes) 141.205 * * [simplify]: iters left: 5 (263 enodes) 141.296 * * [simplify]: Extracting #0: cost 1 inf + 0 141.296 * * [simplify]: Extracting #1: cost 3 inf + 0 141.296 * * [simplify]: Extracting #2: cost 6 inf + 0 141.296 * * [simplify]: Extracting #3: cost 62 inf + 0 141.296 * * [simplify]: Extracting #4: cost 151 inf + 0 141.297 * * [simplify]: Extracting #5: cost 222 inf + 44 141.298 * * [simplify]: Extracting #6: cost 274 inf + 4121 141.302 * * [simplify]: Extracting #7: cost 226 inf + 17202 141.311 * * [simplify]: Extracting #8: cost 171 inf + 28244 141.333 * * [simplify]: Extracting #9: cost 99 inf + 57100 141.349 * * [simplify]: Extracting #10: cost 45 inf + 81262 141.376 * * [simplify]: Extracting #11: cost 13 inf + 113822 141.426 * * [simplify]: Extracting #12: cost 0 inf + 129507 141.477 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 141.477 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 141.478 * * * * [progress]: [ 197 / 5906 ] simplifiying candidate # 141.479 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 141.479 * * [simplify]: iters left: 6 (47 enodes) 141.499 * * [simplify]: iters left: 5 (227 enodes) 141.549 * * [simplify]: Extracting #0: cost 1 inf + 0 141.549 * * [simplify]: Extracting #1: cost 3 inf + 0 141.549 * * [simplify]: Extracting #2: cost 6 inf + 0 141.549 * * [simplify]: Extracting #3: cost 54 inf + 0 141.549 * * [simplify]: Extracting #4: cost 119 inf + 0 141.550 * * [simplify]: Extracting #5: cost 170 inf + 44 141.550 * * [simplify]: Extracting #6: cost 240 inf + 1319 141.552 * * [simplify]: Extracting #7: cost 224 inf + 5019 141.555 * * [simplify]: Extracting #8: cost 152 inf + 20616 141.565 * * [simplify]: Extracting #9: cost 98 inf + 41919 141.583 * * [simplify]: Extracting #10: cost 47 inf + 63297 141.617 * * [simplify]: Extracting #11: cost 11 inf + 93971 141.659 * * [simplify]: Extracting #12: cost 1 inf + 106781 141.702 * * [simplify]: Extracting #13: cost 0 inf + 108686 141.746 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 141.747 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 141.748 * * * * [progress]: [ 198 / 5906 ] simplifiying candidate # 141.748 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 141.749 * * [simplify]: iters left: 6 (52 enodes) 141.775 * * [simplify]: iters left: 5 (255 enodes) 141.831 * * [simplify]: Extracting #0: cost 1 inf + 0 141.831 * * [simplify]: Extracting #1: cost 3 inf + 0 141.831 * * [simplify]: Extracting #2: cost 10 inf + 0 141.831 * * [simplify]: Extracting #3: cost 74 inf + 0 141.831 * * [simplify]: Extracting #4: cost 137 inf + 1 141.832 * * [simplify]: Extracting #5: cost 192 inf + 207 141.833 * * [simplify]: Extracting #6: cost 253 inf + 4111 141.835 * * [simplify]: Extracting #7: cost 232 inf + 9863 141.841 * * [simplify]: Extracting #8: cost 163 inf + 24887 141.848 * * [simplify]: Extracting #9: cost 104 inf + 47001 141.864 * * [simplify]: Extracting #10: cost 38 inf + 81829 141.892 * * [simplify]: Extracting #11: cost 3 inf + 117302 141.925 * * [simplify]: Extracting #12: cost 0 inf + 123337 141.951 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 141.951 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 141.952 * * * * [progress]: [ 199 / 5906 ] simplifiying candidate # 141.953 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 141.953 * * [simplify]: iters left: 6 (47 enodes) 141.971 * * [simplify]: iters left: 5 (227 enodes) 142.030 * * [simplify]: Extracting #0: cost 1 inf + 0 142.030 * * [simplify]: Extracting #1: cost 3 inf + 0 142.030 * * [simplify]: Extracting #2: cost 10 inf + 0 142.031 * * [simplify]: Extracting #3: cost 66 inf + 0 142.031 * * [simplify]: Extracting #4: cost 117 inf + 44 142.031 * * [simplify]: Extracting #5: cost 154 inf + 1228 142.033 * * [simplify]: Extracting #6: cost 228 inf + 2976 142.034 * * [simplify]: Extracting #7: cost 226 inf + 4567 142.038 * * [simplify]: Extracting #8: cost 125 inf + 29008 142.051 * * [simplify]: Extracting #9: cost 53 inf + 60807 142.074 * * [simplify]: Extracting #10: cost 13 inf + 87731 142.111 * * [simplify]: Extracting #11: cost 3 inf + 97821 142.140 * * [simplify]: Extracting #12: cost 1 inf + 101431 142.165 * * [simplify]: Extracting #13: cost 0 inf + 103256 142.208 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) 142.208 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 142.209 * * * * [progress]: [ 200 / 5906 ] simplifiying candidate # 142.210 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 142.210 * * [simplify]: iters left: 6 (52 enodes) 142.234 * * [simplify]: iters left: 5 (255 enodes) 142.306 * * [simplify]: Extracting #0: cost 1 inf + 0 142.306 * * [simplify]: Extracting #1: cost 3 inf + 0 142.306 * * [simplify]: Extracting #2: cost 10 inf + 0 142.307 * * [simplify]: Extracting #3: cost 74 inf + 0 142.307 * * [simplify]: Extracting #4: cost 137 inf + 1 142.308 * * [simplify]: Extracting #5: cost 192 inf + 207 142.311 * * [simplify]: Extracting #6: cost 251 inf + 4432 142.315 * * [simplify]: Extracting #7: cost 230 inf + 10347 142.323 * * [simplify]: Extracting #8: cost 164 inf + 24766 142.338 * * [simplify]: Extracting #9: cost 105 inf + 47498 142.365 * * [simplify]: Extracting #10: cost 36 inf + 83359 142.409 * * [simplify]: Extracting #11: cost 3 inf + 118262 142.459 * * [simplify]: Extracting #12: cost 0 inf + 124297 142.513 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 142.513 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 142.514 * * * * [progress]: [ 201 / 5906 ] simplifiying candidate # 142.514 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 142.515 * * [simplify]: iters left: 6 (47 enodes) 142.534 * * [simplify]: iters left: 5 (227 enodes) 142.598 * * [simplify]: Extracting #0: cost 1 inf + 0 142.598 * * [simplify]: Extracting #1: cost 3 inf + 0 142.598 * * [simplify]: Extracting #2: cost 10 inf + 0 142.599 * * [simplify]: Extracting #3: cost 65 inf + 0 142.599 * * [simplify]: Extracting #4: cost 117 inf + 44 142.600 * * [simplify]: Extracting #5: cost 159 inf + 618 142.602 * * [simplify]: Extracting #6: cost 230 inf + 2772 142.607 * * [simplify]: Extracting #7: cost 227 inf + 4527 142.615 * * [simplify]: Extracting #8: cost 138 inf + 24436 142.634 * * [simplify]: Extracting #9: cost 60 inf + 56454 142.657 * * [simplify]: Extracting #10: cost 14 inf + 86466 142.677 * * [simplify]: Extracting #11: cost 3 inf + 97261 142.710 * * [simplify]: Extracting #12: cost 1 inf + 100951 142.744 * * [simplify]: Extracting #13: cost 0 inf + 102816 142.766 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))))))) 142.766 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 142.767 * * * * [progress]: [ 202 / 5906 ] simplifiying candidate # 142.767 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 142.767 * * [simplify]: iters left: 6 (47 enodes) 142.779 * * [simplify]: iters left: 5 (229 enodes) 142.851 * * [simplify]: Extracting #0: cost 1 inf + 0 142.851 * * [simplify]: Extracting #1: cost 3 inf + 0 142.851 * * [simplify]: Extracting #2: cost 6 inf + 0 142.851 * * [simplify]: Extracting #3: cost 48 inf + 0 142.852 * * [simplify]: Extracting #4: cost 112 inf + 0 142.852 * * [simplify]: Extracting #5: cost 181 inf + 0 142.853 * * [simplify]: Extracting #6: cost 261 inf + 128 142.854 * * [simplify]: Extracting #7: cost 228 inf + 6540 142.859 * * [simplify]: Extracting #8: cost 116 inf + 31790 142.869 * * [simplify]: Extracting #9: cost 45 inf + 61660 142.888 * * [simplify]: Extracting #10: cost 7 inf + 96446 142.910 * * [simplify]: Extracting #11: cost 0 inf + 105160 142.939 * [simplify]: Simplified to (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 142.939 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 142.941 * * * * [progress]: [ 203 / 5906 ] simplifiying candidate # 142.941 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 142.942 * * [simplify]: iters left: 6 (48 enodes) 142.970 * * [simplify]: iters left: 5 (238 enodes) 143.027 * * [simplify]: Extracting #0: cost 1 inf + 0 143.027 * * [simplify]: Extracting #1: cost 3 inf + 0 143.027 * * [simplify]: Extracting #2: cost 6 inf + 0 143.027 * * [simplify]: Extracting #3: cost 52 inf + 0 143.027 * * [simplify]: Extracting #4: cost 135 inf + 0 143.028 * * [simplify]: Extracting #5: cost 190 inf + 371 143.031 * * [simplify]: Extracting #6: cost 232 inf + 4926 143.036 * * [simplify]: Extracting #7: cost 213 inf + 12633 143.042 * * [simplify]: Extracting #8: cost 172 inf + 18549 143.051 * * [simplify]: Extracting #9: cost 121 inf + 27683 143.073 * * [simplify]: Extracting #10: cost 59 inf + 56215 143.099 * * [simplify]: Extracting #11: cost 5 inf + 100172 143.121 * * [simplify]: Extracting #12: cost 0 inf + 106657 143.155 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 143.155 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 143.156 * * * * [progress]: [ 204 / 5906 ] simplifiying candidate # 143.156 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 143.156 * * [simplify]: iters left: 6 (48 enodes) 143.170 * * [simplify]: iters left: 5 (238 enodes) 143.255 * * [simplify]: Extracting #0: cost 1 inf + 0 143.255 * * [simplify]: Extracting #1: cost 3 inf + 0 143.256 * * [simplify]: Extracting #2: cost 6 inf + 0 143.256 * * [simplify]: Extracting #3: cost 54 inf + 0 143.256 * * [simplify]: Extracting #4: cost 133 inf + 0 143.258 * * [simplify]: Extracting #5: cost 187 inf + 290 143.261 * * [simplify]: Extracting #6: cost 228 inf + 5207 143.267 * * [simplify]: Extracting #7: cost 205 inf + 11506 143.278 * * [simplify]: Extracting #8: cost 125 inf + 31184 143.296 * * [simplify]: Extracting #9: cost 58 inf + 53930 143.332 * * [simplify]: Extracting #10: cost 12 inf + 91257 143.358 * * [simplify]: Extracting #11: cost 2 inf + 100759 143.387 * * [simplify]: Extracting #12: cost 0 inf + 104369 143.432 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))))) 143.432 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 143.433 * * * * [progress]: [ 205 / 5906 ] simplifiying candidate # 143.434 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 143.434 * * [simplify]: iters left: 6 (42 enodes) 143.456 * * [simplify]: iters left: 5 (203 enodes) 143.538 * * [simplify]: Extracting #0: cost 1 inf + 0 143.538 * * [simplify]: Extracting #1: cost 3 inf + 0 143.538 * * [simplify]: Extracting #2: cost 6 inf + 0 143.538 * * [simplify]: Extracting #3: cost 46 inf + 0 143.539 * * [simplify]: Extracting #4: cost 101 inf + 0 143.539 * * [simplify]: Extracting #5: cost 139 inf + 44 143.541 * * [simplify]: Extracting #6: cost 201 inf + 1275 143.543 * * [simplify]: Extracting #7: cost 193 inf + 3791 143.552 * * [simplify]: Extracting #8: cost 101 inf + 28375 143.575 * * [simplify]: Extracting #9: cost 34 inf + 61407 143.608 * * [simplify]: Extracting #10: cost 5 inf + 79932 143.640 * * [simplify]: Extracting #11: cost 0 inf + 82148 143.670 * * [simplify]: Extracting #12: cost 0 inf + 81948 143.687 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))) 143.688 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 143.688 * * * * [progress]: [ 206 / 5906 ] simplifiying candidate # 143.688 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 143.689 * * [simplify]: iters left: 6 (47 enodes) 143.701 * * [simplify]: iters left: 5 (231 enodes) 143.782 * * [simplify]: Extracting #0: cost 1 inf + 0 143.782 * * [simplify]: Extracting #1: cost 3 inf + 0 143.782 * * [simplify]: Extracting #2: cost 10 inf + 0 143.782 * * [simplify]: Extracting #3: cost 62 inf + 0 143.782 * * [simplify]: Extracting #4: cost 115 inf + 42 143.783 * * [simplify]: Extracting #5: cost 155 inf + 331 143.783 * * [simplify]: Extracting #6: cost 221 inf + 2081 143.785 * * [simplify]: Extracting #7: cost 201 inf + 9137 143.787 * * [simplify]: Extracting #8: cost 166 inf + 12921 143.792 * * [simplify]: Extracting #9: cost 92 inf + 35755 143.803 * * [simplify]: Extracting #10: cost 38 inf + 61164 143.828 * * [simplify]: Extracting #11: cost 4 inf + 88704 143.856 * * [simplify]: Extracting #12: cost 0 inf + 95244 143.876 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) 143.876 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 143.877 * * * * [progress]: [ 207 / 5906 ] simplifiying candidate # 143.877 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 143.877 * * [simplify]: iters left: 6 (42 enodes) 143.890 * * [simplify]: iters left: 5 (204 enodes) 143.953 * * [simplify]: Extracting #0: cost 1 inf + 0 143.953 * * [simplify]: Extracting #1: cost 3 inf + 0 143.953 * * [simplify]: Extracting #2: cost 10 inf + 0 143.953 * * [simplify]: Extracting #3: cost 54 inf + 0 143.954 * * [simplify]: Extracting #4: cost 95 inf + 86 143.954 * * [simplify]: Extracting #5: cost 121 inf + 1067 143.955 * * [simplify]: Extracting #6: cost 186 inf + 2932 143.956 * * [simplify]: Extracting #7: cost 194 inf + 3139 143.959 * * [simplify]: Extracting #8: cost 133 inf + 16126 143.966 * * [simplify]: Extracting #9: cost 62 inf + 41703 143.984 * * [simplify]: Extracting #10: cost 15 inf + 70626 144.003 * * [simplify]: Extracting #11: cost 0 inf + 79403 144.030 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))) 144.030 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 144.031 * * * * [progress]: [ 208 / 5906 ] simplifiying candidate # 144.032 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 144.032 * * [simplify]: iters left: 6 (47 enodes) 144.056 * * [simplify]: iters left: 5 (231 enodes) 144.128 * * [simplify]: Extracting #0: cost 1 inf + 0 144.128 * * [simplify]: Extracting #1: cost 3 inf + 0 144.128 * * [simplify]: Extracting #2: cost 10 inf + 0 144.128 * * [simplify]: Extracting #3: cost 62 inf + 0 144.128 * * [simplify]: Extracting #4: cost 115 inf + 42 144.129 * * [simplify]: Extracting #5: cost 154 inf + 494 144.130 * * [simplify]: Extracting #6: cost 213 inf + 3897 144.131 * * [simplify]: Extracting #7: cost 201 inf + 8836 144.138 * * [simplify]: Extracting #8: cost 132 inf + 23959 144.154 * * [simplify]: Extracting #9: cost 75 inf + 46212 144.177 * * [simplify]: Extracting #10: cost 32 inf + 66004 144.212 * * [simplify]: Extracting #11: cost 4 inf + 89264 144.251 * * [simplify]: Extracting #12: cost 0 inf + 95804 144.283 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) 144.283 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 144.283 * * * * [progress]: [ 209 / 5906 ] simplifiying candidate # 144.284 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 144.284 * * [simplify]: iters left: 6 (42 enodes) 144.295 * * [simplify]: iters left: 5 (204 enodes) 144.363 * * [simplify]: Extracting #0: cost 1 inf + 0 144.363 * * [simplify]: Extracting #1: cost 3 inf + 0 144.363 * * [simplify]: Extracting #2: cost 10 inf + 0 144.363 * * [simplify]: Extracting #3: cost 53 inf + 0 144.363 * * [simplify]: Extracting #4: cost 96 inf + 44 144.364 * * [simplify]: Extracting #5: cost 124 inf + 781 144.365 * * [simplify]: Extracting #6: cost 187 inf + 2770 144.366 * * [simplify]: Extracting #7: cost 194 inf + 3139 144.368 * * [simplify]: Extracting #8: cost 132 inf + 15926 144.375 * * [simplify]: Extracting #9: cost 61 inf + 41945 144.398 * * [simplify]: Extracting #10: cost 17 inf + 69739 144.422 * * [simplify]: Extracting #11: cost 0 inf + 79883 144.439 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))) 144.439 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 144.439 * * * * [progress]: [ 210 / 5906 ] simplifiying candidate # 144.440 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 144.440 * * [simplify]: iters left: 6 (51 enodes) 144.466 * * [simplify]: iters left: 5 (256 enodes) 144.542 * * [simplify]: Extracting #0: cost 1 inf + 0 144.542 * * [simplify]: Extracting #1: cost 3 inf + 0 144.542 * * [simplify]: Extracting #2: cost 6 inf + 0 144.542 * * [simplify]: Extracting #3: cost 56 inf + 0 144.543 * * [simplify]: Extracting #4: cost 130 inf + 0 144.544 * * [simplify]: Extracting #5: cost 213 inf + 0 144.545 * * [simplify]: Extracting #6: cost 309 inf + 763 144.549 * * [simplify]: Extracting #7: cost 263 inf + 10839 144.559 * * [simplify]: Extracting #8: cost 146 inf + 39040 144.583 * * [simplify]: Extracting #9: cost 63 inf + 68307 144.628 * * [simplify]: Extracting #10: cost 12 inf + 119182 144.669 * * [simplify]: Extracting #11: cost 1 inf + 135137 144.700 * * [simplify]: Extracting #12: cost 0 inf + 137322 144.729 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (* (* lambda1 lambda1) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 144.729 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (* (* lambda1 lambda1) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 144.730 * * * * [progress]: [ 211 / 5906 ] simplifiying candidate # 144.730 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 144.731 * * [simplify]: iters left: 6 (52 enodes) 144.751 * * [simplify]: iters left: 5 (265 enodes) 144.863 * * [simplify]: Extracting #0: cost 1 inf + 0 144.863 * * [simplify]: Extracting #1: cost 3 inf + 0 144.863 * * [simplify]: Extracting #2: cost 6 inf + 0 144.863 * * [simplify]: Extracting #3: cost 60 inf + 0 144.864 * * [simplify]: Extracting #4: cost 153 inf + 0 144.865 * * [simplify]: Extracting #5: cost 226 inf + 85 144.868 * * [simplify]: Extracting #6: cost 285 inf + 5125 144.873 * * [simplify]: Extracting #7: cost 256 inf + 10711 144.881 * * [simplify]: Extracting #8: cost 184 inf + 24652 144.902 * * [simplify]: Extracting #9: cost 98 inf + 57770 144.918 * * [simplify]: Extracting #10: cost 47 inf + 84044 144.952 * * [simplify]: Extracting #11: cost 9 inf + 123514 145.003 * * [simplify]: Extracting #12: cost 0 inf + 136659 145.056 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 145.056 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 145.057 * * * * [progress]: [ 212 / 5906 ] simplifiying candidate # 145.057 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 145.058 * * [simplify]: iters left: 6 (52 enodes) 145.090 * * [simplify]: iters left: 5 (265 enodes) 145.167 * * [simplify]: Extracting #0: cost 1 inf + 0 145.167 * * [simplify]: Extracting #1: cost 3 inf + 0 145.168 * * [simplify]: Extracting #2: cost 6 inf + 0 145.168 * * [simplify]: Extracting #3: cost 62 inf + 0 145.168 * * [simplify]: Extracting #4: cost 151 inf + 0 145.168 * * [simplify]: Extracting #5: cost 221 inf + 127 145.172 * * [simplify]: Extracting #6: cost 288 inf + 4112 145.175 * * [simplify]: Extracting #7: cost 249 inf + 13323 145.179 * * [simplify]: Extracting #8: cost 180 inf + 25189 145.193 * * [simplify]: Extracting #9: cost 109 inf + 48053 145.211 * * [simplify]: Extracting #10: cost 49 inf + 80788 145.234 * * [simplify]: Extracting #11: cost 12 inf + 118831 145.286 * * [simplify]: Extracting #12: cost 1 inf + 133146 145.340 * * [simplify]: Extracting #13: cost 0 inf + 135331 145.389 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (+ phi2 phi1) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) 145.389 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (+ phi2 phi1) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 145.390 * * * * [progress]: [ 213 / 5906 ] simplifiying candidate # 145.390 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 145.391 * * [simplify]: iters left: 6 (46 enodes) 145.406 * * [simplify]: iters left: 5 (229 enodes) 145.478 * * [simplify]: Extracting #0: cost 1 inf + 0 145.478 * * [simplify]: Extracting #1: cost 3 inf + 0 145.478 * * [simplify]: Extracting #2: cost 6 inf + 0 145.478 * * [simplify]: Extracting #3: cost 54 inf + 0 145.478 * * [simplify]: Extracting #4: cost 119 inf + 0 145.479 * * [simplify]: Extracting #5: cost 171 inf + 44 145.480 * * [simplify]: Extracting #6: cost 254 inf + 990 145.481 * * [simplify]: Extracting #7: cost 254 inf + 2211 145.488 * * [simplify]: Extracting #8: cost 163 inf + 20655 145.504 * * [simplify]: Extracting #9: cost 85 inf + 47574 145.524 * * [simplify]: Extracting #10: cost 16 inf + 96831 145.559 * * [simplify]: Extracting #11: cost 0 inf + 111710 145.604 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2)))) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ phi2 phi1))))) 145.604 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2)))) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 145.605 * * * * [progress]: [ 214 / 5906 ] simplifiying candidate # 145.605 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 145.605 * * [simplify]: iters left: 6 (51 enodes) 145.618 * * [simplify]: iters left: 5 (257 enodes) 145.687 * * [simplify]: Extracting #0: cost 1 inf + 0 145.687 * * [simplify]: Extracting #1: cost 3 inf + 0 145.687 * * [simplify]: Extracting #2: cost 10 inf + 0 145.688 * * [simplify]: Extracting #3: cost 74 inf + 0 145.688 * * [simplify]: Extracting #4: cost 136 inf + 42 145.689 * * [simplify]: Extracting #5: cost 192 inf + 249 145.691 * * [simplify]: Extracting #6: cost 278 inf + 1637 145.695 * * [simplify]: Extracting #7: cost 252 inf + 8682 145.701 * * [simplify]: Extracting #8: cost 177 inf + 22362 145.712 * * [simplify]: Extracting #9: cost 140 inf + 31046 145.728 * * [simplify]: Extracting #10: cost 98 inf + 51218 145.753 * * [simplify]: Extracting #11: cost 44 inf + 80621 145.778 * * [simplify]: Extracting #12: cost 5 inf + 119756 145.815 * * [simplify]: Extracting #13: cost 0 inf + 128201 145.866 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 145.866 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 145.867 * * * * [progress]: [ 215 / 5906 ] simplifiying candidate # 145.867 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 145.868 * * [simplify]: iters left: 6 (46 enodes) 145.891 * * [simplify]: iters left: 5 (229 enodes) 145.990 * * [simplify]: Extracting #0: cost 1 inf + 0 145.990 * * [simplify]: Extracting #1: cost 3 inf + 0 145.990 * * [simplify]: Extracting #2: cost 10 inf + 0 145.990 * * [simplify]: Extracting #3: cost 66 inf + 0 145.991 * * [simplify]: Extracting #4: cost 117 inf + 44 145.992 * * [simplify]: Extracting #5: cost 156 inf + 1066 145.994 * * [simplify]: Extracting #6: cost 240 inf + 2932 145.996 * * [simplify]: Extracting #7: cost 248 inf + 3139 146.004 * * [simplify]: Extracting #8: cost 154 inf + 23455 146.024 * * [simplify]: Extracting #9: cost 55 inf + 63427 146.059 * * [simplify]: Extracting #10: cost 10 inf + 96312 146.101 * * [simplify]: Extracting #11: cost 0 inf + 105920 146.143 * * [simplify]: Extracting #12: cost 0 inf + 105680 146.188 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 146.188 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 146.189 * * * * [progress]: [ 216 / 5906 ] simplifiying candidate # 146.189 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 146.190 * * [simplify]: iters left: 6 (51 enodes) 146.217 * * [simplify]: iters left: 5 (257 enodes) 146.305 * * [simplify]: Extracting #0: cost 1 inf + 0 146.305 * * [simplify]: Extracting #1: cost 3 inf + 0 146.305 * * [simplify]: Extracting #2: cost 10 inf + 0 146.306 * * [simplify]: Extracting #3: cost 74 inf + 0 146.306 * * [simplify]: Extracting #4: cost 136 inf + 42 146.306 * * [simplify]: Extracting #5: cost 193 inf + 207 146.307 * * [simplify]: Extracting #6: cost 273 inf + 3006 146.310 * * [simplify]: Extracting #7: cost 250 inf + 9748 146.317 * * [simplify]: Extracting #8: cost 178 inf + 21980 146.323 * * [simplify]: Extracting #9: cost 141 inf + 30442 146.332 * * [simplify]: Extracting #10: cost 96 inf + 52449 146.346 * * [simplify]: Extracting #11: cost 42 inf + 82311 146.368 * * [simplify]: Extracting #12: cost 5 inf + 120716 146.397 * * [simplify]: Extracting #13: cost 0 inf + 129161 146.433 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 146.433 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 146.434 * * * * [progress]: [ 217 / 5906 ] simplifiying candidate # 146.435 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 146.435 * * [simplify]: iters left: 6 (46 enodes) 146.459 * * [simplify]: iters left: 5 (229 enodes) 146.556 * * [simplify]: Extracting #0: cost 1 inf + 0 146.556 * * [simplify]: Extracting #1: cost 3 inf + 0 146.556 * * [simplify]: Extracting #2: cost 10 inf + 0 146.557 * * [simplify]: Extracting #3: cost 65 inf + 0 146.557 * * [simplify]: Extracting #4: cost 117 inf + 44 146.558 * * [simplify]: Extracting #5: cost 157 inf + 864 146.560 * * [simplify]: Extracting #6: cost 240 inf + 2932 146.562 * * [simplify]: Extracting #7: cost 248 inf + 3139 146.569 * * [simplify]: Extracting #8: cost 159 inf + 23117 146.588 * * [simplify]: Extracting #9: cost 58 inf + 61310 146.621 * * [simplify]: Extracting #10: cost 15 inf + 91705 146.664 * * [simplify]: Extracting #11: cost 0 inf + 106320 146.709 * * [simplify]: Extracting #12: cost 0 inf + 106080 146.740 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 146.740 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 146.741 * * * * [progress]: [ 218 / 5906 ] simplifiying candidate # 146.741 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 146.742 * * [simplify]: iters left: 6 (51 enodes) 146.754 * * [simplify]: iters left: 5 (256 enodes) 146.847 * * [simplify]: Extracting #0: cost 1 inf + 0 146.848 * * [simplify]: Extracting #1: cost 3 inf + 0 146.848 * * [simplify]: Extracting #2: cost 6 inf + 0 146.848 * * [simplify]: Extracting #3: cost 56 inf + 0 146.848 * * [simplify]: Extracting #4: cost 130 inf + 0 146.848 * * [simplify]: Extracting #5: cost 214 inf + 0 146.849 * * [simplify]: Extracting #6: cost 304 inf + 551 146.851 * * [simplify]: Extracting #7: cost 261 inf + 10500 146.856 * * [simplify]: Extracting #8: cost 168 inf + 28097 146.867 * * [simplify]: Extracting #9: cost 109 inf + 47801 146.892 * * [simplify]: Extracting #10: cost 49 inf + 77565 146.913 * * [simplify]: Extracting #11: cost 12 inf + 116290 146.961 * * [simplify]: Extracting #12: cost 1 inf + 131645 146.991 * * [simplify]: Extracting #13: cost 0 inf + 133750 147.018 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 147.018 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 147.019 * * * * [progress]: [ 219 / 5906 ] simplifiying candidate # 147.019 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 147.020 * * [simplify]: iters left: 6 (52 enodes) 147.041 * * [simplify]: iters left: 5 (265 enodes) 147.126 * * [simplify]: Extracting #0: cost 1 inf + 0 147.127 * * [simplify]: Extracting #1: cost 3 inf + 0 147.127 * * [simplify]: Extracting #2: cost 6 inf + 0 147.127 * * [simplify]: Extracting #3: cost 60 inf + 0 147.127 * * [simplify]: Extracting #4: cost 153 inf + 0 147.129 * * [simplify]: Extracting #5: cost 226 inf + 127 147.132 * * [simplify]: Extracting #6: cost 278 inf + 5167 147.137 * * [simplify]: Extracting #7: cost 256 inf + 10460 147.147 * * [simplify]: Extracting #8: cost 163 inf + 34333 147.170 * * [simplify]: Extracting #9: cost 66 inf + 75087 147.194 * * [simplify]: Extracting #10: cost 18 inf + 119918 147.235 * * [simplify]: Extracting #11: cost 0 inf + 136069 147.262 * * [simplify]: Extracting #12: cost 0 inf + 135647 147.295 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 147.295 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 147.296 * * * * [progress]: [ 220 / 5906 ] simplifiying candidate # 147.296 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 147.297 * * [simplify]: iters left: 6 (52 enodes) 147.313 * * [simplify]: iters left: 5 (265 enodes) 147.379 * * [simplify]: Extracting #0: cost 1 inf + 0 147.379 * * [simplify]: Extracting #1: cost 3 inf + 0 147.379 * * [simplify]: Extracting #2: cost 6 inf + 0 147.379 * * [simplify]: Extracting #3: cost 62 inf + 0 147.380 * * [simplify]: Extracting #4: cost 151 inf + 0 147.384 * * [simplify]: Extracting #5: cost 223 inf + 85 147.387 * * [simplify]: Extracting #6: cost 284 inf + 3266 147.392 * * [simplify]: Extracting #7: cost 243 inf + 13422 147.401 * * [simplify]: Extracting #8: cost 171 inf + 27179 147.419 * * [simplify]: Extracting #9: cost 105 inf + 51650 147.437 * * [simplify]: Extracting #10: cost 39 inf + 89066 147.460 * * [simplify]: Extracting #11: cost 14 inf + 116369 147.491 * * [simplify]: Extracting #12: cost 0 inf + 134799 147.539 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) 147.539 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 147.540 * * * * [progress]: [ 221 / 5906 ] simplifiying candidate # 147.540 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 147.540 * * [simplify]: iters left: 6 (46 enodes) 147.552 * * [simplify]: iters left: 5 (229 enodes) 147.611 * * [simplify]: Extracting #0: cost 1 inf + 0 147.611 * * [simplify]: Extracting #1: cost 3 inf + 0 147.611 * * [simplify]: Extracting #2: cost 6 inf + 0 147.611 * * [simplify]: Extracting #3: cost 54 inf + 0 147.611 * * [simplify]: Extracting #4: cost 119 inf + 0 147.612 * * [simplify]: Extracting #5: cost 170 inf + 208 147.614 * * [simplify]: Extracting #6: cost 248 inf + 990 147.616 * * [simplify]: Extracting #7: cost 249 inf + 2128 147.620 * * [simplify]: Extracting #8: cost 162 inf + 20212 147.628 * * [simplify]: Extracting #9: cost 85 inf + 45255 147.645 * * [simplify]: Extracting #10: cost 23 inf + 90496 147.684 * * [simplify]: Extracting #11: cost 1 inf + 108353 147.726 * * [simplify]: Extracting #12: cost 0 inf + 110058 147.771 * * [simplify]: Extracting #13: cost 0 inf + 110018 147.810 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 147.810 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 147.812 * * * * [progress]: [ 222 / 5906 ] simplifiying candidate # 147.812 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 147.813 * * [simplify]: iters left: 6 (51 enodes) 147.839 * * [simplify]: iters left: 5 (257 enodes) 147.927 * * [simplify]: Extracting #0: cost 1 inf + 0 147.927 * * [simplify]: Extracting #1: cost 3 inf + 0 147.927 * * [simplify]: Extracting #2: cost 10 inf + 0 147.928 * * [simplify]: Extracting #3: cost 74 inf + 0 147.928 * * [simplify]: Extracting #4: cost 136 inf + 42 147.929 * * [simplify]: Extracting #5: cost 193 inf + 249 147.931 * * [simplify]: Extracting #6: cost 271 inf + 1760 147.935 * * [simplify]: Extracting #7: cost 247 inf + 7869 147.942 * * [simplify]: Extracting #8: cost 171 inf + 21974 147.955 * * [simplify]: Extracting #9: cost 111 inf + 42053 147.980 * * [simplify]: Extracting #10: cost 50 inf + 75599 148.024 * * [simplify]: Extracting #11: cost 4 inf + 119129 148.072 * * [simplify]: Extracting #12: cost 0 inf + 126349 148.100 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 148.100 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 148.101 * * * * [progress]: [ 223 / 5906 ] simplifiying candidate # 148.102 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 148.102 * * [simplify]: iters left: 6 (46 enodes) 148.122 * * [simplify]: iters left: 5 (229 enodes) 148.186 * * [simplify]: Extracting #0: cost 1 inf + 0 148.186 * * [simplify]: Extracting #1: cost 3 inf + 0 148.186 * * [simplify]: Extracting #2: cost 10 inf + 0 148.187 * * [simplify]: Extracting #3: cost 66 inf + 0 148.187 * * [simplify]: Extracting #4: cost 117 inf + 44 148.187 * * [simplify]: Extracting #5: cost 162 inf + 496 148.188 * * [simplify]: Extracting #6: cost 235 inf + 2770 148.190 * * [simplify]: Extracting #7: cost 239 inf + 3422 148.192 * * [simplify]: Extracting #8: cost 175 inf + 16841 148.200 * * [simplify]: Extracting #9: cost 94 inf + 45994 148.213 * * [simplify]: Extracting #10: cost 33 inf + 75958 148.252 * * [simplify]: Extracting #11: cost 5 inf + 99503 148.290 * * [simplify]: Extracting #12: cost 0 inf + 105308 148.315 * * [simplify]: Extracting #13: cost 0 inf + 105148 148.337 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (+ phi2 phi1))))) 148.337 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 148.338 * * * * [progress]: [ 224 / 5906 ] simplifiying candidate # 148.338 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 148.338 * * [simplify]: iters left: 6 (51 enodes) 148.358 * * [simplify]: iters left: 5 (257 enodes) 148.428 * * [simplify]: Extracting #0: cost 1 inf + 0 148.428 * * [simplify]: Extracting #1: cost 3 inf + 0 148.428 * * [simplify]: Extracting #2: cost 10 inf + 0 148.428 * * [simplify]: Extracting #3: cost 74 inf + 0 148.428 * * [simplify]: Extracting #4: cost 136 inf + 42 148.429 * * [simplify]: Extracting #5: cost 193 inf + 248 148.430 * * [simplify]: Extracting #6: cost 268 inf + 2444 148.432 * * [simplify]: Extracting #7: cost 243 inf + 8897 148.436 * * [simplify]: Extracting #8: cost 172 inf + 21591 148.442 * * [simplify]: Extracting #9: cost 112 inf + 41708 148.464 * * [simplify]: Extracting #10: cost 47 inf + 78592 148.493 * * [simplify]: Extracting #11: cost 4 inf + 120089 148.529 * * [simplify]: Extracting #12: cost 0 inf + 127309 148.559 * [simplify]: Simplified to (sqrt (+ (* (- phi1 phi2) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 148.559 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- phi1 phi2) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 148.560 * * * * [progress]: [ 225 / 5906 ] simplifiying candidate # 148.560 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 148.561 * * [simplify]: iters left: 6 (46 enodes) 148.585 * * [simplify]: iters left: 5 (229 enodes) 148.656 * * [simplify]: Extracting #0: cost 1 inf + 0 148.656 * * [simplify]: Extracting #1: cost 3 inf + 0 148.656 * * [simplify]: Extracting #2: cost 10 inf + 0 148.657 * * [simplify]: Extracting #3: cost 65 inf + 0 148.657 * * [simplify]: Extracting #4: cost 117 inf + 44 148.658 * * [simplify]: Extracting #5: cost 158 inf + 904 148.660 * * [simplify]: Extracting #6: cost 234 inf + 2932 148.663 * * [simplify]: Extracting #7: cost 241 inf + 3300 148.669 * * [simplify]: Extracting #8: cost 174 inf + 16641 148.676 * * [simplify]: Extracting #9: cost 97 inf + 44984 148.689 * * [simplify]: Extracting #10: cost 34 inf + 75853 148.724 * * [simplify]: Extracting #11: cost 5 inf + 99903 148.770 * * [simplify]: Extracting #12: cost 0 inf + 105708 148.809 * * [simplify]: Extracting #13: cost 0 inf + 105548 148.833 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (+ phi2 phi1))))) 148.833 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 148.834 * * * * [progress]: [ 226 / 5906 ] simplifiying candidate # 148.835 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 148.835 * * [simplify]: iters left: 6 (47 enodes) 148.854 * * [simplify]: iters left: 5 (233 enodes) 148.923 * * [simplify]: Extracting #0: cost 1 inf + 0 148.923 * * [simplify]: Extracting #1: cost 3 inf + 0 148.923 * * [simplify]: Extracting #2: cost 6 inf + 0 148.923 * * [simplify]: Extracting #3: cost 54 inf + 0 148.924 * * [simplify]: Extracting #4: cost 120 inf + 0 148.925 * * [simplify]: Extracting #5: cost 189 inf + 0 148.926 * * [simplify]: Extracting #6: cost 265 inf + 805 148.930 * * [simplify]: Extracting #7: cost 218 inf + 13894 148.937 * * [simplify]: Extracting #8: cost 158 inf + 22738 148.951 * * [simplify]: Extracting #9: cost 90 inf + 45626 148.971 * * [simplify]: Extracting #10: cost 54 inf + 59204 148.996 * * [simplify]: Extracting #11: cost 31 inf + 73979 149.015 * * [simplify]: Extracting #12: cost 7 inf + 98619 149.048 * * [simplify]: Extracting #13: cost 0 inf + 107594 149.087 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) 149.087 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 149.088 * * * * [progress]: [ 227 / 5906 ] simplifiying candidate # 149.089 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 149.090 * * [simplify]: iters left: 6 (48 enodes) 149.108 * * [simplify]: iters left: 5 (242 enodes) 149.174 * * [simplify]: Extracting #0: cost 1 inf + 0 149.175 * * [simplify]: Extracting #1: cost 3 inf + 0 149.175 * * [simplify]: Extracting #2: cost 6 inf + 0 149.175 * * [simplify]: Extracting #3: cost 58 inf + 0 149.175 * * [simplify]: Extracting #4: cost 143 inf + 0 149.176 * * [simplify]: Extracting #5: cost 198 inf + 371 149.179 * * [simplify]: Extracting #6: cost 237 inf + 5572 149.184 * * [simplify]: Extracting #7: cost 215 inf + 13555 149.191 * * [simplify]: Extracting #8: cost 160 inf + 24574 149.205 * * [simplify]: Extracting #9: cost 83 inf + 45053 149.221 * * [simplify]: Extracting #10: cost 62 inf + 55366 149.253 * * [simplify]: Extracting #11: cost 12 inf + 94001 149.294 * * [simplify]: Extracting #12: cost 2 inf + 103121 149.315 * * [simplify]: Extracting #13: cost 0 inf + 106651 149.346 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 149.346 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 149.347 * * * * [progress]: [ 228 / 5906 ] simplifiying candidate # 149.348 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 149.348 * * [simplify]: iters left: 6 (48 enodes) 149.373 * * [simplify]: iters left: 5 (242 enodes) 149.440 * * [simplify]: Extracting #0: cost 1 inf + 0 149.441 * * [simplify]: Extracting #1: cost 3 inf + 0 149.441 * * [simplify]: Extracting #2: cost 6 inf + 0 149.441 * * [simplify]: Extracting #3: cost 60 inf + 0 149.441 * * [simplify]: Extracting #4: cost 141 inf + 0 149.442 * * [simplify]: Extracting #5: cost 195 inf + 290 149.445 * * [simplify]: Extracting #6: cost 230 inf + 6980 149.450 * * [simplify]: Extracting #7: cost 219 inf + 11727 149.457 * * [simplify]: Extracting #8: cost 174 inf + 20029 149.468 * * [simplify]: Extracting #9: cost 116 inf + 33733 149.487 * * [simplify]: Extracting #10: cost 60 inf + 55540 149.510 * * [simplify]: Extracting #11: cost 36 inf + 70204 149.546 * * [simplify]: Extracting #12: cost 2 inf + 100793 149.567 * * [simplify]: Extracting #13: cost 0 inf + 104323 149.587 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 149.588 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 149.588 * * * * [progress]: [ 229 / 5906 ] simplifiying candidate # 149.588 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 149.589 * * [simplify]: iters left: 6 (42 enodes) 149.602 * * [simplify]: iters left: 5 (206 enodes) 149.690 * * [simplify]: Extracting #0: cost 1 inf + 0 149.690 * * [simplify]: Extracting #1: cost 3 inf + 0 149.690 * * [simplify]: Extracting #2: cost 6 inf + 0 149.690 * * [simplify]: Extracting #3: cost 52 inf + 0 149.690 * * [simplify]: Extracting #4: cost 109 inf + 0 149.690 * * [simplify]: Extracting #5: cost 147 inf + 44 149.691 * * [simplify]: Extracting #6: cost 211 inf + 1152 149.692 * * [simplify]: Extracting #7: cost 203 inf + 3429 149.697 * * [simplify]: Extracting #8: cost 115 inf + 26474 149.712 * * [simplify]: Extracting #9: cost 28 inf + 70801 149.730 * * [simplify]: Extracting #10: cost 0 inf + 84982 149.748 * * [simplify]: Extracting #11: cost 0 inf + 84022 149.778 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 149.778 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 149.780 * * * * [progress]: [ 230 / 5906 ] simplifiying candidate # 149.781 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 149.781 * * [simplify]: iters left: 6 (47 enodes) 149.808 * * [simplify]: iters left: 5 (234 enodes) 149.901 * * [simplify]: Extracting #0: cost 1 inf + 0 149.901 * * [simplify]: Extracting #1: cost 3 inf + 0 149.901 * * [simplify]: Extracting #2: cost 10 inf + 0 149.901 * * [simplify]: Extracting #3: cost 72 inf + 0 149.902 * * [simplify]: Extracting #4: cost 126 inf + 42 149.903 * * [simplify]: Extracting #5: cost 167 inf + 290 149.905 * * [simplify]: Extracting #6: cost 230 inf + 2565 149.908 * * [simplify]: Extracting #7: cost 215 inf + 8169 149.917 * * [simplify]: Extracting #8: cost 116 inf + 34340 149.933 * * [simplify]: Extracting #9: cost 39 inf + 64868 149.952 * * [simplify]: Extracting #10: cost 3 inf + 95838 149.972 * * [simplify]: Extracting #11: cost 0 inf + 98993 149.994 * * [simplify]: Extracting #12: cost 0 inf + 98873 150.017 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 150.017 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 150.018 * * * * [progress]: [ 231 / 5906 ] simplifiying candidate # 150.019 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 150.019 * * [simplify]: iters left: 6 (42 enodes) 150.042 * * [simplify]: iters left: 5 (206 enodes) 150.126 * * [simplify]: Extracting #0: cost 1 inf + 0 150.126 * * [simplify]: Extracting #1: cost 3 inf + 0 150.126 * * [simplify]: Extracting #2: cost 10 inf + 0 150.126 * * [simplify]: Extracting #3: cost 64 inf + 0 150.127 * * [simplify]: Extracting #4: cost 106 inf + 86 150.128 * * [simplify]: Extracting #5: cost 131 inf + 1229 150.130 * * [simplify]: Extracting #6: cost 198 inf + 2770 150.132 * * [simplify]: Extracting #7: cost 204 inf + 3141 150.137 * * [simplify]: Extracting #8: cost 147 inf + 15752 150.157 * * [simplify]: Extracting #9: cost 60 inf + 48670 150.183 * * [simplify]: Extracting #10: cost 10 inf + 77086 150.203 * * [simplify]: Extracting #11: cost 0 inf + 83072 150.235 * * [simplify]: Extracting #12: cost 0 inf + 83032 150.254 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (+ phi2 phi1))))) 150.254 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 150.255 * * * * [progress]: [ 232 / 5906 ] simplifiying candidate # 150.255 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 150.255 * * [simplify]: iters left: 6 (47 enodes) 150.267 * * [simplify]: iters left: 5 (234 enodes) 150.364 * * [simplify]: Extracting #0: cost 1 inf + 0 150.365 * * [simplify]: Extracting #1: cost 3 inf + 0 150.365 * * [simplify]: Extracting #2: cost 10 inf + 0 150.365 * * [simplify]: Extracting #3: cost 72 inf + 0 150.365 * * [simplify]: Extracting #4: cost 126 inf + 42 150.366 * * [simplify]: Extracting #5: cost 166 inf + 332 150.368 * * [simplify]: Extracting #6: cost 226 inf + 3414 150.371 * * [simplify]: Extracting #7: cost 215 inf + 8169 150.381 * * [simplify]: Extracting #8: cost 113 inf + 36673 150.398 * * [simplify]: Extracting #9: cost 18 inf + 86313 150.423 * * [simplify]: Extracting #10: cost 0 inf + 100513 150.461 * * [simplify]: Extracting #11: cost 0 inf + 99833 150.488 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 150.488 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 150.489 * * * * [progress]: [ 233 / 5906 ] simplifiying candidate # 150.489 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 150.490 * * [simplify]: iters left: 6 (42 enodes) 150.501 * * [simplify]: iters left: 5 (206 enodes) 150.569 * * [simplify]: Extracting #0: cost 1 inf + 0 150.569 * * [simplify]: Extracting #1: cost 3 inf + 0 150.569 * * [simplify]: Extracting #2: cost 10 inf + 0 150.569 * * [simplify]: Extracting #3: cost 63 inf + 0 150.570 * * [simplify]: Extracting #4: cost 107 inf + 44 150.570 * * [simplify]: Extracting #5: cost 135 inf + 781 150.573 * * [simplify]: Extracting #6: cost 198 inf + 2770 150.574 * * [simplify]: Extracting #7: cost 204 inf + 3141 150.577 * * [simplify]: Extracting #8: cost 148 inf + 15711 150.586 * * [simplify]: Extracting #9: cost 60 inf + 48830 150.612 * * [simplify]: Extracting #10: cost 10 inf + 77606 150.644 * * [simplify]: Extracting #11: cost 0 inf + 83632 150.667 * * [simplify]: Extracting #12: cost 0 inf + 83592 150.692 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (+ phi2 phi1))))) 150.692 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 150.693 * * * * [progress]: [ 234 / 5906 ] simplifiying candidate # 150.693 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 150.694 * * [simplify]: iters left: 6 (52 enodes) 150.717 * * [simplify]: iters left: 5 (254 enodes) 150.797 * * [simplify]: Extracting #0: cost 1 inf + 0 150.797 * * [simplify]: Extracting #1: cost 3 inf + 0 150.797 * * [simplify]: Extracting #2: cost 6 inf + 0 150.797 * * [simplify]: Extracting #3: cost 56 inf + 0 150.797 * * [simplify]: Extracting #4: cost 130 inf + 0 150.798 * * [simplify]: Extracting #5: cost 208 inf + 0 150.799 * * [simplify]: Extracting #6: cost 299 inf + 721 150.801 * * [simplify]: Extracting #7: cost 244 inf + 12178 150.806 * * [simplify]: Extracting #8: cost 144 inf + 35180 150.820 * * [simplify]: Extracting #9: cost 64 inf + 62931 150.834 * * [simplify]: Extracting #10: cost 39 inf + 80913 150.872 * * [simplify]: Extracting #11: cost 10 inf + 113855 150.902 * * [simplify]: Extracting #12: cost 0 inf + 126625 150.943 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 150.943 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 150.944 * * * * [progress]: [ 235 / 5906 ] simplifiying candidate # 150.944 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 150.944 * * [simplify]: iters left: 6 (53 enodes) 150.960 * * [simplify]: iters left: 5 (263 enodes) 151.032 * * [simplify]: Extracting #0: cost 1 inf + 0 151.032 * * [simplify]: Extracting #1: cost 3 inf + 0 151.032 * * [simplify]: Extracting #2: cost 6 inf + 0 151.032 * * [simplify]: Extracting #3: cost 60 inf + 0 151.033 * * [simplify]: Extracting #4: cost 153 inf + 0 151.033 * * [simplify]: Extracting #5: cost 222 inf + 44 151.034 * * [simplify]: Extracting #6: cost 275 inf + 4801 151.040 * * [simplify]: Extracting #7: cost 241 inf + 12454 151.047 * * [simplify]: Extracting #8: cost 157 inf + 32085 151.066 * * [simplify]: Extracting #9: cost 67 inf + 64414 151.095 * * [simplify]: Extracting #10: cost 11 inf + 116628 151.131 * * [simplify]: Extracting #11: cost 0 inf + 131042 151.182 * * [simplify]: Extracting #12: cost 0 inf + 130762 151.225 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 151.225 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 151.226 * * * * [progress]: [ 236 / 5906 ] simplifiying candidate # 151.226 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 151.227 * * [simplify]: iters left: 6 (53 enodes) 151.240 * * [simplify]: iters left: 5 (263 enodes) 151.307 * * [simplify]: Extracting #0: cost 1 inf + 0 151.307 * * [simplify]: Extracting #1: cost 3 inf + 0 151.307 * * [simplify]: Extracting #2: cost 6 inf + 0 151.307 * * [simplify]: Extracting #3: cost 62 inf + 0 151.307 * * [simplify]: Extracting #4: cost 151 inf + 0 151.308 * * [simplify]: Extracting #5: cost 218 inf + 44 151.310 * * [simplify]: Extracting #6: cost 275 inf + 4312 151.312 * * [simplify]: Extracting #7: cost 244 inf + 11721 151.317 * * [simplify]: Extracting #8: cost 169 inf + 28600 151.331 * * [simplify]: Extracting #9: cost 66 inf + 65267 151.352 * * [simplify]: Extracting #10: cost 36 inf + 85734 151.375 * * [simplify]: Extracting #11: cost 9 inf + 118449 151.416 * * [simplify]: Extracting #12: cost 0 inf + 130154 151.442 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 151.443 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 151.443 * * * * [progress]: [ 237 / 5906 ] simplifiying candidate # 151.443 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 151.444 * * [simplify]: iters left: 6 (47 enodes) 151.463 * * [simplify]: iters left: 5 (227 enodes) 151.528 * * [simplify]: Extracting #0: cost 1 inf + 0 151.528 * * [simplify]: Extracting #1: cost 3 inf + 0 151.528 * * [simplify]: Extracting #2: cost 6 inf + 0 151.529 * * [simplify]: Extracting #3: cost 54 inf + 0 151.529 * * [simplify]: Extracting #4: cost 119 inf + 0 151.530 * * [simplify]: Extracting #5: cost 166 inf + 44 151.532 * * [simplify]: Extracting #6: cost 238 inf + 1518 151.534 * * [simplify]: Extracting #7: cost 231 inf + 3466 151.541 * * [simplify]: Extracting #8: cost 146 inf + 23182 151.560 * * [simplify]: Extracting #9: cost 57 inf + 55451 151.585 * * [simplify]: Extracting #10: cost 28 inf + 75219 151.621 * * [simplify]: Extracting #11: cost 5 inf + 98168 151.646 * * [simplify]: Extracting #12: cost 1 inf + 103948 151.671 * * [simplify]: Extracting #13: cost 0 inf + 105773 151.693 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 151.693 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 151.694 * * * * [progress]: [ 238 / 5906 ] simplifiying candidate # 151.694 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 151.694 * * [simplify]: iters left: 6 (52 enodes) 151.707 * * [simplify]: iters left: 5 (255 enodes) 151.763 * * [simplify]: Extracting #0: cost 1 inf + 0 151.763 * * [simplify]: Extracting #1: cost 3 inf + 0 151.763 * * [simplify]: Extracting #2: cost 10 inf + 0 151.763 * * [simplify]: Extracting #3: cost 74 inf + 0 151.764 * * [simplify]: Extracting #4: cost 137 inf + 1 151.764 * * [simplify]: Extracting #5: cost 187 inf + 248 151.765 * * [simplify]: Extracting #6: cost 267 inf + 1717 151.767 * * [simplify]: Extracting #7: cost 242 inf + 7381 151.770 * * [simplify]: Extracting #8: cost 166 inf + 25406 151.779 * * [simplify]: Extracting #9: cost 97 inf + 49944 151.797 * * [simplify]: Extracting #10: cost 48 inf + 71464 151.836 * * [simplify]: Extracting #11: cost 7 inf + 111489 151.886 * * [simplify]: Extracting #12: cost 0 inf + 121264 151.934 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))))))))) 151.934 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 151.935 * * * * [progress]: [ 239 / 5906 ] simplifiying candidate # 151.935 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 151.936 * * [simplify]: iters left: 6 (47 enodes) 151.959 * * [simplify]: iters left: 5 (227 enodes) 152.049 * * [simplify]: Extracting #0: cost 1 inf + 0 152.049 * * [simplify]: Extracting #1: cost 3 inf + 0 152.049 * * [simplify]: Extracting #2: cost 10 inf + 0 152.049 * * [simplify]: Extracting #3: cost 66 inf + 0 152.050 * * [simplify]: Extracting #4: cost 117 inf + 44 152.051 * * [simplify]: Extracting #5: cost 151 inf + 1106 152.053 * * [simplify]: Extracting #6: cost 228 inf + 2932 152.055 * * [simplify]: Extracting #7: cost 230 inf + 3343 152.060 * * [simplify]: Extracting #8: cost 191 inf + 9783 152.070 * * [simplify]: Extracting #9: cost 116 inf + 32611 152.095 * * [simplify]: Extracting #10: cost 22 inf + 81504 152.131 * * [simplify]: Extracting #11: cost 3 inf + 97108 152.168 * * [simplify]: Extracting #12: cost 1 inf + 99758 152.209 * * [simplify]: Extracting #13: cost 0 inf + 101543 152.231 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) 152.231 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 152.232 * * * * [progress]: [ 240 / 5906 ] simplifiying candidate # 152.232 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 152.232 * * [simplify]: iters left: 6 (52 enodes) 152.245 * * [simplify]: iters left: 5 (255 enodes) 152.320 * * [simplify]: Extracting #0: cost 1 inf + 0 152.320 * * [simplify]: Extracting #1: cost 3 inf + 0 152.320 * * [simplify]: Extracting #2: cost 10 inf + 0 152.321 * * [simplify]: Extracting #3: cost 74 inf + 0 152.321 * * [simplify]: Extracting #4: cost 137 inf + 1 152.322 * * [simplify]: Extracting #5: cost 187 inf + 248 152.324 * * [simplify]: Extracting #6: cost 269 inf + 1272 152.327 * * [simplify]: Extracting #7: cost 251 inf + 5403 152.335 * * [simplify]: Extracting #8: cost 171 inf + 25006 152.351 * * [simplify]: Extracting #9: cost 94 inf + 51618 152.374 * * [simplify]: Extracting #10: cost 48 inf + 72424 152.412 * * [simplify]: Extracting #11: cost 8 inf + 111344 152.461 * * [simplify]: Extracting #12: cost 0 inf + 122224 152.511 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))))))))) 152.511 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 152.512 * * * * [progress]: [ 241 / 5906 ] simplifiying candidate # 152.513 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 152.513 * * [simplify]: iters left: 6 (47 enodes) 152.537 * * [simplify]: iters left: 5 (227 enodes) 152.620 * * [simplify]: Extracting #0: cost 1 inf + 0 152.620 * * [simplify]: Extracting #1: cost 3 inf + 0 152.620 * * [simplify]: Extracting #2: cost 10 inf + 0 152.621 * * [simplify]: Extracting #3: cost 65 inf + 0 152.621 * * [simplify]: Extracting #4: cost 117 inf + 44 152.621 * * [simplify]: Extracting #5: cost 156 inf + 496 152.622 * * [simplify]: Extracting #6: cost 229 inf + 2770 152.623 * * [simplify]: Extracting #7: cost 231 inf + 3302 152.626 * * [simplify]: Extracting #8: cost 178 inf + 13526 152.632 * * [simplify]: Extracting #9: cost 86 inf + 42994 152.648 * * [simplify]: Extracting #10: cost 34 inf + 71642 152.681 * * [simplify]: Extracting #11: cost 4 inf + 96643 152.718 * * [simplify]: Extracting #12: cost 1 inf + 100878 152.739 * * [simplify]: Extracting #13: cost 0 inf + 102663 152.773 * * [simplify]: Extracting #14: cost 0 inf + 102623 152.813 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))))))) 152.813 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 152.814 * * * * [progress]: [ 242 / 5906 ] simplifiying candidate # 152.815 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 152.816 * * [simplify]: iters left: 6 (52 enodes) 152.841 * * [simplify]: iters left: 5 (254 enodes) 152.898 * * [simplify]: Extracting #0: cost 1 inf + 0 152.898 * * [simplify]: Extracting #1: cost 3 inf + 0 152.898 * * [simplify]: Extracting #2: cost 6 inf + 0 152.898 * * [simplify]: Extracting #3: cost 56 inf + 0 152.898 * * [simplify]: Extracting #4: cost 130 inf + 0 152.899 * * [simplify]: Extracting #5: cost 207 inf + 0 152.899 * * [simplify]: Extracting #6: cost 285 inf + 1550 152.902 * * [simplify]: Extracting #7: cost 225 inf + 13558 152.907 * * [simplify]: Extracting #8: cost 138 inf + 38436 152.916 * * [simplify]: Extracting #9: cost 97 inf + 52406 152.933 * * [simplify]: Extracting #10: cost 50 inf + 70853 152.970 * * [simplify]: Extracting #11: cost 18 inf + 103853 153.011 * * [simplify]: Extracting #12: cost 0 inf + 125223 153.036 * * [simplify]: Extracting #13: cost 0 inf + 124263 153.068 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 153.068 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 153.069 * * * * [progress]: [ 243 / 5906 ] simplifiying candidate # 153.070 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 153.070 * * [simplify]: iters left: 6 (53 enodes) 153.098 * * [simplify]: iters left: 5 (263 enodes) 153.202 * * [simplify]: Extracting #0: cost 1 inf + 0 153.202 * * [simplify]: Extracting #1: cost 3 inf + 0 153.202 * * [simplify]: Extracting #2: cost 6 inf + 0 153.202 * * [simplify]: Extracting #3: cost 60 inf + 0 153.202 * * [simplify]: Extracting #4: cost 153 inf + 0 153.203 * * [simplify]: Extracting #5: cost 219 inf + 166 153.204 * * [simplify]: Extracting #6: cost 261 inf + 5379 153.208 * * [simplify]: Extracting #7: cost 208 inf + 17148 153.215 * * [simplify]: Extracting #8: cost 123 inf + 47382 153.242 * * [simplify]: Extracting #9: cost 49 inf + 76257 153.280 * * [simplify]: Extracting #10: cost 9 inf + 117055 153.317 * * [simplify]: Extracting #11: cost 0 inf + 127400 153.352 * * [simplify]: Extracting #12: cost 0 inf + 126920 153.378 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 153.378 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 153.379 * * * * [progress]: [ 244 / 5906 ] simplifiying candidate # 153.379 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 153.380 * * [simplify]: iters left: 6 (53 enodes) 153.404 * * [simplify]: iters left: 5 (263 enodes) 153.470 * * [simplify]: Extracting #0: cost 1 inf + 0 153.470 * * [simplify]: Extracting #1: cost 3 inf + 0 153.470 * * [simplify]: Extracting #2: cost 6 inf + 0 153.470 * * [simplify]: Extracting #3: cost 62 inf + 0 153.471 * * [simplify]: Extracting #4: cost 151 inf + 0 153.472 * * [simplify]: Extracting #5: cost 217 inf + 44 153.475 * * [simplify]: Extracting #6: cost 260 inf + 5295 153.484 * * [simplify]: Extracting #7: cost 205 inf + 18917 153.492 * * [simplify]: Extracting #8: cost 124 inf + 45791 153.504 * * [simplify]: Extracting #9: cost 49 inf + 74087 153.533 * * [simplify]: Extracting #10: cost 15 inf + 107977 153.558 * * [simplify]: Extracting #11: cost 0 inf + 125312 153.594 * * [simplify]: Extracting #12: cost 0 inf + 124432 153.639 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 153.639 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 153.640 * * * * [progress]: [ 245 / 5906 ] simplifiying candidate # 153.640 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 153.641 * * [simplify]: iters left: 6 (47 enodes) 153.665 * * [simplify]: iters left: 5 (227 enodes) 153.729 * * [simplify]: Extracting #0: cost 1 inf + 0 153.729 * * [simplify]: Extracting #1: cost 3 inf + 0 153.729 * * [simplify]: Extracting #2: cost 6 inf + 0 153.729 * * [simplify]: Extracting #3: cost 54 inf + 0 153.729 * * [simplify]: Extracting #4: cost 119 inf + 0 153.730 * * [simplify]: Extracting #5: cost 164 inf + 126 153.732 * * [simplify]: Extracting #6: cost 233 inf + 1520 153.735 * * [simplify]: Extracting #7: cost 218 inf + 5218 153.745 * * [simplify]: Extracting #8: cost 123 inf + 33076 153.765 * * [simplify]: Extracting #9: cost 55 inf + 57115 153.788 * * [simplify]: Extracting #10: cost 28 inf + 70977 153.821 * * [simplify]: Extracting #11: cost 5 inf + 94006 153.842 * * [simplify]: Extracting #12: cost 1 inf + 99786 153.883 * * [simplify]: Extracting #13: cost 0 inf + 101611 153.922 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) 153.922 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 153.923 * * * * [progress]: [ 246 / 5906 ] simplifiying candidate # 153.924 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 153.924 * * [simplify]: iters left: 6 (52 enodes) 153.938 * * [simplify]: iters left: 5 (255 enodes) 154.023 * * [simplify]: Extracting #0: cost 1 inf + 0 154.024 * * [simplify]: Extracting #1: cost 3 inf + 0 154.024 * * [simplify]: Extracting #2: cost 10 inf + 0 154.024 * * [simplify]: Extracting #3: cost 74 inf + 0 154.024 * * [simplify]: Extracting #4: cost 137 inf + 1 154.025 * * [simplify]: Extracting #5: cost 186 inf + 248 154.026 * * [simplify]: Extracting #6: cost 253 inf + 2576 154.030 * * [simplify]: Extracting #7: cost 198 inf + 18484 154.036 * * [simplify]: Extracting #8: cost 134 inf + 37232 154.045 * * [simplify]: Extracting #9: cost 97 inf + 51392 154.057 * * [simplify]: Extracting #10: cost 46 inf + 70752 154.097 * * [simplify]: Extracting #11: cost 6 inf + 110712 154.147 * * [simplify]: Extracting #12: cost 0 inf + 118302 154.191 * * [simplify]: Extracting #13: cost 0 inf + 118182 154.216 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 154.216 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 154.216 * * * * [progress]: [ 247 / 5906 ] simplifiying candidate # 154.217 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 154.217 * * [simplify]: iters left: 6 (47 enodes) 154.229 * * [simplify]: iters left: 5 (227 enodes) 154.275 * * [simplify]: Extracting #0: cost 1 inf + 0 154.275 * * [simplify]: Extracting #1: cost 3 inf + 0 154.275 * * [simplify]: Extracting #2: cost 10 inf + 0 154.276 * * [simplify]: Extracting #3: cost 66 inf + 0 154.276 * * [simplify]: Extracting #4: cost 117 inf + 44 154.276 * * [simplify]: Extracting #5: cost 151 inf + 1064 154.277 * * [simplify]: Extracting #6: cost 222 inf + 3016 154.279 * * [simplify]: Extracting #7: cost 213 inf + 5014 154.281 * * [simplify]: Extracting #8: cost 159 inf + 15375 154.287 * * [simplify]: Extracting #9: cost 104 inf + 35399 154.302 * * [simplify]: Extracting #10: cost 14 inf + 85825 154.323 * * [simplify]: Extracting #11: cost 1 inf + 95836 154.345 * * [simplify]: Extracting #12: cost 0 inf + 97301 154.388 * * [simplify]: Extracting #13: cost 0 inf + 97141 154.427 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2)))))))) 154.427 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 154.428 * * * * [progress]: [ 248 / 5906 ] simplifiying candidate # 154.428 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 154.429 * * [simplify]: iters left: 6 (52 enodes) 154.447 * * [simplify]: iters left: 5 (255 enodes) 154.508 * * [simplify]: Extracting #0: cost 1 inf + 0 154.508 * * [simplify]: Extracting #1: cost 3 inf + 0 154.509 * * [simplify]: Extracting #2: cost 10 inf + 0 154.509 * * [simplify]: Extracting #3: cost 74 inf + 0 154.509 * * [simplify]: Extracting #4: cost 137 inf + 1 154.510 * * [simplify]: Extracting #5: cost 186 inf + 248 154.512 * * [simplify]: Extracting #6: cost 258 inf + 1605 154.517 * * [simplify]: Extracting #7: cost 211 inf + 13043 154.529 * * [simplify]: Extracting #8: cost 137 inf + 36895 154.546 * * [simplify]: Extracting #9: cost 95 inf + 52921 154.569 * * [simplify]: Extracting #10: cost 46 inf + 71712 154.606 * * [simplify]: Extracting #11: cost 7 inf + 110487 154.648 * * [simplify]: Extracting #12: cost 0 inf + 119302 154.677 * * [simplify]: Extracting #13: cost 0 inf + 119142 154.708 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 154.708 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 154.709 * * * * [progress]: [ 249 / 5906 ] simplifiying candidate # 154.709 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 154.710 * * [simplify]: iters left: 6 (47 enodes) 154.723 * * [simplify]: iters left: 5 (227 enodes) 154.803 * * [simplify]: Extracting #0: cost 1 inf + 0 154.803 * * [simplify]: Extracting #1: cost 3 inf + 0 154.803 * * [simplify]: Extracting #2: cost 10 inf + 0 154.803 * * [simplify]: Extracting #3: cost 65 inf + 0 154.804 * * [simplify]: Extracting #4: cost 117 inf + 44 154.804 * * [simplify]: Extracting #5: cost 155 inf + 496 154.805 * * [simplify]: Extracting #6: cost 223 inf + 2814 154.806 * * [simplify]: Extracting #7: cost 216 inf + 4811 154.809 * * [simplify]: Extracting #8: cost 162 inf + 14969 154.815 * * [simplify]: Extracting #9: cost 98 inf + 38402 154.826 * * [simplify]: Extracting #10: cost 40 inf + 61988 154.842 * * [simplify]: Extracting #11: cost 5 inf + 92176 154.881 * * [simplify]: Extracting #12: cost 1 inf + 96596 154.919 * * [simplify]: Extracting #13: cost 0 inf + 98421 154.954 * * [simplify]: Extracting #14: cost 0 inf + 98341 154.988 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 154.988 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 154.989 * * * * [progress]: [ 250 / 5906 ] simplifiying candidate # 154.989 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 154.990 * * [simplify]: iters left: 6 (52 enodes) 155.010 * * [simplify]: iters left: 5 (255 enodes) 155.073 * * [simplify]: Extracting #0: cost 1 inf + 0 155.074 * * [simplify]: Extracting #1: cost 3 inf + 0 155.074 * * [simplify]: Extracting #2: cost 6 inf + 0 155.074 * * [simplify]: Extracting #3: cost 56 inf + 0 155.074 * * [simplify]: Extracting #4: cost 130 inf + 0 155.075 * * [simplify]: Extracting #5: cost 207 inf + 0 155.077 * * [simplify]: Extracting #6: cost 295 inf + 2693 155.081 * * [simplify]: Extracting #7: cost 249 inf + 10355 155.088 * * [simplify]: Extracting #8: cost 176 inf + 23805 155.099 * * [simplify]: Extracting #9: cost 123 inf + 39417 155.114 * * [simplify]: Extracting #10: cost 48 inf + 75073 155.134 * * [simplify]: Extracting #11: cost 17 inf + 106640 155.159 * * [simplify]: Extracting #12: cost 0 inf + 128265 155.185 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 155.185 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 155.185 * * * * [progress]: [ 251 / 5906 ] simplifiying candidate # 155.186 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 155.186 * * [simplify]: iters left: 6 (53 enodes) 155.217 * * [simplify]: iters left: 5 (264 enodes) 155.306 * * [simplify]: Extracting #0: cost 1 inf + 0 155.306 * * [simplify]: Extracting #1: cost 3 inf + 0 155.306 * * [simplify]: Extracting #2: cost 6 inf + 0 155.306 * * [simplify]: Extracting #3: cost 60 inf + 0 155.307 * * [simplify]: Extracting #4: cost 153 inf + 0 155.308 * * [simplify]: Extracting #5: cost 221 inf + 44 155.310 * * [simplify]: Extracting #6: cost 276 inf + 4640 155.312 * * [simplify]: Extracting #7: cost 241 inf + 12143 155.318 * * [simplify]: Extracting #8: cost 158 inf + 32511 155.334 * * [simplify]: Extracting #9: cost 45 inf + 85703 155.371 * * [simplify]: Extracting #10: cost 4 inf + 126102 155.422 * * [simplify]: Extracting #11: cost 0 inf + 131722 155.457 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 155.457 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 155.458 * * * * [progress]: [ 252 / 5906 ] simplifiying candidate # 155.458 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 155.459 * * [simplify]: iters left: 6 (53 enodes) 155.474 * * [simplify]: iters left: 5 (264 enodes) 155.552 * * [simplify]: Extracting #0: cost 1 inf + 0 155.552 * * [simplify]: Extracting #1: cost 3 inf + 0 155.552 * * [simplify]: Extracting #2: cost 6 inf + 0 155.552 * * [simplify]: Extracting #3: cost 62 inf + 0 155.553 * * [simplify]: Extracting #4: cost 151 inf + 0 155.553 * * [simplify]: Extracting #5: cost 217 inf + 44 155.555 * * [simplify]: Extracting #6: cost 274 inf + 4635 155.557 * * [simplify]: Extracting #7: cost 238 inf + 12242 155.562 * * [simplify]: Extracting #8: cost 157 inf + 32220 155.583 * * [simplify]: Extracting #9: cost 62 inf + 68651 155.624 * * [simplify]: Extracting #10: cost 13 inf + 114789 155.661 * * [simplify]: Extracting #11: cost 0 inf + 129394 155.687 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 155.687 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 155.687 * * * * [progress]: [ 253 / 5906 ] simplifiying candidate # 155.687 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 155.688 * * [simplify]: iters left: 6 (47 enodes) 155.700 * * [simplify]: iters left: 5 (228 enodes) 155.757 * * [simplify]: Extracting #0: cost 1 inf + 0 155.757 * * [simplify]: Extracting #1: cost 3 inf + 0 155.758 * * [simplify]: Extracting #2: cost 6 inf + 0 155.759 * * [simplify]: Extracting #3: cost 54 inf + 0 155.759 * * [simplify]: Extracting #4: cost 119 inf + 0 155.760 * * [simplify]: Extracting #5: cost 165 inf + 44 155.761 * * [simplify]: Extracting #6: cost 240 inf + 1435 155.764 * * [simplify]: Extracting #7: cost 231 inf + 3588 155.774 * * [simplify]: Extracting #8: cost 128 inf + 32687 155.795 * * [simplify]: Extracting #9: cost 49 inf + 63211 155.834 * * [simplify]: Extracting #10: cost 4 inf + 101166 155.875 * * [simplify]: Extracting #11: cost 1 inf + 105068 155.905 * * [simplify]: Extracting #12: cost 0 inf + 106933 155.927 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 155.927 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 155.928 * * * * [progress]: [ 254 / 5906 ] simplifiying candidate # 155.928 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 155.928 * * [simplify]: iters left: 6 (52 enodes) 155.942 * * [simplify]: iters left: 5 (256 enodes) 155.997 * * [simplify]: Extracting #0: cost 1 inf + 0 155.997 * * [simplify]: Extracting #1: cost 3 inf + 0 155.997 * * [simplify]: Extracting #2: cost 10 inf + 0 155.997 * * [simplify]: Extracting #3: cost 74 inf + 0 155.997 * * [simplify]: Extracting #4: cost 137 inf + 1 155.998 * * [simplify]: Extracting #5: cost 186 inf + 248 155.999 * * [simplify]: Extracting #6: cost 266 inf + 2199 156.001 * * [simplify]: Extracting #7: cost 237 inf + 8692 156.004 * * [simplify]: Extracting #8: cost 178 inf + 21277 156.011 * * [simplify]: Extracting #9: cost 103 inf + 44965 156.035 * * [simplify]: Extracting #10: cost 49 inf + 71481 156.057 * * [simplify]: Extracting #11: cost 11 inf + 108029 156.094 * * [simplify]: Extracting #12: cost 1 inf + 120319 156.124 * * [simplify]: Extracting #13: cost 0 inf + 122344 156.165 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 156.166 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 156.167 * * * * [progress]: [ 255 / 5906 ] simplifiying candidate # 156.167 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 156.168 * * [simplify]: iters left: 6 (47 enodes) 156.193 * * [simplify]: iters left: 5 (228 enodes) 156.279 * * [simplify]: Extracting #0: cost 1 inf + 0 156.279 * * [simplify]: Extracting #1: cost 3 inf + 0 156.279 * * [simplify]: Extracting #2: cost 10 inf + 0 156.279 * * [simplify]: Extracting #3: cost 66 inf + 0 156.280 * * [simplify]: Extracting #4: cost 117 inf + 44 156.281 * * [simplify]: Extracting #5: cost 150 inf + 1226 156.283 * * [simplify]: Extracting #6: cost 228 inf + 2972 156.285 * * [simplify]: Extracting #7: cost 230 inf + 3344 156.291 * * [simplify]: Extracting #8: cost 163 inf + 19457 156.307 * * [simplify]: Extracting #9: cost 71 inf + 49237 156.341 * * [simplify]: Extracting #10: cost 14 inf + 91880 156.367 * * [simplify]: Extracting #11: cost 1 inf + 100598 156.388 * * [simplify]: Extracting #12: cost 0 inf + 102223 156.408 * * [simplify]: Extracting #13: cost 0 inf + 102023 156.429 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 156.430 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 156.430 * * * * [progress]: [ 256 / 5906 ] simplifiying candidate # 156.430 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 156.431 * * [simplify]: iters left: 6 (52 enodes) 156.446 * * [simplify]: iters left: 5 (256 enodes) 156.512 * * [simplify]: Extracting #0: cost 1 inf + 0 156.512 * * [simplify]: Extracting #1: cost 3 inf + 0 156.512 * * [simplify]: Extracting #2: cost 10 inf + 0 156.512 * * [simplify]: Extracting #3: cost 74 inf + 0 156.513 * * [simplify]: Extracting #4: cost 137 inf + 1 156.514 * * [simplify]: Extracting #5: cost 186 inf + 248 156.515 * * [simplify]: Extracting #6: cost 269 inf + 1272 156.518 * * [simplify]: Extracting #7: cost 241 inf + 7684 156.525 * * [simplify]: Extracting #8: cost 177 inf + 22411 156.541 * * [simplify]: Extracting #9: cost 101 inf + 46470 156.565 * * [simplify]: Extracting #10: cost 49 inf + 72281 156.603 * * [simplify]: Extracting #11: cost 11 inf + 108989 156.628 * * [simplify]: Extracting #12: cost 1 inf + 121279 156.673 * * [simplify]: Extracting #13: cost 0 inf + 123304 156.701 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 156.701 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 156.701 * * * * [progress]: [ 257 / 5906 ] simplifiying candidate # 156.702 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 156.702 * * [simplify]: iters left: 6 (47 enodes) 156.714 * * [simplify]: iters left: 5 (228 enodes) 156.773 * * [simplify]: Extracting #0: cost 1 inf + 0 156.773 * * [simplify]: Extracting #1: cost 3 inf + 0 156.773 * * [simplify]: Extracting #2: cost 10 inf + 0 156.773 * * [simplify]: Extracting #3: cost 65 inf + 0 156.773 * * [simplify]: Extracting #4: cost 117 inf + 44 156.774 * * [simplify]: Extracting #5: cost 154 inf + 618 156.775 * * [simplify]: Extracting #6: cost 229 inf + 2770 156.776 * * [simplify]: Extracting #7: cost 229 inf + 3464 156.781 * * [simplify]: Extracting #8: cost 172 inf + 16187 156.789 * * [simplify]: Extracting #9: cost 69 inf + 51005 156.805 * * [simplify]: Extracting #10: cost 16 inf + 90574 156.831 * * [simplify]: Extracting #11: cost 1 inf + 101078 156.867 * * [simplify]: Extracting #12: cost 0 inf + 102543 156.887 * * [simplify]: Extracting #13: cost 0 inf + 102423 156.908 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 156.908 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 156.909 * * * * [progress]: [ 258 / 5906 ] simplifiying candidate # 156.909 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 156.909 * * [simplify]: iters left: 6 (52 enodes) 156.928 * * [simplify]: iters left: 5 (255 enodes) 157.020 * * [simplify]: Extracting #0: cost 1 inf + 0 157.020 * * [simplify]: Extracting #1: cost 3 inf + 0 157.020 * * [simplify]: Extracting #2: cost 6 inf + 0 157.020 * * [simplify]: Extracting #3: cost 56 inf + 0 157.020 * * [simplify]: Extracting #4: cost 130 inf + 0 157.021 * * [simplify]: Extracting #5: cost 207 inf + 0 157.021 * * [simplify]: Extracting #6: cost 281 inf + 3594 157.024 * * [simplify]: Extracting #7: cost 221 inf + 16371 157.030 * * [simplify]: Extracting #8: cost 141 inf + 36881 157.038 * * [simplify]: Extracting #9: cost 99 inf + 52408 157.055 * * [simplify]: Extracting #10: cost 43 inf + 76350 157.091 * * [simplify]: Extracting #11: cost 19 inf + 101830 157.137 * * [simplify]: Extracting #12: cost 0 inf + 125825 157.189 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 157.189 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 157.190 * * * * [progress]: [ 259 / 5906 ] simplifiying candidate # 157.191 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 157.191 * * [simplify]: iters left: 6 (53 enodes) 157.219 * * [simplify]: iters left: 5 (264 enodes) 157.305 * * [simplify]: Extracting #0: cost 1 inf + 0 157.306 * * [simplify]: Extracting #1: cost 3 inf + 0 157.306 * * [simplify]: Extracting #2: cost 6 inf + 0 157.306 * * [simplify]: Extracting #3: cost 60 inf + 0 157.306 * * [simplify]: Extracting #4: cost 153 inf + 0 157.308 * * [simplify]: Extracting #5: cost 221 inf + 44 157.311 * * [simplify]: Extracting #6: cost 258 inf + 6388 157.319 * * [simplify]: Extracting #7: cost 206 inf + 18088 157.333 * * [simplify]: Extracting #8: cost 127 inf + 44486 157.358 * * [simplify]: Extracting #9: cost 51 inf + 74498 157.400 * * [simplify]: Extracting #10: cost 3 inf + 124407 157.441 * * [simplify]: Extracting #11: cost 0 inf + 127242 157.468 * * [simplify]: Extracting #12: cost 0 inf + 127082 157.493 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) 157.493 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 157.494 * * * * [progress]: [ 260 / 5906 ] simplifiying candidate # 157.495 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 157.496 * * [simplify]: iters left: 6 (53 enodes) 157.523 * * [simplify]: iters left: 5 (264 enodes) 157.609 * * [simplify]: Extracting #0: cost 1 inf + 0 157.609 * * [simplify]: Extracting #1: cost 3 inf + 0 157.609 * * [simplify]: Extracting #2: cost 6 inf + 0 157.609 * * [simplify]: Extracting #3: cost 62 inf + 0 157.610 * * [simplify]: Extracting #4: cost 151 inf + 0 157.611 * * [simplify]: Extracting #5: cost 217 inf + 44 157.613 * * [simplify]: Extracting #6: cost 262 inf + 5332 157.620 * * [simplify]: Extracting #7: cost 203 inf + 19784 157.635 * * [simplify]: Extracting #8: cost 116 inf + 47942 157.660 * * [simplify]: Extracting #9: cost 48 inf + 75716 157.701 * * [simplify]: Extracting #10: cost 11 inf + 112279 157.747 * * [simplify]: Extracting #11: cost 0 inf + 124754 157.794 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 157.794 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 157.795 * * * * [progress]: [ 261 / 5906 ] simplifiying candidate # 157.796 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 157.796 * * [simplify]: iters left: 6 (47 enodes) 157.821 * * [simplify]: iters left: 5 (228 enodes) 157.916 * * [simplify]: Extracting #0: cost 1 inf + 0 157.916 * * [simplify]: Extracting #1: cost 3 inf + 0 157.916 * * [simplify]: Extracting #2: cost 6 inf + 0 157.917 * * [simplify]: Extracting #3: cost 54 inf + 0 157.917 * * [simplify]: Extracting #4: cost 119 inf + 0 157.918 * * [simplify]: Extracting #5: cost 165 inf + 44 157.919 * * [simplify]: Extracting #6: cost 234 inf + 1560 157.921 * * [simplify]: Extracting #7: cost 209 inf + 6275 157.927 * * [simplify]: Extracting #8: cost 122 inf + 32713 157.938 * * [simplify]: Extracting #9: cost 45 inf + 64127 157.958 * * [simplify]: Extracting #10: cost 8 inf + 95252 158.002 * * [simplify]: Extracting #11: cost 1 inf + 100988 158.035 * * [simplify]: Extracting #12: cost 0 inf + 102853 158.056 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) 158.056 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 158.057 * * * * [progress]: [ 262 / 5906 ] simplifiying candidate # 158.057 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 158.057 * * [simplify]: iters left: 6 (52 enodes) 158.080 * * [simplify]: iters left: 5 (256 enodes) 158.149 * * [simplify]: Extracting #0: cost 1 inf + 0 158.149 * * [simplify]: Extracting #1: cost 3 inf + 0 158.149 * * [simplify]: Extracting #2: cost 10 inf + 0 158.149 * * [simplify]: Extracting #3: cost 74 inf + 0 158.149 * * [simplify]: Extracting #4: cost 137 inf + 1 158.150 * * [simplify]: Extracting #5: cost 186 inf + 248 158.151 * * [simplify]: Extracting #6: cost 249 inf + 3788 158.154 * * [simplify]: Extracting #7: cost 199 inf + 15547 158.163 * * [simplify]: Extracting #8: cost 147 inf + 30474 158.174 * * [simplify]: Extracting #9: cost 85 inf + 53912 158.185 * * [simplify]: Extracting #10: cost 49 inf + 69679 158.212 * * [simplify]: Extracting #11: cost 11 inf + 104549 158.248 * * [simplify]: Extracting #12: cost 1 inf + 116279 158.286 * * [simplify]: Extracting #13: cost 0 inf + 118344 158.314 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 158.314 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 158.314 * * * * [progress]: [ 263 / 5906 ] simplifiying candidate # 158.315 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 158.315 * * [simplify]: iters left: 6 (47 enodes) 158.333 * * [simplify]: iters left: 5 (228 enodes) 158.388 * * [simplify]: Extracting #0: cost 1 inf + 0 158.388 * * [simplify]: Extracting #1: cost 3 inf + 0 158.388 * * [simplify]: Extracting #2: cost 10 inf + 0 158.388 * * [simplify]: Extracting #3: cost 66 inf + 0 158.388 * * [simplify]: Extracting #4: cost 117 inf + 44 158.389 * * [simplify]: Extracting #5: cost 150 inf + 1226 158.390 * * [simplify]: Extracting #6: cost 223 inf + 3016 158.391 * * [simplify]: Extracting #7: cost 215 inf + 4976 158.395 * * [simplify]: Extracting #8: cost 160 inf + 15334 158.407 * * [simplify]: Extracting #9: cost 103 inf + 36494 158.425 * * [simplify]: Extracting #10: cost 41 inf + 61255 158.454 * * [simplify]: Extracting #11: cost 5 inf + 92458 158.475 * * [simplify]: Extracting #12: cost 1 inf + 96758 158.507 * * [simplify]: Extracting #13: cost 0 inf + 98583 158.536 * * [simplify]: Extracting #14: cost 0 inf + 98423 158.557 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 158.557 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 158.558 * * * * [progress]: [ 264 / 5906 ] simplifiying candidate # 158.558 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 158.559 * * [simplify]: iters left: 6 (52 enodes) 158.585 * * [simplify]: iters left: 5 (256 enodes) 158.691 * * [simplify]: Extracting #0: cost 1 inf + 0 158.691 * * [simplify]: Extracting #1: cost 3 inf + 0 158.692 * * [simplify]: Extracting #2: cost 10 inf + 0 158.692 * * [simplify]: Extracting #3: cost 74 inf + 0 158.692 * * [simplify]: Extracting #4: cost 137 inf + 1 158.693 * * [simplify]: Extracting #5: cost 186 inf + 248 158.695 * * [simplify]: Extracting #6: cost 253 inf + 2497 158.699 * * [simplify]: Extracting #7: cost 208 inf + 12681 158.708 * * [simplify]: Extracting #8: cost 145 inf + 31540 158.725 * * [simplify]: Extracting #9: cost 85 inf + 54431 158.753 * * [simplify]: Extracting #10: cost 49 inf + 70639 158.788 * * [simplify]: Extracting #11: cost 11 inf + 105509 158.832 * * [simplify]: Extracting #12: cost 1 inf + 117239 158.878 * * [simplify]: Extracting #13: cost 0 inf + 119304 158.927 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 158.927 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 158.928 * * * * [progress]: [ 265 / 5906 ] simplifiying candidate # 158.928 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 158.929 * * [simplify]: iters left: 6 (47 enodes) 158.954 * * [simplify]: iters left: 5 (228 enodes) 159.026 * * [simplify]: Extracting #0: cost 1 inf + 0 159.026 * * [simplify]: Extracting #1: cost 3 inf + 0 159.026 * * [simplify]: Extracting #2: cost 10 inf + 0 159.026 * * [simplify]: Extracting #3: cost 65 inf + 0 159.026 * * [simplify]: Extracting #4: cost 117 inf + 44 159.027 * * [simplify]: Extracting #5: cost 154 inf + 618 159.028 * * [simplify]: Extracting #6: cost 224 inf + 2814 159.029 * * [simplify]: Extracting #7: cost 213 inf + 5096 159.033 * * [simplify]: Extracting #8: cost 137 inf + 22923 159.044 * * [simplify]: Extracting #9: cost 59 inf + 53200 159.060 * * [simplify]: Extracting #10: cost 7 inf + 92183 159.094 * * [simplify]: Extracting #11: cost 1 inf + 97158 159.134 * * [simplify]: Extracting #12: cost 0 inf + 98983 159.173 * * [simplify]: Extracting #13: cost 0 inf + 98823 159.212 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 159.212 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 159.213 * * * * [progress]: [ 266 / 5906 ] simplifiying candidate # 159.214 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 159.214 * * [simplify]: iters left: 6 (45 enodes) 159.240 * * [simplify]: iters left: 5 (213 enodes) 159.292 * * [simplify]: Extracting #0: cost 1 inf + 0 159.292 * * [simplify]: Extracting #1: cost 3 inf + 0 159.292 * * [simplify]: Extracting #2: cost 6 inf + 0 159.292 * * [simplify]: Extracting #3: cost 48 inf + 0 159.292 * * [simplify]: Extracting #4: cost 112 inf + 0 159.293 * * [simplify]: Extracting #5: cost 179 inf + 0 159.294 * * [simplify]: Extracting #6: cost 246 inf + 127 159.296 * * [simplify]: Extracting #7: cost 226 inf + 7504 159.301 * * [simplify]: Extracting #8: cost 147 inf + 19826 159.312 * * [simplify]: Extracting #9: cost 76 inf + 42519 159.338 * * [simplify]: Extracting #10: cost 27 inf + 74298 159.374 * * [simplify]: Extracting #11: cost 7 inf + 91514 159.411 * * [simplify]: Extracting #12: cost 0 inf + 98609 159.452 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) 159.452 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 159.454 * * * * [progress]: [ 267 / 5906 ] simplifiying candidate # 159.455 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 159.456 * * [simplify]: iters left: 6 (46 enodes) 159.483 * * [simplify]: iters left: 5 (222 enodes) 159.548 * * [simplify]: Extracting #0: cost 1 inf + 0 159.548 * * [simplify]: Extracting #1: cost 3 inf + 0 159.548 * * [simplify]: Extracting #2: cost 6 inf + 0 159.548 * * [simplify]: Extracting #3: cost 52 inf + 0 159.548 * * [simplify]: Extracting #4: cost 135 inf + 0 159.549 * * [simplify]: Extracting #5: cost 192 inf + 126 159.550 * * [simplify]: Extracting #6: cost 231 inf + 6099 159.552 * * [simplify]: Extracting #7: cost 192 inf + 14765 159.556 * * [simplify]: Extracting #8: cost 119 inf + 31587 159.566 * * [simplify]: Extracting #9: cost 48 inf + 58662 159.584 * * [simplify]: Extracting #10: cost 6 inf + 94356 159.618 * * [simplify]: Extracting #11: cost 0 inf + 102706 159.659 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 159.659 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 159.661 * * * * [progress]: [ 268 / 5906 ] simplifiying candidate # 159.661 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 159.662 * * [simplify]: iters left: 6 (46 enodes) 159.686 * * [simplify]: iters left: 5 (222 enodes) 159.753 * * [simplify]: Extracting #0: cost 1 inf + 0 159.753 * * [simplify]: Extracting #1: cost 3 inf + 0 159.753 * * [simplify]: Extracting #2: cost 6 inf + 0 159.753 * * [simplify]: Extracting #3: cost 54 inf + 0 159.753 * * [simplify]: Extracting #4: cost 133 inf + 0 159.754 * * [simplify]: Extracting #5: cost 188 inf + 126 159.754 * * [simplify]: Extracting #6: cost 228 inf + 4283 159.757 * * [simplify]: Extracting #7: cost 196 inf + 12861 159.760 * * [simplify]: Extracting #8: cost 132 inf + 26550 159.770 * * [simplify]: Extracting #9: cost 68 inf + 48249 159.790 * * [simplify]: Extracting #10: cost 20 inf + 83639 159.811 * * [simplify]: Extracting #11: cost 0 inf + 100658 159.845 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 159.845 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 159.846 * * * * [progress]: [ 269 / 5906 ] simplifiying candidate # 159.847 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 159.847 * * [simplify]: iters left: 6 (40 enodes) 159.870 * * [simplify]: iters left: 5 (186 enodes) 159.936 * * [simplify]: Extracting #0: cost 1 inf + 0 159.936 * * [simplify]: Extracting #1: cost 3 inf + 0 159.936 * * [simplify]: Extracting #2: cost 6 inf + 0 159.936 * * [simplify]: Extracting #3: cost 46 inf + 0 159.936 * * [simplify]: Extracting #4: cost 101 inf + 0 159.937 * * [simplify]: Extracting #5: cost 137 inf + 44 159.938 * * [simplify]: Extracting #6: cost 181 inf + 1802 159.939 * * [simplify]: Extracting #7: cost 179 inf + 3185 159.942 * * [simplify]: Extracting #8: cost 105 inf + 21396 159.952 * * [simplify]: Extracting #9: cost 33 inf + 53129 159.966 * * [simplify]: Extracting #10: cost 7 inf + 73368 159.984 * * [simplify]: Extracting #11: cost 0 inf + 78077 160.000 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) 160.000 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 160.001 * * * * [progress]: [ 270 / 5906 ] simplifiying candidate # 160.001 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 160.002 * * [simplify]: iters left: 6 (45 enodes) 160.017 * * [simplify]: iters left: 5 (215 enodes) 160.093 * * [simplify]: Extracting #0: cost 1 inf + 0 160.093 * * [simplify]: Extracting #1: cost 3 inf + 0 160.093 * * [simplify]: Extracting #2: cost 10 inf + 0 160.093 * * [simplify]: Extracting #3: cost 62 inf + 0 160.093 * * [simplify]: Extracting #4: cost 116 inf + 1 160.094 * * [simplify]: Extracting #5: cost 155 inf + 289 160.095 * * [simplify]: Extracting #6: cost 214 inf + 1238 160.096 * * [simplify]: Extracting #7: cost 183 inf + 10352 160.099 * * [simplify]: Extracting #8: cost 133 inf + 22438 160.108 * * [simplify]: Extracting #9: cost 40 inf + 56015 160.123 * * [simplify]: Extracting #10: cost 3 inf + 88498 160.152 * * [simplify]: Extracting #11: cost 0 inf + 91173 160.187 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))))) 160.187 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 160.188 * * * * [progress]: [ 271 / 5906 ] simplifiying candidate # 160.188 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 160.189 * * [simplify]: iters left: 6 (40 enodes) 160.209 * * [simplify]: iters left: 5 (187 enodes) 160.256 * * [simplify]: iters left: 4 (483 enodes) 160.479 * * [simplify]: Extracting #0: cost 1 inf + 0 160.480 * * [simplify]: Extracting #1: cost 3 inf + 0 160.480 * * [simplify]: Extracting #2: cost 13 inf + 0 160.480 * * [simplify]: Extracting #3: cost 111 inf + 0 160.482 * * [simplify]: Extracting #4: cost 243 inf + 85 160.485 * * [simplify]: Extracting #5: cost 347 inf + 2367 160.495 * * [simplify]: Extracting #6: cost 461 inf + 6228 160.504 * * [simplify]: Extracting #7: cost 555 inf + 12721 160.534 * * [simplify]: Extracting #8: cost 322 inf + 80466 160.608 * * [simplify]: Extracting #9: cost 94 inf + 188276 160.688 * * [simplify]: Extracting #10: cost 11 inf + 243333 160.758 * * [simplify]: Extracting #11: cost 0 inf + 250008 160.835 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- phi1 phi2) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 160.835 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- phi1 phi2) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 160.836 * * * * [progress]: [ 272 / 5906 ] simplifiying candidate # 160.837 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 160.837 * * [simplify]: iters left: 6 (45 enodes) 160.860 * * [simplify]: iters left: 5 (215 enodes) 160.949 * * [simplify]: Extracting #0: cost 1 inf + 0 160.949 * * [simplify]: Extracting #1: cost 3 inf + 0 160.949 * * [simplify]: Extracting #2: cost 10 inf + 0 160.949 * * [simplify]: Extracting #3: cost 62 inf + 0 160.949 * * [simplify]: Extracting #4: cost 116 inf + 1 160.950 * * [simplify]: Extracting #5: cost 155 inf + 289 160.952 * * [simplify]: Extracting #6: cost 210 inf + 2188 160.955 * * [simplify]: Extracting #7: cost 188 inf + 8590 160.961 * * [simplify]: Extracting #8: cost 126 inf + 24589 160.978 * * [simplify]: Extracting #9: cost 38 inf + 58044 160.997 * * [simplify]: Extracting #10: cost 3 inf + 89298 161.015 * * [simplify]: Extracting #11: cost 0 inf + 91973 161.050 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))))) 161.050 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 161.052 * * * * [progress]: [ 273 / 5906 ] simplifiying candidate # 161.052 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 161.053 * * [simplify]: iters left: 6 (40 enodes) 161.077 * * [simplify]: iters left: 5 (187 enodes) 161.126 * * [simplify]: iters left: 4 (483 enodes) 161.304 * * [simplify]: Extracting #0: cost 1 inf + 0 161.304 * * [simplify]: Extracting #1: cost 3 inf + 0 161.304 * * [simplify]: Extracting #2: cost 13 inf + 0 161.304 * * [simplify]: Extracting #3: cost 108 inf + 0 161.305 * * [simplify]: Extracting #4: cost 252 inf + 44 161.306 * * [simplify]: Extracting #5: cost 352 inf + 2649 161.309 * * [simplify]: Extracting #6: cost 469 inf + 5742 161.317 * * [simplify]: Extracting #7: cost 517 inf + 31110 161.349 * * [simplify]: Extracting #8: cost 311 inf + 103715 161.399 * * [simplify]: Extracting #9: cost 217 inf + 136325 161.469 * * [simplify]: Extracting #10: cost 46 inf + 219572 161.584 * * [simplify]: Extracting #11: cost 1 inf + 252841 161.667 * * [simplify]: Extracting #12: cost 0 inf + 253826 161.757 * * [simplify]: Extracting #13: cost 0 inf + 253786 161.830 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 161.830 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 161.831 * * * * [progress]: [ 274 / 5906 ] simplifiying candidate # 161.831 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 161.832 * * [simplify]: iters left: 6 (52 enodes) 161.856 * * [simplify]: iters left: 5 (254 enodes) 161.922 * * [simplify]: Extracting #0: cost 1 inf + 0 161.922 * * [simplify]: Extracting #1: cost 3 inf + 0 161.922 * * [simplify]: Extracting #2: cost 6 inf + 0 161.922 * * [simplify]: Extracting #3: cost 56 inf + 0 161.923 * * [simplify]: Extracting #4: cost 130 inf + 0 161.923 * * [simplify]: Extracting #5: cost 215 inf + 0 161.924 * * [simplify]: Extracting #6: cost 312 inf + 510 161.926 * * [simplify]: Extracting #7: cost 267 inf + 10958 161.930 * * [simplify]: Extracting #8: cost 173 inf + 28496 161.937 * * [simplify]: Extracting #9: cost 119 inf + 42331 161.952 * * [simplify]: Extracting #10: cost 64 inf + 65849 161.993 * * [simplify]: Extracting #11: cost 17 inf + 110443 162.043 * * [simplify]: Extracting #12: cost 1 inf + 129860 162.073 * * [simplify]: Extracting #13: cost 0 inf + 131885 162.117 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 162.117 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 162.118 * * * * [progress]: [ 275 / 5906 ] simplifiying candidate # 162.118 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 162.118 * * [simplify]: iters left: 6 (53 enodes) 162.133 * * [simplify]: iters left: 5 (263 enodes) 162.233 * * [simplify]: Extracting #0: cost 1 inf + 0 162.233 * * [simplify]: Extracting #1: cost 3 inf + 0 162.233 * * [simplify]: Extracting #2: cost 6 inf + 0 162.233 * * [simplify]: Extracting #3: cost 60 inf + 0 162.234 * * [simplify]: Extracting #4: cost 153 inf + 0 162.235 * * [simplify]: Extracting #5: cost 228 inf + 85 162.238 * * [simplify]: Extracting #6: cost 287 inf + 4682 162.246 * * [simplify]: Extracting #7: cost 259 inf + 11925 162.257 * * [simplify]: Extracting #8: cost 163 inf + 32356 162.268 * * [simplify]: Extracting #9: cost 86 inf + 56349 162.282 * * [simplify]: Extracting #10: cost 50 inf + 81653 162.322 * * [simplify]: Extracting #11: cost 2 inf + 131972 162.364 * * [simplify]: Extracting #12: cost 0 inf + 135302 162.405 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 162.405 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 162.406 * * * * [progress]: [ 276 / 5906 ] simplifiying candidate # 162.407 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 162.407 * * [simplify]: iters left: 6 (53 enodes) 162.432 * * [simplify]: iters left: 5 (263 enodes) 162.516 * * [simplify]: Extracting #0: cost 1 inf + 0 162.516 * * [simplify]: Extracting #1: cost 3 inf + 0 162.516 * * [simplify]: Extracting #2: cost 6 inf + 0 162.516 * * [simplify]: Extracting #3: cost 62 inf + 0 162.517 * * [simplify]: Extracting #4: cost 151 inf + 0 162.518 * * [simplify]: Extracting #5: cost 225 inf + 44 162.520 * * [simplify]: Extracting #6: cost 290 inf + 3631 162.526 * * [simplify]: Extracting #7: cost 255 inf + 12808 162.535 * * [simplify]: Extracting #8: cost 168 inf + 30598 162.548 * * [simplify]: Extracting #9: cost 93 inf + 53450 162.560 * * [simplify]: Extracting #10: cost 65 inf + 68114 162.587 * * [simplify]: Extracting #11: cost 10 inf + 120644 162.644 * * [simplify]: Extracting #12: cost 0 inf + 132974 162.682 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 162.682 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 162.683 * * * * [progress]: [ 277 / 5906 ] simplifiying candidate # 162.683 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 162.683 * * [simplify]: iters left: 6 (47 enodes) 162.697 * * [simplify]: iters left: 5 (227 enodes) 162.746 * * [simplify]: Extracting #0: cost 1 inf + 0 162.746 * * [simplify]: Extracting #1: cost 3 inf + 0 162.746 * * [simplify]: Extracting #2: cost 6 inf + 0 162.746 * * [simplify]: Extracting #3: cost 54 inf + 0 162.746 * * [simplify]: Extracting #4: cost 119 inf + 0 162.746 * * [simplify]: Extracting #5: cost 173 inf + 44 162.747 * * [simplify]: Extracting #6: cost 253 inf + 1394 162.749 * * [simplify]: Extracting #7: cost 238 inf + 3960 162.753 * * [simplify]: Extracting #8: cost 141 inf + 24724 162.762 * * [simplify]: Extracting #9: cost 73 inf + 49423 162.776 * * [simplify]: Extracting #10: cost 24 inf + 83889 162.805 * * [simplify]: Extracting #11: cost 3 inf + 106438 162.829 * * [simplify]: Extracting #12: cost 0 inf + 110593 162.869 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))))))))) 162.869 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 162.869 * * * * [progress]: [ 278 / 5906 ] simplifiying candidate # 162.870 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 162.870 * * [simplify]: iters left: 6 (52 enodes) 162.883 * * [simplify]: iters left: 5 (255 enodes) 162.950 * * [simplify]: Extracting #0: cost 1 inf + 0 162.950 * * [simplify]: Extracting #1: cost 3 inf + 0 162.950 * * [simplify]: Extracting #2: cost 10 inf + 0 162.950 * * [simplify]: Extracting #3: cost 74 inf + 0 162.951 * * [simplify]: Extracting #4: cost 137 inf + 1 162.952 * * [simplify]: Extracting #5: cost 195 inf + 207 162.954 * * [simplify]: Extracting #6: cost 274 inf + 2967 162.957 * * [simplify]: Extracting #7: cost 253 inf + 8135 162.963 * * [simplify]: Extracting #8: cost 178 inf + 22106 162.976 * * [simplify]: Extracting #9: cost 119 inf + 39551 162.997 * * [simplify]: Extracting #10: cost 58 inf + 67497 163.024 * * [simplify]: Extracting #11: cost 34 inf + 83594 163.054 * * [simplify]: Extracting #12: cost 5 inf + 115959 163.082 * * [simplify]: Extracting #13: cost 1 inf + 121099 163.125 * * [simplify]: Extracting #14: cost 0 inf + 123124 163.169 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) 163.170 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 163.170 * * * * [progress]: [ 279 / 5906 ] simplifiying candidate # 163.170 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 163.171 * * [simplify]: iters left: 6 (47 enodes) 163.183 * * [simplify]: iters left: 5 (227 enodes) 163.255 * * [simplify]: Extracting #0: cost 1 inf + 0 163.255 * * [simplify]: Extracting #1: cost 3 inf + 0 163.255 * * [simplify]: Extracting #2: cost 10 inf + 0 163.255 * * [simplify]: Extracting #3: cost 66 inf + 0 163.256 * * [simplify]: Extracting #4: cost 117 inf + 44 163.257 * * [simplify]: Extracting #5: cost 158 inf + 1186 163.259 * * [simplify]: Extracting #6: cost 241 inf + 2972 163.262 * * [simplify]: Extracting #7: cost 239 inf + 3632 163.269 * * [simplify]: Extracting #8: cost 147 inf + 24051 163.287 * * [simplify]: Extracting #9: cost 63 inf + 55547 163.319 * * [simplify]: Extracting #10: cost 10 inf + 93016 163.358 * * [simplify]: Extracting #11: cost 1 inf + 101658 163.401 * * [simplify]: Extracting #12: cost 0 inf + 103443 163.441 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 163.442 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 163.443 * * * * [progress]: [ 280 / 5906 ] simplifiying candidate # 163.443 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 163.444 * * [simplify]: iters left: 6 (52 enodes) 163.459 * * [simplify]: iters left: 5 (255 enodes) 163.512 * * [simplify]: Extracting #0: cost 1 inf + 0 163.512 * * [simplify]: Extracting #1: cost 3 inf + 0 163.513 * * [simplify]: Extracting #2: cost 10 inf + 0 163.513 * * [simplify]: Extracting #3: cost 74 inf + 0 163.513 * * [simplify]: Extracting #4: cost 137 inf + 1 163.514 * * [simplify]: Extracting #5: cost 195 inf + 207 163.516 * * [simplify]: Extracting #6: cost 269 inf + 3494 163.520 * * [simplify]: Extracting #7: cost 251 inf + 9340 163.526 * * [simplify]: Extracting #8: cost 177 inf + 22951 163.537 * * [simplify]: Extracting #9: cost 120 inf + 38947 163.556 * * [simplify]: Extracting #10: cost 57 inf + 68402 163.571 * * [simplify]: Extracting #11: cost 35 inf + 83649 163.603 * * [simplify]: Extracting #12: cost 5 inf + 116759 163.631 * * [simplify]: Extracting #13: cost 1 inf + 121899 163.666 * * [simplify]: Extracting #14: cost 0 inf + 123924 163.693 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) 163.693 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 163.694 * * * * [progress]: [ 281 / 5906 ] simplifiying candidate # 163.694 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 163.694 * * [simplify]: iters left: 6 (47 enodes) 163.706 * * [simplify]: iters left: 5 (227 enodes) 163.770 * * [simplify]: Extracting #0: cost 1 inf + 0 163.771 * * [simplify]: Extracting #1: cost 3 inf + 0 163.771 * * [simplify]: Extracting #2: cost 10 inf + 0 163.771 * * [simplify]: Extracting #3: cost 65 inf + 0 163.771 * * [simplify]: Extracting #4: cost 116 inf + 86 163.772 * * [simplify]: Extracting #5: cost 152 inf + 1958 163.773 * * [simplify]: Extracting #6: cost 241 inf + 2932 163.774 * * [simplify]: Extracting #7: cost 238 inf + 3754 163.778 * * [simplify]: Extracting #8: cost 140 inf + 25328 163.787 * * [simplify]: Extracting #9: cost 65 inf + 54519 163.819 * * [simplify]: Extracting #10: cost 12 inf + 92992 163.858 * * [simplify]: Extracting #11: cost 1 inf + 102058 163.884 * * [simplify]: Extracting #12: cost 0 inf + 103843 163.918 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 163.918 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 163.919 * * * * [progress]: [ 282 / 5906 ] simplifiying candidate # 163.919 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 163.920 * * [simplify]: iters left: 6 (52 enodes) 163.945 * * [simplify]: iters left: 5 (253 enodes) 164.054 * * [simplify]: Extracting #0: cost 1 inf + 0 164.054 * * [simplify]: Extracting #1: cost 3 inf + 0 164.054 * * [simplify]: Extracting #2: cost 6 inf + 0 164.054 * * [simplify]: Extracting #3: cost 56 inf + 0 164.055 * * [simplify]: Extracting #4: cost 130 inf + 0 164.055 * * [simplify]: Extracting #5: cost 216 inf + 0 164.057 * * [simplify]: Extracting #6: cost 304 inf + 722 164.060 * * [simplify]: Extracting #7: cost 256 inf + 11354 164.070 * * [simplify]: Extracting #8: cost 153 inf + 32740 164.089 * * [simplify]: Extracting #9: cost 77 inf + 58692 164.111 * * [simplify]: Extracting #10: cost 38 inf + 84898 164.139 * * [simplify]: Extracting #11: cost 8 inf + 120808 164.169 * * [simplify]: Extracting #12: cost 1 inf + 131663 164.219 * * [simplify]: Extracting #13: cost 0 inf + 133768 164.270 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 164.270 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 164.271 * * * * [progress]: [ 283 / 5906 ] simplifiying candidate # 164.271 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 164.273 * * [simplify]: iters left: 6 (53 enodes) 164.286 * * [simplify]: iters left: 5 (262 enodes) 164.391 * * [simplify]: Extracting #0: cost 1 inf + 0 164.391 * * [simplify]: Extracting #1: cost 3 inf + 0 164.391 * * [simplify]: Extracting #2: cost 6 inf + 0 164.392 * * [simplify]: Extracting #3: cost 60 inf + 0 164.392 * * [simplify]: Extracting #4: cost 153 inf + 0 164.393 * * [simplify]: Extracting #5: cost 230 inf + 44 164.396 * * [simplify]: Extracting #6: cost 284 inf + 4117 164.401 * * [simplify]: Extracting #7: cost 253 inf + 10691 164.412 * * [simplify]: Extracting #8: cost 152 inf + 35664 164.430 * * [simplify]: Extracting #9: cost 24 inf + 105675 164.470 * * [simplify]: Extracting #10: cost 2 inf + 127175 164.525 * * [simplify]: Extracting #11: cost 0 inf + 131225 164.557 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 164.557 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 164.558 * * * * [progress]: [ 284 / 5906 ] simplifiying candidate # 164.558 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 164.559 * * [simplify]: iters left: 6 (53 enodes) 164.573 * * [simplify]: iters left: 5 (262 enodes) 164.640 * * [simplify]: Extracting #0: cost 1 inf + 0 164.640 * * [simplify]: Extracting #1: cost 3 inf + 0 164.641 * * [simplify]: Extracting #2: cost 6 inf + 0 164.641 * * [simplify]: Extracting #3: cost 62 inf + 0 164.641 * * [simplify]: Extracting #4: cost 151 inf + 0 164.642 * * [simplify]: Extracting #5: cost 226 inf + 44 164.645 * * [simplify]: Extracting #6: cost 278 inf + 4958 164.651 * * [simplify]: Extracting #7: cost 252 inf + 10504 164.659 * * [simplify]: Extracting #8: cost 184 inf + 24236 164.672 * * [simplify]: Extracting #9: cost 123 inf + 40165 164.695 * * [simplify]: Extracting #10: cost 59 inf + 71396 164.737 * * [simplify]: Extracting #11: cost 10 inf + 119127 164.793 * * [simplify]: Extracting #12: cost 0 inf + 131537 164.847 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 164.847 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 164.848 * * * * [progress]: [ 285 / 5906 ] simplifiying candidate # 164.848 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 164.848 * * [simplify]: iters left: 6 (47 enodes) 164.860 * * [simplify]: iters left: 5 (226 enodes) 164.942 * * [simplify]: Extracting #0: cost 1 inf + 0 164.942 * * [simplify]: Extracting #1: cost 3 inf + 0 164.942 * * [simplify]: Extracting #2: cost 6 inf + 0 164.942 * * [simplify]: Extracting #3: cost 54 inf + 0 164.943 * * [simplify]: Extracting #4: cost 119 inf + 0 164.944 * * [simplify]: Extracting #5: cost 174 inf + 44 164.945 * * [simplify]: Extracting #6: cost 246 inf + 1394 164.949 * * [simplify]: Extracting #7: cost 230 inf + 4160 164.954 * * [simplify]: Extracting #8: cost 162 inf + 16737 164.967 * * [simplify]: Extracting #9: cost 108 inf + 39825 164.988 * * [simplify]: Extracting #10: cost 52 inf + 60627 165.018 * * [simplify]: Extracting #11: cost 21 inf + 85471 165.059 * * [simplify]: Extracting #12: cost 1 inf + 107691 165.087 * * [simplify]: Extracting #13: cost 0 inf + 109556 165.126 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))))))))) 165.126 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 165.127 * * * * [progress]: [ 286 / 5906 ] simplifiying candidate # 165.127 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 165.128 * * [simplify]: iters left: 6 (52 enodes) 165.142 * * [simplify]: iters left: 5 (254 enodes) 165.230 * * [simplify]: Extracting #0: cost 1 inf + 0 165.230 * * [simplify]: Extracting #1: cost 3 inf + 0 165.231 * * [simplify]: Extracting #2: cost 10 inf + 0 165.231 * * [simplify]: Extracting #3: cost 74 inf + 0 165.231 * * [simplify]: Extracting #4: cost 137 inf + 1 165.232 * * [simplify]: Extracting #5: cost 196 inf + 207 165.234 * * [simplify]: Extracting #6: cost 264 inf + 3412 165.237 * * [simplify]: Extracting #7: cost 248 inf + 7791 165.246 * * [simplify]: Extracting #8: cost 139 inf + 35850 165.265 * * [simplify]: Extracting #9: cost 62 inf + 64966 165.300 * * [simplify]: Extracting #10: cost 13 inf + 107185 165.326 * * [simplify]: Extracting #11: cost 1 inf + 121022 165.378 * * [simplify]: Extracting #12: cost 0 inf + 123087 165.428 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))))))))) 165.428 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 165.429 * * * * [progress]: [ 287 / 5906 ] simplifiying candidate # 165.430 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 165.431 * * [simplify]: iters left: 6 (47 enodes) 165.445 * * [simplify]: iters left: 5 (226 enodes) 165.505 * * [simplify]: Extracting #0: cost 1 inf + 0 165.505 * * [simplify]: Extracting #1: cost 3 inf + 0 165.506 * * [simplify]: Extracting #2: cost 10 inf + 0 165.506 * * [simplify]: Extracting #3: cost 66 inf + 0 165.506 * * [simplify]: Extracting #4: cost 117 inf + 44 165.506 * * [simplify]: Extracting #5: cost 160 inf + 1144 165.507 * * [simplify]: Extracting #6: cost 234 inf + 2972 165.509 * * [simplify]: Extracting #7: cost 235 inf + 3466 165.512 * * [simplify]: Extracting #8: cost 158 inf + 21662 165.522 * * [simplify]: Extracting #9: cost 62 inf + 58049 165.536 * * [simplify]: Extracting #10: cost 17 inf + 83341 165.573 * * [simplify]: Extracting #11: cost 3 inf + 96691 165.613 * * [simplify]: Extracting #12: cost 1 inf + 100221 165.652 * * [simplify]: Extracting #13: cost 0 inf + 102006 165.673 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 165.673 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 165.674 * * * * [progress]: [ 288 / 5906 ] simplifiying candidate # 165.674 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 165.675 * * [simplify]: iters left: 6 (52 enodes) 165.700 * * [simplify]: iters left: 5 (254 enodes) 165.785 * * [simplify]: Extracting #0: cost 1 inf + 0 165.785 * * [simplify]: Extracting #1: cost 3 inf + 0 165.785 * * [simplify]: Extracting #2: cost 10 inf + 0 165.786 * * [simplify]: Extracting #3: cost 74 inf + 0 165.786 * * [simplify]: Extracting #4: cost 137 inf + 1 165.787 * * [simplify]: Extracting #5: cost 196 inf + 207 165.789 * * [simplify]: Extracting #6: cost 272 inf + 1797 165.792 * * [simplify]: Extracting #7: cost 251 inf + 6855 165.799 * * [simplify]: Extracting #8: cost 141 inf + 34946 165.809 * * [simplify]: Extracting #9: cost 63 inf + 64781 165.829 * * [simplify]: Extracting #10: cost 13 inf + 107905 165.859 * * [simplify]: Extracting #11: cost 1 inf + 121982 165.897 * * [simplify]: Extracting #12: cost 0 inf + 124047 165.929 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))))))))) 165.929 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 165.930 * * * * [progress]: [ 289 / 5906 ] simplifiying candidate # 165.930 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 165.930 * * [simplify]: iters left: 6 (47 enodes) 165.942 * * [simplify]: iters left: 5 (226 enodes) 165.998 * * [simplify]: Extracting #0: cost 1 inf + 0 165.998 * * [simplify]: Extracting #1: cost 3 inf + 0 165.998 * * [simplify]: Extracting #2: cost 10 inf + 0 165.998 * * [simplify]: Extracting #3: cost 65 inf + 0 165.998 * * [simplify]: Extracting #4: cost 116 inf + 86 165.999 * * [simplify]: Extracting #5: cost 156 inf + 1512 166.000 * * [simplify]: Extracting #6: cost 234 inf + 2932 166.001 * * [simplify]: Extracting #7: cost 232 inf + 3672 166.005 * * [simplify]: Extracting #8: cost 147 inf + 21991 166.018 * * [simplify]: Extracting #9: cost 79 inf + 45459 166.032 * * [simplify]: Extracting #10: cost 26 inf + 79238 166.054 * * [simplify]: Extracting #11: cost 3 inf + 98091 166.088 * * [simplify]: Extracting #12: cost 1 inf + 100381 166.115 * * [simplify]: Extracting #13: cost 0 inf + 102166 166.141 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 166.141 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 166.142 * * * * [progress]: [ 290 / 5906 ] simplifiying candidate # 166.142 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 166.142 * * [simplify]: iters left: 6 (52 enodes) 166.156 * * [simplify]: iters left: 5 (254 enodes) 166.236 * * [simplify]: Extracting #0: cost 1 inf + 0 166.236 * * [simplify]: Extracting #1: cost 3 inf + 0 166.237 * * [simplify]: Extracting #2: cost 6 inf + 0 166.237 * * [simplify]: Extracting #3: cost 56 inf + 0 166.237 * * [simplify]: Extracting #4: cost 130 inf + 0 166.237 * * [simplify]: Extracting #5: cost 208 inf + 0 166.238 * * [simplify]: Extracting #6: cost 299 inf + 721 166.240 * * [simplify]: Extracting #7: cost 256 inf + 10637 166.243 * * [simplify]: Extracting #8: cost 181 inf + 23442 166.250 * * [simplify]: Extracting #9: cost 107 inf + 47366 166.268 * * [simplify]: Extracting #10: cost 52 inf + 72405 166.289 * * [simplify]: Extracting #11: cost 15 inf + 108290 166.327 * * [simplify]: Extracting #12: cost 0 inf + 126825 166.378 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 166.378 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 166.379 * * * * [progress]: [ 291 / 5906 ] simplifiying candidate # 166.380 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 166.380 * * [simplify]: iters left: 6 (53 enodes) 166.406 * * [simplify]: iters left: 5 (263 enodes) 166.477 * * [simplify]: Extracting #0: cost 1 inf + 0 166.477 * * [simplify]: Extracting #1: cost 3 inf + 0 166.477 * * [simplify]: Extracting #2: cost 6 inf + 0 166.477 * * [simplify]: Extracting #3: cost 60 inf + 0 166.478 * * [simplify]: Extracting #4: cost 153 inf + 0 166.478 * * [simplify]: Extracting #5: cost 222 inf + 44 166.479 * * [simplify]: Extracting #6: cost 274 inf + 5244 166.482 * * [simplify]: Extracting #7: cost 246 inf + 11763 166.486 * * [simplify]: Extracting #8: cost 181 inf + 23115 166.492 * * [simplify]: Extracting #9: cost 124 inf + 40901 166.513 * * [simplify]: Extracting #10: cost 57 inf + 71461 166.544 * * [simplify]: Extracting #11: cost 30 inf + 95012 166.591 * * [simplify]: Extracting #12: cost 4 inf + 124742 166.639 * * [simplify]: Extracting #13: cost 0 inf + 129482 166.686 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) 166.686 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 166.687 * * * * [progress]: [ 292 / 5906 ] simplifiying candidate # 166.688 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 166.689 * * [simplify]: iters left: 6 (53 enodes) 166.711 * * [simplify]: iters left: 5 (263 enodes) 166.783 * * [simplify]: Extracting #0: cost 1 inf + 0 166.784 * * [simplify]: Extracting #1: cost 3 inf + 0 166.784 * * [simplify]: Extracting #2: cost 6 inf + 0 166.784 * * [simplify]: Extracting #3: cost 62 inf + 0 166.784 * * [simplify]: Extracting #4: cost 151 inf + 0 166.785 * * [simplify]: Extracting #5: cost 218 inf + 44 166.788 * * [simplify]: Extracting #6: cost 272 inf + 4958 166.793 * * [simplify]: Extracting #7: cost 244 inf + 11921 166.800 * * [simplify]: Extracting #8: cost 185 inf + 22137 166.814 * * [simplify]: Extracting #9: cost 113 inf + 45632 166.833 * * [simplify]: Extracting #10: cost 55 inf + 72623 166.852 * * [simplify]: Extracting #11: cost 15 inf + 110539 166.893 * * [simplify]: Extracting #12: cost 0 inf + 127154 166.918 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 166.918 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 166.919 * * * * [progress]: [ 293 / 5906 ] simplifiying candidate # 166.919 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 166.919 * * [simplify]: iters left: 6 (47 enodes) 166.942 * * [simplify]: iters left: 5 (227 enodes) 166.995 * * [simplify]: Extracting #0: cost 1 inf + 0 166.996 * * [simplify]: Extracting #1: cost 3 inf + 0 166.996 * * [simplify]: Extracting #2: cost 6 inf + 0 166.996 * * [simplify]: Extracting #3: cost 54 inf + 0 166.996 * * [simplify]: Extracting #4: cost 119 inf + 0 166.997 * * [simplify]: Extracting #5: cost 166 inf + 44 166.998 * * [simplify]: Extracting #6: cost 238 inf + 1557 167.001 * * [simplify]: Extracting #7: cost 228 inf + 3714 167.008 * * [simplify]: Extracting #8: cost 147 inf + 22344 167.025 * * [simplify]: Extracting #9: cost 67 inf + 50788 167.050 * * [simplify]: Extracting #10: cost 26 inf + 74963 167.078 * * [simplify]: Extracting #11: cost 3 inf + 99778 167.103 * * [simplify]: Extracting #12: cost 1 inf + 103468 167.148 * * [simplify]: Extracting #13: cost 0 inf + 105333 167.191 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (+ phi2 phi1))) (+ phi2 phi1)))) 167.191 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (+ phi2 phi1))) (+ phi2 phi1)))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 167.192 * * * * [progress]: [ 294 / 5906 ] simplifiying candidate # 167.193 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 167.194 * * [simplify]: iters left: 6 (52 enodes) 167.220 * * [simplify]: iters left: 5 (255 enodes) 167.325 * * [simplify]: Extracting #0: cost 1 inf + 0 167.325 * * [simplify]: Extracting #1: cost 3 inf + 0 167.326 * * [simplify]: Extracting #2: cost 10 inf + 0 167.326 * * [simplify]: Extracting #3: cost 74 inf + 0 167.326 * * [simplify]: Extracting #4: cost 137 inf + 1 167.327 * * [simplify]: Extracting #5: cost 187 inf + 248 167.330 * * [simplify]: Extracting #6: cost 264 inf + 2322 167.333 * * [simplify]: Extracting #7: cost 242 inf + 8473 167.339 * * [simplify]: Extracting #8: cost 172 inf + 21162 167.353 * * [simplify]: Extracting #9: cost 110 inf + 42195 167.377 * * [simplify]: Extracting #10: cost 56 inf + 65746 167.391 * * [simplify]: Extracting #11: cost 28 inf + 84284 167.424 * * [simplify]: Extracting #12: cost 3 inf + 112389 167.462 * * [simplify]: Extracting #13: cost 0 inf + 118304 167.495 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 167.495 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 167.496 * * * * [progress]: [ 295 / 5906 ] simplifiying candidate # 167.496 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 167.497 * * [simplify]: iters left: 6 (47 enodes) 167.522 * * [simplify]: iters left: 5 (227 enodes) 167.576 * * [simplify]: Extracting #0: cost 1 inf + 0 167.576 * * [simplify]: Extracting #1: cost 3 inf + 0 167.576 * * [simplify]: Extracting #2: cost 10 inf + 0 167.576 * * [simplify]: Extracting #3: cost 66 inf + 0 167.576 * * [simplify]: Extracting #4: cost 117 inf + 44 167.577 * * [simplify]: Extracting #5: cost 148 inf + 1752 167.578 * * [simplify]: Extracting #6: cost 228 inf + 2972 167.579 * * [simplify]: Extracting #7: cost 229 inf + 3667 167.582 * * [simplify]: Extracting #8: cost 156 inf + 19478 167.590 * * [simplify]: Extracting #9: cost 67 inf + 49788 167.610 * * [simplify]: Extracting #10: cost 13 inf + 88225 167.629 * * [simplify]: Extracting #11: cost 1 inf + 97438 167.659 * * [simplify]: Extracting #12: cost 0 inf + 98983 167.687 * * [simplify]: Extracting #13: cost 0 inf + 98903 167.708 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) 167.708 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 167.708 * * * * [progress]: [ 296 / 5906 ] simplifiying candidate # 167.709 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 167.709 * * [simplify]: iters left: 6 (52 enodes) 167.724 * * [simplify]: iters left: 5 (255 enodes) 167.792 * * [simplify]: Extracting #0: cost 1 inf + 0 167.792 * * [simplify]: Extracting #1: cost 3 inf + 0 167.792 * * [simplify]: Extracting #2: cost 10 inf + 0 167.792 * * [simplify]: Extracting #3: cost 74 inf + 0 167.793 * * [simplify]: Extracting #4: cost 137 inf + 1 167.794 * * [simplify]: Extracting #5: cost 187 inf + 248 167.795 * * [simplify]: Extracting #6: cost 268 inf + 1313 167.799 * * [simplify]: Extracting #7: cost 250 inf + 5885 167.805 * * [simplify]: Extracting #8: cost 189 inf + 17036 167.816 * * [simplify]: Extracting #9: cost 116 inf + 39961 167.838 * * [simplify]: Extracting #10: cost 58 inf + 65580 167.852 * * [simplify]: Extracting #11: cost 28 inf + 85404 167.874 * * [simplify]: Extracting #12: cost 4 inf + 112444 167.912 * * [simplify]: Extracting #13: cost 0 inf + 119424 167.944 * [simplify]: Simplified to (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 167.944 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 167.945 * * * * [progress]: [ 297 / 5906 ] simplifiying candidate # 167.945 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 167.945 * * [simplify]: iters left: 6 (47 enodes) 167.958 * * [simplify]: iters left: 5 (227 enodes) 168.031 * * [simplify]: Extracting #0: cost 1 inf + 0 168.031 * * [simplify]: Extracting #1: cost 3 inf + 0 168.031 * * [simplify]: Extracting #2: cost 10 inf + 0 168.031 * * [simplify]: Extracting #3: cost 65 inf + 0 168.032 * * [simplify]: Extracting #4: cost 117 inf + 44 168.033 * * [simplify]: Extracting #5: cost 155 inf + 658 168.035 * * [simplify]: Extracting #6: cost 229 inf + 2770 168.037 * * [simplify]: Extracting #7: cost 230 inf + 3505 168.042 * * [simplify]: Extracting #8: cost 182 inf + 11284 168.051 * * [simplify]: Extracting #9: cost 112 inf + 31638 168.074 * * [simplify]: Extracting #10: cost 39 inf + 64225 168.106 * * [simplify]: Extracting #11: cost 10 inf + 88293 168.145 * * [simplify]: Extracting #12: cost 1 inf + 97678 168.170 * * [simplify]: Extracting #13: cost 0 inf + 99383 168.197 * * [simplify]: Extracting #14: cost 0 inf + 99303 168.236 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 168.236 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 168.237 * * * * [progress]: [ 298 / 5906 ] simplifiying candidate # 168.238 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 168.238 * * [simplify]: iters left: 6 (45 enodes) 168.265 * * [simplify]: iters left: 5 (217 enodes) 168.335 * * [simplify]: Extracting #0: cost 1 inf + 0 168.335 * * [simplify]: Extracting #1: cost 3 inf + 0 168.335 * * [simplify]: Extracting #2: cost 6 inf + 0 168.335 * * [simplify]: Extracting #3: cost 54 inf + 0 168.336 * * [simplify]: Extracting #4: cost 120 inf + 0 168.337 * * [simplify]: Extracting #5: cost 187 inf + 0 168.338 * * [simplify]: Extracting #6: cost 250 inf + 291 168.340 * * [simplify]: Extracting #7: cost 221 inf + 6916 168.348 * * [simplify]: Extracting #8: cost 123 inf + 29329 168.367 * * [simplify]: Extracting #9: cost 61 inf + 52525 168.400 * * [simplify]: Extracting #10: cost 8 inf + 96003 168.439 * * [simplify]: Extracting #11: cost 0 inf + 104003 168.479 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) 168.479 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 168.480 * * * * [progress]: [ 299 / 5906 ] simplifiying candidate # 168.481 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 168.481 * * [simplify]: iters left: 6 (46 enodes) 168.504 * * [simplify]: iters left: 5 (226 enodes) 168.577 * * [simplify]: Extracting #0: cost 1 inf + 0 168.577 * * [simplify]: Extracting #1: cost 3 inf + 0 168.577 * * [simplify]: Extracting #2: cost 6 inf + 0 168.577 * * [simplify]: Extracting #3: cost 58 inf + 0 168.578 * * [simplify]: Extracting #4: cost 143 inf + 0 168.578 * * [simplify]: Extracting #5: cost 200 inf + 126 168.579 * * [simplify]: Extracting #6: cost 246 inf + 4196 168.581 * * [simplify]: Extracting #7: cost 205 inf + 11960 168.585 * * [simplify]: Extracting #8: cost 148 inf + 22764 168.597 * * [simplify]: Extracting #9: cost 96 inf + 39431 168.619 * * [simplify]: Extracting #10: cost 47 inf + 63990 168.656 * * [simplify]: Extracting #11: cost 2 inf + 105810 168.701 * * [simplify]: Extracting #12: cost 0 inf + 108380 168.726 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 168.726 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 168.727 * * * * [progress]: [ 300 / 5906 ] simplifiying candidate # 168.727 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 168.728 * * [simplify]: iters left: 6 (46 enodes) 168.752 * * [simplify]: iters left: 5 (226 enodes) 168.820 * * [simplify]: Extracting #0: cost 1 inf + 0 168.820 * * [simplify]: Extracting #1: cost 3 inf + 0 168.820 * * [simplify]: Extracting #2: cost 6 inf + 0 168.820 * * [simplify]: Extracting #3: cost 60 inf + 0 168.821 * * [simplify]: Extracting #4: cost 141 inf + 0 168.821 * * [simplify]: Extracting #5: cost 196 inf + 126 168.822 * * [simplify]: Extracting #6: cost 241 inf + 3436 168.824 * * [simplify]: Extracting #7: cost 206 inf + 12349 168.831 * * [simplify]: Extracting #8: cost 146 inf + 23887 168.844 * * [simplify]: Extracting #9: cost 90 inf + 41572 168.865 * * [simplify]: Extracting #10: cost 46 inf + 63502 168.899 * * [simplify]: Extracting #11: cost 5 inf + 98927 168.940 * * [simplify]: Extracting #12: cost 1 inf + 104307 168.987 * * [simplify]: Extracting #13: cost 0 inf + 106132 169.029 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 169.029 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 169.030 * * * * [progress]: [ 301 / 5906 ] simplifiying candidate # 169.030 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 169.031 * * [simplify]: iters left: 6 (40 enodes) 169.041 * * [simplify]: iters left: 5 (190 enodes) 169.090 * * [simplify]: Extracting #0: cost 1 inf + 0 169.090 * * [simplify]: Extracting #1: cost 3 inf + 0 169.090 * * [simplify]: Extracting #2: cost 6 inf + 0 169.090 * * [simplify]: Extracting #3: cost 52 inf + 0 169.090 * * [simplify]: Extracting #4: cost 109 inf + 0 169.091 * * [simplify]: Extracting #5: cost 145 inf + 44 169.092 * * [simplify]: Extracting #6: cost 190 inf + 1761 169.094 * * [simplify]: Extracting #7: cost 187 inf + 3185 169.099 * * [simplify]: Extracting #8: cost 128 inf + 17964 169.113 * * [simplify]: Extracting #9: cost 63 inf + 42680 169.136 * * [simplify]: Extracting #10: cost 13 inf + 71959 169.166 * * [simplify]: Extracting #11: cost 2 inf + 80021 169.195 * * [simplify]: Extracting #12: cost 0 inf + 83031 169.218 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))))) 169.218 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 169.219 * * * * [progress]: [ 302 / 5906 ] simplifiying candidate # 169.219 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 169.219 * * [simplify]: iters left: 6 (45 enodes) 169.233 * * [simplify]: iters left: 5 (218 enodes) 169.277 * * [simplify]: Extracting #0: cost 1 inf + 0 169.277 * * [simplify]: Extracting #1: cost 3 inf + 0 169.277 * * [simplify]: Extracting #2: cost 10 inf + 0 169.277 * * [simplify]: Extracting #3: cost 72 inf + 0 169.278 * * [simplify]: Extracting #4: cost 127 inf + 1 169.278 * * [simplify]: Extracting #5: cost 166 inf + 289 169.279 * * [simplify]: Extracting #6: cost 225 inf + 1288 169.280 * * [simplify]: Extracting #7: cost 204 inf + 7460 169.285 * * [simplify]: Extracting #8: cost 145 inf + 20844 169.299 * * [simplify]: Extracting #9: cost 60 inf + 48402 169.320 * * [simplify]: Extracting #10: cost 21 inf + 77060 169.340 * * [simplify]: Extracting #11: cost 2 inf + 96952 169.364 * * [simplify]: Extracting #12: cost 0 inf + 99642 169.386 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) 169.386 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 169.387 * * * * [progress]: [ 303 / 5906 ] simplifiying candidate # 169.387 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 169.387 * * [simplify]: iters left: 6 (40 enodes) 169.397 * * [simplify]: iters left: 5 (190 enodes) 169.458 * * [simplify]: Extracting #0: cost 1 inf + 0 169.459 * * [simplify]: Extracting #1: cost 3 inf + 0 169.459 * * [simplify]: Extracting #2: cost 10 inf + 0 169.459 * * [simplify]: Extracting #3: cost 64 inf + 0 169.459 * * [simplify]: Extracting #4: cost 106 inf + 86 169.459 * * [simplify]: Extracting #5: cost 124 inf + 1958 169.460 * * [simplify]: Extracting #6: cost 181 inf + 2932 169.461 * * [simplify]: Extracting #7: cost 184 inf + 3265 169.464 * * [simplify]: Extracting #8: cost 113 inf + 18730 169.472 * * [simplify]: Extracting #9: cost 46 inf + 48155 169.487 * * [simplify]: Extracting #10: cost 12 inf + 74157 169.504 * * [simplify]: Extracting #11: cost 0 inf + 80201 169.533 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1)))))) 169.533 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 169.534 * * * * [progress]: [ 304 / 5906 ] simplifiying candidate # 169.534 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 169.535 * * [simplify]: iters left: 6 (45 enodes) 169.562 * * [simplify]: iters left: 5 (218 enodes) 169.625 * * [simplify]: Extracting #0: cost 1 inf + 0 169.625 * * [simplify]: Extracting #1: cost 3 inf + 0 169.625 * * [simplify]: Extracting #2: cost 10 inf + 0 169.625 * * [simplify]: Extracting #3: cost 72 inf + 0 169.625 * * [simplify]: Extracting #4: cost 127 inf + 1 169.626 * * [simplify]: Extracting #5: cost 166 inf + 289 169.627 * * [simplify]: Extracting #6: cost 224 inf + 1401 169.628 * * [simplify]: Extracting #7: cost 201 inf + 9124 169.631 * * [simplify]: Extracting #8: cost 148 inf + 20007 169.638 * * [simplify]: Extracting #9: cost 62 inf + 47152 169.652 * * [simplify]: Extracting #10: cost 21 inf + 78020 169.674 * * [simplify]: Extracting #11: cost 2 inf + 97912 169.703 * * [simplify]: Extracting #12: cost 0 inf + 100602 169.742 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) 169.742 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 169.743 * * * * [progress]: [ 305 / 5906 ] simplifiying candidate # 169.743 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 169.744 * * [simplify]: iters left: 6 (40 enodes) 169.756 * * [simplify]: iters left: 5 (190 enodes) 169.796 * * [simplify]: Extracting #0: cost 1 inf + 0 169.796 * * [simplify]: Extracting #1: cost 3 inf + 0 169.796 * * [simplify]: Extracting #2: cost 10 inf + 0 169.797 * * [simplify]: Extracting #3: cost 63 inf + 0 169.797 * * [simplify]: Extracting #4: cost 106 inf + 86 169.797 * * [simplify]: Extracting #5: cost 126 inf + 1675 169.798 * * [simplify]: Extracting #6: cost 183 inf + 2689 169.799 * * [simplify]: Extracting #7: cost 184 inf + 3265 169.802 * * [simplify]: Extracting #8: cost 113 inf + 19013 169.813 * * [simplify]: Extracting #9: cost 47 inf + 47872 169.830 * * [simplify]: Extracting #10: cost 13 inf + 70517 169.847 * * [simplify]: Extracting #11: cost 0 inf + 80961 169.864 * * [simplify]: Extracting #12: cost 0 inf + 80601 169.892 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1)))))) 169.893 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 169.894 * * * * [progress]: [ 306 / 5906 ] simplifiying candidate # 169.895 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 169.896 * * [simplify]: iters left: 6 (51 enodes) 169.909 * * [simplify]: iters left: 5 (244 enodes) 169.974 * * [simplify]: Extracting #0: cost 1 inf + 0 169.974 * * [simplify]: Extracting #1: cost 3 inf + 0 169.974 * * [simplify]: Extracting #2: cost 6 inf + 0 169.974 * * [simplify]: Extracting #3: cost 56 inf + 0 169.975 * * [simplify]: Extracting #4: cost 130 inf + 0 169.975 * * [simplify]: Extracting #5: cost 206 inf + 0 169.976 * * [simplify]: Extracting #6: cost 278 inf + 1052 169.981 * * [simplify]: Extracting #7: cost 191 inf + 18478 169.987 * * [simplify]: Extracting #8: cost 130 inf + 38357 170.003 * * [simplify]: Extracting #9: cost 95 inf + 51854 170.024 * * [simplify]: Extracting #10: cost 56 inf + 65073 170.049 * * [simplify]: Extracting #11: cost 34 inf + 80783 170.071 * * [simplify]: Extracting #12: cost 5 inf + 114708 170.107 * * [simplify]: Extracting #13: cost 0 inf + 123113 170.155 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 170.155 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 170.156 * * * * [progress]: [ 307 / 5906 ] simplifiying candidate # 170.156 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 170.157 * * [simplify]: iters left: 6 (52 enodes) 170.170 * * [simplify]: iters left: 5 (253 enodes) 170.269 * * [simplify]: Extracting #0: cost 1 inf + 0 170.269 * * [simplify]: Extracting #1: cost 3 inf + 0 170.269 * * [simplify]: Extracting #2: cost 6 inf + 0 170.269 * * [simplify]: Extracting #3: cost 60 inf + 0 170.270 * * [simplify]: Extracting #4: cost 153 inf + 0 170.271 * * [simplify]: Extracting #5: cost 220 inf + 44 170.274 * * [simplify]: Extracting #6: cost 249 inf + 6384 170.281 * * [simplify]: Extracting #7: cost 192 inf + 16867 170.291 * * [simplify]: Extracting #8: cost 133 inf + 35343 170.304 * * [simplify]: Extracting #9: cost 55 inf + 69083 170.325 * * [simplify]: Extracting #10: cost 33 inf + 85105 170.360 * * [simplify]: Extracting #11: cost 2 inf + 121520 170.391 * * [simplify]: Extracting #12: cost 1 inf + 123585 170.440 * * [simplify]: Extracting #13: cost 0 inf + 125650 170.488 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ lambda2 lambda1))))) 170.488 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ lambda2 lambda1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 170.489 * * * * [progress]: [ 308 / 5906 ] simplifiying candidate # 170.489 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 170.490 * * [simplify]: iters left: 6 (52 enodes) 170.507 * * [simplify]: iters left: 5 (253 enodes) 170.574 * * [simplify]: Extracting #0: cost 1 inf + 0 170.574 * * [simplify]: Extracting #1: cost 3 inf + 0 170.574 * * [simplify]: Extracting #2: cost 6 inf + 0 170.574 * * [simplify]: Extracting #3: cost 62 inf + 0 170.574 * * [simplify]: Extracting #4: cost 151 inf + 0 170.575 * * [simplify]: Extracting #5: cost 215 inf + 86 170.576 * * [simplify]: Extracting #6: cost 250 inf + 5576 170.583 * * [simplify]: Extracting #7: cost 197 inf + 15049 170.593 * * [simplify]: Extracting #8: cost 139 inf + 32493 170.614 * * [simplify]: Extracting #9: cost 69 inf + 61586 170.638 * * [simplify]: Extracting #10: cost 48 inf + 72042 170.678 * * [simplify]: Extracting #11: cost 14 inf + 106452 170.722 * * [simplify]: Extracting #12: cost 1 inf + 122377 170.747 * * [simplify]: Extracting #13: cost 0 inf + 124482 170.778 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ lambda2 lambda1))))) 170.778 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ lambda2 lambda1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 170.779 * * * * [progress]: [ 309 / 5906 ] simplifiying candidate # 170.779 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 170.779 * * [simplify]: iters left: 6 (46 enodes) 170.791 * * [simplify]: iters left: 5 (217 enodes) 170.841 * * [simplify]: Extracting #0: cost 1 inf + 0 170.841 * * [simplify]: Extracting #1: cost 3 inf + 0 170.841 * * [simplify]: Extracting #2: cost 6 inf + 0 170.841 * * [simplify]: Extracting #3: cost 54 inf + 0 170.842 * * [simplify]: Extracting #4: cost 119 inf + 0 170.843 * * [simplify]: Extracting #5: cost 164 inf + 44 170.844 * * [simplify]: Extracting #6: cost 223 inf + 1359 170.847 * * [simplify]: Extracting #7: cost 210 inf + 3480 170.852 * * [simplify]: Extracting #8: cost 157 inf + 13668 170.859 * * [simplify]: Extracting #9: cost 101 inf + 36613 170.868 * * [simplify]: Extracting #10: cost 47 inf + 56543 170.882 * * [simplify]: Extracting #11: cost 28 inf + 69041 170.901 * * [simplify]: Extracting #12: cost 2 inf + 98691 170.925 * * [simplify]: Extracting #13: cost 0 inf + 102381 170.960 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 170.960 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 170.960 * * * * [progress]: [ 310 / 5906 ] simplifiying candidate # 170.961 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 170.961 * * [simplify]: iters left: 6 (51 enodes) 170.973 * * [simplify]: iters left: 5 (245 enodes) 171.037 * * [simplify]: Extracting #0: cost 1 inf + 0 171.037 * * [simplify]: Extracting #1: cost 3 inf + 0 171.037 * * [simplify]: Extracting #2: cost 10 inf + 0 171.037 * * [simplify]: Extracting #3: cost 74 inf + 0 171.038 * * [simplify]: Extracting #4: cost 137 inf + 1 171.038 * * [simplify]: Extracting #5: cost 185 inf + 249 171.039 * * [simplify]: Extracting #6: cost 241 inf + 2417 171.042 * * [simplify]: Extracting #7: cost 170 inf + 22038 171.050 * * [simplify]: Extracting #8: cost 95 inf + 49305 171.061 * * [simplify]: Extracting #9: cost 50 inf + 65662 171.096 * * [simplify]: Extracting #10: cost 8 inf + 103072 171.141 * * [simplify]: Extracting #11: cost 1 inf + 114127 171.187 * * [simplify]: Extracting #12: cost 0 inf + 116152 171.231 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 171.231 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 171.232 * * * * [progress]: [ 311 / 5906 ] simplifiying candidate # 171.232 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 171.232 * * [simplify]: iters left: 6 (46 enodes) 171.245 * * [simplify]: iters left: 5 (217 enodes) 171.308 * * [simplify]: Extracting #0: cost 1 inf + 0 171.309 * * [simplify]: Extracting #1: cost 3 inf + 0 171.309 * * [simplify]: Extracting #2: cost 10 inf + 0 171.309 * * [simplify]: Extracting #3: cost 66 inf + 0 171.309 * * [simplify]: Extracting #4: cost 117 inf + 44 171.309 * * [simplify]: Extracting #5: cost 149 inf + 1066 171.310 * * [simplify]: Extracting #6: cost 206 inf + 3546 171.313 * * [simplify]: Extracting #7: cost 155 inf + 14390 171.318 * * [simplify]: Extracting #8: cost 124 inf + 27962 171.325 * * [simplify]: Extracting #9: cost 82 inf + 44551 171.335 * * [simplify]: Extracting #10: cost 37 inf + 61279 171.352 * * [simplify]: Extracting #11: cost 5 inf + 90506 171.374 * * [simplify]: Extracting #12: cost 0 inf + 96111 171.393 * * [simplify]: Extracting #13: cost 0 inf + 96071 171.413 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))))) 171.413 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 171.413 * * * * [progress]: [ 312 / 5906 ] simplifiying candidate # 171.414 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 171.414 * * [simplify]: iters left: 6 (51 enodes) 171.427 * * [simplify]: iters left: 5 (245 enodes) 171.521 * * [simplify]: Extracting #0: cost 1 inf + 0 171.521 * * [simplify]: Extracting #1: cost 3 inf + 0 171.521 * * [simplify]: Extracting #2: cost 10 inf + 0 171.521 * * [simplify]: Extracting #3: cost 74 inf + 0 171.522 * * [simplify]: Extracting #4: cost 137 inf + 1 171.523 * * [simplify]: Extracting #5: cost 186 inf + 207 171.524 * * [simplify]: Extracting #6: cost 240 inf + 2739 171.530 * * [simplify]: Extracting #7: cost 165 inf + 24174 171.538 * * [simplify]: Extracting #8: cost 99 inf + 48036 171.548 * * [simplify]: Extracting #9: cost 53 inf + 64467 171.569 * * [simplify]: Extracting #10: cost 23 inf + 87657 171.612 * * [simplify]: Extracting #11: cost 2 inf + 111822 171.657 * * [simplify]: Extracting #12: cost 0 inf + 114792 171.702 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 171.703 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 171.704 * * * * [progress]: [ 313 / 5906 ] simplifiying candidate # 171.704 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 171.705 * * [simplify]: iters left: 6 (46 enodes) 171.732 * * [simplify]: iters left: 5 (217 enodes) 171.790 * * [simplify]: Extracting #0: cost 1 inf + 0 171.790 * * [simplify]: Extracting #1: cost 3 inf + 0 171.790 * * [simplify]: Extracting #2: cost 10 inf + 0 171.791 * * [simplify]: Extracting #3: cost 65 inf + 0 171.791 * * [simplify]: Extracting #4: cost 117 inf + 44 171.792 * * [simplify]: Extracting #5: cost 150 inf + 904 171.794 * * [simplify]: Extracting #6: cost 210 inf + 3138 171.797 * * [simplify]: Extracting #7: cost 187 inf + 7682 171.803 * * [simplify]: Extracting #8: cost 149 inf + 15725 171.815 * * [simplify]: Extracting #9: cost 96 inf + 37228 171.834 * * [simplify]: Extracting #10: cost 45 inf + 57256 171.861 * * [simplify]: Extracting #11: cost 14 inf + 83081 171.897 * * [simplify]: Extracting #12: cost 0 inf + 96751 171.938 * * [simplify]: Extracting #13: cost 0 inf + 96471 171.975 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))))) 171.975 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 171.976 * * * * [progress]: [ 314 / 5906 ] simplifiying candidate # 171.977 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 171.977 * * [simplify]: iters left: 6 (47 enodes) 172.001 * * [simplify]: iters left: 5 (226 enodes) 172.064 * * [simplify]: Extracting #0: cost 1 inf + 0 172.064 * * [simplify]: Extracting #1: cost 3 inf + 0 172.064 * * [simplify]: Extracting #2: cost 6 inf + 0 172.064 * * [simplify]: Extracting #3: cost 54 inf + 0 172.064 * * [simplify]: Extracting #4: cost 123 inf + 0 172.065 * * [simplify]: Extracting #5: cost 188 inf + 0 172.066 * * [simplify]: Extracting #6: cost 254 inf + 1138 172.069 * * [simplify]: Extracting #7: cost 225 inf + 8197 172.075 * * [simplify]: Extracting #8: cost 162 inf + 19377 172.085 * * [simplify]: Extracting #9: cost 107 inf + 33049 172.102 * * [simplify]: Extracting #10: cost 63 inf + 52537 172.128 * * [simplify]: Extracting #11: cost 36 inf + 71575 172.153 * * [simplify]: Extracting #12: cost 4 inf + 101375 172.177 * * [simplify]: Extracting #13: cost 1 inf + 105730 172.204 * * [simplify]: Extracting #14: cost 0 inf + 107435 172.239 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) 172.239 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 172.240 * * * * [progress]: [ 315 / 5906 ] simplifiying candidate # 172.241 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 172.241 * * [simplify]: iters left: 6 (48 enodes) 172.266 * * [simplify]: iters left: 5 (235 enodes) 172.338 * * [simplify]: Extracting #0: cost 1 inf + 0 172.338 * * [simplify]: Extracting #1: cost 3 inf + 0 172.338 * * [simplify]: Extracting #2: cost 6 inf + 0 172.338 * * [simplify]: Extracting #3: cost 58 inf + 0 172.339 * * [simplify]: Extracting #4: cost 146 inf + 0 172.340 * * [simplify]: Extracting #5: cost 196 inf + 454 172.342 * * [simplify]: Extracting #6: cost 236 inf + 4359 172.346 * * [simplify]: Extracting #7: cost 215 inf + 10410 172.353 * * [simplify]: Extracting #8: cost 168 inf + 20156 172.363 * * [simplify]: Extracting #9: cost 105 inf + 38085 172.384 * * [simplify]: Extracting #10: cost 51 inf + 64562 172.419 * * [simplify]: Extracting #11: cost 8 inf + 103652 172.443 * * [simplify]: Extracting #12: cost 0 inf + 110612 172.468 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 172.468 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 172.469 * * * * [progress]: [ 316 / 5906 ] simplifiying candidate # 172.469 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 172.469 * * [simplify]: iters left: 6 (48 enodes) 172.481 * * [simplify]: iters left: 5 (235 enodes) 172.554 * * [simplify]: Extracting #0: cost 1 inf + 0 172.554 * * [simplify]: Extracting #1: cost 3 inf + 0 172.554 * * [simplify]: Extracting #2: cost 6 inf + 0 172.554 * * [simplify]: Extracting #3: cost 60 inf + 0 172.555 * * [simplify]: Extracting #4: cost 144 inf + 0 172.556 * * [simplify]: Extracting #5: cost 193 inf + 332 172.558 * * [simplify]: Extracting #6: cost 234 inf + 4155 172.563 * * [simplify]: Extracting #7: cost 214 inf + 10175 172.569 * * [simplify]: Extracting #8: cost 175 inf + 16809 172.581 * * [simplify]: Extracting #9: cost 103 inf + 38781 172.605 * * [simplify]: Extracting #10: cost 41 inf + 70910 172.639 * * [simplify]: Extracting #11: cost 5 inf + 103679 172.661 * * [simplify]: Extracting #12: cost 0 inf + 108284 172.692 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 172.692 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 172.692 * * * * [progress]: [ 317 / 5906 ] simplifiying candidate # 172.693 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 172.693 * * [simplify]: iters left: 6 (42 enodes) 172.704 * * [simplify]: iters left: 5 (199 enodes) 172.752 * * [simplify]: Extracting #0: cost 1 inf + 0 172.752 * * [simplify]: Extracting #1: cost 3 inf + 0 172.752 * * [simplify]: Extracting #2: cost 6 inf + 0 172.752 * * [simplify]: Extracting #3: cost 55 inf + 0 172.753 * * [simplify]: Extracting #4: cost 117 inf + 0 172.753 * * [simplify]: Extracting #5: cost 151 inf + 44 172.755 * * [simplify]: Extracting #6: cost 207 inf + 1072 172.757 * * [simplify]: Extracting #7: cost 202 inf + 2939 172.760 * * [simplify]: Extracting #8: cost 167 inf + 7805 172.769 * * [simplify]: Extracting #9: cost 109 inf + 28016 172.802 * * [simplify]: Extracting #10: cost 12 inf + 84509 172.838 * * [simplify]: Extracting #11: cost 0 inf + 91628 172.876 * * [simplify]: Extracting #12: cost 0 inf + 91348 172.909 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (cbrt (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))))))) 172.910 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (cbrt (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 172.910 * * * * [progress]: [ 318 / 5906 ] simplifiying candidate # 172.910 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 172.911 * * [simplify]: iters left: 6 (47 enodes) 172.923 * * [simplify]: iters left: 5 (227 enodes) 172.999 * * [simplify]: Extracting #0: cost 1 inf + 0 172.999 * * [simplify]: Extracting #1: cost 3 inf + 0 172.999 * * [simplify]: Extracting #2: cost 10 inf + 0 172.999 * * [simplify]: Extracting #3: cost 72 inf + 0 172.999 * * [simplify]: Extracting #4: cost 129 inf + 42 173.000 * * [simplify]: Extracting #5: cost 165 inf + 331 173.001 * * [simplify]: Extracting #6: cost 219 inf + 2729 173.003 * * [simplify]: Extracting #7: cost 206 inf + 7195 173.006 * * [simplify]: Extracting #8: cost 139 inf + 22194 173.014 * * [simplify]: Extracting #9: cost 69 inf + 47424 173.026 * * [simplify]: Extracting #10: cost 34 inf + 69388 173.044 * * [simplify]: Extracting #11: cost 5 inf + 94789 173.067 * * [simplify]: Extracting #12: cost 1 inf + 101529 173.092 * * [simplify]: Extracting #13: cost 0 inf + 103274 173.132 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2)))))))))) 173.132 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 173.133 * * * * [progress]: [ 319 / 5906 ] simplifiying candidate # 173.133 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 173.134 * * [simplify]: iters left: 6 (42 enodes) 173.155 * * [simplify]: iters left: 5 (199 enodes) 173.212 * * [simplify]: Extracting #0: cost 1 inf + 0 173.212 * * [simplify]: Extracting #1: cost 3 inf + 0 173.212 * * [simplify]: Extracting #2: cost 10 inf + 0 173.212 * * [simplify]: Extracting #3: cost 67 inf + 0 173.213 * * [simplify]: Extracting #4: cost 121 inf + 86 173.213 * * [simplify]: Extracting #5: cost 139 inf + 1554 173.214 * * [simplify]: Extracting #6: cost 200 inf + 2932 173.215 * * [simplify]: Extracting #7: cost 206 inf + 3100 173.222 * * [simplify]: Extracting #8: cost 121 inf + 26079 173.250 * * [simplify]: Extracting #9: cost 29 inf + 75307 173.287 * * [simplify]: Extracting #10: cost 4 inf + 90063 173.318 * * [simplify]: Extracting #11: cost 0 inf + 91413 173.339 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))))))) 173.339 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 173.340 * * * * [progress]: [ 320 / 5906 ] simplifiying candidate # 173.340 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 173.341 * * [simplify]: iters left: 6 (47 enodes) 173.365 * * [simplify]: iters left: 5 (227 enodes) 173.431 * * [simplify]: Extracting #0: cost 1 inf + 0 173.431 * * [simplify]: Extracting #1: cost 3 inf + 0 173.432 * * [simplify]: Extracting #2: cost 10 inf + 0 173.432 * * [simplify]: Extracting #3: cost 72 inf + 0 173.432 * * [simplify]: Extracting #4: cost 129 inf + 42 173.433 * * [simplify]: Extracting #5: cost 164 inf + 494 173.436 * * [simplify]: Extracting #6: cost 213 inf + 4061 173.439 * * [simplify]: Extracting #7: cost 210 inf + 5794 173.445 * * [simplify]: Extracting #8: cost 139 inf + 23124 173.465 * * [simplify]: Extracting #9: cost 66 inf + 50677 173.488 * * [simplify]: Extracting #10: cost 34 inf + 73368 173.514 * * [simplify]: Extracting #11: cost 5 inf + 101624 173.537 * * [simplify]: Extracting #12: cost 1 inf + 102413 173.576 * * [simplify]: Extracting #13: cost 0 inf + 103245 173.615 * * [simplify]: Extracting #14: cost 0 inf + 102954 173.656 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) 173.656 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 173.657 * * * * [progress]: [ 321 / 5906 ] simplifiying candidate # 173.658 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 173.658 * * [simplify]: iters left: 6 (42 enodes) 173.681 * * [simplify]: iters left: 5 (199 enodes) 173.757 * * [simplify]: Extracting #0: cost 1 inf + 0 173.757 * * [simplify]: Extracting #1: cost 3 inf + 0 173.758 * * [simplify]: Extracting #2: cost 10 inf + 0 173.758 * * [simplify]: Extracting #3: cost 66 inf + 0 173.758 * * [simplify]: Extracting #4: cost 122 inf + 44 173.759 * * [simplify]: Extracting #5: cost 145 inf + 782 173.761 * * [simplify]: Extracting #6: cost 201 inf + 2770 173.763 * * [simplify]: Extracting #7: cost 205 inf + 3141 173.771 * * [simplify]: Extracting #8: cost 121 inf + 26183 173.802 * * [simplify]: Extracting #9: cost 33 inf + 74232 173.835 * * [simplify]: Extracting #10: cost 5 inf + 89979 173.868 * * [simplify]: Extracting #11: cost 0 inf + 91813 173.901 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))))))) 173.901 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 173.902 * * * * [progress]: [ 322 / 5906 ] simplifiying candidate # 173.903 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 173.903 * * [simplify]: iters left: 6 (51 enodes) 173.926 * * [simplify]: iters left: 5 (244 enodes) 173.986 * * [simplify]: Extracting #0: cost 1 inf + 0 173.986 * * [simplify]: Extracting #1: cost 3 inf + 0 173.986 * * [simplify]: Extracting #2: cost 6 inf + 0 173.986 * * [simplify]: Extracting #3: cost 56 inf + 0 173.987 * * [simplify]: Extracting #4: cost 130 inf + 0 173.987 * * [simplify]: Extracting #5: cost 207 inf + 0 173.988 * * [simplify]: Extracting #6: cost 276 inf + 1476 173.990 * * [simplify]: Extracting #7: cost 195 inf + 16446 173.997 * * [simplify]: Extracting #8: cost 132 inf + 38980 174.005 * * [simplify]: Extracting #9: cost 94 inf + 51694 174.019 * * [simplify]: Extracting #10: cost 55 inf + 65498 174.048 * * [simplify]: Extracting #11: cost 34 inf + 80703 174.087 * * [simplify]: Extracting #12: cost 5 inf + 114708 174.118 * * [simplify]: Extracting #13: cost 0 inf + 123113 174.150 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 174.150 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 174.151 * * * * [progress]: [ 323 / 5906 ] simplifiying candidate # 174.151 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 174.152 * * [simplify]: iters left: 6 (52 enodes) 174.178 * * [simplify]: iters left: 5 (253 enodes) 174.252 * * [simplify]: Extracting #0: cost 1 inf + 0 174.252 * * [simplify]: Extracting #1: cost 3 inf + 0 174.252 * * [simplify]: Extracting #2: cost 6 inf + 0 174.252 * * [simplify]: Extracting #3: cost 60 inf + 0 174.253 * * [simplify]: Extracting #4: cost 153 inf + 0 174.253 * * [simplify]: Extracting #5: cost 221 inf + 44 174.255 * * [simplify]: Extracting #6: cost 250 inf + 6142 174.258 * * [simplify]: Extracting #7: cost 193 inf + 16665 174.264 * * [simplify]: Extracting #8: cost 130 inf + 36394 174.278 * * [simplify]: Extracting #9: cost 55 inf + 69203 174.306 * * [simplify]: Extracting #10: cost 35 inf + 83295 174.338 * * [simplify]: Extracting #11: cost 2 inf + 121680 174.376 * * [simplify]: Extracting #12: cost 1 inf + 123745 174.422 * * [simplify]: Extracting #13: cost 0 inf + 125810 174.448 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))) 174.448 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 174.449 * * * * [progress]: [ 324 / 5906 ] simplifiying candidate # 174.449 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 174.449 * * [simplify]: iters left: 6 (52 enodes) 174.473 * * [simplify]: iters left: 5 (253 enodes) 174.554 * * [simplify]: Extracting #0: cost 1 inf + 0 174.555 * * [simplify]: Extracting #1: cost 3 inf + 0 174.555 * * [simplify]: Extracting #2: cost 6 inf + 0 174.555 * * [simplify]: Extracting #3: cost 62 inf + 0 174.555 * * [simplify]: Extracting #4: cost 151 inf + 0 174.557 * * [simplify]: Extracting #5: cost 216 inf + 86 174.559 * * [simplify]: Extracting #6: cost 249 inf + 5657 174.566 * * [simplify]: Extracting #7: cost 199 inf + 14365 174.576 * * [simplify]: Extracting #8: cost 139 inf + 30974 174.597 * * [simplify]: Extracting #9: cost 64 inf + 63573 174.624 * * [simplify]: Extracting #10: cost 34 inf + 82752 174.649 * * [simplify]: Extracting #11: cost 2 inf + 119192 174.684 * * [simplify]: Extracting #12: cost 1 inf + 121257 174.715 * * [simplify]: Extracting #13: cost 0 inf + 123322 174.739 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 174.740 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 174.740 * * * * [progress]: [ 325 / 5906 ] simplifiying candidate # 174.740 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 174.741 * * [simplify]: iters left: 6 (46 enodes) 174.756 * * [simplify]: iters left: 5 (217 enodes) 174.816 * * [simplify]: Extracting #0: cost 1 inf + 0 174.816 * * [simplify]: Extracting #1: cost 3 inf + 0 174.816 * * [simplify]: Extracting #2: cost 6 inf + 0 174.816 * * [simplify]: Extracting #3: cost 54 inf + 0 174.816 * * [simplify]: Extracting #4: cost 119 inf + 0 174.817 * * [simplify]: Extracting #5: cost 165 inf + 44 174.819 * * [simplify]: Extracting #6: cost 223 inf + 1278 174.822 * * [simplify]: Extracting #7: cost 195 inf + 6067 174.827 * * [simplify]: Extracting #8: cost 153 inf + 14636 174.839 * * [simplify]: Extracting #9: cost 98 inf + 37266 174.858 * * [simplify]: Extracting #10: cost 48 inf + 56491 174.875 * * [simplify]: Extracting #11: cost 27 inf + 70386 174.894 * * [simplify]: Extracting #12: cost 2 inf + 98851 174.930 * * [simplify]: Extracting #13: cost 0 inf + 102541 174.951 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))))))))) 174.951 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 174.952 * * * * [progress]: [ 326 / 5906 ] simplifiying candidate # 174.952 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 174.952 * * [simplify]: iters left: 6 (51 enodes) 174.965 * * [simplify]: iters left: 5 (245 enodes) 175.029 * * [simplify]: Extracting #0: cost 1 inf + 0 175.030 * * [simplify]: Extracting #1: cost 3 inf + 0 175.030 * * [simplify]: Extracting #2: cost 10 inf + 0 175.030 * * [simplify]: Extracting #3: cost 74 inf + 0 175.030 * * [simplify]: Extracting #4: cost 137 inf + 1 175.030 * * [simplify]: Extracting #5: cost 186 inf + 249 175.031 * * [simplify]: Extracting #6: cost 241 inf + 2417 175.037 * * [simplify]: Extracting #7: cost 171 inf + 20632 175.049 * * [simplify]: Extracting #8: cost 124 inf + 39442 175.063 * * [simplify]: Extracting #9: cost 91 inf + 50329 175.083 * * [simplify]: Extracting #10: cost 51 inf + 66157 175.118 * * [simplify]: Extracting #11: cost 10 inf + 101782 175.163 * * [simplify]: Extracting #12: cost 0 inf + 116352 175.210 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))))) (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) 175.210 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))))) (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 175.210 * * * * [progress]: [ 327 / 5906 ] simplifiying candidate # 175.211 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 175.211 * * [simplify]: iters left: 6 (46 enodes) 175.223 * * [simplify]: iters left: 5 (217 enodes) 175.266 * * [simplify]: Extracting #0: cost 1 inf + 0 175.266 * * [simplify]: Extracting #1: cost 3 inf + 0 175.266 * * [simplify]: Extracting #2: cost 10 inf + 0 175.266 * * [simplify]: Extracting #3: cost 66 inf + 0 175.266 * * [simplify]: Extracting #4: cost 117 inf + 44 175.267 * * [simplify]: Extracting #5: cost 153 inf + 700 175.270 * * [simplify]: Extracting #6: cost 211 inf + 2976 175.272 * * [simplify]: Extracting #7: cost 187 inf + 7602 175.275 * * [simplify]: Extracting #8: cost 149 inf + 16449 175.281 * * [simplify]: Extracting #9: cost 99 inf + 34597 175.290 * * [simplify]: Extracting #10: cost 42 inf + 58114 175.302 * * [simplify]: Extracting #11: cost 21 inf + 73226 175.331 * * [simplify]: Extracting #12: cost 2 inf + 92821 175.357 * * [simplify]: Extracting #13: cost 0 inf + 96311 175.377 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1))))))) 175.377 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 175.378 * * * * [progress]: [ 328 / 5906 ] simplifiying candidate # 175.378 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 175.378 * * [simplify]: iters left: 6 (51 enodes) 175.394 * * [simplify]: iters left: 5 (245 enodes) 175.457 * * [simplify]: Extracting #0: cost 1 inf + 0 175.457 * * [simplify]: Extracting #1: cost 3 inf + 0 175.457 * * [simplify]: Extracting #2: cost 10 inf + 0 175.457 * * [simplify]: Extracting #3: cost 74 inf + 0 175.458 * * [simplify]: Extracting #4: cost 137 inf + 1 175.459 * * [simplify]: Extracting #5: cost 187 inf + 207 175.461 * * [simplify]: Extracting #6: cost 240 inf + 2739 175.468 * * [simplify]: Extracting #7: cost 165 inf + 22770 175.483 * * [simplify]: Extracting #8: cost 124 inf + 40242 175.491 * * [simplify]: Extracting #9: cost 93 inf + 49838 175.501 * * [simplify]: Extracting #10: cost 55 inf + 64097 175.515 * * [simplify]: Extracting #11: cost 25 inf + 86127 175.538 * * [simplify]: Extracting #12: cost 0 inf + 114992 175.562 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 175.562 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 175.563 * * * * [progress]: [ 329 / 5906 ] simplifiying candidate # 175.563 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 175.563 * * [simplify]: iters left: 6 (46 enodes) 175.581 * * [simplify]: iters left: 5 (217 enodes) 175.648 * * [simplify]: Extracting #0: cost 1 inf + 0 175.649 * * [simplify]: Extracting #1: cost 3 inf + 0 175.649 * * [simplify]: Extracting #2: cost 10 inf + 0 175.649 * * [simplify]: Extracting #3: cost 65 inf + 0 175.649 * * [simplify]: Extracting #4: cost 117 inf + 44 175.650 * * [simplify]: Extracting #5: cost 151 inf + 904 175.652 * * [simplify]: Extracting #6: cost 210 inf + 3138 175.655 * * [simplify]: Extracting #7: cost 187 inf + 7682 175.661 * * [simplify]: Extracting #8: cost 147 inf + 17093 175.673 * * [simplify]: Extracting #9: cost 97 inf + 35827 175.690 * * [simplify]: Extracting #10: cost 43 inf + 58129 175.704 * * [simplify]: Extracting #11: cost 21 inf + 73306 175.727 * * [simplify]: Extracting #12: cost 2 inf + 92501 175.764 * * [simplify]: Extracting #13: cost 0 inf + 95911 175.801 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))))))) 175.801 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 175.802 * * * * [progress]: [ 330 / 5906 ] simplifiying candidate # 175.803 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 175.803 * * [simplify]: iters left: 6 (48 enodes) 175.829 * * [simplify]: iters left: 5 (228 enodes) 175.892 * * [simplify]: Extracting #0: cost 1 inf + 0 175.892 * * [simplify]: Extracting #1: cost 3 inf + 0 175.892 * * [simplify]: Extracting #2: cost 6 inf + 0 175.892 * * [simplify]: Extracting #3: cost 48 inf + 0 175.893 * * [simplify]: Extracting #4: cost 112 inf + 0 175.894 * * [simplify]: Extracting #5: cost 178 inf + 0 175.895 * * [simplify]: Extracting #6: cost 253 inf + 342 175.898 * * [simplify]: Extracting #7: cost 217 inf + 7216 175.903 * * [simplify]: Extracting #8: cost 123 inf + 28901 175.912 * * [simplify]: Extracting #9: cost 51 inf + 54623 175.934 * * [simplify]: Extracting #10: cost 15 inf + 85089 175.974 * * [simplify]: Extracting #11: cost 1 inf + 101039 175.996 * * [simplify]: Extracting #12: cost 0 inf + 102784 176.024 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) 176.024 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 176.026 * * * * [progress]: [ 331 / 5906 ] simplifiying candidate # 176.026 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 176.027 * * [simplify]: iters left: 6 (49 enodes) 176.049 * * [simplify]: iters left: 5 (237 enodes) 176.110 * * [simplify]: Extracting #0: cost 1 inf + 0 176.110 * * [simplify]: Extracting #1: cost 3 inf + 0 176.110 * * [simplify]: Extracting #2: cost 6 inf + 0 176.111 * * [simplify]: Extracting #3: cost 52 inf + 0 176.111 * * [simplify]: Extracting #4: cost 135 inf + 0 176.112 * * [simplify]: Extracting #5: cost 191 inf + 85 176.114 * * [simplify]: Extracting #6: cost 217 inf + 6306 176.119 * * [simplify]: Extracting #7: cost 193 inf + 13162 176.129 * * [simplify]: Extracting #8: cost 128 inf + 31139 176.147 * * [simplify]: Extracting #9: cost 72 inf + 52232 176.180 * * [simplify]: Extracting #10: cost 7 inf + 97706 176.222 * * [simplify]: Extracting #11: cost 0 inf + 104561 176.268 * * [simplify]: Extracting #12: cost 0 inf + 104401 176.310 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ lambda2 lambda1)))))) 176.310 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 176.311 * * * * [progress]: [ 332 / 5906 ] simplifiying candidate # 176.312 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 176.312 * * [simplify]: iters left: 6 (49 enodes) 176.335 * * [simplify]: iters left: 5 (237 enodes) 176.386 * * [simplify]: Extracting #0: cost 1 inf + 0 176.386 * * [simplify]: Extracting #1: cost 3 inf + 0 176.386 * * [simplify]: Extracting #2: cost 6 inf + 0 176.386 * * [simplify]: Extracting #3: cost 54 inf + 0 176.387 * * [simplify]: Extracting #4: cost 133 inf + 0 176.387 * * [simplify]: Extracting #5: cost 186 inf + 166 176.389 * * [simplify]: Extracting #6: cost 215 inf + 6221 176.391 * * [simplify]: Extracting #7: cost 192 inf + 13246 176.396 * * [simplify]: Extracting #8: cost 110 inf + 34861 176.416 * * [simplify]: Extracting #9: cost 47 inf + 58812 176.437 * * [simplify]: Extracting #10: cost 7 inf + 93658 176.459 * * [simplify]: Extracting #11: cost 0 inf + 102113 176.499 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (+ phi2 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))) 176.500 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (+ phi2 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 176.501 * * * * [progress]: [ 333 / 5906 ] simplifiying candidate # 176.501 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 176.502 * * [simplify]: iters left: 6 (43 enodes) 176.516 * * [simplify]: iters left: 5 (200 enodes) 176.561 * * [simplify]: Extracting #0: cost 1 inf + 0 176.561 * * [simplify]: Extracting #1: cost 3 inf + 0 176.561 * * [simplify]: Extracting #2: cost 6 inf + 0 176.561 * * [simplify]: Extracting #3: cost 46 inf + 0 176.562 * * [simplify]: Extracting #4: cost 101 inf + 0 176.562 * * [simplify]: Extracting #5: cost 136 inf + 44 176.564 * * [simplify]: Extracting #6: cost 191 inf + 1682 176.566 * * [simplify]: Extracting #7: cost 186 inf + 3919 176.573 * * [simplify]: Extracting #8: cost 108 inf + 23228 176.601 * * [simplify]: Extracting #9: cost 30 inf + 65963 176.632 * * [simplify]: Extracting #10: cost 2 inf + 83908 176.667 * * [simplify]: Extracting #11: cost 0 inf + 83212 176.692 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))))))) 176.692 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 176.693 * * * * [progress]: [ 334 / 5906 ] simplifiying candidate # 176.693 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 176.694 * * [simplify]: iters left: 6 (48 enodes) 176.706 * * [simplify]: iters left: 5 (228 enodes) 176.785 * * [simplify]: Extracting #0: cost 1 inf + 0 176.785 * * [simplify]: Extracting #1: cost 3 inf + 0 176.785 * * [simplify]: Extracting #2: cost 10 inf + 0 176.785 * * [simplify]: Extracting #3: cost 62 inf + 0 176.785 * * [simplify]: Extracting #4: cost 115 inf + 42 176.786 * * [simplify]: Extracting #5: cost 155 inf + 207 176.787 * * [simplify]: Extracting #6: cost 210 inf + 2411 176.788 * * [simplify]: Extracting #7: cost 187 inf + 9960 176.791 * * [simplify]: Extracting #8: cost 147 inf + 16315 176.796 * * [simplify]: Extracting #9: cost 86 inf + 37603 176.807 * * [simplify]: Extracting #10: cost 34 inf + 60498 176.834 * * [simplify]: Extracting #11: cost 11 inf + 83433 176.873 * * [simplify]: Extracting #12: cost 0 inf + 96428 176.895 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 176.895 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 176.895 * * * * [progress]: [ 335 / 5906 ] simplifiying candidate # 176.895 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 176.896 * * [simplify]: iters left: 6 (43 enodes) 176.908 * * [simplify]: iters left: 5 (200 enodes) 176.981 * * [simplify]: Extracting #0: cost 1 inf + 0 176.981 * * [simplify]: Extracting #1: cost 3 inf + 0 176.981 * * [simplify]: Extracting #2: cost 10 inf + 0 176.981 * * [simplify]: Extracting #3: cost 54 inf + 0 176.981 * * [simplify]: Extracting #4: cost 95 inf + 86 176.982 * * [simplify]: Extracting #5: cost 117 inf + 1349 176.982 * * [simplify]: Extracting #6: cost 179 inf + 2934 176.984 * * [simplify]: Extracting #7: cost 181 inf + 4039 176.987 * * [simplify]: Extracting #8: cost 112 inf + 20034 176.996 * * [simplify]: Extracting #9: cost 48 inf + 44455 177.016 * * [simplify]: Extracting #10: cost 7 inf + 73720 177.035 * * [simplify]: Extracting #11: cost 0 inf + 78387 177.051 * [simplify]: Simplified to (sqrt (+ (* (- phi1 phi2) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))) 177.052 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- phi1 phi2) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 177.052 * * * * [progress]: [ 336 / 5906 ] simplifiying candidate # 177.052 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 177.053 * * [simplify]: iters left: 6 (48 enodes) 177.074 * * [simplify]: iters left: 5 (228 enodes) 177.134 * * [simplify]: Extracting #0: cost 1 inf + 0 177.134 * * [simplify]: Extracting #1: cost 3 inf + 0 177.135 * * [simplify]: Extracting #2: cost 10 inf + 0 177.135 * * [simplify]: Extracting #3: cost 62 inf + 0 177.135 * * [simplify]: Extracting #4: cost 115 inf + 42 177.136 * * [simplify]: Extracting #5: cost 154 inf + 249 177.138 * * [simplify]: Extracting #6: cost 211 inf + 2611 177.141 * * [simplify]: Extracting #7: cost 188 inf + 10079 177.146 * * [simplify]: Extracting #8: cost 145 inf + 16939 177.158 * * [simplify]: Extracting #9: cost 86 inf + 37742 177.175 * * [simplify]: Extracting #10: cost 34 inf + 61298 177.190 * * [simplify]: Extracting #11: cost 11 inf + 84233 177.213 * * [simplify]: Extracting #12: cost 0 inf + 97228 177.251 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 177.251 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 177.252 * * * * [progress]: [ 337 / 5906 ] simplifiying candidate # 177.252 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 177.253 * * [simplify]: iters left: 6 (43 enodes) 177.276 * * [simplify]: iters left: 5 (200 enodes) 177.336 * * [simplify]: Extracting #0: cost 1 inf + 0 177.336 * * [simplify]: Extracting #1: cost 3 inf + 0 177.336 * * [simplify]: Extracting #2: cost 10 inf + 0 177.336 * * [simplify]: Extracting #3: cost 53 inf + 0 177.336 * * [simplify]: Extracting #4: cost 96 inf + 44 177.336 * * [simplify]: Extracting #5: cost 119 inf + 1104 177.337 * * [simplify]: Extracting #6: cost 179 inf + 2934 177.339 * * [simplify]: Extracting #7: cost 176 inf + 4607 177.344 * * [simplify]: Extracting #8: cost 106 inf + 21486 177.359 * * [simplify]: Extracting #9: cost 45 inf + 45753 177.387 * * [simplify]: Extracting #10: cost 8 inf + 73908 177.419 * * [simplify]: Extracting #11: cost 0 inf + 78707 177.450 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))) 177.451 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 177.452 * * * * [progress]: [ 338 / 5906 ] simplifiying candidate # 177.452 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 177.453 * * [simplify]: iters left: 6 (52 enodes) 177.480 * * [simplify]: iters left: 5 (254 enodes) 177.545 * * [simplify]: Extracting #0: cost 1 inf + 0 177.545 * * [simplify]: Extracting #1: cost 3 inf + 0 177.545 * * [simplify]: Extracting #2: cost 6 inf + 0 177.545 * * [simplify]: Extracting #3: cost 56 inf + 0 177.545 * * [simplify]: Extracting #4: cost 130 inf + 0 177.546 * * [simplify]: Extracting #5: cost 210 inf + 0 177.547 * * [simplify]: Extracting #6: cost 302 inf + 1051 177.549 * * [simplify]: Extracting #7: cost 244 inf + 12873 177.553 * * [simplify]: Extracting #8: cost 161 inf + 30124 177.563 * * [simplify]: Extracting #9: cost 102 inf + 51829 177.576 * * [simplify]: Extracting #10: cost 53 inf + 73185 177.599 * * [simplify]: Extracting #11: cost 18 inf + 109140 177.638 * * [simplify]: Extracting #12: cost 1 inf + 127925 177.672 * * [simplify]: Extracting #13: cost 0 inf + 129910 177.701 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 177.701 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 177.703 * * * * [progress]: [ 339 / 5906 ] simplifiying candidate # 177.703 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 177.704 * * [simplify]: iters left: 6 (53 enodes) 177.724 * * [simplify]: iters left: 5 (263 enodes) 177.788 * * [simplify]: Extracting #0: cost 1 inf + 0 177.788 * * [simplify]: Extracting #1: cost 3 inf + 0 177.788 * * [simplify]: Extracting #2: cost 6 inf + 0 177.789 * * [simplify]: Extracting #3: cost 60 inf + 0 177.789 * * [simplify]: Extracting #4: cost 153 inf + 0 177.790 * * [simplify]: Extracting #5: cost 224 inf + 44 177.793 * * [simplify]: Extracting #6: cost 283 inf + 4123 177.798 * * [simplify]: Extracting #7: cost 235 inf + 14864 177.812 * * [simplify]: Extracting #8: cost 145 inf + 37314 177.832 * * [simplify]: Extracting #9: cost 62 inf + 72461 177.855 * * [simplify]: Extracting #10: cost 8 inf + 125087 177.884 * * [simplify]: Extracting #11: cost 0 inf + 135967 177.935 * [simplify]: Simplified to (sqrt (+ (+ (* (* phi1 phi1) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (- (* phi2 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 177.935 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (+ (* (* phi1 phi1) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (- (* phi2 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 177.936 * * * * [progress]: [ 340 / 5906 ] simplifiying candidate # 177.937 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 177.938 * * [simplify]: iters left: 6 (53 enodes) 177.967 * * [simplify]: iters left: 5 (263 enodes) 178.052 * * [simplify]: Extracting #0: cost 1 inf + 0 178.052 * * [simplify]: Extracting #1: cost 3 inf + 0 178.052 * * [simplify]: Extracting #2: cost 6 inf + 0 178.052 * * [simplify]: Extracting #3: cost 62 inf + 0 178.052 * * [simplify]: Extracting #4: cost 151 inf + 0 178.056 * * [simplify]: Extracting #5: cost 220 inf + 44 178.059 * * [simplify]: Extracting #6: cost 278 inf + 4163 178.064 * * [simplify]: Extracting #7: cost 240 inf + 13938 178.075 * * [simplify]: Extracting #8: cost 151 inf + 35963 178.089 * * [simplify]: Extracting #9: cost 65 inf + 67436 178.117 * * [simplify]: Extracting #10: cost 7 inf + 125024 178.152 * * [simplify]: Extracting #11: cost 0 inf + 133319 178.195 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 178.195 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 178.196 * * * * [progress]: [ 341 / 5906 ] simplifiying candidate # 178.196 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 178.197 * * [simplify]: iters left: 6 (47 enodes) 178.208 * * [simplify]: iters left: 5 (227 enodes) 178.269 * * [simplify]: Extracting #0: cost 1 inf + 0 178.269 * * [simplify]: Extracting #1: cost 3 inf + 0 178.269 * * [simplify]: Extracting #2: cost 6 inf + 0 178.269 * * [simplify]: Extracting #3: cost 54 inf + 0 178.269 * * [simplify]: Extracting #4: cost 119 inf + 0 178.270 * * [simplify]: Extracting #5: cost 168 inf + 44 178.272 * * [simplify]: Extracting #6: cost 246 inf + 1399 178.275 * * [simplify]: Extracting #7: cost 219 inf + 6159 178.287 * * [simplify]: Extracting #8: cost 127 inf + 28060 178.304 * * [simplify]: Extracting #9: cost 73 inf + 48709 178.337 * * [simplify]: Extracting #10: cost 17 inf + 91935 178.362 * * [simplify]: Extracting #11: cost 1 inf + 108073 178.407 * * [simplify]: Extracting #12: cost 0 inf + 109938 178.452 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 178.453 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 178.454 * * * * [progress]: [ 342 / 5906 ] simplifiying candidate # 178.454 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 178.455 * * [simplify]: iters left: 6 (52 enodes) 178.482 * * [simplify]: iters left: 5 (255 enodes) 178.566 * * [simplify]: Extracting #0: cost 1 inf + 0 178.566 * * [simplify]: Extracting #1: cost 3 inf + 0 178.566 * * [simplify]: Extracting #2: cost 10 inf + 0 178.566 * * [simplify]: Extracting #3: cost 74 inf + 0 178.567 * * [simplify]: Extracting #4: cost 137 inf + 1 178.567 * * [simplify]: Extracting #5: cost 189 inf + 248 178.568 * * [simplify]: Extracting #6: cost 262 inf + 3261 178.570 * * [simplify]: Extracting #7: cost 237 inf + 9959 178.576 * * [simplify]: Extracting #8: cost 172 inf + 22774 178.588 * * [simplify]: Extracting #9: cost 120 inf + 38698 178.609 * * [simplify]: Extracting #10: cost 59 inf + 66428 178.647 * * [simplify]: Extracting #11: cost 11 inf + 111434 178.674 * * [simplify]: Extracting #12: cost 1 inf + 122004 178.713 * * [simplify]: Extracting #13: cost 0 inf + 123989 178.764 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 178.764 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 178.765 * * * * [progress]: [ 343 / 5906 ] simplifiying candidate # 178.766 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 178.766 * * [simplify]: iters left: 6 (47 enodes) 178.790 * * [simplify]: iters left: 5 (227 enodes) 178.878 * * [simplify]: Extracting #0: cost 1 inf + 0 178.878 * * [simplify]: Extracting #1: cost 3 inf + 0 178.878 * * [simplify]: Extracting #2: cost 10 inf + 0 178.878 * * [simplify]: Extracting #3: cost 66 inf + 0 178.878 * * [simplify]: Extracting #4: cost 117 inf + 44 178.881 * * [simplify]: Extracting #5: cost 153 inf + 1186 178.882 * * [simplify]: Extracting #6: cost 235 inf + 2974 178.884 * * [simplify]: Extracting #7: cost 230 inf + 4732 178.887 * * [simplify]: Extracting #8: cost 134 inf + 26277 178.897 * * [simplify]: Extracting #9: cost 61 inf + 56536 178.915 * * [simplify]: Extracting #10: cost 5 inf + 100556 178.949 * * [simplify]: Extracting #11: cost 1 inf + 103403 178.990 * * [simplify]: Extracting #12: cost 0 inf + 104988 179.029 * * [simplify]: Extracting #13: cost 0 inf + 104948 179.054 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) 179.054 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 179.054 * * * * [progress]: [ 344 / 5906 ] simplifiying candidate # 179.055 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 179.055 * * [simplify]: iters left: 6 (52 enodes) 179.071 * * [simplify]: iters left: 5 (255 enodes) 179.155 * * [simplify]: Extracting #0: cost 1 inf + 0 179.155 * * [simplify]: Extracting #1: cost 3 inf + 0 179.155 * * [simplify]: Extracting #2: cost 10 inf + 0 179.155 * * [simplify]: Extracting #3: cost 74 inf + 0 179.156 * * [simplify]: Extracting #4: cost 137 inf + 1 179.157 * * [simplify]: Extracting #5: cost 189 inf + 248 179.159 * * [simplify]: Extracting #6: cost 269 inf + 1968 179.162 * * [simplify]: Extracting #7: cost 240 inf + 9233 179.169 * * [simplify]: Extracting #8: cost 173 inf + 22330 179.177 * * [simplify]: Extracting #9: cost 120 inf + 38858 179.188 * * [simplify]: Extracting #10: cost 58 inf + 67552 179.215 * * [simplify]: Extracting #11: cost 11 inf + 112394 179.263 * * [simplify]: Extracting #12: cost 1 inf + 122964 179.302 * * [simplify]: Extracting #13: cost 0 inf + 124949 179.337 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 179.337 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 179.339 * * * * [progress]: [ 345 / 5906 ] simplifiying candidate # 179.339 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 179.340 * * [simplify]: iters left: 6 (47 enodes) 179.362 * * [simplify]: iters left: 5 (227 enodes) 179.419 * * [simplify]: Extracting #0: cost 1 inf + 0 179.419 * * [simplify]: Extracting #1: cost 3 inf + 0 179.419 * * [simplify]: Extracting #2: cost 10 inf + 0 179.419 * * [simplify]: Extracting #3: cost 65 inf + 0 179.420 * * [simplify]: Extracting #4: cost 116 inf + 86 179.421 * * [simplify]: Extracting #5: cost 147 inf + 1958 179.423 * * [simplify]: Extracting #6: cost 235 inf + 2934 179.425 * * [simplify]: Extracting #7: cost 228 inf + 4936 179.433 * * [simplify]: Extracting #8: cost 135 inf + 25556 179.452 * * [simplify]: Extracting #9: cost 64 inf + 53986 179.471 * * [simplify]: Extracting #10: cost 11 inf + 93366 179.492 * * [simplify]: Extracting #11: cost 1 inf + 103563 179.516 * * [simplify]: Extracting #12: cost 0 inf + 105348 179.537 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) 179.538 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 179.538 * * * * [progress]: [ 346 / 5906 ] simplifiying candidate # 179.538 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 179.539 * * [simplify]: iters left: 6 (52 enodes) 179.553 * * [simplify]: iters left: 5 (254 enodes) 179.609 * * [simplify]: Extracting #0: cost 1 inf + 0 179.609 * * [simplify]: Extracting #1: cost 3 inf + 0 179.609 * * [simplify]: Extracting #2: cost 6 inf + 0 179.609 * * [simplify]: Extracting #3: cost 56 inf + 0 179.610 * * [simplify]: Extracting #4: cost 130 inf + 0 179.610 * * [simplify]: Extracting #5: cost 211 inf + 0 179.611 * * [simplify]: Extracting #6: cost 294 inf + 1134 179.613 * * [simplify]: Extracting #7: cost 248 inf + 10954 179.617 * * [simplify]: Extracting #8: cost 163 inf + 28829 179.625 * * [simplify]: Extracting #9: cost 104 inf + 49107 179.638 * * [simplify]: Extracting #10: cost 52 inf + 72878 179.652 * * [simplify]: Extracting #11: cost 40 inf + 81978 179.683 * * [simplify]: Extracting #12: cost 9 inf + 118713 179.733 * * [simplify]: Extracting #13: cost 1 inf + 129873 179.785 * * [simplify]: Extracting #14: cost 0 inf + 131938 179.836 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 179.836 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 179.837 * * * * [progress]: [ 347 / 5906 ] simplifiying candidate # 179.837 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 179.838 * * [simplify]: iters left: 6 (53 enodes) 179.866 * * [simplify]: iters left: 5 (263 enodes) 179.980 * * [simplify]: Extracting #0: cost 1 inf + 0 179.980 * * [simplify]: Extracting #1: cost 3 inf + 0 179.980 * * [simplify]: Extracting #2: cost 6 inf + 0 179.980 * * [simplify]: Extracting #3: cost 60 inf + 0 179.981 * * [simplify]: Extracting #4: cost 153 inf + 0 179.982 * * [simplify]: Extracting #5: cost 225 inf + 44 179.985 * * [simplify]: Extracting #6: cost 273 inf + 4811 179.991 * * [simplify]: Extracting #7: cost 240 inf + 13003 180.005 * * [simplify]: Extracting #8: cost 153 inf + 33479 180.025 * * [simplify]: Extracting #9: cost 76 inf + 62768 180.064 * * [simplify]: Extracting #10: cost 19 inf + 113153 180.114 * * [simplify]: Extracting #11: cost 2 inf + 130785 180.167 * * [simplify]: Extracting #12: cost 0 inf + 135035 180.219 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 180.219 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 180.219 * * * * [progress]: [ 348 / 5906 ] simplifiying candidate # 180.220 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 180.220 * * [simplify]: iters left: 6 (53 enodes) 180.233 * * [simplify]: iters left: 5 (263 enodes) 180.291 * * [simplify]: Extracting #0: cost 1 inf + 0 180.291 * * [simplify]: Extracting #1: cost 3 inf + 0 180.291 * * [simplify]: Extracting #2: cost 6 inf + 0 180.291 * * [simplify]: Extracting #3: cost 62 inf + 0 180.292 * * [simplify]: Extracting #4: cost 151 inf + 0 180.292 * * [simplify]: Extracting #5: cost 221 inf + 44 180.294 * * [simplify]: Extracting #6: cost 273 inf + 4122 180.296 * * [simplify]: Extracting #7: cost 238 inf + 13571 180.302 * * [simplify]: Extracting #8: cost 147 inf + 36200 180.324 * * [simplify]: Extracting #9: cost 54 inf + 74651 180.367 * * [simplify]: Extracting #10: cost 12 inf + 117371 180.419 * * [simplify]: Extracting #11: cost 0 inf + 132387 180.452 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 180.452 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 180.453 * * * * [progress]: [ 349 / 5906 ] simplifiying candidate # 180.453 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 180.453 * * [simplify]: iters left: 6 (47 enodes) 180.468 * * [simplify]: iters left: 5 (227 enodes) 180.529 * * [simplify]: Extracting #0: cost 1 inf + 0 180.530 * * [simplify]: Extracting #1: cost 3 inf + 0 180.530 * * [simplify]: Extracting #2: cost 6 inf + 0 180.530 * * [simplify]: Extracting #3: cost 54 inf + 0 180.530 * * [simplify]: Extracting #4: cost 119 inf + 0 180.531 * * [simplify]: Extracting #5: cost 169 inf + 44 180.532 * * [simplify]: Extracting #6: cost 240 inf + 1318 180.536 * * [simplify]: Extracting #7: cost 216 inf + 6114 180.543 * * [simplify]: Extracting #8: cost 148 inf + 22703 180.557 * * [simplify]: Extracting #9: cost 102 inf + 42417 180.573 * * [simplify]: Extracting #10: cost 45 inf + 64960 180.591 * * [simplify]: Extracting #11: cost 9 inf + 96741 180.624 * * [simplify]: Extracting #12: cost 1 inf + 107301 180.648 * * [simplify]: Extracting #13: cost 0 inf + 109166 180.694 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) 180.694 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 180.695 * * * * [progress]: [ 350 / 5906 ] simplifiying candidate # 180.696 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 180.697 * * [simplify]: iters left: 6 (52 enodes) 180.723 * * [simplify]: iters left: 5 (255 enodes) 180.809 * * [simplify]: Extracting #0: cost 1 inf + 0 180.809 * * [simplify]: Extracting #1: cost 3 inf + 0 180.809 * * [simplify]: Extracting #2: cost 10 inf + 0 180.809 * * [simplify]: Extracting #3: cost 74 inf + 0 180.810 * * [simplify]: Extracting #4: cost 137 inf + 1 180.811 * * [simplify]: Extracting #5: cost 191 inf + 206 180.813 * * [simplify]: Extracting #6: cost 255 inf + 3542 180.815 * * [simplify]: Extracting #7: cost 236 inf + 9129 180.818 * * [simplify]: Extracting #8: cost 172 inf + 22061 180.824 * * [simplify]: Extracting #9: cost 116 inf + 40080 180.835 * * [simplify]: Extracting #10: cost 60 inf + 64830 180.858 * * [simplify]: Extracting #11: cost 34 inf + 83527 180.885 * * [simplify]: Extracting #12: cost 4 inf + 117237 180.919 * * [simplify]: Extracting #13: cost 0 inf + 123217 180.945 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 180.945 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 180.945 * * * * [progress]: [ 351 / 5906 ] simplifiying candidate # 180.945 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 180.946 * * [simplify]: iters left: 6 (47 enodes) 180.970 * * [simplify]: iters left: 5 (227 enodes) 181.063 * * [simplify]: Extracting #0: cost 1 inf + 0 181.063 * * [simplify]: Extracting #1: cost 3 inf + 0 181.063 * * [simplify]: Extracting #2: cost 10 inf + 0 181.063 * * [simplify]: Extracting #3: cost 66 inf + 0 181.064 * * [simplify]: Extracting #4: cost 117 inf + 44 181.065 * * [simplify]: Extracting #5: cost 152 inf + 1470 181.067 * * [simplify]: Extracting #6: cost 229 inf + 2974 181.069 * * [simplify]: Extracting #7: cost 227 inf + 4527 181.077 * * [simplify]: Extracting #8: cost 137 inf + 23569 181.096 * * [simplify]: Extracting #9: cost 54 inf + 57452 181.128 * * [simplify]: Extracting #10: cost 15 inf + 88787 181.171 * * [simplify]: Extracting #11: cost 1 inf + 102551 181.213 * * [simplify]: Extracting #12: cost 0 inf + 104336 181.259 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) 181.259 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 181.260 * * * * [progress]: [ 352 / 5906 ] simplifiying candidate # 181.261 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 181.261 * * [simplify]: iters left: 6 (52 enodes) 181.276 * * [simplify]: iters left: 5 (255 enodes) 181.953 * * [simplify]: Extracting #0: cost 1 inf + 0 181.953 * * [simplify]: Extracting #1: cost 3 inf + 0 181.953 * * [simplify]: Extracting #2: cost 10 inf + 0 181.953 * * [simplify]: Extracting #3: cost 74 inf + 0 181.954 * * [simplify]: Extracting #4: cost 137 inf + 1 181.955 * * [simplify]: Extracting #5: cost 191 inf + 206 181.957 * * [simplify]: Extracting #6: cost 261 inf + 2251 181.961 * * [simplify]: Extracting #7: cost 241 inf + 8000 181.968 * * [simplify]: Extracting #8: cost 169 inf + 22596 181.980 * * [simplify]: Extracting #9: cost 116 inf + 39740 182.003 * * [simplify]: Extracting #10: cost 59 inf + 65895 182.031 * * [simplify]: Extracting #11: cost 34 inf + 84487 182.075 * * [simplify]: Extracting #12: cost 4 inf + 118197 182.113 * * [simplify]: Extracting #13: cost 0 inf + 124177 182.153 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 182.153 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 182.154 * * * * [progress]: [ 353 / 5906 ] simplifiying candidate # 182.155 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 182.156 * * [simplify]: iters left: 6 (47 enodes) 182.176 * * [simplify]: iters left: 5 (227 enodes) 182.239 * * [simplify]: Extracting #0: cost 1 inf + 0 182.239 * * [simplify]: Extracting #1: cost 3 inf + 0 182.239 * * [simplify]: Extracting #2: cost 10 inf + 0 182.239 * * [simplify]: Extracting #3: cost 65 inf + 0 182.239 * * [simplify]: Extracting #4: cost 117 inf + 44 182.240 * * [simplify]: Extracting #5: cost 159 inf + 537 182.242 * * [simplify]: Extracting #6: cost 230 inf + 2772 182.245 * * [simplify]: Extracting #7: cost 225 inf + 4851 182.252 * * [simplify]: Extracting #8: cost 137 inf + 23408 182.271 * * [simplify]: Extracting #9: cost 61 inf + 55266 182.302 * * [simplify]: Extracting #10: cost 15 inf + 88736 182.342 * * [simplify]: Extracting #11: cost 1 inf + 102791 182.385 * * [simplify]: Extracting #12: cost 0 inf + 104576 182.410 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) 182.410 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 182.410 * * * * [progress]: [ 354 / 5906 ] simplifiying candidate # 182.411 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 182.411 * * [simplify]: iters left: 6 (52 enodes) 182.431 * * [simplify]: iters left: 5 (254 enodes) 182.506 * * [simplify]: Extracting #0: cost 1 inf + 0 182.506 * * [simplify]: Extracting #1: cost 3 inf + 0 182.506 * * [simplify]: Extracting #2: cost 6 inf + 0 182.507 * * [simplify]: Extracting #3: cost 56 inf + 0 182.507 * * [simplify]: Extracting #4: cost 130 inf + 0 182.508 * * [simplify]: Extracting #5: cost 207 inf + 0 182.510 * * [simplify]: Extracting #6: cost 282 inf + 1745 182.515 * * [simplify]: Extracting #7: cost 216 inf + 15420 182.526 * * [simplify]: Extracting #8: cost 142 inf + 37260 182.544 * * [simplify]: Extracting #9: cost 94 inf + 54337 182.567 * * [simplify]: Extracting #10: cost 55 inf + 67408 182.593 * * [simplify]: Extracting #11: cost 40 inf + 76143 182.619 * * [simplify]: Extracting #12: cost 8 inf + 110223 182.650 * * [simplify]: Extracting #13: cost 0 inf + 122183 182.682 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))))) 182.682 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 182.683 * * * * [progress]: [ 355 / 5906 ] simplifiying candidate # 182.683 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 182.683 * * [simplify]: iters left: 6 (53 enodes) 182.697 * * [simplify]: iters left: 5 (263 enodes) 182.810 * * [simplify]: Extracting #0: cost 1 inf + 0 182.810 * * [simplify]: Extracting #1: cost 3 inf + 0 182.810 * * [simplify]: Extracting #2: cost 6 inf + 0 182.810 * * [simplify]: Extracting #3: cost 60 inf + 0 182.811 * * [simplify]: Extracting #4: cost 153 inf + 0 182.812 * * [simplify]: Extracting #5: cost 221 inf + 44 182.814 * * [simplify]: Extracting #6: cost 261 inf + 5622 182.821 * * [simplify]: Extracting #7: cost 208 inf + 16427 182.833 * * [simplify]: Extracting #8: cost 154 inf + 33797 182.851 * * [simplify]: Extracting #9: cost 95 inf + 56782 182.876 * * [simplify]: Extracting #10: cost 49 inf + 74775 182.914 * * [simplify]: Extracting #11: cost 8 inf + 115440 182.938 * * [simplify]: Extracting #12: cost 0 inf + 124920 182.963 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 182.963 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 182.963 * * * * [progress]: [ 356 / 5906 ] simplifiying candidate # 182.964 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 182.964 * * [simplify]: iters left: 6 (53 enodes) 182.977 * * [simplify]: iters left: 5 (263 enodes) 183.047 * * [simplify]: Extracting #0: cost 1 inf + 0 183.047 * * [simplify]: Extracting #1: cost 3 inf + 0 183.047 * * [simplify]: Extracting #2: cost 6 inf + 0 183.048 * * [simplify]: Extracting #3: cost 62 inf + 0 183.048 * * [simplify]: Extracting #4: cost 151 inf + 0 183.048 * * [simplify]: Extracting #5: cost 217 inf + 44 183.050 * * [simplify]: Extracting #6: cost 261 inf + 5855 183.053 * * [simplify]: Extracting #7: cost 197 inf + 20151 183.060 * * [simplify]: Extracting #8: cost 147 inf + 37168 183.078 * * [simplify]: Extracting #9: cost 95 inf + 57753 183.098 * * [simplify]: Extracting #10: cost 51 inf + 73239 183.118 * * [simplify]: Extracting #11: cost 11 inf + 112237 183.163 * * [simplify]: Extracting #12: cost 0 inf + 123552 183.211 * * [simplify]: Extracting #13: cost 0 inf + 122912 183.252 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (+ (* (* phi1 phi1) (+ (* phi2 (- (* phi2 phi2))) (* (* phi1 phi1) phi1))) (* (- (* phi2 phi2)) (+ (* phi2 (- (* phi2 phi2))) (* (* phi1 phi1) phi1)))))) (* (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 183.252 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (+ (* (* phi1 phi1) (+ (* phi2 (- (* phi2 phi2))) (* (* phi1 phi1) phi1))) (* (- (* phi2 phi2)) (+ (* phi2 (- (* phi2 phi2))) (* (* phi1 phi1) phi1)))))) (* (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 183.253 * * * * [progress]: [ 357 / 5906 ] simplifiying candidate # 183.253 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 183.253 * * [simplify]: iters left: 6 (47 enodes) 183.267 * * [simplify]: iters left: 5 (227 enodes) 183.344 * * [simplify]: Extracting #0: cost 1 inf + 0 183.344 * * [simplify]: Extracting #1: cost 3 inf + 0 183.344 * * [simplify]: Extracting #2: cost 6 inf + 0 183.344 * * [simplify]: Extracting #3: cost 54 inf + 0 183.344 * * [simplify]: Extracting #4: cost 119 inf + 0 183.345 * * [simplify]: Extracting #5: cost 164 inf + 126 183.347 * * [simplify]: Extracting #6: cost 233 inf + 1520 183.349 * * [simplify]: Extracting #7: cost 216 inf + 5016 183.358 * * [simplify]: Extracting #8: cost 130 inf + 27574 183.382 * * [simplify]: Extracting #9: cost 43 inf + 64340 183.405 * * [simplify]: Extracting #10: cost 6 inf + 95967 183.429 * * [simplify]: Extracting #11: cost 1 inf + 100506 183.461 * * [simplify]: Extracting #12: cost 0 inf + 102371 183.482 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 183.482 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 183.483 * * * * [progress]: [ 358 / 5906 ] simplifiying candidate # 183.484 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 183.484 * * [simplify]: iters left: 6 (52 enodes) 183.511 * * [simplify]: iters left: 5 (255 enodes) 183.592 * * [simplify]: Extracting #0: cost 1 inf + 0 183.592 * * [simplify]: Extracting #1: cost 3 inf + 0 183.592 * * [simplify]: Extracting #2: cost 10 inf + 0 183.592 * * [simplify]: Extracting #3: cost 74 inf + 0 183.592 * * [simplify]: Extracting #4: cost 137 inf + 1 183.593 * * [simplify]: Extracting #5: cost 187 inf + 207 183.594 * * [simplify]: Extracting #6: cost 250 inf + 2618 183.597 * * [simplify]: Extracting #7: cost 192 inf + 18910 183.603 * * [simplify]: Extracting #8: cost 132 inf + 37767 183.615 * * [simplify]: Extracting #9: cost 88 inf + 54699 183.629 * * [simplify]: Extracting #10: cost 50 inf + 67412 183.666 * * [simplify]: Extracting #11: cost 5 inf + 107697 183.715 * * [simplify]: Extracting #12: cost 0 inf + 115342 183.762 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))))) 183.762 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 183.763 * * * * [progress]: [ 359 / 5906 ] simplifiying candidate # 183.763 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 183.764 * * [simplify]: iters left: 6 (47 enodes) 183.788 * * [simplify]: iters left: 5 (227 enodes) 183.845 * * [simplify]: Extracting #0: cost 1 inf + 0 183.845 * * [simplify]: Extracting #1: cost 3 inf + 0 183.845 * * [simplify]: Extracting #2: cost 10 inf + 0 183.845 * * [simplify]: Extracting #3: cost 66 inf + 0 183.845 * * [simplify]: Extracting #4: cost 116 inf + 86 183.846 * * [simplify]: Extracting #5: cost 146 inf + 1634 183.847 * * [simplify]: Extracting #6: cost 223 inf + 2934 183.848 * * [simplify]: Extracting #7: cost 217 inf + 4811 183.851 * * [simplify]: Extracting #8: cost 161 inf + 14889 183.857 * * [simplify]: Extracting #9: cost 111 inf + 33365 183.869 * * [simplify]: Extracting #10: cost 41 inf + 61658 183.898 * * [simplify]: Extracting #11: cost 2 inf + 94331 183.920 * * [simplify]: Extracting #12: cost 1 inf + 96156 183.961 * * [simplify]: Extracting #13: cost 0 inf + 97981 183.981 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) 183.981 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 183.981 * * * * [progress]: [ 360 / 5906 ] simplifiying candidate # 183.982 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 183.982 * * [simplify]: iters left: 6 (52 enodes) 184.001 * * [simplify]: iters left: 5 (255 enodes) 184.077 * * [simplify]: Extracting #0: cost 1 inf + 0 184.077 * * [simplify]: Extracting #1: cost 3 inf + 0 184.077 * * [simplify]: Extracting #2: cost 10 inf + 0 184.077 * * [simplify]: Extracting #3: cost 74 inf + 0 184.078 * * [simplify]: Extracting #4: cost 137 inf + 1 184.079 * * [simplify]: Extracting #5: cost 186 inf + 248 184.081 * * [simplify]: Extracting #6: cost 255 inf + 1851 184.086 * * [simplify]: Extracting #7: cost 203 inf + 13736 184.098 * * [simplify]: Extracting #8: cost 134 inf + 36807 184.112 * * [simplify]: Extracting #9: cost 96 inf + 52859 184.126 * * [simplify]: Extracting #10: cost 53 inf + 66697 184.147 * * [simplify]: Extracting #11: cost 30 inf + 80912 184.172 * * [simplify]: Extracting #12: cost 6 inf + 109272 184.208 * * [simplify]: Extracting #13: cost 0 inf + 118862 184.244 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 184.244 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 184.245 * * * * [progress]: [ 361 / 5906 ] simplifiying candidate # 184.245 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 184.246 * * [simplify]: iters left: 6 (47 enodes) 184.259 * * [simplify]: iters left: 5 (227 enodes) 184.317 * * [simplify]: Extracting #0: cost 1 inf + 0 184.317 * * [simplify]: Extracting #1: cost 3 inf + 0 184.317 * * [simplify]: Extracting #2: cost 10 inf + 0 184.317 * * [simplify]: Extracting #3: cost 65 inf + 0 184.318 * * [simplify]: Extracting #4: cost 117 inf + 44 184.319 * * [simplify]: Extracting #5: cost 153 inf + 780 184.321 * * [simplify]: Extracting #6: cost 223 inf + 2813 184.324 * * [simplify]: Extracting #7: cost 210 inf + 5743 184.329 * * [simplify]: Extracting #8: cost 158 inf + 15775 184.337 * * [simplify]: Extracting #9: cost 101 inf + 36882 184.352 * * [simplify]: Extracting #10: cost 17 inf + 83491 184.381 * * [simplify]: Extracting #11: cost 1 inf + 96636 184.421 * * [simplify]: Extracting #12: cost 0 inf + 98461 184.445 * * [simplify]: Extracting #13: cost 0 inf + 98381 184.476 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1)))) 184.476 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1)))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 184.477 * * * * [progress]: [ 362 / 5906 ] simplifiying candidate # 184.477 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 184.478 * * [simplify]: iters left: 6 (51 enodes) 184.490 * * [simplify]: iters left: 5 (244 enodes) 184.578 * * [simplify]: Extracting #0: cost 1 inf + 0 184.578 * * [simplify]: Extracting #1: cost 3 inf + 0 184.578 * * [simplify]: Extracting #2: cost 6 inf + 0 184.579 * * [simplify]: Extracting #3: cost 56 inf + 0 184.579 * * [simplify]: Extracting #4: cost 130 inf + 0 184.580 * * [simplify]: Extracting #5: cost 206 inf + 0 184.581 * * [simplify]: Extracting #6: cost 275 inf + 1388 184.585 * * [simplify]: Extracting #7: cost 194 inf + 16147 184.591 * * [simplify]: Extracting #8: cost 136 inf + 36902 184.599 * * [simplify]: Extracting #9: cost 90 inf + 53233 184.612 * * [simplify]: Extracting #10: cost 56 inf + 65353 184.633 * * [simplify]: Extracting #11: cost 35 inf + 80478 184.654 * * [simplify]: Extracting #12: cost 5 inf + 114428 184.692 * * [simplify]: Extracting #13: cost 0 inf + 122633 184.741 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 184.741 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 184.742 * * * * [progress]: [ 363 / 5906 ] simplifiying candidate # 184.743 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 184.743 * * [simplify]: iters left: 6 (52 enodes) 184.772 * * [simplify]: iters left: 5 (253 enodes) 184.831 * * [simplify]: Extracting #0: cost 1 inf + 0 184.831 * * [simplify]: Extracting #1: cost 3 inf + 0 184.831 * * [simplify]: Extracting #2: cost 6 inf + 0 184.831 * * [simplify]: Extracting #3: cost 60 inf + 0 184.831 * * [simplify]: Extracting #4: cost 153 inf + 0 184.832 * * [simplify]: Extracting #5: cost 220 inf + 44 184.833 * * [simplify]: Extracting #6: cost 247 inf + 6628 184.837 * * [simplify]: Extracting #7: cost 190 inf + 17352 184.845 * * [simplify]: Extracting #8: cost 146 inf + 32219 184.855 * * [simplify]: Extracting #9: cost 92 inf + 58864 184.867 * * [simplify]: Extracting #10: cost 44 inf + 77910 184.889 * * [simplify]: Extracting #11: cost 6 inf + 119180 184.914 * * [simplify]: Extracting #12: cost 1 inf + 125065 184.941 * * [simplify]: Extracting #13: cost 0 inf + 127130 184.973 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 184.973 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 184.973 * * * * [progress]: [ 364 / 5906 ] simplifiying candidate # 184.974 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 184.974 * * [simplify]: iters left: 6 (52 enodes) 184.989 * * [simplify]: iters left: 5 (253 enodes) 185.082 * * [simplify]: Extracting #0: cost 1 inf + 0 185.083 * * [simplify]: Extracting #1: cost 3 inf + 0 185.083 * * [simplify]: Extracting #2: cost 6 inf + 0 185.083 * * [simplify]: Extracting #3: cost 62 inf + 0 185.083 * * [simplify]: Extracting #4: cost 151 inf + 0 185.085 * * [simplify]: Extracting #5: cost 216 inf + 44 185.087 * * [simplify]: Extracting #6: cost 246 inf + 5862 185.093 * * [simplify]: Extracting #7: cost 199 inf + 14806 185.106 * * [simplify]: Extracting #8: cost 117 inf + 41310 185.130 * * [simplify]: Extracting #9: cost 52 inf + 70923 185.156 * * [simplify]: Extracting #10: cost 9 inf + 114497 185.194 * * [simplify]: Extracting #11: cost 1 inf + 122817 185.244 * * [simplify]: Extracting #12: cost 0 inf + 124762 185.271 * * [simplify]: Extracting #13: cost 0 inf + 124722 185.315 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)))))) 185.315 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 185.315 * * * * [progress]: [ 365 / 5906 ] simplifiying candidate # 185.316 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 185.316 * * [simplify]: iters left: 6 (46 enodes) 185.327 * * [simplify]: iters left: 5 (217 enodes) 185.388 * * [simplify]: Extracting #0: cost 1 inf + 0 185.388 * * [simplify]: Extracting #1: cost 3 inf + 0 185.388 * * [simplify]: Extracting #2: cost 6 inf + 0 185.389 * * [simplify]: Extracting #3: cost 54 inf + 0 185.389 * * [simplify]: Extracting #4: cost 119 inf + 0 185.389 * * [simplify]: Extracting #5: cost 164 inf + 44 185.390 * * [simplify]: Extracting #6: cost 225 inf + 1114 185.391 * * [simplify]: Extracting #7: cost 196 inf + 5625 185.394 * * [simplify]: Extracting #8: cost 149 inf + 17010 185.404 * * [simplify]: Extracting #9: cost 101 inf + 36535 185.425 * * [simplify]: Extracting #10: cost 45 inf + 58735 185.459 * * [simplify]: Extracting #11: cost 9 inf + 91716 185.492 * * [simplify]: Extracting #12: cost 0 inf + 101661 185.513 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) 185.513 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 185.514 * * * * [progress]: [ 366 / 5906 ] simplifiying candidate # 185.515 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 185.515 * * [simplify]: iters left: 6 (51 enodes) 185.542 * * [simplify]: iters left: 5 (245 enodes) 185.641 * * [simplify]: Extracting #0: cost 1 inf + 0 185.641 * * [simplify]: Extracting #1: cost 3 inf + 0 185.641 * * [simplify]: Extracting #2: cost 10 inf + 0 185.641 * * [simplify]: Extracting #3: cost 74 inf + 0 185.642 * * [simplify]: Extracting #4: cost 137 inf + 1 185.643 * * [simplify]: Extracting #5: cost 185 inf + 249 185.644 * * [simplify]: Extracting #6: cost 242 inf + 2214 185.650 * * [simplify]: Extracting #7: cost 179 inf + 17933 185.659 * * [simplify]: Extracting #8: cost 134 inf + 33527 185.667 * * [simplify]: Extracting #9: cost 94 inf + 48855 185.677 * * [simplify]: Extracting #10: cost 52 inf + 65132 185.697 * * [simplify]: Extracting #11: cost 11 inf + 101157 185.724 * * [simplify]: Extracting #12: cost 0 inf + 116272 185.763 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) 185.763 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 185.764 * * * * [progress]: [ 367 / 5906 ] simplifiying candidate # 185.764 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 185.764 * * [simplify]: iters left: 6 (46 enodes) 185.776 * * [simplify]: iters left: 5 (217 enodes) 185.825 * * [simplify]: Extracting #0: cost 1 inf + 0 185.825 * * [simplify]: Extracting #1: cost 3 inf + 0 185.825 * * [simplify]: Extracting #2: cost 10 inf + 0 185.825 * * [simplify]: Extracting #3: cost 66 inf + 0 185.825 * * [simplify]: Extracting #4: cost 117 inf + 44 185.826 * * [simplify]: Extracting #5: cost 149 inf + 1066 185.829 * * [simplify]: Extracting #6: cost 212 inf + 2975 185.830 * * [simplify]: Extracting #7: cost 203 inf + 4568 185.834 * * [simplify]: Extracting #8: cost 143 inf + 21911 185.841 * * [simplify]: Extracting #9: cost 88 inf + 42059 185.851 * * [simplify]: Extracting #10: cost 42 inf + 58714 185.877 * * [simplify]: Extracting #11: cost 14 inf + 84361 185.896 * * [simplify]: Extracting #12: cost 0 inf + 99031 185.929 * * [simplify]: Extracting #13: cost 0 inf + 98791 185.960 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 185.960 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 185.961 * * * * [progress]: [ 368 / 5906 ] simplifiying candidate # 185.962 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 185.964 * * [simplify]: iters left: 6 (51 enodes) 185.987 * * [simplify]: iters left: 5 (245 enodes) 186.063 * * [simplify]: Extracting #0: cost 1 inf + 0 186.063 * * [simplify]: Extracting #1: cost 3 inf + 0 186.063 * * [simplify]: Extracting #2: cost 10 inf + 0 186.063 * * [simplify]: Extracting #3: cost 74 inf + 0 186.064 * * [simplify]: Extracting #4: cost 137 inf + 1 186.064 * * [simplify]: Extracting #5: cost 186 inf + 207 186.065 * * [simplify]: Extracting #6: cost 241 inf + 2455 186.068 * * [simplify]: Extracting #7: cost 173 inf + 19225 186.076 * * [simplify]: Extracting #8: cost 130 inf + 37063 186.084 * * [simplify]: Extracting #9: cost 94 inf + 49815 186.101 * * [simplify]: Extracting #10: cost 51 inf + 66517 186.119 * * [simplify]: Extracting #11: cost 11 inf + 102117 186.151 * * [simplify]: Extracting #12: cost 0 inf + 117232 186.178 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) 186.178 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 186.179 * * * * [progress]: [ 369 / 5906 ] simplifiying candidate # 186.179 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 186.180 * * [simplify]: iters left: 6 (46 enodes) 186.205 * * [simplify]: iters left: 5 (217 enodes) 186.259 * * [simplify]: Extracting #0: cost 1 inf + 0 186.259 * * [simplify]: Extracting #1: cost 3 inf + 0 186.259 * * [simplify]: Extracting #2: cost 10 inf + 0 186.259 * * [simplify]: Extracting #3: cost 65 inf + 0 186.259 * * [simplify]: Extracting #4: cost 117 inf + 44 186.260 * * [simplify]: Extracting #5: cost 150 inf + 904 186.262 * * [simplify]: Extracting #6: cost 212 inf + 2975 186.264 * * [simplify]: Extracting #7: cost 206 inf + 4202 186.268 * * [simplify]: Extracting #8: cost 142 inf + 22032 186.275 * * [simplify]: Extracting #9: cost 93 inf + 40735 186.287 * * [simplify]: Extracting #10: cost 43 inf + 58329 186.302 * * [simplify]: Extracting #11: cost 13 inf + 85346 186.342 * * [simplify]: Extracting #12: cost 0 inf + 99111 186.364 * * [simplify]: Extracting #13: cost 0 inf + 98871 186.390 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 186.390 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 186.391 * * * * [progress]: [ 370 / 5906 ] simplifiying candidate # 186.392 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 186.392 * * [simplify]: iters left: 6 (48 enodes) 186.416 * * [simplify]: iters left: 5 (231 enodes) 186.507 * * [simplify]: Extracting #0: cost 1 inf + 0 186.507 * * [simplify]: Extracting #1: cost 3 inf + 0 186.507 * * [simplify]: Extracting #2: cost 6 inf + 0 186.508 * * [simplify]: Extracting #3: cost 54 inf + 0 186.508 * * [simplify]: Extracting #4: cost 120 inf + 0 186.508 * * [simplify]: Extracting #5: cost 186 inf + 0 186.509 * * [simplify]: Extracting #6: cost 255 inf + 1605 186.510 * * [simplify]: Extracting #7: cost 211 inf + 10942 186.514 * * [simplify]: Extracting #8: cost 150 inf + 22927 186.520 * * [simplify]: Extracting #9: cost 98 inf + 37825 186.529 * * [simplify]: Extracting #10: cost 52 inf + 56261 186.549 * * [simplify]: Extracting #11: cost 31 inf + 71763 186.575 * * [simplify]: Extracting #12: cost 2 inf + 102008 186.596 * * [simplify]: Extracting #13: cost 0 inf + 105458 186.617 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) 186.617 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 186.618 * * * * [progress]: [ 371 / 5906 ] simplifiying candidate # 186.618 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 186.618 * * [simplify]: iters left: 6 (49 enodes) 186.631 * * [simplify]: iters left: 5 (240 enodes) 186.697 * * [simplify]: Extracting #0: cost 1 inf + 0 186.697 * * [simplify]: Extracting #1: cost 3 inf + 0 186.697 * * [simplify]: Extracting #2: cost 6 inf + 0 186.698 * * [simplify]: Extracting #3: cost 58 inf + 0 186.698 * * [simplify]: Extracting #4: cost 143 inf + 0 186.699 * * [simplify]: Extracting #5: cost 199 inf + 85 186.701 * * [simplify]: Extracting #6: cost 231 inf + 5296 186.706 * * [simplify]: Extracting #7: cost 196 inf + 14817 186.718 * * [simplify]: Extracting #8: cost 110 inf + 37995 186.735 * * [simplify]: Extracting #9: cost 49 inf + 62191 186.755 * * [simplify]: Extracting #10: cost 8 inf + 98155 186.788 * * [simplify]: Extracting #11: cost 0 inf + 106755 186.815 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))))) 186.815 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 186.816 * * * * [progress]: [ 372 / 5906 ] simplifiying candidate # 186.816 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 186.817 * * [simplify]: iters left: 6 (49 enodes) 186.829 * * [simplify]: iters left: 5 (240 enodes) 186.915 * * [simplify]: Extracting #0: cost 1 inf + 0 186.915 * * [simplify]: Extracting #1: cost 3 inf + 0 186.915 * * [simplify]: Extracting #2: cost 6 inf + 0 186.915 * * [simplify]: Extracting #3: cost 60 inf + 0 186.915 * * [simplify]: Extracting #4: cost 141 inf + 0 186.916 * * [simplify]: Extracting #5: cost 196 inf + 43 186.917 * * [simplify]: Extracting #6: cost 233 inf + 5362 186.920 * * [simplify]: Extracting #7: cost 197 inf + 14589 186.924 * * [simplify]: Extracting #8: cost 135 inf + 28792 186.932 * * [simplify]: Extracting #9: cost 81 inf + 49737 186.944 * * [simplify]: Extracting #10: cost 34 inf + 69417 186.962 * * [simplify]: Extracting #11: cost 6 inf + 98157 186.992 * * [simplify]: Extracting #12: cost 0 inf + 104667 187.013 * * [simplify]: Extracting #13: cost 0 inf + 104427 187.050 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))))) 187.050 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 187.051 * * * * [progress]: [ 373 / 5906 ] simplifiying candidate # 187.051 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 187.052 * * [simplify]: iters left: 6 (43 enodes) 187.073 * * [simplify]: iters left: 5 (204 enodes) 187.138 * * [simplify]: Extracting #0: cost 1 inf + 0 187.138 * * [simplify]: Extracting #1: cost 3 inf + 0 187.138 * * [simplify]: Extracting #2: cost 6 inf + 0 187.138 * * [simplify]: Extracting #3: cost 52 inf + 0 187.139 * * [simplify]: Extracting #4: cost 109 inf + 0 187.139 * * [simplify]: Extracting #5: cost 144 inf + 44 187.140 * * [simplify]: Extracting #6: cost 198 inf + 1964 187.141 * * [simplify]: Extracting #7: cost 188 inf + 5056 187.143 * * [simplify]: Extracting #8: cost 136 inf + 14525 187.149 * * [simplify]: Extracting #9: cost 93 inf + 31843 187.161 * * [simplify]: Extracting #10: cost 45 inf + 48014 187.181 * * [simplify]: Extracting #11: cost 30 inf + 55576 187.211 * * [simplify]: Extracting #12: cost 3 inf + 81291 187.245 * * [simplify]: Extracting #13: cost 0 inf + 85446 187.269 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))))))) 187.269 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 187.270 * * * * [progress]: [ 374 / 5906 ] simplifiying candidate # 187.270 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 187.271 * * [simplify]: iters left: 6 (48 enodes) 187.282 * * [simplify]: iters left: 5 (232 enodes) 187.345 * * [simplify]: Extracting #0: cost 1 inf + 0 187.345 * * [simplify]: Extracting #1: cost 3 inf + 0 187.345 * * [simplify]: Extracting #2: cost 10 inf + 0 187.345 * * [simplify]: Extracting #3: cost 72 inf + 0 187.346 * * [simplify]: Extracting #4: cost 126 inf + 42 187.346 * * [simplify]: Extracting #5: cost 166 inf + 207 187.351 * * [simplify]: Extracting #6: cost 225 inf + 2084 187.353 * * [simplify]: Extracting #7: cost 202 inf + 9194 187.357 * * [simplify]: Extracting #8: cost 135 inf + 23145 187.364 * * [simplify]: Extracting #9: cost 62 inf + 47559 187.375 * * [simplify]: Extracting #10: cost 32 inf + 66257 187.396 * * [simplify]: Extracting #11: cost 4 inf + 94397 187.436 * * [simplify]: Extracting #12: cost 0 inf + 100657 187.475 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) 187.475 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 187.476 * * * * [progress]: [ 375 / 5906 ] simplifiying candidate # 187.476 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 187.477 * * [simplify]: iters left: 6 (43 enodes) 187.502 * * [simplify]: iters left: 5 (204 enodes) 187.542 * * [simplify]: Extracting #0: cost 1 inf + 0 187.542 * * [simplify]: Extracting #1: cost 3 inf + 0 187.542 * * [simplify]: Extracting #2: cost 10 inf + 0 187.542 * * [simplify]: Extracting #3: cost 64 inf + 0 187.542 * * [simplify]: Extracting #4: cost 107 inf + 44 187.543 * * [simplify]: Extracting #5: cost 129 inf + 1187 187.544 * * [simplify]: Extracting #6: cost 191 inf + 2772 187.545 * * [simplify]: Extracting #7: cost 190 inf + 4971 187.550 * * [simplify]: Extracting #8: cost 92 inf + 30720 187.560 * * [simplify]: Extracting #9: cost 32 inf + 56402 187.582 * * [simplify]: Extracting #10: cost 3 inf + 78514 187.602 * * [simplify]: Extracting #11: cost 0 inf + 81816 187.618 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) 187.619 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 187.619 * * * * [progress]: [ 376 / 5906 ] simplifiying candidate # 187.619 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 187.620 * * [simplify]: iters left: 6 (48 enodes) 187.643 * * [simplify]: iters left: 5 (232 enodes) 187.741 * * [simplify]: Extracting #0: cost 1 inf + 0 187.741 * * [simplify]: Extracting #1: cost 3 inf + 0 187.741 * * [simplify]: Extracting #2: cost 10 inf + 0 187.742 * * [simplify]: Extracting #3: cost 72 inf + 0 187.742 * * [simplify]: Extracting #4: cost 126 inf + 42 187.743 * * [simplify]: Extracting #5: cost 165 inf + 249 187.745 * * [simplify]: Extracting #6: cost 223 inf + 2488 187.748 * * [simplify]: Extracting #7: cost 204 inf + 8398 187.756 * * [simplify]: Extracting #8: cost 122 inf + 28672 187.771 * * [simplify]: Extracting #9: cost 61 inf + 48909 187.793 * * [simplify]: Extracting #10: cost 32 inf + 67377 187.827 * * [simplify]: Extracting #11: cost 4 inf + 95517 187.866 * * [simplify]: Extracting #12: cost 0 inf + 101777 187.898 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) 187.899 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 187.899 * * * * [progress]: [ 377 / 5906 ] simplifiying candidate # 187.899 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 187.900 * * [simplify]: iters left: 6 (43 enodes) 187.911 * * [simplify]: iters left: 5 (204 enodes) 187.981 * * [simplify]: Extracting #0: cost 1 inf + 0 187.981 * * [simplify]: Extracting #1: cost 3 inf + 0 187.981 * * [simplify]: Extracting #2: cost 10 inf + 0 187.981 * * [simplify]: Extracting #3: cost 63 inf + 0 187.982 * * [simplify]: Extracting #4: cost 107 inf + 44 187.983 * * [simplify]: Extracting #5: cost 131 inf + 862 187.985 * * [simplify]: Extracting #6: cost 189 inf + 2976 187.987 * * [simplify]: Extracting #7: cost 185 inf + 5256 187.992 * * [simplify]: Extracting #8: cost 138 inf + 13837 188.001 * * [simplify]: Extracting #9: cost 86 inf + 32680 188.012 * * [simplify]: Extracting #10: cost 26 inf + 58512 188.027 * * [simplify]: Extracting #11: cost 2 inf + 79446 188.057 * * [simplify]: Extracting #12: cost 1 inf + 80991 188.089 * * [simplify]: Extracting #13: cost 0 inf + 82536 188.113 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (+ phi2 phi1))))) 188.113 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 188.114 * * * * [progress]: [ 378 / 5906 ] simplifiying candidate # 188.114 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 188.114 * * [simplify]: iters left: 6 (51 enodes) 188.127 * * [simplify]: iters left: 5 (245 enodes) 188.197 * * [simplify]: Extracting #0: cost 1 inf + 0 188.197 * * [simplify]: Extracting #1: cost 3 inf + 0 188.197 * * [simplify]: Extracting #2: cost 6 inf + 0 188.197 * * [simplify]: Extracting #3: cost 56 inf + 0 188.197 * * [simplify]: Extracting #4: cost 130 inf + 0 188.198 * * [simplify]: Extracting #5: cost 205 inf + 0 188.198 * * [simplify]: Extracting #6: cost 276 inf + 1216 188.201 * * [simplify]: Extracting #7: cost 202 inf + 15495 188.205 * * [simplify]: Extracting #8: cost 147 inf + 29949 188.213 * * [simplify]: Extracting #9: cost 96 inf + 49055 188.227 * * [simplify]: Extracting #10: cost 50 inf + 70863 188.265 * * [simplify]: Extracting #11: cost 7 inf + 113898 188.303 * * [simplify]: Extracting #12: cost 0 inf + 122953 188.337 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 188.337 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 188.338 * * * * [progress]: [ 379 / 5906 ] simplifiying candidate # 188.339 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 188.339 * * [simplify]: iters left: 6 (52 enodes) 188.365 * * [simplify]: iters left: 5 (254 enodes) 188.457 * * [simplify]: Extracting #0: cost 1 inf + 0 188.457 * * [simplify]: Extracting #1: cost 3 inf + 0 188.457 * * [simplify]: Extracting #2: cost 6 inf + 0 188.457 * * [simplify]: Extracting #3: cost 60 inf + 0 188.457 * * [simplify]: Extracting #4: cost 153 inf + 0 188.459 * * [simplify]: Extracting #5: cost 219 inf + 44 188.461 * * [simplify]: Extracting #6: cost 262 inf + 3760 188.468 * * [simplify]: Extracting #7: cost 188 inf + 18600 188.480 * * [simplify]: Extracting #8: cost 139 inf + 35782 188.500 * * [simplify]: Extracting #9: cost 91 inf + 57666 188.528 * * [simplify]: Extracting #10: cost 49 inf + 73425 188.570 * * [simplify]: Extracting #11: cost 6 inf + 119260 188.603 * * [simplify]: Extracting #12: cost 1 inf + 125145 188.644 * * [simplify]: Extracting #13: cost 0 inf + 127170 188.697 * * [simplify]: Extracting #14: cost 0 inf + 127130 188.733 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) 188.733 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 188.734 * * * * [progress]: [ 380 / 5906 ] simplifiying candidate # 188.734 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 188.735 * * [simplify]: iters left: 6 (52 enodes) 188.750 * * [simplify]: iters left: 5 (254 enodes) 188.818 * * [simplify]: Extracting #0: cost 1 inf + 0 188.818 * * [simplify]: Extracting #1: cost 3 inf + 0 188.818 * * [simplify]: Extracting #2: cost 6 inf + 0 188.818 * * [simplify]: Extracting #3: cost 62 inf + 0 188.818 * * [simplify]: Extracting #4: cost 151 inf + 0 188.819 * * [simplify]: Extracting #5: cost 215 inf + 44 188.820 * * [simplify]: Extracting #6: cost 258 inf + 3599 188.823 * * [simplify]: Extracting #7: cost 192 inf + 15979 188.829 * * [simplify]: Extracting #8: cost 144 inf + 32656 188.838 * * [simplify]: Extracting #9: cost 91 inf + 57121 188.857 * * [simplify]: Extracting #10: cost 47 inf + 75107 188.896 * * [simplify]: Extracting #11: cost 12 inf + 109262 188.950 * * [simplify]: Extracting #12: cost 1 inf + 122737 188.999 * * [simplify]: Extracting #13: cost 0 inf + 124802 189.047 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1)))))) 189.048 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 189.049 * * * * [progress]: [ 381 / 5906 ] simplifiying candidate # 189.049 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 189.050 * * [simplify]: iters left: 6 (46 enodes) 189.075 * * [simplify]: iters left: 5 (218 enodes) 189.165 * * [simplify]: Extracting #0: cost 1 inf + 0 189.165 * * [simplify]: Extracting #1: cost 3 inf + 0 189.165 * * [simplify]: Extracting #2: cost 6 inf + 0 189.165 * * [simplify]: Extracting #3: cost 54 inf + 0 189.166 * * [simplify]: Extracting #4: cost 119 inf + 0 189.167 * * [simplify]: Extracting #5: cost 163 inf + 44 189.168 * * [simplify]: Extracting #6: cost 222 inf + 1400 189.171 * * [simplify]: Extracting #7: cost 202 inf + 5173 189.179 * * [simplify]: Extracting #8: cost 127 inf + 24893 189.197 * * [simplify]: Extracting #9: cost 57 inf + 54756 189.222 * * [simplify]: Extracting #10: cost 14 inf + 90670 189.243 * * [simplify]: Extracting #11: cost 0 inf + 104061 189.265 * * [simplify]: Extracting #12: cost 0 inf + 103981 189.287 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))))) 189.287 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 189.287 * * * * [progress]: [ 382 / 5906 ] simplifiying candidate # 189.288 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 189.288 * * [simplify]: iters left: 6 (51 enodes) 189.310 * * [simplify]: iters left: 5 (246 enodes) 189.397 * * [simplify]: Extracting #0: cost 1 inf + 0 189.397 * * [simplify]: Extracting #1: cost 3 inf + 0 189.397 * * [simplify]: Extracting #2: cost 10 inf + 0 189.397 * * [simplify]: Extracting #3: cost 74 inf + 0 189.397 * * [simplify]: Extracting #4: cost 137 inf + 1 189.398 * * [simplify]: Extracting #5: cost 184 inf + 249 189.399 * * [simplify]: Extracting #6: cost 240 inf + 2377 189.401 * * [simplify]: Extracting #7: cost 174 inf + 17899 189.410 * * [simplify]: Extracting #8: cost 117 inf + 37640 189.429 * * [simplify]: Extracting #9: cost 63 inf + 60419 189.453 * * [simplify]: Extracting #10: cost 42 inf + 72862 189.482 * * [simplify]: Extracting #11: cost 12 inf + 101132 189.508 * * [simplify]: Extracting #12: cost 1 inf + 114807 189.534 * * [simplify]: Extracting #13: cost 0 inf + 116752 189.575 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) 189.575 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 189.575 * * * * [progress]: [ 383 / 5906 ] simplifiying candidate # 189.576 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 189.576 * * [simplify]: iters left: 6 (46 enodes) 189.588 * * [simplify]: iters left: 5 (218 enodes) 189.645 * * [simplify]: Extracting #0: cost 1 inf + 0 189.645 * * [simplify]: Extracting #1: cost 3 inf + 0 189.645 * * [simplify]: Extracting #2: cost 10 inf + 0 189.645 * * [simplify]: Extracting #3: cost 66 inf + 0 189.645 * * [simplify]: Extracting #4: cost 117 inf + 44 189.645 * * [simplify]: Extracting #5: cost 149 inf + 984 189.646 * * [simplify]: Extracting #6: cost 212 inf + 2975 189.648 * * [simplify]: Extracting #7: cost 207 inf + 4162 189.650 * * [simplify]: Extracting #8: cost 162 inf + 12576 189.655 * * [simplify]: Extracting #9: cost 103 inf + 33553 189.666 * * [simplify]: Extracting #10: cost 41 inf + 59421 189.698 * * [simplify]: Extracting #11: cost 4 inf + 93131 189.736 * * [simplify]: Extracting #12: cost 0 inf + 97991 189.766 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 189.766 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 189.767 * * * * [progress]: [ 384 / 5906 ] simplifiying candidate # 189.767 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 189.767 * * [simplify]: iters left: 6 (51 enodes) 189.782 * * [simplify]: iters left: 5 (246 enodes) 189.850 * * [simplify]: Extracting #0: cost 1 inf + 0 189.850 * * [simplify]: Extracting #1: cost 3 inf + 0 189.850 * * [simplify]: Extracting #2: cost 10 inf + 0 189.850 * * [simplify]: Extracting #3: cost 74 inf + 0 189.851 * * [simplify]: Extracting #4: cost 137 inf + 1 189.851 * * [simplify]: Extracting #5: cost 185 inf + 207 189.853 * * [simplify]: Extracting #6: cost 243 inf + 2214 189.859 * * [simplify]: Extracting #7: cost 178 inf + 17241 189.870 * * [simplify]: Extracting #8: cost 121 inf + 35891 189.890 * * [simplify]: Extracting #9: cost 65 inf + 59689 189.913 * * [simplify]: Extracting #10: cost 48 inf + 68072 189.931 * * [simplify]: Extracting #11: cost 11 inf + 102997 189.963 * * [simplify]: Extracting #12: cost 1 inf + 115607 190.015 * * [simplify]: Extracting #13: cost 0 inf + 117552 190.061 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 190.061 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 190.062 * * * * [progress]: [ 385 / 5906 ] simplifiying candidate # 190.062 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 190.063 * * [simplify]: iters left: 6 (46 enodes) 190.087 * * [simplify]: iters left: 5 (218 enodes) 190.148 * * [simplify]: Extracting #0: cost 1 inf + 0 190.148 * * [simplify]: Extracting #1: cost 3 inf + 0 190.148 * * [simplify]: Extracting #2: cost 10 inf + 0 190.148 * * [simplify]: Extracting #3: cost 65 inf + 0 190.149 * * [simplify]: Extracting #4: cost 117 inf + 44 190.150 * * [simplify]: Extracting #5: cost 149 inf + 904 190.152 * * [simplify]: Extracting #6: cost 212 inf + 2975 190.154 * * [simplify]: Extracting #7: cost 205 inf + 4406 190.159 * * [simplify]: Extracting #8: cost 161 inf + 12858 190.169 * * [simplify]: Extracting #9: cost 106 inf + 32277 190.189 * * [simplify]: Extracting #10: cost 43 inf + 59089 190.207 * * [simplify]: Extracting #11: cost 4 inf + 94251 190.234 * * [simplify]: Extracting #12: cost 0 inf + 99191 190.272 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2)))) (+ phi2 phi1))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 190.272 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2)))) (+ phi2 phi1))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 190.273 * * * * [progress]: [ 386 / 5906 ] simplifiying candidate # 190.274 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 190.275 * * [simplify]: iters left: 6 (50 enodes) 190.303 * * [simplify]: iters left: 5 (240 enodes) 190.391 * * [simplify]: Extracting #0: cost 1 inf + 0 190.391 * * [simplify]: Extracting #1: cost 3 inf + 0 190.391 * * [simplify]: Extracting #2: cost 6 inf + 0 190.391 * * [simplify]: Extracting #3: cost 57 inf + 0 190.391 * * [simplify]: Extracting #4: cost 128 inf + 0 190.392 * * [simplify]: Extracting #5: cost 193 inf + 0 190.393 * * [simplify]: Extracting #6: cost 260 inf + 4065 190.395 * * [simplify]: Extracting #7: cost 206 inf + 16330 190.403 * * [simplify]: Extracting #8: cost 154 inf + 25314 190.412 * * [simplify]: Extracting #9: cost 98 inf + 44227 190.430 * * [simplify]: Extracting #10: cost 58 inf + 59790 190.456 * * [simplify]: Extracting #11: cost 34 inf + 75790 190.496 * * [simplify]: Extracting #12: cost 3 inf + 108525 190.539 * * [simplify]: Extracting #13: cost 0 inf + 112320 190.564 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))))) 190.564 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 190.565 * * * * [progress]: [ 387 / 5906 ] simplifiying candidate # 190.565 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 190.566 * * [simplify]: iters left: 6 (51 enodes) 190.594 * * [simplify]: iters left: 5 (249 enodes) 190.690 * * [simplify]: Extracting #0: cost 1 inf + 0 190.690 * * [simplify]: Extracting #1: cost 3 inf + 0 190.690 * * [simplify]: Extracting #2: cost 6 inf + 0 190.690 * * [simplify]: Extracting #3: cost 61 inf + 0 190.690 * * [simplify]: Extracting #4: cost 151 inf + 0 190.691 * * [simplify]: Extracting #5: cost 207 inf + 44 190.692 * * [simplify]: Extracting #6: cost 246 inf + 5252 190.697 * * [simplify]: Extracting #7: cost 209 inf + 14630 190.701 * * [simplify]: Extracting #8: cost 165 inf + 24175 190.707 * * [simplify]: Extracting #9: cost 108 inf + 40633 190.724 * * [simplify]: Extracting #10: cost 29 inf + 90993 190.746 * * [simplify]: Extracting #11: cost 3 inf + 110102 190.786 * * [simplify]: Extracting #12: cost 0 inf + 114897 190.830 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 190.830 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 190.832 * * * * [progress]: [ 388 / 5906 ] simplifiying candidate # 190.834 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 190.834 * * [simplify]: iters left: 6 (51 enodes) 190.863 * * [simplify]: iters left: 5 (249 enodes) 190.953 * * [simplify]: Extracting #0: cost 1 inf + 0 190.953 * * [simplify]: Extracting #1: cost 3 inf + 0 190.953 * * [simplify]: Extracting #2: cost 6 inf + 0 190.953 * * [simplify]: Extracting #3: cost 63 inf + 0 190.954 * * [simplify]: Extracting #4: cost 149 inf + 0 190.955 * * [simplify]: Extracting #5: cost 203 inf + 44 190.958 * * [simplify]: Extracting #6: cost 238 inf + 5660 190.966 * * [simplify]: Extracting #7: cost 210 inf + 14191 190.975 * * [simplify]: Extracting #8: cost 160 inf + 24704 190.986 * * [simplify]: Extracting #9: cost 110 inf + 37708 191.006 * * [simplify]: Extracting #10: cost 54 inf + 64958 191.044 * * [simplify]: Extracting #11: cost 4 inf + 109109 191.070 * * [simplify]: Extracting #12: cost 0 inf + 112689 191.093 * * [simplify]: Extracting #13: cost 0 inf + 112529 191.121 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 191.121 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 191.122 * * * * [progress]: [ 389 / 5906 ] simplifiying candidate # 191.122 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 191.123 * * [simplify]: iters left: 6 (45 enodes) 191.144 * * [simplify]: iters left: 5 (213 enodes) 191.201 * * [simplify]: Extracting #0: cost 1 inf + 0 191.201 * * [simplify]: Extracting #1: cost 3 inf + 0 191.201 * * [simplify]: Extracting #2: cost 6 inf + 0 191.202 * * [simplify]: Extracting #3: cost 55 inf + 0 191.202 * * [simplify]: Extracting #4: cost 117 inf + 0 191.202 * * [simplify]: Extracting #5: cost 150 inf + 85 191.203 * * [simplify]: Extracting #6: cost 218 inf + 952 191.204 * * [simplify]: Extracting #7: cost 206 inf + 4125 191.215 * * [simplify]: Extracting #8: cost 136 inf + 18898 191.228 * * [simplify]: Extracting #9: cost 73 inf + 40838 191.256 * * [simplify]: Extracting #10: cost 12 inf + 80901 191.290 * * [simplify]: Extracting #11: cost 0 inf + 92388 191.326 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))))) 191.326 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 191.327 * * * * [progress]: [ 390 / 5906 ] simplifiying candidate # 191.327 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 191.328 * * [simplify]: iters left: 6 (50 enodes) 191.353 * * [simplify]: iters left: 5 (241 enodes) 191.426 * * [simplify]: Extracting #0: cost 1 inf + 0 191.426 * * [simplify]: Extracting #1: cost 3 inf + 0 191.426 * * [simplify]: Extracting #2: cost 10 inf + 0 191.426 * * [simplify]: Extracting #3: cost 75 inf + 0 191.427 * * [simplify]: Extracting #4: cost 142 inf + 1 191.427 * * [simplify]: Extracting #5: cost 179 inf + 249 191.428 * * [simplify]: Extracting #6: cost 239 inf + 2456 191.430 * * [simplify]: Extracting #7: cost 213 inf + 10592 191.435 * * [simplify]: Extracting #8: cost 154 inf + 25334 191.447 * * [simplify]: Extracting #9: cost 104 inf + 43766 191.457 * * [simplify]: Extracting #10: cost 64 inf + 57334 191.473 * * [simplify]: Extracting #11: cost 26 inf + 80884 191.493 * * [simplify]: Extracting #12: cost 5 inf + 101849 191.523 * * [simplify]: Extracting #13: cost 1 inf + 107269 191.547 * * [simplify]: Extracting #14: cost 0 inf + 109014 191.568 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) 191.568 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 191.569 * * * * [progress]: [ 391 / 5906 ] simplifiying candidate # 191.569 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 191.569 * * [simplify]: iters left: 6 (45 enodes) 191.586 * * [simplify]: iters left: 5 (213 enodes) 191.638 * * [simplify]: Extracting #0: cost 1 inf + 0 191.638 * * [simplify]: Extracting #1: cost 3 inf + 0 191.638 * * [simplify]: Extracting #2: cost 10 inf + 0 191.638 * * [simplify]: Extracting #3: cost 67 inf + 0 191.639 * * [simplify]: Extracting #4: cost 122 inf + 44 191.639 * * [simplify]: Extracting #5: cost 147 inf + 578 191.640 * * [simplify]: Extracting #6: cost 210 inf + 2934 191.642 * * [simplify]: Extracting #7: cost 212 inf + 3997 191.645 * * [simplify]: Extracting #8: cost 140 inf + 20698 191.660 * * [simplify]: Extracting #9: cost 34 inf + 70338 191.690 * * [simplify]: Extracting #10: cost 2 inf + 90656 191.710 * * [simplify]: Extracting #11: cost 0 inf + 92413 191.738 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (+ phi2 phi1)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1)))))) 191.738 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (+ phi2 phi1)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 191.739 * * * * [progress]: [ 392 / 5906 ] simplifiying candidate # 191.739 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 191.739 * * [simplify]: iters left: 6 (50 enodes) 191.752 * * [simplify]: iters left: 5 (241 enodes) 191.820 * * [simplify]: Extracting #0: cost 1 inf + 0 191.820 * * [simplify]: Extracting #1: cost 3 inf + 0 191.820 * * [simplify]: Extracting #2: cost 10 inf + 0 191.820 * * [simplify]: Extracting #3: cost 75 inf + 0 191.821 * * [simplify]: Extracting #4: cost 142 inf + 1 191.822 * * [simplify]: Extracting #5: cost 180 inf + 207 191.824 * * [simplify]: Extracting #6: cost 239 inf + 2697 191.828 * * [simplify]: Extracting #7: cost 208 inf + 11844 191.836 * * [simplify]: Extracting #8: cost 157 inf + 24678 191.851 * * [simplify]: Extracting #9: cost 104 inf + 44726 191.870 * * [simplify]: Extracting #10: cost 64 inf + 58294 191.902 * * [simplify]: Extracting #11: cost 26 inf + 81844 191.929 * * [simplify]: Extracting #12: cost 5 inf + 102809 191.953 * * [simplify]: Extracting #13: cost 1 inf + 108229 191.974 * * [simplify]: Extracting #14: cost 0 inf + 109974 191.996 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) 191.996 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 191.997 * * * * [progress]: [ 393 / 5906 ] simplifiying candidate # 191.997 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 191.997 * * [simplify]: iters left: 6 (45 enodes) 192.009 * * [simplify]: iters left: 5 (213 enodes) 192.075 * * [simplify]: Extracting #0: cost 1 inf + 0 192.075 * * [simplify]: Extracting #1: cost 3 inf + 0 192.075 * * [simplify]: Extracting #2: cost 10 inf + 0 192.075 * * [simplify]: Extracting #3: cost 66 inf + 0 192.075 * * [simplify]: Extracting #4: cost 122 inf + 44 192.076 * * [simplify]: Extracting #5: cost 145 inf + 783 192.077 * * [simplify]: Extracting #6: cost 210 inf + 2934 192.078 * * [simplify]: Extracting #7: cost 214 inf + 3795 192.081 * * [simplify]: Extracting #8: cost 143 inf + 20054 192.093 * * [simplify]: Extracting #9: cost 34 inf + 69736 192.125 * * [simplify]: Extracting #10: cost 3 inf + 90273 192.152 * * [simplify]: Extracting #11: cost 0 inf + 92493 192.172 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (+ phi2 phi1)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1)))))) 192.172 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (+ phi2 phi1)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 192.173 * * * * [progress]: [ 394 / 5906 ] simplifiying candidate # 192.174 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 192.175 * * [simplify]: iters left: 6 (45 enodes) 192.198 * * [simplify]: iters left: 5 (214 enodes) 192.285 * * [simplify]: Extracting #0: cost 1 inf + 0 192.285 * * [simplify]: Extracting #1: cost 3 inf + 0 192.285 * * [simplify]: Extracting #2: cost 6 inf + 0 192.285 * * [simplify]: Extracting #3: cost 48 inf + 0 192.286 * * [simplify]: Extracting #4: cost 112 inf + 0 192.286 * * [simplify]: Extracting #5: cost 178 inf + 0 192.288 * * [simplify]: Extracting #6: cost 246 inf + 127 192.290 * * [simplify]: Extracting #7: cost 225 inf + 7043 192.299 * * [simplify]: Extracting #8: cost 124 inf + 29555 192.308 * * [simplify]: Extracting #9: cost 49 inf + 56110 192.325 * * [simplify]: Extracting #10: cost 9 inf + 90466 192.357 * * [simplify]: Extracting #11: cost 0 inf + 98929 192.378 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) 192.378 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 192.379 * * * * [progress]: [ 395 / 5906 ] simplifiying candidate # 192.379 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 192.379 * * [simplify]: iters left: 6 (46 enodes) 192.402 * * [simplify]: iters left: 5 (223 enodes) 192.487 * * [simplify]: Extracting #0: cost 1 inf + 0 192.487 * * [simplify]: Extracting #1: cost 3 inf + 0 192.487 * * [simplify]: Extracting #2: cost 6 inf + 0 192.487 * * [simplify]: Extracting #3: cost 52 inf + 0 192.488 * * [simplify]: Extracting #4: cost 135 inf + 0 192.488 * * [simplify]: Extracting #5: cost 191 inf + 126 192.489 * * [simplify]: Extracting #6: cost 232 inf + 6000 192.491 * * [simplify]: Extracting #7: cost 195 inf + 13960 192.495 * * [simplify]: Extracting #8: cost 127 inf + 26606 192.504 * * [simplify]: Extracting #9: cost 59 inf + 51665 192.533 * * [simplify]: Extracting #10: cost 9 inf + 94009 192.560 * * [simplify]: Extracting #11: cost 0 inf + 101506 192.586 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) 192.586 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 192.587 * * * * [progress]: [ 396 / 5906 ] simplifiying candidate # 192.588 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 192.588 * * [simplify]: iters left: 6 (46 enodes) 192.609 * * [simplify]: iters left: 5 (223 enodes) 192.677 * * [simplify]: Extracting #0: cost 1 inf + 0 192.678 * * [simplify]: Extracting #1: cost 3 inf + 0 192.678 * * [simplify]: Extracting #2: cost 6 inf + 0 192.678 * * [simplify]: Extracting #3: cost 54 inf + 0 192.678 * * [simplify]: Extracting #4: cost 133 inf + 0 192.679 * * [simplify]: Extracting #5: cost 184 inf + 412 192.682 * * [simplify]: Extracting #6: cost 222 inf + 6391 192.686 * * [simplify]: Extracting #7: cost 192 inf + 14620 192.694 * * [simplify]: Extracting #8: cost 121 inf + 28091 192.711 * * [simplify]: Extracting #9: cost 57 inf + 52724 192.743 * * [simplify]: Extracting #10: cost 8 inf + 93147 192.782 * * [simplify]: Extracting #11: cost 0 inf + 99458 192.823 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (- phi1 phi2))))))) 192.823 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (- phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 192.824 * * * * [progress]: [ 397 / 5906 ] simplifiying candidate # 192.825 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 192.825 * * [simplify]: iters left: 6 (40 enodes) 192.845 * * [simplify]: iters left: 5 (187 enodes) 192.886 * * [simplify]: Extracting #0: cost 1 inf + 0 192.886 * * [simplify]: Extracting #1: cost 3 inf + 0 192.886 * * [simplify]: Extracting #2: cost 6 inf + 0 192.886 * * [simplify]: Extracting #3: cost 46 inf + 0 192.887 * * [simplify]: Extracting #4: cost 101 inf + 0 192.887 * * [simplify]: Extracting #5: cost 134 inf + 166 192.889 * * [simplify]: Extracting #6: cost 182 inf + 1639 192.891 * * [simplify]: Extracting #7: cost 177 inf + 3348 192.896 * * [simplify]: Extracting #8: cost 115 inf + 19187 192.907 * * [simplify]: Extracting #9: cost 62 inf + 39456 192.920 * * [simplify]: Extracting #10: cost 15 inf + 65593 192.939 * * [simplify]: Extracting #11: cost 0 inf + 78557 192.955 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) (* (- phi1 phi2) (+ phi2 phi1))))) 192.955 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) (* (- phi1 phi2) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 192.956 * * * * [progress]: [ 398 / 5906 ] simplifiying candidate # 192.956 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 192.956 * * [simplify]: iters left: 6 (45 enodes) 192.968 * * [simplify]: iters left: 5 (216 enodes) 193.014 * * [simplify]: Extracting #0: cost 1 inf + 0 193.014 * * [simplify]: Extracting #1: cost 3 inf + 0 193.014 * * [simplify]: Extracting #2: cost 10 inf + 0 193.014 * * [simplify]: Extracting #3: cost 62 inf + 0 193.014 * * [simplify]: Extracting #4: cost 116 inf + 1 193.015 * * [simplify]: Extracting #5: cost 156 inf + 165 193.015 * * [simplify]: Extracting #6: cost 218 inf + 791 193.017 * * [simplify]: Extracting #7: cost 194 inf + 7599 193.021 * * [simplify]: Extracting #8: cost 101 inf + 35658 193.031 * * [simplify]: Extracting #9: cost 30 inf + 62463 193.051 * * [simplify]: Extracting #10: cost 2 inf + 89683 193.085 * * [simplify]: Extracting #11: cost 0 inf + 91493 193.103 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))))) 193.103 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 193.104 * * * * [progress]: [ 399 / 5906 ] simplifiying candidate # 193.104 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 193.104 * * [simplify]: iters left: 6 (40 enodes) 193.114 * * [simplify]: iters left: 5 (188 enodes) 193.151 * * [simplify]: iters left: 4 (486 enodes) 193.383 * * [simplify]: Extracting #0: cost 1 inf + 0 193.384 * * [simplify]: Extracting #1: cost 3 inf + 0 193.384 * * [simplify]: Extracting #2: cost 13 inf + 0 193.384 * * [simplify]: Extracting #3: cost 110 inf + 0 193.385 * * [simplify]: Extracting #4: cost 242 inf + 85 193.391 * * [simplify]: Extracting #5: cost 342 inf + 2814 193.394 * * [simplify]: Extracting #6: cost 463 inf + 6228 193.400 * * [simplify]: Extracting #7: cost 525 inf + 13212 193.420 * * [simplify]: Extracting #8: cost 388 inf + 48735 193.467 * * [simplify]: Extracting #9: cost 182 inf + 142907 193.528 * * [simplify]: Extracting #10: cost 27 inf + 216105 193.609 * * [simplify]: Extracting #11: cost 2 inf + 238677 193.700 * * [simplify]: Extracting #12: cost 0 inf + 240887 193.812 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 193.812 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 193.813 * * * * [progress]: [ 400 / 5906 ] simplifiying candidate # 193.814 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 193.814 * * [simplify]: iters left: 6 (45 enodes) 193.837 * * [simplify]: iters left: 5 (216 enodes) 193.920 * * [simplify]: Extracting #0: cost 1 inf + 0 193.920 * * [simplify]: Extracting #1: cost 3 inf + 0 193.920 * * [simplify]: Extracting #2: cost 10 inf + 0 193.920 * * [simplify]: Extracting #3: cost 62 inf + 0 193.920 * * [simplify]: Extracting #4: cost 116 inf + 1 193.921 * * [simplify]: Extracting #5: cost 156 inf + 165 193.922 * * [simplify]: Extracting #6: cost 211 inf + 2488 193.923 * * [simplify]: Extracting #7: cost 187 inf + 9274 193.928 * * [simplify]: Extracting #8: cost 100 inf + 36682 193.938 * * [simplify]: Extracting #9: cost 27 inf + 65418 193.955 * * [simplify]: Extracting #10: cost 3 inf + 88898 193.975 * * [simplify]: Extracting #11: cost 0 inf + 92293 193.995 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))))) 193.995 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 193.997 * * * * [progress]: [ 401 / 5906 ] simplifiying candidate # 193.998 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 193.998 * * [simplify]: iters left: 6 (40 enodes) 194.018 * * [simplify]: iters left: 5 (188 enodes) 194.088 * * [simplify]: iters left: 4 (486 enodes) 194.359 * * [simplify]: Extracting #0: cost 1 inf + 0 194.359 * * [simplify]: Extracting #1: cost 3 inf + 0 194.359 * * [simplify]: Extracting #2: cost 13 inf + 0 194.359 * * [simplify]: Extracting #3: cost 107 inf + 0 194.360 * * [simplify]: Extracting #4: cost 251 inf + 44 194.362 * * [simplify]: Extracting #5: cost 346 inf + 3420 194.365 * * [simplify]: Extracting #6: cost 469 inf + 6148 194.374 * * [simplify]: Extracting #7: cost 515 inf + 23315 194.423 * * [simplify]: Extracting #8: cost 222 inf + 124028 194.514 * * [simplify]: Extracting #9: cost 47 inf + 210012 194.620 * * [simplify]: Extracting #10: cost 3 inf + 241496 194.732 * * [simplify]: Extracting #11: cost 0 inf + 242905 194.807 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (* (- phi1 phi2) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (+ phi2 phi1)))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (+ phi2 phi1)))) 194.808 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (* (- phi1 phi2) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (+ phi2 phi1)))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (+ phi2 phi1)))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 194.808 * * * * [progress]: [ 402 / 5906 ] simplifiying candidate # 194.809 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 194.809 * * [simplify]: iters left: 6 (52 enodes) 194.827 * * [simplify]: iters left: 5 (255 enodes) 194.915 * * [simplify]: Extracting #0: cost 1 inf + 0 194.915 * * [simplify]: Extracting #1: cost 3 inf + 0 194.915 * * [simplify]: Extracting #2: cost 6 inf + 0 194.918 * * [simplify]: Extracting #3: cost 56 inf + 0 194.918 * * [simplify]: Extracting #4: cost 130 inf + 0 194.919 * * [simplify]: Extracting #5: cost 214 inf + 0 194.919 * * [simplify]: Extracting #6: cost 311 inf + 722 194.921 * * [simplify]: Extracting #7: cost 270 inf + 8365 194.928 * * [simplify]: Extracting #8: cost 141 inf + 39239 194.949 * * [simplify]: Extracting #9: cost 66 inf + 65277 194.969 * * [simplify]: Extracting #10: cost 18 inf + 110837 195.006 * * [simplify]: Extracting #11: cost 1 inf + 130260 195.037 * * [simplify]: Extracting #12: cost 0 inf + 132285 195.083 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 195.083 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 195.084 * * * * [progress]: [ 403 / 5906 ] simplifiying candidate # 195.085 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 195.086 * * [simplify]: iters left: 6 (53 enodes) 195.112 * * [simplify]: iters left: 5 (264 enodes) 195.211 * * [simplify]: Extracting #0: cost 1 inf + 0 195.211 * * [simplify]: Extracting #1: cost 3 inf + 0 195.211 * * [simplify]: Extracting #2: cost 6 inf + 0 195.211 * * [simplify]: Extracting #3: cost 60 inf + 0 195.211 * * [simplify]: Extracting #4: cost 153 inf + 0 195.212 * * [simplify]: Extracting #5: cost 228 inf + 44 195.213 * * [simplify]: Extracting #6: cost 288 inf + 4643 195.216 * * [simplify]: Extracting #7: cost 263 inf + 11179 195.225 * * [simplify]: Extracting #8: cost 184 inf + 24682 195.240 * * [simplify]: Extracting #9: cost 104 inf + 55395 195.253 * * [simplify]: Extracting #10: cost 55 inf + 77809 195.276 * * [simplify]: Extracting #11: cost 10 inf + 123452 195.315 * * [simplify]: Extracting #12: cost 0 inf + 135222 195.364 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 195.364 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 195.365 * * * * [progress]: [ 404 / 5906 ] simplifiying candidate # 195.365 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 195.365 * * [simplify]: iters left: 6 (53 enodes) 195.379 * * [simplify]: iters left: 5 (264 enodes) 195.470 * * [simplify]: Extracting #0: cost 1 inf + 0 195.470 * * [simplify]: Extracting #1: cost 3 inf + 0 195.470 * * [simplify]: Extracting #2: cost 6 inf + 0 195.471 * * [simplify]: Extracting #3: cost 62 inf + 0 195.471 * * [simplify]: Extracting #4: cost 151 inf + 0 195.472 * * [simplify]: Extracting #5: cost 224 inf + 44 195.475 * * [simplify]: Extracting #6: cost 292 inf + 3585 195.480 * * [simplify]: Extracting #7: cost 253 inf + 12117 195.490 * * [simplify]: Extracting #8: cost 164 inf + 31870 195.513 * * [simplify]: Extracting #9: cost 68 inf + 68024 195.556 * * [simplify]: Extracting #10: cost 10 inf + 122484 195.613 * * [simplify]: Extracting #11: cost 0 inf + 134494 195.663 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))) (* (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 195.663 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))) (* (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 195.664 * * * * [progress]: [ 405 / 5906 ] simplifiying candidate # 195.664 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 195.665 * * [simplify]: iters left: 6 (47 enodes) 195.677 * * [simplify]: iters left: 5 (228 enodes) 195.733 * * [simplify]: Extracting #0: cost 1 inf + 0 195.733 * * [simplify]: Extracting #1: cost 3 inf + 0 195.733 * * [simplify]: Extracting #2: cost 6 inf + 0 195.733 * * [simplify]: Extracting #3: cost 54 inf + 0 195.734 * * [simplify]: Extracting #4: cost 119 inf + 0 195.734 * * [simplify]: Extracting #5: cost 172 inf + 44 195.736 * * [simplify]: Extracting #6: cost 253 inf + 1273 195.739 * * [simplify]: Extracting #7: cost 240 inf + 3837 195.745 * * [simplify]: Extracting #8: cost 160 inf + 19876 195.759 * * [simplify]: Extracting #9: cost 99 inf + 40058 195.776 * * [simplify]: Extracting #10: cost 40 inf + 74120 195.797 * * [simplify]: Extracting #11: cost 3 inf + 106278 195.836 * * [simplify]: Extracting #12: cost 0 inf + 109553 195.867 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) 195.867 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 195.868 * * * * [progress]: [ 406 / 5906 ] simplifiying candidate # 195.868 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 195.868 * * [simplify]: iters left: 6 (52 enodes) 195.882 * * [simplify]: iters left: 5 (256 enodes) 195.988 * * [simplify]: Extracting #0: cost 1 inf + 0 195.988 * * [simplify]: Extracting #1: cost 3 inf + 0 195.988 * * [simplify]: Extracting #2: cost 10 inf + 0 195.989 * * [simplify]: Extracting #3: cost 74 inf + 0 195.989 * * [simplify]: Extracting #4: cost 136 inf + 42 195.990 * * [simplify]: Extracting #5: cost 194 inf + 207 195.992 * * [simplify]: Extracting #6: cost 276 inf + 2804 195.996 * * [simplify]: Extracting #7: cost 251 inf + 8359 196.002 * * [simplify]: Extracting #8: cost 176 inf + 23203 196.016 * * [simplify]: Extracting #9: cost 115 inf + 42366 196.042 * * [simplify]: Extracting #10: cost 44 inf + 77506 196.083 * * [simplify]: Extracting #11: cost 11 inf + 113569 196.124 * * [simplify]: Extracting #12: cost 0 inf + 124684 196.152 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) 196.152 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 196.153 * * * * [progress]: [ 407 / 5906 ] simplifiying candidate # 196.154 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 196.154 * * [simplify]: iters left: 6 (47 enodes) 196.179 * * [simplify]: iters left: 5 (228 enodes) 196.253 * * [simplify]: Extracting #0: cost 1 inf + 0 196.253 * * [simplify]: Extracting #1: cost 3 inf + 0 196.253 * * [simplify]: Extracting #2: cost 10 inf + 0 196.253 * * [simplify]: Extracting #3: cost 66 inf + 0 196.253 * * [simplify]: Extracting #4: cost 117 inf + 44 196.254 * * [simplify]: Extracting #5: cost 157 inf + 1186 196.255 * * [simplify]: Extracting #6: cost 241 inf + 2972 196.256 * * [simplify]: Extracting #7: cost 241 inf + 3587 196.260 * * [simplify]: Extracting #8: cost 144 inf + 24435 196.270 * * [simplify]: Extracting #9: cost 65 inf + 54421 196.287 * * [simplify]: Extracting #10: cost 13 inf + 91285 196.324 * * [simplify]: Extracting #11: cost 1 inf + 101818 196.363 * * [simplify]: Extracting #12: cost 0 inf + 103603 196.395 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 196.395 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 196.396 * * * * [progress]: [ 408 / 5906 ] simplifiying candidate # 196.396 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 196.396 * * [simplify]: iters left: 6 (52 enodes) 196.409 * * [simplify]: iters left: 5 (256 enodes) 196.493 * * [simplify]: Extracting #0: cost 1 inf + 0 196.494 * * [simplify]: Extracting #1: cost 3 inf + 0 196.494 * * [simplify]: Extracting #2: cost 10 inf + 0 196.494 * * [simplify]: Extracting #3: cost 74 inf + 0 196.494 * * [simplify]: Extracting #4: cost 136 inf + 42 196.495 * * [simplify]: Extracting #5: cost 194 inf + 207 196.496 * * [simplify]: Extracting #6: cost 271 inf + 3531 196.498 * * [simplify]: Extracting #7: cost 251 inf + 8479 196.501 * * [simplify]: Extracting #8: cost 176 inf + 23203 196.507 * * [simplify]: Extracting #9: cost 116 inf + 41522 196.520 * * [simplify]: Extracting #10: cost 43 inf + 78571 196.557 * * [simplify]: Extracting #11: cost 12 inf + 113784 196.606 * * [simplify]: Extracting #12: cost 0 inf + 125644 196.660 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) 196.660 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 196.662 * * * * [progress]: [ 409 / 5906 ] simplifiying candidate # 196.662 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 196.663 * * [simplify]: iters left: 6 (47 enodes) 196.687 * * [simplify]: iters left: 5 (228 enodes) 196.751 * * [simplify]: Extracting #0: cost 1 inf + 0 196.751 * * [simplify]: Extracting #1: cost 3 inf + 0 196.751 * * [simplify]: Extracting #2: cost 10 inf + 0 196.751 * * [simplify]: Extracting #3: cost 65 inf + 0 196.751 * * [simplify]: Extracting #4: cost 116 inf + 86 196.752 * * [simplify]: Extracting #5: cost 152 inf + 1876 196.753 * * [simplify]: Extracting #6: cost 241 inf + 2932 196.754 * * [simplify]: Extracting #7: cost 242 inf + 3466 196.758 * * [simplify]: Extracting #8: cost 145 inf + 23909 196.767 * * [simplify]: Extracting #9: cost 64 inf + 55012 196.783 * * [simplify]: Extracting #10: cost 14 inf + 90740 196.803 * * [simplify]: Extracting #11: cost 1 inf + 102058 196.825 * * [simplify]: Extracting #12: cost 0 inf + 103843 196.847 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 196.847 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 196.848 * * * * [progress]: [ 410 / 5906 ] simplifiying candidate # 196.848 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 196.849 * * [simplify]: iters left: 6 (52 enodes) 196.862 * * [simplify]: iters left: 5 (254 enodes) 196.953 * * [simplify]: Extracting #0: cost 1 inf + 0 196.953 * * [simplify]: Extracting #1: cost 3 inf + 0 196.953 * * [simplify]: Extracting #2: cost 6 inf + 0 196.954 * * [simplify]: Extracting #3: cost 56 inf + 0 196.954 * * [simplify]: Extracting #4: cost 130 inf + 0 196.955 * * [simplify]: Extracting #5: cost 215 inf + 0 196.956 * * [simplify]: Extracting #6: cost 302 inf + 1688 196.960 * * [simplify]: Extracting #7: cost 255 inf + 12227 196.968 * * [simplify]: Extracting #8: cost 149 inf + 33413 196.987 * * [simplify]: Extracting #9: cost 68 inf + 63514 197.024 * * [simplify]: Extracting #10: cost 17 inf + 108865 197.074 * * [simplify]: Extracting #11: cost 1 inf + 126423 197.123 * * [simplify]: Extracting #12: cost 0 inf + 128368 197.171 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 197.171 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 197.172 * * * * [progress]: [ 411 / 5906 ] simplifiying candidate # 197.172 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 197.173 * * [simplify]: iters left: 6 (53 enodes) 197.197 * * [simplify]: iters left: 5 (263 enodes) 197.290 * * [simplify]: Extracting #0: cost 1 inf + 0 197.291 * * [simplify]: Extracting #1: cost 3 inf + 0 197.291 * * [simplify]: Extracting #2: cost 6 inf + 0 197.291 * * [simplify]: Extracting #3: cost 60 inf + 0 197.291 * * [simplify]: Extracting #4: cost 153 inf + 0 197.292 * * [simplify]: Extracting #5: cost 228 inf + 85 197.293 * * [simplify]: Extracting #6: cost 280 inf + 4562 197.296 * * [simplify]: Extracting #7: cost 253 inf + 12405 197.300 * * [simplify]: Extracting #8: cost 175 inf + 25107 197.313 * * [simplify]: Extracting #9: cost 107 inf + 52412 197.335 * * [simplify]: Extracting #10: cost 48 inf + 81305 197.359 * * [simplify]: Extracting #11: cost 9 inf + 122120 197.397 * * [simplify]: Extracting #12: cost 0 inf + 133145 197.442 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2)))))) (cbrt (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 197.442 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2)))))) (cbrt (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 197.444 * * * * [progress]: [ 412 / 5906 ] simplifiying candidate # 197.444 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 197.445 * * [simplify]: iters left: 6 (53 enodes) 197.475 * * [simplify]: iters left: 5 (263 enodes) 197.589 * * [simplify]: Extracting #0: cost 1 inf + 0 197.589 * * [simplify]: Extracting #1: cost 3 inf + 0 197.589 * * [simplify]: Extracting #2: cost 6 inf + 0 197.589 * * [simplify]: Extracting #3: cost 62 inf + 0 197.590 * * [simplify]: Extracting #4: cost 151 inf + 0 197.591 * * [simplify]: Extracting #5: cost 225 inf + 44 197.593 * * [simplify]: Extracting #6: cost 284 inf + 3549 197.599 * * [simplify]: Extracting #7: cost 250 inf + 12062 197.607 * * [simplify]: Extracting #8: cost 177 inf + 25411 197.622 * * [simplify]: Extracting #9: cost 104 inf + 52434 197.635 * * [simplify]: Extracting #10: cost 53 inf + 76974 197.659 * * [simplify]: Extracting #11: cost 36 inf + 89157 197.705 * * [simplify]: Extracting #12: cost 3 inf + 126422 197.741 * * [simplify]: Extracting #13: cost 0 inf + 131857 197.776 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 197.776 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 197.777 * * * * [progress]: [ 413 / 5906 ] simplifiying candidate # 197.777 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 197.777 * * [simplify]: iters left: 6 (47 enodes) 197.789 * * [simplify]: iters left: 5 (227 enodes) 197.867 * * [simplify]: Extracting #0: cost 1 inf + 0 197.867 * * [simplify]: Extracting #1: cost 3 inf + 0 197.867 * * [simplify]: Extracting #2: cost 6 inf + 0 197.868 * * [simplify]: Extracting #3: cost 54 inf + 0 197.868 * * [simplify]: Extracting #4: cost 119 inf + 0 197.869 * * [simplify]: Extracting #5: cost 173 inf + 44 197.869 * * [simplify]: Extracting #6: cost 247 inf + 1193 197.871 * * [simplify]: Extracting #7: cost 230 inf + 4121 197.875 * * [simplify]: Extracting #8: cost 138 inf + 25008 197.884 * * [simplify]: Extracting #9: cost 68 inf + 53494 197.907 * * [simplify]: Extracting #10: cost 26 inf + 82331 197.950 * * [simplify]: Extracting #11: cost 1 inf + 108331 197.995 * * [simplify]: Extracting #12: cost 0 inf + 109716 198.040 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))))))))) 198.040 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 198.041 * * * * [progress]: [ 414 / 5906 ] simplifiying candidate # 198.042 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 198.042 * * [simplify]: iters left: 6 (52 enodes) 198.061 * * [simplify]: iters left: 5 (255 enodes) 198.120 * * [simplify]: Extracting #0: cost 1 inf + 0 198.120 * * [simplify]: Extracting #1: cost 3 inf + 0 198.120 * * [simplify]: Extracting #2: cost 10 inf + 0 198.121 * * [simplify]: Extracting #3: cost 74 inf + 0 198.121 * * [simplify]: Extracting #4: cost 137 inf + 1 198.122 * * [simplify]: Extracting #5: cost 195 inf + 207 198.124 * * [simplify]: Extracting #6: cost 265 inf + 3010 198.127 * * [simplify]: Extracting #7: cost 249 inf + 7378 198.133 * * [simplify]: Extracting #8: cost 168 inf + 22073 198.144 * * [simplify]: Extracting #9: cost 109 inf + 43162 198.160 * * [simplify]: Extracting #10: cost 51 inf + 71452 198.178 * * [simplify]: Extracting #11: cost 29 inf + 91202 198.211 * * [simplify]: Extracting #12: cost 1 inf + 121462 198.239 * * [simplify]: Extracting #13: cost 0 inf + 123407 198.295 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 198.295 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 198.296 * * * * [progress]: [ 415 / 5906 ] simplifiying candidate # 198.296 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 198.297 * * [simplify]: iters left: 6 (47 enodes) 198.323 * * [simplify]: iters left: 5 (227 enodes) 198.409 * * [simplify]: Extracting #0: cost 1 inf + 0 198.409 * * [simplify]: Extracting #1: cost 3 inf + 0 198.409 * * [simplify]: Extracting #2: cost 10 inf + 0 198.409 * * [simplify]: Extracting #3: cost 66 inf + 0 198.410 * * [simplify]: Extracting #4: cost 117 inf + 44 198.411 * * [simplify]: Extracting #5: cost 157 inf + 1228 198.413 * * [simplify]: Extracting #6: cost 234 inf + 2932 198.415 * * [simplify]: Extracting #7: cost 233 inf + 3591 198.422 * * [simplify]: Extracting #8: cost 145 inf + 21402 198.439 * * [simplify]: Extracting #9: cost 60 inf + 56601 198.467 * * [simplify]: Extracting #10: cost 14 inf + 89838 198.488 * * [simplify]: Extracting #11: cost 1 inf + 100621 198.523 * * [simplify]: Extracting #12: cost 0 inf + 102406 198.545 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 198.545 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 198.546 * * * * [progress]: [ 416 / 5906 ] simplifiying candidate # 198.546 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 198.546 * * [simplify]: iters left: 6 (52 enodes) 198.566 * * [simplify]: iters left: 5 (255 enodes) 198.626 * * [simplify]: Extracting #0: cost 1 inf + 0 198.626 * * [simplify]: Extracting #1: cost 3 inf + 0 198.626 * * [simplify]: Extracting #2: cost 10 inf + 0 198.626 * * [simplify]: Extracting #3: cost 74 inf + 0 198.627 * * [simplify]: Extracting #4: cost 137 inf + 1 198.627 * * [simplify]: Extracting #5: cost 195 inf + 207 198.628 * * [simplify]: Extracting #6: cost 266 inf + 2927 198.630 * * [simplify]: Extracting #7: cost 246 inf + 8626 198.633 * * [simplify]: Extracting #8: cost 166 inf + 21836 198.640 * * [simplify]: Extracting #9: cost 114 inf + 40108 198.658 * * [simplify]: Extracting #10: cost 63 inf + 63585 198.681 * * [simplify]: Extracting #11: cost 35 inf + 83172 198.707 * * [simplify]: Extracting #12: cost 3 inf + 119172 198.748 * * [simplify]: Extracting #13: cost 0 inf + 124367 198.774 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) 198.774 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 198.775 * * * * [progress]: [ 417 / 5906 ] simplifiying candidate # 198.775 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 198.776 * * [simplify]: iters left: 6 (47 enodes) 198.788 * * [simplify]: iters left: 5 (227 enodes) 198.869 * * [simplify]: Extracting #0: cost 1 inf + 0 198.869 * * [simplify]: Extracting #1: cost 3 inf + 0 198.869 * * [simplify]: Extracting #2: cost 10 inf + 0 198.869 * * [simplify]: Extracting #3: cost 65 inf + 0 198.870 * * [simplify]: Extracting #4: cost 116 inf + 86 198.871 * * [simplify]: Extracting #5: cost 153 inf + 1836 198.873 * * [simplify]: Extracting #6: cost 234 inf + 2932 198.876 * * [simplify]: Extracting #7: cost 233 inf + 3591 198.883 * * [simplify]: Extracting #8: cost 145 inf + 21523 198.900 * * [simplify]: Extracting #9: cost 60 inf + 56843 198.933 * * [simplify]: Extracting #10: cost 14 inf + 89876 198.955 * * [simplify]: Extracting #11: cost 1 inf + 101021 198.977 * * [simplify]: Extracting #12: cost 0 inf + 102806 199.011 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 199.011 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 199.012 * * * * [progress]: [ 418 / 5906 ] simplifiying candidate # 199.012 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 199.012 * * [simplify]: iters left: 6 (52 enodes) 199.025 * * [simplify]: iters left: 5 (255 enodes) 199.098 * * [simplify]: Extracting #0: cost 1 inf + 0 199.098 * * [simplify]: Extracting #1: cost 3 inf + 0 199.098 * * [simplify]: Extracting #2: cost 6 inf + 0 199.098 * * [simplify]: Extracting #3: cost 56 inf + 0 199.099 * * [simplify]: Extracting #4: cost 130 inf + 0 199.099 * * [simplify]: Extracting #5: cost 207 inf + 0 199.101 * * [simplify]: Extracting #6: cost 298 inf + 933 199.104 * * [simplify]: Extracting #7: cost 262 inf + 7787 199.113 * * [simplify]: Extracting #8: cost 149 inf + 34798 199.123 * * [simplify]: Extracting #9: cost 68 inf + 62935 199.147 * * [simplify]: Extracting #10: cost 20 inf + 104800 199.171 * * [simplify]: Extracting #11: cost 4 inf + 120306 199.212 * * [simplify]: Extracting #12: cost 0 inf + 127145 199.238 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) 199.238 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 199.240 * * * * [progress]: [ 419 / 5906 ] simplifiying candidate # 199.240 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 199.241 * * [simplify]: iters left: 6 (53 enodes) 199.269 * * [simplify]: iters left: 5 (264 enodes) 199.366 * * [simplify]: Extracting #0: cost 1 inf + 0 199.366 * * [simplify]: Extracting #1: cost 3 inf + 0 199.366 * * [simplify]: Extracting #2: cost 6 inf + 0 199.367 * * [simplify]: Extracting #3: cost 60 inf + 0 199.367 * * [simplify]: Extracting #4: cost 153 inf + 0 199.367 * * [simplify]: Extracting #5: cost 221 inf + 44 199.369 * * [simplify]: Extracting #6: cost 275 inf + 4803 199.371 * * [simplify]: Extracting #7: cost 243 inf + 11600 199.375 * * [simplify]: Extracting #8: cost 177 inf + 25254 199.392 * * [simplify]: Extracting #9: cost 116 inf + 44527 199.404 * * [simplify]: Extracting #10: cost 52 inf + 75264 199.432 * * [simplify]: Extracting #11: cost 8 inf + 120282 199.463 * * [simplify]: Extracting #12: cost 0 inf + 129962 199.495 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 199.495 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 199.495 * * * * [progress]: [ 420 / 5906 ] simplifiying candidate # 199.496 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 199.496 * * [simplify]: iters left: 6 (53 enodes) 199.518 * * [simplify]: iters left: 5 (264 enodes) 199.624 * * [simplify]: Extracting #0: cost 1 inf + 0 199.624 * * [simplify]: Extracting #1: cost 3 inf + 0 199.624 * * [simplify]: Extracting #2: cost 6 inf + 0 199.624 * * [simplify]: Extracting #3: cost 62 inf + 0 199.625 * * [simplify]: Extracting #4: cost 151 inf + 0 199.626 * * [simplify]: Extracting #5: cost 217 inf + 44 199.628 * * [simplify]: Extracting #6: cost 274 inf + 4475 199.635 * * [simplify]: Extracting #7: cost 243 inf + 11912 199.639 * * [simplify]: Extracting #8: cost 179 inf + 23430 199.646 * * [simplify]: Extracting #9: cost 119 inf + 43727 199.658 * * [simplify]: Extracting #10: cost 52 inf + 75056 199.687 * * [simplify]: Extracting #11: cost 15 inf + 112259 199.729 * * [simplify]: Extracting #12: cost 0 inf + 127994 199.761 * * [simplify]: Extracting #13: cost 0 inf + 127554 199.811 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 199.811 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 199.812 * * * * [progress]: [ 421 / 5906 ] simplifiying candidate # 199.812 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 199.813 * * [simplify]: iters left: 6 (47 enodes) 199.837 * * [simplify]: iters left: 5 (228 enodes) 199.928 * * [simplify]: Extracting #0: cost 1 inf + 0 199.928 * * [simplify]: Extracting #1: cost 3 inf + 0 199.928 * * [simplify]: Extracting #2: cost 6 inf + 0 199.928 * * [simplify]: Extracting #3: cost 54 inf + 0 199.928 * * [simplify]: Extracting #4: cost 119 inf + 0 199.928 * * [simplify]: Extracting #5: cost 165 inf + 44 199.929 * * [simplify]: Extracting #6: cost 241 inf + 1152 199.930 * * [simplify]: Extracting #7: cost 224 inf + 4001 199.934 * * [simplify]: Extracting #8: cost 161 inf + 20139 199.942 * * [simplify]: Extracting #9: cost 83 inf + 48109 199.952 * * [simplify]: Extracting #10: cost 46 inf + 61756 199.965 * * [simplify]: Extracting #11: cost 27 inf + 74218 199.984 * * [simplify]: Extracting #12: cost 3 inf + 99938 200.014 * * [simplify]: Extracting #13: cost 1 inf + 103628 200.058 * * [simplify]: Extracting #14: cost 0 inf + 105493 200.100 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) 200.100 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 200.101 * * * * [progress]: [ 422 / 5906 ] simplifiying candidate # 200.101 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 200.102 * * [simplify]: iters left: 6 (52 enodes) 200.127 * * [simplify]: iters left: 5 (256 enodes) 200.224 * * [simplify]: Extracting #0: cost 1 inf + 0 200.224 * * [simplify]: Extracting #1: cost 3 inf + 0 200.224 * * [simplify]: Extracting #2: cost 10 inf + 0 200.224 * * [simplify]: Extracting #3: cost 74 inf + 0 200.224 * * [simplify]: Extracting #4: cost 137 inf + 1 200.225 * * [simplify]: Extracting #5: cost 187 inf + 207 200.226 * * [simplify]: Extracting #6: cost 265 inf + 2080 200.228 * * [simplify]: Extracting #7: cost 233 inf + 9522 200.233 * * [simplify]: Extracting #8: cost 145 inf + 34200 200.243 * * [simplify]: Extracting #9: cost 62 inf + 63799 200.263 * * [simplify]: Extracting #10: cost 9 inf + 108262 200.308 * * [simplify]: Extracting #11: cost 0 inf + 119904 200.352 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) 200.352 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 200.353 * * * * [progress]: [ 423 / 5906 ] simplifiying candidate # 200.353 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 200.353 * * [simplify]: iters left: 6 (47 enodes) 200.365 * * [simplify]: iters left: 5 (228 enodes) 200.454 * * [simplify]: Extracting #0: cost 1 inf + 0 200.454 * * [simplify]: Extracting #1: cost 3 inf + 0 200.454 * * [simplify]: Extracting #2: cost 10 inf + 0 200.455 * * [simplify]: Extracting #3: cost 66 inf + 0 200.455 * * [simplify]: Extracting #4: cost 117 inf + 44 200.457 * * [simplify]: Extracting #5: cost 147 inf + 1552 200.459 * * [simplify]: Extracting #6: cost 228 inf + 2932 200.461 * * [simplify]: Extracting #7: cost 232 inf + 3262 200.467 * * [simplify]: Extracting #8: cost 169 inf + 17436 200.480 * * [simplify]: Extracting #9: cost 87 inf + 41660 200.504 * * [simplify]: Extracting #10: cost 28 inf + 74527 200.534 * * [simplify]: Extracting #11: cost 2 inf + 95933 200.554 * * [simplify]: Extracting #12: cost 0 inf + 99463 200.589 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (+ phi2 phi1))))) 200.589 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 200.590 * * * * [progress]: [ 424 / 5906 ] simplifiying candidate # 200.591 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 200.591 * * [simplify]: iters left: 6 (52 enodes) 200.619 * * [simplify]: iters left: 5 (256 enodes) 200.690 * * [simplify]: Extracting #0: cost 1 inf + 0 200.690 * * [simplify]: Extracting #1: cost 3 inf + 0 200.690 * * [simplify]: Extracting #2: cost 10 inf + 0 200.690 * * [simplify]: Extracting #3: cost 74 inf + 0 200.691 * * [simplify]: Extracting #4: cost 137 inf + 1 200.692 * * [simplify]: Extracting #5: cost 188 inf + 165 200.693 * * [simplify]: Extracting #6: cost 268 inf + 1513 200.700 * * [simplify]: Extracting #7: cost 243 inf + 6740 200.709 * * [simplify]: Extracting #8: cost 146 inf + 35195 200.723 * * [simplify]: Extracting #9: cost 62 inf + 63639 200.743 * * [simplify]: Extracting #10: cost 9 inf + 108902 200.785 * * [simplify]: Extracting #11: cost 0 inf + 120704 200.833 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) 200.833 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 200.834 * * * * [progress]: [ 425 / 5906 ] simplifiying candidate # 200.835 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 200.835 * * [simplify]: iters left: 6 (47 enodes) 200.861 * * [simplify]: iters left: 5 (228 enodes) 200.941 * * [simplify]: Extracting #0: cost 1 inf + 0 200.941 * * [simplify]: Extracting #1: cost 3 inf + 0 200.941 * * [simplify]: Extracting #2: cost 10 inf + 0 200.941 * * [simplify]: Extracting #3: cost 65 inf + 0 200.941 * * [simplify]: Extracting #4: cost 117 inf + 44 200.942 * * [simplify]: Extracting #5: cost 152 inf + 862 200.943 * * [simplify]: Extracting #6: cost 230 inf + 2648 200.944 * * [simplify]: Extracting #7: cost 231 inf + 3302 200.946 * * [simplify]: Extracting #8: cost 198 inf + 7970 200.950 * * [simplify]: Extracting #9: cost 128 inf + 26746 200.960 * * [simplify]: Extracting #10: cost 47 inf + 59673 200.985 * * [simplify]: Extracting #11: cost 11 inf + 87948 201.005 * * [simplify]: Extracting #12: cost 1 inf + 98318 201.028 * * [simplify]: Extracting #13: cost 0 inf + 99983 201.050 * * [simplify]: Extracting #14: cost 0 inf + 99863 201.079 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (+ phi2 phi1))))) 201.079 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 201.080 * * * * [progress]: [ 426 / 5906 ] simplifiying candidate # 201.081 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 201.081 * * [simplify]: iters left: 6 (47 enodes) 201.099 * * [simplify]: iters left: 5 (226 enodes) 201.149 * * [simplify]: Extracting #0: cost 1 inf + 0 201.149 * * [simplify]: Extracting #1: cost 3 inf + 0 201.149 * * [simplify]: Extracting #2: cost 6 inf + 0 201.149 * * [simplify]: Extracting #3: cost 54 inf + 0 201.149 * * [simplify]: Extracting #4: cost 123 inf + 0 201.150 * * [simplify]: Extracting #5: cost 188 inf + 0 201.150 * * [simplify]: Extracting #6: cost 254 inf + 1138 201.151 * * [simplify]: Extracting #7: cost 227 inf + 7662 201.156 * * [simplify]: Extracting #8: cost 162 inf + 19597 201.164 * * [simplify]: Extracting #9: cost 127 inf + 26759 201.177 * * [simplify]: Extracting #10: cost 89 inf + 41892 201.199 * * [simplify]: Extracting #11: cost 52 inf + 59737 201.224 * * [simplify]: Extracting #12: cost 35 inf + 72360 201.260 * * [simplify]: Extracting #13: cost 4 inf + 101375 201.300 * * [simplify]: Extracting #14: cost 1 inf + 105730 201.335 * * [simplify]: Extracting #15: cost 0 inf + 107435 201.358 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) 201.358 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 201.359 * * * * [progress]: [ 427 / 5906 ] simplifiying candidate # 201.359 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 201.360 * * [simplify]: iters left: 6 (48 enodes) 201.379 * * [simplify]: iters left: 5 (235 enodes) 201.441 * * [simplify]: Extracting #0: cost 1 inf + 0 201.441 * * [simplify]: Extracting #1: cost 3 inf + 0 201.441 * * [simplify]: Extracting #2: cost 6 inf + 0 201.441 * * [simplify]: Extracting #3: cost 58 inf + 0 201.442 * * [simplify]: Extracting #4: cost 146 inf + 0 201.442 * * [simplify]: Extracting #5: cost 196 inf + 454 201.443 * * [simplify]: Extracting #6: cost 235 inf + 4481 201.448 * * [simplify]: Extracting #7: cost 214 inf + 10451 201.451 * * [simplify]: Extracting #8: cost 168 inf + 20156 201.456 * * [simplify]: Extracting #9: cost 108 inf + 37352 201.466 * * [simplify]: Extracting #10: cost 52 inf + 63798 201.492 * * [simplify]: Extracting #11: cost 10 inf + 101282 201.515 * * [simplify]: Extracting #12: cost 0 inf + 110612 201.549 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))))) 201.550 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 201.551 * * * * [progress]: [ 428 / 5906 ] simplifiying candidate # 201.551 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 201.552 * * [simplify]: iters left: 6 (48 enodes) 201.578 * * [simplify]: iters left: 5 (235 enodes) 201.646 * * [simplify]: Extracting #0: cost 1 inf + 0 201.646 * * [simplify]: Extracting #1: cost 3 inf + 0 201.646 * * [simplify]: Extracting #2: cost 6 inf + 0 201.647 * * [simplify]: Extracting #3: cost 60 inf + 0 201.647 * * [simplify]: Extracting #4: cost 144 inf + 0 201.648 * * [simplify]: Extracting #5: cost 193 inf + 332 201.650 * * [simplify]: Extracting #6: cost 234 inf + 4115 201.655 * * [simplify]: Extracting #7: cost 214 inf + 10175 201.662 * * [simplify]: Extracting #8: cost 151 inf + 26539 201.684 * * [simplify]: Extracting #9: cost 63 inf + 58492 201.702 * * [simplify]: Extracting #10: cost 15 inf + 97003 201.732 * * [simplify]: Extracting #11: cost 0 inf + 108284 201.754 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 201.754 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 201.755 * * * * [progress]: [ 429 / 5906 ] simplifiying candidate # 201.755 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 201.756 * * [simplify]: iters left: 6 (42 enodes) 201.767 * * [simplify]: iters left: 5 (199 enodes) 201.818 * * [simplify]: Extracting #0: cost 1 inf + 0 201.818 * * [simplify]: Extracting #1: cost 3 inf + 0 201.818 * * [simplify]: Extracting #2: cost 6 inf + 0 201.818 * * [simplify]: Extracting #3: cost 55 inf + 0 201.818 * * [simplify]: Extracting #4: cost 117 inf + 0 201.818 * * [simplify]: Extracting #5: cost 151 inf + 44 201.819 * * [simplify]: Extracting #6: cost 207 inf + 1072 201.820 * * [simplify]: Extracting #7: cost 202 inf + 2939 201.822 * * [simplify]: Extracting #8: cost 167 inf + 7805 201.827 * * [simplify]: Extracting #9: cost 109 inf + 27696 201.850 * * [simplify]: Extracting #10: cost 12 inf + 84509 201.886 * * [simplify]: Extracting #11: cost 0 inf + 91628 201.924 * * [simplify]: Extracting #12: cost 0 inf + 91348 201.957 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (cbrt (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))))))) 201.957 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (cbrt (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 201.957 * * * * [progress]: [ 430 / 5906 ] simplifiying candidate # 201.958 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 201.958 * * [simplify]: iters left: 6 (47 enodes) 201.970 * * [simplify]: iters left: 5 (227 enodes) 202.051 * * [simplify]: Extracting #0: cost 1 inf + 0 202.051 * * [simplify]: Extracting #1: cost 3 inf + 0 202.051 * * [simplify]: Extracting #2: cost 10 inf + 0 202.052 * * [simplify]: Extracting #3: cost 72 inf + 0 202.052 * * [simplify]: Extracting #4: cost 129 inf + 42 202.056 * * [simplify]: Extracting #5: cost 165 inf + 331 202.058 * * [simplify]: Extracting #6: cost 220 inf + 2687 202.061 * * [simplify]: Extracting #7: cost 210 inf + 5663 202.066 * * [simplify]: Extracting #8: cost 143 inf + 21236 202.079 * * [simplify]: Extracting #9: cost 70 inf + 48309 202.102 * * [simplify]: Extracting #10: cost 33 inf + 73564 202.136 * * [simplify]: Extracting #11: cost 5 inf + 100493 202.158 * * [simplify]: Extracting #12: cost 1 inf + 101453 202.185 * * [simplify]: Extracting #13: cost 0 inf + 102285 202.210 * * [simplify]: Extracting #14: cost 0 inf + 101994 202.236 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) 202.236 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 202.237 * * * * [progress]: [ 431 / 5906 ] simplifiying candidate # 202.238 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 202.238 * * [simplify]: iters left: 6 (42 enodes) 202.260 * * [simplify]: iters left: 5 (199 enodes) 202.323 * * [simplify]: Extracting #0: cost 1 inf + 0 202.323 * * [simplify]: Extracting #1: cost 3 inf + 0 202.323 * * [simplify]: Extracting #2: cost 10 inf + 0 202.323 * * [simplify]: Extracting #3: cost 67 inf + 0 202.326 * * [simplify]: Extracting #4: cost 121 inf + 86 202.327 * * [simplify]: Extracting #5: cost 139 inf + 1554 202.328 * * [simplify]: Extracting #6: cost 200 inf + 2932 202.329 * * [simplify]: Extracting #7: cost 206 inf + 3100 202.333 * * [simplify]: Extracting #8: cost 121 inf + 26159 202.358 * * [simplify]: Extracting #9: cost 29 inf + 75307 202.386 * * [simplify]: Extracting #10: cost 4 inf + 90063 202.405 * * [simplify]: Extracting #11: cost 0 inf + 91413 202.428 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))))))) 202.428 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 202.429 * * * * [progress]: [ 432 / 5906 ] simplifiying candidate # 202.430 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 202.430 * * [simplify]: iters left: 6 (47 enodes) 202.454 * * [simplify]: iters left: 5 (227 enodes) 202.527 * * [simplify]: Extracting #0: cost 1 inf + 0 202.527 * * [simplify]: Extracting #1: cost 3 inf + 0 202.527 * * [simplify]: Extracting #2: cost 10 inf + 0 202.527 * * [simplify]: Extracting #3: cost 72 inf + 0 202.528 * * [simplify]: Extracting #4: cost 129 inf + 42 202.528 * * [simplify]: Extracting #5: cost 164 inf + 494 202.529 * * [simplify]: Extracting #6: cost 213 inf + 4061 202.531 * * [simplify]: Extracting #7: cost 209 inf + 6006 202.536 * * [simplify]: Extracting #8: cost 140 inf + 22025 202.549 * * [simplify]: Extracting #9: cost 68 inf + 49525 202.567 * * [simplify]: Extracting #10: cost 33 inf + 74204 202.586 * * [simplify]: Extracting #11: cost 5 inf + 101453 202.620 * * [simplify]: Extracting #12: cost 1 inf + 102413 202.646 * * [simplify]: Extracting #13: cost 0 inf + 103245 202.673 * * [simplify]: Extracting #14: cost 0 inf + 102954 202.701 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) 202.701 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 202.702 * * * * [progress]: [ 433 / 5906 ] simplifiying candidate # 202.702 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 202.702 * * [simplify]: iters left: 6 (42 enodes) 202.716 * * [simplify]: iters left: 5 (199 enodes) 202.759 * * [simplify]: Extracting #0: cost 1 inf + 0 202.759 * * [simplify]: Extracting #1: cost 3 inf + 0 202.759 * * [simplify]: Extracting #2: cost 10 inf + 0 202.759 * * [simplify]: Extracting #3: cost 66 inf + 0 202.760 * * [simplify]: Extracting #4: cost 122 inf + 44 202.760 * * [simplify]: Extracting #5: cost 145 inf + 782 202.761 * * [simplify]: Extracting #6: cost 201 inf + 2770 202.762 * * [simplify]: Extracting #7: cost 205 inf + 3141 202.766 * * [simplify]: Extracting #8: cost 121 inf + 26263 202.781 * * [simplify]: Extracting #9: cost 33 inf + 74232 202.803 * * [simplify]: Extracting #10: cost 5 inf + 89979 202.822 * * [simplify]: Extracting #11: cost 0 inf + 91813 202.842 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))))))) 202.842 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 202.842 * * * * [progress]: [ 434 / 5906 ] simplifiying candidate # 202.843 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 202.843 * * [simplify]: iters left: 6 (51 enodes) 202.856 * * [simplify]: iters left: 5 (245 enodes) 202.925 * * [simplify]: Extracting #0: cost 1 inf + 0 202.925 * * [simplify]: Extracting #1: cost 3 inf + 0 202.925 * * [simplify]: Extracting #2: cost 6 inf + 0 202.925 * * [simplify]: Extracting #3: cost 56 inf + 0 202.925 * * [simplify]: Extracting #4: cost 130 inf + 0 202.925 * * [simplify]: Extracting #5: cost 205 inf + 0 202.926 * * [simplify]: Extracting #6: cost 277 inf + 1094 202.928 * * [simplify]: Extracting #7: cost 204 inf + 15330 202.938 * * [simplify]: Extracting #8: cost 135 inf + 37476 202.953 * * [simplify]: Extracting #9: cost 86 inf + 54814 202.971 * * [simplify]: Extracting #10: cost 57 inf + 64808 202.993 * * [simplify]: Extracting #11: cost 36 inf + 79253 203.030 * * [simplify]: Extracting #12: cost 7 inf + 112538 203.054 * * [simplify]: Extracting #13: cost 1 inf + 121288 203.084 * * [simplify]: Extracting #14: cost 0 inf + 123273 203.108 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 203.108 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 203.109 * * * * [progress]: [ 435 / 5906 ] simplifiying candidate # 203.109 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 203.110 * * [simplify]: iters left: 6 (52 enodes) 203.128 * * [simplify]: iters left: 5 (254 enodes) 203.235 * * [simplify]: Extracting #0: cost 1 inf + 0 203.235 * * [simplify]: Extracting #1: cost 3 inf + 0 203.235 * * [simplify]: Extracting #2: cost 6 inf + 0 203.235 * * [simplify]: Extracting #3: cost 60 inf + 0 203.236 * * [simplify]: Extracting #4: cost 153 inf + 0 203.237 * * [simplify]: Extracting #5: cost 219 inf + 44 203.240 * * [simplify]: Extracting #6: cost 264 inf + 3555 203.246 * * [simplify]: Extracting #7: cost 196 inf + 15960 203.255 * * [simplify]: Extracting #8: cost 141 inf + 33991 203.264 * * [simplify]: Extracting #9: cost 94 inf + 55611 203.279 * * [simplify]: Extracting #10: cost 52 inf + 72390 203.312 * * [simplify]: Extracting #11: cost 12 inf + 109910 203.348 * * [simplify]: Extracting #12: cost 1 inf + 123905 203.382 * * [simplify]: Extracting #13: cost 0 inf + 125970 203.418 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ lambda2 lambda1))))) 203.418 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ lambda2 lambda1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 203.418 * * * * [progress]: [ 436 / 5906 ] simplifiying candidate # 203.419 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 203.419 * * [simplify]: iters left: 6 (52 enodes) 203.434 * * [simplify]: iters left: 5 (254 enodes) 203.520 * * [simplify]: Extracting #0: cost 1 inf + 0 203.520 * * [simplify]: Extracting #1: cost 3 inf + 0 203.521 * * [simplify]: Extracting #2: cost 6 inf + 0 203.521 * * [simplify]: Extracting #3: cost 62 inf + 0 203.521 * * [simplify]: Extracting #4: cost 151 inf + 0 203.522 * * [simplify]: Extracting #5: cost 215 inf + 44 203.523 * * [simplify]: Extracting #6: cost 259 inf + 3517 203.528 * * [simplify]: Extracting #7: cost 196 inf + 15491 203.538 * * [simplify]: Extracting #8: cost 149 inf + 30003 203.555 * * [simplify]: Extracting #9: cost 101 inf + 51438 203.573 * * [simplify]: Extracting #10: cost 53 inf + 69877 203.587 * * [simplify]: Extracting #11: cost 36 inf + 81102 203.608 * * [simplify]: Extracting #12: cost 9 inf + 110457 203.632 * * [simplify]: Extracting #13: cost 1 inf + 121417 203.657 * * [simplify]: Extracting #14: cost 0 inf + 123482 203.682 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 203.682 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 203.683 * * * * [progress]: [ 437 / 5906 ] simplifiying candidate # 203.683 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 203.683 * * [simplify]: iters left: 6 (46 enodes) 203.695 * * [simplify]: iters left: 5 (218 enodes) 203.747 * * [simplify]: Extracting #0: cost 1 inf + 0 203.747 * * [simplify]: Extracting #1: cost 3 inf + 0 203.747 * * [simplify]: Extracting #2: cost 6 inf + 0 203.748 * * [simplify]: Extracting #3: cost 54 inf + 0 203.748 * * [simplify]: Extracting #4: cost 119 inf + 0 203.749 * * [simplify]: Extracting #5: cost 163 inf + 44 203.750 * * [simplify]: Extracting #6: cost 220 inf + 1604 203.754 * * [simplify]: Extracting #7: cost 184 inf + 8053 203.761 * * [simplify]: Extracting #8: cost 125 inf + 23974 203.778 * * [simplify]: Extracting #9: cost 61 inf + 49548 203.807 * * [simplify]: Extracting #10: cost 16 inf + 84807 203.836 * * [simplify]: Extracting #11: cost 0 inf + 99581 203.859 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 203.859 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 203.860 * * * * [progress]: [ 438 / 5906 ] simplifiying candidate # 203.860 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 203.860 * * [simplify]: iters left: 6 (51 enodes) 203.874 * * [simplify]: iters left: 5 (246 enodes) 203.942 * * [simplify]: Extracting #0: cost 1 inf + 0 203.942 * * [simplify]: Extracting #1: cost 3 inf + 0 203.942 * * [simplify]: Extracting #2: cost 10 inf + 0 203.942 * * [simplify]: Extracting #3: cost 74 inf + 0 203.942 * * [simplify]: Extracting #4: cost 137 inf + 1 203.943 * * [simplify]: Extracting #5: cost 184 inf + 249 203.945 * * [simplify]: Extracting #6: cost 241 inf + 2335 203.954 * * [simplify]: Extracting #7: cost 174 inf + 19628 203.965 * * [simplify]: Extracting #8: cost 125 inf + 37928 203.973 * * [simplify]: Extracting #9: cost 94 inf + 48772 203.984 * * [simplify]: Extracting #10: cost 54 inf + 64324 204.015 * * [simplify]: Extracting #11: cost 10 inf + 101262 204.060 * * [simplify]: Extracting #12: cost 1 inf + 113287 204.106 * * [simplify]: Extracting #13: cost 0 inf + 115272 204.136 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) 204.136 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 204.137 * * * * [progress]: [ 439 / 5906 ] simplifiying candidate # 204.137 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 204.137 * * [simplify]: iters left: 6 (46 enodes) 204.152 * * [simplify]: iters left: 5 (218 enodes) 204.211 * * [simplify]: Extracting #0: cost 1 inf + 0 204.211 * * [simplify]: Extracting #1: cost 3 inf + 0 204.211 * * [simplify]: Extracting #2: cost 10 inf + 0 204.211 * * [simplify]: Extracting #3: cost 66 inf + 0 204.212 * * [simplify]: Extracting #4: cost 117 inf + 44 204.212 * * [simplify]: Extracting #5: cost 148 inf + 1026 204.215 * * [simplify]: Extracting #6: cost 210 inf + 3138 204.222 * * [simplify]: Extracting #7: cost 186 inf + 7884 204.227 * * [simplify]: Extracting #8: cost 147 inf + 16371 204.239 * * [simplify]: Extracting #9: cost 101 inf + 35434 204.258 * * [simplify]: Extracting #10: cost 38 inf + 60841 204.288 * * [simplify]: Extracting #11: cost 6 inf + 89241 204.326 * * [simplify]: Extracting #12: cost 0 inf + 96591 204.346 * * [simplify]: Extracting #13: cost 0 inf + 96551 204.373 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))))) 204.374 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 204.374 * * * * [progress]: [ 440 / 5906 ] simplifiying candidate # 204.375 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 204.375 * * [simplify]: iters left: 6 (51 enodes) 204.389 * * [simplify]: iters left: 5 (246 enodes) 204.473 * * [simplify]: Extracting #0: cost 1 inf + 0 204.473 * * [simplify]: Extracting #1: cost 3 inf + 0 204.473 * * [simplify]: Extracting #2: cost 10 inf + 0 204.473 * * [simplify]: Extracting #3: cost 74 inf + 0 204.474 * * [simplify]: Extracting #4: cost 137 inf + 1 204.474 * * [simplify]: Extracting #5: cost 185 inf + 207 204.475 * * [simplify]: Extracting #6: cost 244 inf + 2252 204.478 * * [simplify]: Extracting #7: cost 168 inf + 21039 204.487 * * [simplify]: Extracting #8: cost 123 inf + 39684 204.495 * * [simplify]: Extracting #9: cost 95 inf + 49589 204.515 * * [simplify]: Extracting #10: cost 54 inf + 65284 204.550 * * [simplify]: Extracting #11: cost 10 inf + 102222 204.596 * * [simplify]: Extracting #12: cost 1 inf + 114247 204.635 * * [simplify]: Extracting #13: cost 0 inf + 116232 204.665 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 204.665 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 204.666 * * * * [progress]: [ 441 / 5906 ] simplifiying candidate # 204.666 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 204.667 * * [simplify]: iters left: 6 (46 enodes) 204.690 * * [simplify]: iters left: 5 (218 enodes) 204.765 * * [simplify]: Extracting #0: cost 1 inf + 0 204.765 * * [simplify]: Extracting #1: cost 3 inf + 0 204.765 * * [simplify]: Extracting #2: cost 10 inf + 0 204.765 * * [simplify]: Extracting #3: cost 65 inf + 0 204.765 * * [simplify]: Extracting #4: cost 117 inf + 44 204.765 * * [simplify]: Extracting #5: cost 148 inf + 1066 204.766 * * [simplify]: Extracting #6: cost 211 inf + 3016 204.768 * * [simplify]: Extracting #7: cost 191 inf + 6755 204.774 * * [simplify]: Extracting #8: cost 135 inf + 22969 204.783 * * [simplify]: Extracting #9: cost 89 inf + 42376 204.793 * * [simplify]: Extracting #10: cost 42 inf + 58501 204.806 * * [simplify]: Extracting #11: cost 16 inf + 80391 204.836 * * [simplify]: Extracting #12: cost 0 inf + 96271 204.872 * * [simplify]: Extracting #13: cost 0 inf + 95991 204.897 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))))) 204.897 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 204.898 * * * * [progress]: [ 442 / 5906 ] simplifiying candidate # 204.898 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 204.898 * * [simplify]: iters left: 6 (45 enodes) 204.911 * * [simplify]: iters left: 5 (218 enodes) 204.974 * * [simplify]: Extracting #0: cost 1 inf + 0 204.975 * * [simplify]: Extracting #1: cost 3 inf + 0 204.975 * * [simplify]: Extracting #2: cost 6 inf + 0 204.975 * * [simplify]: Extracting #3: cost 54 inf + 0 204.975 * * [simplify]: Extracting #4: cost 120 inf + 0 204.975 * * [simplify]: Extracting #5: cost 186 inf + 0 204.976 * * [simplify]: Extracting #6: cost 248 inf + 715 204.978 * * [simplify]: Extracting #7: cost 216 inf + 9020 204.980 * * [simplify]: Extracting #8: cost 159 inf + 17854 204.986 * * [simplify]: Extracting #9: cost 117 inf + 28530 204.996 * * [simplify]: Extracting #10: cost 67 inf + 49688 205.014 * * [simplify]: Extracting #11: cost 11 inf + 93633 205.053 * * [simplify]: Extracting #12: cost 0 inf + 104163 205.076 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) 205.076 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 205.076 * * * * [progress]: [ 443 / 5906 ] simplifiying candidate # 205.077 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 205.077 * * [simplify]: iters left: 6 (46 enodes) 205.089 * * [simplify]: iters left: 5 (227 enodes) 205.153 * * [simplify]: Extracting #0: cost 1 inf + 0 205.153 * * [simplify]: Extracting #1: cost 3 inf + 0 205.153 * * [simplify]: Extracting #2: cost 6 inf + 0 205.153 * * [simplify]: Extracting #3: cost 58 inf + 0 205.153 * * [simplify]: Extracting #4: cost 143 inf + 0 205.154 * * [simplify]: Extracting #5: cost 199 inf + 126 205.155 * * [simplify]: Extracting #6: cost 245 inf + 4659 205.157 * * [simplify]: Extracting #7: cost 207 inf + 13494 205.164 * * [simplify]: Extracting #8: cost 140 inf + 25356 205.178 * * [simplify]: Extracting #9: cost 76 inf + 45968 205.193 * * [simplify]: Extracting #10: cost 40 inf + 69676 205.214 * * [simplify]: Extracting #11: cost 2 inf + 103810 205.242 * * [simplify]: Extracting #12: cost 0 inf + 107340 205.285 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) 205.285 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 205.286 * * * * [progress]: [ 444 / 5906 ] simplifiying candidate # 205.286 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 205.287 * * [simplify]: iters left: 6 (46 enodes) 205.311 * * [simplify]: iters left: 5 (227 enodes) 205.374 * * [simplify]: Extracting #0: cost 1 inf + 0 205.374 * * [simplify]: Extracting #1: cost 3 inf + 0 205.374 * * [simplify]: Extracting #2: cost 6 inf + 0 205.374 * * [simplify]: Extracting #3: cost 60 inf + 0 205.375 * * [simplify]: Extracting #4: cost 141 inf + 0 205.376 * * [simplify]: Extracting #5: cost 194 inf + 168 205.378 * * [simplify]: Extracting #6: cost 231 inf + 5468 205.381 * * [simplify]: Extracting #7: cost 202 inf + 14538 205.385 * * [simplify]: Extracting #8: cost 144 inf + 24178 205.393 * * [simplify]: Extracting #9: cost 63 inf + 52840 205.405 * * [simplify]: Extracting #10: cost 30 inf + 74462 205.433 * * [simplify]: Extracting #11: cost 2 inf + 102362 205.466 * * [simplify]: Extracting #12: cost 0 inf + 104932 205.486 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 205.487 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 205.487 * * * * [progress]: [ 445 / 5906 ] simplifiying candidate # 205.487 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 205.488 * * [simplify]: iters left: 6 (40 enodes) 205.498 * * [simplify]: iters left: 5 (191 enodes) 205.548 * * [simplify]: Extracting #0: cost 1 inf + 0 205.548 * * [simplify]: Extracting #1: cost 3 inf + 0 205.548 * * [simplify]: Extracting #2: cost 6 inf + 0 205.548 * * [simplify]: Extracting #3: cost 52 inf + 0 205.548 * * [simplify]: Extracting #4: cost 109 inf + 0 205.549 * * [simplify]: Extracting #5: cost 144 inf + 44 205.551 * * [simplify]: Extracting #6: cost 191 inf + 1599 205.556 * * [simplify]: Extracting #7: cost 186 inf + 3307 205.561 * * [simplify]: Extracting #8: cost 137 inf + 12807 205.572 * * [simplify]: Extracting #9: cost 73 inf + 38365 205.596 * * [simplify]: Extracting #10: cost 25 inf + 65316 205.626 * * [simplify]: Extracting #11: cost 3 inf + 80596 205.659 * * [simplify]: Extracting #12: cost 0 inf + 83191 205.690 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (cbrt (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))))) (* (* (cbrt (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1)))))) 205.690 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (cbrt (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))))) (* (* (cbrt (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 205.691 * * * * [progress]: [ 446 / 5906 ] simplifiying candidate # 205.691 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 205.691 * * [simplify]: iters left: 6 (45 enodes) 205.703 * * [simplify]: iters left: 5 (219 enodes) 205.757 * * [simplify]: Extracting #0: cost 1 inf + 0 205.757 * * [simplify]: Extracting #1: cost 3 inf + 0 205.757 * * [simplify]: Extracting #2: cost 10 inf + 0 205.757 * * [simplify]: Extracting #3: cost 72 inf + 0 205.758 * * [simplify]: Extracting #4: cost 127 inf + 1 205.758 * * [simplify]: Extracting #5: cost 166 inf + 207 205.759 * * [simplify]: Extracting #6: cost 222 inf + 1613 205.760 * * [simplify]: Extracting #7: cost 204 inf + 6588 205.763 * * [simplify]: Extracting #8: cost 150 inf + 17454 205.768 * * [simplify]: Extracting #9: cost 86 inf + 36641 205.779 * * [simplify]: Extracting #10: cost 29 inf + 72106 205.800 * * [simplify]: Extracting #11: cost 1 inf + 97777 205.833 * * [simplify]: Extracting #12: cost 0 inf + 98722 205.853 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) 205.853 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 205.853 * * * * [progress]: [ 447 / 5906 ] simplifiying candidate # 205.854 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 205.854 * * [simplify]: iters left: 6 (40 enodes) 205.871 * * [simplify]: iters left: 5 (191 enodes) 205.922 * * [simplify]: Extracting #0: cost 1 inf + 0 205.922 * * [simplify]: Extracting #1: cost 3 inf + 0 205.923 * * [simplify]: Extracting #2: cost 10 inf + 0 205.923 * * [simplify]: Extracting #3: cost 64 inf + 0 205.923 * * [simplify]: Extracting #4: cost 106 inf + 86 205.924 * * [simplify]: Extracting #5: cost 128 inf + 1229 205.926 * * [simplify]: Extracting #6: cost 181 inf + 2932 205.928 * * [simplify]: Extracting #7: cost 184 inf + 3265 205.934 * * [simplify]: Extracting #8: cost 111 inf + 19436 205.949 * * [simplify]: Extracting #9: cost 48 inf + 47486 205.976 * * [simplify]: Extracting #10: cost 11 inf + 74367 205.997 * * [simplify]: Extracting #11: cost 0 inf + 80521 206.022 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1))))) 206.022 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 206.023 * * * * [progress]: [ 448 / 5906 ] simplifiying candidate # 206.024 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 206.024 * * [simplify]: iters left: 6 (45 enodes) 206.046 * * [simplify]: iters left: 5 (219 enodes) 206.100 * * [simplify]: Extracting #0: cost 1 inf + 0 206.100 * * [simplify]: Extracting #1: cost 3 inf + 0 206.100 * * [simplify]: Extracting #2: cost 10 inf + 0 206.100 * * [simplify]: Extracting #3: cost 72 inf + 0 206.100 * * [simplify]: Extracting #4: cost 127 inf + 1 206.101 * * [simplify]: Extracting #5: cost 166 inf + 207 206.101 * * [simplify]: Extracting #6: cost 219 inf + 2311 206.103 * * [simplify]: Extracting #7: cost 201 inf + 7426 206.106 * * [simplify]: Extracting #8: cost 153 inf + 16628 206.111 * * [simplify]: Extracting #9: cost 86 inf + 36342 206.121 * * [simplify]: Extracting #10: cost 36 inf + 65552 206.155 * * [simplify]: Extracting #11: cost 2 inf + 97872 206.196 * * [simplify]: Extracting #12: cost 0 inf + 99682 206.234 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) 206.234 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 206.235 * * * * [progress]: [ 449 / 5906 ] simplifiying candidate # 206.235 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 206.236 * * [simplify]: iters left: 6 (40 enodes) 206.257 * * [simplify]: iters left: 5 (191 enodes) 206.330 * * [simplify]: Extracting #0: cost 1 inf + 0 206.330 * * [simplify]: Extracting #1: cost 3 inf + 0 206.330 * * [simplify]: Extracting #2: cost 10 inf + 0 206.330 * * [simplify]: Extracting #3: cost 63 inf + 0 206.330 * * [simplify]: Extracting #4: cost 106 inf + 86 206.331 * * [simplify]: Extracting #5: cost 126 inf + 1553 206.332 * * [simplify]: Extracting #6: cost 181 inf + 2932 206.333 * * [simplify]: Extracting #7: cost 183 inf + 3386 206.336 * * [simplify]: Extracting #8: cost 112 inf + 19534 206.344 * * [simplify]: Extracting #9: cost 45 inf + 49166 206.365 * * [simplify]: Extracting #10: cost 9 inf + 75324 206.396 * * [simplify]: Extracting #11: cost 0 inf + 80921 206.428 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 206.428 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 206.429 * * * * [progress]: [ 450 / 5906 ] simplifiying candidate # 206.429 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 206.430 * * [simplify]: iters left: 6 (51 enodes) 206.455 * * [simplify]: iters left: 5 (244 enodes) 206.521 * * [simplify]: Extracting #0: cost 1 inf + 0 206.521 * * [simplify]: Extracting #1: cost 3 inf + 0 206.521 * * [simplify]: Extracting #2: cost 6 inf + 0 206.521 * * [simplify]: Extracting #3: cost 56 inf + 0 206.522 * * [simplify]: Extracting #4: cost 130 inf + 0 206.522 * * [simplify]: Extracting #5: cost 207 inf + 0 206.523 * * [simplify]: Extracting #6: cost 276 inf + 1476 206.525 * * [simplify]: Extracting #7: cost 200 inf + 14914 206.531 * * [simplify]: Extracting #8: cost 132 inf + 39170 206.540 * * [simplify]: Extracting #9: cost 91 inf + 53009 206.561 * * [simplify]: Extracting #10: cost 56 inf + 65513 206.575 * * [simplify]: Extracting #11: cost 34 inf + 81023 206.603 * * [simplify]: Extracting #12: cost 5 inf + 115028 206.650 * * [simplify]: Extracting #13: cost 0 inf + 123433 206.675 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 206.676 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 206.676 * * * * [progress]: [ 451 / 5906 ] simplifiying candidate # 206.677 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 206.677 * * [simplify]: iters left: 6 (52 enodes) 206.706 * * [simplify]: iters left: 5 (253 enodes) 206.810 * * [simplify]: Extracting #0: cost 1 inf + 0 206.811 * * [simplify]: Extracting #1: cost 3 inf + 0 206.811 * * [simplify]: Extracting #2: cost 6 inf + 0 206.811 * * [simplify]: Extracting #3: cost 60 inf + 0 206.811 * * [simplify]: Extracting #4: cost 153 inf + 0 206.812 * * [simplify]: Extracting #5: cost 221 inf + 44 206.815 * * [simplify]: Extracting #6: cost 250 inf + 6142 206.822 * * [simplify]: Extracting #7: cost 193 inf + 16665 206.834 * * [simplify]: Extracting #8: cost 128 inf + 37071 206.858 * * [simplify]: Extracting #9: cost 55 inf + 69523 206.885 * * [simplify]: Extracting #10: cost 35 inf + 83615 206.923 * * [simplify]: Extracting #11: cost 2 inf + 122000 206.950 * * [simplify]: Extracting #12: cost 1 inf + 124065 206.990 * * [simplify]: Extracting #13: cost 0 inf + 126130 207.022 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))) 207.022 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 207.023 * * * * [progress]: [ 452 / 5906 ] simplifiying candidate # 207.024 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 207.025 * * [simplify]: iters left: 6 (52 enodes) 207.051 * * [simplify]: iters left: 5 (253 enodes) 207.130 * * [simplify]: Extracting #0: cost 1 inf + 0 207.130 * * [simplify]: Extracting #1: cost 3 inf + 0 207.130 * * [simplify]: Extracting #2: cost 6 inf + 0 207.130 * * [simplify]: Extracting #3: cost 62 inf + 0 207.131 * * [simplify]: Extracting #4: cost 151 inf + 0 207.132 * * [simplify]: Extracting #5: cost 216 inf + 86 207.135 * * [simplify]: Extracting #6: cost 249 inf + 5657 207.141 * * [simplify]: Extracting #7: cost 199 inf + 14365 207.152 * * [simplify]: Extracting #8: cost 140 inf + 30709 207.173 * * [simplify]: Extracting #9: cost 66 inf + 63043 207.200 * * [simplify]: Extracting #10: cost 34 inf + 83072 207.230 * * [simplify]: Extracting #11: cost 2 inf + 119512 207.261 * * [simplify]: Extracting #12: cost 1 inf + 121577 207.286 * * [simplify]: Extracting #13: cost 0 inf + 123642 207.320 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 207.321 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 207.321 * * * * [progress]: [ 453 / 5906 ] simplifiying candidate # 207.321 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 207.322 * * [simplify]: iters left: 6 (46 enodes) 207.333 * * [simplify]: iters left: 5 (217 enodes) 207.380 * * [simplify]: Extracting #0: cost 1 inf + 0 207.380 * * [simplify]: Extracting #1: cost 3 inf + 0 207.380 * * [simplify]: Extracting #2: cost 6 inf + 0 207.380 * * [simplify]: Extracting #3: cost 54 inf + 0 207.380 * * [simplify]: Extracting #4: cost 119 inf + 0 207.380 * * [simplify]: Extracting #5: cost 165 inf + 44 207.381 * * [simplify]: Extracting #6: cost 225 inf + 1114 207.383 * * [simplify]: Extracting #7: cost 193 inf + 6231 207.386 * * [simplify]: Extracting #8: cost 144 inf + 19862 207.393 * * [simplify]: Extracting #9: cost 91 inf + 42234 207.403 * * [simplify]: Extracting #10: cost 49 inf + 56599 207.426 * * [simplify]: Extracting #11: cost 28 inf + 69801 207.461 * * [simplify]: Extracting #12: cost 2 inf + 98171 207.485 * * [simplify]: Extracting #13: cost 0 inf + 101781 207.506 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))))))) 207.506 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 207.507 * * * * [progress]: [ 454 / 5906 ] simplifiying candidate # 207.507 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 207.508 * * [simplify]: iters left: 6 (51 enodes) 207.521 * * [simplify]: iters left: 5 (245 enodes) 207.582 * * [simplify]: Extracting #0: cost 1 inf + 0 207.583 * * [simplify]: Extracting #1: cost 3 inf + 0 207.583 * * [simplify]: Extracting #2: cost 10 inf + 0 207.583 * * [simplify]: Extracting #3: cost 74 inf + 0 207.583 * * [simplify]: Extracting #4: cost 137 inf + 1 207.584 * * [simplify]: Extracting #5: cost 186 inf + 249 207.586 * * [simplify]: Extracting #6: cost 241 inf + 2417 207.592 * * [simplify]: Extracting #7: cost 169 inf + 21718 207.604 * * [simplify]: Extracting #8: cost 124 inf + 39442 207.619 * * [simplify]: Extracting #9: cost 92 inf + 50065 207.640 * * [simplify]: Extracting #10: cost 50 inf + 66742 207.668 * * [simplify]: Extracting #11: cost 10 inf + 102102 207.720 * * [simplify]: Extracting #12: cost 0 inf + 116672 207.749 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) 207.749 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 207.750 * * * * [progress]: [ 455 / 5906 ] simplifiying candidate # 207.750 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 207.750 * * [simplify]: iters left: 6 (46 enodes) 207.763 * * [simplify]: iters left: 5 (217 enodes) 207.820 * * [simplify]: Extracting #0: cost 1 inf + 0 207.820 * * [simplify]: Extracting #1: cost 3 inf + 0 207.820 * * [simplify]: Extracting #2: cost 10 inf + 0 207.820 * * [simplify]: Extracting #3: cost 66 inf + 0 207.821 * * [simplify]: Extracting #4: cost 117 inf + 44 207.822 * * [simplify]: Extracting #5: cost 151 inf + 1024 207.823 * * [simplify]: Extracting #6: cost 210 inf + 3138 207.827 * * [simplify]: Extracting #7: cost 186 inf + 7806 207.832 * * [simplify]: Extracting #8: cost 147 inf + 16329 207.843 * * [simplify]: Extracting #9: cost 97 inf + 35639 207.861 * * [simplify]: Extracting #10: cost 42 inf + 58634 207.878 * * [simplify]: Extracting #11: cost 17 inf + 81206 207.899 * * [simplify]: Extracting #12: cost 0 inf + 98031 207.938 * * [simplify]: Extracting #13: cost 0 inf + 97551 207.979 * * [simplify]: Extracting #14: cost 0 inf + 97511 208.007 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))))) 208.007 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 208.008 * * * * [progress]: [ 456 / 5906 ] simplifiying candidate # 208.008 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 208.009 * * [simplify]: iters left: 6 (51 enodes) 208.022 * * [simplify]: iters left: 5 (245 enodes) 208.105 * * [simplify]: Extracting #0: cost 1 inf + 0 208.105 * * [simplify]: Extracting #1: cost 3 inf + 0 208.106 * * [simplify]: Extracting #2: cost 10 inf + 0 208.106 * * [simplify]: Extracting #3: cost 74 inf + 0 208.106 * * [simplify]: Extracting #4: cost 137 inf + 1 208.106 * * [simplify]: Extracting #5: cost 187 inf + 207 208.107 * * [simplify]: Extracting #6: cost 240 inf + 2739 208.111 * * [simplify]: Extracting #7: cost 163 inf + 23374 208.118 * * [simplify]: Extracting #8: cost 124 inf + 40242 208.126 * * [simplify]: Extracting #9: cost 93 inf + 50159 208.137 * * [simplify]: Extracting #10: cost 55 inf + 64177 208.161 * * [simplify]: Extracting #11: cost 25 inf + 86447 208.200 * * [simplify]: Extracting #12: cost 0 inf + 115312 208.241 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 208.241 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 208.242 * * * * [progress]: [ 457 / 5906 ] simplifiying candidate # 208.242 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 208.242 * * [simplify]: iters left: 6 (46 enodes) 208.254 * * [simplify]: iters left: 5 (217 enodes) 208.310 * * [simplify]: Extracting #0: cost 1 inf + 0 208.310 * * [simplify]: Extracting #1: cost 3 inf + 0 208.310 * * [simplify]: Extracting #2: cost 10 inf + 0 208.311 * * [simplify]: Extracting #3: cost 65 inf + 0 208.311 * * [simplify]: Extracting #4: cost 117 inf + 44 208.311 * * [simplify]: Extracting #5: cost 153 inf + 660 208.313 * * [simplify]: Extracting #6: cost 211 inf + 2976 208.314 * * [simplify]: Extracting #7: cost 187 inf + 7724 208.320 * * [simplify]: Extracting #8: cost 147 inf + 16611 208.326 * * [simplify]: Extracting #9: cost 99 inf + 35317 208.336 * * [simplify]: Extracting #10: cost 43 inf + 59022 208.352 * * [simplify]: Extracting #11: cost 21 inf + 74186 208.378 * * [simplify]: Extracting #12: cost 2 inf + 94581 208.398 * * [simplify]: Extracting #13: cost 0 inf + 97951 208.431 * * [simplify]: Extracting #14: cost 0 inf + 97911 208.466 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))))) 208.466 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 208.467 * * * * [progress]: [ 458 / 5906 ] simplifiying candidate # 208.467 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 208.468 * * [simplify]: iters left: 6 (48 enodes) 208.490 * * [simplify]: iters left: 5 (228 enodes) 208.579 * * [simplify]: Extracting #0: cost 1 inf + 0 208.579 * * [simplify]: Extracting #1: cost 3 inf + 0 208.579 * * [simplify]: Extracting #2: cost 6 inf + 0 208.580 * * [simplify]: Extracting #3: cost 48 inf + 0 208.580 * * [simplify]: Extracting #4: cost 112 inf + 0 208.580 * * [simplify]: Extracting #5: cost 179 inf + 0 208.581 * * [simplify]: Extracting #6: cost 252 inf + 384 208.585 * * [simplify]: Extracting #7: cost 213 inf + 7964 208.589 * * [simplify]: Extracting #8: cost 114 inf + 31735 208.598 * * [simplify]: Extracting #9: cost 54 inf + 53050 208.611 * * [simplify]: Extracting #10: cost 28 inf + 72884 208.639 * * [simplify]: Extracting #11: cost 1 inf + 102759 208.663 * * [simplify]: Extracting #12: cost 0 inf + 104544 208.688 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 208.688 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 208.689 * * * * [progress]: [ 459 / 5906 ] simplifiying candidate # 208.690 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 208.690 * * [simplify]: iters left: 6 (49 enodes) 208.718 * * [simplify]: iters left: 5 (237 enodes) 208.783 * * [simplify]: Extracting #0: cost 1 inf + 0 208.783 * * [simplify]: Extracting #1: cost 3 inf + 0 208.783 * * [simplify]: Extracting #2: cost 6 inf + 0 208.783 * * [simplify]: Extracting #3: cost 52 inf + 0 208.784 * * [simplify]: Extracting #4: cost 135 inf + 0 208.785 * * [simplify]: Extracting #5: cost 192 inf + 85 208.787 * * [simplify]: Extracting #6: cost 220 inf + 6020 208.793 * * [simplify]: Extracting #7: cost 191 inf + 13845 208.798 * * [simplify]: Extracting #8: cost 124 inf + 33189 208.808 * * [simplify]: Extracting #9: cost 75 inf + 51238 208.820 * * [simplify]: Extracting #10: cost 39 inf + 67266 208.846 * * [simplify]: Extracting #11: cost 4 inf + 101301 208.871 * * [simplify]: Extracting #12: cost 0 inf + 107201 208.898 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1)))))) 208.898 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 208.898 * * * * [progress]: [ 460 / 5906 ] simplifiying candidate # 208.899 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 208.899 * * [simplify]: iters left: 6 (49 enodes) 208.912 * * [simplify]: iters left: 5 (237 enodes) 208.976 * * [simplify]: Extracting #0: cost 1 inf + 0 208.976 * * [simplify]: Extracting #1: cost 3 inf + 0 208.976 * * [simplify]: Extracting #2: cost 6 inf + 0 208.976 * * [simplify]: Extracting #3: cost 54 inf + 0 208.976 * * [simplify]: Extracting #4: cost 133 inf + 0 208.977 * * [simplify]: Extracting #5: cost 187 inf + 166 208.978 * * [simplify]: Extracting #6: cost 217 inf + 6097 208.981 * * [simplify]: Extracting #7: cost 194 inf + 13063 208.985 * * [simplify]: Extracting #8: cost 138 inf + 26425 208.992 * * [simplify]: Extracting #9: cost 86 inf + 44270 209.012 * * [simplify]: Extracting #10: cost 38 inf + 66603 209.045 * * [simplify]: Extracting #11: cost 7 inf + 96098 209.086 * * [simplify]: Extracting #12: cost 0 inf + 104913 209.112 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 209.112 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 209.113 * * * * [progress]: [ 461 / 5906 ] simplifiying candidate # 209.113 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 209.113 * * [simplify]: iters left: 6 (43 enodes) 209.124 * * [simplify]: iters left: 5 (200 enodes) 209.178 * * [simplify]: Extracting #0: cost 1 inf + 0 209.178 * * [simplify]: Extracting #1: cost 3 inf + 0 209.178 * * [simplify]: Extracting #2: cost 6 inf + 0 209.178 * * [simplify]: Extracting #3: cost 46 inf + 0 209.178 * * [simplify]: Extracting #4: cost 101 inf + 0 209.179 * * [simplify]: Extracting #5: cost 137 inf + 44 209.180 * * [simplify]: Extracting #6: cost 192 inf + 1520 209.183 * * [simplify]: Extracting #7: cost 185 inf + 3962 209.190 * * [simplify]: Extracting #8: cost 110 inf + 23747 209.208 * * [simplify]: Extracting #9: cost 42 inf + 54301 209.226 * * [simplify]: Extracting #10: cost 6 inf + 80168 209.243 * * [simplify]: Extracting #11: cost 0 inf + 83372 209.280 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))))))) 209.280 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 209.281 * * * * [progress]: [ 462 / 5906 ] simplifiying candidate # 209.282 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 209.282 * * [simplify]: iters left: 6 (48 enodes) 209.307 * * [simplify]: iters left: 5 (228 enodes) 209.399 * * [simplify]: Extracting #0: cost 1 inf + 0 209.399 * * [simplify]: Extracting #1: cost 3 inf + 0 209.399 * * [simplify]: Extracting #2: cost 10 inf + 0 209.400 * * [simplify]: Extracting #3: cost 62 inf + 0 209.400 * * [simplify]: Extracting #4: cost 115 inf + 42 209.401 * * [simplify]: Extracting #5: cost 156 inf + 207 209.403 * * [simplify]: Extracting #6: cost 212 inf + 2207 209.406 * * [simplify]: Extracting #7: cost 184 inf + 10304 209.416 * * [simplify]: Extracting #8: cost 144 inf + 17723 209.427 * * [simplify]: Extracting #9: cost 86 inf + 38905 209.446 * * [simplify]: Extracting #10: cost 33 inf + 60843 209.476 * * [simplify]: Extracting #11: cost 10 inf + 84538 209.512 * * [simplify]: Extracting #12: cost 0 inf + 96588 209.552 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 209.552 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 209.553 * * * * [progress]: [ 463 / 5906 ] simplifiying candidate # 209.553 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 209.553 * * [simplify]: iters left: 6 (43 enodes) 209.564 * * [simplify]: iters left: 5 (200 enodes) 209.625 * * [simplify]: Extracting #0: cost 1 inf + 0 209.625 * * [simplify]: Extracting #1: cost 3 inf + 0 209.625 * * [simplify]: Extracting #2: cost 10 inf + 0 209.625 * * [simplify]: Extracting #3: cost 54 inf + 0 209.626 * * [simplify]: Extracting #4: cost 95 inf + 86 209.627 * * [simplify]: Extracting #5: cost 118 inf + 1349 209.629 * * [simplify]: Extracting #6: cost 179 inf + 2934 209.632 * * [simplify]: Extracting #7: cost 175 inf + 4648 209.638 * * [simplify]: Extracting #8: cost 120 inf + 18993 209.654 * * [simplify]: Extracting #9: cost 41 inf + 48582 209.679 * * [simplify]: Extracting #10: cost 6 inf + 73924 209.695 * * [simplify]: Extracting #11: cost 0 inf + 77867 209.724 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))) 209.724 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 209.725 * * * * [progress]: [ 464 / 5906 ] simplifiying candidate # 209.726 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 209.726 * * [simplify]: iters left: 6 (48 enodes) 209.751 * * [simplify]: iters left: 5 (228 enodes) 209.812 * * [simplify]: Extracting #0: cost 1 inf + 0 209.812 * * [simplify]: Extracting #1: cost 3 inf + 0 209.812 * * [simplify]: Extracting #2: cost 10 inf + 0 209.812 * * [simplify]: Extracting #3: cost 62 inf + 0 209.813 * * [simplify]: Extracting #4: cost 115 inf + 42 209.814 * * [simplify]: Extracting #5: cost 155 inf + 249 209.815 * * [simplify]: Extracting #6: cost 213 inf + 2407 209.819 * * [simplify]: Extracting #7: cost 183 inf + 10796 209.828 * * [simplify]: Extracting #8: cost 144 inf + 17410 209.840 * * [simplify]: Extracting #9: cost 86 inf + 39024 209.859 * * [simplify]: Extracting #10: cost 33 inf + 61963 209.874 * * [simplify]: Extracting #11: cost 10 inf + 85658 209.900 * * [simplify]: Extracting #12: cost 0 inf + 97708 209.923 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 209.923 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 209.923 * * * * [progress]: [ 465 / 5906 ] simplifiying candidate # 209.924 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 209.924 * * [simplify]: iters left: 6 (43 enodes) 209.937 * * [simplify]: iters left: 5 (200 enodes) 210.016 * * [simplify]: Extracting #0: cost 1 inf + 0 210.016 * * [simplify]: Extracting #1: cost 3 inf + 0 210.016 * * [simplify]: Extracting #2: cost 10 inf + 0 210.017 * * [simplify]: Extracting #3: cost 53 inf + 0 210.017 * * [simplify]: Extracting #4: cost 96 inf + 44 210.018 * * [simplify]: Extracting #5: cost 120 inf + 1104 210.020 * * [simplify]: Extracting #6: cost 178 inf + 2976 210.022 * * [simplify]: Extracting #7: cost 175 inf + 4650 210.029 * * [simplify]: Extracting #8: cost 111 inf + 20488 210.045 * * [simplify]: Extracting #9: cost 47 inf + 44880 210.073 * * [simplify]: Extracting #10: cost 6 inf + 74995 210.105 * * [simplify]: Extracting #11: cost 0 inf + 78707 210.139 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))) 210.139 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 210.140 * * * * [progress]: [ 466 / 5906 ] simplifiying candidate # 210.141 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 210.141 * * [simplify]: iters left: 6 (52 enodes) 210.168 * * [simplify]: iters left: 5 (255 enodes) 210.247 * * [simplify]: Extracting #0: cost 1 inf + 0 210.247 * * [simplify]: Extracting #1: cost 3 inf + 0 210.247 * * [simplify]: Extracting #2: cost 6 inf + 0 210.248 * * [simplify]: Extracting #3: cost 56 inf + 0 210.248 * * [simplify]: Extracting #4: cost 130 inf + 0 210.249 * * [simplify]: Extracting #5: cost 210 inf + 0 210.251 * * [simplify]: Extracting #6: cost 297 inf + 2653 210.255 * * [simplify]: Extracting #7: cost 255 inf + 10569 210.265 * * [simplify]: Extracting #8: cost 142 inf + 35985 210.287 * * [simplify]: Extracting #9: cost 61 inf + 68362 210.328 * * [simplify]: Extracting #10: cost 9 inf + 120085 210.376 * * [simplify]: Extracting #11: cost 1 inf + 129965 210.429 * * [simplify]: Extracting #12: cost 0 inf + 131990 210.463 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))))) 210.463 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 210.464 * * * * [progress]: [ 467 / 5906 ] simplifiying candidate # 210.464 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 210.465 * * [simplify]: iters left: 6 (53 enodes) 210.479 * * [simplify]: iters left: 5 (264 enodes) 210.587 * * [simplify]: Extracting #0: cost 1 inf + 0 210.587 * * [simplify]: Extracting #1: cost 3 inf + 0 210.587 * * [simplify]: Extracting #2: cost 6 inf + 0 210.587 * * [simplify]: Extracting #3: cost 60 inf + 0 210.588 * * [simplify]: Extracting #4: cost 153 inf + 0 210.589 * * [simplify]: Extracting #5: cost 222 inf + 127 210.592 * * [simplify]: Extracting #6: cost 274 inf + 5499 210.597 * * [simplify]: Extracting #7: cost 246 inf + 12623 210.606 * * [simplify]: Extracting #8: cost 179 inf + 24984 210.623 * * [simplify]: Extracting #9: cost 107 inf + 54004 210.651 * * [simplify]: Extracting #10: cost 51 inf + 79734 210.698 * * [simplify]: Extracting #11: cost 6 inf + 127337 210.732 * * [simplify]: Extracting #12: cost 0 inf + 136087 210.768 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 210.768 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 210.769 * * * * [progress]: [ 468 / 5906 ] simplifiying candidate # 210.769 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 210.769 * * [simplify]: iters left: 6 (53 enodes) 210.785 * * [simplify]: iters left: 5 (264 enodes) 210.867 * * [simplify]: Extracting #0: cost 1 inf + 0 210.867 * * [simplify]: Extracting #1: cost 3 inf + 0 210.867 * * [simplify]: Extracting #2: cost 6 inf + 0 210.867 * * [simplify]: Extracting #3: cost 62 inf + 0 210.868 * * [simplify]: Extracting #4: cost 151 inf + 0 210.868 * * [simplify]: Extracting #5: cost 220 inf + 44 210.871 * * [simplify]: Extracting #6: cost 281 inf + 4118 210.877 * * [simplify]: Extracting #7: cost 240 inf + 14008 210.887 * * [simplify]: Extracting #8: cost 166 inf + 29485 210.909 * * [simplify]: Extracting #9: cost 71 inf + 65589 210.944 * * [simplify]: Extracting #10: cost 8 inf + 123199 210.988 * * [simplify]: Extracting #11: cost 0 inf + 133679 211.019 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 211.019 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 211.019 * * * * [progress]: [ 469 / 5906 ] simplifiying candidate # 211.020 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 211.020 * * [simplify]: iters left: 6 (47 enodes) 211.034 * * [simplify]: iters left: 5 (228 enodes) 211.094 * * [simplify]: Extracting #0: cost 1 inf + 0 211.094 * * [simplify]: Extracting #1: cost 3 inf + 0 211.094 * * [simplify]: Extracting #2: cost 6 inf + 0 211.094 * * [simplify]: Extracting #3: cost 54 inf + 0 211.094 * * [simplify]: Extracting #4: cost 119 inf + 0 211.095 * * [simplify]: Extracting #5: cost 168 inf + 44 211.095 * * [simplify]: Extracting #6: cost 248 inf + 1194 211.097 * * [simplify]: Extracting #7: cost 216 inf + 6686 211.101 * * [simplify]: Extracting #8: cost 132 inf + 29774 211.111 * * [simplify]: Extracting #9: cost 68 inf + 55233 211.132 * * [simplify]: Extracting #10: cost 11 inf + 96870 211.175 * * [simplify]: Extracting #11: cost 1 inf + 107193 211.217 * * [simplify]: Extracting #12: cost 0 inf + 109018 211.259 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2))))))))) 211.259 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 211.260 * * * * [progress]: [ 470 / 5906 ] simplifiying candidate # 211.260 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 211.261 * * [simplify]: iters left: 6 (52 enodes) 211.282 * * [simplify]: iters left: 5 (256 enodes) 211.337 * * [simplify]: Extracting #0: cost 1 inf + 0 211.337 * * [simplify]: Extracting #1: cost 3 inf + 0 211.337 * * [simplify]: Extracting #2: cost 10 inf + 0 211.337 * * [simplify]: Extracting #3: cost 74 inf + 0 211.337 * * [simplify]: Extracting #4: cost 136 inf + 42 211.338 * * [simplify]: Extracting #5: cost 189 inf + 248 211.339 * * [simplify]: Extracting #6: cost 262 inf + 3340 211.341 * * [simplify]: Extracting #7: cost 226 inf + 12514 211.345 * * [simplify]: Extracting #8: cost 170 inf + 23496 211.355 * * [simplify]: Extracting #9: cost 110 inf + 44855 211.393 * * [simplify]: Extracting #10: cost 12 inf + 114611 211.426 * * [simplify]: Extracting #11: cost 1 inf + 124804 211.464 * * [simplify]: Extracting #12: cost 0 inf + 126869 211.514 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2)))))))) 211.515 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 211.516 * * * * [progress]: [ 471 / 5906 ] simplifiying candidate # 211.516 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 211.517 * * [simplify]: iters left: 6 (47 enodes) 211.539 * * [simplify]: iters left: 5 (228 enodes) 211.608 * * [simplify]: Extracting #0: cost 1 inf + 0 211.608 * * [simplify]: Extracting #1: cost 3 inf + 0 211.608 * * [simplify]: Extracting #2: cost 10 inf + 0 211.608 * * [simplify]: Extracting #3: cost 66 inf + 0 211.608 * * [simplify]: Extracting #4: cost 117 inf + 44 211.610 * * [simplify]: Extracting #5: cost 150 inf + 1592 211.612 * * [simplify]: Extracting #6: cost 235 inf + 2974 211.614 * * [simplify]: Extracting #7: cost 230 inf + 4653 211.620 * * [simplify]: Extracting #8: cost 176 inf + 13724 211.631 * * [simplify]: Extracting #9: cost 105 inf + 37175 211.644 * * [simplify]: Extracting #10: cost 44 inf + 63765 211.661 * * [simplify]: Extracting #11: cost 11 inf + 92713 211.695 * * [simplify]: Extracting #12: cost 1 inf + 103403 211.716 * * [simplify]: Extracting #13: cost 0 inf + 105188 211.747 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))))))) 211.747 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 211.748 * * * * [progress]: [ 472 / 5906 ] simplifiying candidate # 211.748 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 211.749 * * [simplify]: iters left: 6 (52 enodes) 211.761 * * [simplify]: iters left: 5 (256 enodes) 211.857 * * [simplify]: Extracting #0: cost 1 inf + 0 211.857 * * [simplify]: Extracting #1: cost 3 inf + 0 211.857 * * [simplify]: Extracting #2: cost 10 inf + 0 211.858 * * [simplify]: Extracting #3: cost 74 inf + 0 211.858 * * [simplify]: Extracting #4: cost 136 inf + 42 211.859 * * [simplify]: Extracting #5: cost 189 inf + 248 211.861 * * [simplify]: Extracting #6: cost 269 inf + 1767 211.865 * * [simplify]: Extracting #7: cost 231 inf + 11414 211.872 * * [simplify]: Extracting #8: cost 172 inf + 22389 211.886 * * [simplify]: Extracting #9: cost 112 inf + 43746 211.912 * * [simplify]: Extracting #10: cost 11 inf + 117476 211.960 * * [simplify]: Extracting #11: cost 0 inf + 127829 212.003 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2)))))))) 212.004 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 212.005 * * * * [progress]: [ 473 / 5906 ] simplifiying candidate # 212.005 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 212.005 * * [simplify]: iters left: 6 (47 enodes) 212.027 * * [simplify]: iters left: 5 (228 enodes) 212.095 * * [simplify]: Extracting #0: cost 1 inf + 0 212.095 * * [simplify]: Extracting #1: cost 3 inf + 0 212.095 * * [simplify]: Extracting #2: cost 10 inf + 0 212.095 * * [simplify]: Extracting #3: cost 65 inf + 0 212.095 * * [simplify]: Extracting #4: cost 116 inf + 86 212.096 * * [simplify]: Extracting #5: cost 148 inf + 1836 212.097 * * [simplify]: Extracting #6: cost 235 inf + 2934 212.099 * * [simplify]: Extracting #7: cost 231 inf + 4611 212.104 * * [simplify]: Extracting #8: cost 172 inf + 15136 212.114 * * [simplify]: Extracting #9: cost 103 inf + 38514 212.126 * * [simplify]: Extracting #10: cost 42 inf + 65317 212.145 * * [simplify]: Extracting #11: cost 5 inf + 98503 212.170 * * [simplify]: Extracting #12: cost 1 inf + 103803 212.196 * * [simplify]: Extracting #13: cost 0 inf + 105588 212.218 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 212.219 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 212.220 * * * * [progress]: [ 474 / 5906 ] simplifiying candidate # 212.220 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 212.221 * * [simplify]: iters left: 6 (52 enodes) 212.243 * * [simplify]: iters left: 5 (254 enodes) 212.330 * * [simplify]: Extracting #0: cost 1 inf + 0 212.330 * * [simplify]: Extracting #1: cost 3 inf + 0 212.330 * * [simplify]: Extracting #2: cost 6 inf + 0 212.330 * * [simplify]: Extracting #3: cost 56 inf + 0 212.331 * * [simplify]: Extracting #4: cost 130 inf + 0 212.332 * * [simplify]: Extracting #5: cost 212 inf + 0 212.334 * * [simplify]: Extracting #6: cost 296 inf + 971 212.339 * * [simplify]: Extracting #7: cost 238 inf + 12662 212.350 * * [simplify]: Extracting #8: cost 166 inf + 27389 212.366 * * [simplify]: Extracting #9: cost 107 inf + 47297 212.392 * * [simplify]: Extracting #10: cost 49 inf + 76576 212.419 * * [simplify]: Extracting #11: cost 14 inf + 114708 212.450 * * [simplify]: Extracting #12: cost 1 inf + 130393 212.496 * * [simplify]: Extracting #13: cost 0 inf + 132458 212.550 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 212.550 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 212.551 * * * * [progress]: [ 475 / 5906 ] simplifiying candidate # 212.552 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 212.552 * * [simplify]: iters left: 6 (53 enodes) 212.580 * * [simplify]: iters left: 5 (263 enodes) 212.670 * * [simplify]: Extracting #0: cost 1 inf + 0 212.670 * * [simplify]: Extracting #1: cost 3 inf + 0 212.670 * * [simplify]: Extracting #2: cost 6 inf + 0 212.670 * * [simplify]: Extracting #3: cost 60 inf + 0 212.671 * * [simplify]: Extracting #4: cost 153 inf + 0 212.671 * * [simplify]: Extracting #5: cost 226 inf + 44 212.673 * * [simplify]: Extracting #6: cost 273 inf + 4770 212.675 * * [simplify]: Extracting #7: cost 240 inf + 12241 212.680 * * [simplify]: Extracting #8: cost 180 inf + 24843 212.691 * * [simplify]: Extracting #9: cost 106 inf + 51179 212.705 * * [simplify]: Extracting #10: cost 53 inf + 78194 212.731 * * [simplify]: Extracting #11: cost 10 inf + 123585 212.769 * * [simplify]: Extracting #12: cost 0 inf + 135555 212.807 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 212.807 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 212.808 * * * * [progress]: [ 476 / 5906 ] simplifiying candidate # 212.808 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 212.809 * * [simplify]: iters left: 6 (53 enodes) 212.839 * * [simplify]: iters left: 5 (263 enodes) 212.948 * * [simplify]: Extracting #0: cost 1 inf + 0 212.948 * * [simplify]: Extracting #1: cost 3 inf + 0 212.949 * * [simplify]: Extracting #2: cost 6 inf + 0 212.949 * * [simplify]: Extracting #3: cost 62 inf + 0 212.949 * * [simplify]: Extracting #4: cost 151 inf + 0 212.950 * * [simplify]: Extracting #5: cost 222 inf + 44 212.957 * * [simplify]: Extracting #6: cost 269 inf + 4889 212.963 * * [simplify]: Extracting #7: cost 232 inf + 14689 212.972 * * [simplify]: Extracting #8: cost 169 inf + 26960 212.990 * * [simplify]: Extracting #9: cost 95 inf + 57076 213.020 * * [simplify]: Extracting #10: cost 40 inf + 87227 213.065 * * [simplify]: Extracting #11: cost 5 inf + 125502 213.117 * * [simplify]: Extracting #12: cost 0 inf + 133307 213.150 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 213.150 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 213.151 * * * * [progress]: [ 477 / 5906 ] simplifiying candidate # 213.151 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 213.152 * * [simplify]: iters left: 6 (47 enodes) 213.170 * * [simplify]: iters left: 5 (227 enodes) 213.229 * * [simplify]: Extracting #0: cost 1 inf + 0 213.229 * * [simplify]: Extracting #1: cost 3 inf + 0 213.229 * * [simplify]: Extracting #2: cost 6 inf + 0 213.229 * * [simplify]: Extracting #3: cost 54 inf + 0 213.230 * * [simplify]: Extracting #4: cost 119 inf + 0 213.230 * * [simplify]: Extracting #5: cost 170 inf + 44 213.232 * * [simplify]: Extracting #6: cost 241 inf + 1277 213.235 * * [simplify]: Extracting #7: cost 211 inf + 6721 213.243 * * [simplify]: Extracting #8: cost 147 inf + 23145 213.257 * * [simplify]: Extracting #9: cost 97 inf + 43110 213.277 * * [simplify]: Extracting #10: cost 45 inf + 64494 213.309 * * [simplify]: Extracting #11: cost 11 inf + 95931 213.352 * * [simplify]: Extracting #12: cost 1 inf + 108741 213.396 * * [simplify]: Extracting #13: cost 0 inf + 110646 213.442 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))))))))) 213.442 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 213.443 * * * * [progress]: [ 478 / 5906 ] simplifiying candidate # 213.444 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 213.444 * * [simplify]: iters left: 6 (52 enodes) 213.471 * * [simplify]: iters left: 5 (255 enodes) 213.546 * * [simplify]: Extracting #0: cost 1 inf + 0 213.546 * * [simplify]: Extracting #1: cost 3 inf + 0 213.546 * * [simplify]: Extracting #2: cost 10 inf + 0 213.546 * * [simplify]: Extracting #3: cost 74 inf + 0 213.547 * * [simplify]: Extracting #4: cost 137 inf + 1 213.548 * * [simplify]: Extracting #5: cost 191 inf + 248 213.550 * * [simplify]: Extracting #6: cost 257 inf + 3179 213.554 * * [simplify]: Extracting #7: cost 232 inf + 8895 213.561 * * [simplify]: Extracting #8: cost 170 inf + 21454 213.569 * * [simplify]: Extracting #9: cost 116 inf + 39563 213.580 * * [simplify]: Extracting #10: cost 59 inf + 65975 213.605 * * [simplify]: Extracting #11: cost 5 inf + 120052 213.641 * * [simplify]: Extracting #12: cost 0 inf + 127057 213.676 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) 213.677 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 213.677 * * * * [progress]: [ 479 / 5906 ] simplifiying candidate # 213.677 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 213.678 * * [simplify]: iters left: 6 (47 enodes) 213.690 * * [simplify]: iters left: 5 (227 enodes) 213.754 * * [simplify]: Extracting #0: cost 1 inf + 0 213.754 * * [simplify]: Extracting #1: cost 3 inf + 0 213.755 * * [simplify]: Extracting #2: cost 10 inf + 0 213.755 * * [simplify]: Extracting #3: cost 66 inf + 0 213.758 * * [simplify]: Extracting #4: cost 117 inf + 44 213.758 * * [simplify]: Extracting #5: cost 152 inf + 1512 213.759 * * [simplify]: Extracting #6: cost 229 inf + 2934 213.761 * * [simplify]: Extracting #7: cost 226 inf + 4606 213.764 * * [simplify]: Extracting #8: cost 146 inf + 22404 213.780 * * [simplify]: Extracting #9: cost 57 inf + 60718 213.806 * * [simplify]: Extracting #10: cost 15 inf + 90229 213.827 * * [simplify]: Extracting #11: cost 1 inf + 102791 213.868 * * [simplify]: Extracting #12: cost 0 inf + 104576 213.911 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) 213.911 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 213.912 * * * * [progress]: [ 480 / 5906 ] simplifiying candidate # 213.913 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 213.913 * * [simplify]: iters left: 6 (52 enodes) 213.940 * * [simplify]: iters left: 5 (255 enodes) 214.009 * * [simplify]: Extracting #0: cost 1 inf + 0 214.009 * * [simplify]: Extracting #1: cost 3 inf + 0 214.009 * * [simplify]: Extracting #2: cost 10 inf + 0 214.009 * * [simplify]: Extracting #3: cost 74 inf + 0 214.010 * * [simplify]: Extracting #4: cost 137 inf + 1 214.010 * * [simplify]: Extracting #5: cost 191 inf + 248 214.014 * * [simplify]: Extracting #6: cost 262 inf + 1969 214.015 * * [simplify]: Extracting #7: cost 239 inf + 7963 214.019 * * [simplify]: Extracting #8: cost 169 inf + 22476 214.026 * * [simplify]: Extracting #9: cost 116 inf + 39803 214.041 * * [simplify]: Extracting #10: cost 59 inf + 66855 214.080 * * [simplify]: Extracting #11: cost 5 inf + 121172 214.138 * * [simplify]: Extracting #12: cost 0 inf + 128177 214.191 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) 214.191 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 214.192 * * * * [progress]: [ 481 / 5906 ] simplifiying candidate # 214.193 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 214.193 * * [simplify]: iters left: 6 (47 enodes) 214.218 * * [simplify]: iters left: 5 (227 enodes) 214.297 * * [simplify]: Extracting #0: cost 1 inf + 0 214.297 * * [simplify]: Extracting #1: cost 3 inf + 0 214.297 * * [simplify]: Extracting #2: cost 10 inf + 0 214.298 * * [simplify]: Extracting #3: cost 65 inf + 0 214.298 * * [simplify]: Extracting #4: cost 117 inf + 44 214.298 * * [simplify]: Extracting #5: cost 160 inf + 537 214.299 * * [simplify]: Extracting #6: cost 228 inf + 2976 214.301 * * [simplify]: Extracting #7: cost 226 inf + 4568 214.304 * * [simplify]: Extracting #8: cost 146 inf + 22363 214.317 * * [simplify]: Extracting #9: cost 57 inf + 60878 214.341 * * [simplify]: Extracting #10: cost 13 inf + 91053 214.380 * * [simplify]: Extracting #11: cost 1 inf + 103191 214.421 * * [simplify]: Extracting #12: cost 0 inf + 104976 214.463 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) 214.463 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 214.464 * * * * [progress]: [ 482 / 5906 ] simplifiying candidate # 214.465 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 214.465 * * [simplify]: iters left: 6 (52 enodes) 214.495 * * [simplify]: iters left: 5 (255 enodes) 214.567 * * [simplify]: Extracting #0: cost 1 inf + 0 214.567 * * [simplify]: Extracting #1: cost 3 inf + 0 214.567 * * [simplify]: Extracting #2: cost 6 inf + 0 214.567 * * [simplify]: Extracting #3: cost 56 inf + 0 214.568 * * [simplify]: Extracting #4: cost 130 inf + 0 214.568 * * [simplify]: Extracting #5: cost 207 inf + 0 214.569 * * [simplify]: Extracting #6: cost 287 inf + 1167 214.571 * * [simplify]: Extracting #7: cost 224 inf + 13987 214.582 * * [simplify]: Extracting #8: cost 139 inf + 38476 214.600 * * [simplify]: Extracting #9: cost 98 inf + 53655 214.625 * * [simplify]: Extracting #10: cost 46 inf + 75477 214.663 * * [simplify]: Extracting #11: cost 10 inf + 111175 214.691 * * [simplify]: Extracting #12: cost 0 inf + 124265 214.717 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))))) 214.717 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 214.718 * * * * [progress]: [ 483 / 5906 ] simplifiying candidate # 214.719 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 214.719 * * [simplify]: iters left: 6 (53 enodes) 214.743 * * [simplify]: iters left: 5 (264 enodes) 214.811 * * [simplify]: Extracting #0: cost 1 inf + 0 214.811 * * [simplify]: Extracting #1: cost 3 inf + 0 214.811 * * [simplify]: Extracting #2: cost 6 inf + 0 214.811 * * [simplify]: Extracting #3: cost 60 inf + 0 214.812 * * [simplify]: Extracting #4: cost 153 inf + 0 214.813 * * [simplify]: Extracting #5: cost 221 inf + 44 214.819 * * [simplify]: Extracting #6: cost 259 inf + 5747 214.825 * * [simplify]: Extracting #7: cost 216 inf + 15946 214.838 * * [simplify]: Extracting #8: cost 143 inf + 38988 214.858 * * [simplify]: Extracting #9: cost 94 inf + 59288 214.878 * * [simplify]: Extracting #10: cost 44 inf + 79622 214.899 * * [simplify]: Extracting #11: cost 6 inf + 119172 214.943 * * [simplify]: Extracting #12: cost 0 inf + 128242 214.993 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 214.993 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 214.994 * * * * [progress]: [ 484 / 5906 ] simplifiying candidate # 214.994 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 214.995 * * [simplify]: iters left: 6 (53 enodes) 215.022 * * [simplify]: iters left: 5 (264 enodes) 215.130 * * [simplify]: Extracting #0: cost 1 inf + 0 215.130 * * [simplify]: Extracting #1: cost 3 inf + 0 215.130 * * [simplify]: Extracting #2: cost 6 inf + 0 215.130 * * [simplify]: Extracting #3: cost 62 inf + 0 215.131 * * [simplify]: Extracting #4: cost 151 inf + 0 215.132 * * [simplify]: Extracting #5: cost 217 inf + 44 215.135 * * [simplify]: Extracting #6: cost 260 inf + 5216 215.141 * * [simplify]: Extracting #7: cost 207 inf + 18764 215.153 * * [simplify]: Extracting #8: cost 142 inf + 39337 215.169 * * [simplify]: Extracting #9: cost 93 inf + 59445 215.182 * * [simplify]: Extracting #10: cost 46 inf + 77524 215.216 * * [simplify]: Extracting #11: cost 12 inf + 112374 215.265 * * [simplify]: Extracting #12: cost 0 inf + 125914 215.313 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 215.313 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 215.314 * * * * [progress]: [ 485 / 5906 ] simplifiying candidate # 215.314 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 215.315 * * [simplify]: iters left: 6 (47 enodes) 215.340 * * [simplify]: iters left: 5 (228 enodes) 215.433 * * [simplify]: Extracting #0: cost 1 inf + 0 215.433 * * [simplify]: Extracting #1: cost 3 inf + 0 215.433 * * [simplify]: Extracting #2: cost 6 inf + 0 215.434 * * [simplify]: Extracting #3: cost 54 inf + 0 215.434 * * [simplify]: Extracting #4: cost 119 inf + 0 215.435 * * [simplify]: Extracting #5: cost 165 inf + 44 215.437 * * [simplify]: Extracting #6: cost 236 inf + 1316 215.440 * * [simplify]: Extracting #7: cost 214 inf + 5820 215.447 * * [simplify]: Extracting #8: cost 151 inf + 23003 215.462 * * [simplify]: Extracting #9: cost 99 inf + 42853 215.485 * * [simplify]: Extracting #10: cost 33 inf + 69840 215.520 * * [simplify]: Extracting #11: cost 3 inf + 96498 215.558 * * [simplify]: Extracting #12: cost 1 inf + 100108 215.587 * * [simplify]: Extracting #13: cost 0 inf + 101933 215.620 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) 215.620 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 215.620 * * * * [progress]: [ 486 / 5906 ] simplifiying candidate # 215.621 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 215.621 * * [simplify]: iters left: 6 (52 enodes) 215.634 * * [simplify]: iters left: 5 (256 enodes) 215.735 * * [simplify]: Extracting #0: cost 1 inf + 0 215.735 * * [simplify]: Extracting #1: cost 3 inf + 0 215.735 * * [simplify]: Extracting #2: cost 10 inf + 0 215.735 * * [simplify]: Extracting #3: cost 74 inf + 0 215.736 * * [simplify]: Extracting #4: cost 137 inf + 1 215.737 * * [simplify]: Extracting #5: cost 188 inf + 165 215.739 * * [simplify]: Extracting #6: cost 249 inf + 3304 215.744 * * [simplify]: Extracting #7: cost 203 inf + 14736 215.753 * * [simplify]: Extracting #8: cost 148 inf + 30120 215.763 * * [simplify]: Extracting #9: cost 90 inf + 52562 215.775 * * [simplify]: Extracting #10: cost 54 inf + 65714 215.801 * * [simplify]: Extracting #11: cost 6 inf + 109674 215.837 * * [simplify]: Extracting #12: cost 1 inf + 117239 215.877 * * [simplify]: Extracting #13: cost 0 inf + 119344 215.907 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 215.907 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 215.908 * * * * [progress]: [ 487 / 5906 ] simplifiying candidate # 215.908 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 215.908 * * [simplify]: iters left: 6 (47 enodes) 215.932 * * [simplify]: iters left: 5 (228 enodes) 216.026 * * [simplify]: Extracting #0: cost 1 inf + 0 216.026 * * [simplify]: Extracting #1: cost 3 inf + 0 216.026 * * [simplify]: Extracting #2: cost 10 inf + 0 216.026 * * [simplify]: Extracting #3: cost 66 inf + 0 216.027 * * [simplify]: Extracting #4: cost 117 inf + 44 216.028 * * [simplify]: Extracting #5: cost 148 inf + 1350 216.030 * * [simplify]: Extracting #6: cost 223 inf + 2976 216.033 * * [simplify]: Extracting #7: cost 210 inf + 5584 216.040 * * [simplify]: Extracting #8: cost 137 inf + 23364 216.058 * * [simplify]: Extracting #9: cost 61 inf + 52238 216.090 * * [simplify]: Extracting #10: cost 6 inf + 93301 216.119 * * [simplify]: Extracting #11: cost 1 inf + 96638 216.150 * * [simplify]: Extracting #12: cost 0 inf + 98463 216.174 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 216.174 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 216.175 * * * * [progress]: [ 488 / 5906 ] simplifiying candidate # 216.175 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 216.175 * * [simplify]: iters left: 6 (52 enodes) 216.189 * * [simplify]: iters left: 5 (256 enodes) 216.256 * * [simplify]: Extracting #0: cost 1 inf + 0 216.256 * * [simplify]: Extracting #1: cost 3 inf + 0 216.256 * * [simplify]: Extracting #2: cost 10 inf + 0 216.256 * * [simplify]: Extracting #3: cost 74 inf + 0 216.257 * * [simplify]: Extracting #4: cost 137 inf + 1 216.258 * * [simplify]: Extracting #5: cost 188 inf + 165 216.260 * * [simplify]: Extracting #6: cost 255 inf + 2093 216.264 * * [simplify]: Extracting #7: cost 214 inf + 10966 216.274 * * [simplify]: Extracting #8: cost 147 inf + 31023 216.290 * * [simplify]: Extracting #9: cost 90 inf + 53202 216.312 * * [simplify]: Extracting #10: cost 54 inf + 66674 216.340 * * [simplify]: Extracting #11: cost 21 inf + 91299 216.388 * * [simplify]: Extracting #12: cost 2 inf + 117014 216.427 * * [simplify]: Extracting #13: cost 0 inf + 120304 216.457 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ lambda2 lambda1)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 216.457 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ lambda2 lambda1)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 216.459 * * * * [progress]: [ 489 / 5906 ] simplifiying candidate # 216.459 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 216.460 * * [simplify]: iters left: 6 (47 enodes) 216.480 * * [simplify]: iters left: 5 (228 enodes) 216.548 * * [simplify]: Extracting #0: cost 1 inf + 0 216.548 * * [simplify]: Extracting #1: cost 3 inf + 0 216.548 * * [simplify]: Extracting #2: cost 10 inf + 0 216.549 * * [simplify]: Extracting #3: cost 65 inf + 0 216.549 * * [simplify]: Extracting #4: cost 117 inf + 44 216.550 * * [simplify]: Extracting #5: cost 154 inf + 618 216.552 * * [simplify]: Extracting #6: cost 224 inf + 2814 216.555 * * [simplify]: Extracting #7: cost 208 inf + 6071 216.561 * * [simplify]: Extracting #8: cost 164 inf + 15168 216.572 * * [simplify]: Extracting #9: cost 105 inf + 35608 216.583 * * [simplify]: Extracting #10: cost 39 inf + 62575 216.600 * * [simplify]: Extracting #11: cost 2 inf + 95053 216.637 * * [simplify]: Extracting #12: cost 1 inf + 96878 216.657 * * [simplify]: Extracting #13: cost 0 inf + 98703 216.693 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 216.693 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 216.693 * * * * [progress]: [ 490 / 5906 ] simplifiying candidate # 216.694 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 216.694 * * [simplify]: iters left: 6 (51 enodes) 216.707 * * [simplify]: iters left: 5 (244 enodes) 216.776 * * [simplify]: Extracting #0: cost 1 inf + 0 216.776 * * [simplify]: Extracting #1: cost 3 inf + 0 216.776 * * [simplify]: Extracting #2: cost 6 inf + 0 216.776 * * [simplify]: Extracting #3: cost 56 inf + 0 216.776 * * [simplify]: Extracting #4: cost 130 inf + 0 216.777 * * [simplify]: Extracting #5: cost 207 inf + 0 216.777 * * [simplify]: Extracting #6: cost 276 inf + 1266 216.780 * * [simplify]: Extracting #7: cost 202 inf + 15041 216.786 * * [simplify]: Extracting #8: cost 115 inf + 44319 216.798 * * [simplify]: Extracting #9: cost 55 inf + 66258 216.816 * * [simplify]: Extracting #10: cost 37 inf + 79148 216.845 * * [simplify]: Extracting #11: cost 5 inf + 117508 216.870 * * [simplify]: Extracting #12: cost 0 inf + 126113 216.901 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 216.901 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 216.901 * * * * [progress]: [ 491 / 5906 ] simplifiying candidate # 216.902 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 216.902 * * [simplify]: iters left: 6 (52 enodes) 216.915 * * [simplify]: iters left: 5 (253 enodes) 216.986 * * [simplify]: Extracting #0: cost 1 inf + 0 216.986 * * [simplify]: Extracting #1: cost 3 inf + 0 216.986 * * [simplify]: Extracting #2: cost 6 inf + 0 216.987 * * [simplify]: Extracting #3: cost 60 inf + 0 216.987 * * [simplify]: Extracting #4: cost 153 inf + 0 216.987 * * [simplify]: Extracting #5: cost 221 inf + 44 216.989 * * [simplify]: Extracting #6: cost 245 inf + 6752 216.992 * * [simplify]: Extracting #7: cost 204 inf + 14125 216.997 * * [simplify]: Extracting #8: cost 133 inf + 34209 217.010 * * [simplify]: Extracting #9: cost 67 inf + 60940 217.051 * * [simplify]: Extracting #10: cost 7 inf + 119795 217.090 * * [simplify]: Extracting #11: cost 1 inf + 126705 217.125 * * [simplify]: Extracting #12: cost 0 inf + 128810 217.174 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) 217.174 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 217.175 * * * * [progress]: [ 492 / 5906 ] simplifiying candidate # 217.175 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 217.176 * * [simplify]: iters left: 6 (52 enodes) 217.196 * * [simplify]: iters left: 5 (253 enodes) 217.266 * * [simplify]: Extracting #0: cost 1 inf + 0 217.266 * * [simplify]: Extracting #1: cost 3 inf + 0 217.267 * * [simplify]: Extracting #2: cost 6 inf + 0 217.267 * * [simplify]: Extracting #3: cost 62 inf + 0 217.267 * * [simplify]: Extracting #4: cost 151 inf + 0 217.267 * * [simplify]: Extracting #5: cost 217 inf + 44 217.269 * * [simplify]: Extracting #6: cost 247 inf + 5862 217.272 * * [simplify]: Extracting #7: cost 198 inf + 15210 217.278 * * [simplify]: Extracting #8: cost 132 inf + 33689 217.296 * * [simplify]: Extracting #9: cost 59 inf + 66612 217.321 * * [simplify]: Extracting #10: cost 11 inf + 113068 217.368 * * [simplify]: Extracting #11: cost 1 inf + 124297 217.397 * * [simplify]: Extracting #12: cost 0 inf + 126402 217.438 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 217.438 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 217.439 * * * * [progress]: [ 493 / 5906 ] simplifiying candidate # 217.440 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 217.440 * * [simplify]: iters left: 6 (46 enodes) 217.465 * * [simplify]: iters left: 5 (217 enodes) 217.549 * * [simplify]: Extracting #0: cost 1 inf + 0 217.549 * * [simplify]: Extracting #1: cost 3 inf + 0 217.549 * * [simplify]: Extracting #2: cost 6 inf + 0 217.549 * * [simplify]: Extracting #3: cost 54 inf + 0 217.550 * * [simplify]: Extracting #4: cost 119 inf + 0 217.550 * * [simplify]: Extracting #5: cost 165 inf + 44 217.552 * * [simplify]: Extracting #6: cost 225 inf + 1115 217.554 * * [simplify]: Extracting #7: cost 211 inf + 3481 217.560 * * [simplify]: Extracting #8: cost 153 inf + 17047 217.574 * * [simplify]: Extracting #9: cost 93 inf + 41746 217.593 * * [simplify]: Extracting #10: cost 44 inf + 59147 217.617 * * [simplify]: Extracting #11: cost 11 inf + 89626 217.642 * * [simplify]: Extracting #12: cost 1 inf + 102036 217.674 * * [simplify]: Extracting #13: cost 0 inf + 103901 217.698 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) 217.698 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 217.699 * * * * [progress]: [ 494 / 5906 ] simplifiying candidate # 217.699 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 217.700 * * [simplify]: iters left: 6 (51 enodes) 217.712 * * [simplify]: iters left: 5 (245 enodes) 217.807 * * [simplify]: Extracting #0: cost 1 inf + 0 217.807 * * [simplify]: Extracting #1: cost 3 inf + 0 217.807 * * [simplify]: Extracting #2: cost 10 inf + 0 217.807 * * [simplify]: Extracting #3: cost 74 inf + 0 217.808 * * [simplify]: Extracting #4: cost 137 inf + 1 217.809 * * [simplify]: Extracting #5: cost 186 inf + 249 217.811 * * [simplify]: Extracting #6: cost 244 inf + 1970 217.816 * * [simplify]: Extracting #7: cost 180 inf + 17402 217.827 * * [simplify]: Extracting #8: cost 132 inf + 35227 217.842 * * [simplify]: Extracting #9: cost 97 inf + 48661 217.864 * * [simplify]: Extracting #10: cost 53 inf + 65387 217.901 * * [simplify]: Extracting #11: cost 9 inf + 104567 217.925 * * [simplify]: Extracting #12: cost 0 inf + 118032 217.956 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) 217.956 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 217.956 * * * * [progress]: [ 495 / 5906 ] simplifiying candidate # 217.957 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 217.957 * * [simplify]: iters left: 6 (46 enodes) 217.969 * * [simplify]: iters left: 5 (217 enodes) 218.041 * * [simplify]: Extracting #0: cost 1 inf + 0 218.041 * * [simplify]: Extracting #1: cost 3 inf + 0 218.041 * * [simplify]: Extracting #2: cost 10 inf + 0 218.041 * * [simplify]: Extracting #3: cost 66 inf + 0 218.041 * * [simplify]: Extracting #4: cost 117 inf + 44 218.042 * * [simplify]: Extracting #5: cost 152 inf + 822 218.043 * * [simplify]: Extracting #6: cost 214 inf + 2772 218.044 * * [simplify]: Extracting #7: cost 213 inf + 3553 218.047 * * [simplify]: Extracting #8: cost 149 inf + 19413 218.054 * * [simplify]: Extracting #9: cost 79 inf + 45153 218.071 * * [simplify]: Extracting #10: cost 42 inf + 58554 218.093 * * [simplify]: Extracting #11: cost 17 inf + 80926 218.114 * * [simplify]: Extracting #12: cost 0 inf + 98071 218.148 * * [simplify]: Extracting #13: cost 0 inf + 97831 218.185 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 218.186 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 218.187 * * * * [progress]: [ 496 / 5906 ] simplifiying candidate # 218.188 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 218.189 * * [simplify]: iters left: 6 (51 enodes) 218.214 * * [simplify]: iters left: 5 (245 enodes) 218.312 * * [simplify]: Extracting #0: cost 1 inf + 0 218.312 * * [simplify]: Extracting #1: cost 3 inf + 0 218.312 * * [simplify]: Extracting #2: cost 10 inf + 0 218.313 * * [simplify]: Extracting #3: cost 74 inf + 0 218.313 * * [simplify]: Extracting #4: cost 137 inf + 1 218.314 * * [simplify]: Extracting #5: cost 187 inf + 207 218.316 * * [simplify]: Extracting #6: cost 242 inf + 2333 218.321 * * [simplify]: Extracting #7: cost 177 inf + 17855 218.332 * * [simplify]: Extracting #8: cost 137 inf + 31755 218.348 * * [simplify]: Extracting #9: cost 97 inf + 49701 218.369 * * [simplify]: Extracting #10: cost 52 inf + 66812 218.404 * * [simplify]: Extracting #11: cost 9 inf + 105687 218.430 * * [simplify]: Extracting #12: cost 1 inf + 117167 218.454 * * [simplify]: Extracting #13: cost 0 inf + 119152 218.487 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) 218.487 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 218.488 * * * * [progress]: [ 497 / 5906 ] simplifiying candidate # 218.489 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 218.489 * * [simplify]: iters left: 6 (46 enodes) 218.513 * * [simplify]: iters left: 5 (217 enodes) 218.565 * * [simplify]: Extracting #0: cost 1 inf + 0 218.565 * * [simplify]: Extracting #1: cost 3 inf + 0 218.565 * * [simplify]: Extracting #2: cost 10 inf + 0 218.565 * * [simplify]: Extracting #3: cost 65 inf + 0 218.565 * * [simplify]: Extracting #4: cost 117 inf + 44 218.566 * * [simplify]: Extracting #5: cost 153 inf + 660 218.567 * * [simplify]: Extracting #6: cost 214 inf + 2772 218.568 * * [simplify]: Extracting #7: cost 210 inf + 3837 218.571 * * [simplify]: Extracting #8: cost 149 inf + 19935 218.579 * * [simplify]: Extracting #9: cost 81 inf + 44984 218.590 * * [simplify]: Extracting #10: cost 43 inf + 58649 218.603 * * [simplify]: Extracting #11: cost 17 inf + 81486 218.622 * * [simplify]: Extracting #12: cost 0 inf + 98631 218.643 * * [simplify]: Extracting #13: cost 0 inf + 98391 218.664 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 218.664 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 218.665 * * * * [progress]: [ 498 / 5906 ] simplifiying candidate # 218.666 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 218.666 * * [simplify]: iters left: 6 (50 enodes) 218.692 * * [simplify]: iters left: 5 (240 enodes) 218.765 * * [simplify]: Extracting #0: cost 1 inf + 0 218.765 * * [simplify]: Extracting #1: cost 3 inf + 0 218.765 * * [simplify]: Extracting #2: cost 6 inf + 0 218.765 * * [simplify]: Extracting #3: cost 57 inf + 0 218.765 * * [simplify]: Extracting #4: cost 128 inf + 0 218.766 * * [simplify]: Extracting #5: cost 193 inf + 0 218.768 * * [simplify]: Extracting #6: cost 264 inf + 3156 218.772 * * [simplify]: Extracting #7: cost 203 inf + 16575 218.781 * * [simplify]: Extracting #8: cost 128 inf + 33191 218.790 * * [simplify]: Extracting #9: cost 66 inf + 55181 218.803 * * [simplify]: Extracting #10: cost 34 inf + 76830 218.837 * * [simplify]: Extracting #11: cost 4 inf + 109620 218.882 * * [simplify]: Extracting #12: cost 0 inf + 114720 218.909 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 218.909 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 218.910 * * * * [progress]: [ 499 / 5906 ] simplifiying candidate # 218.910 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 218.910 * * [simplify]: iters left: 6 (51 enodes) 218.928 * * [simplify]: iters left: 5 (249 enodes) 218.998 * * [simplify]: Extracting #0: cost 1 inf + 0 218.998 * * [simplify]: Extracting #1: cost 3 inf + 0 218.999 * * [simplify]: Extracting #2: cost 6 inf + 0 218.999 * * [simplify]: Extracting #3: cost 61 inf + 0 218.999 * * [simplify]: Extracting #4: cost 151 inf + 0 218.999 * * [simplify]: Extracting #5: cost 207 inf + 44 219.001 * * [simplify]: Extracting #6: cost 245 inf + 5374 219.004 * * [simplify]: Extracting #7: cost 200 inf + 17832 219.008 * * [simplify]: Extracting #8: cost 158 inf + 26322 219.015 * * [simplify]: Extracting #9: cost 110 inf + 39118 219.036 * * [simplify]: Extracting #10: cost 28 inf + 92976 219.071 * * [simplify]: Extracting #11: cost 3 inf + 111542 219.096 * * [simplify]: Extracting #12: cost 0 inf + 117097 219.133 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 219.133 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 219.133 * * * * [progress]: [ 500 / 5906 ] simplifiying candidate # 219.134 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 219.134 * * [simplify]: iters left: 6 (51 enodes) 219.147 * * [simplify]: iters left: 5 (249 enodes) 219.212 * * [simplify]: Extracting #0: cost 1 inf + 0 219.212 * * [simplify]: Extracting #1: cost 3 inf + 0 219.212 * * [simplify]: Extracting #2: cost 6 inf + 0 219.212 * * [simplify]: Extracting #3: cost 63 inf + 0 219.213 * * [simplify]: Extracting #4: cost 149 inf + 0 219.214 * * [simplify]: Extracting #5: cost 203 inf + 44 219.217 * * [simplify]: Extracting #6: cost 238 inf + 5660 219.221 * * [simplify]: Extracting #7: cost 210 inf + 14231 219.226 * * [simplify]: Extracting #8: cost 157 inf + 25270 219.231 * * [simplify]: Extracting #9: cost 118 inf + 35332 219.240 * * [simplify]: Extracting #10: cost 78 inf + 50162 219.266 * * [simplify]: Extracting #11: cost 10 inf + 104359 219.293 * * [simplify]: Extracting #12: cost 0 inf + 114809 219.343 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 219.343 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 219.345 * * * * [progress]: [ 501 / 5906 ] simplifiying candidate # 219.345 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 219.346 * * [simplify]: iters left: 6 (45 enodes) 219.371 * * [simplify]: iters left: 5 (213 enodes) 219.451 * * [simplify]: Extracting #0: cost 1 inf + 0 219.451 * * [simplify]: Extracting #1: cost 3 inf + 0 219.451 * * [simplify]: Extracting #2: cost 6 inf + 0 219.451 * * [simplify]: Extracting #3: cost 55 inf + 0 219.452 * * [simplify]: Extracting #4: cost 117 inf + 0 219.456 * * [simplify]: Extracting #5: cost 150 inf + 85 219.457 * * [simplify]: Extracting #6: cost 219 inf + 910 219.459 * * [simplify]: Extracting #7: cost 207 inf + 4004 219.465 * * [simplify]: Extracting #8: cost 142 inf + 17761 219.479 * * [simplify]: Extracting #9: cost 72 inf + 41362 219.507 * * [simplify]: Extracting #10: cost 12 inf + 80901 219.540 * * [simplify]: Extracting #11: cost 0 inf + 92388 219.574 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- lambda1 lambda2))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))))) 219.575 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- lambda1 lambda2))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 219.575 * * * * [progress]: [ 502 / 5906 ] simplifiying candidate # 219.576 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 219.576 * * [simplify]: iters left: 6 (50 enodes) 219.601 * * [simplify]: iters left: 5 (241 enodes) 219.654 * * [simplify]: Extracting #0: cost 1 inf + 0 219.654 * * [simplify]: Extracting #1: cost 3 inf + 0 219.654 * * [simplify]: Extracting #2: cost 10 inf + 0 219.654 * * [simplify]: Extracting #3: cost 75 inf + 0 219.655 * * [simplify]: Extracting #4: cost 142 inf + 1 219.655 * * [simplify]: Extracting #5: cost 179 inf + 249 219.656 * * [simplify]: Extracting #6: cost 238 inf + 2738 219.658 * * [simplify]: Extracting #7: cost 210 inf + 11520 219.662 * * [simplify]: Extracting #8: cost 155 inf + 25243 219.669 * * [simplify]: Extracting #9: cost 102 inf + 44134 219.678 * * [simplify]: Extracting #10: cost 64 inf + 57574 219.696 * * [simplify]: Extracting #11: cost 23 inf + 86519 219.736 * * [simplify]: Extracting #12: cost 2 inf + 109044 219.768 * * [simplify]: Extracting #13: cost 0 inf + 111814 219.792 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))))))) 219.792 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 219.793 * * * * [progress]: [ 503 / 5906 ] simplifiying candidate # 219.794 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 219.794 * * [simplify]: iters left: 6 (45 enodes) 219.817 * * [simplify]: iters left: 5 (213 enodes) 219.887 * * [simplify]: Extracting #0: cost 1 inf + 0 219.887 * * [simplify]: Extracting #1: cost 3 inf + 0 219.887 * * [simplify]: Extracting #2: cost 10 inf + 0 219.888 * * [simplify]: Extracting #3: cost 67 inf + 0 219.888 * * [simplify]: Extracting #4: cost 122 inf + 44 219.888 * * [simplify]: Extracting #5: cost 147 inf + 578 219.889 * * [simplify]: Extracting #6: cost 210 inf + 2934 219.890 * * [simplify]: Extracting #7: cost 216 inf + 3510 219.893 * * [simplify]: Extracting #8: cost 153 inf + 15822 219.900 * * [simplify]: Extracting #9: cost 70 inf + 45758 219.915 * * [simplify]: Extracting #10: cost 11 inf + 83873 219.946 * * [simplify]: Extracting #11: cost 0 inf + 92333 219.973 * * [simplify]: Extracting #12: cost 0 inf + 92253 219.993 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (+ phi2 phi1)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1)))))) 219.994 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (+ phi2 phi1)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 219.994 * * * * [progress]: [ 504 / 5906 ] simplifiying candidate # 219.995 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 219.996 * * [simplify]: iters left: 6 (50 enodes) 220.020 * * [simplify]: iters left: 5 (241 enodes) 220.087 * * [simplify]: Extracting #0: cost 1 inf + 0 220.087 * * [simplify]: Extracting #1: cost 3 inf + 0 220.088 * * [simplify]: Extracting #2: cost 10 inf + 0 220.088 * * [simplify]: Extracting #3: cost 75 inf + 0 220.088 * * [simplify]: Extracting #4: cost 142 inf + 1 220.090 * * [simplify]: Extracting #5: cost 180 inf + 207 220.092 * * [simplify]: Extracting #6: cost 240 inf + 2575 220.096 * * [simplify]: Extracting #7: cost 210 inf + 11520 220.103 * * [simplify]: Extracting #8: cost 157 inf + 25079 220.117 * * [simplify]: Extracting #9: cost 102 inf + 45135 220.135 * * [simplify]: Extracting #10: cost 64 inf + 58534 220.162 * * [simplify]: Extracting #11: cost 26 inf + 83604 220.203 * * [simplify]: Extracting #12: cost 4 inf + 106474 220.231 * * [simplify]: Extracting #13: cost 1 inf + 110989 220.266 * * [simplify]: Extracting #14: cost 0 inf + 112774 220.307 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))))))) 220.307 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 220.308 * * * * [progress]: [ 505 / 5906 ] simplifiying candidate # 220.308 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 220.308 * * [simplify]: iters left: 6 (45 enodes) 220.320 * * [simplify]: iters left: 5 (213 enodes) 220.387 * * [simplify]: Extracting #0: cost 1 inf + 0 220.387 * * [simplify]: Extracting #1: cost 3 inf + 0 220.387 * * [simplify]: Extracting #2: cost 10 inf + 0 220.388 * * [simplify]: Extracting #3: cost 66 inf + 0 220.388 * * [simplify]: Extracting #4: cost 122 inf + 44 220.389 * * [simplify]: Extracting #5: cost 145 inf + 783 220.391 * * [simplify]: Extracting #6: cost 210 inf + 2934 220.393 * * [simplify]: Extracting #7: cost 214 inf + 3712 220.398 * * [simplify]: Extracting #8: cost 151 inf + 16345 220.413 * * [simplify]: Extracting #9: cost 70 inf + 45636 220.433 * * [simplify]: Extracting #10: cost 10 inf + 84645 220.451 * * [simplify]: Extracting #11: cost 0 inf + 92893 220.485 * * [simplify]: Extracting #12: cost 0 inf + 92813 220.515 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (+ phi2 phi1)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1)))))) 220.515 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (+ phi2 phi1)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 220.515 * * * * [progress]: [ 506 / 5906 ] simplifiying candidate # 220.516 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 220.516 * * [simplify]: iters left: 6 (51 enodes) 220.529 * * [simplify]: iters left: 5 (244 enodes) 220.624 * * [simplify]: Extracting #0: cost 1 inf + 0 220.624 * * [simplify]: Extracting #1: cost 3 inf + 0 220.624 * * [simplify]: Extracting #2: cost 6 inf + 0 220.624 * * [simplify]: Extracting #3: cost 56 inf + 0 220.625 * * [simplify]: Extracting #4: cost 130 inf + 0 220.626 * * [simplify]: Extracting #5: cost 207 inf + 0 220.627 * * [simplify]: Extracting #6: cost 276 inf + 1266 220.631 * * [simplify]: Extracting #7: cost 203 inf + 14919 220.644 * * [simplify]: Extracting #8: cost 114 inf + 44824 220.663 * * [simplify]: Extracting #9: cost 55 inf + 66578 220.676 * * [simplify]: Extracting #10: cost 37 inf + 79468 220.706 * * [simplify]: Extracting #11: cost 5 inf + 117828 220.756 * * [simplify]: Extracting #12: cost 0 inf + 126433 220.789 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 220.790 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 220.790 * * * * [progress]: [ 507 / 5906 ] simplifiying candidate # 220.790 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 220.791 * * [simplify]: iters left: 6 (52 enodes) 220.805 * * [simplify]: iters left: 5 (253 enodes) 220.883 * * [simplify]: Extracting #0: cost 1 inf + 0 220.896 * * [simplify]: Extracting #1: cost 3 inf + 0 220.896 * * [simplify]: Extracting #2: cost 6 inf + 0 220.896 * * [simplify]: Extracting #3: cost 60 inf + 0 220.897 * * [simplify]: Extracting #4: cost 153 inf + 0 220.898 * * [simplify]: Extracting #5: cost 221 inf + 44 220.901 * * [simplify]: Extracting #6: cost 245 inf + 6752 220.907 * * [simplify]: Extracting #7: cost 203 inf + 14407 220.915 * * [simplify]: Extracting #8: cost 134 inf + 34198 220.925 * * [simplify]: Extracting #9: cost 67 inf + 61260 220.947 * * [simplify]: Extracting #10: cost 7 inf + 120115 220.993 * * [simplify]: Extracting #11: cost 1 inf + 127025 221.044 * * [simplify]: Extracting #12: cost 0 inf + 129130 221.069 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) 221.069 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 221.070 * * * * [progress]: [ 508 / 5906 ] simplifiying candidate # 221.070 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 221.070 * * [simplify]: iters left: 6 (52 enodes) 221.083 * * [simplify]: iters left: 5 (253 enodes) 221.165 * * [simplify]: Extracting #0: cost 1 inf + 0 221.165 * * [simplify]: Extracting #1: cost 3 inf + 0 221.165 * * [simplify]: Extracting #2: cost 6 inf + 0 221.166 * * [simplify]: Extracting #3: cost 62 inf + 0 221.166 * * [simplify]: Extracting #4: cost 151 inf + 0 221.166 * * [simplify]: Extracting #5: cost 217 inf + 44 221.168 * * [simplify]: Extracting #6: cost 247 inf + 5862 221.171 * * [simplify]: Extracting #7: cost 198 inf + 15210 221.177 * * [simplify]: Extracting #8: cost 133 inf + 33385 221.187 * * [simplify]: Extracting #9: cost 59 inf + 66932 221.206 * * [simplify]: Extracting #10: cost 11 inf + 113388 221.238 * * [simplify]: Extracting #11: cost 1 inf + 124617 221.271 * * [simplify]: Extracting #12: cost 0 inf + 126722 221.302 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 221.302 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 221.303 * * * * [progress]: [ 509 / 5906 ] simplifiying candidate # 221.303 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 221.304 * * [simplify]: iters left: 6 (46 enodes) 221.328 * * [simplify]: iters left: 5 (217 enodes) 221.409 * * [simplify]: Extracting #0: cost 1 inf + 0 221.409 * * [simplify]: Extracting #1: cost 3 inf + 0 221.409 * * [simplify]: Extracting #2: cost 6 inf + 0 221.409 * * [simplify]: Extracting #3: cost 54 inf + 0 221.410 * * [simplify]: Extracting #4: cost 119 inf + 0 221.410 * * [simplify]: Extracting #5: cost 165 inf + 44 221.411 * * [simplify]: Extracting #6: cost 226 inf + 1034 221.412 * * [simplify]: Extracting #7: cost 211 inf + 3521 221.415 * * [simplify]: Extracting #8: cost 154 inf + 16402 221.422 * * [simplify]: Extracting #9: cost 90 inf + 42420 221.436 * * [simplify]: Extracting #10: cost 48 inf + 56825 221.459 * * [simplify]: Extracting #11: cost 30 inf + 68751 221.494 * * [simplify]: Extracting #12: cost 8 inf + 92781 221.514 * * [simplify]: Extracting #13: cost 1 inf + 102356 221.549 * * [simplify]: Extracting #14: cost 0 inf + 104221 221.587 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2)))))))))) 221.587 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 221.588 * * * * [progress]: [ 510 / 5906 ] simplifiying candidate # 221.588 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 221.589 * * [simplify]: iters left: 6 (51 enodes) 221.610 * * [simplify]: iters left: 5 (245 enodes) 221.691 * * [simplify]: Extracting #0: cost 1 inf + 0 221.691 * * [simplify]: Extracting #1: cost 3 inf + 0 221.691 * * [simplify]: Extracting #2: cost 10 inf + 0 221.691 * * [simplify]: Extracting #3: cost 74 inf + 0 221.692 * * [simplify]: Extracting #4: cost 137 inf + 1 221.693 * * [simplify]: Extracting #5: cost 186 inf + 249 221.694 * * [simplify]: Extracting #6: cost 244 inf + 1970 221.700 * * [simplify]: Extracting #7: cost 180 inf + 17402 221.713 * * [simplify]: Extracting #8: cost 132 inf + 35227 221.733 * * [simplify]: Extracting #9: cost 97 inf + 48821 221.754 * * [simplify]: Extracting #10: cost 53 inf + 65707 221.782 * * [simplify]: Extracting #11: cost 9 inf + 104887 221.811 * * [simplify]: Extracting #12: cost 0 inf + 118352 221.837 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) 221.837 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 221.837 * * * * [progress]: [ 511 / 5906 ] simplifiying candidate # 221.838 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 221.838 * * [simplify]: iters left: 6 (46 enodes) 221.854 * * [simplify]: iters left: 5 (217 enodes) 221.927 * * [simplify]: Extracting #0: cost 1 inf + 0 221.927 * * [simplify]: Extracting #1: cost 3 inf + 0 221.927 * * [simplify]: Extracting #2: cost 10 inf + 0 221.927 * * [simplify]: Extracting #3: cost 66 inf + 0 221.928 * * [simplify]: Extracting #4: cost 117 inf + 44 221.928 * * [simplify]: Extracting #5: cost 152 inf + 822 221.929 * * [simplify]: Extracting #6: cost 214 inf + 2772 221.930 * * [simplify]: Extracting #7: cost 210 inf + 3797 221.933 * * [simplify]: Extracting #8: cost 151 inf + 19172 221.940 * * [simplify]: Extracting #9: cost 84 inf + 43551 221.950 * * [simplify]: Extracting #10: cost 42 inf + 58874 221.964 * * [simplify]: Extracting #11: cost 17 inf + 81246 221.982 * * [simplify]: Extracting #12: cost 0 inf + 98391 222.004 * * [simplify]: Extracting #13: cost 0 inf + 98151 222.024 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 222.024 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 222.025 * * * * [progress]: [ 512 / 5906 ] simplifiying candidate # 222.025 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 222.025 * * [simplify]: iters left: 6 (51 enodes) 222.044 * * [simplify]: iters left: 5 (245 enodes) 222.104 * * [simplify]: Extracting #0: cost 1 inf + 0 222.104 * * [simplify]: Extracting #1: cost 3 inf + 0 222.104 * * [simplify]: Extracting #2: cost 10 inf + 0 222.104 * * [simplify]: Extracting #3: cost 74 inf + 0 222.105 * * [simplify]: Extracting #4: cost 137 inf + 1 222.106 * * [simplify]: Extracting #5: cost 187 inf + 207 222.107 * * [simplify]: Extracting #6: cost 242 inf + 2333 222.113 * * [simplify]: Extracting #7: cost 177 inf + 17855 222.123 * * [simplify]: Extracting #8: cost 137 inf + 31755 222.138 * * [simplify]: Extracting #9: cost 97 inf + 49861 222.160 * * [simplify]: Extracting #10: cost 52 inf + 67132 222.196 * * [simplify]: Extracting #11: cost 9 inf + 106007 222.229 * * [simplify]: Extracting #12: cost 1 inf + 117487 222.254 * * [simplify]: Extracting #13: cost 0 inf + 119472 222.299 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) 222.299 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 222.300 * * * * [progress]: [ 513 / 5906 ] simplifiying candidate # 222.301 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 222.301 * * [simplify]: iters left: 6 (46 enodes) 222.323 * * [simplify]: iters left: 5 (217 enodes) 222.404 * * [simplify]: Extracting #0: cost 1 inf + 0 222.404 * * [simplify]: Extracting #1: cost 3 inf + 0 222.404 * * [simplify]: Extracting #2: cost 10 inf + 0 222.404 * * [simplify]: Extracting #3: cost 65 inf + 0 222.405 * * [simplify]: Extracting #4: cost 117 inf + 44 222.405 * * [simplify]: Extracting #5: cost 153 inf + 660 222.406 * * [simplify]: Extracting #6: cost 213 inf + 2814 222.407 * * [simplify]: Extracting #7: cost 208 inf + 4001 222.410 * * [simplify]: Extracting #8: cost 148 inf + 19938 222.418 * * [simplify]: Extracting #9: cost 85 inf + 43752 222.427 * * [simplify]: Extracting #10: cost 45 inf + 58172 222.441 * * [simplify]: Extracting #11: cost 17 inf + 81806 222.459 * * [simplify]: Extracting #12: cost 0 inf + 98951 222.484 * * [simplify]: Extracting #13: cost 0 inf + 98711 222.513 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 222.514 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 222.514 * * * * [progress]: [ 514 / 5906 ] simplifiying candidate # 222.514 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 222.515 * * [simplify]: iters left: 6 (48 enodes) 222.529 * * [simplify]: iters left: 5 (231 enodes) 222.597 * * [simplify]: Extracting #0: cost 1 inf + 0 222.597 * * [simplify]: Extracting #1: cost 3 inf + 0 222.597 * * [simplify]: Extracting #2: cost 6 inf + 0 222.597 * * [simplify]: Extracting #3: cost 54 inf + 0 222.597 * * [simplify]: Extracting #4: cost 120 inf + 0 222.598 * * [simplify]: Extracting #5: cost 187 inf + 0 222.598 * * [simplify]: Extracting #6: cost 252 inf + 3033 222.600 * * [simplify]: Extracting #7: cost 202 inf + 13481 222.604 * * [simplify]: Extracting #8: cost 145 inf + 24375 222.611 * * [simplify]: Extracting #9: cost 105 inf + 35013 222.620 * * [simplify]: Extracting #10: cost 51 inf + 57225 222.632 * * [simplify]: Extracting #11: cost 32 inf + 71698 222.657 * * [simplify]: Extracting #12: cost 2 inf + 104168 222.697 * * [simplify]: Extracting #13: cost 0 inf + 107698 222.739 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) 222.739 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 222.741 * * * * [progress]: [ 515 / 5906 ] simplifiying candidate # 222.741 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 222.742 * * [simplify]: iters left: 6 (49 enodes) 222.767 * * [simplify]: iters left: 5 (240 enodes) 222.867 * * [simplify]: Extracting #0: cost 1 inf + 0 222.867 * * [simplify]: Extracting #1: cost 3 inf + 0 222.867 * * [simplify]: Extracting #2: cost 6 inf + 0 222.868 * * [simplify]: Extracting #3: cost 58 inf + 0 222.868 * * [simplify]: Extracting #4: cost 143 inf + 0 222.869 * * [simplify]: Extracting #5: cost 200 inf + 85 222.871 * * [simplify]: Extracting #6: cost 235 inf + 4568 222.876 * * [simplify]: Extracting #7: cost 199 inf + 13971 222.887 * * [simplify]: Extracting #8: cost 113 inf + 37576 222.906 * * [simplify]: Extracting #9: cost 50 inf + 63147 222.926 * * [simplify]: Extracting #10: cost 9 inf + 100770 222.949 * * [simplify]: Extracting #11: cost 0 inf + 110555 222.993 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))))) (* (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))))) 222.993 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))))) (* (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 222.994 * * * * [progress]: [ 516 / 5906 ] simplifiying candidate # 222.995 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 222.996 * * [simplify]: iters left: 6 (49 enodes) 223.022 * * [simplify]: iters left: 5 (240 enodes) 223.097 * * [simplify]: Extracting #0: cost 1 inf + 0 223.097 * * [simplify]: Extracting #1: cost 3 inf + 0 223.097 * * [simplify]: Extracting #2: cost 6 inf + 0 223.097 * * [simplify]: Extracting #3: cost 60 inf + 0 223.098 * * [simplify]: Extracting #4: cost 141 inf + 0 223.099 * * [simplify]: Extracting #5: cost 195 inf + 166 223.102 * * [simplify]: Extracting #6: cost 227 inf + 6093 223.111 * * [simplify]: Extracting #7: cost 196 inf + 14952 223.120 * * [simplify]: Extracting #8: cost 134 inf + 30777 223.135 * * [simplify]: Extracting #9: cost 86 inf + 48673 223.155 * * [simplify]: Extracting #10: cost 49 inf + 61882 223.168 * * [simplify]: Extracting #11: cost 34 inf + 70857 223.185 * * [simplify]: Extracting #12: cost 6 inf + 100117 223.208 * * [simplify]: Extracting #13: cost 0 inf + 107987 223.234 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))))) 223.234 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 223.235 * * * * [progress]: [ 517 / 5906 ] simplifiying candidate # 223.235 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 223.236 * * [simplify]: iters left: 6 (43 enodes) 223.247 * * [simplify]: iters left: 5 (204 enodes) 223.295 * * [simplify]: Extracting #0: cost 1 inf + 0 223.295 * * [simplify]: Extracting #1: cost 3 inf + 0 223.295 * * [simplify]: Extracting #2: cost 6 inf + 0 223.295 * * [simplify]: Extracting #3: cost 52 inf + 0 223.296 * * [simplify]: Extracting #4: cost 109 inf + 0 223.296 * * [simplify]: Extracting #5: cost 144 inf + 126 223.298 * * [simplify]: Extracting #6: cost 198 inf + 1964 223.301 * * [simplify]: Extracting #7: cost 187 inf + 5057 223.306 * * [simplify]: Extracting #8: cost 136 inf + 14484 223.316 * * [simplify]: Extracting #9: cost 90 inf + 33255 223.335 * * [simplify]: Extracting #10: cost 44 inf + 48706 223.354 * * [simplify]: Extracting #11: cost 29 inf + 57001 223.379 * * [simplify]: Extracting #12: cost 4 inf + 80786 223.411 * * [simplify]: Extracting #13: cost 0 inf + 85926 223.432 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))))))) 223.432 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 223.433 * * * * [progress]: [ 518 / 5906 ] simplifiying candidate # 223.433 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 223.434 * * [simplify]: iters left: 6 (48 enodes) 223.446 * * [simplify]: iters left: 5 (232 enodes) 223.524 * * [simplify]: Extracting #0: cost 1 inf + 0 223.524 * * [simplify]: Extracting #1: cost 3 inf + 0 223.524 * * [simplify]: Extracting #2: cost 10 inf + 0 223.525 * * [simplify]: Extracting #3: cost 72 inf + 0 223.525 * * [simplify]: Extracting #4: cost 126 inf + 42 223.526 * * [simplify]: Extracting #5: cost 167 inf + 207 223.528 * * [simplify]: Extracting #6: cost 221 inf + 2450 223.531 * * [simplify]: Extracting #7: cost 201 inf + 9374 223.537 * * [simplify]: Extracting #8: cost 151 inf + 19333 223.547 * * [simplify]: Extracting #9: cost 106 inf + 33056 223.564 * * [simplify]: Extracting #10: cost 52 inf + 53997 223.586 * * [simplify]: Extracting #11: cost 30 inf + 68027 223.620 * * [simplify]: Extracting #12: cost 4 inf + 94557 223.651 * * [simplify]: Extracting #13: cost 0 inf + 100817 223.677 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) 223.677 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 223.678 * * * * [progress]: [ 519 / 5906 ] simplifiying candidate # 223.679 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 223.679 * * [simplify]: iters left: 6 (43 enodes) 223.703 * * [simplify]: iters left: 5 (204 enodes) 223.782 * * [simplify]: Extracting #0: cost 1 inf + 0 223.782 * * [simplify]: Extracting #1: cost 3 inf + 0 223.782 * * [simplify]: Extracting #2: cost 10 inf + 0 223.783 * * [simplify]: Extracting #3: cost 64 inf + 0 223.783 * * [simplify]: Extracting #4: cost 107 inf + 44 223.784 * * [simplify]: Extracting #5: cost 130 inf + 1187 223.786 * * [simplify]: Extracting #6: cost 191 inf + 2772 223.789 * * [simplify]: Extracting #7: cost 185 inf + 5860 223.797 * * [simplify]: Extracting #8: cost 101 inf + 28089 223.809 * * [simplify]: Extracting #9: cost 45 inf + 48397 223.819 * * [simplify]: Extracting #10: cost 24 inf + 59282 223.840 * * [simplify]: Extracting #11: cost 2 inf + 78886 223.870 * * [simplify]: Extracting #12: cost 0 inf + 81976 223.891 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) 223.891 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 223.892 * * * * [progress]: [ 520 / 5906 ] simplifiying candidate # 223.892 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 223.892 * * [simplify]: iters left: 6 (48 enodes) 223.905 * * [simplify]: iters left: 5 (232 enodes) 223.993 * * [simplify]: Extracting #0: cost 1 inf + 0 223.993 * * [simplify]: Extracting #1: cost 3 inf + 0 223.993 * * [simplify]: Extracting #2: cost 10 inf + 0 223.994 * * [simplify]: Extracting #3: cost 72 inf + 0 223.994 * * [simplify]: Extracting #4: cost 126 inf + 42 223.995 * * [simplify]: Extracting #5: cost 166 inf + 249 223.997 * * [simplify]: Extracting #6: cost 222 inf + 2570 224.000 * * [simplify]: Extracting #7: cost 203 inf + 8557 224.011 * * [simplify]: Extracting #8: cost 143 inf + 21966 224.025 * * [simplify]: Extracting #9: cost 63 inf + 47955 224.042 * * [simplify]: Extracting #10: cost 30 inf + 69307 224.059 * * [simplify]: Extracting #11: cost 4 inf + 95837 224.086 * * [simplify]: Extracting #12: cost 0 inf + 102097 224.125 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) 224.125 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 224.126 * * * * [progress]: [ 521 / 5906 ] simplifiying candidate # 224.126 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 224.127 * * [simplify]: iters left: 6 (43 enodes) 224.143 * * [simplify]: iters left: 5 (204 enodes) 224.212 * * [simplify]: Extracting #0: cost 1 inf + 0 224.212 * * [simplify]: Extracting #1: cost 3 inf + 0 224.212 * * [simplify]: Extracting #2: cost 10 inf + 0 224.213 * * [simplify]: Extracting #3: cost 63 inf + 0 224.213 * * [simplify]: Extracting #4: cost 107 inf + 44 224.214 * * [simplify]: Extracting #5: cost 132 inf + 862 224.215 * * [simplify]: Extracting #6: cost 190 inf + 2934 224.216 * * [simplify]: Extracting #7: cost 189 inf + 5091 224.219 * * [simplify]: Extracting #8: cost 140 inf + 13595 224.224 * * [simplify]: Extracting #9: cost 88 inf + 31589 224.232 * * [simplify]: Extracting #10: cost 39 inf + 50187 224.242 * * [simplify]: Extracting #11: cost 24 inf + 58296 224.259 * * [simplify]: Extracting #12: cost 2 inf + 79286 224.281 * * [simplify]: Extracting #13: cost 0 inf + 82376 224.305 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))))))) 224.305 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 224.306 * * * * [progress]: [ 522 / 5906 ] simplifiying candidate # 224.307 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 224.307 * * [simplify]: iters left: 6 (47 enodes) 224.330 * * [simplify]: iters left: 5 (233 enodes) 224.428 * * [simplify]: Extracting #0: cost 1 inf + 0 224.428 * * [simplify]: Extracting #1: cost 3 inf + 0 224.428 * * [simplify]: Extracting #2: cost 6 inf + 0 224.428 * * [simplify]: Extracting #3: cost 54 inf + 0 224.428 * * [simplify]: Extracting #4: cost 120 inf + 0 224.429 * * [simplify]: Extracting #5: cost 191 inf + 0 224.430 * * [simplify]: Extracting #6: cost 273 inf + 845 224.433 * * [simplify]: Extracting #7: cost 243 inf + 9724 224.440 * * [simplify]: Extracting #8: cost 159 inf + 26059 224.455 * * [simplify]: Extracting #9: cost 80 inf + 54232 224.479 * * [simplify]: Extracting #10: cost 34 inf + 75840 224.512 * * [simplify]: Extracting #11: cost 6 inf + 101060 224.552 * * [simplify]: Extracting #12: cost 0 inf + 109410 224.575 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))))) 224.575 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 224.576 * * * * [progress]: [ 523 / 5906 ] simplifiying candidate # 224.576 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 224.576 * * [simplify]: iters left: 6 (48 enodes) 224.589 * * [simplify]: iters left: 5 (242 enodes) 224.683 * * [simplify]: Extracting #0: cost 1 inf + 0 224.683 * * [simplify]: Extracting #1: cost 3 inf + 0 224.683 * * [simplify]: Extracting #2: cost 6 inf + 0 224.683 * * [simplify]: Extracting #3: cost 58 inf + 0 224.684 * * [simplify]: Extracting #4: cost 143 inf + 0 224.685 * * [simplify]: Extracting #5: cost 203 inf + 127 224.687 * * [simplify]: Extracting #6: cost 261 inf + 4758 224.692 * * [simplify]: Extracting #7: cost 222 inf + 16603 224.699 * * [simplify]: Extracting #8: cost 152 inf + 25871 224.719 * * [simplify]: Extracting #9: cost 95 inf + 45467 224.735 * * [simplify]: Extracting #10: cost 34 inf + 78942 224.756 * * [simplify]: Extracting #11: cost 3 inf + 108872 224.781 * * [simplify]: Extracting #12: cost 0 inf + 112667 224.805 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))) 224.805 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 224.806 * * * * [progress]: [ 524 / 5906 ] simplifiying candidate # 224.806 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 224.807 * * [simplify]: iters left: 6 (48 enodes) 224.819 * * [simplify]: iters left: 5 (242 enodes) 224.897 * * [simplify]: Extracting #0: cost 1 inf + 0 224.897 * * [simplify]: Extracting #1: cost 3 inf + 0 224.897 * * [simplify]: Extracting #2: cost 6 inf + 0 224.898 * * [simplify]: Extracting #3: cost 60 inf + 0 224.898 * * [simplify]: Extracting #4: cost 141 inf + 0 224.899 * * [simplify]: Extracting #5: cost 198 inf + 169 224.901 * * [simplify]: Extracting #6: cost 262 inf + 2666 224.906 * * [simplify]: Extracting #7: cost 223 inf + 14701 224.916 * * [simplify]: Extracting #8: cost 122 inf + 36954 224.946 * * [simplify]: Extracting #9: cost 31 inf + 86449 224.988 * * [simplify]: Extracting #10: cost 5 inf + 108080 225.037 * * [simplify]: Extracting #11: cost 0 inf + 113539 225.064 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))))) 225.064 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 225.065 * * * * [progress]: [ 525 / 5906 ] simplifiying candidate # 225.065 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 225.066 * * [simplify]: iters left: 6 (42 enodes) 225.076 * * [simplify]: iters left: 5 (206 enodes) 225.135 * * [simplify]: Extracting #0: cost 1 inf + 0 225.135 * * [simplify]: Extracting #1: cost 3 inf + 0 225.135 * * [simplify]: Extracting #2: cost 6 inf + 0 225.135 * * [simplify]: Extracting #3: cost 52 inf + 0 225.136 * * [simplify]: Extracting #4: cost 109 inf + 0 225.136 * * [simplify]: Extracting #5: cost 149 inf + 44 225.138 * * [simplify]: Extracting #6: cost 220 inf + 1030 225.141 * * [simplify]: Extracting #7: cost 215 inf + 3226 225.145 * * [simplify]: Extracting #8: cost 162 inf + 11009 225.156 * * [simplify]: Extracting #9: cost 97 inf + 32155 225.178 * * [simplify]: Extracting #10: cost 31 inf + 64169 225.211 * * [simplify]: Extracting #11: cost 4 inf + 84498 225.246 * * [simplify]: Extracting #12: cost 0 inf + 88598 225.281 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))))))) 225.281 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 225.282 * * * * [progress]: [ 526 / 5906 ] simplifiying candidate # 225.282 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 225.282 * * [simplify]: iters left: 6 (47 enodes) 225.297 * * [simplify]: iters left: 5 (234 enodes) 225.372 * * [simplify]: Extracting #0: cost 1 inf + 0 225.372 * * [simplify]: Extracting #1: cost 3 inf + 0 225.373 * * [simplify]: Extracting #2: cost 10 inf + 0 225.373 * * [simplify]: Extracting #3: cost 72 inf + 0 225.373 * * [simplify]: Extracting #4: cost 126 inf + 42 225.374 * * [simplify]: Extracting #5: cost 169 inf + 290 225.376 * * [simplify]: Extracting #6: cost 238 inf + 2567 225.379 * * [simplify]: Extracting #7: cost 222 inf + 8758 225.386 * * [simplify]: Extracting #8: cost 145 inf + 23334 225.400 * * [simplify]: Extracting #9: cost 90 inf + 44281 225.425 * * [simplify]: Extracting #10: cost 35 inf + 71654 225.454 * * [simplify]: Extracting #11: cost 6 inf + 95579 225.494 * * [simplify]: Extracting #12: cost 0 inf + 104169 225.516 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 225.516 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 225.517 * * * * [progress]: [ 527 / 5906 ] simplifiying candidate # 225.517 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 225.518 * * [simplify]: iters left: 6 (42 enodes) 225.536 * * [simplify]: iters left: 5 (206 enodes) 225.603 * * [simplify]: Extracting #0: cost 1 inf + 0 225.603 * * [simplify]: Extracting #1: cost 3 inf + 0 225.603 * * [simplify]: Extracting #2: cost 10 inf + 0 225.603 * * [simplify]: Extracting #3: cost 64 inf + 0 225.603 * * [simplify]: Extracting #4: cost 105 inf + 208 225.604 * * [simplify]: Extracting #5: cost 128 inf + 1958 225.605 * * [simplify]: Extracting #6: cost 205 inf + 2932 225.606 * * [simplify]: Extracting #7: cost 212 inf + 3508 225.609 * * [simplify]: Extracting #8: cost 153 inf + 15314 225.616 * * [simplify]: Extracting #9: cost 73 inf + 42719 225.632 * * [simplify]: Extracting #10: cost 32 inf + 63949 225.655 * * [simplify]: Extracting #11: cost 6 inf + 81866 225.676 * * [simplify]: Extracting #12: cost 0 inf + 87168 225.704 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- phi1 phi2))) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))) 225.704 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- phi1 phi2))) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 225.705 * * * * [progress]: [ 528 / 5906 ] simplifiying candidate # 225.706 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 225.706 * * [simplify]: iters left: 6 (47 enodes) 225.730 * * [simplify]: iters left: 5 (234 enodes) 225.826 * * [simplify]: Extracting #0: cost 1 inf + 0 225.826 * * [simplify]: Extracting #1: cost 3 inf + 0 225.826 * * [simplify]: Extracting #2: cost 10 inf + 0 225.827 * * [simplify]: Extracting #3: cost 72 inf + 0 225.827 * * [simplify]: Extracting #4: cost 126 inf + 42 225.828 * * [simplify]: Extracting #5: cost 167 inf + 494 225.830 * * [simplify]: Extracting #6: cost 234 inf + 3334 225.833 * * [simplify]: Extracting #7: cost 222 inf + 8718 225.840 * * [simplify]: Extracting #8: cost 142 inf + 24120 225.847 * * [simplify]: Extracting #9: cost 90 inf + 45001 225.860 * * [simplify]: Extracting #10: cost 36 inf + 72109 225.901 * * [simplify]: Extracting #11: cost 6 inf + 96539 225.923 * * [simplify]: Extracting #12: cost 0 inf + 105129 225.947 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 225.947 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 225.948 * * * * [progress]: [ 529 / 5906 ] simplifiying candidate # 225.948 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 225.948 * * [simplify]: iters left: 6 (42 enodes) 225.959 * * [simplify]: iters left: 5 (206 enodes) 226.000 * * [simplify]: Extracting #0: cost 1 inf + 0 226.000 * * [simplify]: Extracting #1: cost 3 inf + 0 226.000 * * [simplify]: Extracting #2: cost 10 inf + 0 226.000 * * [simplify]: Extracting #3: cost 63 inf + 0 226.000 * * [simplify]: Extracting #4: cost 106 inf + 86 226.001 * * [simplify]: Extracting #5: cost 130 inf + 1594 226.003 * * [simplify]: Extracting #6: cost 205 inf + 2932 226.006 * * [simplify]: Extracting #7: cost 211 inf + 3589 226.011 * * [simplify]: Extracting #8: cost 152 inf + 15739 226.028 * * [simplify]: Extracting #9: cost 74 inf + 42134 226.045 * * [simplify]: Extracting #10: cost 33 inf + 63465 226.063 * * [simplify]: Extracting #11: cost 8 inf + 81138 226.084 * * [simplify]: Extracting #12: cost 0 inf + 87568 226.108 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))) 226.108 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 226.109 * * * * [progress]: [ 530 / 5906 ] simplifiying candidate # 226.109 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 226.110 * * [simplify]: iters left: 6 (47 enodes) 226.122 * * [simplify]: iters left: 5 (229 enodes) 226.182 * * [simplify]: Extracting #0: cost 1 inf + 0 226.182 * * [simplify]: Extracting #1: cost 3 inf + 0 226.182 * * [simplify]: Extracting #2: cost 6 inf + 0 226.183 * * [simplify]: Extracting #3: cost 48 inf + 0 226.183 * * [simplify]: Extracting #4: cost 112 inf + 0 226.184 * * [simplify]: Extracting #5: cost 183 inf + 0 226.185 * * [simplify]: Extracting #6: cost 268 inf + 169 226.187 * * [simplify]: Extracting #7: cost 258 inf + 4126 226.193 * * [simplify]: Extracting #8: cost 168 inf + 20651 226.202 * * [simplify]: Extracting #9: cost 101 inf + 38828 226.214 * * [simplify]: Extracting #10: cost 40 inf + 69016 226.239 * * [simplify]: Extracting #11: cost 9 inf + 97911 226.276 * * [simplify]: Extracting #12: cost 0 inf + 109376 226.315 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) 226.315 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 226.316 * * * * [progress]: [ 531 / 5906 ] simplifiying candidate # 226.317 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 226.317 * * [simplify]: iters left: 6 (48 enodes) 226.339 * * [simplify]: iters left: 5 (238 enodes) 226.404 * * [simplify]: Extracting #0: cost 1 inf + 0 226.404 * * [simplify]: Extracting #1: cost 3 inf + 0 226.404 * * [simplify]: Extracting #2: cost 6 inf + 0 226.405 * * [simplify]: Extracting #3: cost 52 inf + 0 226.405 * * [simplify]: Extracting #4: cost 135 inf + 0 226.406 * * [simplify]: Extracting #5: cost 193 inf + 370 226.408 * * [simplify]: Extracting #6: cost 240 inf + 5730 226.413 * * [simplify]: Extracting #7: cost 219 inf + 13463 226.418 * * [simplify]: Extracting #8: cost 114 inf + 37784 226.429 * * [simplify]: Extracting #9: cost 41 inf + 69065 226.450 * * [simplify]: Extracting #10: cost 7 inf + 100161 226.489 * * [simplify]: Extracting #11: cost 0 inf + 107193 226.513 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 226.513 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 226.514 * * * * [progress]: [ 532 / 5906 ] simplifiying candidate # 226.514 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 226.515 * * [simplify]: iters left: 6 (48 enodes) 226.533 * * [simplify]: iters left: 5 (238 enodes) 226.639 * * [simplify]: Extracting #0: cost 1 inf + 0 226.639 * * [simplify]: Extracting #1: cost 3 inf + 0 226.639 * * [simplify]: Extracting #2: cost 6 inf + 0 226.639 * * [simplify]: Extracting #3: cost 54 inf + 0 226.640 * * [simplify]: Extracting #4: cost 133 inf + 0 226.641 * * [simplify]: Extracting #5: cost 189 inf + 210 226.644 * * [simplify]: Extracting #6: cost 246 inf + 3671 226.651 * * [simplify]: Extracting #7: cost 222 inf + 12098 226.661 * * [simplify]: Extracting #8: cost 142 inf + 28531 226.681 * * [simplify]: Extracting #9: cost 56 inf + 61270 226.716 * * [simplify]: Extracting #10: cost 11 inf + 97274 226.758 * * [simplify]: Extracting #11: cost 0 inf + 106785 226.804 * * [simplify]: Extracting #12: cost 0 inf + 106425 226.846 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))) 226.847 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 226.848 * * * * [progress]: [ 533 / 5906 ] simplifiying candidate # 226.848 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 226.849 * * [simplify]: iters left: 6 (42 enodes) 226.870 * * [simplify]: iters left: 5 (203 enodes) 226.921 * * [simplify]: Extracting #0: cost 1 inf + 0 226.921 * * [simplify]: Extracting #1: cost 3 inf + 0 226.921 * * [simplify]: Extracting #2: cost 6 inf + 0 226.921 * * [simplify]: Extracting #3: cost 46 inf + 0 226.922 * * [simplify]: Extracting #4: cost 101 inf + 0 226.922 * * [simplify]: Extracting #5: cost 140 inf + 85 226.923 * * [simplify]: Extracting #6: cost 210 inf + 1071 226.924 * * [simplify]: Extracting #7: cost 206 inf + 3469 226.927 * * [simplify]: Extracting #8: cost 130 inf + 18577 226.934 * * [simplify]: Extracting #9: cost 66 inf + 39694 226.953 * * [simplify]: Extracting #10: cost 11 inf + 75912 226.979 * * [simplify]: Extracting #11: cost 1 inf + 84619 227.000 * * [simplify]: Extracting #12: cost 0 inf + 86204 227.029 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))))))) 227.029 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 227.030 * * * * [progress]: [ 534 / 5906 ] simplifiying candidate # 227.030 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 227.030 * * [simplify]: iters left: 6 (47 enodes) 227.046 * * [simplify]: iters left: 5 (231 enodes) 227.125 * * [simplify]: Extracting #0: cost 1 inf + 0 227.125 * * [simplify]: Extracting #1: cost 3 inf + 0 227.125 * * [simplify]: Extracting #2: cost 10 inf + 0 227.125 * * [simplify]: Extracting #3: cost 62 inf + 0 227.125 * * [simplify]: Extracting #4: cost 115 inf + 42 227.126 * * [simplify]: Extracting #5: cost 158 inf + 290 227.127 * * [simplify]: Extracting #6: cost 228 inf + 2603 227.128 * * [simplify]: Extracting #7: cost 219 inf + 6750 227.132 * * [simplify]: Extracting #8: cost 126 inf + 26560 227.142 * * [simplify]: Extracting #9: cost 55 inf + 55048 227.161 * * [simplify]: Extracting #10: cost 8 inf + 90100 227.197 * * [simplify]: Extracting #11: cost 0 inf + 99980 227.218 * * [simplify]: Extracting #12: cost 0 inf + 98580 227.253 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 227.253 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 227.253 * * * * [progress]: [ 535 / 5906 ] simplifiying candidate # 227.254 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 227.254 * * [simplify]: iters left: 6 (42 enodes) 227.265 * * [simplify]: iters left: 5 (204 enodes) 227.321 * * [simplify]: Extracting #0: cost 1 inf + 0 227.321 * * [simplify]: Extracting #1: cost 3 inf + 0 227.321 * * [simplify]: Extracting #2: cost 10 inf + 0 227.322 * * [simplify]: Extracting #3: cost 54 inf + 0 227.322 * * [simplify]: Extracting #4: cost 96 inf + 44 227.323 * * [simplify]: Extracting #5: cost 119 inf + 1714 227.325 * * [simplify]: Extracting #6: cost 194 inf + 2932 227.327 * * [simplify]: Extracting #7: cost 202 inf + 3386 227.330 * * [simplify]: Extracting #8: cost 165 inf + 8258 227.337 * * [simplify]: Extracting #9: cost 105 inf + 21952 227.353 * * [simplify]: Extracting #10: cost 44 inf + 47290 227.377 * * [simplify]: Extracting #11: cost 8 inf + 72739 227.403 * * [simplify]: Extracting #12: cost 2 inf + 78729 227.420 * * [simplify]: Extracting #13: cost 1 inf + 80274 227.437 * * [simplify]: Extracting #14: cost 0 inf + 81819 227.468 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) 227.468 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 227.470 * * * * [progress]: [ 536 / 5906 ] simplifiying candidate # 227.470 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 227.471 * * [simplify]: iters left: 6 (47 enodes) 227.495 * * [simplify]: iters left: 5 (231 enodes) 227.563 * * [simplify]: Extracting #0: cost 1 inf + 0 227.563 * * [simplify]: Extracting #1: cost 3 inf + 0 227.563 * * [simplify]: Extracting #2: cost 10 inf + 0 227.563 * * [simplify]: Extracting #3: cost 62 inf + 0 227.563 * * [simplify]: Extracting #4: cost 115 inf + 42 227.564 * * [simplify]: Extracting #5: cost 157 inf + 332 227.567 * * [simplify]: Extracting #6: cost 220 inf + 3939 227.570 * * [simplify]: Extracting #7: cost 217 inf + 7465 227.577 * * [simplify]: Extracting #8: cost 124 inf + 27256 227.595 * * [simplify]: Extracting #9: cost 56 inf + 54244 227.627 * * [simplify]: Extracting #10: cost 8 inf + 90860 227.667 * * [simplify]: Extracting #11: cost 0 inf + 100860 227.701 * * [simplify]: Extracting #12: cost 0 inf + 99380 227.730 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 227.730 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 227.730 * * * * [progress]: [ 537 / 5906 ] simplifiying candidate # 227.731 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 227.731 * * [simplify]: iters left: 6 (42 enodes) 227.746 * * [simplify]: iters left: 5 (204 enodes) 227.798 * * [simplify]: Extracting #0: cost 1 inf + 0 227.798 * * [simplify]: Extracting #1: cost 3 inf + 0 227.798 * * [simplify]: Extracting #2: cost 10 inf + 0 227.798 * * [simplify]: Extracting #3: cost 53 inf + 0 227.798 * * [simplify]: Extracting #4: cost 96 inf + 44 227.799 * * [simplify]: Extracting #5: cost 125 inf + 942 227.800 * * [simplify]: Extracting #6: cost 194 inf + 2932 227.801 * * [simplify]: Extracting #7: cost 200 inf + 3588 227.803 * * [simplify]: Extracting #8: cost 162 inf + 8982 227.807 * * [simplify]: Extracting #9: cost 105 inf + 21992 227.815 * * [simplify]: Extracting #10: cost 45 inf + 47007 227.838 * * [simplify]: Extracting #11: cost 8 inf + 73139 227.870 * * [simplify]: Extracting #12: cost 1 inf + 80674 227.898 * * [simplify]: Extracting #13: cost 0 inf + 82219 227.915 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) 227.916 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 227.916 * * * * [progress]: [ 538 / 5906 ] simplifiying candidate # 227.916 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 227.917 * * [simplify]: iters left: 6 (51 enodes) 227.934 * * [simplify]: iters left: 5 (250 enodes) 228.005 * * [simplify]: Extracting #0: cost 1 inf + 0 228.005 * * [simplify]: Extracting #1: cost 3 inf + 0 228.005 * * [simplify]: Extracting #2: cost 6 inf + 0 228.005 * * [simplify]: Extracting #3: cost 50 inf + 0 228.005 * * [simplify]: Extracting #4: cost 116 inf + 0 228.006 * * [simplify]: Extracting #5: cost 185 inf + 0 228.006 * * [simplify]: Extracting #6: cost 280 inf + 722 228.008 * * [simplify]: Extracting #7: cost 241 inf + 9207 228.014 * * [simplify]: Extracting #8: cost 149 inf + 25654 228.020 * * [simplify]: Extracting #9: cost 105 inf + 38329 228.040 * * [simplify]: Extracting #10: cost 55 inf + 61859 228.066 * * [simplify]: Extracting #11: cost 36 inf + 74762 228.103 * * [simplify]: Extracting #12: cost 6 inf + 102072 228.126 * * [simplify]: Extracting #13: cost 1 inf + 108517 228.164 * * [simplify]: Extracting #14: cost 0 inf + 110262 228.187 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) 228.187 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 228.188 * * * * [progress]: [ 539 / 5906 ] simplifiying candidate # 228.188 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 228.188 * * [simplify]: iters left: 6 (52 enodes) 228.206 * * [simplify]: iters left: 5 (259 enodes) 228.312 * * [simplify]: Extracting #0: cost 1 inf + 0 228.313 * * [simplify]: Extracting #1: cost 3 inf + 0 228.313 * * [simplify]: Extracting #2: cost 6 inf + 0 228.313 * * [simplify]: Extracting #3: cost 53 inf + 0 228.313 * * [simplify]: Extracting #4: cost 138 inf + 0 228.314 * * [simplify]: Extracting #5: cost 197 inf + 85 228.317 * * [simplify]: Extracting #6: cost 258 inf + 4197 228.323 * * [simplify]: Extracting #7: cost 231 inf + 11820 228.333 * * [simplify]: Extracting #8: cost 134 inf + 34349 228.342 * * [simplify]: Extracting #9: cost 66 inf + 57071 228.357 * * [simplify]: Extracting #10: cost 31 inf + 83382 228.393 * * [simplify]: Extracting #11: cost 3 inf + 107459 228.421 * * [simplify]: Extracting #12: cost 0 inf + 112414 228.459 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 228.459 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 228.460 * * * * [progress]: [ 540 / 5906 ] simplifiying candidate # 228.461 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 228.461 * * [simplify]: iters left: 6 (52 enodes) 228.474 * * [simplify]: iters left: 5 (259 enodes) 228.551 * * [simplify]: Extracting #0: cost 1 inf + 0 228.551 * * [simplify]: Extracting #1: cost 3 inf + 0 228.551 * * [simplify]: Extracting #2: cost 6 inf + 0 228.552 * * [simplify]: Extracting #3: cost 55 inf + 0 228.552 * * [simplify]: Extracting #4: cost 136 inf + 0 228.552 * * [simplify]: Extracting #5: cost 193 inf + 85 228.553 * * [simplify]: Extracting #6: cost 260 inf + 3186 228.556 * * [simplify]: Extracting #7: cost 237 inf + 11161 228.559 * * [simplify]: Extracting #8: cost 171 inf + 22212 228.571 * * [simplify]: Extracting #9: cost 111 inf + 36812 228.589 * * [simplify]: Extracting #10: cost 68 inf + 54260 228.606 * * [simplify]: Extracting #11: cost 35 inf + 77042 228.629 * * [simplify]: Extracting #12: cost 1 inf + 108581 228.661 * * [simplify]: Extracting #13: cost 0 inf + 110366 228.703 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) 228.703 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 228.704 * * * * [progress]: [ 541 / 5906 ] simplifiying candidate # 228.705 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 228.705 * * [simplify]: iters left: 6 (46 enodes) 228.729 * * [simplify]: iters left: 5 (225 enodes) 228.802 * * [simplify]: Extracting #0: cost 1 inf + 0 228.803 * * [simplify]: Extracting #1: cost 3 inf + 0 228.803 * * [simplify]: Extracting #2: cost 6 inf + 0 228.803 * * [simplify]: Extracting #3: cost 47 inf + 0 228.803 * * [simplify]: Extracting #4: cost 104 inf + 0 228.803 * * [simplify]: Extracting #5: cost 142 inf + 126 228.804 * * [simplify]: Extracting #6: cost 224 inf + 990 228.805 * * [simplify]: Extracting #7: cost 226 inf + 2334 228.807 * * [simplify]: Extracting #8: cost 167 inf + 10810 228.813 * * [simplify]: Extracting #9: cost 109 inf + 26927 228.827 * * [simplify]: Extracting #10: cost 44 inf + 56174 228.843 * * [simplify]: Extracting #11: cost 6 inf + 86744 228.875 * * [simplify]: Extracting #12: cost 0 inf + 90368 228.901 * * [simplify]: Extracting #13: cost 0 inf + 89808 228.930 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 228.930 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 228.931 * * * * [progress]: [ 542 / 5906 ] simplifiying candidate # 228.931 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 228.931 * * [simplify]: iters left: 6 (51 enodes) 228.944 * * [simplify]: iters left: 5 (252 enodes) 229.036 * * [simplify]: Extracting #0: cost 1 inf + 0 229.036 * * [simplify]: Extracting #1: cost 3 inf + 0 229.037 * * [simplify]: Extracting #2: cost 10 inf + 0 229.037 * * [simplify]: Extracting #3: cost 63 inf + 0 229.037 * * [simplify]: Extracting #4: cost 118 inf + 42 229.038 * * [simplify]: Extracting #5: cost 161 inf + 249 229.040 * * [simplify]: Extracting #6: cost 241 inf + 2083 229.043 * * [simplify]: Extracting #7: cost 230 inf + 8808 229.051 * * [simplify]: Extracting #8: cost 128 inf + 29538 229.070 * * [simplify]: Extracting #9: cost 58 inf + 55116 229.095 * * [simplify]: Extracting #10: cost 29 inf + 73779 229.133 * * [simplify]: Extracting #11: cost 2 inf + 100134 229.174 * * [simplify]: Extracting #12: cost 1 inf + 101879 229.196 * * [simplify]: Extracting #13: cost 0 inf + 103624 229.219 * [simplify]: Simplified to (sqrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) 229.219 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 229.220 * * * * [progress]: [ 543 / 5906 ] simplifiying candidate # 229.221 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 229.221 * * [simplify]: iters left: 6 (46 enodes) 229.245 * * [simplify]: iters left: 5 (224 enodes) 229.307 * * [simplify]: Extracting #0: cost 1 inf + 0 229.307 * * [simplify]: Extracting #1: cost 3 inf + 0 229.307 * * [simplify]: Extracting #2: cost 10 inf + 0 229.307 * * [simplify]: Extracting #3: cost 59 inf + 0 229.308 * * [simplify]: Extracting #4: cost 104 inf + 44 229.308 * * [simplify]: Extracting #5: cost 131 inf + 862 229.310 * * [simplify]: Extracting #6: cost 212 inf + 2770 229.312 * * [simplify]: Extracting #7: cost 217 inf + 3709 229.318 * * [simplify]: Extracting #8: cost 136 inf + 20095 229.334 * * [simplify]: Extracting #9: cost 59 inf + 47287 229.358 * * [simplify]: Extracting #10: cost 24 inf + 68343 229.388 * * [simplify]: Extracting #11: cost 2 inf + 84812 229.412 * * [simplify]: Extracting #12: cost 0 inf + 87742 229.437 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 229.437 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 229.437 * * * * [progress]: [ 544 / 5906 ] simplifiying candidate # 229.438 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 229.438 * * [simplify]: iters left: 6 (51 enodes) 229.452 * * [simplify]: iters left: 5 (252 enodes) 229.540 * * [simplify]: Extracting #0: cost 1 inf + 0 229.540 * * [simplify]: Extracting #1: cost 3 inf + 0 229.540 * * [simplify]: Extracting #2: cost 10 inf + 0 229.540 * * [simplify]: Extracting #3: cost 63 inf + 0 229.541 * * [simplify]: Extracting #4: cost 118 inf + 42 229.541 * * [simplify]: Extracting #5: cost 161 inf + 248 229.542 * * [simplify]: Extracting #6: cost 245 inf + 1557 229.544 * * [simplify]: Extracting #7: cost 232 inf + 8404 229.548 * * [simplify]: Extracting #8: cost 128 inf + 29641 229.557 * * [simplify]: Extracting #9: cost 58 inf + 54796 229.575 * * [simplify]: Extracting #10: cost 29 inf + 74179 229.605 * * [simplify]: Extracting #11: cost 2 inf + 100534 229.627 * * [simplify]: Extracting #12: cost 1 inf + 102279 229.671 * * [simplify]: Extracting #13: cost 0 inf + 104024 229.698 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) 229.698 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 229.698 * * * * [progress]: [ 545 / 5906 ] simplifiying candidate # 229.699 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 229.699 * * [simplify]: iters left: 6 (46 enodes) 229.711 * * [simplify]: iters left: 5 (224 enodes) 229.774 * * [simplify]: Extracting #0: cost 1 inf + 0 229.774 * * [simplify]: Extracting #1: cost 3 inf + 0 229.774 * * [simplify]: Extracting #2: cost 10 inf + 0 229.775 * * [simplify]: Extracting #3: cost 58 inf + 0 229.775 * * [simplify]: Extracting #4: cost 104 inf + 44 229.776 * * [simplify]: Extracting #5: cost 130 inf + 904 229.777 * * [simplify]: Extracting #6: cost 211 inf + 2932 229.778 * * [simplify]: Extracting #7: cost 217 inf + 3709 229.781 * * [simplify]: Extracting #8: cost 137 inf + 20032 229.789 * * [simplify]: Extracting #9: cost 57 inf + 48737 229.802 * * [simplify]: Extracting #10: cost 23 inf + 68715 229.824 * * [simplify]: Extracting #11: cost 2 inf + 85132 229.854 * * [simplify]: Extracting #12: cost 0 inf + 88062 229.872 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 229.872 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 229.873 * * * * [progress]: [ 546 / 5906 ] simplifiying candidate # 229.873 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 229.873 * * [simplify]: iters left: 6 (51 enodes) 229.888 * * [simplify]: iters left: 5 (256 enodes) 229.981 * * [simplify]: Extracting #0: cost 1 inf + 0 229.981 * * [simplify]: Extracting #1: cost 3 inf + 0 229.981 * * [simplify]: Extracting #2: cost 6 inf + 0 229.981 * * [simplify]: Extracting #3: cost 56 inf + 0 229.982 * * [simplify]: Extracting #4: cost 130 inf + 0 229.982 * * [simplify]: Extracting #5: cost 213 inf + 0 229.987 * * [simplify]: Extracting #6: cost 310 inf + 551 229.990 * * [simplify]: Extracting #7: cost 266 inf + 10552 229.998 * * [simplify]: Extracting #8: cost 142 inf + 38755 230.010 * * [simplify]: Extracting #9: cost 59 inf + 70744 230.037 * * [simplify]: Extracting #10: cost 14 inf + 112405 230.089 * * [simplify]: Extracting #11: cost 1 inf + 125617 230.123 * * [simplify]: Extracting #12: cost 0 inf + 127522 230.154 * * [simplify]: Extracting #13: cost 0 inf + 127402 230.191 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) 230.191 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 230.192 * * * * [progress]: [ 547 / 5906 ] simplifiying candidate # 230.192 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 230.193 * * [simplify]: iters left: 6 (52 enodes) 230.219 * * [simplify]: iters left: 5 (265 enodes) 230.299 * * [simplify]: Extracting #0: cost 1 inf + 0 230.299 * * [simplify]: Extracting #1: cost 3 inf + 0 230.299 * * [simplify]: Extracting #2: cost 6 inf + 0 230.299 * * [simplify]: Extracting #3: cost 60 inf + 0 230.300 * * [simplify]: Extracting #4: cost 153 inf + 0 230.300 * * [simplify]: Extracting #5: cost 226 inf + 85 230.302 * * [simplify]: Extracting #6: cost 291 inf + 4033 230.304 * * [simplify]: Extracting #7: cost 253 inf + 13135 230.313 * * [simplify]: Extracting #8: cost 169 inf + 28874 230.331 * * [simplify]: Extracting #9: cost 99 inf + 53260 230.361 * * [simplify]: Extracting #10: cost 41 inf + 87097 230.394 * * [simplify]: Extracting #11: cost 5 inf + 124454 230.425 * * [simplify]: Extracting #12: cost 1 inf + 130834 230.458 * * [simplify]: Extracting #13: cost 0 inf + 132939 230.498 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) 230.498 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 230.499 * * * * [progress]: [ 548 / 5906 ] simplifiying candidate # 230.499 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 230.499 * * [simplify]: iters left: 6 (52 enodes) 230.514 * * [simplify]: iters left: 5 (265 enodes) 230.609 * * [simplify]: Extracting #0: cost 1 inf + 0 230.609 * * [simplify]: Extracting #1: cost 3 inf + 0 230.609 * * [simplify]: Extracting #2: cost 6 inf + 0 230.610 * * [simplify]: Extracting #3: cost 62 inf + 0 230.613 * * [simplify]: Extracting #4: cost 151 inf + 0 230.614 * * [simplify]: Extracting #5: cost 222 inf + 85 230.617 * * [simplify]: Extracting #6: cost 290 inf + 3387 230.622 * * [simplify]: Extracting #7: cost 261 inf + 10295 230.631 * * [simplify]: Extracting #8: cost 150 inf + 38775 230.642 * * [simplify]: Extracting #9: cost 66 inf + 70692 230.664 * * [simplify]: Extracting #10: cost 16 inf + 116531 230.712 * * [simplify]: Extracting #11: cost 0 inf + 131404 230.763 * * [simplify]: Extracting #12: cost 0 inf + 130531 230.812 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) 230.812 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 230.813 * * * * [progress]: [ 549 / 5906 ] simplifiying candidate # 230.813 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 230.813 * * [simplify]: iters left: 6 (46 enodes) 230.825 * * [simplify]: iters left: 5 (229 enodes) 230.882 * * [simplify]: Extracting #0: cost 1 inf + 0 230.883 * * [simplify]: Extracting #1: cost 3 inf + 0 230.883 * * [simplify]: Extracting #2: cost 6 inf + 0 230.883 * * [simplify]: Extracting #3: cost 54 inf + 0 230.883 * * [simplify]: Extracting #4: cost 119 inf + 0 230.883 * * [simplify]: Extracting #5: cost 171 inf + 44 230.884 * * [simplify]: Extracting #6: cost 255 inf + 908 230.885 * * [simplify]: Extracting #7: cost 248 inf + 3182 230.889 * * [simplify]: Extracting #8: cost 158 inf + 20751 230.897 * * [simplify]: Extracting #9: cost 84 inf + 45566 230.913 * * [simplify]: Extracting #10: cost 17 inf + 92107 230.949 * * [simplify]: Extracting #11: cost 0 inf + 106310 230.993 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2)))) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (* (+ phi2 phi1) (+ phi2 phi1))))) 230.993 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2)))) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (* (+ phi2 phi1) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 230.994 * * * * [progress]: [ 550 / 5906 ] simplifiying candidate # 230.994 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 230.995 * * [simplify]: iters left: 6 (51 enodes) 231.025 * * [simplify]: iters left: 5 (257 enodes) 231.132 * * [simplify]: Extracting #0: cost 1 inf + 0 231.132 * * [simplify]: Extracting #1: cost 3 inf + 0 231.132 * * [simplify]: Extracting #2: cost 10 inf + 0 231.132 * * [simplify]: Extracting #3: cost 74 inf + 0 231.133 * * [simplify]: Extracting #4: cost 136 inf + 42 231.134 * * [simplify]: Extracting #5: cost 192 inf + 249 231.136 * * [simplify]: Extracting #6: cost 277 inf + 1679 231.141 * * [simplify]: Extracting #7: cost 266 inf + 6485 231.145 * * [simplify]: Extracting #8: cost 177 inf + 21673 231.152 * * [simplify]: Extracting #9: cost 108 inf + 44357 231.168 * * [simplify]: Extracting #10: cost 50 inf + 73791 231.206 * * [simplify]: Extracting #11: cost 5 inf + 111756 231.250 * * [simplify]: Extracting #12: cost 1 inf + 118696 231.277 * * [simplify]: Extracting #13: cost 0 inf + 120721 231.318 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 231.318 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 231.319 * * * * [progress]: [ 551 / 5906 ] simplifiying candidate # 231.319 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 231.319 * * [simplify]: iters left: 6 (46 enodes) 231.331 * * [simplify]: iters left: 5 (229 enodes) 231.397 * * [simplify]: Extracting #0: cost 1 inf + 0 231.397 * * [simplify]: Extracting #1: cost 3 inf + 0 231.397 * * [simplify]: Extracting #2: cost 10 inf + 0 231.397 * * [simplify]: Extracting #3: cost 66 inf + 0 231.398 * * [simplify]: Extracting #4: cost 117 inf + 44 231.398 * * [simplify]: Extracting #5: cost 161 inf + 496 231.399 * * [simplify]: Extracting #6: cost 241 inf + 2770 231.400 * * [simplify]: Extracting #7: cost 242 inf + 4111 231.404 * * [simplify]: Extracting #8: cost 190 inf + 11418 231.412 * * [simplify]: Extracting #9: cost 130 inf + 25470 231.428 * * [simplify]: Extracting #10: cost 60 inf + 54314 231.457 * * [simplify]: Extracting #11: cost 8 inf + 93322 231.493 * * [simplify]: Extracting #12: cost 0 inf + 101360 231.527 * * [simplify]: Extracting #13: cost 0 inf + 101120 231.563 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 231.563 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 231.564 * * * * [progress]: [ 552 / 5906 ] simplifiying candidate # 231.564 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 231.565 * * [simplify]: iters left: 6 (51 enodes) 231.587 * * [simplify]: iters left: 5 (257 enodes) 231.680 * * [simplify]: Extracting #0: cost 1 inf + 0 231.680 * * [simplify]: Extracting #1: cost 3 inf + 0 231.680 * * [simplify]: Extracting #2: cost 10 inf + 0 231.681 * * [simplify]: Extracting #3: cost 74 inf + 0 231.681 * * [simplify]: Extracting #4: cost 136 inf + 42 231.682 * * [simplify]: Extracting #5: cost 193 inf + 207 231.684 * * [simplify]: Extracting #6: cost 278 inf + 1636 231.687 * * [simplify]: Extracting #7: cost 261 inf + 7976 231.693 * * [simplify]: Extracting #8: cost 183 inf + 20461 231.708 * * [simplify]: Extracting #9: cost 107 inf + 45761 231.733 * * [simplify]: Extracting #10: cost 51 inf + 73966 231.766 * * [simplify]: Extracting #11: cost 5 inf + 112716 231.798 * * [simplify]: Extracting #12: cost 1 inf + 119656 231.845 * * [simplify]: Extracting #13: cost 0 inf + 121681 231.874 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 231.874 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 231.876 * * * * [progress]: [ 553 / 5906 ] simplifiying candidate # 231.876 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 231.877 * * [simplify]: iters left: 6 (46 enodes) 231.900 * * [simplify]: iters left: 5 (229 enodes) 231.969 * * [simplify]: Extracting #0: cost 1 inf + 0 231.969 * * [simplify]: Extracting #1: cost 3 inf + 0 231.969 * * [simplify]: Extracting #2: cost 10 inf + 0 231.969 * * [simplify]: Extracting #3: cost 65 inf + 0 231.970 * * [simplify]: Extracting #4: cost 117 inf + 44 231.971 * * [simplify]: Extracting #5: cost 158 inf + 782 231.973 * * [simplify]: Extracting #6: cost 240 inf + 2932 231.976 * * [simplify]: Extracting #7: cost 242 inf + 4111 231.981 * * [simplify]: Extracting #8: cost 190 inf + 11418 231.991 * * [simplify]: Extracting #9: cost 122 inf + 28632 232.011 * * [simplify]: Extracting #10: cost 49 inf + 61221 232.046 * * [simplify]: Extracting #11: cost 7 inf + 94385 232.086 * * [simplify]: Extracting #12: cost 0 inf + 101760 232.127 * * [simplify]: Extracting #13: cost 0 inf + 101520 232.149 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 232.149 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 232.150 * * * * [progress]: [ 554 / 5906 ] simplifiying candidate # 232.150 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 232.151 * * [simplify]: iters left: 6 (52 enodes) 232.175 * * [simplify]: iters left: 5 (254 enodes) 232.253 * * [simplify]: Extracting #0: cost 1 inf + 0 232.253 * * [simplify]: Extracting #1: cost 3 inf + 0 232.253 * * [simplify]: Extracting #2: cost 6 inf + 0 232.254 * * [simplify]: Extracting #3: cost 56 inf + 0 232.254 * * [simplify]: Extracting #4: cost 130 inf + 0 232.255 * * [simplify]: Extracting #5: cost 215 inf + 0 232.257 * * [simplify]: Extracting #6: cost 312 inf + 510 232.260 * * [simplify]: Extracting #7: cost 268 inf + 9927 232.271 * * [simplify]: Extracting #8: cost 148 inf + 36777 232.293 * * [simplify]: Extracting #9: cost 61 inf + 68012 232.315 * * [simplify]: Extracting #10: cost 12 inf + 115528 232.356 * * [simplify]: Extracting #11: cost 1 inf + 127140 232.406 * * [simplify]: Extracting #12: cost 0 inf + 129165 232.455 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 232.455 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 232.456 * * * * [progress]: [ 555 / 5906 ] simplifiying candidate # 232.457 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 232.457 * * [simplify]: iters left: 6 (53 enodes) 232.483 * * [simplify]: iters left: 5 (263 enodes) 232.570 * * [simplify]: Extracting #0: cost 1 inf + 0 232.570 * * [simplify]: Extracting #1: cost 3 inf + 0 232.570 * * [simplify]: Extracting #2: cost 6 inf + 0 232.571 * * [simplify]: Extracting #3: cost 60 inf + 0 232.571 * * [simplify]: Extracting #4: cost 153 inf + 0 232.572 * * [simplify]: Extracting #5: cost 228 inf + 85 232.575 * * [simplify]: Extracting #6: cost 285 inf + 5206 232.581 * * [simplify]: Extracting #7: cost 247 inf + 14249 232.592 * * [simplify]: Extracting #8: cost 176 inf + 27513 232.609 * * [simplify]: Extracting #9: cost 104 inf + 54317 232.633 * * [simplify]: Extracting #10: cost 49 inf + 81037 232.658 * * [simplify]: Extracting #11: cost 13 inf + 120217 232.690 * * [simplify]: Extracting #12: cost 0 inf + 136182 232.726 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 232.727 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 232.727 * * * * [progress]: [ 556 / 5906 ] simplifiying candidate # 232.728 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 232.728 * * [simplify]: iters left: 6 (53 enodes) 232.743 * * [simplify]: iters left: 5 (263 enodes) 232.831 * * [simplify]: Extracting #0: cost 1 inf + 0 232.831 * * [simplify]: Extracting #1: cost 3 inf + 0 232.831 * * [simplify]: Extracting #2: cost 6 inf + 0 232.832 * * [simplify]: Extracting #3: cost 62 inf + 0 232.832 * * [simplify]: Extracting #4: cost 151 inf + 0 232.832 * * [simplify]: Extracting #5: cost 225 inf + 44 232.834 * * [simplify]: Extracting #6: cost 282 inf + 5167 232.837 * * [simplify]: Extracting #7: cost 244 inf + 14097 232.842 * * [simplify]: Extracting #8: cost 155 inf + 34000 232.854 * * [simplify]: Extracting #9: cost 79 inf + 60129 232.882 * * [simplify]: Extracting #10: cost 28 inf + 102511 232.910 * * [simplify]: Extracting #11: cost 2 inf + 128124 232.945 * * [simplify]: Extracting #12: cost 0 inf + 132334 232.976 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 232.976 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 232.976 * * * * [progress]: [ 557 / 5906 ] simplifiying candidate # 232.977 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 232.977 * * [simplify]: iters left: 6 (47 enodes) 232.989 * * [simplify]: iters left: 5 (227 enodes) 233.052 * * [simplify]: Extracting #0: cost 1 inf + 0 233.052 * * [simplify]: Extracting #1: cost 3 inf + 0 233.052 * * [simplify]: Extracting #2: cost 6 inf + 0 233.052 * * [simplify]: Extracting #3: cost 54 inf + 0 233.053 * * [simplify]: Extracting #4: cost 119 inf + 0 233.053 * * [simplify]: Extracting #5: cost 173 inf + 44 233.054 * * [simplify]: Extracting #6: cost 252 inf + 1476 233.056 * * [simplify]: Extracting #7: cost 242 inf + 3671 233.063 * * [simplify]: Extracting #8: cost 148 inf + 23231 233.087 * * [simplify]: Extracting #9: cost 48 inf + 67774 233.110 * * [simplify]: Extracting #10: cost 13 inf + 94702 233.131 * * [simplify]: Extracting #11: cost 1 inf + 106368 233.154 * * [simplify]: Extracting #12: cost 0 inf + 107193 233.185 * * [simplify]: Extracting #13: cost 0 inf + 107073 233.228 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 233.229 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 233.230 * * * * [progress]: [ 558 / 5906 ] simplifiying candidate # 233.230 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 233.231 * * [simplify]: iters left: 6 (52 enodes) 233.259 * * [simplify]: iters left: 5 (255 enodes) 233.331 * * [simplify]: Extracting #0: cost 1 inf + 0 233.331 * * [simplify]: Extracting #1: cost 3 inf + 0 233.331 * * [simplify]: Extracting #2: cost 10 inf + 0 233.331 * * [simplify]: Extracting #3: cost 74 inf + 0 233.332 * * [simplify]: Extracting #4: cost 137 inf + 1 233.332 * * [simplify]: Extracting #5: cost 195 inf + 207 233.334 * * [simplify]: Extracting #6: cost 279 inf + 1557 233.337 * * [simplify]: Extracting #7: cost 258 inf + 6324 233.344 * * [simplify]: Extracting #8: cost 177 inf + 23002 233.358 * * [simplify]: Extracting #9: cost 108 inf + 44479 233.383 * * [simplify]: Extracting #10: cost 47 inf + 75692 233.410 * * [simplify]: Extracting #11: cost 9 inf + 111419 233.442 * * [simplify]: Extracting #12: cost 1 inf + 121019 233.493 * * [simplify]: Extracting #13: cost 0 inf + 123044 233.518 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 233.518 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 233.519 * * * * [progress]: [ 559 / 5906 ] simplifiying candidate # 233.519 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 233.520 * * [simplify]: iters left: 6 (47 enodes) 233.535 * * [simplify]: iters left: 5 (227 enodes) 233.632 * * [simplify]: Extracting #0: cost 1 inf + 0 233.632 * * [simplify]: Extracting #1: cost 3 inf + 0 233.632 * * [simplify]: Extracting #2: cost 10 inf + 0 233.632 * * [simplify]: Extracting #3: cost 66 inf + 0 233.633 * * [simplify]: Extracting #4: cost 117 inf + 44 233.634 * * [simplify]: Extracting #5: cost 158 inf + 1226 233.636 * * [simplify]: Extracting #6: cost 241 inf + 2972 233.639 * * [simplify]: Extracting #7: cost 240 inf + 3789 233.647 * * [simplify]: Extracting #8: cost 140 inf + 30753 233.660 * * [simplify]: Extracting #9: cost 52 inf + 66080 233.679 * * [simplify]: Extracting #10: cost 3 inf + 98528 233.707 * * [simplify]: Extracting #11: cost 1 inf + 101258 233.730 * * [simplify]: Extracting #12: cost 0 inf + 103043 233.771 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 233.772 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 233.773 * * * * [progress]: [ 560 / 5906 ] simplifiying candidate # 233.773 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 233.774 * * [simplify]: iters left: 6 (52 enodes) 233.800 * * [simplify]: iters left: 5 (255 enodes) 233.872 * * [simplify]: Extracting #0: cost 1 inf + 0 233.872 * * [simplify]: Extracting #1: cost 3 inf + 0 233.872 * * [simplify]: Extracting #2: cost 10 inf + 0 233.872 * * [simplify]: Extracting #3: cost 74 inf + 0 233.873 * * [simplify]: Extracting #4: cost 137 inf + 1 233.873 * * [simplify]: Extracting #5: cost 195 inf + 207 233.874 * * [simplify]: Extracting #6: cost 271 inf + 3531 233.876 * * [simplify]: Extracting #7: cost 253 inf + 7583 233.880 * * [simplify]: Extracting #8: cost 177 inf + 22962 233.888 * * [simplify]: Extracting #9: cost 104 inf + 48054 233.912 * * [simplify]: Extracting #10: cost 44 inf + 78984 233.937 * * [simplify]: Extracting #11: cost 10 inf + 111554 233.974 * * [simplify]: Extracting #12: cost 1 inf + 121979 234.006 * * [simplify]: Extracting #13: cost 0 inf + 124004 234.043 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 234.043 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 234.044 * * * * [progress]: [ 561 / 5906 ] simplifiying candidate # 234.044 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 234.044 * * [simplify]: iters left: 6 (47 enodes) 234.056 * * [simplify]: iters left: 5 (227 enodes) 234.140 * * [simplify]: Extracting #0: cost 1 inf + 0 234.141 * * [simplify]: Extracting #1: cost 3 inf + 0 234.141 * * [simplify]: Extracting #2: cost 10 inf + 0 234.141 * * [simplify]: Extracting #3: cost 65 inf + 0 234.141 * * [simplify]: Extracting #4: cost 117 inf + 44 234.142 * * [simplify]: Extracting #5: cost 161 inf + 740 234.144 * * [simplify]: Extracting #6: cost 244 inf + 2406 234.147 * * [simplify]: Extracting #7: cost 242 inf + 3506 234.155 * * [simplify]: Extracting #8: cost 147 inf + 26430 234.174 * * [simplify]: Extracting #9: cost 57 inf + 62758 234.208 * * [simplify]: Extracting #10: cost 3 inf + 99968 234.232 * * [simplify]: Extracting #11: cost 1 inf + 101898 234.255 * * [simplify]: Extracting #12: cost 0 inf + 103683 234.281 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 234.282 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 234.283 * * * * [progress]: [ 562 / 5906 ] simplifiying candidate # 234.283 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 234.284 * * [simplify]: iters left: 6 (52 enodes) 234.310 * * [simplify]: iters left: 5 (254 enodes) 234.416 * * [simplify]: Extracting #0: cost 1 inf + 0 234.416 * * [simplify]: Extracting #1: cost 3 inf + 0 234.416 * * [simplify]: Extracting #2: cost 6 inf + 0 234.417 * * [simplify]: Extracting #3: cost 56 inf + 0 234.417 * * [simplify]: Extracting #4: cost 130 inf + 0 234.418 * * [simplify]: Extracting #5: cost 210 inf + 0 234.420 * * [simplify]: Extracting #6: cost 301 inf + 882 234.423 * * [simplify]: Extracting #7: cost 250 inf + 11495 234.432 * * [simplify]: Extracting #8: cost 160 inf + 32688 234.448 * * [simplify]: Extracting #9: cost 103 inf + 52357 234.487 * * [simplify]: Extracting #10: cost 14 inf + 116960 234.535 * * [simplify]: Extracting #11: cost 1 inf + 130485 234.570 * * [simplify]: Extracting #12: cost 0 inf + 132590 234.614 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1)))))) 234.614 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 234.616 * * * * [progress]: [ 563 / 5906 ] simplifiying candidate # 234.616 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 234.617 * * [simplify]: iters left: 6 (53 enodes) 234.645 * * [simplify]: iters left: 5 (263 enodes) 234.730 * * [simplify]: Extracting #0: cost 1 inf + 0 234.730 * * [simplify]: Extracting #1: cost 3 inf + 0 234.730 * * [simplify]: Extracting #2: cost 6 inf + 0 234.731 * * [simplify]: Extracting #3: cost 60 inf + 0 234.731 * * [simplify]: Extracting #4: cost 153 inf + 0 234.732 * * [simplify]: Extracting #5: cost 223 inf + 85 234.735 * * [simplify]: Extracting #6: cost 274 inf + 6018 234.741 * * [simplify]: Extracting #7: cost 238 inf + 15028 234.752 * * [simplify]: Extracting #8: cost 163 inf + 31393 234.767 * * [simplify]: Extracting #9: cost 108 inf + 50088 234.793 * * [simplify]: Extracting #10: cost 54 inf + 77941 234.831 * * [simplify]: Extracting #11: cost 12 inf + 120947 234.866 * * [simplify]: Extracting #12: cost 0 inf + 135407 234.902 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 234.902 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 234.903 * * * * [progress]: [ 564 / 5906 ] simplifiying candidate # 234.903 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 234.903 * * [simplify]: iters left: 6 (53 enodes) 234.920 * * [simplify]: iters left: 5 (263 enodes) 234.998 * * [simplify]: Extracting #0: cost 1 inf + 0 234.998 * * [simplify]: Extracting #1: cost 3 inf + 0 234.998 * * [simplify]: Extracting #2: cost 6 inf + 0 234.998 * * [simplify]: Extracting #3: cost 62 inf + 0 234.999 * * [simplify]: Extracting #4: cost 151 inf + 0 235.000 * * [simplify]: Extracting #5: cost 220 inf + 44 235.002 * * [simplify]: Extracting #6: cost 279 inf + 3882 235.007 * * [simplify]: Extracting #7: cost 238 inf + 14275 235.019 * * [simplify]: Extracting #8: cost 130 inf + 46775 235.045 * * [simplify]: Extracting #9: cost 49 inf + 79658 235.079 * * [simplify]: Extracting #10: cost 16 inf + 111279 235.121 * * [simplify]: Extracting #11: cost 0 inf + 130439 235.148 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 235.148 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 235.149 * * * * [progress]: [ 565 / 5906 ] simplifiying candidate # 235.149 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 235.149 * * [simplify]: iters left: 6 (47 enodes) 235.167 * * [simplify]: iters left: 5 (227 enodes) 235.233 * * [simplify]: Extracting #0: cost 1 inf + 0 235.233 * * [simplify]: Extracting #1: cost 3 inf + 0 235.233 * * [simplify]: Extracting #2: cost 6 inf + 0 235.233 * * [simplify]: Extracting #3: cost 54 inf + 0 235.234 * * [simplify]: Extracting #4: cost 119 inf + 0 235.234 * * [simplify]: Extracting #5: cost 168 inf + 44 235.236 * * [simplify]: Extracting #6: cost 247 inf + 1277 235.239 * * [simplify]: Extracting #7: cost 225 inf + 5428 235.246 * * [simplify]: Extracting #8: cost 161 inf + 17559 235.259 * * [simplify]: Extracting #9: cost 109 inf + 38751 235.280 * * [simplify]: Extracting #10: cost 49 inf + 63000 235.304 * * [simplify]: Extracting #11: cost 12 inf + 91678 235.327 * * [simplify]: Extracting #12: cost 1 inf + 104513 235.361 * * [simplify]: Extracting #13: cost 0 inf + 106378 235.388 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 235.388 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 235.388 * * * * [progress]: [ 566 / 5906 ] simplifiying candidate # 235.389 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 235.389 * * [simplify]: iters left: 6 (52 enodes) 235.403 * * [simplify]: iters left: 5 (255 enodes) 235.468 * * [simplify]: Extracting #0: cost 1 inf + 0 235.468 * * [simplify]: Extracting #1: cost 3 inf + 0 235.469 * * [simplify]: Extracting #2: cost 10 inf + 0 235.469 * * [simplify]: Extracting #3: cost 74 inf + 0 235.469 * * [simplify]: Extracting #4: cost 137 inf + 1 235.471 * * [simplify]: Extracting #5: cost 190 inf + 207 235.472 * * [simplify]: Extracting #6: cost 267 inf + 2211 235.476 * * [simplify]: Extracting #7: cost 235 inf + 9796 235.483 * * [simplify]: Extracting #8: cost 170 inf + 24284 235.497 * * [simplify]: Extracting #9: cost 111 inf + 44231 235.515 * * [simplify]: Extracting #10: cost 45 inf + 75706 235.537 * * [simplify]: Extracting #11: cost 11 inf + 108354 235.585 * * [simplify]: Extracting #12: cost 1 inf + 119844 235.634 * * [simplify]: Extracting #13: cost 0 inf + 121869 235.663 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))) 235.663 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 235.663 * * * * [progress]: [ 567 / 5906 ] simplifiying candidate # 235.664 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 235.664 * * [simplify]: iters left: 6 (47 enodes) 235.683 * * [simplify]: iters left: 5 (227 enodes) 235.741 * * [simplify]: Extracting #0: cost 1 inf + 0 235.741 * * [simplify]: Extracting #1: cost 3 inf + 0 235.742 * * [simplify]: Extracting #2: cost 10 inf + 0 235.742 * * [simplify]: Extracting #3: cost 66 inf + 0 235.742 * * [simplify]: Extracting #4: cost 117 inf + 44 235.743 * * [simplify]: Extracting #5: cost 152 inf + 1348 235.745 * * [simplify]: Extracting #6: cost 234 inf + 3016 235.748 * * [simplify]: Extracting #7: cost 219 inf + 5912 235.758 * * [simplify]: Extracting #8: cost 107 inf + 38367 235.771 * * [simplify]: Extracting #9: cost 47 inf + 64679 235.791 * * [simplify]: Extracting #10: cost 7 inf + 95919 235.831 * * [simplify]: Extracting #11: cost 1 inf + 102003 235.860 * * [simplify]: Extracting #12: cost 0 inf + 103788 235.882 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 235.882 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 235.883 * * * * [progress]: [ 568 / 5906 ] simplifiying candidate # 235.884 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 235.885 * * [simplify]: iters left: 6 (52 enodes) 235.913 * * [simplify]: iters left: 5 (255 enodes) 236.003 * * [simplify]: Extracting #0: cost 1 inf + 0 236.003 * * [simplify]: Extracting #1: cost 3 inf + 0 236.003 * * [simplify]: Extracting #2: cost 10 inf + 0 236.003 * * [simplify]: Extracting #3: cost 74 inf + 0 236.004 * * [simplify]: Extracting #4: cost 137 inf + 1 236.004 * * [simplify]: Extracting #5: cost 190 inf + 207 236.005 * * [simplify]: Extracting #6: cost 262 inf + 3419 236.008 * * [simplify]: Extracting #7: cost 229 inf + 11894 236.012 * * [simplify]: Extracting #8: cost 169 inf + 24376 236.021 * * [simplify]: Extracting #9: cost 116 inf + 41268 236.032 * * [simplify]: Extracting #10: cost 56 inf + 68311 236.062 * * [simplify]: Extracting #11: cost 10 inf + 111339 236.090 * * [simplify]: Extracting #12: cost 1 inf + 120804 236.128 * * [simplify]: Extracting #13: cost 0 inf + 122829 236.163 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))) 236.163 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 236.164 * * * * [progress]: [ 569 / 5906 ] simplifiying candidate # 236.164 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 236.165 * * [simplify]: iters left: 6 (47 enodes) 236.176 * * [simplify]: iters left: 5 (227 enodes) 236.238 * * [simplify]: Extracting #0: cost 1 inf + 0 236.238 * * [simplify]: Extracting #1: cost 3 inf + 0 236.238 * * [simplify]: Extracting #2: cost 10 inf + 0 236.239 * * [simplify]: Extracting #3: cost 65 inf + 0 236.239 * * [simplify]: Extracting #4: cost 117 inf + 44 236.239 * * [simplify]: Extracting #5: cost 156 inf + 740 236.240 * * [simplify]: Extracting #6: cost 239 inf + 2286 236.242 * * [simplify]: Extracting #7: cost 226 inf + 5139 236.249 * * [simplify]: Extracting #8: cost 111 inf + 37782 236.260 * * [simplify]: Extracting #9: cost 48 inf + 64867 236.277 * * [simplify]: Extracting #10: cost 7 inf + 97172 236.300 * * [simplify]: Extracting #11: cost 1 inf + 102403 236.321 * * [simplify]: Extracting #12: cost 0 inf + 104188 236.349 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 236.349 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 236.350 * * * * [progress]: [ 570 / 5906 ] simplifiying candidate # 236.350 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 236.351 * * [simplify]: iters left: 6 (52 enodes) 236.378 * * [simplify]: iters left: 5 (255 enodes) 236.456 * * [simplify]: Extracting #0: cost 1 inf + 0 236.457 * * [simplify]: Extracting #1: cost 3 inf + 0 236.457 * * [simplify]: Extracting #2: cost 6 inf + 0 236.457 * * [simplify]: Extracting #3: cost 56 inf + 0 236.457 * * [simplify]: Extracting #4: cost 130 inf + 0 236.458 * * [simplify]: Extracting #5: cost 214 inf + 0 236.460 * * [simplify]: Extracting #6: cost 311 inf + 893 236.466 * * [simplify]: Extracting #7: cost 265 inf + 8475 236.477 * * [simplify]: Extracting #8: cost 135 inf + 43676 236.488 * * [simplify]: Extracting #9: cost 59 inf + 70602 236.508 * * [simplify]: Extracting #10: cost 13 inf + 113680 236.545 * * [simplify]: Extracting #11: cost 1 inf + 127540 236.578 * * [simplify]: Extracting #12: cost 0 inf + 129565 236.613 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 236.614 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 236.614 * * * * [progress]: [ 571 / 5906 ] simplifiying candidate # 236.614 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 236.615 * * [simplify]: iters left: 6 (53 enodes) 236.629 * * [simplify]: iters left: 5 (264 enodes) 236.715 * * [simplify]: Extracting #0: cost 1 inf + 0 236.715 * * [simplify]: Extracting #1: cost 3 inf + 0 236.715 * * [simplify]: Extracting #2: cost 6 inf + 0 236.715 * * [simplify]: Extracting #3: cost 60 inf + 0 236.715 * * [simplify]: Extracting #4: cost 153 inf + 0 236.716 * * [simplify]: Extracting #5: cost 228 inf + 44 236.717 * * [simplify]: Extracting #6: cost 290 inf + 4399 236.720 * * [simplify]: Extracting #7: cost 261 inf + 10989 236.724 * * [simplify]: Extracting #8: cost 184 inf + 25031 236.733 * * [simplify]: Extracting #9: cost 98 inf + 56297 236.753 * * [simplify]: Extracting #10: cost 55 inf + 78329 236.797 * * [simplify]: Extracting #11: cost 13 inf + 119257 236.847 * * [simplify]: Extracting #12: cost 0 inf + 134822 236.879 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 236.879 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 236.880 * * * * [progress]: [ 572 / 5906 ] simplifiying candidate # 236.881 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 236.882 * * [simplify]: iters left: 6 (53 enodes) 236.908 * * [simplify]: iters left: 5 (264 enodes) 236.994 * * [simplify]: Extracting #0: cost 1 inf + 0 236.994 * * [simplify]: Extracting #1: cost 3 inf + 0 236.994 * * [simplify]: Extracting #2: cost 6 inf + 0 236.994 * * [simplify]: Extracting #3: cost 62 inf + 0 236.995 * * [simplify]: Extracting #4: cost 151 inf + 0 236.996 * * [simplify]: Extracting #5: cost 224 inf + 44 236.999 * * [simplify]: Extracting #6: cost 294 inf + 3262 237.004 * * [simplify]: Extracting #7: cost 251 inf + 12383 237.012 * * [simplify]: Extracting #8: cost 178 inf + 25058 237.029 * * [simplify]: Extracting #9: cost 100 inf + 56009 237.042 * * [simplify]: Extracting #10: cost 48 inf + 80374 237.073 * * [simplify]: Extracting #11: cost 12 inf + 116874 237.118 * * [simplify]: Extracting #12: cost 0 inf + 131734 237.149 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 237.149 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 237.150 * * * * [progress]: [ 573 / 5906 ] simplifiying candidate # 237.151 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 237.151 * * [simplify]: iters left: 6 (47 enodes) 237.176 * * [simplify]: iters left: 5 (228 enodes) 237.256 * * [simplify]: Extracting #0: cost 1 inf + 0 237.256 * * [simplify]: Extracting #1: cost 3 inf + 0 237.256 * * [simplify]: Extracting #2: cost 6 inf + 0 237.257 * * [simplify]: Extracting #3: cost 54 inf + 0 237.257 * * [simplify]: Extracting #4: cost 119 inf + 0 237.258 * * [simplify]: Extracting #5: cost 172 inf + 44 237.260 * * [simplify]: Extracting #6: cost 254 inf + 1192 237.262 * * [simplify]: Extracting #7: cost 236 inf + 4163 237.269 * * [simplify]: Extracting #8: cost 161 inf + 18905 237.285 * * [simplify]: Extracting #9: cost 89 inf + 43031 237.300 * * [simplify]: Extracting #10: cost 19 inf + 90915 237.336 * * [simplify]: Extracting #11: cost 1 inf + 105328 237.360 * * [simplify]: Extracting #12: cost 0 inf + 107153 237.393 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 237.393 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 237.394 * * * * [progress]: [ 574 / 5906 ] simplifiying candidate # 237.394 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 237.394 * * [simplify]: iters left: 6 (52 enodes) 237.407 * * [simplify]: iters left: 5 (256 enodes) 237.505 * * [simplify]: Extracting #0: cost 1 inf + 0 237.505 * * [simplify]: Extracting #1: cost 3 inf + 0 237.505 * * [simplify]: Extracting #2: cost 10 inf + 0 237.505 * * [simplify]: Extracting #3: cost 74 inf + 0 237.506 * * [simplify]: Extracting #4: cost 136 inf + 42 237.507 * * [simplify]: Extracting #5: cost 194 inf + 207 237.509 * * [simplify]: Extracting #6: cost 276 inf + 2162 237.512 * * [simplify]: Extracting #7: cost 252 inf + 8117 237.519 * * [simplify]: Extracting #8: cost 179 inf + 22960 237.534 * * [simplify]: Extracting #9: cost 105 inf + 45348 237.559 * * [simplify]: Extracting #10: cost 41 inf + 79341 237.601 * * [simplify]: Extracting #11: cost 2 inf + 119314 237.636 * * [simplify]: Extracting #12: cost 1 inf + 121339 237.684 * * [simplify]: Extracting #13: cost 0 inf + 123364 237.711 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) 237.711 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 237.712 * * * * [progress]: [ 575 / 5906 ] simplifiying candidate # 237.712 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 237.712 * * [simplify]: iters left: 6 (47 enodes) 237.727 * * [simplify]: iters left: 5 (228 enodes) 237.788 * * [simplify]: Extracting #0: cost 1 inf + 0 237.788 * * [simplify]: Extracting #1: cost 3 inf + 0 237.788 * * [simplify]: Extracting #2: cost 10 inf + 0 237.788 * * [simplify]: Extracting #3: cost 66 inf + 0 237.789 * * [simplify]: Extracting #4: cost 117 inf + 44 237.789 * * [simplify]: Extracting #5: cost 155 inf + 1510 237.790 * * [simplify]: Extracting #6: cost 241 inf + 2972 237.792 * * [simplify]: Extracting #7: cost 240 inf + 3789 237.795 * * [simplify]: Extracting #8: cost 163 inf + 23801 237.805 * * [simplify]: Extracting #9: cost 93 inf + 48700 237.816 * * [simplify]: Extracting #10: cost 42 inf + 65793 237.836 * * [simplify]: Extracting #11: cost 6 inf + 95333 237.867 * * [simplify]: Extracting #12: cost 1 inf + 101658 237.890 * * [simplify]: Extracting #13: cost 0 inf + 103443 237.930 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 237.930 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 237.931 * * * * [progress]: [ 576 / 5906 ] simplifiying candidate # 237.931 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 237.932 * * [simplify]: iters left: 6 (52 enodes) 237.952 * * [simplify]: iters left: 5 (256 enodes) 238.015 * * [simplify]: Extracting #0: cost 1 inf + 0 238.015 * * [simplify]: Extracting #1: cost 3 inf + 0 238.015 * * [simplify]: Extracting #2: cost 10 inf + 0 238.015 * * [simplify]: Extracting #3: cost 74 inf + 0 238.015 * * [simplify]: Extracting #4: cost 136 inf + 42 238.016 * * [simplify]: Extracting #5: cost 194 inf + 207 238.017 * * [simplify]: Extracting #6: cost 272 inf + 3008 238.019 * * [simplify]: Extracting #7: cost 250 inf + 8600 238.022 * * [simplify]: Extracting #8: cost 179 inf + 23080 238.029 * * [simplify]: Extracting #9: cost 106 inf + 44744 238.042 * * [simplify]: Extracting #10: cost 42 inf + 79316 238.066 * * [simplify]: Extracting #11: cost 2 inf + 120274 238.100 * * [simplify]: Extracting #12: cost 1 inf + 122299 238.129 * * [simplify]: Extracting #13: cost 0 inf + 124324 238.165 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) 238.165 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 238.166 * * * * [progress]: [ 577 / 5906 ] simplifiying candidate # 238.167 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 238.168 * * [simplify]: iters left: 6 (47 enodes) 238.193 * * [simplify]: iters left: 5 (228 enodes) 238.279 * * [simplify]: Extracting #0: cost 1 inf + 0 238.279 * * [simplify]: Extracting #1: cost 3 inf + 0 238.279 * * [simplify]: Extracting #2: cost 10 inf + 0 238.279 * * [simplify]: Extracting #3: cost 65 inf + 0 238.279 * * [simplify]: Extracting #4: cost 116 inf + 86 238.280 * * [simplify]: Extracting #5: cost 152 inf + 1796 238.281 * * [simplify]: Extracting #6: cost 241 inf + 2932 238.282 * * [simplify]: Extracting #7: cost 242 inf + 3587 238.286 * * [simplify]: Extracting #8: cost 168 inf + 20421 238.294 * * [simplify]: Extracting #9: cost 93 inf + 47921 238.312 * * [simplify]: Extracting #10: cost 40 inf + 67363 238.336 * * [simplify]: Extracting #11: cost 6 inf + 95733 238.356 * * [simplify]: Extracting #12: cost 1 inf + 102058 238.392 * * [simplify]: Extracting #13: cost 0 inf + 103843 238.412 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 238.412 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 238.413 * * * * [progress]: [ 578 / 5906 ] simplifiying candidate # 238.413 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 238.413 * * [simplify]: iters left: 6 (52 enodes) 238.434 * * [simplify]: iters left: 5 (255 enodes) 238.539 * * [simplify]: Extracting #0: cost 1 inf + 0 238.540 * * [simplify]: Extracting #1: cost 3 inf + 0 238.540 * * [simplify]: Extracting #2: cost 6 inf + 0 238.540 * * [simplify]: Extracting #3: cost 56 inf + 0 238.540 * * [simplify]: Extracting #4: cost 130 inf + 0 238.541 * * [simplify]: Extracting #5: cost 210 inf + 0 238.543 * * [simplify]: Extracting #6: cost 301 inf + 1143 238.547 * * [simplify]: Extracting #7: cost 251 inf + 10479 238.559 * * [simplify]: Extracting #8: cost 132 inf + 44806 238.584 * * [simplify]: Extracting #9: cost 62 inf + 68688 238.624 * * [simplify]: Extracting #10: cost 11 inf + 115915 238.662 * * [simplify]: Extracting #11: cost 1 inf + 128085 238.700 * * [simplify]: Extracting #12: cost 0 inf + 130110 238.752 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))))) 238.752 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 238.753 * * * * [progress]: [ 579 / 5906 ] simplifiying candidate # 238.753 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 238.754 * * [simplify]: iters left: 6 (53 enodes) 238.780 * * [simplify]: iters left: 5 (264 enodes) 238.893 * * [simplify]: Extracting #0: cost 1 inf + 0 238.893 * * [simplify]: Extracting #1: cost 3 inf + 0 238.893 * * [simplify]: Extracting #2: cost 6 inf + 0 238.893 * * [simplify]: Extracting #3: cost 60 inf + 0 238.894 * * [simplify]: Extracting #4: cost 153 inf + 0 238.895 * * [simplify]: Extracting #5: cost 224 inf + 44 238.898 * * [simplify]: Extracting #6: cost 280 inf + 4689 238.904 * * [simplify]: Extracting #7: cost 247 inf + 12320 238.913 * * [simplify]: Extracting #8: cost 165 inf + 32579 238.922 * * [simplify]: Extracting #9: cost 100 inf + 54874 238.935 * * [simplify]: Extracting #10: cost 54 inf + 77177 238.968 * * [simplify]: Extracting #11: cost 12 inf + 117507 239.001 * * [simplify]: Extracting #12: cost 0 inf + 132767 239.042 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 239.042 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 239.043 * * * * [progress]: [ 580 / 5906 ] simplifiying candidate # 239.043 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 239.043 * * [simplify]: iters left: 6 (53 enodes) 239.056 * * [simplify]: iters left: 5 (264 enodes) 239.131 * * [simplify]: Extracting #0: cost 1 inf + 0 239.131 * * [simplify]: Extracting #1: cost 3 inf + 0 239.131 * * [simplify]: Extracting #2: cost 6 inf + 0 239.131 * * [simplify]: Extracting #3: cost 62 inf + 0 239.132 * * [simplify]: Extracting #4: cost 151 inf + 0 239.133 * * [simplify]: Extracting #5: cost 220 inf + 44 239.134 * * [simplify]: Extracting #6: cost 283 inf + 3314 239.138 * * [simplify]: Extracting #7: cost 243 inf + 13296 239.144 * * [simplify]: Extracting #8: cost 161 inf + 33038 239.157 * * [simplify]: Extracting #9: cost 91 inf + 63139 239.184 * * [simplify]: Extracting #10: cost 47 inf + 81626 239.217 * * [simplify]: Extracting #11: cost 14 inf + 115249 239.254 * * [simplify]: Extracting #12: cost 0 inf + 132839 239.281 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 239.282 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 239.282 * * * * [progress]: [ 581 / 5906 ] simplifiying candidate # 239.283 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 239.283 * * [simplify]: iters left: 6 (47 enodes) 239.300 * * [simplify]: iters left: 5 (228 enodes) 239.364 * * [simplify]: Extracting #0: cost 1 inf + 0 239.365 * * [simplify]: Extracting #1: cost 3 inf + 0 239.365 * * [simplify]: Extracting #2: cost 6 inf + 0 239.365 * * [simplify]: Extracting #3: cost 54 inf + 0 239.365 * * [simplify]: Extracting #4: cost 119 inf + 0 239.366 * * [simplify]: Extracting #5: cost 168 inf + 44 239.368 * * [simplify]: Extracting #6: cost 246 inf + 1318 239.371 * * [simplify]: Extracting #7: cost 226 inf + 5264 239.378 * * [simplify]: Extracting #8: cost 146 inf + 22078 239.396 * * [simplify]: Extracting #9: cost 68 inf + 54045 239.432 * * [simplify]: Extracting #10: cost 7 inf + 98976 239.453 * * [simplify]: Extracting #11: cost 1 inf + 103793 239.489 * * [simplify]: Extracting #12: cost 0 inf + 105298 239.530 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 239.530 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 239.531 * * * * [progress]: [ 582 / 5906 ] simplifiying candidate # 239.531 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 239.532 * * [simplify]: iters left: 6 (52 enodes) 239.546 * * [simplify]: iters left: 5 (256 enodes) 239.612 * * [simplify]: Extracting #0: cost 1 inf + 0 239.613 * * [simplify]: Extracting #1: cost 3 inf + 0 239.613 * * [simplify]: Extracting #2: cost 10 inf + 0 239.613 * * [simplify]: Extracting #3: cost 74 inf + 0 239.613 * * [simplify]: Extracting #4: cost 136 inf + 42 239.613 * * [simplify]: Extracting #5: cost 190 inf + 207 239.614 * * [simplify]: Extracting #6: cost 265 inf + 2734 239.616 * * [simplify]: Extracting #7: cost 238 inf + 9140 239.620 * * [simplify]: Extracting #8: cost 167 inf + 25152 239.627 * * [simplify]: Extracting #9: cost 106 inf + 44308 239.642 * * [simplify]: Extracting #10: cost 43 inf + 76916 239.674 * * [simplify]: Extracting #11: cost 3 inf + 117394 239.706 * * [simplify]: Extracting #12: cost 1 inf + 120084 239.747 * * [simplify]: Extracting #13: cost 0 inf + 122109 239.772 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) 239.773 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 239.774 * * * * [progress]: [ 583 / 5906 ] simplifiying candidate # 239.774 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 239.775 * * [simplify]: iters left: 6 (47 enodes) 239.797 * * [simplify]: iters left: 5 (228 enodes) 239.857 * * [simplify]: Extracting #0: cost 1 inf + 0 239.857 * * [simplify]: Extracting #1: cost 3 inf + 0 239.857 * * [simplify]: Extracting #2: cost 10 inf + 0 239.857 * * [simplify]: Extracting #3: cost 66 inf + 0 239.857 * * [simplify]: Extracting #4: cost 117 inf + 44 239.859 * * [simplify]: Extracting #5: cost 151 inf + 1510 239.861 * * [simplify]: Extracting #6: cost 234 inf + 3016 239.864 * * [simplify]: Extracting #7: cost 223 inf + 5951 239.872 * * [simplify]: Extracting #8: cost 139 inf + 27380 239.887 * * [simplify]: Extracting #9: cost 91 inf + 46725 239.907 * * [simplify]: Extracting #10: cost 40 inf + 65761 239.939 * * [simplify]: Extracting #11: cost 4 inf + 97408 239.979 * * [simplify]: Extracting #12: cost 1 inf + 102003 240.011 * * [simplify]: Extracting #13: cost 0 inf + 103788 240.031 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 240.032 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 240.032 * * * * [progress]: [ 584 / 5906 ] simplifiying candidate # 240.032 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 240.033 * * [simplify]: iters left: 6 (52 enodes) 240.050 * * [simplify]: iters left: 5 (256 enodes) 240.152 * * [simplify]: Extracting #0: cost 1 inf + 0 240.152 * * [simplify]: Extracting #1: cost 3 inf + 0 240.152 * * [simplify]: Extracting #2: cost 10 inf + 0 240.152 * * [simplify]: Extracting #3: cost 74 inf + 0 240.153 * * [simplify]: Extracting #4: cost 136 inf + 42 240.153 * * [simplify]: Extracting #5: cost 190 inf + 207 240.154 * * [simplify]: Extracting #6: cost 261 inf + 3821 240.156 * * [simplify]: Extracting #7: cost 236 inf + 9584 240.160 * * [simplify]: Extracting #8: cost 167 inf + 25152 240.167 * * [simplify]: Extracting #9: cost 107 inf + 43704 240.182 * * [simplify]: Extracting #10: cost 43 inf + 77716 240.225 * * [simplify]: Extracting #11: cost 3 inf + 118354 240.257 * * [simplify]: Extracting #12: cost 1 inf + 121044 240.282 * * [simplify]: Extracting #13: cost 0 inf + 123069 240.308 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) 240.308 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 240.308 * * * * [progress]: [ 585 / 5906 ] simplifiying candidate # 240.309 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 240.309 * * [simplify]: iters left: 6 (47 enodes) 240.325 * * [simplify]: iters left: 5 (228 enodes) 240.373 * * [simplify]: Extracting #0: cost 1 inf + 0 240.373 * * [simplify]: Extracting #1: cost 3 inf + 0 240.373 * * [simplify]: Extracting #2: cost 10 inf + 0 240.373 * * [simplify]: Extracting #3: cost 65 inf + 0 240.374 * * [simplify]: Extracting #4: cost 116 inf + 86 240.375 * * [simplify]: Extracting #5: cost 148 inf + 1796 240.377 * * [simplify]: Extracting #6: cost 234 inf + 2976 240.380 * * [simplify]: Extracting #7: cost 226 inf + 5545 240.388 * * [simplify]: Extracting #8: cost 139 inf + 26897 240.404 * * [simplify]: Extracting #9: cost 88 inf + 47997 240.428 * * [simplify]: Extracting #10: cost 41 inf + 65496 240.460 * * [simplify]: Extracting #11: cost 4 inf + 97808 240.490 * * [simplify]: Extracting #12: cost 1 inf + 102403 240.511 * * [simplify]: Extracting #13: cost 0 inf + 104188 240.549 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 240.549 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 240.550 * * * * [progress]: [ 586 / 5906 ] simplifiying candidate # 240.551 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 240.551 * * [simplify]: iters left: 6 (47 enodes) 240.570 * * [simplify]: iters left: 5 (231 enodes) 240.620 * * [simplify]: Extracting #0: cost 1 inf + 0 240.620 * * [simplify]: Extracting #1: cost 3 inf + 0 240.620 * * [simplify]: Extracting #2: cost 6 inf + 0 240.620 * * [simplify]: Extracting #3: cost 52 inf + 0 240.620 * * [simplify]: Extracting #4: cost 118 inf + 0 240.620 * * [simplify]: Extracting #5: cost 189 inf + 0 240.621 * * [simplify]: Extracting #6: cost 270 inf + 1097 240.623 * * [simplify]: Extracting #7: cost 239 inf + 9175 240.626 * * [simplify]: Extracting #8: cost 159 inf + 24485 240.635 * * [simplify]: Extracting #9: cost 90 inf + 44547 240.660 * * [simplify]: Extracting #10: cost 52 inf + 62253 240.685 * * [simplify]: Extracting #11: cost 5 inf + 102416 240.715 * * [simplify]: Extracting #12: cost 0 inf + 108861 240.760 * * [simplify]: Extracting #13: cost 0 inf + 108221 240.791 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 240.791 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 240.791 * * * * [progress]: [ 587 / 5906 ] simplifiying candidate # 240.792 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 240.792 * * [simplify]: iters left: 6 (48 enodes) 240.805 * * [simplify]: iters left: 5 (240 enodes) 240.881 * * [simplify]: Extracting #0: cost 1 inf + 0 240.881 * * [simplify]: Extracting #1: cost 3 inf + 0 240.881 * * [simplify]: Extracting #2: cost 6 inf + 0 240.881 * * [simplify]: Extracting #3: cost 56 inf + 0 240.882 * * [simplify]: Extracting #4: cost 141 inf + 0 240.883 * * [simplify]: Extracting #5: cost 200 inf + 248 240.885 * * [simplify]: Extracting #6: cost 253 inf + 4675 240.890 * * [simplify]: Extracting #7: cost 230 inf + 11240 240.897 * * [simplify]: Extracting #8: cost 183 inf + 18962 240.906 * * [simplify]: Extracting #9: cost 115 inf + 34508 240.916 * * [simplify]: Extracting #10: cost 59 inf + 60630 240.944 * * [simplify]: Extracting #11: cost 9 inf + 101457 240.982 * * [simplify]: Extracting #12: cost 0 inf + 109998 241.006 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))))))) 241.006 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 241.007 * * * * [progress]: [ 588 / 5906 ] simplifiying candidate # 241.008 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 241.008 * * [simplify]: iters left: 6 (48 enodes) 241.032 * * [simplify]: iters left: 5 (240 enodes) 241.107 * * [simplify]: Extracting #0: cost 1 inf + 0 241.107 * * [simplify]: Extracting #1: cost 3 inf + 0 241.107 * * [simplify]: Extracting #2: cost 6 inf + 0 241.107 * * [simplify]: Extracting #3: cost 58 inf + 0 241.108 * * [simplify]: Extracting #4: cost 139 inf + 0 241.109 * * [simplify]: Extracting #5: cost 194 inf + 332 241.111 * * [simplify]: Extracting #6: cost 250 inf + 3754 241.116 * * [simplify]: Extracting #7: cost 226 inf + 11901 241.124 * * [simplify]: Extracting #8: cost 158 inf + 23245 241.139 * * [simplify]: Extracting #9: cost 82 inf + 50309 241.170 * * [simplify]: Extracting #10: cost 14 inf + 95202 241.192 * * [simplify]: Extracting #11: cost 0 inf + 108870 241.224 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))) 241.224 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 241.224 * * * * [progress]: [ 589 / 5906 ] simplifiying candidate # 241.225 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 241.225 * * [simplify]: iters left: 6 (42 enodes) 241.236 * * [simplify]: iters left: 5 (204 enodes) 241.298 * * [simplify]: Extracting #0: cost 1 inf + 0 241.298 * * [simplify]: Extracting #1: cost 3 inf + 0 241.299 * * [simplify]: Extracting #2: cost 6 inf + 0 241.299 * * [simplify]: Extracting #3: cost 50 inf + 0 241.299 * * [simplify]: Extracting #4: cost 107 inf + 0 241.300 * * [simplify]: Extracting #5: cost 146 inf + 85 241.301 * * [simplify]: Extracting #6: cost 219 inf + 866 241.304 * * [simplify]: Extracting #7: cost 214 inf + 3264 241.309 * * [simplify]: Extracting #8: cost 148 inf + 16175 241.322 * * [simplify]: Extracting #9: cost 75 inf + 38530 241.346 * * [simplify]: Extracting #10: cost 29 inf + 65229 241.383 * * [simplify]: Extracting #11: cost 1 inf + 86664 241.407 * * [simplify]: Extracting #12: cost 0 inf + 87689 241.431 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) 241.432 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 241.433 * * * * [progress]: [ 590 / 5906 ] simplifiying candidate # 241.434 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 241.434 * * [simplify]: iters left: 6 (47 enodes) 241.451 * * [simplify]: iters left: 5 (232 enodes) 241.523 * * [simplify]: Extracting #0: cost 1 inf + 0 241.523 * * [simplify]: Extracting #1: cost 3 inf + 0 241.523 * * [simplify]: Extracting #2: cost 10 inf + 0 241.524 * * [simplify]: Extracting #3: cost 70 inf + 0 241.524 * * [simplify]: Extracting #4: cost 124 inf + 42 241.525 * * [simplify]: Extracting #5: cost 167 inf + 290 241.527 * * [simplify]: Extracting #6: cost 237 inf + 2644 241.530 * * [simplify]: Extracting #7: cost 222 inf + 8424 241.538 * * [simplify]: Extracting #8: cost 130 inf + 27086 241.556 * * [simplify]: Extracting #9: cost 56 inf + 57762 241.582 * * [simplify]: Extracting #10: cost 23 inf + 82805 241.603 * * [simplify]: Extracting #11: cost 3 inf + 98665 241.632 * * [simplify]: Extracting #12: cost 0 inf + 102740 241.655 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 241.655 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 241.655 * * * * [progress]: [ 591 / 5906 ] simplifiying candidate # 241.656 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 241.656 * * [simplify]: iters left: 6 (42 enodes) 241.677 * * [simplify]: iters left: 5 (204 enodes) 241.728 * * [simplify]: Extracting #0: cost 1 inf + 0 241.728 * * [simplify]: Extracting #1: cost 3 inf + 0 241.728 * * [simplify]: Extracting #2: cost 10 inf + 0 241.729 * * [simplify]: Extracting #3: cost 62 inf + 0 241.729 * * [simplify]: Extracting #4: cost 105 inf + 44 241.730 * * [simplify]: Extracting #5: cost 131 inf + 1308 241.732 * * [simplify]: Extracting #6: cost 203 inf + 2932 241.734 * * [simplify]: Extracting #7: cost 212 inf + 3344 241.738 * * [simplify]: Extracting #8: cost 176 inf + 7935 241.746 * * [simplify]: Extracting #9: cost 106 inf + 25133 241.770 * * [simplify]: Extracting #10: cost 27 inf + 63598 241.805 * * [simplify]: Extracting #11: cost 1 inf + 84154 241.840 * * [simplify]: Extracting #12: cost 0 inf + 85699 241.875 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))) 241.875 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 241.876 * * * * [progress]: [ 592 / 5906 ] simplifiying candidate # 241.877 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 241.878 * * [simplify]: iters left: 6 (47 enodes) 241.903 * * [simplify]: iters left: 5 (232 enodes) 242.000 * * [simplify]: Extracting #0: cost 1 inf + 0 242.000 * * [simplify]: Extracting #1: cost 3 inf + 0 242.000 * * [simplify]: Extracting #2: cost 10 inf + 0 242.000 * * [simplify]: Extracting #3: cost 70 inf + 0 242.001 * * [simplify]: Extracting #4: cost 124 inf + 42 242.002 * * [simplify]: Extracting #5: cost 166 inf + 332 242.004 * * [simplify]: Extracting #6: cost 232 inf + 3494 242.007 * * [simplify]: Extracting #7: cost 218 inf + 9643 242.016 * * [simplify]: Extracting #8: cost 128 inf + 29075 242.034 * * [simplify]: Extracting #9: cost 56 inf + 58082 242.063 * * [simplify]: Extracting #10: cost 23 inf + 83765 242.104 * * [simplify]: Extracting #11: cost 3 inf + 99625 242.146 * * [simplify]: Extracting #12: cost 0 inf + 103700 242.186 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 242.186 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 242.187 * * * * [progress]: [ 593 / 5906 ] simplifiying candidate # 242.188 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 242.188 * * [simplify]: iters left: 6 (42 enodes) 242.206 * * [simplify]: iters left: 5 (204 enodes) 242.253 * * [simplify]: Extracting #0: cost 1 inf + 0 242.253 * * [simplify]: Extracting #1: cost 3 inf + 0 242.253 * * [simplify]: Extracting #2: cost 10 inf + 0 242.253 * * [simplify]: Extracting #3: cost 61 inf + 0 242.254 * * [simplify]: Extracting #4: cost 105 inf + 44 242.255 * * [simplify]: Extracting #5: cost 135 inf + 820 242.257 * * [simplify]: Extracting #6: cost 203 inf + 2932 242.259 * * [simplify]: Extracting #7: cost 211 inf + 3425 242.263 * * [simplify]: Extracting #8: cost 171 inf + 8902 242.271 * * [simplify]: Extracting #9: cost 107 inf + 25091 242.292 * * [simplify]: Extracting #10: cost 28 inf + 63355 242.325 * * [simplify]: Extracting #11: cost 1 inf + 84714 242.359 * * [simplify]: Extracting #12: cost 0 inf + 86259 242.384 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))) 242.384 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 242.385 * * * * [progress]: [ 594 / 5906 ] simplifiying candidate # 242.385 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 242.385 * * [simplify]: iters left: 6 (43 enodes) 242.399 * * [simplify]: iters left: 5 (202 enodes) 242.478 * * [simplify]: Extracting #0: cost 1 inf + 0 242.478 * * [simplify]: Extracting #1: cost 3 inf + 0 242.478 * * [simplify]: Extracting #2: cost 6 inf + 0 242.479 * * [simplify]: Extracting #3: cost 44 inf + 0 242.479 * * [simplify]: Extracting #4: cost 103 inf + 0 242.480 * * [simplify]: Extracting #5: cost 160 inf + 1 242.481 * * [simplify]: Extracting #6: cost 222 inf + 44 242.483 * * [simplify]: Extracting #7: cost 217 inf + 3404 242.488 * * [simplify]: Extracting #8: cost 134 inf + 17038 242.498 * * [simplify]: Extracting #9: cost 65 inf + 36816 242.524 * * [simplify]: Extracting #10: cost 23 inf + 68316 242.541 * * [simplify]: Extracting #11: cost 1 inf + 82997 242.572 * * [simplify]: Extracting #12: cost 0 inf + 83585 242.604 * * [simplify]: Extracting #13: cost 0 inf + 83454 242.639 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 242.639 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 242.640 * * * * [progress]: [ 595 / 5906 ] simplifiying candidate # 242.640 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 242.641 * * [simplify]: iters left: 6 (44 enodes) 242.665 * * [simplify]: iters left: 5 (211 enodes) 242.726 * * [simplify]: Extracting #0: cost 1 inf + 0 242.726 * * [simplify]: Extracting #1: cost 3 inf + 0 242.726 * * [simplify]: Extracting #2: cost 6 inf + 0 242.726 * * [simplify]: Extracting #3: cost 48 inf + 0 242.726 * * [simplify]: Extracting #4: cost 126 inf + 0 242.727 * * [simplify]: Extracting #5: cost 173 inf + 127 242.728 * * [simplify]: Extracting #6: cost 215 inf + 2336 242.729 * * [simplify]: Extracting #7: cost 182 inf + 10396 242.733 * * [simplify]: Extracting #8: cost 109 inf + 24493 242.742 * * [simplify]: Extracting #9: cost 46 inf + 50871 242.765 * * [simplify]: Extracting #10: cost 6 inf + 85174 242.788 * * [simplify]: Extracting #11: cost 0 inf + 86784 242.811 * * [simplify]: Extracting #12: cost 0 inf + 86391 242.845 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 242.845 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 242.846 * * * * [progress]: [ 596 / 5906 ] simplifiying candidate # 242.846 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 242.847 * * [simplify]: iters left: 6 (44 enodes) 242.869 * * [simplify]: iters left: 5 (211 enodes) 242.943 * * [simplify]: Extracting #0: cost 1 inf + 0 242.943 * * [simplify]: Extracting #1: cost 3 inf + 0 242.943 * * [simplify]: Extracting #2: cost 6 inf + 0 242.943 * * [simplify]: Extracting #3: cost 50 inf + 0 242.943 * * [simplify]: Extracting #4: cost 124 inf + 0 242.944 * * [simplify]: Extracting #5: cost 169 inf + 127 242.945 * * [simplify]: Extracting #6: cost 205 inf + 3187 242.947 * * [simplify]: Extracting #7: cost 174 inf + 10892 242.950 * * [simplify]: Extracting #8: cost 107 inf + 24731 242.958 * * [simplify]: Extracting #9: cost 48 inf + 47021 242.982 * * [simplify]: Extracting #10: cost 10 inf + 77713 243.011 * * [simplify]: Extracting #11: cost 0 inf + 84100 243.029 * * [simplify]: Extracting #12: cost 0 inf + 83143 243.049 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 243.049 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 243.050 * * * * [progress]: [ 597 / 5906 ] simplifiying candidate # 243.051 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 243.051 * * [simplify]: iters left: 6 (38 enodes) 243.071 * * [simplify]: iters left: 5 (175 enodes) 243.136 * * [simplify]: iters left: 4 (459 enodes) 243.385 * * [simplify]: Extracting #0: cost 1 inf + 0 243.385 * * [simplify]: Extracting #1: cost 3 inf + 0 243.385 * * [simplify]: Extracting #2: cost 16 inf + 0 243.386 * * [simplify]: Extracting #3: cost 131 inf + 0 243.388 * * [simplify]: Extracting #4: cost 344 inf + 86 243.397 * * [simplify]: Extracting #5: cost 415 inf + 6221 243.405 * * [simplify]: Extracting #6: cost 403 inf + 17235 243.427 * * [simplify]: Extracting #7: cost 258 inf + 63137 243.483 * * [simplify]: Extracting #8: cost 79 inf + 144108 243.538 * * [simplify]: Extracting #9: cost 7 inf + 180219 243.600 * * [simplify]: Extracting #10: cost 0 inf + 183676 243.678 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1))))) 243.679 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 243.679 * * * * [progress]: [ 598 / 5906 ] simplifiying candidate # 243.680 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 243.680 * * [simplify]: iters left: 6 (43 enodes) 243.703 * * [simplify]: iters left: 5 (203 enodes) 243.772 * * [simplify]: Extracting #0: cost 1 inf + 0 243.772 * * [simplify]: Extracting #1: cost 3 inf + 0 243.772 * * [simplify]: Extracting #2: cost 10 inf + 0 243.772 * * [simplify]: Extracting #3: cost 58 inf + 0 243.772 * * [simplify]: Extracting #4: cost 107 inf + 1 243.773 * * [simplify]: Extracting #5: cost 137 inf + 249 243.773 * * [simplify]: Extracting #6: cost 185 inf + 1614 243.775 * * [simplify]: Extracting #7: cost 171 inf + 6563 243.777 * * [simplify]: Extracting #8: cost 119 inf + 15103 243.782 * * [simplify]: Extracting #9: cost 69 inf + 33567 243.794 * * [simplify]: Extracting #10: cost 8 inf + 73667 243.818 * * [simplify]: Extracting #11: cost 0 inf + 77080 243.834 * * [simplify]: Extracting #12: cost 0 inf + 76818 243.851 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))) 243.851 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 243.852 * * * * [progress]: [ 599 / 5906 ] simplifiying candidate # 243.852 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 243.853 * * [simplify]: iters left: 6 (38 enodes) 243.873 * * [simplify]: iters left: 5 (175 enodes) 243.912 * * [simplify]: iters left: 4 (440 enodes) 244.124 * * [simplify]: Extracting #0: cost 1 inf + 0 244.124 * * [simplify]: Extracting #1: cost 3 inf + 0 244.124 * * [simplify]: Extracting #2: cost 13 inf + 0 244.125 * * [simplify]: Extracting #3: cost 90 inf + 0 244.126 * * [simplify]: Extracting #4: cost 271 inf + 86 244.129 * * [simplify]: Extracting #5: cost 398 inf + 2287 244.134 * * [simplify]: Extracting #6: cost 378 inf + 15542 244.143 * * [simplify]: Extracting #7: cost 259 inf + 49903 244.165 * * [simplify]: Extracting #8: cost 79 inf + 123141 244.212 * * [simplify]: Extracting #9: cost 2 inf + 158890 244.277 * * [simplify]: Extracting #10: cost 0 inf + 159767 244.343 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) 244.343 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 244.343 * * * * [progress]: [ 600 / 5906 ] simplifiying candidate # 244.344 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 244.345 * * [simplify]: iters left: 6 (43 enodes) 244.367 * * [simplify]: iters left: 5 (203 enodes) 244.420 * * [simplify]: Extracting #0: cost 1 inf + 0 244.420 * * [simplify]: Extracting #1: cost 3 inf + 0 244.420 * * [simplify]: Extracting #2: cost 10 inf + 0 244.420 * * [simplify]: Extracting #3: cost 58 inf + 0 244.420 * * [simplify]: Extracting #4: cost 107 inf + 1 244.421 * * [simplify]: Extracting #5: cost 137 inf + 380 244.422 * * [simplify]: Extracting #6: cost 183 inf + 2672 244.425 * * [simplify]: Extracting #7: cost 170 inf + 6813 244.429 * * [simplify]: Extracting #8: cost 116 inf + 15296 244.439 * * [simplify]: Extracting #9: cost 66 inf + 36292 244.461 * * [simplify]: Extracting #10: cost 9 inf + 72380 244.493 * * [simplify]: Extracting #11: cost 0 inf + 78011 244.520 * * [simplify]: Extracting #12: cost 0 inf + 77618 244.536 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))) 244.536 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 244.536 * * * * [progress]: [ 601 / 5906 ] simplifiying candidate # 244.537 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 244.537 * * [simplify]: iters left: 6 (38 enodes) 244.547 * * [simplify]: iters left: 5 (175 enodes) 244.590 * * [simplify]: iters left: 4 (440 enodes) 245.343 * * [simplify]: Extracting #0: cost 1 inf + 0 245.343 * * [simplify]: Extracting #1: cost 3 inf + 0 245.343 * * [simplify]: Extracting #2: cost 13 inf + 0 245.343 * * [simplify]: Extracting #3: cost 87 inf + 0 245.344 * * [simplify]: Extracting #4: cost 278 inf + 44 245.345 * * [simplify]: Extracting #5: cost 409 inf + 1272 245.348 * * [simplify]: Extracting #6: cost 387 inf + 13196 245.357 * * [simplify]: Extracting #7: cost 257 inf + 48967 245.386 * * [simplify]: Extracting #8: cost 82 inf + 121002 245.424 * * [simplify]: Extracting #9: cost 4 inf + 159644 245.466 * * [simplify]: Extracting #10: cost 0 inf + 161217 245.513 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) 245.513 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 245.514 * * * * [progress]: [ 602 / 5906 ] simplifiying candidate # 245.515 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 245.515 * * [simplify]: iters left: 6 (47 enodes) 245.540 * * [simplify]: iters left: 5 (226 enodes) 245.615 * * [simplify]: Extracting #0: cost 1 inf + 0 245.616 * * [simplify]: Extracting #1: cost 3 inf + 0 245.616 * * [simplify]: Extracting #2: cost 6 inf + 0 245.616 * * [simplify]: Extracting #3: cost 48 inf + 0 245.616 * * [simplify]: Extracting #4: cost 116 inf + 0 245.616 * * [simplify]: Extracting #5: cost 172 inf + 0 245.617 * * [simplify]: Extracting #6: cost 242 inf + 169 245.618 * * [simplify]: Extracting #7: cost 215 inf + 5556 245.621 * * [simplify]: Extracting #8: cost 138 inf + 18986 245.628 * * [simplify]: Extracting #9: cost 91 inf + 33238 245.644 * * [simplify]: Extracting #10: cost 56 inf + 48225 245.668 * * [simplify]: Extracting #11: cost 34 inf + 62747 245.701 * * [simplify]: Extracting #12: cost 3 inf + 88842 245.739 * * [simplify]: Extracting #13: cost 1 inf + 91812 245.762 * * [simplify]: Extracting #14: cost 0 inf + 93317 245.782 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 245.782 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 245.783 * * * * [progress]: [ 603 / 5906 ] simplifiying candidate # 245.783 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 245.784 * * [simplify]: iters left: 6 (48 enodes) 245.804 * * [simplify]: iters left: 5 (235 enodes) 245.868 * * [simplify]: Extracting #0: cost 1 inf + 0 245.868 * * [simplify]: Extracting #1: cost 3 inf + 0 245.868 * * [simplify]: Extracting #2: cost 6 inf + 0 245.869 * * [simplify]: Extracting #3: cost 52 inf + 0 245.869 * * [simplify]: Extracting #4: cost 139 inf + 0 245.870 * * [simplify]: Extracting #5: cost 182 inf + 290 245.872 * * [simplify]: Extracting #6: cost 213 inf + 5129 245.877 * * [simplify]: Extracting #7: cost 192 inf + 13001 245.886 * * [simplify]: Extracting #8: cost 129 inf + 24607 245.901 * * [simplify]: Extracting #9: cost 64 inf + 50288 245.938 * * [simplify]: Extracting #10: cost 9 inf + 90432 245.967 * * [simplify]: Extracting #11: cost 0 inf + 95694 245.987 * * [simplify]: Extracting #12: cost 0 inf + 95094 246.017 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 246.017 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 246.018 * * * * [progress]: [ 604 / 5906 ] simplifiying candidate # 246.019 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 246.019 * * [simplify]: iters left: 6 (48 enodes) 246.034 * * [simplify]: iters left: 5 (235 enodes) 246.094 * * [simplify]: Extracting #0: cost 1 inf + 0 246.094 * * [simplify]: Extracting #1: cost 3 inf + 0 246.094 * * [simplify]: Extracting #2: cost 6 inf + 0 246.094 * * [simplify]: Extracting #3: cost 54 inf + 0 246.095 * * [simplify]: Extracting #4: cost 137 inf + 0 246.095 * * [simplify]: Extracting #5: cost 178 inf + 290 246.096 * * [simplify]: Extracting #6: cost 213 inf + 4962 246.099 * * [simplify]: Extracting #7: cost 196 inf + 10974 246.105 * * [simplify]: Extracting #8: cost 130 inf + 24631 246.119 * * [simplify]: Extracting #9: cost 69 inf + 46776 246.131 * * [simplify]: Extracting #10: cost 33 inf + 68205 246.171 * * [simplify]: Extracting #11: cost 1 inf + 93141 246.209 * * [simplify]: Extracting #12: cost 0 inf + 93886 246.246 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2))))))) 246.246 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 246.247 * * * * [progress]: [ 605 / 5906 ] simplifiying candidate # 246.247 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 246.248 * * [simplify]: iters left: 6 (42 enodes) 246.270 * * [simplify]: iters left: 5 (199 enodes) 246.351 * * [simplify]: Extracting #0: cost 1 inf + 0 246.351 * * [simplify]: Extracting #1: cost 3 inf + 0 246.351 * * [simplify]: Extracting #2: cost 6 inf + 0 246.352 * * [simplify]: Extracting #3: cost 46 inf + 0 246.352 * * [simplify]: Extracting #4: cost 96 inf + 0 246.352 * * [simplify]: Extracting #5: cost 120 inf + 45 246.354 * * [simplify]: Extracting #6: cost 175 inf + 1112 246.356 * * [simplify]: Extracting #7: cost 164 inf + 5403 246.361 * * [simplify]: Extracting #8: cost 111 inf + 14235 246.371 * * [simplify]: Extracting #9: cost 66 inf + 32652 246.394 * * [simplify]: Extracting #10: cost 12 inf + 67909 246.420 * * [simplify]: Extracting #11: cost 0 inf + 69947 246.435 * * [simplify]: Extracting #12: cost 0 inf + 68688 246.449 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1)))))) 246.449 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 246.450 * * * * [progress]: [ 606 / 5906 ] simplifiying candidate # 246.450 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 246.450 * * [simplify]: iters left: 6 (47 enodes) 246.466 * * [simplify]: iters left: 5 (227 enodes) 246.515 * * [simplify]: Extracting #0: cost 1 inf + 0 246.515 * * [simplify]: Extracting #1: cost 3 inf + 0 246.516 * * [simplify]: Extracting #2: cost 10 inf + 0 246.516 * * [simplify]: Extracting #3: cost 66 inf + 0 246.516 * * [simplify]: Extracting #4: cost 118 inf + 42 246.517 * * [simplify]: Extracting #5: cost 144 inf + 291 246.519 * * [simplify]: Extracting #6: cost 197 inf + 2970 246.522 * * [simplify]: Extracting #7: cost 192 inf + 6297 246.528 * * [simplify]: Extracting #8: cost 126 inf + 19372 246.538 * * [simplify]: Extracting #9: cost 82 inf + 31988 246.555 * * [simplify]: Extracting #10: cost 39 inf + 57341 246.570 * * [simplify]: Extracting #11: cost 3 inf + 83130 246.593 * * [simplify]: Extracting #12: cost 1 inf + 85340 246.628 * * [simplify]: Extracting #13: cost 0 inf + 86845 246.664 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 246.664 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 246.665 * * * * [progress]: [ 607 / 5906 ] simplifiying candidate # 246.666 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 246.666 * * [simplify]: iters left: 6 (42 enodes) 246.683 * * [simplify]: iters left: 5 (200 enodes) 246.722 * * [simplify]: Extracting #0: cost 1 inf + 0 246.722 * * [simplify]: Extracting #1: cost 3 inf + 0 246.722 * * [simplify]: Extracting #2: cost 10 inf + 0 246.723 * * [simplify]: Extracting #3: cost 51 inf + 0 246.723 * * [simplify]: Extracting #4: cost 95 inf + 86 246.723 * * [simplify]: Extracting #5: cost 110 inf + 784 246.724 * * [simplify]: Extracting #6: cost 167 inf + 2528 246.726 * * [simplify]: Extracting #7: cost 167 inf + 4265 246.733 * * [simplify]: Extracting #8: cost 83 inf + 31013 246.752 * * [simplify]: Extracting #9: cost 20 inf + 64823 246.775 * * [simplify]: Extracting #10: cost 0 inf + 70885 246.802 * * [simplify]: Extracting #11: cost 0 inf + 67393 246.831 * * [simplify]: Extracting #12: cost 0 inf + 67262 246.849 * [simplify]: Simplified to (sqrt (+ (* (- phi1 phi2) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 246.849 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- phi1 phi2) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 246.850 * * * * [progress]: [ 608 / 5906 ] simplifiying candidate # 246.850 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 246.851 * * [simplify]: iters left: 6 (47 enodes) 246.863 * * [simplify]: iters left: 5 (227 enodes) 246.947 * * [simplify]: Extracting #0: cost 1 inf + 0 246.947 * * [simplify]: Extracting #1: cost 3 inf + 0 246.947 * * [simplify]: Extracting #2: cost 10 inf + 0 246.947 * * [simplify]: Extracting #3: cost 66 inf + 0 246.947 * * [simplify]: Extracting #4: cost 118 inf + 42 246.948 * * [simplify]: Extracting #5: cost 143 inf + 333 246.949 * * [simplify]: Extracting #6: cost 193 inf + 3818 246.950 * * [simplify]: Extracting #7: cost 192 inf + 6297 246.953 * * [simplify]: Extracting #8: cost 121 inf + 20221 246.960 * * [simplify]: Extracting #9: cost 60 inf + 43536 246.970 * * [simplify]: Extracting #10: cost 30 inf + 63655 246.997 * * [simplify]: Extracting #11: cost 4 inf + 82505 247.031 * * [simplify]: Extracting #12: cost 1 inf + 86140 247.065 * * [simplify]: Extracting #13: cost 0 inf + 87645 247.090 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 247.090 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 247.091 * * * * [progress]: [ 609 / 5906 ] simplifiying candidate # 247.091 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 247.092 * * [simplify]: iters left: 6 (42 enodes) 247.103 * * [simplify]: iters left: 5 (200 enodes) 247.154 * * [simplify]: Extracting #0: cost 1 inf + 0 247.154 * * [simplify]: Extracting #1: cost 3 inf + 0 247.154 * * [simplify]: Extracting #2: cost 10 inf + 0 247.154 * * [simplify]: Extracting #3: cost 50 inf + 0 247.155 * * [simplify]: Extracting #4: cost 96 inf + 44 247.156 * * [simplify]: Extracting #5: cost 110 inf + 784 247.157 * * [simplify]: Extracting #6: cost 166 inf + 2609 247.160 * * [simplify]: Extracting #7: cost 167 inf + 4265 247.167 * * [simplify]: Extracting #8: cost 90 inf + 29646 247.186 * * [simplify]: Extracting #9: cost 20 inf + 65114 247.213 * * [simplify]: Extracting #10: cost 0 inf + 71205 247.240 * * [simplify]: Extracting #11: cost 0 inf + 67713 247.267 * * [simplify]: Extracting #12: cost 0 inf + 67582 247.294 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 247.294 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 247.295 * * * * [progress]: [ 610 / 5906 ] simplifiying candidate # 247.295 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 247.296 * * [simplify]: iters left: 6 (47 enodes) 247.319 * * [simplify]: iters left: 5 (230 enodes) 247.415 * * [simplify]: Extracting #0: cost 1 inf + 0 247.415 * * [simplify]: Extracting #1: cost 3 inf + 0 247.415 * * [simplify]: Extracting #2: cost 6 inf + 0 247.415 * * [simplify]: Extracting #3: cost 52 inf + 0 247.416 * * [simplify]: Extracting #4: cost 118 inf + 0 247.417 * * [simplify]: Extracting #5: cost 190 inf + 0 247.418 * * [simplify]: Extracting #6: cost 259 inf + 804 247.420 * * [simplify]: Extracting #7: cost 227 inf + 8379 247.426 * * [simplify]: Extracting #8: cost 162 inf + 18170 247.437 * * [simplify]: Extracting #9: cost 96 inf + 37922 247.460 * * [simplify]: Extracting #10: cost 33 inf + 72337 247.493 * * [simplify]: Extracting #11: cost 4 inf + 100216 247.518 * * [simplify]: Extracting #12: cost 0 inf + 106436 247.549 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) 247.549 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 247.550 * * * * [progress]: [ 611 / 5906 ] simplifiying candidate # 247.551 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 247.551 * * [simplify]: iters left: 6 (48 enodes) 247.576 * * [simplify]: iters left: 5 (239 enodes) 247.634 * * [simplify]: Extracting #0: cost 1 inf + 0 247.634 * * [simplify]: Extracting #1: cost 3 inf + 0 247.634 * * [simplify]: Extracting #2: cost 6 inf + 0 247.635 * * [simplify]: Extracting #3: cost 56 inf + 0 247.635 * * [simplify]: Extracting #4: cost 141 inf + 0 247.636 * * [simplify]: Extracting #5: cost 202 inf + 127 247.638 * * [simplify]: Extracting #6: cost 242 inf + 4926 247.642 * * [simplify]: Extracting #7: cost 215 inf + 11260 247.650 * * [simplify]: Extracting #8: cost 141 inf + 26771 247.661 * * [simplify]: Extracting #9: cost 78 inf + 48056 247.680 * * [simplify]: Extracting #10: cost 11 inf + 96500 247.710 * * [simplify]: Extracting #11: cost 0 inf + 105693 247.753 * * [simplify]: Extracting #12: cost 0 inf + 105293 247.794 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))) 247.795 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 247.796 * * * * [progress]: [ 612 / 5906 ] simplifiying candidate # 247.797 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 247.797 * * [simplify]: iters left: 6 (48 enodes) 247.822 * * [simplify]: iters left: 5 (239 enodes) 247.914 * * [simplify]: Extracting #0: cost 1 inf + 0 247.914 * * [simplify]: Extracting #1: cost 3 inf + 0 247.914 * * [simplify]: Extracting #2: cost 6 inf + 0 247.914 * * [simplify]: Extracting #3: cost 58 inf + 0 247.914 * * [simplify]: Extracting #4: cost 139 inf + 0 247.915 * * [simplify]: Extracting #5: cost 196 inf + 210 247.916 * * [simplify]: Extracting #6: cost 233 inf + 5123 247.918 * * [simplify]: Extracting #7: cost 214 inf + 10790 247.922 * * [simplify]: Extracting #8: cost 140 inf + 28047 247.936 * * [simplify]: Extracting #9: cost 72 inf + 51379 247.955 * * [simplify]: Extracting #10: cost 7 inf + 99292 247.983 * * [simplify]: Extracting #11: cost 0 inf + 104805 248.012 * * [simplify]: Extracting #12: cost 0 inf + 104525 248.037 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))) 248.037 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 248.038 * * * * [progress]: [ 613 / 5906 ] simplifiying candidate # 248.039 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 248.039 * * [simplify]: iters left: 6 (42 enodes) 248.051 * * [simplify]: iters left: 5 (203 enodes) 248.106 * * [simplify]: Extracting #0: cost 1 inf + 0 248.106 * * [simplify]: Extracting #1: cost 3 inf + 0 248.106 * * [simplify]: Extracting #2: cost 6 inf + 0 248.107 * * [simplify]: Extracting #3: cost 50 inf + 0 248.107 * * [simplify]: Extracting #4: cost 107 inf + 0 248.108 * * [simplify]: Extracting #5: cost 147 inf + 85 248.109 * * [simplify]: Extracting #6: cost 204 inf + 1191 248.115 * * [simplify]: Extracting #7: cost 195 inf + 3671 248.120 * * [simplify]: Extracting #8: cost 134 inf + 14629 248.125 * * [simplify]: Extracting #9: cost 78 inf + 30645 248.135 * * [simplify]: Extracting #10: cost 31 inf + 56224 248.157 * * [simplify]: Extracting #11: cost 2 inf + 78734 248.185 * * [simplify]: Extracting #12: cost 1 inf + 80279 248.202 * * [simplify]: Extracting #13: cost 0 inf + 81824 248.228 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))))) 248.228 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 248.229 * * * * [progress]: [ 614 / 5906 ] simplifiying candidate # 248.230 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 248.230 * * [simplify]: iters left: 6 (47 enodes) 248.257 * * [simplify]: iters left: 5 (231 enodes) 248.319 * * [simplify]: Extracting #0: cost 1 inf + 0 248.319 * * [simplify]: Extracting #1: cost 3 inf + 0 248.319 * * [simplify]: Extracting #2: cost 10 inf + 0 248.319 * * [simplify]: Extracting #3: cost 70 inf + 0 248.320 * * [simplify]: Extracting #4: cost 124 inf + 42 248.321 * * [simplify]: Extracting #5: cost 168 inf + 290 248.323 * * [simplify]: Extracting #6: cost 223 inf + 2445 248.327 * * [simplify]: Extracting #7: cost 201 inf + 8577 248.334 * * [simplify]: Extracting #8: cost 123 inf + 22470 248.350 * * [simplify]: Extracting #9: cost 50 inf + 53803 248.377 * * [simplify]: Extracting #10: cost 25 inf + 72850 248.412 * * [simplify]: Extracting #11: cost 0 inf + 96595 248.441 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 248.441 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 248.441 * * * * [progress]: [ 615 / 5906 ] simplifiying candidate # 248.442 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 248.442 * * [simplify]: iters left: 6 (42 enodes) 248.452 * * [simplify]: iters left: 5 (203 enodes) 248.520 * * [simplify]: Extracting #0: cost 1 inf + 0 248.520 * * [simplify]: Extracting #1: cost 3 inf + 0 248.520 * * [simplify]: Extracting #2: cost 10 inf + 0 248.520 * * [simplify]: Extracting #3: cost 62 inf + 0 248.520 * * [simplify]: Extracting #4: cost 104 inf + 86 248.521 * * [simplify]: Extracting #5: cost 127 inf + 1918 248.522 * * [simplify]: Extracting #6: cost 190 inf + 2932 248.523 * * [simplify]: Extracting #7: cost 193 inf + 3790 248.526 * * [simplify]: Extracting #8: cost 121 inf + 17991 248.532 * * [simplify]: Extracting #9: cost 74 inf + 33321 248.545 * * [simplify]: Extracting #10: cost 17 inf + 66164 248.570 * * [simplify]: Extracting #11: cost 1 inf + 78649 248.587 * * [simplify]: Extracting #12: cost 0 inf + 80194 248.617 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1))))) 248.617 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 248.618 * * * * [progress]: [ 616 / 5906 ] simplifiying candidate # 248.619 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 248.619 * * [simplify]: iters left: 6 (47 enodes) 248.632 * * [simplify]: iters left: 5 (231 enodes) 248.702 * * [simplify]: Extracting #0: cost 1 inf + 0 248.703 * * [simplify]: Extracting #1: cost 3 inf + 0 248.703 * * [simplify]: Extracting #2: cost 10 inf + 0 248.703 * * [simplify]: Extracting #3: cost 70 inf + 0 248.703 * * [simplify]: Extracting #4: cost 124 inf + 42 248.704 * * [simplify]: Extracting #5: cost 167 inf + 332 248.706 * * [simplify]: Extracting #6: cost 218 inf + 3455 248.710 * * [simplify]: Extracting #7: cost 201 inf + 8577 248.720 * * [simplify]: Extracting #8: cost 138 inf + 17743 248.732 * * [simplify]: Extracting #9: cost 92 inf + 37121 248.752 * * [simplify]: Extracting #10: cost 40 inf + 60515 248.777 * * [simplify]: Extracting #11: cost 25 inf + 73810 248.805 * * [simplify]: Extracting #12: cost 0 inf + 97555 248.825 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 248.825 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 248.825 * * * * [progress]: [ 617 / 5906 ] simplifiying candidate # 248.826 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 248.826 * * [simplify]: iters left: 6 (42 enodes) 248.845 * * [simplify]: iters left: 5 (203 enodes) 248.894 * * [simplify]: Extracting #0: cost 1 inf + 0 248.894 * * [simplify]: Extracting #1: cost 3 inf + 0 248.894 * * [simplify]: Extracting #2: cost 10 inf + 0 248.894 * * [simplify]: Extracting #3: cost 61 inf + 0 248.894 * * [simplify]: Extracting #4: cost 105 inf + 44 248.895 * * [simplify]: Extracting #5: cost 132 inf + 1228 248.896 * * [simplify]: Extracting #6: cost 191 inf + 2770 248.898 * * [simplify]: Extracting #7: cost 193 inf + 3790 248.903 * * [simplify]: Extracting #8: cost 124 inf + 15972 248.913 * * [simplify]: Extracting #9: cost 80 inf + 29491 248.931 * * [simplify]: Extracting #10: cost 27 inf + 57933 248.951 * * [simplify]: Extracting #11: cost 1 inf + 78289 248.969 * * [simplify]: Extracting #12: cost 0 inf + 79794 248.985 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ phi2 phi1))))) 248.986 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 248.986 * * * * [progress]: [ 618 / 5906 ] simplifiying candidate # 248.986 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 248.987 * * [simplify]: iters left: 6 (48 enodes) 249.009 * * [simplify]: iters left: 5 (228 enodes) 249.098 * * [simplify]: Extracting #0: cost 1 inf + 0 249.098 * * [simplify]: Extracting #1: cost 3 inf + 0 249.098 * * [simplify]: Extracting #2: cost 6 inf + 0 249.098 * * [simplify]: Extracting #3: cost 52 inf + 0 249.099 * * [simplify]: Extracting #4: cost 118 inf + 0 249.099 * * [simplify]: Extracting #5: cost 190 inf + 0 249.100 * * [simplify]: Extracting #6: cost 255 inf + 2444 249.101 * * [simplify]: Extracting #7: cost 221 inf + 9063 249.105 * * [simplify]: Extracting #8: cost 131 inf + 25768 249.112 * * [simplify]: Extracting #9: cost 74 inf + 44071 249.140 * * [simplify]: Extracting #10: cost 25 inf + 82548 249.178 * * [simplify]: Extracting #11: cost 1 inf + 105492 249.207 * * [simplify]: Extracting #12: cost 0 inf + 106176 249.237 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) 249.237 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 249.238 * * * * [progress]: [ 619 / 5906 ] simplifiying candidate # 249.238 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 249.238 * * [simplify]: iters left: 6 (49 enodes) 249.250 * * [simplify]: iters left: 5 (237 enodes) 249.306 * * [simplify]: Extracting #0: cost 1 inf + 0 249.306 * * [simplify]: Extracting #1: cost 3 inf + 0 249.306 * * [simplify]: Extracting #2: cost 6 inf + 0 249.306 * * [simplify]: Extracting #3: cost 56 inf + 0 249.306 * * [simplify]: Extracting #4: cost 141 inf + 0 249.307 * * [simplify]: Extracting #5: cost 201 inf + 249 249.310 * * [simplify]: Extracting #6: cost 234 inf + 5687 249.313 * * [simplify]: Extracting #7: cost 207 inf + 12055 249.316 * * [simplify]: Extracting #8: cost 159 inf + 18098 249.325 * * [simplify]: Extracting #9: cost 113 inf + 32212 249.339 * * [simplify]: Extracting #10: cost 62 inf + 55123 249.352 * * [simplify]: Extracting #11: cost 34 inf + 74444 249.371 * * [simplify]: Extracting #12: cost 3 inf + 106198 249.392 * * [simplify]: Extracting #13: cost 0 inf + 110233 249.416 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 249.416 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 249.416 * * * * [progress]: [ 620 / 5906 ] simplifiying candidate # 249.417 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 249.417 * * [simplify]: iters left: 6 (49 enodes) 249.442 * * [simplify]: iters left: 5 (237 enodes) 249.513 * * [simplify]: Extracting #0: cost 1 inf + 0 249.513 * * [simplify]: Extracting #1: cost 3 inf + 0 249.513 * * [simplify]: Extracting #2: cost 6 inf + 0 249.513 * * [simplify]: Extracting #3: cost 58 inf + 0 249.513 * * [simplify]: Extracting #4: cost 139 inf + 0 249.514 * * [simplify]: Extracting #5: cost 198 inf + 127 249.518 * * [simplify]: Extracting #6: cost 232 inf + 5403 249.521 * * [simplify]: Extracting #7: cost 201 inf + 11946 249.524 * * [simplify]: Extracting #8: cost 155 inf + 19831 249.529 * * [simplify]: Extracting #9: cost 105 inf + 33481 249.539 * * [simplify]: Extracting #10: cost 60 inf + 54208 249.559 * * [simplify]: Extracting #11: cost 7 inf + 100170 249.592 * * [simplify]: Extracting #12: cost 0 inf + 107905 249.614 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 249.614 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 249.615 * * * * [progress]: [ 621 / 5906 ] simplifiying candidate # 249.615 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 249.616 * * [simplify]: iters left: 6 (43 enodes) 249.639 * * [simplify]: iters left: 5 (201 enodes) 249.713 * * [simplify]: Extracting #0: cost 1 inf + 0 249.713 * * [simplify]: Extracting #1: cost 3 inf + 0 249.713 * * [simplify]: Extracting #2: cost 6 inf + 0 249.713 * * [simplify]: Extracting #3: cost 50 inf + 0 249.714 * * [simplify]: Extracting #4: cost 107 inf + 0 249.714 * * [simplify]: Extracting #5: cost 146 inf + 167 249.716 * * [simplify]: Extracting #6: cost 202 inf + 1395 249.718 * * [simplify]: Extracting #7: cost 195 inf + 3305 249.722 * * [simplify]: Extracting #8: cost 150 inf + 8873 249.730 * * [simplify]: Extracting #9: cost 99 inf + 24577 249.743 * * [simplify]: Extracting #10: cost 47 inf + 46508 249.753 * * [simplify]: Extracting #11: cost 25 inf + 60539 249.771 * * [simplify]: Extracting #12: cost 3 inf + 80049 249.798 * * [simplify]: Extracting #13: cost 0 inf + 84764 249.815 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1)))))) 249.816 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 249.816 * * * * [progress]: [ 622 / 5906 ] simplifiying candidate # 249.816 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 249.817 * * [simplify]: iters left: 6 (48 enodes) 249.833 * * [simplify]: iters left: 5 (229 enodes) 249.890 * * [simplify]: Extracting #0: cost 1 inf + 0 249.890 * * [simplify]: Extracting #1: cost 3 inf + 0 249.890 * * [simplify]: Extracting #2: cost 10 inf + 0 249.890 * * [simplify]: Extracting #3: cost 70 inf + 0 249.891 * * [simplify]: Extracting #4: cost 124 inf + 42 249.891 * * [simplify]: Extracting #5: cost 170 inf + 207 249.893 * * [simplify]: Extracting #6: cost 223 inf + 2366 249.896 * * [simplify]: Extracting #7: cost 204 inf + 7208 249.903 * * [simplify]: Extracting #8: cost 128 inf + 24387 249.917 * * [simplify]: Extracting #9: cost 61 inf + 49909 249.944 * * [simplify]: Extracting #10: cost 18 inf + 83546 249.982 * * [simplify]: Extracting #11: cost 1 inf + 99070 250.011 * * [simplify]: Extracting #12: cost 0 inf + 100015 250.038 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 250.038 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 250.039 * * * * [progress]: [ 623 / 5906 ] simplifiying candidate # 250.039 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 250.040 * * [simplify]: iters left: 6 (43 enodes) 250.057 * * [simplify]: iters left: 5 (201 enodes) 250.103 * * [simplify]: Extracting #0: cost 1 inf + 0 250.103 * * [simplify]: Extracting #1: cost 3 inf + 0 250.103 * * [simplify]: Extracting #2: cost 10 inf + 0 250.103 * * [simplify]: Extracting #3: cost 62 inf + 0 250.103 * * [simplify]: Extracting #4: cost 104 inf + 86 250.104 * * [simplify]: Extracting #5: cost 133 inf + 1147 250.105 * * [simplify]: Extracting #6: cost 193 inf + 2527 250.108 * * [simplify]: Extracting #7: cost 195 inf + 3180 250.110 * * [simplify]: Extracting #8: cost 134 inf + 15924 250.116 * * [simplify]: Extracting #9: cost 74 inf + 35189 250.129 * * [simplify]: Extracting #10: cost 22 inf + 66263 250.145 * * [simplify]: Extracting #11: cost 1 inf + 81651 250.162 * * [simplify]: Extracting #12: cost 0 inf + 82134 250.194 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- phi1 phi2)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 250.194 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- phi1 phi2)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 250.195 * * * * [progress]: [ 624 / 5906 ] simplifiying candidate # 250.195 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 250.196 * * [simplify]: iters left: 6 (48 enodes) 250.220 * * [simplify]: iters left: 5 (229 enodes) 250.313 * * [simplify]: Extracting #0: cost 1 inf + 0 250.314 * * [simplify]: Extracting #1: cost 3 inf + 0 250.314 * * [simplify]: Extracting #2: cost 10 inf + 0 250.314 * * [simplify]: Extracting #3: cost 70 inf + 0 250.314 * * [simplify]: Extracting #4: cost 124 inf + 42 250.315 * * [simplify]: Extracting #5: cost 169 inf + 249 250.317 * * [simplify]: Extracting #6: cost 227 inf + 1800 250.320 * * [simplify]: Extracting #7: cost 208 inf + 6391 250.327 * * [simplify]: Extracting #8: cost 131 inf + 24133 250.342 * * [simplify]: Extracting #9: cost 63 inf + 49122 250.369 * * [simplify]: Extracting #10: cost 20 inf + 83660 250.413 * * [simplify]: Extracting #11: cost 1 inf + 100110 250.454 * * [simplify]: Extracting #12: cost 0 inf + 101055 250.480 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 250.480 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 250.480 * * * * [progress]: [ 625 / 5906 ] simplifiying candidate # 250.481 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 250.481 * * [simplify]: iters left: 6 (43 enodes) 250.491 * * [simplify]: iters left: 5 (201 enodes) 250.548 * * [simplify]: Extracting #0: cost 1 inf + 0 250.548 * * [simplify]: Extracting #1: cost 3 inf + 0 250.548 * * [simplify]: Extracting #2: cost 10 inf + 0 250.548 * * [simplify]: Extracting #3: cost 61 inf + 0 250.548 * * [simplify]: Extracting #4: cost 105 inf + 44 250.549 * * [simplify]: Extracting #5: cost 134 inf + 984 250.550 * * [simplify]: Extracting #6: cost 190 inf + 2932 250.551 * * [simplify]: Extracting #7: cost 194 inf + 3262 250.553 * * [simplify]: Extracting #8: cost 135 inf + 15842 250.559 * * [simplify]: Extracting #9: cost 72 inf + 35603 250.571 * * [simplify]: Extracting #10: cost 19 inf + 67869 250.587 * * [simplify]: Extracting #11: cost 0 inf + 82534 250.604 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 250.604 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 250.604 * * * * [progress]: [ 626 / 5906 ] simplifiying candidate # 250.605 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 250.605 * * [simplify]: iters left: 6 (48 enodes) 250.629 * * [simplify]: iters left: 5 (227 enodes) 250.679 * * [simplify]: Extracting #0: cost 1 inf + 0 250.679 * * [simplify]: Extracting #1: cost 3 inf + 0 250.679 * * [simplify]: Extracting #2: cost 6 inf + 0 250.679 * * [simplify]: Extracting #3: cost 52 inf + 0 250.679 * * [simplify]: Extracting #4: cost 118 inf + 0 250.680 * * [simplify]: Extracting #5: cost 186 inf + 0 250.680 * * [simplify]: Extracting #6: cost 252 inf + 807 250.682 * * [simplify]: Extracting #7: cost 182 inf + 16608 250.686 * * [simplify]: Extracting #8: cost 135 inf + 23412 250.691 * * [simplify]: Extracting #9: cost 90 inf + 38311 250.711 * * [simplify]: Extracting #10: cost 52 inf + 54802 250.725 * * [simplify]: Extracting #11: cost 31 inf + 70306 250.744 * * [simplify]: Extracting #12: cost 0 inf + 104121 250.784 * * [simplify]: Extracting #13: cost 0 inf + 103841 250.826 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 250.826 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 250.827 * * * * [progress]: [ 627 / 5906 ] simplifiying candidate # 250.828 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 250.828 * * [simplify]: iters left: 6 (49 enodes) 250.853 * * [simplify]: iters left: 5 (236 enodes) 250.955 * * [simplify]: Extracting #0: cost 1 inf + 0 250.955 * * [simplify]: Extracting #1: cost 3 inf + 0 250.955 * * [simplify]: Extracting #2: cost 6 inf + 0 250.955 * * [simplify]: Extracting #3: cost 56 inf + 0 250.956 * * [simplify]: Extracting #4: cost 141 inf + 0 250.957 * * [simplify]: Extracting #5: cost 199 inf + 85 250.959 * * [simplify]: Extracting #6: cost 229 inf + 4886 250.964 * * [simplify]: Extracting #7: cost 187 inf + 13547 250.971 * * [simplify]: Extracting #8: cost 121 inf + 29443 250.979 * * [simplify]: Extracting #9: cost 68 inf + 49381 250.993 * * [simplify]: Extracting #10: cost 33 inf + 72193 251.024 * * [simplify]: Extracting #11: cost 5 inf + 102853 251.047 * * [simplify]: Extracting #12: cost 0 inf + 110018 251.080 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))))))) 251.080 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 251.081 * * * * [progress]: [ 628 / 5906 ] simplifiying candidate # 251.082 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 251.082 * * [simplify]: iters left: 6 (49 enodes) 251.100 * * [simplify]: iters left: 5 (236 enodes) 251.156 * * [simplify]: Extracting #0: cost 1 inf + 0 251.156 * * [simplify]: Extracting #1: cost 3 inf + 0 251.156 * * [simplify]: Extracting #2: cost 6 inf + 0 251.156 * * [simplify]: Extracting #3: cost 58 inf + 0 251.156 * * [simplify]: Extracting #4: cost 139 inf + 0 251.158 * * [simplify]: Extracting #5: cost 194 inf + 166 251.160 * * [simplify]: Extracting #6: cost 222 inf + 5771 251.165 * * [simplify]: Extracting #7: cost 186 inf + 13614 251.175 * * [simplify]: Extracting #8: cost 120 inf + 27746 251.186 * * [simplify]: Extracting #9: cost 61 inf + 52123 251.197 * * [simplify]: Extracting #10: cost 33 inf + 69945 251.225 * * [simplify]: Extracting #11: cost 3 inf + 101375 251.263 * * [simplify]: Extracting #12: cost 0 inf + 105490 251.284 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))))))) 251.285 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 251.286 * * * * [progress]: [ 629 / 5906 ] simplifiying candidate # 251.286 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 251.287 * * [simplify]: iters left: 6 (43 enodes) 251.300 * * [simplify]: iters left: 5 (200 enodes) 251.349 * * [simplify]: Extracting #0: cost 1 inf + 0 251.349 * * [simplify]: Extracting #1: cost 3 inf + 0 251.349 * * [simplify]: Extracting #2: cost 6 inf + 0 251.349 * * [simplify]: Extracting #3: cost 50 inf + 0 251.349 * * [simplify]: Extracting #4: cost 107 inf + 0 251.349 * * [simplify]: Extracting #5: cost 143 inf + 126 251.350 * * [simplify]: Extracting #6: cost 196 inf + 1517 251.351 * * [simplify]: Extracting #7: cost 166 inf + 6646 251.355 * * [simplify]: Extracting #8: cost 104 inf + 25166 251.365 * * [simplify]: Extracting #9: cost 49 inf + 46091 251.385 * * [simplify]: Extracting #10: cost 13 inf + 71343 251.401 * * [simplify]: Extracting #11: cost 0 inf + 82629 251.424 * * [simplify]: Extracting #12: cost 0 inf + 82589 251.453 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))))))) 251.453 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 251.454 * * * * [progress]: [ 630 / 5906 ] simplifiying candidate # 251.454 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 251.455 * * [simplify]: iters left: 6 (48 enodes) 251.467 * * [simplify]: iters left: 5 (228 enodes) 251.524 * * [simplify]: Extracting #0: cost 1 inf + 0 251.524 * * [simplify]: Extracting #1: cost 3 inf + 0 251.524 * * [simplify]: Extracting #2: cost 10 inf + 0 251.524 * * [simplify]: Extracting #3: cost 70 inf + 0 251.525 * * [simplify]: Extracting #4: cost 124 inf + 42 251.525 * * [simplify]: Extracting #5: cost 166 inf + 207 251.526 * * [simplify]: Extracting #6: cost 223 inf + 1598 251.531 * * [simplify]: Extracting #7: cost 195 inf + 7622 251.534 * * [simplify]: Extracting #8: cost 121 inf + 23968 251.542 * * [simplify]: Extracting #9: cost 53 inf + 53451 251.570 * * [simplify]: Extracting #10: cost 5 inf + 95075 251.605 * * [simplify]: Extracting #11: cost 0 inf + 100920 251.637 * * [simplify]: Extracting #12: cost 0 inf + 100880 251.657 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 251.657 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 251.658 * * * * [progress]: [ 631 / 5906 ] simplifiying candidate # 251.658 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 251.658 * * [simplify]: iters left: 6 (43 enodes) 251.678 * * [simplify]: iters left: 5 (200 enodes) 251.724 * * [simplify]: Extracting #0: cost 1 inf + 0 251.724 * * [simplify]: Extracting #1: cost 3 inf + 0 251.724 * * [simplify]: Extracting #2: cost 10 inf + 0 251.724 * * [simplify]: Extracting #3: cost 62 inf + 0 251.724 * * [simplify]: Extracting #4: cost 104 inf + 86 251.725 * * [simplify]: Extracting #5: cost 126 inf + 1633 251.726 * * [simplify]: Extracting #6: cost 183 inf + 2976 251.727 * * [simplify]: Extracting #7: cost 175 inf + 5382 251.730 * * [simplify]: Extracting #8: cost 112 inf + 18612 251.738 * * [simplify]: Extracting #9: cost 55 inf + 42820 251.758 * * [simplify]: Extracting #10: cost 8 inf + 72474 251.791 * * [simplify]: Extracting #11: cost 1 inf + 78414 251.822 * * [simplify]: Extracting #12: cost 0 inf + 79959 251.853 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (+ phi2 phi1))))) 251.853 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 251.854 * * * * [progress]: [ 632 / 5906 ] simplifiying candidate # 251.855 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 251.855 * * [simplify]: iters left: 6 (48 enodes) 251.880 * * [simplify]: iters left: 5 (228 enodes) 251.947 * * [simplify]: Extracting #0: cost 1 inf + 0 251.947 * * [simplify]: Extracting #1: cost 3 inf + 0 251.947 * * [simplify]: Extracting #2: cost 10 inf + 0 251.947 * * [simplify]: Extracting #3: cost 70 inf + 0 251.948 * * [simplify]: Extracting #4: cost 124 inf + 42 251.948 * * [simplify]: Extracting #5: cost 164 inf + 290 251.950 * * [simplify]: Extracting #6: cost 219 inf + 2245 251.954 * * [simplify]: Extracting #7: cost 177 inf + 12601 251.961 * * [simplify]: Extracting #8: cost 116 inf + 25398 251.980 * * [simplify]: Extracting #9: cost 47 inf + 58355 252.014 * * [simplify]: Extracting #10: cost 5 inf + 95795 252.052 * * [simplify]: Extracting #11: cost 0 inf + 101880 252.085 * * [simplify]: Extracting #12: cost 0 inf + 101840 252.109 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 252.109 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 252.109 * * * * [progress]: [ 633 / 5906 ] simplifiying candidate # 252.110 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 252.110 * * [simplify]: iters left: 6 (43 enodes) 252.120 * * [simplify]: iters left: 5 (200 enodes) 252.173 * * [simplify]: Extracting #0: cost 1 inf + 0 252.173 * * [simplify]: Extracting #1: cost 3 inf + 0 252.173 * * [simplify]: Extracting #2: cost 10 inf + 0 252.173 * * [simplify]: Extracting #3: cost 61 inf + 0 252.173 * * [simplify]: Extracting #4: cost 105 inf + 44 252.174 * * [simplify]: Extracting #5: cost 128 inf + 1268 252.175 * * [simplify]: Extracting #6: cost 183 inf + 2976 252.176 * * [simplify]: Extracting #7: cost 174 inf + 5464 252.179 * * [simplify]: Extracting #8: cost 110 inf + 19825 252.186 * * [simplify]: Extracting #9: cost 56 inf + 42216 252.209 * * [simplify]: Extracting #10: cost 12 inf + 70318 252.240 * * [simplify]: Extracting #11: cost 0 inf + 80399 252.264 * * [simplify]: Extracting #12: cost 0 inf + 80359 252.281 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (+ phi2 phi1))))) 252.281 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 252.281 * * * * [progress]: [ 634 / 5906 ] simplifiying candidate # 252.282 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 252.282 * * [simplify]: iters left: 6 (48 enodes) 252.299 * * [simplify]: iters left: 5 (228 enodes) 252.373 * * [simplify]: Extracting #0: cost 1 inf + 0 252.373 * * [simplify]: Extracting #1: cost 3 inf + 0 252.373 * * [simplify]: Extracting #2: cost 6 inf + 0 252.373 * * [simplify]: Extracting #3: cost 52 inf + 0 252.373 * * [simplify]: Extracting #4: cost 118 inf + 0 252.373 * * [simplify]: Extracting #5: cost 190 inf + 0 252.374 * * [simplify]: Extracting #6: cost 255 inf + 2444 252.376 * * [simplify]: Extracting #7: cost 221 inf + 9063 252.379 * * [simplify]: Extracting #8: cost 131 inf + 25757 252.387 * * [simplify]: Extracting #9: cost 73 inf + 44833 252.411 * * [simplify]: Extracting #10: cost 25 inf + 82868 252.432 * * [simplify]: Extracting #11: cost 1 inf + 105812 252.469 * * [simplify]: Extracting #12: cost 0 inf + 106496 252.490 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) 252.490 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 252.491 * * * * [progress]: [ 635 / 5906 ] simplifiying candidate # 252.491 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 252.492 * * [simplify]: iters left: 6 (49 enodes) 252.514 * * [simplify]: iters left: 5 (237 enodes) 252.599 * * [simplify]: Extracting #0: cost 1 inf + 0 252.600 * * [simplify]: Extracting #1: cost 3 inf + 0 252.600 * * [simplify]: Extracting #2: cost 6 inf + 0 252.600 * * [simplify]: Extracting #3: cost 56 inf + 0 252.600 * * [simplify]: Extracting #4: cost 141 inf + 0 252.601 * * [simplify]: Extracting #5: cost 201 inf + 249 252.604 * * [simplify]: Extracting #6: cost 240 inf + 3915 252.609 * * [simplify]: Extracting #7: cost 207 inf + 11955 252.616 * * [simplify]: Extracting #8: cost 156 inf + 19236 252.626 * * [simplify]: Extracting #9: cost 113 inf + 32452 252.640 * * [simplify]: Extracting #10: cost 62 inf + 55443 252.654 * * [simplify]: Extracting #11: cost 34 inf + 74604 252.682 * * [simplify]: Extracting #12: cost 3 inf + 105318 252.720 * * [simplify]: Extracting #13: cost 0 inf + 109233 252.743 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 252.743 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 252.744 * * * * [progress]: [ 636 / 5906 ] simplifiying candidate # 252.744 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 252.745 * * [simplify]: iters left: 6 (49 enodes) 252.759 * * [simplify]: iters left: 5 (237 enodes) 252.833 * * [simplify]: Extracting #0: cost 1 inf + 0 252.833 * * [simplify]: Extracting #1: cost 3 inf + 0 252.833 * * [simplify]: Extracting #2: cost 6 inf + 0 252.833 * * [simplify]: Extracting #3: cost 58 inf + 0 252.834 * * [simplify]: Extracting #4: cost 139 inf + 0 252.835 * * [simplify]: Extracting #5: cost 198 inf + 127 252.837 * * [simplify]: Extracting #6: cost 232 inf + 5403 252.842 * * [simplify]: Extracting #7: cost 201 inf + 11946 252.846 * * [simplify]: Extracting #8: cost 155 inf + 19831 252.851 * * [simplify]: Extracting #9: cost 106 inf + 33440 252.860 * * [simplify]: Extracting #10: cost 59 inf + 54913 252.881 * * [simplify]: Extracting #11: cost 7 inf + 99410 252.918 * * [simplify]: Extracting #12: cost 0 inf + 106905 252.942 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 252.942 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 252.943 * * * * [progress]: [ 637 / 5906 ] simplifiying candidate # 252.944 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 252.944 * * [simplify]: iters left: 6 (43 enodes) 252.960 * * [simplify]: iters left: 5 (201 enodes) 253.014 * * [simplify]: Extracting #0: cost 1 inf + 0 253.014 * * [simplify]: Extracting #1: cost 3 inf + 0 253.014 * * [simplify]: Extracting #2: cost 6 inf + 0 253.014 * * [simplify]: Extracting #3: cost 50 inf + 0 253.014 * * [simplify]: Extracting #4: cost 107 inf + 0 253.015 * * [simplify]: Extracting #5: cost 147 inf + 126 253.016 * * [simplify]: Extracting #6: cost 201 inf + 1718 253.018 * * [simplify]: Extracting #7: cost 195 inf + 3305 253.020 * * [simplify]: Extracting #8: cost 150 inf + 8873 253.023 * * [simplify]: Extracting #9: cost 100 inf + 24333 253.031 * * [simplify]: Extracting #10: cost 49 inf + 46018 253.043 * * [simplify]: Extracting #11: cost 25 inf + 60859 253.069 * * [simplify]: Extracting #12: cost 3 inf + 80369 253.087 * * [simplify]: Extracting #13: cost 1 inf + 83499 253.111 * * [simplify]: Extracting #14: cost 0 inf + 85084 253.129 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1)))))) 253.129 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 253.130 * * * * [progress]: [ 638 / 5906 ] simplifiying candidate # 253.131 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 253.131 * * [simplify]: iters left: 6 (48 enodes) 253.157 * * [simplify]: iters left: 5 (229 enodes) 253.244 * * [simplify]: Extracting #0: cost 1 inf + 0 253.244 * * [simplify]: Extracting #1: cost 3 inf + 0 253.244 * * [simplify]: Extracting #2: cost 10 inf + 0 253.245 * * [simplify]: Extracting #3: cost 70 inf + 0 253.245 * * [simplify]: Extracting #4: cost 124 inf + 42 253.245 * * [simplify]: Extracting #5: cost 170 inf + 207 253.246 * * [simplify]: Extracting #6: cost 223 inf + 2366 253.248 * * [simplify]: Extracting #7: cost 204 inf + 7208 253.251 * * [simplify]: Extracting #8: cost 129 inf + 24031 253.258 * * [simplify]: Extracting #9: cost 61 inf + 50229 253.280 * * [simplify]: Extracting #10: cost 18 inf + 84466 253.318 * * [simplify]: Extracting #11: cost 1 inf + 100470 253.357 * * [simplify]: Extracting #12: cost 0 inf + 101455 253.395 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 253.395 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 253.396 * * * * [progress]: [ 639 / 5906 ] simplifiying candidate # 253.397 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 253.397 * * [simplify]: iters left: 6 (43 enodes) 253.418 * * [simplify]: iters left: 5 (201 enodes) 253.468 * * [simplify]: Extracting #0: cost 1 inf + 0 253.468 * * [simplify]: Extracting #1: cost 3 inf + 0 253.468 * * [simplify]: Extracting #2: cost 10 inf + 0 253.468 * * [simplify]: Extracting #3: cost 62 inf + 0 253.469 * * [simplify]: Extracting #4: cost 104 inf + 86 253.469 * * [simplify]: Extracting #5: cost 133 inf + 1147 253.471 * * [simplify]: Extracting #6: cost 193 inf + 2527 253.473 * * [simplify]: Extracting #7: cost 195 inf + 3180 253.478 * * [simplify]: Extracting #8: cost 133 inf + 16526 253.490 * * [simplify]: Extracting #9: cost 73 inf + 35631 253.513 * * [simplify]: Extracting #10: cost 22 inf + 65543 253.547 * * [simplify]: Extracting #11: cost 2 inf + 78866 253.580 * * [simplify]: Extracting #12: cost 0 inf + 80854 253.603 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- phi1 phi2)))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (+ phi2 phi1))))) 253.603 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- phi1 phi2)))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 253.604 * * * * [progress]: [ 640 / 5906 ] simplifiying candidate # 253.604 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 253.604 * * [simplify]: iters left: 6 (48 enodes) 253.617 * * [simplify]: iters left: 5 (229 enodes) 253.683 * * [simplify]: Extracting #0: cost 1 inf + 0 253.683 * * [simplify]: Extracting #1: cost 3 inf + 0 253.683 * * [simplify]: Extracting #2: cost 10 inf + 0 253.683 * * [simplify]: Extracting #3: cost 70 inf + 0 253.684 * * [simplify]: Extracting #4: cost 124 inf + 42 253.684 * * [simplify]: Extracting #5: cost 169 inf + 249 253.685 * * [simplify]: Extracting #6: cost 227 inf + 1800 253.688 * * [simplify]: Extracting #7: cost 208 inf + 6391 253.695 * * [simplify]: Extracting #8: cost 132 inf + 23777 253.709 * * [simplify]: Extracting #9: cost 63 inf + 49442 253.723 * * [simplify]: Extracting #10: cost 20 inf + 84580 253.746 * * [simplify]: Extracting #11: cost 1 inf + 101510 253.770 * * [simplify]: Extracting #12: cost 0 inf + 102495 253.793 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 253.793 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 253.793 * * * * [progress]: [ 641 / 5906 ] simplifiying candidate # 253.794 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 253.794 * * [simplify]: iters left: 6 (43 enodes) 253.804 * * [simplify]: iters left: 5 (201 enodes) 253.858 * * [simplify]: Extracting #0: cost 1 inf + 0 253.858 * * [simplify]: Extracting #1: cost 3 inf + 0 253.858 * * [simplify]: Extracting #2: cost 10 inf + 0 253.858 * * [simplify]: Extracting #3: cost 61 inf + 0 253.859 * * [simplify]: Extracting #4: cost 105 inf + 44 253.859 * * [simplify]: Extracting #5: cost 132 inf + 1308 253.860 * * [simplify]: Extracting #6: cost 190 inf + 2932 253.864 * * [simplify]: Extracting #7: cost 194 inf + 3262 253.867 * * [simplify]: Extracting #8: cost 134 inf + 16587 253.878 * * [simplify]: Extracting #9: cost 71 inf + 35975 253.902 * * [simplify]: Extracting #10: cost 18 inf + 67633 253.932 * * [simplify]: Extracting #11: cost 0 inf + 81254 253.963 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (+ phi2 phi1))))) 253.964 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 253.965 * * * * [progress]: [ 642 / 5906 ] simplifiying candidate # 253.965 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 253.966 * * [simplify]: iters left: 6 (48 enodes) 253.989 * * [simplify]: iters left: 5 (228 enodes) 254.057 * * [simplify]: Extracting #0: cost 1 inf + 0 254.059 * * [simplify]: Extracting #1: cost 3 inf + 0 254.059 * * [simplify]: Extracting #2: cost 6 inf + 0 254.059 * * [simplify]: Extracting #3: cost 52 inf + 0 254.059 * * [simplify]: Extracting #4: cost 118 inf + 0 254.060 * * [simplify]: Extracting #5: cost 186 inf + 0 254.060 * * [simplify]: Extracting #6: cost 249 inf + 2276 254.062 * * [simplify]: Extracting #7: cost 202 inf + 11356 254.067 * * [simplify]: Extracting #8: cost 115 inf + 30341 254.075 * * [simplify]: Extracting #9: cost 58 inf + 51790 254.104 * * [simplify]: Extracting #10: cost 11 inf + 93926 254.131 * * [simplify]: Extracting #11: cost 0 inf + 106441 254.159 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) 254.160 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 254.161 * * * * [progress]: [ 643 / 5906 ] simplifiying candidate # 254.161 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 254.162 * * [simplify]: iters left: 6 (49 enodes) 254.187 * * [simplify]: iters left: 5 (237 enodes) 254.287 * * [simplify]: Extracting #0: cost 1 inf + 0 254.287 * * [simplify]: Extracting #1: cost 3 inf + 0 254.288 * * [simplify]: Extracting #2: cost 6 inf + 0 254.288 * * [simplify]: Extracting #3: cost 56 inf + 0 254.288 * * [simplify]: Extracting #4: cost 141 inf + 0 254.289 * * [simplify]: Extracting #5: cost 197 inf + 249 254.291 * * [simplify]: Extracting #6: cost 234 inf + 3838 254.297 * * [simplify]: Extracting #7: cost 188 inf + 13695 254.305 * * [simplify]: Extracting #8: cost 136 inf + 23918 254.317 * * [simplify]: Extracting #9: cost 101 inf + 37372 254.336 * * [simplify]: Extracting #10: cost 49 inf + 60894 254.354 * * [simplify]: Extracting #11: cost 34 inf + 70928 254.372 * * [simplify]: Extracting #12: cost 4 inf + 101758 254.410 * * [simplify]: Extracting #13: cost 0 inf + 106738 254.452 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))))) 254.452 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 254.453 * * * * [progress]: [ 644 / 5906 ] simplifiying candidate # 254.453 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 254.454 * * [simplify]: iters left: 6 (49 enodes) 254.472 * * [simplify]: iters left: 5 (237 enodes) 254.542 * * [simplify]: Extracting #0: cost 1 inf + 0 254.542 * * [simplify]: Extracting #1: cost 3 inf + 0 254.543 * * [simplify]: Extracting #2: cost 6 inf + 0 254.543 * * [simplify]: Extracting #3: cost 58 inf + 0 254.543 * * [simplify]: Extracting #4: cost 139 inf + 0 254.544 * * [simplify]: Extracting #5: cost 194 inf + 127 254.547 * * [simplify]: Extracting #6: cost 228 inf + 4280 254.552 * * [simplify]: Extracting #7: cost 186 inf + 13492 254.560 * * [simplify]: Extracting #8: cost 137 inf + 23134 254.572 * * [simplify]: Extracting #9: cost 89 inf + 41737 254.592 * * [simplify]: Extracting #10: cost 44 inf + 62470 254.625 * * [simplify]: Extracting #11: cost 7 inf + 99075 254.666 * * [simplify]: Extracting #12: cost 0 inf + 106890 254.689 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 254.689 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 254.689 * * * * [progress]: [ 645 / 5906 ] simplifiying candidate # 254.690 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 254.690 * * [simplify]: iters left: 6 (43 enodes) 254.709 * * [simplify]: iters left: 5 (201 enodes) 254.772 * * [simplify]: Extracting #0: cost 1 inf + 0 254.772 * * [simplify]: Extracting #1: cost 3 inf + 0 254.772 * * [simplify]: Extracting #2: cost 6 inf + 0 254.772 * * [simplify]: Extracting #3: cost 50 inf + 0 254.772 * * [simplify]: Extracting #4: cost 107 inf + 0 254.772 * * [simplify]: Extracting #5: cost 143 inf + 126 254.773 * * [simplify]: Extracting #6: cost 194 inf + 1722 254.774 * * [simplify]: Extracting #7: cost 175 inf + 5548 254.776 * * [simplify]: Extracting #8: cost 145 inf + 9610 254.781 * * [simplify]: Extracting #9: cost 94 inf + 27120 254.798 * * [simplify]: Extracting #10: cost 47 inf + 44996 254.809 * * [simplify]: Extracting #11: cost 25 inf + 58644 254.824 * * [simplify]: Extracting #12: cost 3 inf + 78434 254.841 * * [simplify]: Extracting #13: cost 1 inf + 81284 254.859 * * [simplify]: Extracting #14: cost 0 inf + 82829 254.892 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1)))))) 254.892 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 254.893 * * * * [progress]: [ 646 / 5906 ] simplifiying candidate # 254.893 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 254.894 * * [simplify]: iters left: 6 (48 enodes) 254.919 * * [simplify]: iters left: 5 (229 enodes) 254.970 * * [simplify]: Extracting #0: cost 1 inf + 0 254.970 * * [simplify]: Extracting #1: cost 3 inf + 0 254.970 * * [simplify]: Extracting #2: cost 10 inf + 0 254.970 * * [simplify]: Extracting #3: cost 70 inf + 0 254.970 * * [simplify]: Extracting #4: cost 124 inf + 42 254.971 * * [simplify]: Extracting #5: cost 166 inf + 207 254.971 * * [simplify]: Extracting #6: cost 218 inf + 2246 254.973 * * [simplify]: Extracting #7: cost 183 inf + 10179 254.976 * * [simplify]: Extracting #8: cost 126 inf + 22954 254.984 * * [simplify]: Extracting #9: cost 54 inf + 51068 255.002 * * [simplify]: Extracting #10: cost 17 inf + 83415 255.036 * * [simplify]: Extracting #11: cost 1 inf + 99655 255.056 * * [simplify]: Extracting #12: cost 0 inf + 100720 255.085 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 255.085 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 255.086 * * * * [progress]: [ 647 / 5906 ] simplifiying candidate # 255.086 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 255.087 * * [simplify]: iters left: 6 (43 enodes) 255.108 * * [simplify]: iters left: 5 (201 enodes) 255.170 * * [simplify]: Extracting #0: cost 1 inf + 0 255.170 * * [simplify]: Extracting #1: cost 3 inf + 0 255.170 * * [simplify]: Extracting #2: cost 10 inf + 0 255.170 * * [simplify]: Extracting #3: cost 62 inf + 0 255.171 * * [simplify]: Extracting #4: cost 104 inf + 86 255.171 * * [simplify]: Extracting #5: cost 129 inf + 1147 255.172 * * [simplify]: Extracting #6: cost 186 inf + 2571 255.173 * * [simplify]: Extracting #7: cost 174 inf + 5503 255.176 * * [simplify]: Extracting #8: cost 108 inf + 20814 255.185 * * [simplify]: Extracting #9: cost 45 inf + 50366 255.214 * * [simplify]: Extracting #10: cost 5 inf + 75069 255.231 * * [simplify]: Extracting #11: cost 1 inf + 78614 255.252 * * [simplify]: Extracting #12: cost 0 inf + 80199 255.284 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (+ phi2 phi1))))) 255.284 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 255.285 * * * * [progress]: [ 648 / 5906 ] simplifiying candidate # 255.285 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 255.285 * * [simplify]: iters left: 6 (48 enodes) 255.298 * * [simplify]: iters left: 5 (229 enodes) 255.364 * * [simplify]: Extracting #0: cost 1 inf + 0 255.365 * * [simplify]: Extracting #1: cost 3 inf + 0 255.365 * * [simplify]: Extracting #2: cost 10 inf + 0 255.365 * * [simplify]: Extracting #3: cost 70 inf + 0 255.365 * * [simplify]: Extracting #4: cost 124 inf + 42 255.366 * * [simplify]: Extracting #5: cost 165 inf + 249 255.368 * * [simplify]: Extracting #6: cost 222 inf + 1680 255.369 * * [simplify]: Extracting #7: cost 194 inf + 7622 255.373 * * [simplify]: Extracting #8: cost 129 inf + 21725 255.380 * * [simplify]: Extracting #9: cost 56 inf + 50464 255.394 * * [simplify]: Extracting #10: cost 18 inf + 83811 255.421 * * [simplify]: Extracting #11: cost 1 inf + 100695 255.443 * * [simplify]: Extracting #12: cost 0 inf + 101760 255.469 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 255.469 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 255.469 * * * * [progress]: [ 649 / 5906 ] simplifiying candidate # 255.470 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 255.470 * * [simplify]: iters left: 6 (43 enodes) 255.483 * * [simplify]: iters left: 5 (201 enodes) 255.546 * * [simplify]: Extracting #0: cost 1 inf + 0 255.546 * * [simplify]: Extracting #1: cost 3 inf + 0 255.546 * * [simplify]: Extracting #2: cost 10 inf + 0 255.547 * * [simplify]: Extracting #3: cost 61 inf + 0 255.547 * * [simplify]: Extracting #4: cost 105 inf + 44 255.548 * * [simplify]: Extracting #5: cost 131 inf + 902 255.550 * * [simplify]: Extracting #6: cost 183 inf + 2976 255.553 * * [simplify]: Extracting #7: cost 172 inf + 5667 255.559 * * [simplify]: Extracting #8: cost 109 inf + 20668 255.576 * * [simplify]: Extracting #9: cost 41 inf + 51763 255.601 * * [simplify]: Extracting #10: cost 4 inf + 75952 255.617 * * [simplify]: Extracting #11: cost 0 inf + 80599 255.642 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (+ phi2 phi1))))) 255.642 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 255.643 * * * * [progress]: [ 650 / 5906 ] simplifiying candidate # 255.644 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 255.645 * * [simplify]: iters left: 6 (51 enodes) 255.662 * * [simplify]: iters left: 5 (252 enodes) 255.748 * * [simplify]: Extracting #0: cost 1 inf + 0 255.748 * * [simplify]: Extracting #1: cost 3 inf + 0 255.748 * * [simplify]: Extracting #2: cost 6 inf + 0 255.748 * * [simplify]: Extracting #3: cost 52 inf + 0 255.748 * * [simplify]: Extracting #4: cost 120 inf + 0 255.749 * * [simplify]: Extracting #5: cost 189 inf + 0 255.751 * * [simplify]: Extracting #6: cost 283 inf + 763 255.754 * * [simplify]: Extracting #7: cost 255 inf + 8556 255.763 * * [simplify]: Extracting #8: cost 153 inf + 31675 255.781 * * [simplify]: Extracting #9: cost 75 inf + 55029 255.812 * * [simplify]: Extracting #10: cost 28 inf + 88838 255.837 * * [simplify]: Extracting #11: cost 2 inf + 111104 255.863 * * [simplify]: Extracting #12: cost 1 inf + 112889 255.894 * * [simplify]: Extracting #13: cost 0 inf + 114674 255.924 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) 255.924 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 255.925 * * * * [progress]: [ 651 / 5906 ] simplifiying candidate # 255.925 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 255.926 * * [simplify]: iters left: 6 (52 enodes) 255.954 * * [simplify]: iters left: 5 (261 enodes) 256.030 * * [simplify]: Extracting #0: cost 1 inf + 0 256.030 * * [simplify]: Extracting #1: cost 3 inf + 0 256.030 * * [simplify]: Extracting #2: cost 6 inf + 0 256.030 * * [simplify]: Extracting #3: cost 55 inf + 0 256.031 * * [simplify]: Extracting #4: cost 142 inf + 0 256.032 * * [simplify]: Extracting #5: cost 200 inf + 126 256.034 * * [simplify]: Extracting #6: cost 259 inf + 5002 256.040 * * [simplify]: Extracting #7: cost 233 inf + 11582 256.051 * * [simplify]: Extracting #8: cost 124 inf + 41532 256.066 * * [simplify]: Extracting #9: cost 50 inf + 71935 256.090 * * [simplify]: Extracting #10: cost 3 inf + 110532 256.117 * * [simplify]: Extracting #11: cost 0 inf + 114327 256.166 * * [simplify]: Extracting #12: cost 0 inf + 113247 256.209 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 256.209 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 256.210 * * * * [progress]: [ 652 / 5906 ] simplifiying candidate # 256.210 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 256.210 * * [simplify]: iters left: 6 (52 enodes) 256.226 * * [simplify]: iters left: 5 (261 enodes) 256.297 * * [simplify]: Extracting #0: cost 1 inf + 0 256.297 * * [simplify]: Extracting #1: cost 3 inf + 0 256.297 * * [simplify]: Extracting #2: cost 6 inf + 0 256.297 * * [simplify]: Extracting #3: cost 57 inf + 0 256.298 * * [simplify]: Extracting #4: cost 140 inf + 0 256.299 * * [simplify]: Extracting #5: cost 197 inf + 85 256.302 * * [simplify]: Extracting #6: cost 261 inf + 3471 256.307 * * [simplify]: Extracting #7: cost 241 inf + 9799 256.317 * * [simplify]: Extracting #8: cost 150 inf + 29419 256.324 * * [simplify]: Extracting #9: cost 102 inf + 44880 256.335 * * [simplify]: Extracting #10: cost 53 inf + 66981 256.357 * * [simplify]: Extracting #11: cost 30 inf + 81729 256.394 * * [simplify]: Extracting #12: cost 1 inf + 109174 256.417 * * [simplify]: Extracting #13: cost 0 inf + 110959 256.455 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 256.455 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 256.456 * * * * [progress]: [ 653 / 5906 ] simplifiying candidate # 256.456 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 256.457 * * [simplify]: iters left: 6 (46 enodes) 256.469 * * [simplify]: iters left: 5 (225 enodes) 256.520 * * [simplify]: Extracting #0: cost 1 inf + 0 256.520 * * [simplify]: Extracting #1: cost 3 inf + 0 256.521 * * [simplify]: Extracting #2: cost 6 inf + 0 256.521 * * [simplify]: Extracting #3: cost 49 inf + 0 256.521 * * [simplify]: Extracting #4: cost 109 inf + 0 256.522 * * [simplify]: Extracting #5: cost 146 inf + 126 256.523 * * [simplify]: Extracting #6: cost 228 inf + 950 256.526 * * [simplify]: Extracting #7: cost 229 inf + 2656 256.535 * * [simplify]: Extracting #8: cost 154 inf + 16121 256.552 * * [simplify]: Extracting #9: cost 71 inf + 46735 256.583 * * [simplify]: Extracting #10: cost 8 inf + 87654 256.619 * * [simplify]: Extracting #11: cost 0 inf + 90580 256.654 * * [simplify]: Extracting #12: cost 0 inf + 90100 256.689 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1)))) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))) (+ phi2 phi1)))) 256.689 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1)))) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))) (+ phi2 phi1)))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 256.690 * * * * [progress]: [ 654 / 5906 ] simplifiying candidate # 256.691 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 256.691 * * [simplify]: iters left: 6 (51 enodes) 256.720 * * [simplify]: iters left: 5 (253 enodes) 256.818 * * [simplify]: Extracting #0: cost 1 inf + 0 256.818 * * [simplify]: Extracting #1: cost 3 inf + 0 256.818 * * [simplify]: Extracting #2: cost 10 inf + 0 256.818 * * [simplify]: Extracting #3: cost 67 inf + 0 256.819 * * [simplify]: Extracting #4: cost 125 inf + 42 256.819 * * [simplify]: Extracting #5: cost 167 inf + 249 256.821 * * [simplify]: Extracting #6: cost 250 inf + 1759 256.825 * * [simplify]: Extracting #7: cost 241 inf + 7218 256.832 * * [simplify]: Extracting #8: cost 151 inf + 26428 256.854 * * [simplify]: Extracting #9: cost 56 inf + 60306 256.879 * * [simplify]: Extracting #10: cost 6 inf + 99595 256.902 * * [simplify]: Extracting #11: cost 1 inf + 106440 256.937 * * [simplify]: Extracting #12: cost 0 inf + 108225 256.962 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) 256.962 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 256.963 * * * * [progress]: [ 655 / 5906 ] simplifiying candidate # 256.964 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 256.964 * * [simplify]: iters left: 6 (46 enodes) 256.988 * * [simplify]: iters left: 5 (225 enodes) 257.070 * * [simplify]: Extracting #0: cost 1 inf + 0 257.070 * * [simplify]: Extracting #1: cost 3 inf + 0 257.070 * * [simplify]: Extracting #2: cost 10 inf + 0 257.071 * * [simplify]: Extracting #3: cost 59 inf + 0 257.071 * * [simplify]: Extracting #4: cost 106 inf + 44 257.072 * * [simplify]: Extracting #5: cost 135 inf + 538 257.074 * * [simplify]: Extracting #6: cost 214 inf + 2770 257.076 * * [simplify]: Extracting #7: cost 221 inf + 3545 257.083 * * [simplify]: Extracting #8: cost 135 inf + 22570 257.106 * * [simplify]: Extracting #9: cost 55 inf + 52430 257.140 * * [simplify]: Extracting #10: cost 2 inf + 85715 257.174 * * [simplify]: Extracting #11: cost 0 inf + 86805 257.209 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ phi2 phi1))))) 257.209 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 257.210 * * * * [progress]: [ 656 / 5906 ] simplifiying candidate # 257.211 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 257.211 * * [simplify]: iters left: 6 (51 enodes) 257.225 * * [simplify]: iters left: 5 (253 enodes) 257.289 * * [simplify]: Extracting #0: cost 1 inf + 0 257.289 * * [simplify]: Extracting #1: cost 3 inf + 0 257.289 * * [simplify]: Extracting #2: cost 10 inf + 0 257.289 * * [simplify]: Extracting #3: cost 67 inf + 0 257.289 * * [simplify]: Extracting #4: cost 125 inf + 42 257.290 * * [simplify]: Extracting #5: cost 167 inf + 248 257.291 * * [simplify]: Extracting #6: cost 246 inf + 2406 257.293 * * [simplify]: Extracting #7: cost 238 inf + 7471 257.300 * * [simplify]: Extracting #8: cost 148 inf + 26037 257.320 * * [simplify]: Extracting #9: cost 57 inf + 60222 257.356 * * [simplify]: Extracting #10: cost 6 inf + 100315 257.389 * * [simplify]: Extracting #11: cost 1 inf + 107160 257.418 * * [simplify]: Extracting #12: cost 0 inf + 108945 257.441 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) 257.441 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 257.442 * * * * [progress]: [ 657 / 5906 ] simplifiying candidate # 257.443 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 257.443 * * [simplify]: iters left: 6 (46 enodes) 257.467 * * [simplify]: iters left: 5 (225 enodes) 257.530 * * [simplify]: Extracting #0: cost 1 inf + 0 257.530 * * [simplify]: Extracting #1: cost 3 inf + 0 257.530 * * [simplify]: Extracting #2: cost 10 inf + 0 257.530 * * [simplify]: Extracting #3: cost 58 inf + 0 257.531 * * [simplify]: Extracting #4: cost 106 inf + 44 257.532 * * [simplify]: Extracting #5: cost 130 inf + 1188 257.533 * * [simplify]: Extracting #6: cost 213 inf + 2932 257.536 * * [simplify]: Extracting #7: cost 219 inf + 3708 257.543 * * [simplify]: Extracting #8: cost 132 inf + 23119 257.560 * * [simplify]: Extracting #9: cost 52 inf + 53550 257.576 * * [simplify]: Extracting #10: cost 2 inf + 86115 257.593 * * [simplify]: Extracting #11: cost 0 inf + 87205 257.612 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ phi2 phi1))))) 257.612 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 257.612 * * * * [progress]: [ 658 / 5906 ] simplifiying candidate # 257.613 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 257.613 * * [simplify]: iters left: 6 (47 enodes) 257.635 * * [simplify]: iters left: 5 (226 enodes) 257.693 * * [simplify]: Extracting #0: cost 1 inf + 0 257.693 * * [simplify]: Extracting #1: cost 3 inf + 0 257.693 * * [simplify]: Extracting #2: cost 6 inf + 0 257.693 * * [simplify]: Extracting #3: cost 52 inf + 0 257.693 * * [simplify]: Extracting #4: cost 119 inf + 0 257.694 * * [simplify]: Extracting #5: cost 173 inf + 1 257.695 * * [simplify]: Extracting #6: cost 241 inf + 413 257.699 * * [simplify]: Extracting #7: cost 205 inf + 9258 257.705 * * [simplify]: Extracting #8: cost 146 inf + 19985 257.719 * * [simplify]: Extracting #9: cost 79 inf + 42660 257.733 * * [simplify]: Extracting #10: cost 12 inf + 86489 257.754 * * [simplify]: Extracting #11: cost 1 inf + 93384 257.792 * * [simplify]: Extracting #12: cost 0 inf + 94496 257.825 * * [simplify]: Extracting #13: cost 0 inf + 94365 257.844 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 257.845 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 257.846 * * * * [progress]: [ 659 / 5906 ] simplifiying candidate # 257.846 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 257.847 * * [simplify]: iters left: 6 (48 enodes) 257.872 * * [simplify]: iters left: 5 (235 enodes) 257.931 * * [simplify]: Extracting #0: cost 1 inf + 0 257.931 * * [simplify]: Extracting #1: cost 3 inf + 0 257.931 * * [simplify]: Extracting #2: cost 6 inf + 0 257.931 * * [simplify]: Extracting #3: cost 56 inf + 0 257.931 * * [simplify]: Extracting #4: cost 142 inf + 0 257.932 * * [simplify]: Extracting #5: cost 182 inf + 413 257.933 * * [simplify]: Extracting #6: cost 219 inf + 4402 257.935 * * [simplify]: Extracting #7: cost 203 inf + 10191 257.939 * * [simplify]: Extracting #8: cost 141 inf + 23544 257.955 * * [simplify]: Extracting #9: cost 73 inf + 49620 257.987 * * [simplify]: Extracting #10: cost 10 inf + 90692 258.026 * * [simplify]: Extracting #11: cost 0 inf + 96302 258.047 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) 258.047 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 258.047 * * * * [progress]: [ 660 / 5906 ] simplifiying candidate # 258.048 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 258.048 * * [simplify]: iters left: 6 (48 enodes) 258.064 * * [simplify]: iters left: 5 (235 enodes) 258.134 * * [simplify]: Extracting #0: cost 1 inf + 0 258.134 * * [simplify]: Extracting #1: cost 3 inf + 0 258.134 * * [simplify]: Extracting #2: cost 6 inf + 0 258.134 * * [simplify]: Extracting #3: cost 58 inf + 0 258.134 * * [simplify]: Extracting #4: cost 140 inf + 0 258.135 * * [simplify]: Extracting #5: cost 178 inf + 503 258.138 * * [simplify]: Extracting #6: cost 213 inf + 6141 258.141 * * [simplify]: Extracting #7: cost 202 inf + 10737 258.144 * * [simplify]: Extracting #8: cost 148 inf + 19194 258.149 * * [simplify]: Extracting #9: cost 99 inf + 33701 258.163 * * [simplify]: Extracting #10: cost 21 inf + 85414 258.193 * * [simplify]: Extracting #11: cost 0 inf + 100154 258.230 * * [simplify]: Extracting #12: cost 0 inf + 96320 258.267 * * [simplify]: Extracting #13: cost 0 inf + 95534 258.291 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) 258.291 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 258.292 * * * * [progress]: [ 661 / 5906 ] simplifiying candidate # 258.292 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 258.293 * * [simplify]: iters left: 6 (42 enodes) 258.303 * * [simplify]: iters left: 5 (201 enodes) 258.370 * * [simplify]: Extracting #0: cost 1 inf + 0 258.370 * * [simplify]: Extracting #1: cost 3 inf + 0 258.371 * * [simplify]: Extracting #2: cost 6 inf + 0 258.371 * * [simplify]: Extracting #3: cost 44 inf + 0 258.371 * * [simplify]: Extracting #4: cost 100 inf + 0 258.371 * * [simplify]: Extracting #5: cost 126 inf + 45 258.372 * * [simplify]: Extracting #6: cost 177 inf + 1680 258.373 * * [simplify]: Extracting #7: cost 171 inf + 5020 258.377 * * [simplify]: Extracting #8: cost 96 inf + 25338 258.390 * * [simplify]: Extracting #9: cost 23 inf + 62920 258.418 * * [simplify]: Extracting #10: cost 2 inf + 73143 258.448 * * [simplify]: Extracting #11: cost 0 inf + 71967 258.474 * * [simplify]: Extracting #12: cost 0 inf + 71247 258.491 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) 258.491 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 258.491 * * * * [progress]: [ 662 / 5906 ] simplifiying candidate # 258.492 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 258.492 * * [simplify]: iters left: 6 (47 enodes) 258.511 * * [simplify]: iters left: 5 (229 enodes) 258.568 * * [simplify]: Extracting #0: cost 1 inf + 0 258.568 * * [simplify]: Extracting #1: cost 3 inf + 0 258.568 * * [simplify]: Extracting #2: cost 10 inf + 0 258.568 * * [simplify]: Extracting #3: cost 62 inf + 0 258.572 * * [simplify]: Extracting #4: cost 125 inf + 42 258.572 * * [simplify]: Extracting #5: cost 151 inf + 291 258.574 * * [simplify]: Extracting #6: cost 207 inf + 2284 258.577 * * [simplify]: Extracting #7: cost 196 inf + 7004 258.580 * * [simplify]: Extracting #8: cost 125 inf + 23179 258.591 * * [simplify]: Extracting #9: cost 27 inf + 74486 258.611 * * [simplify]: Extracting #10: cost 1 inf + 90707 258.648 * * [simplify]: Extracting #11: cost 0 inf + 90179 258.671 * * [simplify]: Extracting #12: cost 0 inf + 90008 258.692 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 258.692 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 258.693 * * * * [progress]: [ 663 / 5906 ] simplifiying candidate # 258.694 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 258.694 * * [simplify]: iters left: 6 (42 enodes) 258.718 * * [simplify]: iters left: 5 (201 enodes) 258.774 * * [simplify]: Extracting #0: cost 1 inf + 0 258.774 * * [simplify]: Extracting #1: cost 3 inf + 0 258.774 * * [simplify]: Extracting #2: cost 10 inf + 0 258.774 * * [simplify]: Extracting #3: cost 59 inf + 0 258.774 * * [simplify]: Extracting #4: cost 113 inf + 86 258.775 * * [simplify]: Extracting #5: cost 125 inf + 1068 258.776 * * [simplify]: Extracting #6: cost 181 inf + 2933 258.777 * * [simplify]: Extracting #7: cost 184 inf + 4947 258.780 * * [simplify]: Extracting #8: cost 108 inf + 26348 258.792 * * [simplify]: Extracting #9: cost 22 inf + 67730 258.810 * * [simplify]: Extracting #10: cost 2 inf + 77439 258.833 * * [simplify]: Extracting #11: cost 0 inf + 76292 258.848 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))))) 258.848 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 258.849 * * * * [progress]: [ 664 / 5906 ] simplifiying candidate # 258.849 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 258.849 * * [simplify]: iters left: 6 (47 enodes) 258.865 * * [simplify]: iters left: 5 (229 enodes) 258.949 * * [simplify]: Extracting #0: cost 1 inf + 0 258.950 * * [simplify]: Extracting #1: cost 3 inf + 0 258.950 * * [simplify]: Extracting #2: cost 10 inf + 0 258.950 * * [simplify]: Extracting #3: cost 62 inf + 0 258.950 * * [simplify]: Extracting #4: cost 125 inf + 42 258.951 * * [simplify]: Extracting #5: cost 150 inf + 333 258.952 * * [simplify]: Extracting #6: cost 202 inf + 3414 258.953 * * [simplify]: Extracting #7: cost 197 inf + 6752 258.957 * * [simplify]: Extracting #8: cost 123 inf + 24337 258.969 * * [simplify]: Extracting #9: cost 29 inf + 73577 258.988 * * [simplify]: Extracting #10: cost 1 inf + 91747 259.025 * * [simplify]: Extracting #11: cost 0 inf + 91139 259.055 * * [simplify]: Extracting #12: cost 0 inf + 90968 259.075 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 259.076 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 259.076 * * * * [progress]: [ 665 / 5906 ] simplifiying candidate # 259.077 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 259.077 * * [simplify]: iters left: 6 (42 enodes) 259.088 * * [simplify]: iters left: 5 (201 enodes) 259.154 * * [simplify]: Extracting #0: cost 1 inf + 0 259.154 * * [simplify]: Extracting #1: cost 3 inf + 0 259.154 * * [simplify]: Extracting #2: cost 10 inf + 0 259.154 * * [simplify]: Extracting #3: cost 58 inf + 0 259.154 * * [simplify]: Extracting #4: cost 114 inf + 44 259.155 * * [simplify]: Extracting #5: cost 126 inf + 946 259.156 * * [simplify]: Extracting #6: cost 182 inf + 2771 259.157 * * [simplify]: Extracting #7: cost 183 inf + 5028 259.161 * * [simplify]: Extracting #8: cost 104 inf + 27740 259.175 * * [simplify]: Extracting #9: cost 22 inf + 67770 259.198 * * [simplify]: Extracting #10: cost 2 inf + 77839 259.213 * * [simplify]: Extracting #11: cost 0 inf + 76692 259.228 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))))) 259.228 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 259.229 * * * * [progress]: [ 666 / 5906 ] simplifiying candidate # 259.229 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 259.230 * * [simplify]: iters left: 6 (47 enodes) 259.246 * * [simplify]: iters left: 5 (227 enodes) 259.340 * * [simplify]: Extracting #0: cost 1 inf + 0 259.340 * * [simplify]: Extracting #1: cost 3 inf + 0 259.340 * * [simplify]: Extracting #2: cost 6 inf + 0 259.340 * * [simplify]: Extracting #3: cost 44 inf + 0 259.340 * * [simplify]: Extracting #4: cost 104 inf + 0 259.341 * * [simplify]: Extracting #5: cost 158 inf + 1 259.342 * * [simplify]: Extracting #6: cost 228 inf + 210 259.345 * * [simplify]: Extracting #7: cost 207 inf + 5134 259.353 * * [simplify]: Extracting #8: cost 117 inf + 25280 259.373 * * [simplify]: Extracting #9: cost 13 inf + 79885 259.392 * * [simplify]: Extracting #10: cost 1 inf + 85717 259.424 * * [simplify]: Extracting #11: cost 0 inf + 86520 259.446 * * [simplify]: Extracting #12: cost 0 inf + 86349 259.465 * [simplify]: Simplified to (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 259.465 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 259.466 * * * * [progress]: [ 667 / 5906 ] simplifiying candidate # 259.466 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 259.466 * * [simplify]: iters left: 6 (48 enodes) 259.488 * * [simplify]: iters left: 5 (236 enodes) 259.585 * * [simplify]: Extracting #0: cost 1 inf + 0 259.585 * * [simplify]: Extracting #1: cost 3 inf + 0 259.585 * * [simplify]: Extracting #2: cost 6 inf + 0 259.585 * * [simplify]: Extracting #3: cost 48 inf + 0 259.586 * * [simplify]: Extracting #4: cost 127 inf + 0 259.587 * * [simplify]: Extracting #5: cost 167 inf + 333 259.590 * * [simplify]: Extracting #6: cost 191 inf + 7026 259.594 * * [simplify]: Extracting #7: cost 183 inf + 11651 259.602 * * [simplify]: Extracting #8: cost 137 inf + 19675 259.615 * * [simplify]: Extracting #9: cost 74 inf + 42945 259.644 * * [simplify]: Extracting #10: cost 6 inf + 91178 259.680 * * [simplify]: Extracting #11: cost 0 inf + 93588 259.701 * * [simplify]: Extracting #12: cost 0 inf + 93286 259.720 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 259.720 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 259.721 * * * * [progress]: [ 668 / 5906 ] simplifiying candidate # 259.721 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 259.721 * * [simplify]: iters left: 6 (48 enodes) 259.734 * * [simplify]: iters left: 5 (236 enodes) 259.814 * * [simplify]: Extracting #0: cost 1 inf + 0 259.814 * * [simplify]: Extracting #1: cost 3 inf + 0 259.814 * * [simplify]: Extracting #2: cost 6 inf + 0 259.814 * * [simplify]: Extracting #3: cost 50 inf + 0 259.814 * * [simplify]: Extracting #4: cost 125 inf + 0 259.815 * * [simplify]: Extracting #5: cost 164 inf + 381 259.817 * * [simplify]: Extracting #6: cost 196 inf + 5983 259.822 * * [simplify]: Extracting #7: cost 184 inf + 10853 259.830 * * [simplify]: Extracting #8: cost 112 inf + 28010 259.853 * * [simplify]: Extracting #9: cost 19 inf + 78707 259.886 * * [simplify]: Extracting #10: cost 2 inf + 87861 259.922 * * [simplify]: Extracting #11: cost 0 inf + 90118 259.960 * * [simplify]: Extracting #12: cost 0 inf + 90038 259.998 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 259.998 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 259.999 * * * * [progress]: [ 669 / 5906 ] simplifiying candidate # 260.000 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 260.000 * * [simplify]: iters left: 6 (42 enodes) 260.021 * * [simplify]: iters left: 5 (199 enodes) 260.068 * * [simplify]: Extracting #0: cost 1 inf + 0 260.068 * * [simplify]: Extracting #1: cost 3 inf + 0 260.069 * * [simplify]: Extracting #2: cost 6 inf + 0 260.069 * * [simplify]: Extracting #3: cost 42 inf + 0 260.069 * * [simplify]: Extracting #4: cost 94 inf + 0 260.070 * * [simplify]: Extracting #5: cost 118 inf + 45 260.071 * * [simplify]: Extracting #6: cost 171 inf + 1275 260.073 * * [simplify]: Extracting #7: cost 165 inf + 4616 260.081 * * [simplify]: Extracting #8: cost 84 inf + 25484 260.105 * * [simplify]: Extracting #9: cost 21 inf + 62545 260.132 * * [simplify]: Extracting #10: cost 1 inf + 69138 260.161 * * [simplify]: Extracting #11: cost 0 inf + 67779 260.185 * * [simplify]: Extracting #12: cost 0 inf + 67459 260.200 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))))))) 260.200 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 260.201 * * * * [progress]: [ 670 / 5906 ] simplifiying candidate # 260.201 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 260.201 * * [simplify]: iters left: 6 (47 enodes) 260.214 * * [simplify]: iters left: 5 (228 enodes) 260.308 * * [simplify]: Extracting #0: cost 1 inf + 0 260.308 * * [simplify]: Extracting #1: cost 3 inf + 0 260.308 * * [simplify]: Extracting #2: cost 10 inf + 0 260.308 * * [simplify]: Extracting #3: cost 62 inf + 0 260.309 * * [simplify]: Extracting #4: cost 115 inf + 1 260.309 * * [simplify]: Extracting #5: cost 142 inf + 169 260.311 * * [simplify]: Extracting #6: cost 193 inf + 2889 260.314 * * [simplify]: Extracting #7: cost 188 inf + 6337 260.320 * * [simplify]: Extracting #8: cost 120 inf + 21545 260.338 * * [simplify]: Extracting #9: cost 42 inf + 57322 260.365 * * [simplify]: Extracting #10: cost 15 inf + 73233 260.398 * * [simplify]: Extracting #11: cost 1 inf + 82228 260.435 * * [simplify]: Extracting #12: cost 0 inf + 82773 260.469 * * [simplify]: Extracting #13: cost 0 inf + 82733 260.503 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 260.503 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 260.504 * * * * [progress]: [ 671 / 5906 ] simplifiying candidate # 260.505 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 260.505 * * [simplify]: iters left: 6 (42 enodes) 260.526 * * [simplify]: iters left: 5 (200 enodes) 260.604 * * [simplify]: Extracting #0: cost 1 inf + 0 260.604 * * [simplify]: Extracting #1: cost 3 inf + 0 260.604 * * [simplify]: Extracting #2: cost 10 inf + 0 260.604 * * [simplify]: Extracting #3: cost 50 inf + 0 260.604 * * [simplify]: Extracting #4: cost 88 inf + 86 260.605 * * [simplify]: Extracting #5: cost 97 inf + 1473 260.607 * * [simplify]: Extracting #6: cost 156 inf + 2933 260.609 * * [simplify]: Extracting #7: cost 160 inf + 4615 260.613 * * [simplify]: Extracting #8: cost 114 inf + 14027 260.625 * * [simplify]: Extracting #9: cost 56 inf + 33470 260.646 * * [simplify]: Extracting #10: cost 16 inf + 54535 260.671 * * [simplify]: Extracting #11: cost 0 inf + 63474 260.698 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 260.698 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 260.699 * * * * [progress]: [ 672 / 5906 ] simplifiying candidate # 260.699 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 260.700 * * [simplify]: iters left: 6 (47 enodes) 260.712 * * [simplify]: iters left: 5 (228 enodes) 260.775 * * [simplify]: Extracting #0: cost 1 inf + 0 260.775 * * [simplify]: Extracting #1: cost 3 inf + 0 260.775 * * [simplify]: Extracting #2: cost 10 inf + 0 260.775 * * [simplify]: Extracting #3: cost 62 inf + 0 260.776 * * [simplify]: Extracting #4: cost 115 inf + 1 260.776 * * [simplify]: Extracting #5: cost 140 inf + 423 260.778 * * [simplify]: Extracting #6: cost 189 inf + 4705 260.781 * * [simplify]: Extracting #7: cost 188 inf + 6731 260.787 * * [simplify]: Extracting #8: cost 116 inf + 22615 260.806 * * [simplify]: Extracting #9: cost 42 inf + 57282 260.825 * * [simplify]: Extracting #10: cost 14 inf + 74155 260.845 * * [simplify]: Extracting #11: cost 1 inf + 83108 260.870 * * [simplify]: Extracting #12: cost 0 inf + 83733 260.888 * * [simplify]: Extracting #13: cost 0 inf + 83693 260.906 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 260.906 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 260.907 * * * * [progress]: [ 673 / 5906 ] simplifiying candidate # 260.907 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 260.907 * * [simplify]: iters left: 6 (42 enodes) 260.929 * * [simplify]: iters left: 5 (200 enodes) 261.001 * * [simplify]: Extracting #0: cost 1 inf + 0 261.002 * * [simplify]: Extracting #1: cost 3 inf + 0 261.002 * * [simplify]: Extracting #2: cost 10 inf + 0 261.002 * * [simplify]: Extracting #3: cost 49 inf + 0 261.002 * * [simplify]: Extracting #4: cost 89 inf + 44 261.002 * * [simplify]: Extracting #5: cost 102 inf + 783 261.003 * * [simplify]: Extracting #6: cost 157 inf + 2771 261.004 * * [simplify]: Extracting #7: cost 160 inf + 4615 261.007 * * [simplify]: Extracting #8: cost 99 inf + 17239 261.015 * * [simplify]: Extracting #9: cost 35 inf + 47708 261.028 * * [simplify]: Extracting #10: cost 1 inf + 65455 261.055 * * [simplify]: Extracting #11: cost 0 inf + 63794 261.080 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 261.081 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 261.082 * * * * [progress]: [ 674 / 5906 ] simplifiying candidate # 261.082 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 261.083 * * [simplify]: iters left: 6 (51 enodes) 261.108 * * [simplify]: iters left: 5 (252 enodes) 261.174 * * [simplify]: Extracting #0: cost 1 inf + 0 261.174 * * [simplify]: Extracting #1: cost 3 inf + 0 261.174 * * [simplify]: Extracting #2: cost 6 inf + 0 261.174 * * [simplify]: Extracting #3: cost 52 inf + 0 261.174 * * [simplify]: Extracting #4: cost 120 inf + 0 261.175 * * [simplify]: Extracting #5: cost 189 inf + 0 261.176 * * [simplify]: Extracting #6: cost 267 inf + 1015 261.179 * * [simplify]: Extracting #7: cost 236 inf + 7055 261.188 * * [simplify]: Extracting #8: cost 138 inf + 27973 261.207 * * [simplify]: Extracting #9: cost 81 inf + 48260 261.226 * * [simplify]: Extracting #10: cost 43 inf + 65252 261.260 * * [simplify]: Extracting #11: cost 12 inf + 91745 261.282 * * [simplify]: Extracting #12: cost 1 inf + 103060 261.303 * * [simplify]: Extracting #13: cost 0 inf + 104805 261.329 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 261.329 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 261.329 * * * * [progress]: [ 675 / 5906 ] simplifiying candidate # 261.330 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 261.330 * * [simplify]: iters left: 6 (52 enodes) 261.345 * * [simplify]: iters left: 5 (261 enodes) 261.449 * * [simplify]: Extracting #0: cost 1 inf + 0 261.449 * * [simplify]: Extracting #1: cost 3 inf + 0 261.449 * * [simplify]: Extracting #2: cost 6 inf + 0 261.449 * * [simplify]: Extracting #3: cost 55 inf + 0 261.449 * * [simplify]: Extracting #4: cost 142 inf + 0 261.450 * * [simplify]: Extracting #5: cost 201 inf + 85 261.451 * * [simplify]: Extracting #6: cost 243 inf + 4563 261.457 * * [simplify]: Extracting #7: cost 223 inf + 10546 261.461 * * [simplify]: Extracting #8: cost 141 inf + 27916 261.471 * * [simplify]: Extracting #9: cost 54 inf + 61844 261.488 * * [simplify]: Extracting #10: cost 8 inf + 97018 261.529 * * [simplify]: Extracting #11: cost 1 inf + 105513 261.571 * * [simplify]: Extracting #12: cost 0 inf + 107338 261.614 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 261.614 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 261.615 * * * * [progress]: [ 676 / 5906 ] simplifiying candidate # 261.616 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 261.617 * * [simplify]: iters left: 6 (52 enodes) 261.644 * * [simplify]: iters left: 5 (261 enodes) 261.754 * * [simplify]: Extracting #0: cost 1 inf + 0 261.754 * * [simplify]: Extracting #1: cost 3 inf + 0 261.754 * * [simplify]: Extracting #2: cost 6 inf + 0 261.754 * * [simplify]: Extracting #3: cost 57 inf + 0 261.755 * * [simplify]: Extracting #4: cost 140 inf + 0 261.756 * * [simplify]: Extracting #5: cost 197 inf + 85 261.758 * * [simplify]: Extracting #6: cost 243 inf + 4517 261.763 * * [simplify]: Extracting #7: cost 220 inf + 11556 261.769 * * [simplify]: Extracting #8: cost 164 inf + 19759 261.775 * * [simplify]: Extracting #9: cost 100 inf + 40333 261.787 * * [simplify]: Extracting #10: cost 43 inf + 67775 261.814 * * [simplify]: Extracting #11: cost 9 inf + 95065 261.846 * * [simplify]: Extracting #12: cost 0 inf + 105130 261.869 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 261.869 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 261.870 * * * * [progress]: [ 677 / 5906 ] simplifiying candidate # 261.871 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 261.871 * * [simplify]: iters left: 6 (46 enodes) 261.895 * * [simplify]: iters left: 5 (225 enodes) 261.982 * * [simplify]: Extracting #0: cost 1 inf + 0 261.982 * * [simplify]: Extracting #1: cost 3 inf + 0 261.982 * * [simplify]: Extracting #2: cost 6 inf + 0 261.982 * * [simplify]: Extracting #3: cost 49 inf + 0 261.983 * * [simplify]: Extracting #4: cost 109 inf + 0 261.983 * * [simplify]: Extracting #5: cost 145 inf + 127 261.985 * * [simplify]: Extracting #6: cost 206 inf + 2084 261.988 * * [simplify]: Extracting #7: cost 204 inf + 3709 261.995 * * [simplify]: Extracting #8: cost 127 inf + 19621 262.007 * * [simplify]: Extracting #9: cost 72 inf + 39394 262.020 * * [simplify]: Extracting #10: cost 17 inf + 75215 262.039 * * [simplify]: Extracting #11: cost 0 inf + 87151 262.072 * * [simplify]: Extracting #12: cost 0 inf + 86551 262.107 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1))))) 262.107 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 262.108 * * * * [progress]: [ 678 / 5906 ] simplifiying candidate # 262.108 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 262.109 * * [simplify]: iters left: 6 (51 enodes) 262.135 * * [simplify]: iters left: 5 (253 enodes) 262.231 * * [simplify]: Extracting #0: cost 1 inf + 0 262.231 * * [simplify]: Extracting #1: cost 3 inf + 0 262.231 * * [simplify]: Extracting #2: cost 10 inf + 0 262.232 * * [simplify]: Extracting #3: cost 67 inf + 0 262.232 * * [simplify]: Extracting #4: cost 125 inf + 42 262.233 * * [simplify]: Extracting #5: cost 167 inf + 249 262.235 * * [simplify]: Extracting #6: cost 235 inf + 1759 262.237 * * [simplify]: Extracting #7: cost 221 inf + 6599 262.243 * * [simplify]: Extracting #8: cost 143 inf + 21929 262.254 * * [simplify]: Extracting #9: cost 86 inf + 38556 262.276 * * [simplify]: Extracting #10: cost 43 inf + 63051 262.309 * * [simplify]: Extracting #11: cost 4 inf + 95576 262.345 * * [simplify]: Extracting #12: cost 1 inf + 100291 262.387 * * [simplify]: Extracting #13: cost 0 inf + 102156 262.425 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) 262.425 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 262.426 * * * * [progress]: [ 679 / 5906 ] simplifiying candidate # 262.426 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 262.426 * * [simplify]: iters left: 6 (46 enodes) 262.438 * * [simplify]: iters left: 5 (225 enodes) 262.502 * * [simplify]: Extracting #0: cost 1 inf + 0 262.502 * * [simplify]: Extracting #1: cost 3 inf + 0 262.502 * * [simplify]: Extracting #2: cost 10 inf + 0 262.502 * * [simplify]: Extracting #3: cost 59 inf + 0 262.502 * * [simplify]: Extracting #4: cost 106 inf + 44 262.503 * * [simplify]: Extracting #5: cost 133 inf + 822 262.504 * * [simplify]: Extracting #6: cost 200 inf + 2648 262.506 * * [simplify]: Extracting #7: cost 204 inf + 3343 262.510 * * [simplify]: Extracting #8: cost 118 inf + 27040 262.522 * * [simplify]: Extracting #9: cost 39 inf + 56721 262.538 * * [simplify]: Extracting #10: cost 6 inf + 79332 262.570 * * [simplify]: Extracting #11: cost 0 inf + 83856 262.587 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) 262.587 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 262.588 * * * * [progress]: [ 680 / 5906 ] simplifiying candidate # 262.588 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 262.589 * * [simplify]: iters left: 6 (51 enodes) 262.604 * * [simplify]: iters left: 5 (253 enodes) 262.676 * * [simplify]: Extracting #0: cost 1 inf + 0 262.676 * * [simplify]: Extracting #1: cost 3 inf + 0 262.676 * * [simplify]: Extracting #2: cost 10 inf + 0 262.676 * * [simplify]: Extracting #3: cost 67 inf + 0 262.677 * * [simplify]: Extracting #4: cost 125 inf + 42 262.678 * * [simplify]: Extracting #5: cost 167 inf + 248 262.680 * * [simplify]: Extracting #6: cost 235 inf + 1679 262.682 * * [simplify]: Extracting #7: cost 221 inf + 6358 262.689 * * [simplify]: Extracting #8: cost 140 inf + 23766 262.702 * * [simplify]: Extracting #9: cost 76 inf + 45023 262.717 * * [simplify]: Extracting #10: cost 27 inf + 78474 262.740 * * [simplify]: Extracting #11: cost 3 inf + 96041 262.785 * * [simplify]: Extracting #12: cost 1 inf + 99571 262.808 * * [simplify]: Extracting #13: cost 0 inf + 101356 262.831 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))))))) 262.831 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 262.832 * * * * [progress]: [ 681 / 5906 ] simplifiying candidate # 262.832 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 262.833 * * [simplify]: iters left: 6 (46 enodes) 262.845 * * [simplify]: iters left: 5 (225 enodes) 262.906 * * [simplify]: Extracting #0: cost 1 inf + 0 262.907 * * [simplify]: Extracting #1: cost 3 inf + 0 262.907 * * [simplify]: Extracting #2: cost 10 inf + 0 262.907 * * [simplify]: Extracting #3: cost 58 inf + 0 262.907 * * [simplify]: Extracting #4: cost 106 inf + 44 262.908 * * [simplify]: Extracting #5: cost 134 inf + 740 262.910 * * [simplify]: Extracting #6: cost 198 inf + 2932 262.912 * * [simplify]: Extracting #7: cost 205 inf + 3262 262.920 * * [simplify]: Extracting #8: cost 114 inf + 29315 262.939 * * [simplify]: Extracting #9: cost 40 inf + 56216 262.969 * * [simplify]: Extracting #10: cost 6 inf + 79732 263.002 * * [simplify]: Extracting #11: cost 0 inf + 84256 263.026 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) 263.026 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 263.027 * * * * [progress]: [ 682 / 5906 ] simplifiying candidate # 263.027 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 263.027 * * [simplify]: iters left: 6 (52 enodes) 263.043 * * [simplify]: iters left: 5 (249 enodes) 263.111 * * [simplify]: Extracting #0: cost 1 inf + 0 263.111 * * [simplify]: Extracting #1: cost 3 inf + 0 263.112 * * [simplify]: Extracting #2: cost 6 inf + 0 263.112 * * [simplify]: Extracting #3: cost 46 inf + 0 263.112 * * [simplify]: Extracting #4: cost 112 inf + 0 263.112 * * [simplify]: Extracting #5: cost 183 inf + 0 263.113 * * [simplify]: Extracting #6: cost 266 inf + 45 263.114 * * [simplify]: Extracting #7: cost 230 inf + 6598 263.120 * * [simplify]: Extracting #8: cost 143 inf + 22129 263.127 * * [simplify]: Extracting #9: cost 90 inf + 38909 263.136 * * [simplify]: Extracting #10: cost 52 inf + 54779 263.158 * * [simplify]: Extracting #11: cost 36 inf + 65617 263.181 * * [simplify]: Extracting #12: cost 7 inf + 95422 263.210 * * [simplify]: Extracting #13: cost 1 inf + 103532 263.235 * * [simplify]: Extracting #14: cost 0 inf + 105357 263.266 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 263.266 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 263.266 * * * * [progress]: [ 683 / 5906 ] simplifiying candidate # 263.267 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 263.267 * * [simplify]: iters left: 6 (53 enodes) 263.280 * * [simplify]: iters left: 5 (258 enodes) 263.391 * * [simplify]: Extracting #0: cost 1 inf + 0 263.391 * * [simplify]: Extracting #1: cost 3 inf + 0 263.391 * * [simplify]: Extracting #2: cost 6 inf + 0 263.391 * * [simplify]: Extracting #3: cost 50 inf + 0 263.392 * * [simplify]: Extracting #4: cost 135 inf + 0 263.393 * * [simplify]: Extracting #5: cost 197 inf + 44 263.395 * * [simplify]: Extracting #6: cost 241 inf + 4198 263.400 * * [simplify]: Extracting #7: cost 211 inf + 10370 263.408 * * [simplify]: Extracting #8: cost 139 inf + 24228 263.422 * * [simplify]: Extracting #9: cost 88 inf + 44301 263.443 * * [simplify]: Extracting #10: cost 46 inf + 61624 263.478 * * [simplify]: Extracting #11: cost 11 inf + 93339 263.503 * * [simplify]: Extracting #12: cost 0 inf + 105894 263.541 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 263.542 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 263.543 * * * * [progress]: [ 684 / 5906 ] simplifiying candidate # 263.543 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 263.544 * * [simplify]: iters left: 6 (53 enodes) 263.571 * * [simplify]: iters left: 5 (258 enodes) 263.673 * * [simplify]: Extracting #0: cost 1 inf + 0 263.673 * * [simplify]: Extracting #1: cost 3 inf + 0 263.674 * * [simplify]: Extracting #2: cost 6 inf + 0 263.674 * * [simplify]: Extracting #3: cost 52 inf + 0 263.674 * * [simplify]: Extracting #4: cost 133 inf + 0 263.674 * * [simplify]: Extracting #5: cost 193 inf + 44 263.676 * * [simplify]: Extracting #6: cost 235 inf + 4922 263.678 * * [simplify]: Extracting #7: cost 207 inf + 11511 263.682 * * [simplify]: Extracting #8: cost 130 inf + 24907 263.690 * * [simplify]: Extracting #9: cost 64 inf + 49420 263.701 * * [simplify]: Extracting #10: cost 36 inf + 66506 263.731 * * [simplify]: Extracting #11: cost 7 inf + 94951 263.765 * * [simplify]: Extracting #12: cost 0 inf + 104526 263.789 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 263.789 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 263.789 * * * * [progress]: [ 685 / 5906 ] simplifiying candidate # 263.790 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 263.790 * * [simplify]: iters left: 6 (47 enodes) 263.804 * * [simplify]: iters left: 5 (222 enodes) 263.860 * * [simplify]: Extracting #0: cost 1 inf + 0 263.860 * * [simplify]: Extracting #1: cost 3 inf + 0 263.860 * * [simplify]: Extracting #2: cost 6 inf + 0 263.860 * * [simplify]: Extracting #3: cost 47 inf + 0 263.860 * * [simplify]: Extracting #4: cost 107 inf + 0 263.861 * * [simplify]: Extracting #5: cost 146 inf + 44 263.862 * * [simplify]: Extracting #6: cost 210 inf + 1192 263.865 * * [simplify]: Extracting #7: cost 194 inf + 3798 263.868 * * [simplify]: Extracting #8: cost 159 inf + 8268 263.880 * * [simplify]: Extracting #9: cost 108 inf + 22037 263.895 * * [simplify]: Extracting #10: cost 51 inf + 45151 263.917 * * [simplify]: Extracting #11: cost 10 inf + 74511 263.936 * * [simplify]: Extracting #12: cost 0 inf + 85641 263.959 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 263.959 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 263.960 * * * * [progress]: [ 686 / 5906 ] simplifiying candidate # 263.960 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 263.960 * * [simplify]: iters left: 6 (52 enodes) 263.974 * * [simplify]: iters left: 5 (250 enodes) 264.039 * * [simplify]: Extracting #0: cost 1 inf + 0 264.039 * * [simplify]: Extracting #1: cost 3 inf + 0 264.039 * * [simplify]: Extracting #2: cost 10 inf + 0 264.039 * * [simplify]: Extracting #3: cost 63 inf + 0 264.040 * * [simplify]: Extracting #4: cost 122 inf + 1 264.041 * * [simplify]: Extracting #5: cost 165 inf + 207 264.043 * * [simplify]: Extracting #6: cost 234 inf + 1553 264.046 * * [simplify]: Extracting #7: cost 213 inf + 6042 264.053 * * [simplify]: Extracting #8: cost 138 inf + 21420 264.065 * * [simplify]: Extracting #9: cost 92 inf + 37198 264.079 * * [simplify]: Extracting #10: cost 37 inf + 62212 264.090 * * [simplify]: Extracting #11: cost 29 inf + 67812 264.115 * * [simplify]: Extracting #12: cost 5 inf + 90652 264.144 * * [simplify]: Extracting #13: cost 1 inf + 96832 264.164 * * [simplify]: Extracting #14: cost 0 inf + 98617 264.202 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 264.202 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 264.203 * * * * [progress]: [ 687 / 5906 ] simplifiying candidate # 264.204 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 264.204 * * [simplify]: iters left: 6 (47 enodes) 264.219 * * [simplify]: iters left: 5 (222 enodes) 264.279 * * [simplify]: Extracting #0: cost 1 inf + 0 264.280 * * [simplify]: Extracting #1: cost 3 inf + 0 264.280 * * [simplify]: Extracting #2: cost 10 inf + 0 264.280 * * [simplify]: Extracting #3: cost 58 inf + 0 264.280 * * [simplify]: Extracting #4: cost 104 inf + 44 264.280 * * [simplify]: Extracting #5: cost 131 inf + 942 264.281 * * [simplify]: Extracting #6: cost 195 inf + 2972 264.282 * * [simplify]: Extracting #7: cost 197 inf + 3344 264.285 * * [simplify]: Extracting #8: cost 143 inf + 15303 264.292 * * [simplify]: Extracting #9: cost 69 inf + 42880 264.304 * * [simplify]: Extracting #10: cost 24 inf + 58736 264.329 * * [simplify]: Extracting #11: cost 4 inf + 76183 264.348 * * [simplify]: Extracting #12: cost 1 inf + 80218 264.376 * * [simplify]: Extracting #13: cost 0 inf + 81803 264.408 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) 264.408 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 264.409 * * * * [progress]: [ 688 / 5906 ] simplifiying candidate # 264.410 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 264.410 * * [simplify]: iters left: 6 (52 enodes) 264.436 * * [simplify]: iters left: 5 (250 enodes) 264.537 * * [simplify]: Extracting #0: cost 1 inf + 0 264.537 * * [simplify]: Extracting #1: cost 3 inf + 0 264.537 * * [simplify]: Extracting #2: cost 10 inf + 0 264.538 * * [simplify]: Extracting #3: cost 63 inf + 0 264.538 * * [simplify]: Extracting #4: cost 122 inf + 1 264.539 * * [simplify]: Extracting #5: cost 165 inf + 207 264.541 * * [simplify]: Extracting #6: cost 232 inf + 1636 264.543 * * [simplify]: Extracting #7: cost 212 inf + 5942 264.550 * * [simplify]: Extracting #8: cost 138 inf + 21893 264.563 * * [simplify]: Extracting #9: cost 90 inf + 39326 264.583 * * [simplify]: Extracting #10: cost 37 inf + 63172 264.605 * * [simplify]: Extracting #11: cost 29 inf + 68772 264.632 * * [simplify]: Extracting #12: cost 5 inf + 91612 264.651 * * [simplify]: Extracting #13: cost 1 inf + 97792 264.671 * * [simplify]: Extracting #14: cost 0 inf + 99577 264.703 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 264.703 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 264.704 * * * * [progress]: [ 689 / 5906 ] simplifiying candidate # 264.704 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 264.705 * * [simplify]: iters left: 6 (47 enodes) 264.729 * * [simplify]: iters left: 5 (222 enodes) 264.777 * * [simplify]: Extracting #0: cost 1 inf + 0 264.777 * * [simplify]: Extracting #1: cost 3 inf + 0 264.778 * * [simplify]: Extracting #2: cost 10 inf + 0 264.778 * * [simplify]: Extracting #3: cost 57 inf + 0 264.778 * * [simplify]: Extracting #4: cost 103 inf + 86 264.779 * * [simplify]: Extracting #5: cost 123 inf + 1998 264.781 * * [simplify]: Extracting #6: cost 195 inf + 2932 264.784 * * [simplify]: Extracting #7: cost 197 inf + 3344 264.791 * * [simplify]: Extracting #8: cost 114 inf + 26656 264.807 * * [simplify]: Extracting #9: cost 32 inf + 58497 264.822 * * [simplify]: Extracting #10: cost 5 inf + 76011 264.837 * * [simplify]: Extracting #11: cost 1 inf + 79978 264.863 * * [simplify]: Extracting #12: cost 0 inf + 81523 264.894 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) 264.894 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 264.895 * * * * [progress]: [ 690 / 5906 ] simplifiying candidate # 264.896 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 264.896 * * [simplify]: iters left: 6 (52 enodes) 264.921 * * [simplify]: iters left: 5 (249 enodes) 265.002 * * [simplify]: Extracting #0: cost 1 inf + 0 265.003 * * [simplify]: Extracting #1: cost 3 inf + 0 265.003 * * [simplify]: Extracting #2: cost 6 inf + 0 265.003 * * [simplify]: Extracting #3: cost 46 inf + 0 265.003 * * [simplify]: Extracting #4: cost 112 inf + 0 265.004 * * [simplify]: Extracting #5: cost 179 inf + 0 265.005 * * [simplify]: Extracting #6: cost 259 inf + 211 265.007 * * [simplify]: Extracting #7: cost 210 inf + 9461 265.011 * * [simplify]: Extracting #8: cost 134 inf + 24654 265.018 * * [simplify]: Extracting #9: cost 83 inf + 43862 265.028 * * [simplify]: Extracting #10: cost 45 inf + 58882 265.053 * * [simplify]: Extracting #11: cost 7 inf + 96912 265.075 * * [simplify]: Extracting #12: cost 0 inf + 106127 265.115 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 265.115 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 265.116 * * * * [progress]: [ 691 / 5906 ] simplifiying candidate # 265.117 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 265.117 * * [simplify]: iters left: 6 (53 enodes) 265.144 * * [simplify]: iters left: 5 (258 enodes) 265.208 * * [simplify]: Extracting #0: cost 1 inf + 0 265.208 * * [simplify]: Extracting #1: cost 3 inf + 0 265.208 * * [simplify]: Extracting #2: cost 6 inf + 0 265.208 * * [simplify]: Extracting #3: cost 50 inf + 0 265.208 * * [simplify]: Extracting #4: cost 135 inf + 0 265.209 * * [simplify]: Extracting #5: cost 193 inf + 44 265.210 * * [simplify]: Extracting #6: cost 233 inf + 4366 265.212 * * [simplify]: Extracting #7: cost 192 inf + 14401 265.217 * * [simplify]: Extracting #8: cost 141 inf + 23282 265.222 * * [simplify]: Extracting #9: cost 100 inf + 36255 265.231 * * [simplify]: Extracting #10: cost 57 inf + 54655 265.248 * * [simplify]: Extracting #11: cost 9 inf + 95599 265.286 * * [simplify]: Extracting #12: cost 0 inf + 106184 265.331 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 265.331 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 265.332 * * * * [progress]: [ 692 / 5906 ] simplifiying candidate # 265.332 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 265.333 * * [simplify]: iters left: 6 (53 enodes) 265.350 * * [simplify]: iters left: 5 (258 enodes) 265.432 * * [simplify]: Extracting #0: cost 1 inf + 0 265.432 * * [simplify]: Extracting #1: cost 3 inf + 0 265.432 * * [simplify]: Extracting #2: cost 6 inf + 0 265.432 * * [simplify]: Extracting #3: cost 52 inf + 0 265.433 * * [simplify]: Extracting #4: cost 133 inf + 0 265.434 * * [simplify]: Extracting #5: cost 189 inf + 44 265.436 * * [simplify]: Extracting #6: cost 223 inf + 5899 265.439 * * [simplify]: Extracting #7: cost 185 inf + 15047 265.444 * * [simplify]: Extracting #8: cost 118 inf + 29243 265.452 * * [simplify]: Extracting #9: cost 58 inf + 52457 265.463 * * [simplify]: Extracting #10: cost 34 inf + 67406 265.488 * * [simplify]: Extracting #11: cost 7 inf + 95001 265.510 * * [simplify]: Extracting #12: cost 0 inf + 104896 265.539 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (- (* phi1 phi1) (* phi2 phi2)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 265.539 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (- (* phi1 phi1) (* phi2 phi2)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 265.540 * * * * [progress]: [ 693 / 5906 ] simplifiying candidate # 265.540 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 265.540 * * [simplify]: iters left: 6 (47 enodes) 265.552 * * [simplify]: iters left: 5 (222 enodes) 265.626 * * [simplify]: Extracting #0: cost 1 inf + 0 265.626 * * [simplify]: Extracting #1: cost 3 inf + 0 265.626 * * [simplify]: Extracting #2: cost 6 inf + 0 265.626 * * [simplify]: Extracting #3: cost 47 inf + 0 265.627 * * [simplify]: Extracting #4: cost 107 inf + 0 265.627 * * [simplify]: Extracting #5: cost 142 inf + 44 265.628 * * [simplify]: Extracting #6: cost 203 inf + 1318 265.629 * * [simplify]: Extracting #7: cost 184 inf + 5466 265.632 * * [simplify]: Extracting #8: cost 148 inf + 10859 265.641 * * [simplify]: Extracting #9: cost 97 inf + 29709 265.659 * * [simplify]: Extracting #10: cost 35 inf + 54376 265.682 * * [simplify]: Extracting #11: cost 11 inf + 72536 265.699 * * [simplify]: Extracting #12: cost 0 inf + 84371 265.724 * * [simplify]: Extracting #13: cost 0 inf + 84091 265.757 * * [simplify]: Extracting #14: cost 0 inf + 84051 265.791 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) 265.791 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 265.792 * * * * [progress]: [ 694 / 5906 ] simplifiying candidate # 265.793 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 265.793 * * [simplify]: iters left: 6 (52 enodes) 265.808 * * [simplify]: iters left: 5 (250 enodes) 265.860 * * [simplify]: Extracting #0: cost 1 inf + 0 265.860 * * [simplify]: Extracting #1: cost 3 inf + 0 265.860 * * [simplify]: Extracting #2: cost 10 inf + 0 265.860 * * [simplify]: Extracting #3: cost 63 inf + 0 265.860 * * [simplify]: Extracting #4: cost 122 inf + 1 265.861 * * [simplify]: Extracting #5: cost 161 inf + 207 265.862 * * [simplify]: Extracting #6: cost 229 inf + 1556 265.864 * * [simplify]: Extracting #7: cost 188 inf + 11343 265.874 * * [simplify]: Extracting #8: cost 103 inf + 36303 265.892 * * [simplify]: Extracting #9: cost 49 inf + 54322 265.914 * * [simplify]: Extracting #10: cost 29 inf + 66142 265.937 * * [simplify]: Extracting #11: cost 5 inf + 89862 265.957 * * [simplify]: Extracting #12: cost 1 inf + 94722 265.989 * * [simplify]: Extracting #13: cost 0 inf + 96507 266.010 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 266.010 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 266.011 * * * * [progress]: [ 695 / 5906 ] simplifiying candidate # 266.011 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 266.012 * * [simplify]: iters left: 6 (47 enodes) 266.025 * * [simplify]: iters left: 5 (222 enodes) 266.085 * * [simplify]: Extracting #0: cost 1 inf + 0 266.085 * * [simplify]: Extracting #1: cost 3 inf + 0 266.085 * * [simplify]: Extracting #2: cost 10 inf + 0 266.085 * * [simplify]: Extracting #3: cost 58 inf + 0 266.086 * * [simplify]: Extracting #4: cost 104 inf + 44 266.086 * * [simplify]: Extracting #5: cost 127 inf + 862 266.087 * * [simplify]: Extracting #6: cost 190 inf + 2814 266.088 * * [simplify]: Extracting #7: cost 183 inf + 4897 266.091 * * [simplify]: Extracting #8: cost 129 inf + 17388 266.098 * * [simplify]: Extracting #9: cost 78 inf + 37193 266.110 * * [simplify]: Extracting #10: cost 25 inf + 58881 266.134 * * [simplify]: Extracting #11: cost 3 inf + 77378 266.154 * * [simplify]: Extracting #12: cost 1 inf + 80508 266.171 * * [simplify]: Extracting #13: cost 0 inf + 82093 266.194 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) 266.194 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 266.195 * * * * [progress]: [ 696 / 5906 ] simplifiying candidate # 266.196 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 266.196 * * [simplify]: iters left: 6 (52 enodes) 266.214 * * [simplify]: iters left: 5 (250 enodes) 266.274 * * [simplify]: Extracting #0: cost 1 inf + 0 266.274 * * [simplify]: Extracting #1: cost 3 inf + 0 266.274 * * [simplify]: Extracting #2: cost 10 inf + 0 266.274 * * [simplify]: Extracting #3: cost 63 inf + 0 266.274 * * [simplify]: Extracting #4: cost 122 inf + 1 266.275 * * [simplify]: Extracting #5: cost 161 inf + 207 266.275 * * [simplify]: Extracting #6: cost 227 inf + 1679 266.278 * * [simplify]: Extracting #7: cost 185 inf + 12689 266.284 * * [simplify]: Extracting #8: cost 105 inf + 35603 266.292 * * [simplify]: Extracting #9: cost 52 inf + 54007 266.313 * * [simplify]: Extracting #10: cost 29 inf + 67102 266.330 * * [simplify]: Extracting #11: cost 5 inf + 90822 266.357 * * [simplify]: Extracting #12: cost 1 inf + 95682 266.377 * * [simplify]: Extracting #13: cost 0 inf + 97467 266.404 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 266.404 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 266.404 * * * * [progress]: [ 697 / 5906 ] simplifiying candidate # 266.405 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 266.405 * * [simplify]: iters left: 6 (47 enodes) 266.417 * * [simplify]: iters left: 5 (222 enodes) 266.473 * * [simplify]: Extracting #0: cost 1 inf + 0 266.473 * * [simplify]: Extracting #1: cost 3 inf + 0 266.473 * * [simplify]: Extracting #2: cost 10 inf + 0 266.473 * * [simplify]: Extracting #3: cost 57 inf + 0 266.473 * * [simplify]: Extracting #4: cost 103 inf + 86 266.474 * * [simplify]: Extracting #5: cost 120 inf + 1836 266.475 * * [simplify]: Extracting #6: cost 189 inf + 2976 266.476 * * [simplify]: Extracting #7: cost 183 inf + 4897 266.480 * * [simplify]: Extracting #8: cost 104 inf + 26743 266.499 * * [simplify]: Extracting #9: cost 33 inf + 57024 266.526 * * [simplify]: Extracting #10: cost 4 inf + 77566 266.552 * * [simplify]: Extracting #11: cost 0 inf + 82493 266.568 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) 266.568 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 266.569 * * * * [progress]: [ 698 / 5906 ] simplifiying candidate # 266.569 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 266.569 * * [simplify]: iters left: 6 (52 enodes) 266.588 * * [simplify]: iters left: 5 (250 enodes) 266.688 * * [simplify]: Extracting #0: cost 1 inf + 0 266.688 * * [simplify]: Extracting #1: cost 3 inf + 0 266.688 * * [simplify]: Extracting #2: cost 6 inf + 0 266.688 * * [simplify]: Extracting #3: cost 46 inf + 0 266.688 * * [simplify]: Extracting #4: cost 112 inf + 0 266.689 * * [simplify]: Extracting #5: cost 182 inf + 0 266.689 * * [simplify]: Extracting #6: cost 266 inf + 45 266.691 * * [simplify]: Extracting #7: cost 215 inf + 7012 266.696 * * [simplify]: Extracting #8: cost 121 inf + 29012 266.704 * * [simplify]: Extracting #9: cost 65 inf + 48568 266.720 * * [simplify]: Extracting #10: cost 19 inf + 89660 266.746 * * [simplify]: Extracting #11: cost 5 inf + 99876 266.774 * * [simplify]: Extracting #12: cost 0 inf + 104397 266.808 * * [simplify]: Extracting #13: cost 0 inf + 104357 266.829 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 266.829 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 266.830 * * * * [progress]: [ 699 / 5906 ] simplifiying candidate # 266.830 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 266.830 * * [simplify]: iters left: 6 (53 enodes) 266.850 * * [simplify]: iters left: 5 (259 enodes) 266.921 * * [simplify]: Extracting #0: cost 1 inf + 0 266.921 * * [simplify]: Extracting #1: cost 3 inf + 0 266.921 * * [simplify]: Extracting #2: cost 6 inf + 0 266.921 * * [simplify]: Extracting #3: cost 50 inf + 0 266.921 * * [simplify]: Extracting #4: cost 135 inf + 0 266.922 * * [simplify]: Extracting #5: cost 196 inf + 44 266.923 * * [simplify]: Extracting #6: cost 243 inf + 3954 266.925 * * [simplify]: Extracting #7: cost 213 inf + 10247 266.929 * * [simplify]: Extracting #8: cost 143 inf + 22943 266.935 * * [simplify]: Extracting #9: cost 110 inf + 31615 266.945 * * [simplify]: Extracting #10: cost 69 inf + 48883 266.969 * * [simplify]: Extracting #11: cost 35 inf + 70219 266.993 * * [simplify]: Extracting #12: cost 6 inf + 101504 267.027 * * [simplify]: Extracting #13: cost 0 inf + 109654 267.056 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 267.056 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 267.057 * * * * [progress]: [ 700 / 5906 ] simplifiying candidate # 267.057 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 267.058 * * [simplify]: iters left: 6 (53 enodes) 267.074 * * [simplify]: iters left: 5 (259 enodes) 267.177 * * [simplify]: Extracting #0: cost 1 inf + 0 267.177 * * [simplify]: Extracting #1: cost 3 inf + 0 267.177 * * [simplify]: Extracting #2: cost 6 inf + 0 267.177 * * [simplify]: Extracting #3: cost 52 inf + 0 267.177 * * [simplify]: Extracting #4: cost 133 inf + 0 267.178 * * [simplify]: Extracting #5: cost 192 inf + 44 267.179 * * [simplify]: Extracting #6: cost 236 inf + 4960 267.181 * * [simplify]: Extracting #7: cost 211 inf + 10564 267.186 * * [simplify]: Extracting #8: cost 119 inf + 33264 267.196 * * [simplify]: Extracting #9: cost 49 inf + 60197 267.214 * * [simplify]: Extracting #10: cost 10 inf + 93636 267.238 * * [simplify]: Extracting #11: cost 0 inf + 105966 267.259 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 267.260 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 267.260 * * * * [progress]: [ 701 / 5906 ] simplifiying candidate # 267.261 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 267.261 * * [simplify]: iters left: 6 (47 enodes) 267.273 * * [simplify]: iters left: 5 (223 enodes) 267.340 * * [simplify]: Extracting #0: cost 1 inf + 0 267.340 * * [simplify]: Extracting #1: cost 3 inf + 0 267.340 * * [simplify]: Extracting #2: cost 6 inf + 0 267.340 * * [simplify]: Extracting #3: cost 47 inf + 0 267.341 * * [simplify]: Extracting #4: cost 107 inf + 0 267.341 * * [simplify]: Extracting #5: cost 145 inf + 44 267.342 * * [simplify]: Extracting #6: cost 209 inf + 1274 267.343 * * [simplify]: Extracting #7: cost 202 inf + 3103 267.347 * * [simplify]: Extracting #8: cost 133 inf + 17622 267.363 * * [simplify]: Extracting #9: cost 58 inf + 46721 267.391 * * [simplify]: Extracting #10: cost 11 inf + 78392 267.425 * * [simplify]: Extracting #11: cost 0 inf + 87281 267.442 * * [simplify]: Extracting #12: cost 0 inf + 86041 267.463 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 267.463 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 267.463 * * * * [progress]: [ 702 / 5906 ] simplifiying candidate # 267.464 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 267.464 * * [simplify]: iters left: 6 (52 enodes) 267.477 * * [simplify]: iters left: 5 (251 enodes) 267.532 * * [simplify]: Extracting #0: cost 1 inf + 0 267.532 * * [simplify]: Extracting #1: cost 3 inf + 0 267.532 * * [simplify]: Extracting #2: cost 10 inf + 0 267.532 * * [simplify]: Extracting #3: cost 63 inf + 0 267.532 * * [simplify]: Extracting #4: cost 122 inf + 1 267.533 * * [simplify]: Extracting #5: cost 164 inf + 207 267.536 * * [simplify]: Extracting #6: cost 231 inf + 1999 267.537 * * [simplify]: Extracting #7: cost 213 inf + 6120 267.541 * * [simplify]: Extracting #8: cost 121 inf + 27608 267.551 * * [simplify]: Extracting #9: cost 51 inf + 53637 267.576 * * [simplify]: Extracting #10: cost 7 inf + 92162 267.597 * * [simplify]: Extracting #11: cost 1 inf + 98312 267.635 * * [simplify]: Extracting #12: cost 0 inf + 100097 267.676 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))))))))) 267.676 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 267.677 * * * * [progress]: [ 703 / 5906 ] simplifiying candidate # 267.677 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 267.677 * * [simplify]: iters left: 6 (47 enodes) 267.690 * * [simplify]: iters left: 5 (223 enodes) 267.742 * * [simplify]: Extracting #0: cost 1 inf + 0 267.742 * * [simplify]: Extracting #1: cost 3 inf + 0 267.742 * * [simplify]: Extracting #2: cost 10 inf + 0 267.742 * * [simplify]: Extracting #3: cost 58 inf + 0 267.742 * * [simplify]: Extracting #4: cost 104 inf + 44 267.743 * * [simplify]: Extracting #5: cost 131 inf + 820 267.744 * * [simplify]: Extracting #6: cost 195 inf + 2972 267.745 * * [simplify]: Extracting #7: cost 198 inf + 3303 267.748 * * [simplify]: Extracting #8: cost 132 inf + 17854 267.759 * * [simplify]: Extracting #9: cost 60 inf + 43889 267.785 * * [simplify]: Extracting #10: cost 6 inf + 78342 267.801 * * [simplify]: Extracting #11: cost 0 inf + 81603 267.817 * * [simplify]: Extracting #12: cost 0 inf + 81443 267.835 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) 267.835 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 267.836 * * * * [progress]: [ 704 / 5906 ] simplifiying candidate # 267.836 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 267.837 * * [simplify]: iters left: 6 (52 enodes) 267.850 * * [simplify]: iters left: 5 (251 enodes) 267.923 * * [simplify]: Extracting #0: cost 1 inf + 0 267.923 * * [simplify]: Extracting #1: cost 3 inf + 0 267.923 * * [simplify]: Extracting #2: cost 10 inf + 0 267.923 * * [simplify]: Extracting #3: cost 63 inf + 0 267.924 * * [simplify]: Extracting #4: cost 122 inf + 1 267.925 * * [simplify]: Extracting #5: cost 164 inf + 207 267.926 * * [simplify]: Extracting #6: cost 231 inf + 1797 267.929 * * [simplify]: Extracting #7: cost 214 inf + 5868 267.935 * * [simplify]: Extracting #8: cost 122 inf + 26869 267.944 * * [simplify]: Extracting #9: cost 51 inf + 54197 267.960 * * [simplify]: Extracting #10: cost 7 inf + 91882 267.999 * * [simplify]: Extracting #11: cost 1 inf + 99072 268.020 * * [simplify]: Extracting #12: cost 0 inf + 100897 268.057 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 268.058 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 268.059 * * * * [progress]: [ 705 / 5906 ] simplifiying candidate # 268.059 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 268.060 * * [simplify]: iters left: 6 (47 enodes) 268.085 * * [simplify]: iters left: 5 (223 enodes) 268.163 * * [simplify]: Extracting #0: cost 1 inf + 0 268.163 * * [simplify]: Extracting #1: cost 3 inf + 0 268.163 * * [simplify]: Extracting #2: cost 10 inf + 0 268.164 * * [simplify]: Extracting #3: cost 57 inf + 0 268.164 * * [simplify]: Extracting #4: cost 103 inf + 86 268.164 * * [simplify]: Extracting #5: cost 125 inf + 1512 268.165 * * [simplify]: Extracting #6: cost 195 inf + 2932 268.166 * * [simplify]: Extracting #7: cost 195 inf + 3547 268.169 * * [simplify]: Extracting #8: cost 133 inf + 17773 268.176 * * [simplify]: Extracting #9: cost 59 inf + 44794 268.191 * * [simplify]: Extracting #10: cost 7 inf + 78499 268.212 * * [simplify]: Extracting #11: cost 0 inf + 82163 268.232 * * [simplify]: Extracting #12: cost 0 inf + 81843 268.249 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) 268.249 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 268.250 * * * * [progress]: [ 706 / 5906 ] simplifiying candidate # 268.250 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 268.251 * * [simplify]: iters left: 6 (52 enodes) 268.277 * * [simplify]: iters left: 5 (250 enodes) 268.380 * * [simplify]: Extracting #0: cost 1 inf + 0 268.380 * * [simplify]: Extracting #1: cost 3 inf + 0 268.380 * * [simplify]: Extracting #2: cost 6 inf + 0 268.381 * * [simplify]: Extracting #3: cost 46 inf + 0 268.381 * * [simplify]: Extracting #4: cost 112 inf + 0 268.382 * * [simplify]: Extracting #5: cost 179 inf + 0 268.383 * * [simplify]: Extracting #6: cost 258 inf + 253 268.387 * * [simplify]: Extracting #7: cost 206 inf + 9050 268.397 * * [simplify]: Extracting #8: cost 116 inf + 29675 268.410 * * [simplify]: Extracting #9: cost 66 inf + 48153 268.426 * * [simplify]: Extracting #10: cost 16 inf + 92364 268.455 * * [simplify]: Extracting #11: cost 1 inf + 103302 268.490 * * [simplify]: Extracting #12: cost 0 inf + 105007 268.528 * * [simplify]: Extracting #13: cost 0 inf + 104967 268.566 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1))))))) 268.566 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 268.567 * * * * [progress]: [ 707 / 5906 ] simplifiying candidate # 268.568 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 268.568 * * [simplify]: iters left: 6 (53 enodes) 268.597 * * [simplify]: iters left: 5 (259 enodes) 268.681 * * [simplify]: Extracting #0: cost 1 inf + 0 268.681 * * [simplify]: Extracting #1: cost 3 inf + 0 268.681 * * [simplify]: Extracting #2: cost 6 inf + 0 268.681 * * [simplify]: Extracting #3: cost 50 inf + 0 268.682 * * [simplify]: Extracting #4: cost 135 inf + 0 268.683 * * [simplify]: Extracting #5: cost 193 inf + 44 268.685 * * [simplify]: Extracting #6: cost 228 inf + 5258 268.691 * * [simplify]: Extracting #7: cost 192 inf + 14182 268.701 * * [simplify]: Extracting #8: cost 120 inf + 29808 268.718 * * [simplify]: Extracting #9: cost 61 inf + 51653 268.750 * * [simplify]: Extracting #10: cost 9 inf + 96679 268.794 * * [simplify]: Extracting #11: cost 0 inf + 107504 268.819 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 268.819 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 268.820 * * * * [progress]: [ 708 / 5906 ] simplifiying candidate # 268.820 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 268.821 * * [simplify]: iters left: 6 (53 enodes) 268.844 * * [simplify]: iters left: 5 (259 enodes) 268.924 * * [simplify]: Extracting #0: cost 1 inf + 0 268.924 * * [simplify]: Extracting #1: cost 3 inf + 0 268.924 * * [simplify]: Extracting #2: cost 6 inf + 0 268.924 * * [simplify]: Extracting #3: cost 52 inf + 0 268.925 * * [simplify]: Extracting #4: cost 133 inf + 0 268.925 * * [simplify]: Extracting #5: cost 189 inf + 44 268.926 * * [simplify]: Extracting #6: cost 228 inf + 4928 268.929 * * [simplify]: Extracting #7: cost 184 inf + 15311 268.934 * * [simplify]: Extracting #8: cost 118 inf + 31226 268.944 * * [simplify]: Extracting #9: cost 49 inf + 59007 268.973 * * [simplify]: Extracting #10: cost 10 inf + 92486 269.014 * * [simplify]: Extracting #11: cost 0 inf + 105056 269.052 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 269.052 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 269.053 * * * * [progress]: [ 709 / 5906 ] simplifiying candidate # 269.053 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 269.054 * * [simplify]: iters left: 6 (47 enodes) 269.065 * * [simplify]: iters left: 5 (223 enodes) 269.136 * * [simplify]: Extracting #0: cost 1 inf + 0 269.137 * * [simplify]: Extracting #1: cost 3 inf + 0 269.137 * * [simplify]: Extracting #2: cost 6 inf + 0 269.137 * * [simplify]: Extracting #3: cost 47 inf + 0 269.137 * * [simplify]: Extracting #4: cost 107 inf + 0 269.138 * * [simplify]: Extracting #5: cost 142 inf + 44 269.140 * * [simplify]: Extracting #6: cost 203 inf + 1318 269.142 * * [simplify]: Extracting #7: cost 186 inf + 5263 269.149 * * [simplify]: Extracting #8: cost 124 inf + 18746 269.165 * * [simplify]: Extracting #9: cost 59 inf + 45866 269.179 * * [simplify]: Extracting #10: cost 12 inf + 75737 269.196 * * [simplify]: Extracting #11: cost 0 inf + 86251 269.221 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) 269.222 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 269.223 * * * * [progress]: [ 710 / 5906 ] simplifiying candidate # 269.223 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 269.224 * * [simplify]: iters left: 6 (52 enodes) 269.251 * * [simplify]: iters left: 5 (251 enodes) 269.355 * * [simplify]: Extracting #0: cost 1 inf + 0 269.355 * * [simplify]: Extracting #1: cost 3 inf + 0 269.355 * * [simplify]: Extracting #2: cost 10 inf + 0 269.355 * * [simplify]: Extracting #3: cost 63 inf + 0 269.356 * * [simplify]: Extracting #4: cost 122 inf + 1 269.356 * * [simplify]: Extracting #5: cost 161 inf + 207 269.358 * * [simplify]: Extracting #6: cost 224 inf + 2084 269.361 * * [simplify]: Extracting #7: cost 191 inf + 10203 269.370 * * [simplify]: Extracting #8: cost 118 inf + 26888 269.386 * * [simplify]: Extracting #9: cost 55 inf + 50848 269.416 * * [simplify]: Extracting #10: cost 7 inf + 89412 269.455 * * [simplify]: Extracting #11: cost 1 inf + 96082 269.493 * * [simplify]: Extracting #12: cost 0 inf + 97867 269.531 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))))))))) 269.531 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 269.532 * * * * [progress]: [ 711 / 5906 ] simplifiying candidate # 269.533 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 269.533 * * [simplify]: iters left: 6 (47 enodes) 269.557 * * [simplify]: iters left: 5 (223 enodes) 269.647 * * [simplify]: Extracting #0: cost 1 inf + 0 269.647 * * [simplify]: Extracting #1: cost 3 inf + 0 269.647 * * [simplify]: Extracting #2: cost 10 inf + 0 269.647 * * [simplify]: Extracting #3: cost 58 inf + 0 269.647 * * [simplify]: Extracting #4: cost 104 inf + 44 269.648 * * [simplify]: Extracting #5: cost 128 inf + 820 269.650 * * [simplify]: Extracting #6: cost 189 inf + 3016 269.653 * * [simplify]: Extracting #7: cost 182 inf + 5181 269.659 * * [simplify]: Extracting #8: cost 121 inf + 18921 269.674 * * [simplify]: Extracting #9: cost 58 inf + 42743 269.699 * * [simplify]: Extracting #10: cost 8 inf + 75937 269.717 * * [simplify]: Extracting #11: cost 0 inf + 82253 269.734 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) 269.734 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 269.735 * * * * [progress]: [ 712 / 5906 ] simplifiying candidate # 269.735 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 269.735 * * [simplify]: iters left: 6 (52 enodes) 269.762 * * [simplify]: iters left: 5 (251 enodes) 269.833 * * [simplify]: Extracting #0: cost 1 inf + 0 269.833 * * [simplify]: Extracting #1: cost 3 inf + 0 269.833 * * [simplify]: Extracting #2: cost 10 inf + 0 269.833 * * [simplify]: Extracting #3: cost 63 inf + 0 269.833 * * [simplify]: Extracting #4: cost 122 inf + 1 269.834 * * [simplify]: Extracting #5: cost 161 inf + 207 269.835 * * [simplify]: Extracting #6: cost 223 inf + 2084 269.837 * * [simplify]: Extracting #7: cost 193 inf + 9669 269.848 * * [simplify]: Extracting #8: cost 118 inf + 26464 269.863 * * [simplify]: Extracting #9: cost 55 inf + 51408 269.893 * * [simplify]: Extracting #10: cost 7 inf + 89492 269.931 * * [simplify]: Extracting #11: cost 1 inf + 96002 269.969 * * [simplify]: Extracting #12: cost 0 inf + 97747 269.991 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 269.992 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 269.992 * * * * [progress]: [ 713 / 5906 ] simplifiying candidate # 269.992 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 269.993 * * [simplify]: iters left: 6 (47 enodes) 270.007 * * [simplify]: iters left: 5 (223 enodes) 270.088 * * [simplify]: Extracting #0: cost 1 inf + 0 270.088 * * [simplify]: Extracting #1: cost 3 inf + 0 270.088 * * [simplify]: Extracting #2: cost 10 inf + 0 270.088 * * [simplify]: Extracting #3: cost 57 inf + 0 270.089 * * [simplify]: Extracting #4: cost 103 inf + 86 270.090 * * [simplify]: Extracting #5: cost 122 inf + 1512 270.092 * * [simplify]: Extracting #6: cost 189 inf + 2976 270.095 * * [simplify]: Extracting #7: cost 181 inf + 5302 270.102 * * [simplify]: Extracting #8: cost 122 inf + 18840 270.117 * * [simplify]: Extracting #9: cost 58 inf + 42903 270.147 * * [simplify]: Extracting #10: cost 8 inf + 76608 270.179 * * [simplify]: Extracting #11: cost 0 inf + 82653 270.211 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) 270.211 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 270.212 * * * * [progress]: [ 714 / 5906 ] simplifiying candidate # 270.212 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 270.213 * * [simplify]: iters left: 6 (51 enodes) 270.239 * * [simplify]: iters left: 5 (256 enodes) 270.319 * * [simplify]: Extracting #0: cost 1 inf + 0 270.320 * * [simplify]: Extracting #1: cost 3 inf + 0 270.320 * * [simplify]: Extracting #2: cost 6 inf + 0 270.320 * * [simplify]: Extracting #3: cost 56 inf + 0 270.320 * * [simplify]: Extracting #4: cost 130 inf + 0 270.320 * * [simplify]: Extracting #5: cost 213 inf + 0 270.321 * * [simplify]: Extracting #6: cost 311 inf + 510 270.323 * * [simplify]: Extracting #7: cost 274 inf + 8534 270.326 * * [simplify]: Extracting #8: cost 191 inf + 23745 270.333 * * [simplify]: Extracting #9: cost 118 inf + 41318 270.355 * * [simplify]: Extracting #10: cost 60 inf + 69958 270.397 * * [simplify]: Extracting #11: cost 6 inf + 118572 270.448 * * [simplify]: Extracting #12: cost 1 inf + 126137 270.488 * * [simplify]: Extracting #13: cost 0 inf + 128162 270.525 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) 270.525 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 270.526 * * * * [progress]: [ 715 / 5906 ] simplifiying candidate # 270.527 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 270.527 * * [simplify]: iters left: 6 (52 enodes) 270.555 * * [simplify]: iters left: 5 (265 enodes) 270.655 * * [simplify]: Extracting #0: cost 1 inf + 0 270.655 * * [simplify]: Extracting #1: cost 3 inf + 0 270.655 * * [simplify]: Extracting #2: cost 6 inf + 0 270.655 * * [simplify]: Extracting #3: cost 60 inf + 0 270.656 * * [simplify]: Extracting #4: cost 153 inf + 0 270.656 * * [simplify]: Extracting #5: cost 226 inf + 85 270.658 * * [simplify]: Extracting #6: cost 292 inf + 3831 270.660 * * [simplify]: Extracting #7: cost 257 inf + 11362 270.665 * * [simplify]: Extracting #8: cost 176 inf + 28771 270.684 * * [simplify]: Extracting #9: cost 96 inf + 58551 270.716 * * [simplify]: Extracting #10: cost 39 inf + 90004 270.761 * * [simplify]: Extracting #11: cost 4 inf + 123879 270.811 * * [simplify]: Extracting #12: cost 1 inf + 129194 270.863 * * [simplify]: Extracting #13: cost 0 inf + 131299 270.906 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 270.906 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 270.906 * * * * [progress]: [ 716 / 5906 ] simplifiying candidate # 270.907 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 270.907 * * [simplify]: iters left: 6 (52 enodes) 270.922 * * [simplify]: iters left: 5 (265 enodes) 271.021 * * [simplify]: Extracting #0: cost 1 inf + 0 271.021 * * [simplify]: Extracting #1: cost 3 inf + 0 271.021 * * [simplify]: Extracting #2: cost 6 inf + 0 271.021 * * [simplify]: Extracting #3: cost 62 inf + 0 271.022 * * [simplify]: Extracting #4: cost 151 inf + 0 271.023 * * [simplify]: Extracting #5: cost 222 inf + 85 271.025 * * [simplify]: Extracting #6: cost 291 inf + 3265 271.030 * * [simplify]: Extracting #7: cost 259 inf + 11062 271.039 * * [simplify]: Extracting #8: cost 179 inf + 28364 271.057 * * [simplify]: Extracting #9: cost 96 inf + 57520 271.075 * * [simplify]: Extracting #10: cost 49 inf + 82367 271.095 * * [simplify]: Extracting #11: cost 14 inf + 113181 271.122 * * [simplify]: Extracting #12: cost 0 inf + 131731 271.149 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) 271.149 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 271.150 * * * * [progress]: [ 717 / 5906 ] simplifiying candidate # 271.151 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 271.151 * * [simplify]: iters left: 6 (46 enodes) 271.163 * * [simplify]: iters left: 5 (229 enodes) 271.238 * * [simplify]: Extracting #0: cost 1 inf + 0 271.239 * * [simplify]: Extracting #1: cost 3 inf + 0 271.239 * * [simplify]: Extracting #2: cost 6 inf + 0 271.239 * * [simplify]: Extracting #3: cost 54 inf + 0 271.239 * * [simplify]: Extracting #4: cost 119 inf + 0 271.240 * * [simplify]: Extracting #5: cost 170 inf + 126 271.242 * * [simplify]: Extracting #6: cost 253 inf + 1072 271.245 * * [simplify]: Extracting #7: cost 246 inf + 3506 271.251 * * [simplify]: Extracting #8: cost 184 inf + 12750 271.265 * * [simplify]: Extracting #9: cost 118 inf + 32699 271.287 * * [simplify]: Extracting #10: cost 49 inf + 63236 271.314 * * [simplify]: Extracting #11: cost 7 inf + 98375 271.336 * * [simplify]: Extracting #12: cost 0 inf + 106230 271.382 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ phi2 phi1))))) 271.382 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 271.383 * * * * [progress]: [ 718 / 5906 ] simplifiying candidate # 271.384 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 271.384 * * [simplify]: iters left: 6 (51 enodes) 271.411 * * [simplify]: iters left: 5 (257 enodes) 271.501 * * [simplify]: Extracting #0: cost 1 inf + 0 271.501 * * [simplify]: Extracting #1: cost 3 inf + 0 271.502 * * [simplify]: Extracting #2: cost 10 inf + 0 271.502 * * [simplify]: Extracting #3: cost 74 inf + 0 271.502 * * [simplify]: Extracting #4: cost 136 inf + 42 271.502 * * [simplify]: Extracting #5: cost 192 inf + 249 271.504 * * [simplify]: Extracting #6: cost 278 inf + 1717 271.505 * * [simplify]: Extracting #7: cost 252 inf + 9192 271.510 * * [simplify]: Extracting #8: cost 147 inf + 33881 271.519 * * [simplify]: Extracting #9: cost 77 inf + 55604 271.539 * * [simplify]: Extracting #10: cost 13 inf + 106745 271.564 * * [simplify]: Extracting #11: cost 1 inf + 120056 271.598 * * [simplify]: Extracting #12: cost 0 inf + 122081 271.647 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 271.647 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 271.648 * * * * [progress]: [ 719 / 5906 ] simplifiying candidate # 271.649 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 271.649 * * [simplify]: iters left: 6 (46 enodes) 271.671 * * [simplify]: iters left: 5 (229 enodes) 271.729 * * [simplify]: Extracting #0: cost 1 inf + 0 271.729 * * [simplify]: Extracting #1: cost 3 inf + 0 271.729 * * [simplify]: Extracting #2: cost 10 inf + 0 271.729 * * [simplify]: Extracting #3: cost 66 inf + 0 271.729 * * [simplify]: Extracting #4: cost 117 inf + 44 271.730 * * [simplify]: Extracting #5: cost 160 inf + 618 271.732 * * [simplify]: Extracting #6: cost 241 inf + 2770 271.735 * * [simplify]: Extracting #7: cost 245 inf + 3584 271.739 * * [simplify]: Extracting #8: cost 197 inf + 9798 271.748 * * [simplify]: Extracting #9: cost 122 inf + 28689 271.765 * * [simplify]: Extracting #10: cost 54 inf + 57934 271.784 * * [simplify]: Extracting #11: cost 7 inf + 95025 271.810 * * [simplify]: Extracting #12: cost 0 inf + 102480 271.834 * * [simplify]: Extracting #13: cost 0 inf + 102240 271.860 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) 271.860 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 271.860 * * * * [progress]: [ 720 / 5906 ] simplifiying candidate # 271.861 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 271.861 * * [simplify]: iters left: 6 (51 enodes) 271.875 * * [simplify]: iters left: 5 (257 enodes) 271.984 * * [simplify]: Extracting #0: cost 1 inf + 0 271.985 * * [simplify]: Extracting #1: cost 3 inf + 0 271.985 * * [simplify]: Extracting #2: cost 10 inf + 0 271.985 * * [simplify]: Extracting #3: cost 74 inf + 0 271.985 * * [simplify]: Extracting #4: cost 136 inf + 42 271.987 * * [simplify]: Extracting #5: cost 192 inf + 248 271.988 * * [simplify]: Extracting #6: cost 279 inf + 1594 271.992 * * [simplify]: Extracting #7: cost 253 inf + 9180 272.002 * * [simplify]: Extracting #8: cost 144 inf + 37423 272.023 * * [simplify]: Extracting #9: cost 69 inf + 62124 272.060 * * [simplify]: Extracting #10: cost 14 inf + 105661 272.108 * * [simplify]: Extracting #11: cost 1 inf + 119856 272.137 * * [simplify]: Extracting #12: cost 0 inf + 121841 272.185 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 272.185 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 272.187 * * * * [progress]: [ 721 / 5906 ] simplifiying candidate # 272.187 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 272.188 * * [simplify]: iters left: 6 (46 enodes) 272.210 * * [simplify]: iters left: 5 (229 enodes) 272.280 * * [simplify]: Extracting #0: cost 1 inf + 0 272.280 * * [simplify]: Extracting #1: cost 3 inf + 0 272.280 * * [simplify]: Extracting #2: cost 10 inf + 0 272.280 * * [simplify]: Extracting #3: cost 65 inf + 0 272.281 * * [simplify]: Extracting #4: cost 116 inf + 86 272.282 * * [simplify]: Extracting #5: cost 152 inf + 1594 272.284 * * [simplify]: Extracting #6: cost 240 inf + 2932 272.286 * * [simplify]: Extracting #7: cost 245 inf + 3584 272.291 * * [simplify]: Extracting #8: cost 195 inf + 10282 272.300 * * [simplify]: Extracting #9: cost 121 inf + 28546 272.319 * * [simplify]: Extracting #10: cost 50 inf + 60476 272.354 * * [simplify]: Extracting #11: cost 6 inf + 96210 272.393 * * [simplify]: Extracting #12: cost 0 inf + 102880 272.428 * * [simplify]: Extracting #13: cost 0 inf + 102640 272.449 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) 272.449 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 272.450 * * * * [progress]: [ 722 / 5906 ] simplifiying candidate # 272.450 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 272.450 * * [simplify]: iters left: 6 (47 enodes) 272.472 * * [simplify]: iters left: 5 (228 enodes) 272.561 * * [simplify]: Extracting #0: cost 1 inf + 0 272.561 * * [simplify]: Extracting #1: cost 3 inf + 0 272.561 * * [simplify]: Extracting #2: cost 6 inf + 0 272.561 * * [simplify]: Extracting #3: cost 48 inf + 0 272.561 * * [simplify]: Extracting #4: cost 112 inf + 0 272.562 * * [simplify]: Extracting #5: cost 184 inf + 0 272.562 * * [simplify]: Extracting #6: cost 248 inf + 3318 272.564 * * [simplify]: Extracting #7: cost 214 inf + 9670 272.567 * * [simplify]: Extracting #8: cost 141 inf + 19717 272.573 * * [simplify]: Extracting #9: cost 95 inf + 37162 272.587 * * [simplify]: Extracting #10: cost 47 inf + 58896 272.617 * * [simplify]: Extracting #11: cost 10 inf + 88621 272.654 * * [simplify]: Extracting #12: cost 0 inf + 100431 272.676 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 272.676 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 272.677 * * * * [progress]: [ 723 / 5906 ] simplifiying candidate # 272.677 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 272.677 * * [simplify]: iters left: 6 (48 enodes) 272.695 * * [simplify]: iters left: 5 (237 enodes) 272.758 * * [simplify]: Extracting #0: cost 1 inf + 0 272.758 * * [simplify]: Extracting #1: cost 3 inf + 0 272.758 * * [simplify]: Extracting #2: cost 6 inf + 0 272.759 * * [simplify]: Extracting #3: cost 52 inf + 0 272.759 * * [simplify]: Extracting #4: cost 135 inf + 0 272.760 * * [simplify]: Extracting #5: cost 193 inf + 412 272.767 * * [simplify]: Extracting #6: cost 219 inf + 6904 272.772 * * [simplify]: Extracting #7: cost 204 inf + 11785 272.778 * * [simplify]: Extracting #8: cost 168 inf + 16345 272.789 * * [simplify]: Extracting #9: cost 94 inf + 38374 272.818 * * [simplify]: Extracting #10: cost 18 inf + 87271 272.856 * * [simplify]: Extracting #11: cost 3 inf + 100735 272.890 * * [simplify]: Extracting #12: cost 0 inf + 103768 272.911 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) 272.911 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 272.912 * * * * [progress]: [ 724 / 5906 ] simplifiying candidate # 272.912 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 272.912 * * [simplify]: iters left: 6 (48 enodes) 272.927 * * [simplify]: iters left: 5 (237 enodes) 272.981 * * [simplify]: Extracting #0: cost 1 inf + 0 272.981 * * [simplify]: Extracting #1: cost 3 inf + 0 272.981 * * [simplify]: Extracting #2: cost 6 inf + 0 272.981 * * [simplify]: Extracting #3: cost 54 inf + 0 272.981 * * [simplify]: Extracting #4: cost 133 inf + 0 272.982 * * [simplify]: Extracting #5: cost 190 inf + 210 272.983 * * [simplify]: Extracting #6: cost 230 inf + 3996 272.985 * * [simplify]: Extracting #7: cost 212 inf + 9802 272.989 * * [simplify]: Extracting #8: cost 152 inf + 19290 273.003 * * [simplify]: Extracting #9: cost 83 inf + 45772 273.026 * * [simplify]: Extracting #10: cost 35 inf + 68146 273.062 * * [simplify]: Extracting #11: cost 4 inf + 97460 273.105 * * [simplify]: Extracting #12: cost 1 inf + 101135 273.145 * * [simplify]: Extracting #13: cost 0 inf + 103000 273.185 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))) 273.185 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 273.187 * * * * [progress]: [ 725 / 5906 ] simplifiying candidate # 273.187 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 273.188 * * [simplify]: iters left: 6 (42 enodes) 273.211 * * [simplify]: iters left: 5 (202 enodes) 273.286 * * [simplify]: Extracting #0: cost 1 inf + 0 273.286 * * [simplify]: Extracting #1: cost 3 inf + 0 273.286 * * [simplify]: Extracting #2: cost 6 inf + 0 273.286 * * [simplify]: Extracting #3: cost 46 inf + 0 273.286 * * [simplify]: Extracting #4: cost 101 inf + 0 273.287 * * [simplify]: Extracting #5: cost 141 inf + 85 273.288 * * [simplify]: Extracting #6: cost 196 inf + 1555 273.290 * * [simplify]: Extracting #7: cost 187 inf + 3875 273.294 * * [simplify]: Extracting #8: cost 147 inf + 9475 273.302 * * [simplify]: Extracting #9: cost 90 inf + 25714 273.319 * * [simplify]: Extracting #10: cost 33 inf + 51466 273.351 * * [simplify]: Extracting #11: cost 5 inf + 75334 273.383 * * [simplify]: Extracting #12: cost 0 inf + 80299 273.416 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))))))) 273.416 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 273.417 * * * * [progress]: [ 726 / 5906 ] simplifiying candidate # 273.417 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 273.418 * * [simplify]: iters left: 6 (47 enodes) 273.439 * * [simplify]: iters left: 5 (230 enodes) 273.498 * * [simplify]: Extracting #0: cost 1 inf + 0 273.499 * * [simplify]: Extracting #1: cost 3 inf + 0 273.499 * * [simplify]: Extracting #2: cost 10 inf + 0 273.499 * * [simplify]: Extracting #3: cost 62 inf + 0 273.499 * * [simplify]: Extracting #4: cost 115 inf + 42 273.500 * * [simplify]: Extracting #5: cost 159 inf + 290 273.502 * * [simplify]: Extracting #6: cost 215 inf + 2243 273.505 * * [simplify]: Extracting #7: cost 193 inf + 8281 273.512 * * [simplify]: Extracting #8: cost 121 inf + 20570 273.527 * * [simplify]: Extracting #9: cost 54 inf + 48562 273.546 * * [simplify]: Extracting #10: cost 6 inf + 86085 273.568 * * [simplify]: Extracting #11: cost 0 inf + 93715 273.607 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 273.607 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 273.609 * * * * [progress]: [ 727 / 5906 ] simplifiying candidate # 273.609 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 273.610 * * [simplify]: iters left: 6 (42 enodes) 273.631 * * [simplify]: iters left: 5 (203 enodes) 273.710 * * [simplify]: Extracting #0: cost 1 inf + 0 273.710 * * [simplify]: Extracting #1: cost 3 inf + 0 273.710 * * [simplify]: Extracting #2: cost 10 inf + 0 273.710 * * [simplify]: Extracting #3: cost 54 inf + 0 273.710 * * [simplify]: Extracting #4: cost 95 inf + 86 273.711 * * [simplify]: Extracting #5: cost 121 inf + 1392 273.714 * * [simplify]: Extracting #6: cost 181 inf + 2932 273.716 * * [simplify]: Extracting #7: cost 184 inf + 3790 273.722 * * [simplify]: Extracting #8: cost 116 inf + 16722 273.733 * * [simplify]: Extracting #9: cost 70 inf + 31772 273.757 * * [simplify]: Extracting #10: cost 23 inf + 58050 273.786 * * [simplify]: Extracting #11: cost 1 inf + 75649 273.816 * * [simplify]: Extracting #12: cost 0 inf + 77194 273.845 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 273.846 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 273.847 * * * * [progress]: [ 728 / 5906 ] simplifiying candidate # 273.847 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 273.848 * * [simplify]: iters left: 6 (47 enodes) 273.864 * * [simplify]: iters left: 5 (230 enodes) 273.912 * * [simplify]: Extracting #0: cost 1 inf + 0 273.913 * * [simplify]: Extracting #1: cost 3 inf + 0 273.913 * * [simplify]: Extracting #2: cost 10 inf + 0 273.913 * * [simplify]: Extracting #3: cost 62 inf + 0 273.913 * * [simplify]: Extracting #4: cost 115 inf + 42 273.913 * * [simplify]: Extracting #5: cost 158 inf + 332 273.914 * * [simplify]: Extracting #6: cost 209 inf + 3455 273.916 * * [simplify]: Extracting #7: cost 192 inf + 8313 273.920 * * [simplify]: Extracting #8: cost 118 inf + 21408 273.928 * * [simplify]: Extracting #9: cost 64 inf + 42728 273.957 * * [simplify]: Extracting #10: cost 11 inf + 83869 273.980 * * [simplify]: Extracting #11: cost 0 inf + 94515 274.002 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 274.002 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 274.003 * * * * [progress]: [ 729 / 5906 ] simplifiying candidate # 274.003 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 274.003 * * [simplify]: iters left: 6 (42 enodes) 274.014 * * [simplify]: iters left: 5 (203 enodes) 274.055 * * [simplify]: Extracting #0: cost 1 inf + 0 274.055 * * [simplify]: Extracting #1: cost 3 inf + 0 274.055 * * [simplify]: Extracting #2: cost 10 inf + 0 274.055 * * [simplify]: Extracting #3: cost 53 inf + 0 274.055 * * [simplify]: Extracting #4: cost 96 inf + 44 274.056 * * [simplify]: Extracting #5: cost 125 inf + 944 274.056 * * [simplify]: Extracting #6: cost 181 inf + 3012 274.058 * * [simplify]: Extracting #7: cost 184 inf + 3790 274.060 * * [simplify]: Extracting #8: cost 118 inf + 15690 274.068 * * [simplify]: Extracting #9: cost 70 inf + 31772 274.079 * * [simplify]: Extracting #10: cost 20 inf + 59630 274.094 * * [simplify]: Extracting #11: cost 1 inf + 75969 274.114 * * [simplify]: Extracting #12: cost 0 inf + 77514 274.130 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 274.130 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 274.130 * * * * [progress]: [ 730 / 5906 ] simplifiying candidate # 274.131 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 274.131 * * [simplify]: iters left: 6 (51 enodes) 274.145 * * [simplify]: iters left: 5 (250 enodes) 274.213 * * [simplify]: Extracting #0: cost 1 inf + 0 274.213 * * [simplify]: Extracting #1: cost 3 inf + 0 274.213 * * [simplify]: Extracting #2: cost 6 inf + 0 274.213 * * [simplify]: Extracting #3: cost 50 inf + 0 274.213 * * [simplify]: Extracting #4: cost 116 inf + 0 274.214 * * [simplify]: Extracting #5: cost 185 inf + 0 274.214 * * [simplify]: Extracting #6: cost 264 inf + 763 274.216 * * [simplify]: Extracting #7: cost 232 inf + 7124 274.220 * * [simplify]: Extracting #8: cost 125 inf + 28207 274.227 * * [simplify]: Extracting #9: cost 81 inf + 40652 274.239 * * [simplify]: Extracting #10: cost 43 inf + 65894 274.276 * * [simplify]: Extracting #11: cost 8 inf + 96433 274.315 * * [simplify]: Extracting #12: cost 1 inf + 103448 274.355 * * [simplify]: Extracting #13: cost 0 inf + 105193 274.395 * * [simplify]: Extracting #14: cost 0 inf + 105153 274.435 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) 274.435 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 274.436 * * * * [progress]: [ 731 / 5906 ] simplifiying candidate # 274.436 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 274.437 * * [simplify]: iters left: 6 (52 enodes) 274.465 * * [simplify]: iters left: 5 (259 enodes) 274.549 * * [simplify]: Extracting #0: cost 1 inf + 0 274.549 * * [simplify]: Extracting #1: cost 3 inf + 0 274.549 * * [simplify]: Extracting #2: cost 6 inf + 0 274.549 * * [simplify]: Extracting #3: cost 53 inf + 0 274.550 * * [simplify]: Extracting #4: cost 138 inf + 0 274.551 * * [simplify]: Extracting #5: cost 196 inf + 126 274.553 * * [simplify]: Extracting #6: cost 243 inf + 4317 274.558 * * [simplify]: Extracting #7: cost 220 inf + 10373 274.570 * * [simplify]: Extracting #8: cost 155 inf + 23788 274.587 * * [simplify]: Extracting #9: cost 73 inf + 51353 274.617 * * [simplify]: Extracting #10: cost 29 inf + 83119 274.652 * * [simplify]: Extracting #11: cost 14 inf + 93692 274.690 * * [simplify]: Extracting #12: cost 3 inf + 101950 274.732 * * [simplify]: Extracting #13: cost 0 inf + 107385 274.763 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 274.763 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 274.764 * * * * [progress]: [ 732 / 5906 ] simplifiying candidate # 274.764 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 274.765 * * [simplify]: iters left: 6 (52 enodes) 274.778 * * [simplify]: iters left: 5 (259 enodes) 274.856 * * [simplify]: Extracting #0: cost 1 inf + 0 274.857 * * [simplify]: Extracting #1: cost 3 inf + 0 274.857 * * [simplify]: Extracting #2: cost 6 inf + 0 274.857 * * [simplify]: Extracting #3: cost 55 inf + 0 274.857 * * [simplify]: Extracting #4: cost 136 inf + 0 274.858 * * [simplify]: Extracting #5: cost 193 inf + 85 274.861 * * [simplify]: Extracting #6: cost 232 inf + 5852 274.866 * * [simplify]: Extracting #7: cost 216 inf + 11175 274.874 * * [simplify]: Extracting #8: cost 147 inf + 23265 274.888 * * [simplify]: Extracting #9: cost 79 inf + 43058 274.906 * * [simplify]: Extracting #10: cost 52 inf + 60570 274.941 * * [simplify]: Extracting #11: cost 8 inf + 97087 274.983 * * [simplify]: Extracting #12: cost 0 inf + 105417 275.027 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) 275.027 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 275.028 * * * * [progress]: [ 733 / 5906 ] simplifiying candidate # 275.028 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 275.029 * * [simplify]: iters left: 6 (46 enodes) 275.053 * * [simplify]: iters left: 5 (225 enodes) 275.136 * * [simplify]: Extracting #0: cost 1 inf + 0 275.136 * * [simplify]: Extracting #1: cost 3 inf + 0 275.136 * * [simplify]: Extracting #2: cost 6 inf + 0 275.136 * * [simplify]: Extracting #3: cost 47 inf + 0 275.137 * * [simplify]: Extracting #4: cost 104 inf + 0 275.137 * * [simplify]: Extracting #5: cost 144 inf + 2 275.139 * * [simplify]: Extracting #6: cost 203 inf + 1962 275.140 * * [simplify]: Extracting #7: cost 202 inf + 3466 275.146 * * [simplify]: Extracting #8: cost 121 inf + 21810 275.155 * * [simplify]: Extracting #9: cost 58 inf + 49535 275.166 * * [simplify]: Extracting #10: cost 30 inf + 60375 275.183 * * [simplify]: Extracting #11: cost 5 inf + 78534 275.204 * * [simplify]: Extracting #12: cost 0 inf + 84859 275.224 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (- phi1 phi2) (+ phi2 phi1)))) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 275.224 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (- phi1 phi2) (+ phi2 phi1)))) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 275.225 * * * * [progress]: [ 734 / 5906 ] simplifiying candidate # 275.226 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 275.226 * * [simplify]: iters left: 6 (51 enodes) 275.254 * * [simplify]: iters left: 5 (252 enodes) 275.318 * * [simplify]: Extracting #0: cost 1 inf + 0 275.318 * * [simplify]: Extracting #1: cost 3 inf + 0 275.318 * * [simplify]: Extracting #2: cost 10 inf + 0 275.318 * * [simplify]: Extracting #3: cost 63 inf + 0 275.319 * * [simplify]: Extracting #4: cost 118 inf + 42 275.319 * * [simplify]: Extracting #5: cost 161 inf + 249 275.320 * * [simplify]: Extracting #6: cost 228 inf + 1840 275.322 * * [simplify]: Extracting #7: cost 221 inf + 5166 275.324 * * [simplify]: Extracting #8: cost 163 inf + 15534 275.331 * * [simplify]: Extracting #9: cost 86 inf + 39722 275.350 * * [simplify]: Extracting #10: cost 29 inf + 70510 275.382 * * [simplify]: Extracting #11: cost 3 inf + 97200 275.417 * * [simplify]: Extracting #12: cost 1 inf + 100730 275.438 * * [simplify]: Extracting #13: cost 0 inf + 102515 275.473 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) 275.473 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 275.474 * * * * [progress]: [ 735 / 5906 ] simplifiying candidate # 275.474 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 275.475 * * [simplify]: iters left: 6 (46 enodes) 275.496 * * [simplify]: iters left: 5 (224 enodes) 275.557 * * [simplify]: Extracting #0: cost 1 inf + 0 275.557 * * [simplify]: Extracting #1: cost 3 inf + 0 275.557 * * [simplify]: Extracting #2: cost 10 inf + 0 275.557 * * [simplify]: Extracting #3: cost 59 inf + 0 275.558 * * [simplify]: Extracting #4: cost 104 inf + 44 275.559 * * [simplify]: Extracting #5: cost 130 inf + 904 275.561 * * [simplify]: Extracting #6: cost 196 inf + 2932 275.563 * * [simplify]: Extracting #7: cost 199 inf + 3668 275.569 * * [simplify]: Extracting #8: cost 130 inf + 17180 275.584 * * [simplify]: Extracting #9: cost 60 inf + 43495 275.599 * * [simplify]: Extracting #10: cost 14 inf + 74391 275.620 * * [simplify]: Extracting #11: cost 0 inf + 82873 275.650 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 275.650 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 275.651 * * * * [progress]: [ 736 / 5906 ] simplifiying candidate # 275.651 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 275.652 * * [simplify]: iters left: 6 (51 enodes) 275.664 * * [simplify]: iters left: 5 (252 enodes) 275.719 * * [simplify]: Extracting #0: cost 1 inf + 0 275.720 * * [simplify]: Extracting #1: cost 3 inf + 0 275.720 * * [simplify]: Extracting #2: cost 10 inf + 0 275.720 * * [simplify]: Extracting #3: cost 63 inf + 0 275.720 * * [simplify]: Extracting #4: cost 118 inf + 42 275.720 * * [simplify]: Extracting #5: cost 161 inf + 248 275.721 * * [simplify]: Extracting #6: cost 225 inf + 2365 275.723 * * [simplify]: Extracting #7: cost 217 inf + 5973 275.727 * * [simplify]: Extracting #8: cost 162 inf + 14963 275.739 * * [simplify]: Extracting #9: cost 88 inf + 38474 275.757 * * [simplify]: Extracting #10: cost 29 inf + 71310 275.776 * * [simplify]: Extracting #11: cost 3 inf + 98000 275.797 * * [simplify]: Extracting #12: cost 1 inf + 101530 275.821 * * [simplify]: Extracting #13: cost 0 inf + 103315 275.843 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) 275.843 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 275.843 * * * * [progress]: [ 737 / 5906 ] simplifiying candidate # 275.844 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 275.844 * * [simplify]: iters left: 6 (46 enodes) 275.856 * * [simplify]: iters left: 5 (224 enodes) 275.931 * * [simplify]: Extracting #0: cost 1 inf + 0 275.931 * * [simplify]: Extracting #1: cost 3 inf + 0 275.931 * * [simplify]: Extracting #2: cost 10 inf + 0 275.931 * * [simplify]: Extracting #3: cost 58 inf + 0 275.931 * * [simplify]: Extracting #4: cost 104 inf + 44 275.932 * * [simplify]: Extracting #5: cost 130 inf + 904 275.934 * * [simplify]: Extracting #6: cost 196 inf + 2932 275.936 * * [simplify]: Extracting #7: cost 200 inf + 3587 275.941 * * [simplify]: Extracting #8: cost 134 inf + 16209 275.955 * * [simplify]: Extracting #9: cost 58 inf + 44619 275.975 * * [simplify]: Extracting #10: cost 13 inf + 75336 275.992 * * [simplify]: Extracting #11: cost 0 inf + 83193 276.021 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 276.021 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 276.022 * * * * [progress]: [ 738 / 5906 ] simplifiying candidate # 276.022 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 276.023 * * [simplify]: iters left: 6 (47 enodes) 276.051 * * [simplify]: iters left: 5 (232 enodes) 276.136 * * [simplify]: Extracting #0: cost 1 inf + 0 276.136 * * [simplify]: Extracting #1: cost 3 inf + 0 276.136 * * [simplify]: Extracting #2: cost 6 inf + 0 276.137 * * [simplify]: Extracting #3: cost 54 inf + 0 276.137 * * [simplify]: Extracting #4: cost 120 inf + 0 276.137 * * [simplify]: Extracting #5: cost 192 inf + 0 276.138 * * [simplify]: Extracting #6: cost 260 inf + 1056 276.139 * * [simplify]: Extracting #7: cost 229 inf + 8739 276.143 * * [simplify]: Extracting #8: cost 136 inf + 25911 276.156 * * [simplify]: Extracting #9: cost 44 inf + 64517 276.187 * * [simplify]: Extracting #10: cost 5 inf + 99340 276.208 * * [simplify]: Extracting #11: cost 0 inf + 106225 276.237 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 276.237 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 276.239 * * * * [progress]: [ 739 / 5906 ] simplifiying candidate # 276.239 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 276.240 * * [simplify]: iters left: 6 (48 enodes) 276.260 * * [simplify]: iters left: 5 (241 enodes) 276.318 * * [simplify]: Extracting #0: cost 1 inf + 0 276.318 * * [simplify]: Extracting #1: cost 3 inf + 0 276.318 * * [simplify]: Extracting #2: cost 6 inf + 0 276.318 * * [simplify]: Extracting #3: cost 58 inf + 0 276.319 * * [simplify]: Extracting #4: cost 143 inf + 0 276.320 * * [simplify]: Extracting #5: cost 201 inf + 412 276.323 * * [simplify]: Extracting #6: cost 230 inf + 6338 276.327 * * [simplify]: Extracting #7: cost 214 inf + 11171 276.337 * * [simplify]: Extracting #8: cost 143 inf + 28677 276.362 * * [simplify]: Extracting #9: cost 43 inf + 75242 276.398 * * [simplify]: Extracting #10: cost 6 inf + 99499 276.444 * * [simplify]: Extracting #11: cost 0 inf + 104562 276.484 * * [simplify]: Extracting #12: cost 0 inf + 104402 276.522 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 276.522 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 276.523 * * * * [progress]: [ 740 / 5906 ] simplifiying candidate # 276.524 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 276.524 * * [simplify]: iters left: 6 (48 enodes) 276.538 * * [simplify]: iters left: 5 (241 enodes) 276.616 * * [simplify]: Extracting #0: cost 1 inf + 0 276.616 * * [simplify]: Extracting #1: cost 3 inf + 0 276.616 * * [simplify]: Extracting #2: cost 6 inf + 0 276.616 * * [simplify]: Extracting #3: cost 60 inf + 0 276.617 * * [simplify]: Extracting #4: cost 141 inf + 0 276.618 * * [simplify]: Extracting #5: cost 197 inf + 332 276.620 * * [simplify]: Extracting #6: cost 242 inf + 3669 276.624 * * [simplify]: Extracting #7: cost 219 inf + 10265 276.630 * * [simplify]: Extracting #8: cost 160 inf + 19828 276.645 * * [simplify]: Extracting #9: cost 89 inf + 47212 276.676 * * [simplify]: Extracting #10: cost 16 inf + 89815 276.719 * * [simplify]: Extracting #11: cost 0 inf + 104994 276.755 * * [simplify]: Extracting #12: cost 0 inf + 104714 276.776 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))) 276.776 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 276.777 * * * * [progress]: [ 741 / 5906 ] simplifiying candidate # 276.777 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 276.777 * * [simplify]: iters left: 6 (42 enodes) 276.789 * * [simplify]: iters left: 5 (205 enodes) 276.835 * * [simplify]: Extracting #0: cost 1 inf + 0 276.835 * * [simplify]: Extracting #1: cost 3 inf + 0 276.835 * * [simplify]: Extracting #2: cost 6 inf + 0 276.835 * * [simplify]: Extracting #3: cost 52 inf + 0 276.836 * * [simplify]: Extracting #4: cost 109 inf + 0 276.836 * * [simplify]: Extracting #5: cost 149 inf + 85 276.837 * * [simplify]: Extracting #6: cost 204 inf + 1313 276.838 * * [simplify]: Extracting #7: cost 195 inf + 3955 276.841 * * [simplify]: Extracting #8: cost 121 inf + 18358 276.855 * * [simplify]: Extracting #9: cost 46 inf + 49493 276.875 * * [simplify]: Extracting #10: cost 9 inf + 75805 276.892 * * [simplify]: Extracting #11: cost 0 inf + 83013 276.921 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))))) 276.922 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 276.923 * * * * [progress]: [ 742 / 5906 ] simplifiying candidate # 276.923 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 276.924 * * [simplify]: iters left: 6 (47 enodes) 276.951 * * [simplify]: iters left: 5 (233 enodes) 277.040 * * [simplify]: Extracting #0: cost 1 inf + 0 277.040 * * [simplify]: Extracting #1: cost 3 inf + 0 277.040 * * [simplify]: Extracting #2: cost 10 inf + 0 277.040 * * [simplify]: Extracting #3: cost 72 inf + 0 277.040 * * [simplify]: Extracting #4: cost 126 inf + 42 277.041 * * [simplify]: Extracting #5: cost 170 inf + 290 277.042 * * [simplify]: Extracting #6: cost 222 inf + 3091 277.044 * * [simplify]: Extracting #7: cost 207 inf + 7113 277.047 * * [simplify]: Extracting #8: cost 142 inf + 17585 277.055 * * [simplify]: Extracting #9: cost 88 inf + 39110 277.066 * * [simplify]: Extracting #10: cost 28 inf + 69724 277.098 * * [simplify]: Extracting #11: cost 3 inf + 92869 277.132 * * [simplify]: Extracting #12: cost 0 inf + 98184 277.152 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 277.153 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 277.153 * * * * [progress]: [ 743 / 5906 ] simplifiying candidate # 277.153 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 277.154 * * [simplify]: iters left: 6 (42 enodes) 277.173 * * [simplify]: iters left: 5 (205 enodes) 277.256 * * [simplify]: Extracting #0: cost 1 inf + 0 277.256 * * [simplify]: Extracting #1: cost 3 inf + 0 277.256 * * [simplify]: Extracting #2: cost 10 inf + 0 277.256 * * [simplify]: Extracting #3: cost 64 inf + 0 277.257 * * [simplify]: Extracting #4: cost 107 inf + 44 277.257 * * [simplify]: Extracting #5: cost 134 inf + 1228 277.258 * * [simplify]: Extracting #6: cost 192 inf + 2932 277.259 * * [simplify]: Extracting #7: cost 195 inf + 3790 277.261 * * [simplify]: Extracting #8: cost 135 inf + 13525 277.267 * * [simplify]: Extracting #9: cost 75 inf + 33897 277.280 * * [simplify]: Extracting #10: cost 11 inf + 71061 277.296 * * [simplify]: Extracting #11: cost 0 inf + 79263 277.321 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)))) (* (+ phi2 phi1) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 277.321 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)))) (* (+ phi2 phi1) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 277.322 * * * * [progress]: [ 744 / 5906 ] simplifiying candidate # 277.322 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 277.323 * * [simplify]: iters left: 6 (47 enodes) 277.342 * * [simplify]: iters left: 5 (233 enodes) 277.389 * * [simplify]: Extracting #0: cost 1 inf + 0 277.390 * * [simplify]: Extracting #1: cost 3 inf + 0 277.390 * * [simplify]: Extracting #2: cost 10 inf + 0 277.390 * * [simplify]: Extracting #3: cost 72 inf + 0 277.390 * * [simplify]: Extracting #4: cost 126 inf + 42 277.393 * * [simplify]: Extracting #5: cost 169 inf + 332 277.394 * * [simplify]: Extracting #6: cost 219 inf + 3617 277.396 * * [simplify]: Extracting #7: cost 206 inf + 7285 277.401 * * [simplify]: Extracting #8: cost 140 inf + 18671 277.413 * * [simplify]: Extracting #9: cost 89 inf + 38746 277.429 * * [simplify]: Extracting #10: cost 28 inf + 70684 277.448 * * [simplify]: Extracting #11: cost 3 inf + 93829 277.468 * * [simplify]: Extracting #12: cost 0 inf + 99144 277.503 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 277.503 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 277.504 * * * * [progress]: [ 745 / 5906 ] simplifiying candidate # 277.504 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 277.505 * * [simplify]: iters left: 6 (42 enodes) 277.529 * * [simplify]: iters left: 5 (205 enodes) 277.583 * * [simplify]: Extracting #0: cost 1 inf + 0 277.583 * * [simplify]: Extracting #1: cost 3 inf + 0 277.583 * * [simplify]: Extracting #2: cost 10 inf + 0 277.584 * * [simplify]: Extracting #3: cost 63 inf + 0 277.584 * * [simplify]: Extracting #4: cost 107 inf + 44 277.584 * * [simplify]: Extracting #5: cost 135 inf + 1106 277.585 * * [simplify]: Extracting #6: cost 192 inf + 2932 277.587 * * [simplify]: Extracting #7: cost 195 inf + 3790 277.589 * * [simplify]: Extracting #8: cost 134 inf + 13543 277.595 * * [simplify]: Extracting #9: cost 76 inf + 33685 277.619 * * [simplify]: Extracting #10: cost 11 inf + 71040 277.653 * * [simplify]: Extracting #11: cost 0 inf + 79663 277.683 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (+ phi2 phi1) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 277.683 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (+ phi2 phi1) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 277.684 * * * * [progress]: [ 746 / 5906 ] simplifiying candidate # 277.685 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 277.685 * * [simplify]: iters left: 6 (52 enodes) 277.713 * * [simplify]: iters left: 5 (254 enodes) 277.794 * * [simplify]: Extracting #0: cost 1 inf + 0 277.794 * * [simplify]: Extracting #1: cost 3 inf + 0 277.794 * * [simplify]: Extracting #2: cost 6 inf + 0 277.794 * * [simplify]: Extracting #3: cost 56 inf + 0 277.794 * * [simplify]: Extracting #4: cost 130 inf + 0 277.795 * * [simplify]: Extracting #5: cost 210 inf + 0 277.797 * * [simplify]: Extracting #6: cost 294 inf + 510 277.800 * * [simplify]: Extracting #7: cost 240 inf + 11154 277.808 * * [simplify]: Extracting #8: cost 171 inf + 21766 277.824 * * [simplify]: Extracting #9: cost 105 inf + 49609 277.848 * * [simplify]: Extracting #10: cost 47 inf + 74961 277.883 * * [simplify]: Extracting #11: cost 12 inf + 114876 277.911 * * [simplify]: Extracting #12: cost 1 inf + 127871 277.960 * * [simplify]: Extracting #13: cost 0 inf + 129976 277.992 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))) 277.992 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 277.993 * * * * [progress]: [ 747 / 5906 ] simplifiying candidate # 277.993 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 277.993 * * [simplify]: iters left: 6 (53 enodes) 278.013 * * [simplify]: iters left: 5 (263 enodes) 278.114 * * [simplify]: Extracting #0: cost 1 inf + 0 278.114 * * [simplify]: Extracting #1: cost 3 inf + 0 278.114 * * [simplify]: Extracting #2: cost 6 inf + 0 278.114 * * [simplify]: Extracting #3: cost 60 inf + 0 278.114 * * [simplify]: Extracting #4: cost 153 inf + 0 278.115 * * [simplify]: Extracting #5: cost 224 inf + 44 278.116 * * [simplify]: Extracting #6: cost 275 inf + 3672 278.118 * * [simplify]: Extracting #7: cost 234 inf + 10604 278.124 * * [simplify]: Extracting #8: cost 146 inf + 35951 278.148 * * [simplify]: Extracting #9: cost 26 inf + 114268 278.194 * * [simplify]: Extracting #10: cost 2 inf + 126246 278.219 * * [simplify]: Extracting #11: cost 0 inf + 128993 278.265 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 278.265 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 278.266 * * * * [progress]: [ 748 / 5906 ] simplifiying candidate # 278.266 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 278.267 * * [simplify]: iters left: 6 (53 enodes) 278.291 * * [simplify]: iters left: 5 (263 enodes) 278.365 * * [simplify]: Extracting #0: cost 1 inf + 0 278.365 * * [simplify]: Extracting #1: cost 3 inf + 0 278.365 * * [simplify]: Extracting #2: cost 6 inf + 0 278.365 * * [simplify]: Extracting #3: cost 62 inf + 0 278.365 * * [simplify]: Extracting #4: cost 151 inf + 0 278.366 * * [simplify]: Extracting #5: cost 220 inf + 44 278.367 * * [simplify]: Extracting #6: cost 271 inf + 3752 278.370 * * [simplify]: Extracting #7: cost 230 inf + 10603 278.374 * * [simplify]: Extracting #8: cost 178 inf + 20252 278.380 * * [simplify]: Extracting #9: cost 117 inf + 40595 278.398 * * [simplify]: Extracting #10: cost 60 inf + 68306 278.438 * * [simplify]: Extracting #11: cost 10 inf + 115015 278.483 * * [simplify]: Extracting #12: cost 0 inf + 126665 278.510 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 278.510 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 278.511 * * * * [progress]: [ 749 / 5906 ] simplifiying candidate # 278.511 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 278.511 * * [simplify]: iters left: 6 (47 enodes) 278.526 * * [simplify]: iters left: 5 (227 enodes) 278.624 * * [simplify]: Extracting #0: cost 1 inf + 0 278.624 * * [simplify]: Extracting #1: cost 3 inf + 0 278.624 * * [simplify]: Extracting #2: cost 6 inf + 0 278.624 * * [simplify]: Extracting #3: cost 54 inf + 0 278.624 * * [simplify]: Extracting #4: cost 119 inf + 0 278.625 * * [simplify]: Extracting #5: cost 168 inf + 44 278.627 * * [simplify]: Extracting #6: cost 236 inf + 1233 278.629 * * [simplify]: Extracting #7: cost 221 inf + 3915 278.637 * * [simplify]: Extracting #8: cost 134 inf + 23603 278.655 * * [simplify]: Extracting #9: cost 62 inf + 55374 278.688 * * [simplify]: Extracting #10: cost 9 inf + 95701 278.731 * * [simplify]: Extracting #11: cost 1 inf + 101819 278.773 * * [simplify]: Extracting #12: cost 0 inf + 102564 278.815 * * [simplify]: Extracting #13: cost 0 inf + 102524 278.856 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))))) 278.856 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 278.857 * * * * [progress]: [ 750 / 5906 ] simplifiying candidate # 278.857 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 278.858 * * [simplify]: iters left: 6 (52 enodes) 278.875 * * [simplify]: iters left: 5 (255 enodes) 278.943 * * [simplify]: Extracting #0: cost 1 inf + 0 278.943 * * [simplify]: Extracting #1: cost 3 inf + 0 278.943 * * [simplify]: Extracting #2: cost 10 inf + 0 278.944 * * [simplify]: Extracting #3: cost 74 inf + 0 278.944 * * [simplify]: Extracting #4: cost 137 inf + 1 278.945 * * [simplify]: Extracting #5: cost 190 inf + 207 278.946 * * [simplify]: Extracting #6: cost 258 inf + 2323 278.947 * * [simplify]: Extracting #7: cost 238 inf + 6537 278.950 * * [simplify]: Extracting #8: cost 174 inf + 17888 278.957 * * [simplify]: Extracting #9: cost 114 inf + 38495 278.977 * * [simplify]: Extracting #10: cost 54 inf + 65745 279.012 * * [simplify]: Extracting #11: cost 9 inf + 108830 279.058 * * [simplify]: Extracting #12: cost 0 inf + 119775 279.104 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) 279.104 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 279.105 * * * * [progress]: [ 751 / 5906 ] simplifiying candidate # 279.105 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 279.106 * * [simplify]: iters left: 6 (47 enodes) 279.130 * * [simplify]: iters left: 5 (227 enodes) 279.195 * * [simplify]: Extracting #0: cost 1 inf + 0 279.195 * * [simplify]: Extracting #1: cost 3 inf + 0 279.195 * * [simplify]: Extracting #2: cost 10 inf + 0 279.195 * * [simplify]: Extracting #3: cost 66 inf + 0 279.196 * * [simplify]: Extracting #4: cost 117 inf + 44 279.197 * * [simplify]: Extracting #5: cost 151 inf + 1510 279.199 * * [simplify]: Extracting #6: cost 223 inf + 2972 279.201 * * [simplify]: Extracting #7: cost 224 inf + 3627 279.207 * * [simplify]: Extracting #8: cost 142 inf + 23912 279.226 * * [simplify]: Extracting #9: cost 64 inf + 53383 279.257 * * [simplify]: Extracting #10: cost 11 inf + 90994 279.300 * * [simplify]: Extracting #11: cost 1 inf + 100949 279.321 * * [simplify]: Extracting #12: cost 0 inf + 102654 279.350 * * [simplify]: Extracting #13: cost 0 inf + 102494 279.370 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (+ phi2 phi1)))) 279.370 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (+ phi2 phi1)))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 279.371 * * * * [progress]: [ 752 / 5906 ] simplifiying candidate # 279.371 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 279.372 * * [simplify]: iters left: 6 (52 enodes) 279.393 * * [simplify]: iters left: 5 (255 enodes) 279.479 * * [simplify]: Extracting #0: cost 1 inf + 0 279.479 * * [simplify]: Extracting #1: cost 3 inf + 0 279.479 * * [simplify]: Extracting #2: cost 10 inf + 0 279.479 * * [simplify]: Extracting #3: cost 74 inf + 0 279.480 * * [simplify]: Extracting #4: cost 137 inf + 1 279.480 * * [simplify]: Extracting #5: cost 190 inf + 207 279.481 * * [simplify]: Extracting #6: cost 257 inf + 2483 279.483 * * [simplify]: Extracting #7: cost 234 inf + 7395 279.486 * * [simplify]: Extracting #8: cost 175 inf + 17636 279.495 * * [simplify]: Extracting #9: cost 113 inf + 40279 279.517 * * [simplify]: Extracting #10: cost 53 inf + 67570 279.555 * * [simplify]: Extracting #11: cost 9 inf + 109790 279.580 * * [simplify]: Extracting #12: cost 0 inf + 120735 279.624 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) 279.624 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 279.625 * * * * [progress]: [ 753 / 5906 ] simplifiying candidate # 279.625 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 279.625 * * [simplify]: iters left: 6 (47 enodes) 279.637 * * [simplify]: iters left: 5 (227 enodes) 279.714 * * [simplify]: Extracting #0: cost 1 inf + 0 279.714 * * [simplify]: Extracting #1: cost 3 inf + 0 279.714 * * [simplify]: Extracting #2: cost 10 inf + 0 279.714 * * [simplify]: Extracting #3: cost 65 inf + 0 279.715 * * [simplify]: Extracting #4: cost 114 inf + 370 279.716 * * [simplify]: Extracting #5: cost 147 inf + 2078 279.718 * * [simplify]: Extracting #6: cost 223 inf + 2932 279.721 * * [simplify]: Extracting #7: cost 224 inf + 3547 279.726 * * [simplify]: Extracting #8: cost 144 inf + 19984 279.736 * * [simplify]: Extracting #9: cost 52 inf + 61931 279.761 * * [simplify]: Extracting #10: cost 5 inf + 95931 279.788 * * [simplify]: Extracting #11: cost 1 inf + 100189 279.810 * * [simplify]: Extracting #12: cost 0 inf + 102014 279.839 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 279.839 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 279.840 * * * * [progress]: [ 754 / 5906 ] simplifiying candidate # 279.840 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 279.841 * * [simplify]: iters left: 6 (52 enodes) 279.867 * * [simplify]: iters left: 5 (253 enodes) 279.953 * * [simplify]: Extracting #0: cost 1 inf + 0 279.953 * * [simplify]: Extracting #1: cost 3 inf + 0 279.953 * * [simplify]: Extracting #2: cost 6 inf + 0 279.953 * * [simplify]: Extracting #3: cost 56 inf + 0 279.953 * * [simplify]: Extracting #4: cost 130 inf + 0 279.954 * * [simplify]: Extracting #5: cost 210 inf + 0 279.956 * * [simplify]: Extracting #6: cost 278 inf + 1784 279.961 * * [simplify]: Extracting #7: cost 220 inf + 12712 279.973 * * [simplify]: Extracting #8: cost 123 inf + 40089 279.985 * * [simplify]: Extracting #9: cost 44 inf + 72439 280.007 * * [simplify]: Extracting #10: cost 4 inf + 119194 280.058 * * [simplify]: Extracting #11: cost 0 inf + 124494 280.105 * * [simplify]: Extracting #12: cost 0 inf + 124174 280.152 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1)))))) 280.152 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 280.153 * * * * [progress]: [ 755 / 5906 ] simplifiying candidate # 280.154 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 280.154 * * [simplify]: iters left: 6 (53 enodes) 280.182 * * [simplify]: iters left: 5 (262 enodes) 280.291 * * [simplify]: Extracting #0: cost 1 inf + 0 280.291 * * [simplify]: Extracting #1: cost 3 inf + 0 280.291 * * [simplify]: Extracting #2: cost 6 inf + 0 280.292 * * [simplify]: Extracting #3: cost 60 inf + 0 280.292 * * [simplify]: Extracting #4: cost 153 inf + 0 280.293 * * [simplify]: Extracting #5: cost 223 inf + 85 280.296 * * [simplify]: Extracting #6: cost 254 inf + 5824 280.301 * * [simplify]: Extracting #7: cost 217 inf + 12526 280.312 * * [simplify]: Extracting #8: cost 147 inf + 31646 280.324 * * [simplify]: Extracting #9: cost 88 inf + 60223 280.341 * * [simplify]: Extracting #10: cost 46 inf + 77083 280.360 * * [simplify]: Extracting #11: cost 13 inf + 110426 280.385 * * [simplify]: Extracting #12: cost 0 inf + 125471 280.414 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 280.415 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 280.416 * * * * [progress]: [ 756 / 5906 ] simplifiying candidate # 280.416 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 280.417 * * [simplify]: iters left: 6 (53 enodes) 280.432 * * [simplify]: iters left: 5 (262 enodes) 280.498 * * [simplify]: Extracting #0: cost 1 inf + 0 280.498 * * [simplify]: Extracting #1: cost 3 inf + 0 280.498 * * [simplify]: Extracting #2: cost 6 inf + 0 280.498 * * [simplify]: Extracting #3: cost 62 inf + 0 280.499 * * [simplify]: Extracting #4: cost 151 inf + 0 280.500 * * [simplify]: Extracting #5: cost 220 inf + 44 280.503 * * [simplify]: Extracting #6: cost 253 inf + 5943 280.509 * * [simplify]: Extracting #7: cost 202 inf + 17361 280.522 * * [simplify]: Extracting #8: cost 142 inf + 36060 280.543 * * [simplify]: Extracting #9: cost 90 inf + 57305 280.567 * * [simplify]: Extracting #10: cost 48 inf + 73063 280.589 * * [simplify]: Extracting #11: cost 14 inf + 109033 280.615 * * [simplify]: Extracting #12: cost 0 inf + 124423 280.657 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 280.657 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 280.658 * * * * [progress]: [ 757 / 5906 ] simplifiying candidate # 280.658 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 280.659 * * [simplify]: iters left: 6 (47 enodes) 280.677 * * [simplify]: iters left: 5 (226 enodes) 280.738 * * [simplify]: Extracting #0: cost 1 inf + 0 280.738 * * [simplify]: Extracting #1: cost 3 inf + 0 280.738 * * [simplify]: Extracting #2: cost 6 inf + 0 280.738 * * [simplify]: Extracting #3: cost 54 inf + 0 280.739 * * [simplify]: Extracting #4: cost 119 inf + 0 280.739 * * [simplify]: Extracting #5: cost 169 inf + 2 280.740 * * [simplify]: Extracting #6: cost 235 inf + 946 280.741 * * [simplify]: Extracting #7: cost 211 inf + 4655 280.744 * * [simplify]: Extracting #8: cost 138 inf + 19200 280.752 * * [simplify]: Extracting #9: cost 64 inf + 49516 280.770 * * [simplify]: Extracting #10: cost 7 inf + 89747 280.797 * * [simplify]: Extracting #11: cost 1 inf + 96417 280.836 * * [simplify]: Extracting #12: cost 0 inf + 98242 280.875 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) 280.875 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 280.877 * * * * [progress]: [ 758 / 5906 ] simplifiying candidate # 280.877 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 280.878 * * [simplify]: iters left: 6 (52 enodes) 280.904 * * [simplify]: iters left: 5 (254 enodes) 280.983 * * [simplify]: Extracting #0: cost 1 inf + 0 280.983 * * [simplify]: Extracting #1: cost 3 inf + 0 280.983 * * [simplify]: Extracting #2: cost 10 inf + 0 280.983 * * [simplify]: Extracting #3: cost 74 inf + 0 280.984 * * [simplify]: Extracting #4: cost 137 inf + 1 280.985 * * [simplify]: Extracting #5: cost 190 inf + 207 280.987 * * [simplify]: Extracting #6: cost 245 inf + 3098 280.992 * * [simplify]: Extracting #7: cost 196 inf + 13396 281.003 * * [simplify]: Extracting #8: cost 118 inf + 36445 281.024 * * [simplify]: Extracting #9: cost 56 inf + 62874 281.061 * * [simplify]: Extracting #10: cost 10 inf + 103083 281.105 * * [simplify]: Extracting #11: cost 1 inf + 113028 281.151 * * [simplify]: Extracting #12: cost 0 inf + 115053 281.196 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))) 281.196 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 281.197 * * * * [progress]: [ 759 / 5906 ] simplifiying candidate # 281.198 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 281.198 * * [simplify]: iters left: 6 (47 enodes) 281.221 * * [simplify]: iters left: 5 (226 enodes) 281.287 * * [simplify]: Extracting #0: cost 1 inf + 0 281.287 * * [simplify]: Extracting #1: cost 3 inf + 0 281.287 * * [simplify]: Extracting #2: cost 10 inf + 0 281.288 * * [simplify]: Extracting #3: cost 66 inf + 0 281.288 * * [simplify]: Extracting #4: cost 117 inf + 44 281.289 * * [simplify]: Extracting #5: cost 154 inf + 1144 281.292 * * [simplify]: Extracting #6: cost 217 inf + 3016 281.295 * * [simplify]: Extracting #7: cost 192 inf + 7051 281.305 * * [simplify]: Extracting #8: cost 111 inf + 30018 281.316 * * [simplify]: Extracting #9: cost 56 inf + 54438 281.332 * * [simplify]: Extracting #10: cost 8 inf + 87252 281.361 * * [simplify]: Extracting #11: cost 0 inf + 97492 281.398 * * [simplify]: Extracting #12: cost 0 inf + 97012 281.435 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))))) 281.435 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 281.436 * * * * [progress]: [ 760 / 5906 ] simplifiying candidate # 281.436 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 281.437 * * [simplify]: iters left: 6 (52 enodes) 281.463 * * [simplify]: iters left: 5 (254 enodes) 281.529 * * [simplify]: Extracting #0: cost 1 inf + 0 281.529 * * [simplify]: Extracting #1: cost 3 inf + 0 281.529 * * [simplify]: Extracting #2: cost 10 inf + 0 281.530 * * [simplify]: Extracting #3: cost 74 inf + 0 281.530 * * [simplify]: Extracting #4: cost 137 inf + 1 281.530 * * [simplify]: Extracting #5: cost 190 inf + 207 281.531 * * [simplify]: Extracting #6: cost 248 inf + 2494 281.533 * * [simplify]: Extracting #7: cost 198 inf + 12751 281.539 * * [simplify]: Extracting #8: cost 116 inf + 38463 281.554 * * [simplify]: Extracting #9: cost 57 inf + 63409 281.589 * * [simplify]: Extracting #10: cost 10 inf + 104043 281.621 * * [simplify]: Extracting #11: cost 1 inf + 113988 281.656 * * [simplify]: Extracting #12: cost 0 inf + 116013 281.702 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))) 281.703 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 281.704 * * * * [progress]: [ 761 / 5906 ] simplifiying candidate # 281.704 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 281.705 * * [simplify]: iters left: 6 (47 enodes) 281.728 * * [simplify]: iters left: 5 (226 enodes) 281.794 * * [simplify]: Extracting #0: cost 1 inf + 0 281.794 * * [simplify]: Extracting #1: cost 3 inf + 0 281.794 * * [simplify]: Extracting #2: cost 10 inf + 0 281.795 * * [simplify]: Extracting #3: cost 65 inf + 0 281.795 * * [simplify]: Extracting #4: cost 116 inf + 86 281.795 * * [simplify]: Extracting #5: cost 150 inf + 1512 281.796 * * [simplify]: Extracting #6: cost 217 inf + 2976 281.798 * * [simplify]: Extracting #7: cost 196 inf + 6482 281.803 * * [simplify]: Extracting #8: cost 104 inf + 33005 281.812 * * [simplify]: Extracting #9: cost 48 inf + 58278 281.835 * * [simplify]: Extracting #10: cost 8 inf + 87652 281.877 * * [simplify]: Extracting #11: cost 0 inf + 97892 281.915 * * [simplify]: Extracting #12: cost 0 inf + 97412 281.953 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))))) 281.953 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 281.954 * * * * [progress]: [ 762 / 5906 ] simplifiying candidate # 281.954 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 281.955 * * [simplify]: iters left: 6 (52 enodes) 281.983 * * [simplify]: iters left: 5 (254 enodes) 282.080 * * [simplify]: Extracting #0: cost 1 inf + 0 282.080 * * [simplify]: Extracting #1: cost 3 inf + 0 282.080 * * [simplify]: Extracting #2: cost 6 inf + 0 282.080 * * [simplify]: Extracting #3: cost 56 inf + 0 282.081 * * [simplify]: Extracting #4: cost 130 inf + 0 282.081 * * [simplify]: Extracting #5: cost 210 inf + 0 282.082 * * [simplify]: Extracting #6: cost 293 inf + 722 282.084 * * [simplify]: Extracting #7: cost 242 inf + 10699 282.088 * * [simplify]: Extracting #8: cost 157 inf + 25677 282.098 * * [simplify]: Extracting #9: cost 63 inf + 64382 282.131 * * [simplify]: Extracting #10: cost 12 inf + 114036 282.158 * * [simplify]: Extracting #11: cost 1 inf + 126831 282.204 * * [simplify]: Extracting #12: cost 0 inf + 128896 282.251 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 282.251 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 282.252 * * * * [progress]: [ 763 / 5906 ] simplifiying candidate # 282.252 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 282.253 * * [simplify]: iters left: 6 (53 enodes) 282.280 * * [simplify]: iters left: 5 (263 enodes) 282.379 * * [simplify]: Extracting #0: cost 1 inf + 0 282.379 * * [simplify]: Extracting #1: cost 3 inf + 0 282.380 * * [simplify]: Extracting #2: cost 6 inf + 0 282.380 * * [simplify]: Extracting #3: cost 60 inf + 0 282.380 * * [simplify]: Extracting #4: cost 153 inf + 0 282.381 * * [simplify]: Extracting #5: cost 224 inf + 44 282.382 * * [simplify]: Extracting #6: cost 275 inf + 3753 282.385 * * [simplify]: Extracting #7: cost 234 inf + 11145 282.390 * * [simplify]: Extracting #8: cost 155 inf + 28683 282.402 * * [simplify]: Extracting #9: cost 50 inf + 76123 282.426 * * [simplify]: Extracting #10: cost 7 inf + 119098 282.460 * * [simplify]: Extracting #11: cost 0 inf + 129313 282.491 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 282.491 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 282.492 * * * * [progress]: [ 764 / 5906 ] simplifiying candidate # 282.492 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 282.492 * * [simplify]: iters left: 6 (53 enodes) 282.506 * * [simplify]: iters left: 5 (263 enodes) 282.591 * * [simplify]: Extracting #0: cost 1 inf + 0 282.591 * * [simplify]: Extracting #1: cost 3 inf + 0 282.591 * * [simplify]: Extracting #2: cost 6 inf + 0 282.591 * * [simplify]: Extracting #3: cost 62 inf + 0 282.592 * * [simplify]: Extracting #4: cost 151 inf + 0 282.593 * * [simplify]: Extracting #5: cost 220 inf + 44 282.596 * * [simplify]: Extracting #6: cost 272 inf + 3910 282.601 * * [simplify]: Extracting #7: cost 224 inf + 12575 282.608 * * [simplify]: Extracting #8: cost 175 inf + 20909 282.619 * * [simplify]: Extracting #9: cost 118 inf + 40471 282.645 * * [simplify]: Extracting #10: cost 62 inf + 67736 282.669 * * [simplify]: Extracting #11: cost 11 inf + 113190 282.698 * * [simplify]: Extracting #12: cost 0 inf + 126985 282.726 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 282.726 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 282.726 * * * * [progress]: [ 765 / 5906 ] simplifiying candidate # 282.727 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 282.727 * * [simplify]: iters left: 6 (47 enodes) 282.744 * * [simplify]: iters left: 5 (227 enodes) 282.815 * * [simplify]: Extracting #0: cost 1 inf + 0 282.815 * * [simplify]: Extracting #1: cost 3 inf + 0 282.815 * * [simplify]: Extracting #2: cost 6 inf + 0 282.816 * * [simplify]: Extracting #3: cost 54 inf + 0 282.816 * * [simplify]: Extracting #4: cost 119 inf + 0 282.816 * * [simplify]: Extracting #5: cost 168 inf + 44 282.817 * * [simplify]: Extracting #6: cost 236 inf + 1233 282.818 * * [simplify]: Extracting #7: cost 222 inf + 3995 282.822 * * [simplify]: Extracting #8: cost 136 inf + 22473 282.836 * * [simplify]: Extracting #9: cost 62 inf + 55126 282.861 * * [simplify]: Extracting #10: cost 9 inf + 96565 282.883 * * [simplify]: Extracting #11: cost 1 inf + 101979 282.921 * * [simplify]: Extracting #12: cost 0 inf + 102804 282.959 * * [simplify]: Extracting #13: cost 0 inf + 102764 282.997 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ phi2 phi1)))))) 282.997 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 282.998 * * * * [progress]: [ 766 / 5906 ] simplifiying candidate # 282.999 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 283.000 * * [simplify]: iters left: 6 (52 enodes) 283.025 * * [simplify]: iters left: 5 (255 enodes) 283.106 * * [simplify]: Extracting #0: cost 1 inf + 0 283.106 * * [simplify]: Extracting #1: cost 3 inf + 0 283.106 * * [simplify]: Extracting #2: cost 10 inf + 0 283.106 * * [simplify]: Extracting #3: cost 74 inf + 0 283.107 * * [simplify]: Extracting #4: cost 137 inf + 1 283.108 * * [simplify]: Extracting #5: cost 190 inf + 207 283.109 * * [simplify]: Extracting #6: cost 258 inf + 2323 283.113 * * [simplify]: Extracting #7: cost 237 inf + 7000 283.119 * * [simplify]: Extracting #8: cost 173 inf + 17488 283.126 * * [simplify]: Extracting #9: cost 109 inf + 41016 283.139 * * [simplify]: Extracting #10: cost 52 inf + 66835 283.162 * * [simplify]: Extracting #11: cost 10 inf + 107085 283.205 * * [simplify]: Extracting #12: cost 1 inf + 118030 283.229 * * [simplify]: Extracting #13: cost 0 inf + 120095 283.266 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) 283.266 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 283.267 * * * * [progress]: [ 767 / 5906 ] simplifiying candidate # 283.267 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 283.267 * * [simplify]: iters left: 6 (47 enodes) 283.281 * * [simplify]: iters left: 5 (227 enodes) 283.334 * * [simplify]: Extracting #0: cost 1 inf + 0 283.334 * * [simplify]: Extracting #1: cost 3 inf + 0 283.334 * * [simplify]: Extracting #2: cost 10 inf + 0 283.334 * * [simplify]: Extracting #3: cost 66 inf + 0 283.334 * * [simplify]: Extracting #4: cost 117 inf + 44 283.335 * * [simplify]: Extracting #5: cost 151 inf + 1510 283.336 * * [simplify]: Extracting #6: cost 223 inf + 2972 283.338 * * [simplify]: Extracting #7: cost 222 inf + 3709 283.346 * * [simplify]: Extracting #8: cost 141 inf + 24557 283.358 * * [simplify]: Extracting #9: cost 67 inf + 52228 283.377 * * [simplify]: Extracting #10: cost 11 inf + 90674 283.411 * * [simplify]: Extracting #11: cost 1 inf + 100429 283.432 * * [simplify]: Extracting #12: cost 0 inf + 102094 283.463 * * [simplify]: Extracting #13: cost 0 inf + 101934 283.502 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (+ phi2 phi1)))) 283.502 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (+ phi2 phi1)))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 283.503 * * * * [progress]: [ 768 / 5906 ] simplifiying candidate # 283.503 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 283.504 * * [simplify]: iters left: 6 (52 enodes) 283.532 * * [simplify]: iters left: 5 (255 enodes) 283.637 * * [simplify]: Extracting #0: cost 1 inf + 0 283.637 * * [simplify]: Extracting #1: cost 3 inf + 0 283.637 * * [simplify]: Extracting #2: cost 10 inf + 0 283.637 * * [simplify]: Extracting #3: cost 74 inf + 0 283.638 * * [simplify]: Extracting #4: cost 137 inf + 1 283.639 * * [simplify]: Extracting #5: cost 190 inf + 207 283.640 * * [simplify]: Extracting #6: cost 258 inf + 2321 283.644 * * [simplify]: Extracting #7: cost 233 inf + 7818 283.649 * * [simplify]: Extracting #8: cost 176 inf + 16862 283.658 * * [simplify]: Extracting #9: cost 111 inf + 40945 283.669 * * [simplify]: Extracting #10: cost 52 inf + 67795 283.687 * * [simplify]: Extracting #11: cost 10 inf + 108045 283.720 * * [simplify]: Extracting #12: cost 1 inf + 118990 283.744 * * [simplify]: Extracting #13: cost 0 inf + 121055 283.769 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) 283.769 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 283.770 * * * * [progress]: [ 769 / 5906 ] simplifiying candidate # 283.770 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 283.770 * * [simplify]: iters left: 6 (47 enodes) 283.784 * * [simplify]: iters left: 5 (227 enodes) 283.856 * * [simplify]: Extracting #0: cost 1 inf + 0 283.856 * * [simplify]: Extracting #1: cost 3 inf + 0 283.856 * * [simplify]: Extracting #2: cost 10 inf + 0 283.856 * * [simplify]: Extracting #3: cost 65 inf + 0 283.857 * * [simplify]: Extracting #4: cost 114 inf + 370 283.857 * * [simplify]: Extracting #5: cost 147 inf + 2078 283.858 * * [simplify]: Extracting #6: cost 223 inf + 2932 283.860 * * [simplify]: Extracting #7: cost 223 inf + 3547 283.862 * * [simplify]: Extracting #8: cost 170 inf + 12818 283.870 * * [simplify]: Extracting #9: cost 103 inf + 36564 283.887 * * [simplify]: Extracting #10: cost 31 inf + 71121 283.905 * * [simplify]: Extracting #11: cost 4 inf + 95274 283.929 * * [simplify]: Extracting #12: cost 1 inf + 99869 283.955 * * [simplify]: Extracting #13: cost 0 inf + 101654 283.979 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 283.979 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 283.980 * * * * [progress]: [ 770 / 5906 ] simplifiying candidate # 283.980 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 283.981 * * [simplify]: iters left: 6 (52 enodes) 284.000 * * [simplify]: iters left: 5 (254 enodes) 284.063 * * [simplify]: Extracting #0: cost 1 inf + 0 284.063 * * [simplify]: Extracting #1: cost 3 inf + 0 284.063 * * [simplify]: Extracting #2: cost 6 inf + 0 284.063 * * [simplify]: Extracting #3: cost 56 inf + 0 284.063 * * [simplify]: Extracting #4: cost 130 inf + 0 284.064 * * [simplify]: Extracting #5: cost 210 inf + 0 284.066 * * [simplify]: Extracting #6: cost 281 inf + 1579 284.073 * * [simplify]: Extracting #7: cost 218 inf + 12456 284.084 * * [simplify]: Extracting #8: cost 143 inf + 34011 284.100 * * [simplify]: Extracting #9: cost 98 inf + 52227 284.121 * * [simplify]: Extracting #10: cost 56 inf + 66218 284.144 * * [simplify]: Extracting #11: cost 38 inf + 77706 284.164 * * [simplify]: Extracting #12: cost 7 inf + 115801 284.194 * * [simplify]: Extracting #13: cost 1 inf + 125191 284.228 * * [simplify]: Extracting #14: cost 0 inf + 127336 284.266 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 284.266 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 284.267 * * * * [progress]: [ 771 / 5906 ] simplifiying candidate # 284.267 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 284.268 * * [simplify]: iters left: 6 (53 enodes) 284.295 * * [simplify]: iters left: 5 (263 enodes) 284.414 * * [simplify]: Extracting #0: cost 1 inf + 0 284.414 * * [simplify]: Extracting #1: cost 3 inf + 0 284.414 * * [simplify]: Extracting #2: cost 6 inf + 0 284.414 * * [simplify]: Extracting #3: cost 60 inf + 0 284.415 * * [simplify]: Extracting #4: cost 153 inf + 0 284.416 * * [simplify]: Extracting #5: cost 224 inf + 44 284.419 * * [simplify]: Extracting #6: cost 259 inf + 4977 284.424 * * [simplify]: Extracting #7: cost 215 inf + 13677 284.438 * * [simplify]: Extracting #8: cost 123 inf + 43609 284.454 * * [simplify]: Extracting #9: cost 40 inf + 80433 284.474 * * [simplify]: Extracting #10: cost 8 inf + 113393 284.500 * * [simplify]: Extracting #11: cost 0 inf + 124393 284.527 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 284.527 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 284.527 * * * * [progress]: [ 772 / 5906 ] simplifiying candidate # 284.527 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 284.528 * * [simplify]: iters left: 6 (53 enodes) 284.542 * * [simplify]: iters left: 5 (263 enodes) 284.622 * * [simplify]: Extracting #0: cost 1 inf + 0 284.622 * * [simplify]: Extracting #1: cost 3 inf + 0 284.622 * * [simplify]: Extracting #2: cost 6 inf + 0 284.622 * * [simplify]: Extracting #3: cost 62 inf + 0 284.623 * * [simplify]: Extracting #4: cost 151 inf + 0 284.624 * * [simplify]: Extracting #5: cost 220 inf + 44 284.627 * * [simplify]: Extracting #6: cost 255 inf + 5219 284.634 * * [simplify]: Extracting #7: cost 202 inf + 16609 284.644 * * [simplify]: Extracting #8: cost 151 inf + 29712 284.661 * * [simplify]: Extracting #9: cost 97 inf + 53088 284.685 * * [simplify]: Extracting #10: cost 44 inf + 77525 284.727 * * [simplify]: Extracting #11: cost 9 inf + 110120 284.770 * * [simplify]: Extracting #12: cost 0 inf + 121985 284.800 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 284.800 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 284.801 * * * * [progress]: [ 773 / 5906 ] simplifiying candidate # 284.801 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 284.801 * * [simplify]: iters left: 6 (47 enodes) 284.813 * * [simplify]: iters left: 5 (227 enodes) 284.878 * * [simplify]: Extracting #0: cost 1 inf + 0 284.878 * * [simplify]: Extracting #1: cost 3 inf + 0 284.878 * * [simplify]: Extracting #2: cost 6 inf + 0 284.878 * * [simplify]: Extracting #3: cost 54 inf + 0 284.879 * * [simplify]: Extracting #4: cost 119 inf + 0 284.879 * * [simplify]: Extracting #5: cost 168 inf + 44 284.880 * * [simplify]: Extracting #6: cost 232 inf + 1235 284.881 * * [simplify]: Extracting #7: cost 211 inf + 4777 284.885 * * [simplify]: Extracting #8: cost 126 inf + 24253 284.898 * * [simplify]: Extracting #9: cost 60 inf + 53314 284.928 * * [simplify]: Extracting #10: cost 9 inf + 89899 284.954 * * [simplify]: Extracting #11: cost 1 inf + 98299 284.973 * * [simplify]: Extracting #12: cost 0 inf + 99924 284.994 * * [simplify]: Extracting #13: cost 0 inf + 99884 285.028 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))))) 285.028 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 285.029 * * * * [progress]: [ 774 / 5906 ] simplifiying candidate # 285.029 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 285.030 * * [simplify]: iters left: 6 (52 enodes) 285.056 * * [simplify]: iters left: 5 (255 enodes) 285.146 * * [simplify]: Extracting #0: cost 1 inf + 0 285.146 * * [simplify]: Extracting #1: cost 3 inf + 0 285.146 * * [simplify]: Extracting #2: cost 10 inf + 0 285.146 * * [simplify]: Extracting #3: cost 74 inf + 0 285.147 * * [simplify]: Extracting #4: cost 137 inf + 1 285.147 * * [simplify]: Extracting #5: cost 190 inf + 207 285.148 * * [simplify]: Extracting #6: cost 247 inf + 2818 285.150 * * [simplify]: Extracting #7: cost 202 inf + 12225 285.155 * * [simplify]: Extracting #8: cost 144 inf + 28227 285.168 * * [simplify]: Extracting #9: cost 100 inf + 46750 285.188 * * [simplify]: Extracting #10: cost 53 inf + 63970 285.227 * * [simplify]: Extracting #11: cost 9 inf + 105310 285.271 * * [simplify]: Extracting #12: cost 1 inf + 113190 285.295 * * [simplify]: Extracting #13: cost 0 inf + 115255 285.319 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) 285.319 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 285.319 * * * * [progress]: [ 775 / 5906 ] simplifiying candidate # 285.320 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 285.320 * * [simplify]: iters left: 6 (47 enodes) 285.341 * * [simplify]: iters left: 5 (227 enodes) 285.433 * * [simplify]: Extracting #0: cost 1 inf + 0 285.433 * * [simplify]: Extracting #1: cost 3 inf + 0 285.434 * * [simplify]: Extracting #2: cost 10 inf + 0 285.434 * * [simplify]: Extracting #3: cost 66 inf + 0 285.434 * * [simplify]: Extracting #4: cost 117 inf + 44 285.435 * * [simplify]: Extracting #5: cost 151 inf + 1510 285.437 * * [simplify]: Extracting #6: cost 218 inf + 3016 285.441 * * [simplify]: Extracting #7: cost 190 inf + 7661 285.445 * * [simplify]: Extracting #8: cost 114 inf + 29587 285.456 * * [simplify]: Extracting #9: cost 44 inf + 61593 285.478 * * [simplify]: Extracting #10: cost 7 inf + 89147 285.513 * * [simplify]: Extracting #11: cost 1 inf + 94629 285.556 * * [simplify]: Extracting #12: cost 0 inf + 96414 285.591 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 285.591 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 285.591 * * * * [progress]: [ 776 / 5906 ] simplifiying candidate # 285.592 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 285.592 * * [simplify]: iters left: 6 (52 enodes) 285.605 * * [simplify]: iters left: 5 (255 enodes) 285.672 * * [simplify]: Extracting #0: cost 1 inf + 0 285.672 * * [simplify]: Extracting #1: cost 3 inf + 0 285.672 * * [simplify]: Extracting #2: cost 10 inf + 0 285.672 * * [simplify]: Extracting #3: cost 74 inf + 0 285.673 * * [simplify]: Extracting #4: cost 137 inf + 1 285.674 * * [simplify]: Extracting #5: cost 190 inf + 207 285.676 * * [simplify]: Extracting #6: cost 247 inf + 2816 285.680 * * [simplify]: Extracting #7: cost 198 inf + 12630 285.690 * * [simplify]: Extracting #8: cost 144 inf + 29389 285.705 * * [simplify]: Extracting #9: cost 100 inf + 47589 285.725 * * [simplify]: Extracting #10: cost 54 inf + 64665 285.763 * * [simplify]: Extracting #11: cost 9 inf + 106350 285.788 * * [simplify]: Extracting #12: cost 1 inf + 114590 285.824 * * [simplify]: Extracting #13: cost 0 inf + 116215 285.848 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) 285.848 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 285.848 * * * * [progress]: [ 777 / 5906 ] simplifiying candidate # 285.849 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 285.849 * * [simplify]: iters left: 6 (47 enodes) 285.874 * * [simplify]: iters left: 5 (227 enodes) 285.942 * * [simplify]: Extracting #0: cost 1 inf + 0 285.942 * * [simplify]: Extracting #1: cost 3 inf + 0 285.942 * * [simplify]: Extracting #2: cost 10 inf + 0 285.943 * * [simplify]: Extracting #3: cost 65 inf + 0 285.943 * * [simplify]: Extracting #4: cost 117 inf + 44 285.943 * * [simplify]: Extracting #5: cost 158 inf + 496 285.944 * * [simplify]: Extracting #6: cost 219 inf + 2814 285.946 * * [simplify]: Extracting #7: cost 189 inf + 8105 285.950 * * [simplify]: Extracting #8: cost 138 inf + 23026 285.957 * * [simplify]: Extracting #9: cost 91 inf + 41225 285.968 * * [simplify]: Extracting #10: cost 31 inf + 66185 286.005 * * [simplify]: Extracting #11: cost 4 inf + 90434 286.023 * * [simplify]: Extracting #12: cost 1 inf + 95029 286.052 * * [simplify]: Extracting #13: cost 0 inf + 96814 286.085 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 286.085 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 286.085 * * * * [progress]: [ 778 / 5906 ] simplifiying candidate # 286.086 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 286.086 * * [simplify]: iters left: 6 (52 enodes) 286.099 * * [simplify]: iters left: 5 (254 enodes) 286.197 * * [simplify]: Extracting #0: cost 1 inf + 0 286.197 * * [simplify]: Extracting #1: cost 3 inf + 0 286.197 * * [simplify]: Extracting #2: cost 6 inf + 0 286.197 * * [simplify]: Extracting #3: cost 56 inf + 0 286.198 * * [simplify]: Extracting #4: cost 130 inf + 0 286.199 * * [simplify]: Extracting #5: cost 215 inf + 0 286.201 * * [simplify]: Extracting #6: cost 312 inf + 681 286.204 * * [simplify]: Extracting #7: cost 268 inf + 8619 286.212 * * [simplify]: Extracting #8: cost 171 inf + 29318 286.229 * * [simplify]: Extracting #9: cost 98 inf + 53225 286.258 * * [simplify]: Extracting #10: cost 51 inf + 74850 286.295 * * [simplify]: Extracting #11: cost 14 inf + 111255 286.343 * * [simplify]: Extracting #12: cost 1 inf + 126940 286.388 * * [simplify]: Extracting #13: cost 0 inf + 128965 286.416 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 286.416 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 286.417 * * * * [progress]: [ 779 / 5906 ] simplifiying candidate # 286.417 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 286.417 * * [simplify]: iters left: 6 (53 enodes) 286.432 * * [simplify]: iters left: 5 (263 enodes) 286.508 * * [simplify]: Extracting #0: cost 1 inf + 0 286.508 * * [simplify]: Extracting #1: cost 3 inf + 0 286.508 * * [simplify]: Extracting #2: cost 6 inf + 0 286.508 * * [simplify]: Extracting #3: cost 60 inf + 0 286.509 * * [simplify]: Extracting #4: cost 153 inf + 0 286.510 * * [simplify]: Extracting #5: cost 229 inf + 44 286.513 * * [simplify]: Extracting #6: cost 287 inf + 4603 286.518 * * [simplify]: Extracting #7: cost 254 inf + 11784 286.527 * * [simplify]: Extracting #8: cost 162 inf + 33965 286.550 * * [simplify]: Extracting #9: cost 65 inf + 70402 286.591 * * [simplify]: Extracting #10: cost 8 inf + 122342 286.640 * * [simplify]: Extracting #11: cost 0 inf + 131982 286.692 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 286.692 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 286.693 * * * * [progress]: [ 780 / 5906 ] simplifiying candidate # 286.694 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 286.694 * * [simplify]: iters left: 6 (53 enodes) 286.721 * * [simplify]: iters left: 5 (263 enodes) 286.828 * * [simplify]: Extracting #0: cost 1 inf + 0 286.828 * * [simplify]: Extracting #1: cost 3 inf + 0 286.828 * * [simplify]: Extracting #2: cost 6 inf + 0 286.828 * * [simplify]: Extracting #3: cost 62 inf + 0 286.828 * * [simplify]: Extracting #4: cost 151 inf + 0 286.829 * * [simplify]: Extracting #5: cost 225 inf + 44 286.831 * * [simplify]: Extracting #6: cost 280 inf + 5489 286.834 * * [simplify]: Extracting #7: cost 254 inf + 12487 286.839 * * [simplify]: Extracting #8: cost 169 inf + 32297 286.850 * * [simplify]: Extracting #9: cost 68 inf + 68362 286.863 * * [simplify]: Extracting #10: cost 48 inf + 79894 286.893 * * [simplify]: Extracting #11: cost 6 inf + 123104 286.927 * * [simplify]: Extracting #12: cost 0 inf + 129574 286.977 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 286.977 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 286.978 * * * * [progress]: [ 781 / 5906 ] simplifiying candidate # 286.979 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 286.979 * * [simplify]: iters left: 6 (47 enodes) 287.003 * * [simplify]: iters left: 5 (227 enodes) 287.080 * * [simplify]: Extracting #0: cost 1 inf + 0 287.080 * * [simplify]: Extracting #1: cost 3 inf + 0 287.080 * * [simplify]: Extracting #2: cost 6 inf + 0 287.081 * * [simplify]: Extracting #3: cost 54 inf + 0 287.081 * * [simplify]: Extracting #4: cost 119 inf + 0 287.081 * * [simplify]: Extracting #5: cost 173 inf + 44 287.082 * * [simplify]: Extracting #6: cost 252 inf + 1476 287.083 * * [simplify]: Extracting #7: cost 242 inf + 3631 287.087 * * [simplify]: Extracting #8: cost 150 inf + 23031 287.097 * * [simplify]: Extracting #9: cost 79 inf + 47633 287.116 * * [simplify]: Extracting #10: cost 19 inf + 91801 287.139 * * [simplify]: Extracting #11: cost 3 inf + 105840 287.181 * * [simplify]: Extracting #12: cost 0 inf + 108433 287.212 * * [simplify]: Extracting #13: cost 0 inf + 107993 287.243 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 287.243 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 287.244 * * * * [progress]: [ 782 / 5906 ] simplifiying candidate # 287.245 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 287.245 * * [simplify]: iters left: 6 (52 enodes) 287.274 * * [simplify]: iters left: 5 (255 enodes) 287.355 * * [simplify]: Extracting #0: cost 1 inf + 0 287.355 * * [simplify]: Extracting #1: cost 3 inf + 0 287.355 * * [simplify]: Extracting #2: cost 10 inf + 0 287.355 * * [simplify]: Extracting #3: cost 74 inf + 0 287.355 * * [simplify]: Extracting #4: cost 137 inf + 1 287.356 * * [simplify]: Extracting #5: cost 194 inf + 248 287.358 * * [simplify]: Extracting #6: cost 279 inf + 1557 287.361 * * [simplify]: Extracting #7: cost 257 inf + 6486 287.366 * * [simplify]: Extracting #8: cost 182 inf + 21793 287.372 * * [simplify]: Extracting #9: cost 120 inf + 38820 287.382 * * [simplify]: Extracting #10: cost 60 inf + 66247 287.411 * * [simplify]: Extracting #11: cost 10 inf + 111434 287.461 * * [simplify]: Extracting #12: cost 1 inf + 120539 287.510 * * [simplify]: Extracting #13: cost 0 inf + 122564 287.558 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) 287.559 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 287.560 * * * * [progress]: [ 783 / 5906 ] simplifiying candidate # 287.560 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 287.561 * * [simplify]: iters left: 6 (47 enodes) 287.584 * * [simplify]: iters left: 5 (227 enodes) 287.673 * * [simplify]: Extracting #0: cost 1 inf + 0 287.673 * * [simplify]: Extracting #1: cost 3 inf + 0 287.673 * * [simplify]: Extracting #2: cost 10 inf + 0 287.673 * * [simplify]: Extracting #3: cost 66 inf + 0 287.673 * * [simplify]: Extracting #4: cost 117 inf + 44 287.674 * * [simplify]: Extracting #5: cost 158 inf + 1186 287.676 * * [simplify]: Extracting #6: cost 241 inf + 2972 287.679 * * [simplify]: Extracting #7: cost 242 inf + 3586 287.686 * * [simplify]: Extracting #8: cost 139 inf + 26408 287.704 * * [simplify]: Extracting #9: cost 62 inf + 56742 287.721 * * [simplify]: Extracting #10: cost 13 inf + 92824 287.748 * * [simplify]: Extracting #11: cost 1 inf + 103458 287.773 * * [simplify]: Extracting #12: cost 0 inf + 105203 287.799 * * [simplify]: Extracting #13: cost 0 inf + 105083 287.841 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))))) 287.841 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 287.842 * * * * [progress]: [ 784 / 5906 ] simplifiying candidate # 287.842 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 287.842 * * [simplify]: iters left: 6 (52 enodes) 287.855 * * [simplify]: iters left: 5 (255 enodes) 287.942 * * [simplify]: Extracting #0: cost 1 inf + 0 287.942 * * [simplify]: Extracting #1: cost 3 inf + 0 287.942 * * [simplify]: Extracting #2: cost 10 inf + 0 287.943 * * [simplify]: Extracting #3: cost 74 inf + 0 287.943 * * [simplify]: Extracting #4: cost 137 inf + 1 287.944 * * [simplify]: Extracting #5: cost 194 inf + 248 287.946 * * [simplify]: Extracting #6: cost 280 inf + 1395 287.949 * * [simplify]: Extracting #7: cost 257 inf + 6657 287.955 * * [simplify]: Extracting #8: cost 184 inf + 20916 287.967 * * [simplify]: Extracting #9: cost 119 inf + 39354 287.989 * * [simplify]: Extracting #10: cost 59 inf + 67552 288.024 * * [simplify]: Extracting #11: cost 10 inf + 112554 288.051 * * [simplify]: Extracting #12: cost 1 inf + 121659 288.102 * * [simplify]: Extracting #13: cost 0 inf + 123684 288.144 * [simplify]: Simplified to (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) 288.144 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 288.145 * * * * [progress]: [ 785 / 5906 ] simplifiying candidate # 288.145 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 288.145 * * [simplify]: iters left: 6 (47 enodes) 288.157 * * [simplify]: iters left: 5 (227 enodes) 288.223 * * [simplify]: Extracting #0: cost 1 inf + 0 288.223 * * [simplify]: Extracting #1: cost 3 inf + 0 288.223 * * [simplify]: Extracting #2: cost 10 inf + 0 288.223 * * [simplify]: Extracting #3: cost 65 inf + 0 288.223 * * [simplify]: Extracting #4: cost 117 inf + 44 288.224 * * [simplify]: Extracting #5: cost 162 inf + 618 288.225 * * [simplify]: Extracting #6: cost 242 inf + 2770 288.226 * * [simplify]: Extracting #7: cost 242 inf + 3506 288.231 * * [simplify]: Extracting #8: cost 143 inf + 24389 288.250 * * [simplify]: Extracting #9: cost 62 inf + 57024 288.285 * * [simplify]: Extracting #10: cost 13 inf + 93144 288.307 * * [simplify]: Extracting #11: cost 1 inf + 103858 288.337 * * [simplify]: Extracting #12: cost 0 inf + 105603 288.361 * * [simplify]: Extracting #13: cost 0 inf + 105483 288.388 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))))) 288.388 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 288.389 * * * * [progress]: [ 786 / 5906 ] simplifiying candidate # 288.389 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 288.389 * * [simplify]: iters left: 6 (48 enodes) 288.403 * * [simplify]: iters left: 5 (227 enodes) 288.490 * * [simplify]: Extracting #0: cost 1 inf + 0 288.491 * * [simplify]: Extracting #1: cost 3 inf + 0 288.491 * * [simplify]: Extracting #2: cost 6 inf + 0 288.491 * * [simplify]: Extracting #3: cost 48 inf + 0 288.491 * * [simplify]: Extracting #4: cost 112 inf + 0 288.492 * * [simplify]: Extracting #5: cost 184 inf + 0 288.493 * * [simplify]: Extracting #6: cost 253 inf + 974 288.496 * * [simplify]: Extracting #7: cost 209 inf + 9658 288.503 * * [simplify]: Extracting #8: cost 121 inf + 26118 288.520 * * [simplify]: Extracting #9: cost 51 inf + 53385 288.552 * * [simplify]: Extracting #10: cost 6 inf + 96362 288.573 * * [simplify]: Extracting #11: cost 0 inf + 102931 288.594 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 288.594 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 288.594 * * * * [progress]: [ 787 / 5906 ] simplifiying candidate # 288.595 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 288.595 * * [simplify]: iters left: 6 (49 enodes) 288.608 * * [simplify]: iters left: 5 (236 enodes) 288.672 * * [simplify]: Extracting #0: cost 1 inf + 0 288.672 * * [simplify]: Extracting #1: cost 3 inf + 0 288.672 * * [simplify]: Extracting #2: cost 6 inf + 0 288.672 * * [simplify]: Extracting #3: cost 52 inf + 0 288.672 * * [simplify]: Extracting #4: cost 135 inf + 0 288.673 * * [simplify]: Extracting #5: cost 197 inf + 85 288.674 * * [simplify]: Extracting #6: cost 221 inf + 7261 288.677 * * [simplify]: Extracting #7: cost 199 inf + 12178 288.684 * * [simplify]: Extracting #8: cost 151 inf + 19645 288.693 * * [simplify]: Extracting #9: cost 107 inf + 29389 288.709 * * [simplify]: Extracting #10: cost 62 inf + 49840 288.731 * * [simplify]: Extracting #11: cost 33 inf + 69485 288.769 * * [simplify]: Extracting #12: cost 2 inf + 102578 288.811 * * [simplify]: Extracting #13: cost 0 inf + 105508 288.833 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (+ phi2 phi1)) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 288.833 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (+ phi2 phi1)) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 288.833 * * * * [progress]: [ 788 / 5906 ] simplifiying candidate # 288.834 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 288.834 * * [simplify]: iters left: 6 (49 enodes) 288.852 * * [simplify]: iters left: 5 (236 enodes) 288.947 * * [simplify]: Extracting #0: cost 1 inf + 0 288.947 * * [simplify]: Extracting #1: cost 3 inf + 0 288.947 * * [simplify]: Extracting #2: cost 6 inf + 0 288.947 * * [simplify]: Extracting #3: cost 54 inf + 0 288.947 * * [simplify]: Extracting #4: cost 133 inf + 0 288.948 * * [simplify]: Extracting #5: cost 192 inf + 166 288.949 * * [simplify]: Extracting #6: cost 225 inf + 5404 288.951 * * [simplify]: Extracting #7: cost 197 inf + 12075 288.955 * * [simplify]: Extracting #8: cost 131 inf + 25795 288.962 * * [simplify]: Extracting #9: cost 69 inf + 45059 288.977 * * [simplify]: Extracting #10: cost 26 inf + 81972 289.006 * * [simplify]: Extracting #11: cost 1 inf + 102656 289.030 * * [simplify]: Extracting #12: cost 0 inf + 103380 289.051 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 289.052 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 289.052 * * * * [progress]: [ 789 / 5906 ] simplifiying candidate # 289.052 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 289.053 * * [simplify]: iters left: 6 (43 enodes) 289.063 * * [simplify]: iters left: 5 (199 enodes) 289.118 * * [simplify]: Extracting #0: cost 1 inf + 0 289.118 * * [simplify]: Extracting #1: cost 3 inf + 0 289.118 * * [simplify]: Extracting #2: cost 6 inf + 0 289.119 * * [simplify]: Extracting #3: cost 46 inf + 0 289.119 * * [simplify]: Extracting #4: cost 101 inf + 0 289.122 * * [simplify]: Extracting #5: cost 140 inf + 167 289.122 * * [simplify]: Extracting #6: cost 195 inf + 1717 289.124 * * [simplify]: Extracting #7: cost 186 inf + 3509 289.126 * * [simplify]: Extracting #8: cost 124 inf + 15262 289.132 * * [simplify]: Extracting #9: cost 70 inf + 33936 289.145 * * [simplify]: Extracting #10: cost 18 inf + 71041 289.161 * * [simplify]: Extracting #11: cost 1 inf + 83076 289.179 * * [simplify]: Extracting #12: cost 0 inf + 81999 289.201 * * [simplify]: Extracting #13: cost 0 inf + 81839 289.227 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 289.227 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 289.227 * * * * [progress]: [ 790 / 5906 ] simplifiying candidate # 289.228 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 289.228 * * [simplify]: iters left: 6 (48 enodes) 289.242 * * [simplify]: iters left: 5 (227 enodes) 289.288 * * [simplify]: Extracting #0: cost 1 inf + 0 289.288 * * [simplify]: Extracting #1: cost 3 inf + 0 289.288 * * [simplify]: Extracting #2: cost 10 inf + 0 289.289 * * [simplify]: Extracting #3: cost 62 inf + 0 289.289 * * [simplify]: Extracting #4: cost 115 inf + 42 289.289 * * [simplify]: Extracting #5: cost 161 inf + 207 289.290 * * [simplify]: Extracting #6: cost 216 inf + 2123 289.292 * * [simplify]: Extracting #7: cost 196 inf + 6996 289.294 * * [simplify]: Extracting #8: cost 144 inf + 15642 289.298 * * [simplify]: Extracting #9: cost 103 inf + 24404 289.308 * * [simplify]: Extracting #10: cost 54 inf + 49176 289.323 * * [simplify]: Extracting #11: cost 8 inf + 86916 289.349 * * [simplify]: Extracting #12: cost 0 inf + 96735 289.388 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 289.388 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 289.389 * * * * [progress]: [ 791 / 5906 ] simplifiying candidate # 289.390 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 289.390 * * [simplify]: iters left: 6 (43 enodes) 289.418 * * [simplify]: iters left: 5 (199 enodes) 289.481 * * [simplify]: Extracting #0: cost 1 inf + 0 289.481 * * [simplify]: Extracting #1: cost 3 inf + 0 289.481 * * [simplify]: Extracting #2: cost 10 inf + 0 289.481 * * [simplify]: Extracting #3: cost 54 inf + 0 289.481 * * [simplify]: Extracting #4: cost 95 inf + 86 289.482 * * [simplify]: Extracting #5: cost 121 inf + 1432 289.483 * * [simplify]: Extracting #6: cost 181 inf + 2932 289.484 * * [simplify]: Extracting #7: cost 184 inf + 3303 289.486 * * [simplify]: Extracting #8: cost 128 inf + 12772 289.491 * * [simplify]: Extracting #9: cost 67 inf + 32236 289.503 * * [simplify]: Extracting #10: cost 28 inf + 55088 289.531 * * [simplify]: Extracting #11: cost 4 inf + 73194 289.553 * * [simplify]: Extracting #12: cost 0 inf + 78054 289.569 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) 289.569 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 289.570 * * * * [progress]: [ 792 / 5906 ] simplifiying candidate # 289.570 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 289.570 * * [simplify]: iters left: 6 (48 enodes) 289.587 * * [simplify]: iters left: 5 (227 enodes) 289.662 * * [simplify]: Extracting #0: cost 1 inf + 0 289.662 * * [simplify]: Extracting #1: cost 3 inf + 0 289.663 * * [simplify]: Extracting #2: cost 10 inf + 0 289.663 * * [simplify]: Extracting #3: cost 62 inf + 0 289.663 * * [simplify]: Extracting #4: cost 115 inf + 42 289.664 * * [simplify]: Extracting #5: cost 160 inf + 249 289.666 * * [simplify]: Extracting #6: cost 218 inf + 1880 289.669 * * [simplify]: Extracting #7: cost 194 inf + 8704 289.673 * * [simplify]: Extracting #8: cost 144 inf + 15813 289.680 * * [simplify]: Extracting #9: cost 104 inf + 24140 289.698 * * [simplify]: Extracting #10: cost 53 inf + 49841 289.714 * * [simplify]: Extracting #11: cost 8 inf + 87636 289.734 * * [simplify]: Extracting #12: cost 0 inf + 97535 289.756 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 289.756 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 289.757 * * * * [progress]: [ 793 / 5906 ] simplifiying candidate # 289.758 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 289.758 * * [simplify]: iters left: 6 (43 enodes) 289.780 * * [simplify]: iters left: 5 (199 enodes) 289.856 * * [simplify]: Extracting #0: cost 1 inf + 0 289.856 * * [simplify]: Extracting #1: cost 3 inf + 0 289.856 * * [simplify]: Extracting #2: cost 10 inf + 0 289.856 * * [simplify]: Extracting #3: cost 53 inf + 0 289.856 * * [simplify]: Extracting #4: cost 96 inf + 44 289.857 * * [simplify]: Extracting #5: cost 125 inf + 1105 289.859 * * [simplify]: Extracting #6: cost 181 inf + 2932 289.861 * * [simplify]: Extracting #7: cost 183 inf + 3384 289.866 * * [simplify]: Extracting #8: cost 127 inf + 13255 289.877 * * [simplify]: Extracting #9: cost 62 inf + 36809 289.895 * * [simplify]: Extracting #10: cost 29 inf + 54337 289.923 * * [simplify]: Extracting #11: cost 4 inf + 73274 289.954 * * [simplify]: Extracting #12: cost 0 inf + 78294 289.986 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) 289.987 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 289.987 * * * * [progress]: [ 794 / 5906 ] simplifiying candidate # 289.988 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 289.989 * * [simplify]: iters left: 6 (52 enodes) 290.015 * * [simplify]: iters left: 5 (249 enodes) 290.095 * * [simplify]: Extracting #0: cost 1 inf + 0 290.095 * * [simplify]: Extracting #1: cost 3 inf + 0 290.095 * * [simplify]: Extracting #2: cost 6 inf + 0 290.095 * * [simplify]: Extracting #3: cost 53 inf + 0 290.095 * * [simplify]: Extracting #4: cost 118 inf + 0 290.096 * * [simplify]: Extracting #5: cost 187 inf + 0 290.099 * * [simplify]: Extracting #6: cost 267 inf + 510 290.100 * * [simplify]: Extracting #7: cost 234 inf + 6427 290.104 * * [simplify]: Extracting #8: cost 126 inf + 29543 290.120 * * [simplify]: Extracting #9: cost 69 inf + 48305 290.152 * * [simplify]: Extracting #10: cost 9 inf + 99935 290.193 * * [simplify]: Extracting #11: cost 1 inf + 108293 290.236 * * [simplify]: Extracting #12: cost 0 inf + 110118 290.280 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 290.280 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 290.282 * * * * [progress]: [ 795 / 5906 ] simplifiying candidate # 290.282 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 290.283 * * [simplify]: iters left: 6 (53 enodes) 290.311 * * [simplify]: iters left: 5 (258 enodes) 290.390 * * [simplify]: Extracting #0: cost 1 inf + 0 290.390 * * [simplify]: Extracting #1: cost 3 inf + 0 290.390 * * [simplify]: Extracting #2: cost 6 inf + 0 290.390 * * [simplify]: Extracting #3: cost 56 inf + 0 290.391 * * [simplify]: Extracting #4: cost 140 inf + 0 290.391 * * [simplify]: Extracting #5: cost 200 inf + 44 290.395 * * [simplify]: Extracting #6: cost 246 inf + 3834 290.398 * * [simplify]: Extracting #7: cost 209 inf + 12514 290.401 * * [simplify]: Extracting #8: cost 156 inf + 20568 290.410 * * [simplify]: Extracting #9: cost 106 inf + 36001 290.429 * * [simplify]: Extracting #10: cost 49 inf + 62485 290.454 * * [simplify]: Extracting #11: cost 32 inf + 74710 290.489 * * [simplify]: Extracting #12: cost 5 inf + 103865 290.533 * * [simplify]: Extracting #13: cost 0 inf + 110870 290.577 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 290.577 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 290.578 * * * * [progress]: [ 796 / 5906 ] simplifiying candidate # 290.578 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 290.579 * * [simplify]: iters left: 6 (53 enodes) 290.593 * * [simplify]: iters left: 5 (258 enodes) 290.674 * * [simplify]: Extracting #0: cost 1 inf + 0 290.674 * * [simplify]: Extracting #1: cost 3 inf + 0 290.674 * * [simplify]: Extracting #2: cost 6 inf + 0 290.674 * * [simplify]: Extracting #3: cost 58 inf + 0 290.675 * * [simplify]: Extracting #4: cost 138 inf + 0 290.676 * * [simplify]: Extracting #5: cost 196 inf + 44 290.678 * * [simplify]: Extracting #6: cost 230 inf + 6497 290.683 * * [simplify]: Extracting #7: cost 202 inf + 12038 290.692 * * [simplify]: Extracting #8: cost 132 inf + 25816 290.710 * * [simplify]: Extracting #9: cost 69 inf + 48845 290.732 * * [simplify]: Extracting #10: cost 34 inf + 71172 290.766 * * [simplify]: Extracting #11: cost 7 inf + 99687 290.789 * * [simplify]: Extracting #12: cost 0 inf + 108582 290.824 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 290.824 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 290.825 * * * * [progress]: [ 797 / 5906 ] simplifiying candidate # 290.825 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 290.826 * * [simplify]: iters left: 6 (47 enodes) 290.847 * * [simplify]: iters left: 5 (221 enodes) 290.904 * * [simplify]: Extracting #0: cost 1 inf + 0 290.904 * * [simplify]: Extracting #1: cost 3 inf + 0 290.904 * * [simplify]: Extracting #2: cost 6 inf + 0 290.904 * * [simplify]: Extracting #3: cost 50 inf + 0 290.905 * * [simplify]: Extracting #4: cost 107 inf + 0 290.905 * * [simplify]: Extracting #5: cost 145 inf + 44 290.907 * * [simplify]: Extracting #6: cost 210 inf + 1110 290.909 * * [simplify]: Extracting #7: cost 197 inf + 3428 290.914 * * [simplify]: Extracting #8: cost 135 inf + 15267 290.928 * * [simplify]: Extracting #9: cost 82 inf + 32550 290.943 * * [simplify]: Extracting #10: cost 39 inf + 57396 290.958 * * [simplify]: Extracting #11: cost 8 inf + 82683 290.975 * * [simplify]: Extracting #12: cost 1 inf + 89138 290.993 * * [simplify]: Extracting #13: cost 0 inf + 90803 291.011 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ phi2 phi1))))))) 291.011 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 291.011 * * * * [progress]: [ 798 / 5906 ] simplifiying candidate # 291.012 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 291.012 * * [simplify]: iters left: 6 (52 enodes) 291.041 * * [simplify]: iters left: 5 (249 enodes) 291.134 * * [simplify]: Extracting #0: cost 1 inf + 0 291.134 * * [simplify]: Extracting #1: cost 3 inf + 0 291.134 * * [simplify]: Extracting #2: cost 10 inf + 0 291.134 * * [simplify]: Extracting #3: cost 66 inf + 0 291.135 * * [simplify]: Extracting #4: cost 126 inf + 1 291.135 * * [simplify]: Extracting #5: cost 168 inf + 207 291.137 * * [simplify]: Extracting #6: cost 233 inf + 2121 291.140 * * [simplify]: Extracting #7: cost 217 inf + 6670 291.146 * * [simplify]: Extracting #8: cost 135 inf + 21964 291.163 * * [simplify]: Extracting #9: cost 59 inf + 52585 291.196 * * [simplify]: Extracting #10: cost 5 inf + 99139 291.217 * * [simplify]: Extracting #11: cost 1 inf + 103317 291.252 * * [simplify]: Extracting #12: cost 0 inf + 105142 291.274 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) 291.274 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 291.275 * * * * [progress]: [ 799 / 5906 ] simplifiying candidate # 291.275 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 291.276 * * [simplify]: iters left: 6 (47 enodes) 291.288 * * [simplify]: iters left: 5 (222 enodes) 291.336 * * [simplify]: Extracting #0: cost 1 inf + 0 291.336 * * [simplify]: Extracting #1: cost 3 inf + 0 291.336 * * [simplify]: Extracting #2: cost 10 inf + 0 291.336 * * [simplify]: Extracting #3: cost 57 inf + 0 291.337 * * [simplify]: Extracting #4: cost 102 inf + 370 291.338 * * [simplify]: Extracting #5: cost 121 inf + 2526 291.340 * * [simplify]: Extracting #6: cost 197 inf + 2932 291.342 * * [simplify]: Extracting #7: cost 196 inf + 3628 291.345 * * [simplify]: Extracting #8: cost 165 inf + 7810 291.352 * * [simplify]: Extracting #9: cost 117 inf + 18196 291.362 * * [simplify]: Extracting #10: cost 52 inf + 44403 291.373 * * [simplify]: Extracting #11: cost 17 inf + 67154 291.397 * * [simplify]: Extracting #12: cost 3 inf + 80384 291.423 * * [simplify]: Extracting #13: cost 0 inf + 84979 291.440 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (- phi1 phi2))) (- phi1 phi2)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) 291.440 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (- phi1 phi2))) (- phi1 phi2)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 291.441 * * * * [progress]: [ 800 / 5906 ] simplifiying candidate # 291.441 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 291.441 * * [simplify]: iters left: 6 (52 enodes) 291.461 * * [simplify]: iters left: 5 (249 enodes) 291.543 * * [simplify]: Extracting #0: cost 1 inf + 0 291.543 * * [simplify]: Extracting #1: cost 3 inf + 0 291.543 * * [simplify]: Extracting #2: cost 10 inf + 0 291.543 * * [simplify]: Extracting #3: cost 66 inf + 0 291.544 * * [simplify]: Extracting #4: cost 126 inf + 1 291.544 * * [simplify]: Extracting #5: cost 168 inf + 207 291.545 * * [simplify]: Extracting #6: cost 233 inf + 1840 291.547 * * [simplify]: Extracting #7: cost 215 inf + 6954 291.550 * * [simplify]: Extracting #8: cost 136 inf + 21539 291.559 * * [simplify]: Extracting #9: cost 59 inf + 52623 291.594 * * [simplify]: Extracting #10: cost 6 inf + 98034 291.635 * * [simplify]: Extracting #11: cost 1 inf + 104117 291.668 * * [simplify]: Extracting #12: cost 0 inf + 105942 291.690 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) 291.690 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 291.691 * * * * [progress]: [ 801 / 5906 ] simplifiying candidate # 291.691 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 291.691 * * [simplify]: iters left: 6 (47 enodes) 291.705 * * [simplify]: iters left: 5 (222 enodes) 291.792 * * [simplify]: Extracting #0: cost 1 inf + 0 291.792 * * [simplify]: Extracting #1: cost 3 inf + 0 291.792 * * [simplify]: Extracting #2: cost 10 inf + 0 291.792 * * [simplify]: Extracting #3: cost 56 inf + 0 291.793 * * [simplify]: Extracting #4: cost 104 inf + 86 291.794 * * [simplify]: Extracting #5: cost 123 inf + 2322 291.796 * * [simplify]: Extracting #6: cost 197 inf + 2932 291.798 * * [simplify]: Extracting #7: cost 197 inf + 3546 291.801 * * [simplify]: Extracting #8: cost 164 inf + 7972 291.808 * * [simplify]: Extracting #9: cost 115 inf + 18818 291.822 * * [simplify]: Extracting #10: cost 51 inf + 45247 291.845 * * [simplify]: Extracting #11: cost 17 inf + 67474 291.876 * * [simplify]: Extracting #12: cost 3 inf + 80704 291.910 * * [simplify]: Extracting #13: cost 0 inf + 85299 291.928 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) 291.928 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 291.929 * * * * [progress]: [ 802 / 5906 ] simplifiying candidate # 291.929 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 291.929 * * [simplify]: iters left: 6 (52 enodes) 291.947 * * [simplify]: iters left: 5 (254 enodes) 292.016 * * [simplify]: Extracting #0: cost 1 inf + 0 292.016 * * [simplify]: Extracting #1: cost 3 inf + 0 292.016 * * [simplify]: Extracting #2: cost 6 inf + 0 292.016 * * [simplify]: Extracting #3: cost 56 inf + 0 292.017 * * [simplify]: Extracting #4: cost 130 inf + 0 292.018 * * [simplify]: Extracting #5: cost 210 inf + 0 292.019 * * [simplify]: Extracting #6: cost 293 inf + 933 292.025 * * [simplify]: Extracting #7: cost 255 inf + 8042 292.034 * * [simplify]: Extracting #8: cost 147 inf + 31039 292.047 * * [simplify]: Extracting #9: cost 62 inf + 63036 292.067 * * [simplify]: Extracting #10: cost 9 inf + 111311 292.112 * * [simplify]: Extracting #11: cost 1 inf + 121391 292.159 * * [simplify]: Extracting #12: cost 0 inf + 123416 292.210 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 292.210 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 292.211 * * * * [progress]: [ 803 / 5906 ] simplifiying candidate # 292.211 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 292.212 * * [simplify]: iters left: 6 (53 enodes) 292.239 * * [simplify]: iters left: 5 (263 enodes) 292.347 * * [simplify]: Extracting #0: cost 1 inf + 0 292.348 * * [simplify]: Extracting #1: cost 3 inf + 0 292.348 * * [simplify]: Extracting #2: cost 6 inf + 0 292.348 * * [simplify]: Extracting #3: cost 60 inf + 0 292.348 * * [simplify]: Extracting #4: cost 153 inf + 0 292.350 * * [simplify]: Extracting #5: cost 224 inf + 44 292.352 * * [simplify]: Extracting #6: cost 272 inf + 4197 292.357 * * [simplify]: Extracting #7: cost 239 inf + 11126 292.368 * * [simplify]: Extracting #8: cost 145 inf + 36130 292.387 * * [simplify]: Extracting #9: cost 65 inf + 64733 292.414 * * [simplify]: Extracting #10: cost 11 inf + 112541 292.444 * * [simplify]: Extracting #11: cost 0 inf + 126233 292.476 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 292.476 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 292.476 * * * * [progress]: [ 804 / 5906 ] simplifiying candidate # 292.477 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 292.477 * * [simplify]: iters left: 6 (53 enodes) 292.492 * * [simplify]: iters left: 5 (263 enodes) 292.573 * * [simplify]: Extracting #0: cost 1 inf + 0 292.573 * * [simplify]: Extracting #1: cost 3 inf + 0 292.573 * * [simplify]: Extracting #2: cost 6 inf + 0 292.573 * * [simplify]: Extracting #3: cost 62 inf + 0 292.574 * * [simplify]: Extracting #4: cost 151 inf + 0 292.575 * * [simplify]: Extracting #5: cost 220 inf + 44 292.578 * * [simplify]: Extracting #6: cost 266 inf + 4801 292.583 * * [simplify]: Extracting #7: cost 233 inf + 12094 292.590 * * [simplify]: Extracting #8: cost 169 inf + 24350 292.598 * * [simplify]: Extracting #9: cost 109 inf + 46350 292.611 * * [simplify]: Extracting #10: cost 50 inf + 74097 292.647 * * [simplify]: Extracting #11: cost 6 inf + 119675 292.695 * * [simplify]: Extracting #12: cost 0 inf + 126465 292.730 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 292.730 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 292.731 * * * * [progress]: [ 805 / 5906 ] simplifiying candidate # 292.731 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 292.731 * * [simplify]: iters left: 6 (47 enodes) 292.743 * * [simplify]: iters left: 5 (227 enodes) 292.811 * * [simplify]: Extracting #0: cost 1 inf + 0 292.811 * * [simplify]: Extracting #1: cost 3 inf + 0 292.811 * * [simplify]: Extracting #2: cost 6 inf + 0 292.811 * * [simplify]: Extracting #3: cost 54 inf + 0 292.811 * * [simplify]: Extracting #4: cost 119 inf + 0 292.812 * * [simplify]: Extracting #5: cost 168 inf + 44 292.812 * * [simplify]: Extracting #6: cost 236 inf + 1233 292.814 * * [simplify]: Extracting #7: cost 219 inf + 4160 292.817 * * [simplify]: Extracting #8: cost 138 inf + 21994 292.825 * * [simplify]: Extracting #9: cost 81 inf + 42717 292.856 * * [simplify]: Extracting #10: cost 11 inf + 92518 292.895 * * [simplify]: Extracting #11: cost 1 inf + 101259 292.926 * * [simplify]: Extracting #12: cost 0 inf + 102284 292.949 * * [simplify]: Extracting #13: cost 0 inf + 102244 292.970 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 292.970 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 292.971 * * * * [progress]: [ 806 / 5906 ] simplifiying candidate # 292.971 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 292.972 * * [simplify]: iters left: 6 (52 enodes) 292.998 * * [simplify]: iters left: 5 (255 enodes) 293.100 * * [simplify]: Extracting #0: cost 1 inf + 0 293.100 * * [simplify]: Extracting #1: cost 3 inf + 0 293.100 * * [simplify]: Extracting #2: cost 10 inf + 0 293.100 * * [simplify]: Extracting #3: cost 74 inf + 0 293.100 * * [simplify]: Extracting #4: cost 137 inf + 1 293.101 * * [simplify]: Extracting #5: cost 189 inf + 248 293.102 * * [simplify]: Extracting #6: cost 259 inf + 2161 293.103 * * [simplify]: Extracting #7: cost 234 inf + 7787 293.107 * * [simplify]: Extracting #8: cost 156 inf + 24030 293.115 * * [simplify]: Extracting #9: cost 65 inf + 56926 293.135 * * [simplify]: Extracting #10: cost 8 inf + 107895 293.160 * * [simplify]: Extracting #11: cost 0 inf + 117975 293.209 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) 293.209 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 293.209 * * * * [progress]: [ 807 / 5906 ] simplifiying candidate # 293.209 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 293.210 * * [simplify]: iters left: 6 (47 enodes) 293.221 * * [simplify]: iters left: 5 (227 enodes) 293.268 * * [simplify]: Extracting #0: cost 1 inf + 0 293.268 * * [simplify]: Extracting #1: cost 3 inf + 0 293.268 * * [simplify]: Extracting #2: cost 10 inf + 0 293.268 * * [simplify]: Extracting #3: cost 66 inf + 0 293.269 * * [simplify]: Extracting #4: cost 117 inf + 44 293.269 * * [simplify]: Extracting #5: cost 154 inf + 1064 293.270 * * [simplify]: Extracting #6: cost 223 inf + 2972 293.272 * * [simplify]: Extracting #7: cost 222 inf + 3629 293.278 * * [simplify]: Extracting #8: cost 139 inf + 22490 293.300 * * [simplify]: Extracting #9: cost 58 inf + 56294 293.330 * * [simplify]: Extracting #10: cost 5 inf + 93169 293.350 * * [simplify]: Extracting #11: cost 1 inf + 97469 293.381 * * [simplify]: Extracting #12: cost 0 inf + 99334 293.419 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 293.419 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 293.420 * * * * [progress]: [ 808 / 5906 ] simplifiying candidate # 293.421 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 293.421 * * [simplify]: iters left: 6 (52 enodes) 293.449 * * [simplify]: iters left: 5 (255 enodes) 293.507 * * [simplify]: Extracting #0: cost 1 inf + 0 293.507 * * [simplify]: Extracting #1: cost 3 inf + 0 293.507 * * [simplify]: Extracting #2: cost 10 inf + 0 293.507 * * [simplify]: Extracting #3: cost 74 inf + 0 293.508 * * [simplify]: Extracting #4: cost 137 inf + 1 293.508 * * [simplify]: Extracting #5: cost 189 inf + 248 293.509 * * [simplify]: Extracting #6: cost 262 inf + 1395 293.510 * * [simplify]: Extracting #7: cost 242 inf + 5801 293.515 * * [simplify]: Extracting #8: cost 154 inf + 24599 293.537 * * [simplify]: Extracting #9: cost 65 inf + 57406 293.574 * * [simplify]: Extracting #10: cost 8 inf + 108855 293.614 * * [simplify]: Extracting #11: cost 0 inf + 118935 293.638 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) 293.638 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 293.639 * * * * [progress]: [ 809 / 5906 ] simplifiying candidate # 293.639 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 293.639 * * [simplify]: iters left: 6 (47 enodes) 293.663 * * [simplify]: iters left: 5 (227 enodes) 293.737 * * [simplify]: Extracting #0: cost 1 inf + 0 293.738 * * [simplify]: Extracting #1: cost 3 inf + 0 293.738 * * [simplify]: Extracting #2: cost 10 inf + 0 293.738 * * [simplify]: Extracting #3: cost 65 inf + 0 293.738 * * [simplify]: Extracting #4: cost 116 inf + 86 293.738 * * [simplify]: Extracting #5: cost 149 inf + 1594 293.740 * * [simplify]: Extracting #6: cost 223 inf + 2932 293.741 * * [simplify]: Extracting #7: cost 219 inf + 4156 293.748 * * [simplify]: Extracting #8: cost 139 inf + 21723 293.767 * * [simplify]: Extracting #9: cost 56 inf + 58182 293.799 * * [simplify]: Extracting #10: cost 5 inf + 93249 293.839 * * [simplify]: Extracting #11: cost 1 inf + 97869 293.865 * * [simplify]: Extracting #12: cost 0 inf + 99734 293.891 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 293.891 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 293.892 * * * * [progress]: [ 810 / 5906 ] simplifiying candidate # 293.892 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 293.893 * * [simplify]: iters left: 6 (48 enodes) 293.915 * * [simplify]: iters left: 5 (230 enodes) 293.985 * * [simplify]: Extracting #0: cost 1 inf + 0 293.986 * * [simplify]: Extracting #1: cost 3 inf + 0 293.986 * * [simplify]: Extracting #2: cost 6 inf + 0 293.986 * * [simplify]: Extracting #3: cost 54 inf + 0 293.986 * * [simplify]: Extracting #4: cost 120 inf + 0 293.987 * * [simplify]: Extracting #5: cost 192 inf + 0 293.988 * * [simplify]: Extracting #6: cost 262 inf + 762 293.990 * * [simplify]: Extracting #7: cost 231 inf + 6547 293.993 * * [simplify]: Extracting #8: cost 138 inf + 25097 294.001 * * [simplify]: Extracting #9: cost 71 inf + 48676 294.027 * * [simplify]: Extracting #10: cost 17 inf + 92594 294.068 * * [simplify]: Extracting #11: cost 4 inf + 105008 294.113 * * [simplify]: Extracting #12: cost 0 inf + 109125 294.154 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 294.154 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 294.155 * * * * [progress]: [ 811 / 5906 ] simplifiying candidate # 294.156 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 294.156 * * [simplify]: iters left: 6 (49 enodes) 294.182 * * [simplify]: iters left: 5 (239 enodes) 294.281 * * [simplify]: Extracting #0: cost 1 inf + 0 294.281 * * [simplify]: Extracting #1: cost 3 inf + 0 294.281 * * [simplify]: Extracting #2: cost 6 inf + 0 294.282 * * [simplify]: Extracting #3: cost 58 inf + 0 294.282 * * [simplify]: Extracting #4: cost 143 inf + 0 294.283 * * [simplify]: Extracting #5: cost 205 inf + 85 294.286 * * [simplify]: Extracting #6: cost 236 inf + 5408 294.291 * * [simplify]: Extracting #7: cost 206 inf + 12451 294.298 * * [simplify]: Extracting #8: cost 156 inf + 20789 294.310 * * [simplify]: Extracting #9: cost 103 inf + 40370 294.331 * * [simplify]: Extracting #10: cost 52 inf + 62703 294.357 * * [simplify]: Extracting #11: cost 32 inf + 76062 294.377 * * [simplify]: Extracting #12: cost 2 inf + 108812 294.408 * * [simplify]: Extracting #13: cost 0 inf + 111822 294.431 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (+ phi2 phi1)) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 294.431 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (+ phi2 phi1)) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 294.431 * * * * [progress]: [ 812 / 5906 ] simplifiying candidate # 294.431 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 294.432 * * [simplify]: iters left: 6 (49 enodes) 294.447 * * [simplify]: iters left: 5 (239 enodes) 294.519 * * [simplify]: Extracting #0: cost 1 inf + 0 294.520 * * [simplify]: Extracting #1: cost 3 inf + 0 294.520 * * [simplify]: Extracting #2: cost 6 inf + 0 294.520 * * [simplify]: Extracting #3: cost 60 inf + 0 294.520 * * [simplify]: Extracting #4: cost 141 inf + 0 294.521 * * [simplify]: Extracting #5: cost 200 inf + 166 294.524 * * [simplify]: Extracting #6: cost 224 inf + 7382 294.530 * * [simplify]: Extracting #7: cost 199 inf + 12475 294.537 * * [simplify]: Extracting #8: cost 137 inf + 25098 294.548 * * [simplify]: Extracting #9: cost 79 inf + 43910 294.558 * * [simplify]: Extracting #10: cost 48 inf + 63755 294.580 * * [simplify]: Extracting #11: cost 2 inf + 106484 294.621 * * [simplify]: Extracting #12: cost 0 inf + 109494 294.642 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))))))) 294.642 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 294.643 * * * * [progress]: [ 813 / 5906 ] simplifiying candidate # 294.643 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 294.643 * * [simplify]: iters left: 6 (43 enodes) 294.655 * * [simplify]: iters left: 5 (203 enodes) 294.702 * * [simplify]: Extracting #0: cost 1 inf + 0 294.702 * * [simplify]: Extracting #1: cost 3 inf + 0 294.702 * * [simplify]: Extracting #2: cost 6 inf + 0 294.702 * * [simplify]: Extracting #3: cost 52 inf + 0 294.703 * * [simplify]: Extracting #4: cost 109 inf + 0 294.703 * * [simplify]: Extracting #5: cost 149 inf + 126 294.704 * * [simplify]: Extracting #6: cost 204 inf + 1517 294.705 * * [simplify]: Extracting #7: cost 195 inf + 3428 294.708 * * [simplify]: Extracting #8: cost 151 inf + 8954 294.715 * * [simplify]: Extracting #9: cost 102 inf + 25130 294.731 * * [simplify]: Extracting #10: cost 31 inf + 58679 294.754 * * [simplify]: Extracting #11: cost 6 inf + 78523 294.783 * * [simplify]: Extracting #12: cost 0 inf + 85993 294.811 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 294.811 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 294.812 * * * * [progress]: [ 814 / 5906 ] simplifiying candidate # 294.812 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 294.813 * * [simplify]: iters left: 6 (48 enodes) 294.834 * * [simplify]: iters left: 5 (231 enodes) 294.914 * * [simplify]: Extracting #0: cost 1 inf + 0 294.914 * * [simplify]: Extracting #1: cost 3 inf + 0 294.914 * * [simplify]: Extracting #2: cost 10 inf + 0 294.915 * * [simplify]: Extracting #3: cost 72 inf + 0 294.915 * * [simplify]: Extracting #4: cost 126 inf + 42 294.916 * * [simplify]: Extracting #5: cost 172 inf + 207 294.918 * * [simplify]: Extracting #6: cost 226 inf + 2245 294.920 * * [simplify]: Extracting #7: cost 212 inf + 6187 294.924 * * [simplify]: Extracting #8: cost 161 inf + 13777 294.932 * * [simplify]: Extracting #9: cost 94 inf + 36136 294.960 * * [simplify]: Extracting #10: cost 26 inf + 75977 294.999 * * [simplify]: Extracting #11: cost 2 inf + 101074 295.020 * * [simplify]: Extracting #12: cost 0 inf + 103884 295.047 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) 295.047 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 295.048 * * * * [progress]: [ 815 / 5906 ] simplifiying candidate # 295.049 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 295.049 * * [simplify]: iters left: 6 (43 enodes) 295.062 * * [simplify]: iters left: 5 (203 enodes) 295.102 * * [simplify]: Extracting #0: cost 1 inf + 0 295.102 * * [simplify]: Extracting #1: cost 3 inf + 0 295.102 * * [simplify]: Extracting #2: cost 10 inf + 0 295.103 * * [simplify]: Extracting #3: cost 64 inf + 0 295.103 * * [simplify]: Extracting #4: cost 106 inf + 86 295.103 * * [simplify]: Extracting #5: cost 135 inf + 986 295.104 * * [simplify]: Extracting #6: cost 192 inf + 2932 295.105 * * [simplify]: Extracting #7: cost 196 inf + 3221 295.108 * * [simplify]: Extracting #8: cost 117 inf + 20886 295.117 * * [simplify]: Extracting #9: cost 53 inf + 48385 295.132 * * [simplify]: Extracting #10: cost 8 inf + 80335 295.165 * * [simplify]: Extracting #11: cost 0 inf + 84203 295.198 * * [simplify]: Extracting #12: cost 0 inf + 83923 295.229 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))))))) 295.229 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 295.230 * * * * [progress]: [ 816 / 5906 ] simplifiying candidate # 295.230 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 295.230 * * [simplify]: iters left: 6 (48 enodes) 295.243 * * [simplify]: iters left: 5 (231 enodes) 295.302 * * [simplify]: Extracting #0: cost 1 inf + 0 295.302 * * [simplify]: Extracting #1: cost 3 inf + 0 295.302 * * [simplify]: Extracting #2: cost 10 inf + 0 295.302 * * [simplify]: Extracting #3: cost 72 inf + 0 295.303 * * [simplify]: Extracting #4: cost 126 inf + 42 295.303 * * [simplify]: Extracting #5: cost 171 inf + 249 295.304 * * [simplify]: Extracting #6: cost 224 inf + 2568 295.305 * * [simplify]: Extracting #7: cost 209 inf + 7044 295.311 * * [simplify]: Extracting #8: cost 163 inf + 13615 295.319 * * [simplify]: Extracting #9: cost 97 inf + 35061 295.335 * * [simplify]: Extracting #10: cost 26 inf + 76937 295.354 * * [simplify]: Extracting #11: cost 2 inf + 102034 295.388 * * [simplify]: Extracting #12: cost 0 inf + 104844 295.416 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) 295.416 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 295.416 * * * * [progress]: [ 817 / 5906 ] simplifiying candidate # 295.417 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 295.417 * * [simplify]: iters left: 6 (43 enodes) 295.428 * * [simplify]: iters left: 5 (203 enodes) 295.490 * * [simplify]: Extracting #0: cost 1 inf + 0 295.490 * * [simplify]: Extracting #1: cost 3 inf + 0 295.490 * * [simplify]: Extracting #2: cost 10 inf + 0 295.490 * * [simplify]: Extracting #3: cost 63 inf + 0 295.491 * * [simplify]: Extracting #4: cost 107 inf + 44 295.491 * * [simplify]: Extracting #5: cost 134 inf + 1228 295.492 * * [simplify]: Extracting #6: cost 192 inf + 2932 295.493 * * [simplify]: Extracting #7: cost 196 inf + 3221 295.496 * * [simplify]: Extracting #8: cost 117 inf + 20324 295.505 * * [simplify]: Extracting #9: cost 44 inf + 55101 295.532 * * [simplify]: Extracting #10: cost 8 inf + 81057 295.570 * * [simplify]: Extracting #11: cost 0 inf + 84803 295.603 * * [simplify]: Extracting #12: cost 0 inf + 84323 295.630 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))))))) 295.630 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 295.631 * * * * [progress]: [ 818 / 5906 ] simplifiying candidate # 295.631 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 295.631 * * [simplify]: iters left: 6 (51 enodes) 295.644 * * [simplify]: iters left: 5 (243 enodes) 295.732 * * [simplify]: Extracting #0: cost 1 inf + 0 295.732 * * [simplify]: Extracting #1: cost 3 inf + 0 295.732 * * [simplify]: Extracting #2: cost 6 inf + 0 295.732 * * [simplify]: Extracting #3: cost 56 inf + 0 295.733 * * [simplify]: Extracting #4: cost 130 inf + 0 295.734 * * [simplify]: Extracting #5: cost 207 inf + 0 295.735 * * [simplify]: Extracting #6: cost 271 inf + 1589 295.739 * * [simplify]: Extracting #7: cost 198 inf + 14396 295.749 * * [simplify]: Extracting #8: cost 126 inf + 36652 295.759 * * [simplify]: Extracting #9: cost 61 inf + 61101 295.778 * * [simplify]: Extracting #10: cost 8 inf + 111725 295.808 * * [simplify]: Extracting #11: cost 1 inf + 120820 295.845 * * [simplify]: Extracting #12: cost 0 inf + 122845 295.875 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 295.875 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 295.876 * * * * [progress]: [ 819 / 5906 ] simplifiying candidate # 295.877 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 295.878 * * [simplify]: iters left: 6 (52 enodes) 295.904 * * [simplify]: iters left: 5 (252 enodes) 296.005 * * [simplify]: Extracting #0: cost 1 inf + 0 296.005 * * [simplify]: Extracting #1: cost 3 inf + 0 296.005 * * [simplify]: Extracting #2: cost 6 inf + 0 296.005 * * [simplify]: Extracting #3: cost 60 inf + 0 296.005 * * [simplify]: Extracting #4: cost 153 inf + 0 296.006 * * [simplify]: Extracting #5: cost 221 inf + 44 296.007 * * [simplify]: Extracting #6: cost 244 inf + 5666 296.011 * * [simplify]: Extracting #7: cost 186 inf + 16396 296.017 * * [simplify]: Extracting #8: cost 132 inf + 36726 296.026 * * [simplify]: Extracting #9: cost 87 inf + 56537 296.039 * * [simplify]: Extracting #10: cost 50 inf + 70692 296.081 * * [simplify]: Extracting #11: cost 7 inf + 117447 296.107 * * [simplify]: Extracting #12: cost 1 inf + 124477 296.141 * * [simplify]: Extracting #13: cost 0 inf + 126622 296.178 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 296.179 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 296.179 * * * * [progress]: [ 820 / 5906 ] simplifiying candidate # 296.179 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 296.180 * * [simplify]: iters left: 6 (52 enodes) 296.194 * * [simplify]: iters left: 5 (252 enodes) 296.252 * * [simplify]: Extracting #0: cost 1 inf + 0 296.252 * * [simplify]: Extracting #1: cost 3 inf + 0 296.252 * * [simplify]: Extracting #2: cost 6 inf + 0 296.252 * * [simplify]: Extracting #3: cost 62 inf + 0 296.253 * * [simplify]: Extracting #4: cost 151 inf + 0 296.253 * * [simplify]: Extracting #5: cost 217 inf + 44 296.255 * * [simplify]: Extracting #6: cost 241 inf + 6303 296.259 * * [simplify]: Extracting #7: cost 180 inf + 18484 296.268 * * [simplify]: Extracting #8: cost 135 inf + 33925 296.281 * * [simplify]: Extracting #9: cost 86 inf + 55069 296.292 * * [simplify]: Extracting #10: cost 50 inf + 69844 296.317 * * [simplify]: Extracting #11: cost 8 inf + 112974 296.361 * * [simplify]: Extracting #12: cost 1 inf + 120869 296.388 * * [simplify]: Extracting #13: cost 0 inf + 122974 296.434 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1))))))) 296.435 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 296.436 * * * * [progress]: [ 821 / 5906 ] simplifiying candidate # 296.436 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 296.437 * * [simplify]: iters left: 6 (46 enodes) 296.460 * * [simplify]: iters left: 5 (216 enodes) 296.512 * * [simplify]: Extracting #0: cost 1 inf + 0 296.512 * * [simplify]: Extracting #1: cost 3 inf + 0 296.513 * * [simplify]: Extracting #2: cost 6 inf + 0 296.513 * * [simplify]: Extracting #3: cost 54 inf + 0 296.513 * * [simplify]: Extracting #4: cost 119 inf + 0 296.514 * * [simplify]: Extracting #5: cost 164 inf + 86 296.516 * * [simplify]: Extracting #6: cost 218 inf + 1763 296.518 * * [simplify]: Extracting #7: cost 194 inf + 5710 296.523 * * [simplify]: Extracting #8: cost 160 inf + 10859 296.536 * * [simplify]: Extracting #9: cost 105 inf + 32367 296.554 * * [simplify]: Extracting #10: cost 43 inf + 57478 296.585 * * [simplify]: Extracting #11: cost 9 inf + 90888 296.623 * * [simplify]: Extracting #12: cost 0 inf + 101273 296.662 * * [simplify]: Extracting #13: cost 0 inf + 100953 296.683 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))))) 296.684 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 296.684 * * * * [progress]: [ 822 / 5906 ] simplifiying candidate # 296.684 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 296.685 * * [simplify]: iters left: 6 (51 enodes) 296.714 * * [simplify]: iters left: 5 (244 enodes) 296.814 * * [simplify]: Extracting #0: cost 1 inf + 0 296.814 * * [simplify]: Extracting #1: cost 3 inf + 0 296.814 * * [simplify]: Extracting #2: cost 10 inf + 0 296.815 * * [simplify]: Extracting #3: cost 74 inf + 0 296.815 * * [simplify]: Extracting #4: cost 137 inf + 1 296.816 * * [simplify]: Extracting #5: cost 186 inf + 249 296.818 * * [simplify]: Extracting #6: cost 239 inf + 2213 296.822 * * [simplify]: Extracting #7: cost 184 inf + 12982 296.831 * * [simplify]: Extracting #8: cost 133 inf + 31323 296.841 * * [simplify]: Extracting #9: cost 94 inf + 45521 296.851 * * [simplify]: Extracting #10: cost 48 inf + 65324 296.881 * * [simplify]: Extracting #11: cost 8 inf + 104524 296.904 * * [simplify]: Extracting #12: cost 0 inf + 115044 296.940 * * [simplify]: Extracting #13: cost 0 inf + 114644 296.965 * * [simplify]: Extracting #14: cost 0 inf + 114604 297.001 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) 297.001 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 297.002 * * * * [progress]: [ 823 / 5906 ] simplifiying candidate # 297.002 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 297.003 * * [simplify]: iters left: 6 (46 enodes) 297.015 * * [simplify]: iters left: 5 (216 enodes) 297.084 * * [simplify]: Extracting #0: cost 1 inf + 0 297.085 * * [simplify]: Extracting #1: cost 3 inf + 0 297.085 * * [simplify]: Extracting #2: cost 10 inf + 0 297.085 * * [simplify]: Extracting #3: cost 66 inf + 0 297.085 * * [simplify]: Extracting #4: cost 117 inf + 44 297.089 * * [simplify]: Extracting #5: cost 154 inf + 618 297.091 * * [simplify]: Extracting #6: cost 209 inf + 2814 297.094 * * [simplify]: Extracting #7: cost 186 inf + 6321 297.101 * * [simplify]: Extracting #8: cost 113 inf + 26754 297.116 * * [simplify]: Extracting #9: cost 46 inf + 57523 297.134 * * [simplify]: Extracting #10: cost 3 inf + 91901 297.166 * * [simplify]: Extracting #11: cost 0 inf + 95683 297.187 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1))))))) 297.187 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 297.188 * * * * [progress]: [ 824 / 5906 ] simplifiying candidate # 297.188 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 297.188 * * [simplify]: iters left: 6 (51 enodes) 297.202 * * [simplify]: iters left: 5 (244 enodes) 297.274 * * [simplify]: Extracting #0: cost 1 inf + 0 297.274 * * [simplify]: Extracting #1: cost 3 inf + 0 297.274 * * [simplify]: Extracting #2: cost 10 inf + 0 297.274 * * [simplify]: Extracting #3: cost 74 inf + 0 297.275 * * [simplify]: Extracting #4: cost 137 inf + 1 297.276 * * [simplify]: Extracting #5: cost 187 inf + 207 297.277 * * [simplify]: Extracting #6: cost 241 inf + 2210 297.282 * * [simplify]: Extracting #7: cost 182 inf + 12945 297.292 * * [simplify]: Extracting #8: cost 133 inf + 31281 297.301 * * [simplify]: Extracting #9: cost 91 inf + 47354 297.314 * * [simplify]: Extracting #10: cost 49 inf + 65939 297.339 * * [simplify]: Extracting #11: cost 8 inf + 105484 297.372 * * [simplify]: Extracting #12: cost 0 inf + 116004 297.397 * * [simplify]: Extracting #13: cost 0 inf + 115604 297.435 * * [simplify]: Extracting #14: cost 0 inf + 115564 297.470 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 297.470 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 297.471 * * * * [progress]: [ 825 / 5906 ] simplifiying candidate # 297.471 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 297.472 * * [simplify]: iters left: 6 (46 enodes) 297.497 * * [simplify]: iters left: 5 (216 enodes) 297.566 * * [simplify]: Extracting #0: cost 1 inf + 0 297.566 * * [simplify]: Extracting #1: cost 3 inf + 0 297.566 * * [simplify]: Extracting #2: cost 10 inf + 0 297.567 * * [simplify]: Extracting #3: cost 65 inf + 0 297.567 * * [simplify]: Extracting #4: cost 117 inf + 44 297.568 * * [simplify]: Extracting #5: cost 151 inf + 904 297.570 * * [simplify]: Extracting #6: cost 208 inf + 2976 297.573 * * [simplify]: Extracting #7: cost 188 inf + 6119 297.583 * * [simplify]: Extracting #8: cost 112 inf + 28873 297.602 * * [simplify]: Extracting #9: cost 43 inf + 59891 297.616 * * [simplify]: Extracting #10: cost 17 inf + 79684 297.636 * * [simplify]: Extracting #11: cost 0 inf + 96203 297.656 * * [simplify]: Extracting #12: cost 0 inf + 96163 297.690 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 297.690 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 297.691 * * * * [progress]: [ 826 / 5906 ] simplifiying candidate # 297.692 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 297.693 * * [simplify]: iters left: 6 (50 enodes) 297.720 * * [simplify]: iters left: 5 (239 enodes) 297.788 * * [simplify]: Extracting #0: cost 1 inf + 0 297.789 * * [simplify]: Extracting #1: cost 3 inf + 0 297.789 * * [simplify]: Extracting #2: cost 6 inf + 0 297.789 * * [simplify]: Extracting #3: cost 57 inf + 0 297.789 * * [simplify]: Extracting #4: cost 128 inf + 0 297.789 * * [simplify]: Extracting #5: cost 198 inf + 0 297.790 * * [simplify]: Extracting #6: cost 268 inf + 3660 297.792 * * [simplify]: Extracting #7: cost 216 inf + 11656 297.799 * * [simplify]: Extracting #8: cost 159 inf + 20370 297.810 * * [simplify]: Extracting #9: cost 114 inf + 34572 297.824 * * [simplify]: Extracting #10: cost 61 inf + 58397 297.844 * * [simplify]: Extracting #11: cost 10 inf + 104832 297.887 * * [simplify]: Extracting #12: cost 1 inf + 114937 297.915 * * [simplify]: Extracting #13: cost 0 inf + 116762 297.938 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 297.938 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 297.938 * * * * [progress]: [ 827 / 5906 ] simplifiying candidate # 297.939 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 297.939 * * [simplify]: iters left: 6 (51 enodes) 297.958 * * [simplify]: iters left: 5 (248 enodes) 298.059 * * [simplify]: Extracting #0: cost 1 inf + 0 298.059 * * [simplify]: Extracting #1: cost 3 inf + 0 298.060 * * [simplify]: Extracting #2: cost 6 inf + 0 298.060 * * [simplify]: Extracting #3: cost 61 inf + 0 298.060 * * [simplify]: Extracting #4: cost 151 inf + 0 298.061 * * [simplify]: Extracting #5: cost 211 inf + 86 298.063 * * [simplify]: Extracting #6: cost 257 inf + 3468 298.068 * * [simplify]: Extracting #7: cost 223 inf + 10742 298.075 * * [simplify]: Extracting #8: cost 160 inf + 22482 298.092 * * [simplify]: Extracting #9: cost 104 inf + 43252 298.125 * * [simplify]: Extracting #10: cost 13 inf + 102894 298.147 * * [simplify]: Extracting #11: cost 1 inf + 114914 298.190 * * [simplify]: Extracting #12: cost 0 inf + 116739 298.219 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 298.219 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 298.220 * * * * [progress]: [ 828 / 5906 ] simplifiying candidate # 298.220 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 298.220 * * [simplify]: iters left: 6 (51 enodes) 298.236 * * [simplify]: iters left: 5 (248 enodes) 298.337 * * [simplify]: Extracting #0: cost 1 inf + 0 298.337 * * [simplify]: Extracting #1: cost 3 inf + 0 298.337 * * [simplify]: Extracting #2: cost 6 inf + 0 298.337 * * [simplify]: Extracting #3: cost 63 inf + 0 298.338 * * [simplify]: Extracting #4: cost 149 inf + 0 298.339 * * [simplify]: Extracting #5: cost 208 inf + 44 298.341 * * [simplify]: Extracting #6: cost 254 inf + 3708 298.346 * * [simplify]: Extracting #7: cost 212 inf + 12826 298.354 * * [simplify]: Extracting #8: cost 148 inf + 25300 298.364 * * [simplify]: Extracting #9: cost 103 inf + 44078 298.374 * * [simplify]: Extracting #10: cost 57 inf + 63906 298.396 * * [simplify]: Extracting #11: cost 19 inf + 95576 298.422 * * [simplify]: Extracting #12: cost 1 inf + 113906 298.455 * * [simplify]: Extracting #13: cost 0 inf + 115771 298.487 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 298.487 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 298.487 * * * * [progress]: [ 829 / 5906 ] simplifiying candidate # 298.488 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 298.488 * * [simplify]: iters left: 6 (45 enodes) 298.499 * * [simplify]: iters left: 5 (212 enodes) 298.560 * * [simplify]: Extracting #0: cost 1 inf + 0 298.561 * * [simplify]: Extracting #1: cost 3 inf + 0 298.561 * * [simplify]: Extracting #2: cost 6 inf + 0 298.561 * * [simplify]: Extracting #3: cost 55 inf + 0 298.561 * * [simplify]: Extracting #4: cost 117 inf + 0 298.561 * * [simplify]: Extracting #5: cost 155 inf + 85 298.562 * * [simplify]: Extracting #6: cost 217 inf + 1032 298.563 * * [simplify]: Extracting #7: cost 211 inf + 2538 298.565 * * [simplify]: Extracting #8: cost 161 inf + 9958 298.574 * * [simplify]: Extracting #9: cost 83 inf + 43194 298.590 * * [simplify]: Extracting #10: cost 10 inf + 86915 298.622 * * [simplify]: Extracting #11: cost 0 inf + 94750 298.660 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) 298.661 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 298.662 * * * * [progress]: [ 830 / 5906 ] simplifiying candidate # 298.662 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 298.663 * * [simplify]: iters left: 6 (50 enodes) 298.683 * * [simplify]: iters left: 5 (240 enodes) 298.757 * * [simplify]: Extracting #0: cost 1 inf + 0 298.757 * * [simplify]: Extracting #1: cost 3 inf + 0 298.757 * * [simplify]: Extracting #2: cost 10 inf + 0 298.757 * * [simplify]: Extracting #3: cost 75 inf + 0 298.758 * * [simplify]: Extracting #4: cost 142 inf + 1 298.759 * * [simplify]: Extracting #5: cost 185 inf + 207 298.761 * * [simplify]: Extracting #6: cost 245 inf + 2363 298.764 * * [simplify]: Extracting #7: cost 210 inf + 9026 298.771 * * [simplify]: Extracting #8: cost 140 inf + 25955 298.787 * * [simplify]: Extracting #9: cost 81 inf + 50148 298.819 * * [simplify]: Extracting #10: cost 16 inf + 99757 298.846 * * [simplify]: Extracting #11: cost 1 inf + 113871 298.877 * * [simplify]: Extracting #12: cost 0 inf + 115536 298.904 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))))))) 298.904 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 298.905 * * * * [progress]: [ 831 / 5906 ] simplifiying candidate # 298.906 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 298.906 * * [simplify]: iters left: 6 (45 enodes) 298.921 * * [simplify]: iters left: 5 (212 enodes) 298.977 * * [simplify]: Extracting #0: cost 1 inf + 0 298.977 * * [simplify]: Extracting #1: cost 3 inf + 0 298.977 * * [simplify]: Extracting #2: cost 10 inf + 0 298.978 * * [simplify]: Extracting #3: cost 67 inf + 0 298.978 * * [simplify]: Extracting #4: cost 123 inf + 2 298.978 * * [simplify]: Extracting #5: cost 152 inf + 698 298.979 * * [simplify]: Extracting #6: cost 211 inf + 2932 298.981 * * [simplify]: Extracting #7: cost 214 inf + 3302 298.982 * * [simplify]: Extracting #8: cost 177 inf + 8016 298.986 * * [simplify]: Extracting #9: cost 119 inf + 25465 298.996 * * [simplify]: Extracting #10: cost 35 inf + 64090 299.023 * * [simplify]: Extracting #11: cost 1 inf + 93990 299.060 * * [simplify]: Extracting #12: cost 0 inf + 95575 299.084 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))))) 299.084 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 299.085 * * * * [progress]: [ 832 / 5906 ] simplifiying candidate # 299.085 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 299.086 * * [simplify]: iters left: 6 (50 enodes) 299.112 * * [simplify]: iters left: 5 (240 enodes) 299.174 * * [simplify]: Extracting #0: cost 1 inf + 0 299.174 * * [simplify]: Extracting #1: cost 3 inf + 0 299.174 * * [simplify]: Extracting #2: cost 10 inf + 0 299.174 * * [simplify]: Extracting #3: cost 75 inf + 0 299.174 * * [simplify]: Extracting #4: cost 142 inf + 1 299.175 * * [simplify]: Extracting #5: cost 185 inf + 207 299.176 * * [simplify]: Extracting #6: cost 247 inf + 1799 299.177 * * [simplify]: Extracting #7: cost 216 inf + 7775 299.183 * * [simplify]: Extracting #8: cost 132 inf + 30738 299.208 * * [simplify]: Extracting #9: cost 31 inf + 90341 299.250 * * [simplify]: Extracting #10: cost 2 inf + 113707 299.289 * * [simplify]: Extracting #11: cost 0 inf + 114056 299.312 * * [simplify]: Extracting #12: cost 0 inf + 113776 299.344 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) 299.344 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 299.345 * * * * [progress]: [ 833 / 5906 ] simplifiying candidate # 299.345 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 299.346 * * [simplify]: iters left: 6 (45 enodes) 299.361 * * [simplify]: iters left: 5 (212 enodes) 299.413 * * [simplify]: Extracting #0: cost 1 inf + 0 299.413 * * [simplify]: Extracting #1: cost 3 inf + 0 299.413 * * [simplify]: Extracting #2: cost 10 inf + 0 299.414 * * [simplify]: Extracting #3: cost 66 inf + 0 299.414 * * [simplify]: Extracting #4: cost 123 inf + 2 299.415 * * [simplify]: Extracting #5: cost 155 inf + 333 299.417 * * [simplify]: Extracting #6: cost 216 inf + 2082 299.419 * * [simplify]: Extracting #7: cost 212 inf + 3426 299.423 * * [simplify]: Extracting #8: cost 179 inf + 7692 299.430 * * [simplify]: Extracting #9: cost 122 inf + 24171 299.447 * * [simplify]: Extracting #10: cost 36 inf + 63725 299.464 * * [simplify]: Extracting #11: cost 1 inf + 94390 299.495 * * [simplify]: Extracting #12: cost 0 inf + 95975 299.526 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 299.526 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 299.527 * * * * [progress]: [ 834 / 5906 ] simplifiying candidate # 299.527 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 299.527 * * [simplify]: iters left: 6 (51 enodes) 299.540 * * [simplify]: iters left: 5 (244 enodes) 299.635 * * [simplify]: Extracting #0: cost 1 inf + 0 299.635 * * [simplify]: Extracting #1: cost 3 inf + 0 299.635 * * [simplify]: Extracting #2: cost 6 inf + 0 299.635 * * [simplify]: Extracting #3: cost 56 inf + 0 299.636 * * [simplify]: Extracting #4: cost 130 inf + 0 299.637 * * [simplify]: Extracting #5: cost 207 inf + 0 299.638 * * [simplify]: Extracting #6: cost 268 inf + 2004 299.643 * * [simplify]: Extracting #7: cost 188 inf + 20488 299.654 * * [simplify]: Extracting #8: cost 115 inf + 45560 299.664 * * [simplify]: Extracting #9: cost 65 inf + 59572 299.677 * * [simplify]: Extracting #10: cost 32 inf + 82605 299.702 * * [simplify]: Extracting #11: cost 2 inf + 118795 299.747 * * [simplify]: Extracting #12: cost 0 inf + 121765 299.774 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))))) 299.774 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 299.774 * * * * [progress]: [ 835 / 5906 ] simplifiying candidate # 299.775 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 299.775 * * [simplify]: iters left: 6 (52 enodes) 299.796 * * [simplify]: iters left: 5 (253 enodes) 299.902 * * [simplify]: Extracting #0: cost 1 inf + 0 299.902 * * [simplify]: Extracting #1: cost 3 inf + 0 299.902 * * [simplify]: Extracting #2: cost 6 inf + 0 299.903 * * [simplify]: Extracting #3: cost 60 inf + 0 299.903 * * [simplify]: Extracting #4: cost 153 inf + 0 299.904 * * [simplify]: Extracting #5: cost 221 inf + 44 299.907 * * [simplify]: Extracting #6: cost 246 inf + 6064 299.913 * * [simplify]: Extracting #7: cost 190 inf + 15024 299.925 * * [simplify]: Extracting #8: cost 136 inf + 35524 299.943 * * [simplify]: Extracting #9: cost 83 inf + 56952 299.969 * * [simplify]: Extracting #10: cost 52 inf + 69562 299.989 * * [simplify]: Extracting #11: cost 5 inf + 119177 300.034 * * [simplify]: Extracting #12: cost 1 inf + 123597 300.060 * * [simplify]: Extracting #13: cost 0 inf + 125702 300.100 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))) 300.100 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 300.101 * * * * [progress]: [ 836 / 5906 ] simplifiying candidate # 300.101 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 300.102 * * [simplify]: iters left: 6 (52 enodes) 300.125 * * [simplify]: iters left: 5 (253 enodes) 300.192 * * [simplify]: Extracting #0: cost 1 inf + 0 300.192 * * [simplify]: Extracting #1: cost 3 inf + 0 300.192 * * [simplify]: Extracting #2: cost 6 inf + 0 300.193 * * [simplify]: Extracting #3: cost 62 inf + 0 300.193 * * [simplify]: Extracting #4: cost 151 inf + 0 300.193 * * [simplify]: Extracting #5: cost 217 inf + 44 300.194 * * [simplify]: Extracting #6: cost 257 inf + 3315 300.200 * * [simplify]: Extracting #7: cost 190 inf + 14378 300.206 * * [simplify]: Extracting #8: cost 132 inf + 36929 300.218 * * [simplify]: Extracting #9: cost 92 inf + 53043 300.229 * * [simplify]: Extracting #10: cost 53 inf + 67649 300.248 * * [simplify]: Extracting #11: cost 7 inf + 113199 300.291 * * [simplify]: Extracting #12: cost 1 inf + 121189 300.324 * * [simplify]: Extracting #13: cost 0 inf + 123294 300.350 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1))))))) 300.350 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 300.351 * * * * [progress]: [ 837 / 5906 ] simplifiying candidate # 300.351 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 300.351 * * [simplify]: iters left: 6 (46 enodes) 300.369 * * [simplify]: iters left: 5 (217 enodes) 300.447 * * [simplify]: Extracting #0: cost 1 inf + 0 300.447 * * [simplify]: Extracting #1: cost 3 inf + 0 300.447 * * [simplify]: Extracting #2: cost 6 inf + 0 300.447 * * [simplify]: Extracting #3: cost 54 inf + 0 300.448 * * [simplify]: Extracting #4: cost 119 inf + 0 300.448 * * [simplify]: Extracting #5: cost 166 inf + 2 300.449 * * [simplify]: Extracting #6: cost 227 inf + 785 300.450 * * [simplify]: Extracting #7: cost 205 inf + 3643 300.453 * * [simplify]: Extracting #8: cost 148 inf + 20544 300.460 * * [simplify]: Extracting #9: cost 95 inf + 39630 300.475 * * [simplify]: Extracting #10: cost 45 inf + 56896 300.493 * * [simplify]: Extracting #11: cost 11 inf + 87678 300.518 * * [simplify]: Extracting #12: cost 0 inf + 100153 300.555 * * [simplify]: Extracting #13: cost 0 inf + 100113 300.583 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))))))) 300.583 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 300.584 * * * * [progress]: [ 838 / 5906 ] simplifiying candidate # 300.584 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 300.585 * * [simplify]: iters left: 6 (51 enodes) 300.611 * * [simplify]: iters left: 5 (245 enodes) 300.706 * * [simplify]: Extracting #0: cost 1 inf + 0 300.706 * * [simplify]: Extracting #1: cost 3 inf + 0 300.706 * * [simplify]: Extracting #2: cost 10 inf + 0 300.707 * * [simplify]: Extracting #3: cost 74 inf + 0 300.707 * * [simplify]: Extracting #4: cost 137 inf + 1 300.708 * * [simplify]: Extracting #5: cost 186 inf + 249 300.713 * * [simplify]: Extracting #6: cost 236 inf + 2538 300.718 * * [simplify]: Extracting #7: cost 187 inf + 11655 300.728 * * [simplify]: Extracting #8: cost 116 inf + 35153 300.748 * * [simplify]: Extracting #9: cost 57 inf + 60179 300.780 * * [simplify]: Extracting #10: cost 18 inf + 95234 300.826 * * [simplify]: Extracting #11: cost 1 inf + 113219 300.868 * * [simplify]: Extracting #12: cost 0 inf + 114884 300.893 * * [simplify]: Extracting #13: cost 0 inf + 114844 300.935 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) 300.935 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 300.936 * * * * [progress]: [ 839 / 5906 ] simplifiying candidate # 300.936 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 300.937 * * [simplify]: iters left: 6 (46 enodes) 300.961 * * [simplify]: iters left: 5 (217 enodes) 301.033 * * [simplify]: Extracting #0: cost 1 inf + 0 301.033 * * [simplify]: Extracting #1: cost 3 inf + 0 301.033 * * [simplify]: Extracting #2: cost 10 inf + 0 301.034 * * [simplify]: Extracting #3: cost 66 inf + 0 301.034 * * [simplify]: Extracting #4: cost 117 inf + 44 301.034 * * [simplify]: Extracting #5: cost 154 inf + 618 301.035 * * [simplify]: Extracting #6: cost 208 inf + 2855 301.037 * * [simplify]: Extracting #7: cost 187 inf + 6197 301.040 * * [simplify]: Extracting #8: cost 136 inf + 21765 301.049 * * [simplify]: Extracting #9: cost 83 inf + 41905 301.068 * * [simplify]: Extracting #10: cost 39 inf + 58841 301.099 * * [simplify]: Extracting #11: cost 8 inf + 89243 301.137 * * [simplify]: Extracting #12: cost 0 inf + 96963 301.172 * * [simplify]: Extracting #13: cost 0 inf + 96803 301.194 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 301.194 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 301.195 * * * * [progress]: [ 840 / 5906 ] simplifiying candidate # 301.195 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 301.195 * * [simplify]: iters left: 6 (51 enodes) 301.218 * * [simplify]: iters left: 5 (245 enodes) 301.292 * * [simplify]: Extracting #0: cost 1 inf + 0 301.292 * * [simplify]: Extracting #1: cost 3 inf + 0 301.292 * * [simplify]: Extracting #2: cost 10 inf + 0 301.292 * * [simplify]: Extracting #3: cost 74 inf + 0 301.292 * * [simplify]: Extracting #4: cost 137 inf + 1 301.293 * * [simplify]: Extracting #5: cost 187 inf + 207 301.294 * * [simplify]: Extracting #6: cost 239 inf + 2493 301.296 * * [simplify]: Extracting #7: cost 181 inf + 13346 301.302 * * [simplify]: Extracting #8: cost 115 inf + 36737 301.312 * * [simplify]: Extracting #9: cost 57 inf + 62019 301.334 * * [simplify]: Extracting #10: cost 18 inf + 96114 301.358 * * [simplify]: Extracting #11: cost 1 inf + 114099 301.403 * * [simplify]: Extracting #12: cost 0 inf + 115764 301.451 * * [simplify]: Extracting #13: cost 0 inf + 115724 301.490 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) 301.491 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 301.491 * * * * [progress]: [ 841 / 5906 ] simplifiying candidate # 301.492 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 301.492 * * [simplify]: iters left: 6 (46 enodes) 301.504 * * [simplify]: iters left: 5 (217 enodes) 301.577 * * [simplify]: Extracting #0: cost 1 inf + 0 301.577 * * [simplify]: Extracting #1: cost 3 inf + 0 301.577 * * [simplify]: Extracting #2: cost 10 inf + 0 301.578 * * [simplify]: Extracting #3: cost 65 inf + 0 301.578 * * [simplify]: Extracting #4: cost 117 inf + 44 301.578 * * [simplify]: Extracting #5: cost 147 inf + 1472 301.579 * * [simplify]: Extracting #6: cost 207 inf + 3017 301.581 * * [simplify]: Extracting #7: cost 188 inf + 6155 301.584 * * [simplify]: Extracting #8: cost 135 inf + 21765 301.591 * * [simplify]: Extracting #9: cost 82 inf + 42829 301.601 * * [simplify]: Extracting #10: cost 39 inf + 59241 301.622 * * [simplify]: Extracting #11: cost 8 inf + 89643 301.649 * * [simplify]: Extracting #12: cost 0 inf + 97363 301.669 * * [simplify]: Extracting #13: cost 0 inf + 97203 301.709 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 301.709 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 301.710 * * * * [progress]: [ 842 / 5906 ] simplifiying candidate # 301.710 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 301.711 * * [simplify]: iters left: 6 (52 enodes) 301.739 * * [simplify]: iters left: 5 (254 enodes) 301.828 * * [simplify]: Extracting #0: cost 1 inf + 0 301.828 * * [simplify]: Extracting #1: cost 3 inf + 0 301.828 * * [simplify]: Extracting #2: cost 6 inf + 0 301.828 * * [simplify]: Extracting #3: cost 56 inf + 0 301.828 * * [simplify]: Extracting #4: cost 130 inf + 0 301.829 * * [simplify]: Extracting #5: cost 210 inf + 0 301.830 * * [simplify]: Extracting #6: cost 302 inf + 971 301.832 * * [simplify]: Extracting #7: cost 244 inf + 12350 301.841 * * [simplify]: Extracting #8: cost 158 inf + 34538 301.860 * * [simplify]: Extracting #9: cost 94 inf + 58117 301.875 * * [simplify]: Extracting #10: cost 49 inf + 76285 301.895 * * [simplify]: Extracting #11: cost 13 inf + 115305 301.938 * * [simplify]: Extracting #12: cost 1 inf + 130045 301.963 * * [simplify]: Extracting #13: cost 0 inf + 132110 302.007 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- lambda1 lambda2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 302.007 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- lambda1 lambda2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 302.008 * * * * [progress]: [ 843 / 5906 ] simplifiying candidate # 302.008 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 302.008 * * [simplify]: iters left: 6 (53 enodes) 302.022 * * [simplify]: iters left: 5 (263 enodes) 302.083 * * [simplify]: Extracting #0: cost 1 inf + 0 302.083 * * [simplify]: Extracting #1: cost 3 inf + 0 302.083 * * [simplify]: Extracting #2: cost 6 inf + 0 302.084 * * [simplify]: Extracting #3: cost 60 inf + 0 302.084 * * [simplify]: Extracting #4: cost 153 inf + 0 302.085 * * [simplify]: Extracting #5: cost 224 inf + 44 302.088 * * [simplify]: Extracting #6: cost 282 inf + 4405 302.093 * * [simplify]: Extracting #7: cost 243 inf + 12495 302.104 * * [simplify]: Extracting #8: cost 149 inf + 38932 302.127 * * [simplify]: Extracting #9: cost 61 inf + 75268 302.174 * * [simplify]: Extracting #10: cost 8 inf + 127167 302.225 * * [simplify]: Extracting #11: cost 0 inf + 136607 302.277 * * [simplify]: Extracting #12: cost 0 inf + 136447 302.328 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 302.328 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 302.329 * * * * [progress]: [ 844 / 5906 ] simplifiying candidate # 302.329 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 302.330 * * [simplify]: iters left: 6 (53 enodes) 302.359 * * [simplify]: iters left: 5 (263 enodes) 302.446 * * [simplify]: Extracting #0: cost 1 inf + 0 302.446 * * [simplify]: Extracting #1: cost 3 inf + 0 302.446 * * [simplify]: Extracting #2: cost 6 inf + 0 302.446 * * [simplify]: Extracting #3: cost 62 inf + 0 302.446 * * [simplify]: Extracting #4: cost 151 inf + 0 302.448 * * [simplify]: Extracting #5: cost 220 inf + 44 302.451 * * [simplify]: Extracting #6: cost 278 inf + 4163 302.458 * * [simplify]: Extracting #7: cost 228 inf + 16493 302.467 * * [simplify]: Extracting #8: cost 149 inf + 37121 302.479 * * [simplify]: Extracting #9: cost 62 inf + 71653 302.497 * * [simplify]: Extracting #10: cost 45 inf + 82914 302.538 * * [simplify]: Extracting #11: cost 8 inf + 121519 302.589 * * [simplify]: Extracting #12: cost 0 inf + 131479 302.625 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 302.625 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 302.626 * * * * [progress]: [ 845 / 5906 ] simplifiying candidate # 302.626 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 302.626 * * [simplify]: iters left: 6 (47 enodes) 302.640 * * [simplify]: iters left: 5 (227 enodes) 302.733 * * [simplify]: Extracting #0: cost 1 inf + 0 302.733 * * [simplify]: Extracting #1: cost 3 inf + 0 302.733 * * [simplify]: Extracting #2: cost 6 inf + 0 302.733 * * [simplify]: Extracting #3: cost 54 inf + 0 302.734 * * [simplify]: Extracting #4: cost 119 inf + 0 302.735 * * [simplify]: Extracting #5: cost 168 inf + 44 302.736 * * [simplify]: Extracting #6: cost 247 inf + 1277 302.742 * * [simplify]: Extracting #7: cost 229 inf + 5100 302.750 * * [simplify]: Extracting #8: cost 145 inf + 23610 302.764 * * [simplify]: Extracting #9: cost 80 inf + 45715 302.778 * * [simplify]: Extracting #10: cost 32 inf + 74377 302.802 * * [simplify]: Extracting #11: cost 4 inf + 102598 302.840 * * [simplify]: Extracting #12: cost 1 inf + 107433 302.869 * * [simplify]: Extracting #13: cost 0 inf + 109298 302.896 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) 302.896 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 302.896 * * * * [progress]: [ 846 / 5906 ] simplifiying candidate # 302.897 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 302.897 * * [simplify]: iters left: 6 (52 enodes) 302.911 * * [simplify]: iters left: 5 (255 enodes) 302.986 * * [simplify]: Extracting #0: cost 1 inf + 0 302.986 * * [simplify]: Extracting #1: cost 3 inf + 0 302.986 * * [simplify]: Extracting #2: cost 10 inf + 0 302.986 * * [simplify]: Extracting #3: cost 74 inf + 0 302.986 * * [simplify]: Extracting #4: cost 137 inf + 1 302.987 * * [simplify]: Extracting #5: cost 189 inf + 248 302.987 * * [simplify]: Extracting #6: cost 270 inf + 1685 302.989 * * [simplify]: Extracting #7: cost 231 inf + 10462 302.993 * * [simplify]: Extracting #8: cost 178 inf + 20426 302.998 * * [simplify]: Extracting #9: cost 129 inf + 34496 303.008 * * [simplify]: Extracting #10: cost 66 inf + 62469 303.029 * * [simplify]: Extracting #11: cost 15 inf + 108534 303.065 * * [simplify]: Extracting #12: cost 1 inf + 123604 303.105 * * [simplify]: Extracting #13: cost 0 inf + 125669 303.135 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) 303.136 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 303.137 * * * * [progress]: [ 847 / 5906 ] simplifiying candidate # 303.137 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 303.138 * * [simplify]: iters left: 6 (47 enodes) 303.161 * * [simplify]: iters left: 5 (227 enodes) 303.232 * * [simplify]: Extracting #0: cost 1 inf + 0 303.232 * * [simplify]: Extracting #1: cost 3 inf + 0 303.232 * * [simplify]: Extracting #2: cost 10 inf + 0 303.232 * * [simplify]: Extracting #3: cost 66 inf + 0 303.233 * * [simplify]: Extracting #4: cost 117 inf + 44 303.234 * * [simplify]: Extracting #5: cost 153 inf + 1186 303.236 * * [simplify]: Extracting #6: cost 235 inf + 2974 303.239 * * [simplify]: Extracting #7: cost 221 inf + 5991 303.246 * * [simplify]: Extracting #8: cost 127 inf + 26820 303.255 * * [simplify]: Extracting #9: cost 56 inf + 56545 303.270 * * [simplify]: Extracting #10: cost 11 inf + 91073 303.305 * * [simplify]: Extracting #11: cost 1 inf + 102563 303.347 * * [simplify]: Extracting #12: cost 0 inf + 104348 303.391 * * [simplify]: Extracting #13: cost 0 inf + 104268 303.431 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))) 303.432 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 303.433 * * * * [progress]: [ 848 / 5906 ] simplifiying candidate # 303.433 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 303.434 * * [simplify]: iters left: 6 (52 enodes) 303.460 * * [simplify]: iters left: 5 (255 enodes) 303.535 * * [simplify]: Extracting #0: cost 1 inf + 0 303.536 * * [simplify]: Extracting #1: cost 3 inf + 0 303.536 * * [simplify]: Extracting #2: cost 10 inf + 0 303.536 * * [simplify]: Extracting #3: cost 74 inf + 0 303.536 * * [simplify]: Extracting #4: cost 137 inf + 1 303.537 * * [simplify]: Extracting #5: cost 189 inf + 248 303.538 * * [simplify]: Extracting #6: cost 272 inf + 1442 303.540 * * [simplify]: Extracting #7: cost 231 inf + 10502 303.543 * * [simplify]: Extracting #8: cost 178 inf + 20858 303.548 * * [simplify]: Extracting #9: cost 129 inf + 34616 303.558 * * [simplify]: Extracting #10: cost 65 inf + 63694 303.593 * * [simplify]: Extracting #11: cost 15 inf + 109494 303.620 * * [simplify]: Extracting #12: cost 1 inf + 124564 303.666 * * [simplify]: Extracting #13: cost 0 inf + 126629 303.696 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) 303.696 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 303.696 * * * * [progress]: [ 849 / 5906 ] simplifiying candidate # 303.697 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 303.697 * * [simplify]: iters left: 6 (47 enodes) 303.709 * * [simplify]: iters left: 5 (227 enodes) 303.760 * * [simplify]: Extracting #0: cost 1 inf + 0 303.760 * * [simplify]: Extracting #1: cost 3 inf + 0 303.760 * * [simplify]: Extracting #2: cost 10 inf + 0 303.760 * * [simplify]: Extracting #3: cost 65 inf + 0 303.761 * * [simplify]: Extracting #4: cost 117 inf + 44 303.761 * * [simplify]: Extracting #5: cost 157 inf + 618 303.762 * * [simplify]: Extracting #6: cost 236 inf + 2772 303.763 * * [simplify]: Extracting #7: cost 219 inf + 6074 303.767 * * [simplify]: Extracting #8: cost 130 inf + 26091 303.777 * * [simplify]: Extracting #9: cost 56 inf + 57166 303.797 * * [simplify]: Extracting #10: cost 11 inf + 91633 303.839 * * [simplify]: Extracting #11: cost 1 inf + 103123 303.879 * * [simplify]: Extracting #12: cost 0 inf + 104908 303.919 * * [simplify]: Extracting #13: cost 0 inf + 104828 303.960 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))) 303.960 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 303.961 * * * * [progress]: [ 850 / 5906 ] simplifiying candidate # 303.961 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 303.962 * * [simplify]: iters left: 6 (48 enodes) 303.986 * * [simplify]: iters left: 5 (226 enodes) 304.083 * * [simplify]: Extracting #0: cost 1 inf + 0 304.083 * * [simplify]: Extracting #1: cost 3 inf + 0 304.083 * * [simplify]: Extracting #2: cost 6 inf + 0 304.083 * * [simplify]: Extracting #3: cost 48 inf + 0 304.084 * * [simplify]: Extracting #4: cost 112 inf + 0 304.084 * * [simplify]: Extracting #5: cost 180 inf + 0 304.086 * * [simplify]: Extracting #6: cost 245 inf + 799 304.089 * * [simplify]: Extracting #7: cost 207 inf + 6775 304.096 * * [simplify]: Extracting #8: cost 117 inf + 26074 304.105 * * [simplify]: Extracting #9: cost 51 inf + 53171 304.122 * * [simplify]: Extracting #10: cost 4 inf + 101576 304.150 * * [simplify]: Extracting #11: cost 0 inf + 105956 304.170 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 304.170 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 304.171 * * * * [progress]: [ 851 / 5906 ] simplifiying candidate # 304.171 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 304.172 * * [simplify]: iters left: 6 (49 enodes) 304.197 * * [simplify]: iters left: 5 (235 enodes) 304.273 * * [simplify]: Extracting #0: cost 1 inf + 0 304.273 * * [simplify]: Extracting #1: cost 3 inf + 0 304.273 * * [simplify]: Extracting #2: cost 6 inf + 0 304.273 * * [simplify]: Extracting #3: cost 52 inf + 0 304.273 * * [simplify]: Extracting #4: cost 135 inf + 0 304.274 * * [simplify]: Extracting #5: cost 193 inf + 85 304.275 * * [simplify]: Extracting #6: cost 228 inf + 3797 304.277 * * [simplify]: Extracting #7: cost 181 inf + 13607 304.282 * * [simplify]: Extracting #8: cost 118 inf + 28752 304.290 * * [simplify]: Extracting #9: cost 57 inf + 52702 304.314 * * [simplify]: Extracting #10: cost 12 inf + 93934 304.335 * * [simplify]: Extracting #11: cost 0 inf + 107173 304.365 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ phi2 phi1) (- phi1 phi2)))))) 304.365 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ phi2 phi1) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 304.366 * * * * [progress]: [ 852 / 5906 ] simplifiying candidate # 304.366 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 304.366 * * [simplify]: iters left: 6 (49 enodes) 304.380 * * [simplify]: iters left: 5 (235 enodes) 304.444 * * [simplify]: Extracting #0: cost 1 inf + 0 304.444 * * [simplify]: Extracting #1: cost 3 inf + 0 304.444 * * [simplify]: Extracting #2: cost 6 inf + 0 304.444 * * [simplify]: Extracting #3: cost 54 inf + 0 304.444 * * [simplify]: Extracting #4: cost 133 inf + 0 304.445 * * [simplify]: Extracting #5: cost 188 inf + 166 304.446 * * [simplify]: Extracting #6: cost 219 inf + 4886 304.451 * * [simplify]: Extracting #7: cost 181 inf + 13899 304.455 * * [simplify]: Extracting #8: cost 122 inf + 24720 304.468 * * [simplify]: Extracting #9: cost 78 inf + 40497 304.490 * * [simplify]: Extracting #10: cost 24 inf + 84402 304.511 * * [simplify]: Extracting #11: cost 1 inf + 104361 304.538 * * [simplify]: Extracting #12: cost 0 inf + 105125 304.573 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 304.573 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 304.573 * * * * [progress]: [ 853 / 5906 ] simplifiying candidate # 304.574 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 304.574 * * [simplify]: iters left: 6 (43 enodes) 304.587 * * [simplify]: iters left: 5 (198 enodes) 304.647 * * [simplify]: Extracting #0: cost 1 inf + 0 304.647 * * [simplify]: Extracting #1: cost 3 inf + 0 304.647 * * [simplify]: Extracting #2: cost 6 inf + 0 304.647 * * [simplify]: Extracting #3: cost 46 inf + 0 304.647 * * [simplify]: Extracting #4: cost 101 inf + 0 304.648 * * [simplify]: Extracting #5: cost 137 inf + 126 304.649 * * [simplify]: Extracting #6: cost 193 inf + 1153 304.651 * * [simplify]: Extracting #7: cost 174 inf + 4655 304.656 * * [simplify]: Extracting #8: cost 125 inf + 15402 304.667 * * [simplify]: Extracting #9: cost 78 inf + 35011 304.685 * * [simplify]: Extracting #10: cost 29 inf + 53992 304.712 * * [simplify]: Extracting #11: cost 7 inf + 73409 304.743 * * [simplify]: Extracting #12: cost 0 inf + 82064 304.762 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 304.762 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 304.762 * * * * [progress]: [ 854 / 5906 ] simplifiying candidate # 304.763 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 304.763 * * [simplify]: iters left: 6 (48 enodes) 304.775 * * [simplify]: iters left: 5 (226 enodes) 304.836 * * [simplify]: Extracting #0: cost 1 inf + 0 304.836 * * [simplify]: Extracting #1: cost 3 inf + 0 304.836 * * [simplify]: Extracting #2: cost 10 inf + 0 304.836 * * [simplify]: Extracting #3: cost 62 inf + 0 304.837 * * [simplify]: Extracting #4: cost 115 inf + 42 304.837 * * [simplify]: Extracting #5: cost 157 inf + 207 304.839 * * [simplify]: Extracting #6: cost 209 inf + 2448 304.842 * * [simplify]: Extracting #7: cost 179 inf + 8422 304.847 * * [simplify]: Extracting #8: cost 129 inf + 19046 304.856 * * [simplify]: Extracting #9: cost 84 inf + 34525 304.872 * * [simplify]: Extracting #10: cost 36 inf + 58620 304.888 * * [simplify]: Extracting #11: cost 6 inf + 87490 304.915 * * [simplify]: Extracting #12: cost 0 inf + 94640 304.936 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 304.936 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 304.937 * * * * [progress]: [ 855 / 5906 ] simplifiying candidate # 304.937 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 304.937 * * [simplify]: iters left: 6 (43 enodes) 304.948 * * [simplify]: iters left: 5 (198 enodes) 304.985 * * [simplify]: Extracting #0: cost 1 inf + 0 304.985 * * [simplify]: Extracting #1: cost 3 inf + 0 304.985 * * [simplify]: Extracting #2: cost 10 inf + 0 304.985 * * [simplify]: Extracting #3: cost 54 inf + 0 304.986 * * [simplify]: Extracting #4: cost 96 inf + 44 304.986 * * [simplify]: Extracting #5: cost 123 inf + 861 304.987 * * [simplify]: Extracting #6: cost 175 inf + 2934 304.988 * * [simplify]: Extracting #7: cost 170 inf + 4653 304.991 * * [simplify]: Extracting #8: cost 103 inf + 19068 304.998 * * [simplify]: Extracting #9: cost 47 inf + 42231 305.013 * * [simplify]: Extracting #10: cost 9 inf + 68952 305.028 * * [simplify]: Extracting #11: cost 0 inf + 77079 305.044 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 305.044 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 305.045 * * * * [progress]: [ 856 / 5906 ] simplifiying candidate # 305.045 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 305.046 * * [simplify]: iters left: 6 (48 enodes) 305.069 * * [simplify]: iters left: 5 (226 enodes) 305.130 * * [simplify]: Extracting #0: cost 1 inf + 0 305.130 * * [simplify]: Extracting #1: cost 3 inf + 0 305.130 * * [simplify]: Extracting #2: cost 10 inf + 0 305.130 * * [simplify]: Extracting #3: cost 62 inf + 0 305.131 * * [simplify]: Extracting #4: cost 115 inf + 42 305.131 * * [simplify]: Extracting #5: cost 155 inf + 290 305.134 * * [simplify]: Extracting #6: cost 201 inf + 4061 305.137 * * [simplify]: Extracting #7: cost 178 inf + 8653 305.143 * * [simplify]: Extracting #8: cost 128 inf + 19258 305.154 * * [simplify]: Extracting #9: cost 86 inf + 33916 305.172 * * [simplify]: Extracting #10: cost 35 inf + 60325 305.189 * * [simplify]: Extracting #11: cost 6 inf + 88290 305.209 * * [simplify]: Extracting #12: cost 0 inf + 95440 305.232 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 305.232 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 305.232 * * * * [progress]: [ 857 / 5906 ] simplifiying candidate # 305.233 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 305.233 * * [simplify]: iters left: 6 (43 enodes) 305.246 * * [simplify]: iters left: 5 (198 enodes) 305.299 * * [simplify]: Extracting #0: cost 1 inf + 0 305.299 * * [simplify]: Extracting #1: cost 3 inf + 0 305.299 * * [simplify]: Extracting #2: cost 10 inf + 0 305.299 * * [simplify]: Extracting #3: cost 53 inf + 0 305.300 * * [simplify]: Extracting #4: cost 96 inf + 44 305.300 * * [simplify]: Extracting #5: cost 123 inf + 901 305.301 * * [simplify]: Extracting #6: cost 175 inf + 2974 305.302 * * [simplify]: Extracting #7: cost 170 inf + 4653 305.305 * * [simplify]: Extracting #8: cost 92 inf + 23919 305.317 * * [simplify]: Extracting #9: cost 41 inf + 45179 305.341 * * [simplify]: Extracting #10: cost 6 inf + 72715 305.356 * * [simplify]: Extracting #11: cost 0 inf + 78999 305.373 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (* (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 305.373 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (* (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 305.374 * * * * [progress]: [ 858 / 5906 ] simplifiying candidate # 305.374 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 305.375 * * [simplify]: iters left: 6 (52 enodes) 305.399 * * [simplify]: iters left: 5 (249 enodes) 305.458 * * [simplify]: Extracting #0: cost 1 inf + 0 305.458 * * [simplify]: Extracting #1: cost 3 inf + 0 305.458 * * [simplify]: Extracting #2: cost 6 inf + 0 305.458 * * [simplify]: Extracting #3: cost 53 inf + 0 305.459 * * [simplify]: Extracting #4: cost 118 inf + 0 305.459 * * [simplify]: Extracting #5: cost 183 inf + 0 305.460 * * [simplify]: Extracting #6: cost 263 inf + 131 305.461 * * [simplify]: Extracting #7: cost 227 inf + 5804 305.465 * * [simplify]: Extracting #8: cost 139 inf + 25639 305.472 * * [simplify]: Extracting #9: cost 86 inf + 44608 305.482 * * [simplify]: Extracting #10: cost 49 inf + 59423 305.503 * * [simplify]: Extracting #11: cost 6 inf + 101898 305.525 * * [simplify]: Extracting #12: cost 1 inf + 107823 305.565 * * [simplify]: Extracting #13: cost 0 inf + 109648 305.599 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))))) 305.599 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 305.600 * * * * [progress]: [ 859 / 5906 ] simplifiying candidate # 305.600 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 305.601 * * [simplify]: iters left: 6 (53 enodes) 305.621 * * [simplify]: iters left: 5 (258 enodes) 305.729 * * [simplify]: Extracting #0: cost 1 inf + 0 305.729 * * [simplify]: Extracting #1: cost 3 inf + 0 305.729 * * [simplify]: Extracting #2: cost 6 inf + 0 305.729 * * [simplify]: Extracting #3: cost 55 inf + 0 305.730 * * [simplify]: Extracting #4: cost 139 inf + 0 305.731 * * [simplify]: Extracting #5: cost 195 inf + 44 305.733 * * [simplify]: Extracting #6: cost 237 inf + 4205 305.738 * * [simplify]: Extracting #7: cost 195 inf + 12690 305.748 * * [simplify]: Extracting #8: cost 135 inf + 29408 305.764 * * [simplify]: Extracting #9: cost 83 inf + 49089 305.777 * * [simplify]: Extracting #10: cost 46 inf + 63886 305.795 * * [simplify]: Extracting #11: cost 6 inf + 103166 305.825 * * [simplify]: Extracting #12: cost 0 inf + 112396 305.847 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 305.848 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 305.848 * * * * [progress]: [ 860 / 5906 ] simplifiying candidate # 305.848 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 305.849 * * [simplify]: iters left: 6 (53 enodes) 305.872 * * [simplify]: iters left: 5 (258 enodes) 305.944 * * [simplify]: Extracting #0: cost 1 inf + 0 305.944 * * [simplify]: Extracting #1: cost 3 inf + 0 305.944 * * [simplify]: Extracting #2: cost 6 inf + 0 305.944 * * [simplify]: Extracting #3: cost 57 inf + 0 305.945 * * [simplify]: Extracting #4: cost 137 inf + 0 305.946 * * [simplify]: Extracting #5: cost 191 inf + 44 305.948 * * [simplify]: Extracting #6: cost 222 inf + 6624 305.954 * * [simplify]: Extracting #7: cost 187 inf + 14491 305.964 * * [simplify]: Extracting #8: cost 123 inf + 31018 305.983 * * [simplify]: Extracting #9: cost 56 inf + 57748 306.007 * * [simplify]: Extracting #10: cost 33 inf + 73163 306.035 * * [simplify]: Extracting #11: cost 6 inf + 103358 306.068 * * [simplify]: Extracting #12: cost 0 inf + 111708 306.091 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 306.091 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 306.091 * * * * [progress]: [ 861 / 5906 ] simplifiying candidate # 306.091 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 306.092 * * [simplify]: iters left: 6 (47 enodes) 306.107 * * [simplify]: iters left: 5 (221 enodes) 306.193 * * [simplify]: Extracting #0: cost 1 inf + 0 306.193 * * [simplify]: Extracting #1: cost 3 inf + 0 306.193 * * [simplify]: Extracting #2: cost 6 inf + 0 306.194 * * [simplify]: Extracting #3: cost 50 inf + 0 306.194 * * [simplify]: Extracting #4: cost 107 inf + 0 306.195 * * [simplify]: Extracting #5: cost 141 inf + 44 306.196 * * [simplify]: Extracting #6: cost 203 inf + 1196 306.199 * * [simplify]: Extracting #7: cost 183 inf + 5223 306.205 * * [simplify]: Extracting #8: cost 124 inf + 17476 306.218 * * [simplify]: Extracting #9: cost 66 inf + 40048 306.245 * * [simplify]: Extracting #10: cost 14 inf + 76859 306.278 * * [simplify]: Extracting #11: cost 0 inf + 90293 306.296 * * [simplify]: Extracting #12: cost 0 inf + 90253 306.327 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) 306.327 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 306.328 * * * * [progress]: [ 862 / 5906 ] simplifiying candidate # 306.329 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 306.329 * * [simplify]: iters left: 6 (52 enodes) 306.356 * * [simplify]: iters left: 5 (249 enodes) 306.409 * * [simplify]: Extracting #0: cost 1 inf + 0 306.409 * * [simplify]: Extracting #1: cost 3 inf + 0 306.409 * * [simplify]: Extracting #2: cost 10 inf + 0 306.409 * * [simplify]: Extracting #3: cost 66 inf + 0 306.409 * * [simplify]: Extracting #4: cost 126 inf + 1 306.410 * * [simplify]: Extracting #5: cost 164 inf + 207 306.413 * * [simplify]: Extracting #6: cost 226 inf + 2246 306.417 * * [simplify]: Extracting #7: cost 201 inf + 8286 306.425 * * [simplify]: Extracting #8: cost 131 inf + 27136 306.431 * * [simplify]: Extracting #9: cost 95 inf + 39349 306.441 * * [simplify]: Extracting #10: cost 47 inf + 59217 306.452 * * [simplify]: Extracting #11: cost 30 inf + 70682 306.471 * * [simplify]: Extracting #12: cost 4 inf + 100412 306.511 * * [simplify]: Extracting #13: cost 1 inf + 105127 306.555 * * [simplify]: Extracting #14: cost 0 inf + 106992 306.591 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) 306.591 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 306.592 * * * * [progress]: [ 863 / 5906 ] simplifiying candidate # 306.592 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 306.592 * * [simplify]: iters left: 6 (47 enodes) 306.612 * * [simplify]: iters left: 5 (222 enodes) 306.666 * * [simplify]: Extracting #0: cost 1 inf + 0 306.666 * * [simplify]: Extracting #1: cost 3 inf + 0 306.666 * * [simplify]: Extracting #2: cost 10 inf + 0 306.667 * * [simplify]: Extracting #3: cost 57 inf + 0 306.667 * * [simplify]: Extracting #4: cost 105 inf + 44 306.668 * * [simplify]: Extracting #5: cost 127 inf + 1306 306.670 * * [simplify]: Extracting #6: cost 191 inf + 3096 306.673 * * [simplify]: Extracting #7: cost 188 inf + 4569 306.677 * * [simplify]: Extracting #8: cost 143 inf + 11298 306.686 * * [simplify]: Extracting #9: cost 100 inf + 26809 306.702 * * [simplify]: Extracting #10: cost 41 inf + 50537 306.722 * * [simplify]: Extracting #11: cost 23 inf + 62614 306.749 * * [simplify]: Extracting #12: cost 4 inf + 81769 306.781 * * [simplify]: Extracting #13: cost 1 inf + 86444 306.798 * * [simplify]: Extracting #14: cost 0 inf + 88029 306.821 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) 306.821 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 306.822 * * * * [progress]: [ 864 / 5906 ] simplifiying candidate # 306.822 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 306.823 * * [simplify]: iters left: 6 (52 enodes) 306.850 * * [simplify]: iters left: 5 (249 enodes) 306.932 * * [simplify]: Extracting #0: cost 1 inf + 0 306.932 * * [simplify]: Extracting #1: cost 3 inf + 0 306.932 * * [simplify]: Extracting #2: cost 10 inf + 0 306.932 * * [simplify]: Extracting #3: cost 66 inf + 0 306.933 * * [simplify]: Extracting #4: cost 126 inf + 1 306.933 * * [simplify]: Extracting #5: cost 164 inf + 207 306.934 * * [simplify]: Extracting #6: cost 229 inf + 1641 306.936 * * [simplify]: Extracting #7: cost 200 inf + 8708 306.941 * * [simplify]: Extracting #8: cost 132 inf + 26601 306.948 * * [simplify]: Extracting #9: cost 95 inf + 40029 306.958 * * [simplify]: Extracting #10: cost 47 inf + 60017 306.981 * * [simplify]: Extracting #11: cost 30 inf + 71482 307.003 * * [simplify]: Extracting #12: cost 4 inf + 101932 307.024 * * [simplify]: Extracting #13: cost 1 inf + 105927 307.054 * * [simplify]: Extracting #14: cost 0 inf + 107792 307.095 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) 307.095 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 307.096 * * * * [progress]: [ 865 / 5906 ] simplifiying candidate # 307.096 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 307.097 * * [simplify]: iters left: 6 (47 enodes) 307.112 * * [simplify]: iters left: 5 (222 enodes) 307.172 * * [simplify]: Extracting #0: cost 1 inf + 0 307.172 * * [simplify]: Extracting #1: cost 3 inf + 0 307.172 * * [simplify]: Extracting #2: cost 10 inf + 0 307.172 * * [simplify]: Extracting #3: cost 56 inf + 0 307.172 * * [simplify]: Extracting #4: cost 104 inf + 86 307.173 * * [simplify]: Extracting #5: cost 121 inf + 1998 307.174 * * [simplify]: Extracting #6: cost 191 inf + 2976 307.175 * * [simplify]: Extracting #7: cost 188 inf + 4569 307.177 * * [simplify]: Extracting #8: cost 143 inf + 11458 307.182 * * [simplify]: Extracting #9: cost 96 inf + 28827 307.191 * * [simplify]: Extracting #10: cost 41 inf + 50857 307.205 * * [simplify]: Extracting #11: cost 23 inf + 62934 307.233 * * [simplify]: Extracting #12: cost 4 inf + 82089 307.264 * * [simplify]: Extracting #13: cost 1 inf + 86764 307.297 * * [simplify]: Extracting #14: cost 0 inf + 88349 307.330 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) 307.331 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 307.331 * * * * [progress]: [ 866 / 5906 ] simplifiying candidate # 307.332 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 307.332 * * [simplify]: iters left: 6 (52 enodes) 307.358 * * [simplify]: iters left: 5 (253 enodes) 307.457 * * [simplify]: Extracting #0: cost 1 inf + 0 307.457 * * [simplify]: Extracting #1: cost 3 inf + 0 307.457 * * [simplify]: Extracting #2: cost 6 inf + 0 307.457 * * [simplify]: Extracting #3: cost 56 inf + 0 307.457 * * [simplify]: Extracting #4: cost 130 inf + 0 307.458 * * [simplify]: Extracting #5: cost 210 inf + 0 307.459 * * [simplify]: Extracting #6: cost 284 inf + 971 307.461 * * [simplify]: Extracting #7: cost 227 inf + 11137 307.468 * * [simplify]: Extracting #8: cost 127 inf + 36362 307.487 * * [simplify]: Extracting #9: cost 65 inf + 58302 307.519 * * [simplify]: Extracting #10: cost 9 inf + 113713 307.548 * * [simplify]: Extracting #11: cost 1 inf + 123029 307.579 * * [simplify]: Extracting #12: cost 0 inf + 124934 307.624 * * [simplify]: Extracting #13: cost 0 inf + 124894 307.665 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))) (- lambda1 lambda2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) 307.665 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))) (- lambda1 lambda2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 307.665 * * * * [progress]: [ 867 / 5906 ] simplifiying candidate # 307.666 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 307.666 * * [simplify]: iters left: 6 (53 enodes) 307.679 * * [simplify]: iters left: 5 (262 enodes) 307.776 * * [simplify]: Extracting #0: cost 1 inf + 0 307.776 * * [simplify]: Extracting #1: cost 3 inf + 0 307.776 * * [simplify]: Extracting #2: cost 6 inf + 0 307.776 * * [simplify]: Extracting #3: cost 60 inf + 0 307.777 * * [simplify]: Extracting #4: cost 153 inf + 0 307.778 * * [simplify]: Extracting #5: cost 224 inf + 44 307.781 * * [simplify]: Extracting #6: cost 258 inf + 5297 307.787 * * [simplify]: Extracting #7: cost 201 inf + 15969 307.796 * * [simplify]: Extracting #8: cost 164 inf + 24434 307.811 * * [simplify]: Extracting #9: cost 104 inf + 48682 307.838 * * [simplify]: Extracting #10: cost 36 inf + 81251 307.883 * * [simplify]: Extracting #11: cost 2 inf + 121381 307.930 * * [simplify]: Extracting #12: cost 0 inf + 124671 307.958 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 307.958 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 307.959 * * * * [progress]: [ 868 / 5906 ] simplifiying candidate # 307.959 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 307.960 * * [simplify]: iters left: 6 (53 enodes) 307.973 * * [simplify]: iters left: 5 (262 enodes) 308.053 * * [simplify]: Extracting #0: cost 1 inf + 0 308.053 * * [simplify]: Extracting #1: cost 3 inf + 0 308.053 * * [simplify]: Extracting #2: cost 6 inf + 0 308.053 * * [simplify]: Extracting #3: cost 62 inf + 0 308.054 * * [simplify]: Extracting #4: cost 151 inf + 0 308.054 * * [simplify]: Extracting #5: cost 221 inf + 2 308.056 * * [simplify]: Extracting #6: cost 255 inf + 5978 308.059 * * [simplify]: Extracting #7: cost 199 inf + 17773 308.065 * * [simplify]: Extracting #8: cost 139 inf + 35494 308.075 * * [simplify]: Extracting #9: cost 93 inf + 56193 308.099 * * [simplify]: Extracting #10: cost 42 inf + 75933 308.137 * * [simplify]: Extracting #11: cost 9 inf + 111558 308.169 * * [simplify]: Extracting #12: cost 0 inf + 122383 308.193 * * [simplify]: Extracting #13: cost 0 inf + 122343 308.218 * [simplify]: Simplified to (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 308.218 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 308.218 * * * * [progress]: [ 869 / 5906 ] simplifiying candidate # 308.219 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 308.219 * * [simplify]: iters left: 6 (47 enodes) 308.237 * * [simplify]: iters left: 5 (226 enodes) 308.323 * * [simplify]: Extracting #0: cost 1 inf + 0 308.323 * * [simplify]: Extracting #1: cost 3 inf + 0 308.323 * * [simplify]: Extracting #2: cost 6 inf + 0 308.324 * * [simplify]: Extracting #3: cost 54 inf + 0 308.324 * * [simplify]: Extracting #4: cost 119 inf + 0 308.325 * * [simplify]: Extracting #5: cost 168 inf + 44 308.327 * * [simplify]: Extracting #6: cost 228 inf + 1480 308.330 * * [simplify]: Extracting #7: cost 206 inf + 5104 308.337 * * [simplify]: Extracting #8: cost 142 inf + 18387 308.356 * * [simplify]: Extracting #9: cost 66 inf + 48487 308.387 * * [simplify]: Extracting #10: cost 8 inf + 90535 308.407 * * [simplify]: Extracting #11: cost 1 inf + 97977 308.437 * * [simplify]: Extracting #12: cost 0 inf + 99842 308.475 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 308.475 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 308.476 * * * * [progress]: [ 870 / 5906 ] simplifiying candidate # 308.477 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 308.477 * * [simplify]: iters left: 6 (52 enodes) 308.505 * * [simplify]: iters left: 5 (254 enodes) 308.605 * * [simplify]: Extracting #0: cost 1 inf + 0 308.605 * * [simplify]: Extracting #1: cost 3 inf + 0 308.605 * * [simplify]: Extracting #2: cost 10 inf + 0 308.605 * * [simplify]: Extracting #3: cost 74 inf + 0 308.606 * * [simplify]: Extracting #4: cost 137 inf + 1 308.607 * * [simplify]: Extracting #5: cost 190 inf + 207 308.608 * * [simplify]: Extracting #6: cost 245 inf + 3099 308.613 * * [simplify]: Extracting #7: cost 205 inf + 11294 308.624 * * [simplify]: Extracting #8: cost 111 inf + 39610 308.650 * * [simplify]: Extracting #9: cost 52 inf + 66294 308.672 * * [simplify]: Extracting #10: cost 9 inf + 108468 308.712 * * [simplify]: Extracting #11: cost 1 inf + 118668 308.742 * * [simplify]: Extracting #12: cost 0 inf + 120853 308.783 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (* (* lambda1 lambda1) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))))) 308.783 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (* (* lambda1 lambda1) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 308.784 * * * * [progress]: [ 871 / 5906 ] simplifiying candidate # 308.785 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 308.785 * * [simplify]: iters left: 6 (47 enodes) 308.808 * * [simplify]: iters left: 5 (226 enodes) 308.865 * * [simplify]: Extracting #0: cost 1 inf + 0 308.865 * * [simplify]: Extracting #1: cost 3 inf + 0 308.866 * * [simplify]: Extracting #2: cost 10 inf + 0 308.866 * * [simplify]: Extracting #3: cost 66 inf + 0 308.866 * * [simplify]: Extracting #4: cost 117 inf + 44 308.866 * * [simplify]: Extracting #5: cost 154 inf + 1064 308.868 * * [simplify]: Extracting #6: cost 218 inf + 2974 308.869 * * [simplify]: Extracting #7: cost 187 inf + 7660 308.874 * * [simplify]: Extracting #8: cost 112 inf + 32033 308.889 * * [simplify]: Extracting #9: cost 53 inf + 55446 308.919 * * [simplify]: Extracting #10: cost 5 inf + 88367 308.956 * * [simplify]: Extracting #11: cost 0 inf + 96092 308.976 * * [simplify]: Extracting #12: cost 0 inf + 95732 309.005 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 309.005 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 309.006 * * * * [progress]: [ 872 / 5906 ] simplifiying candidate # 309.006 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 309.007 * * [simplify]: iters left: 6 (52 enodes) 309.033 * * [simplify]: iters left: 5 (254 enodes) 309.762 * * [simplify]: Extracting #0: cost 1 inf + 0 309.763 * * [simplify]: Extracting #1: cost 3 inf + 0 309.763 * * [simplify]: Extracting #2: cost 10 inf + 0 309.763 * * [simplify]: Extracting #3: cost 74 inf + 0 309.763 * * [simplify]: Extracting #4: cost 137 inf + 1 309.764 * * [simplify]: Extracting #5: cost 190 inf + 207 309.766 * * [simplify]: Extracting #6: cost 244 inf + 3540 309.771 * * [simplify]: Extracting #7: cost 202 inf + 12029 309.783 * * [simplify]: Extracting #8: cost 110 inf + 40342 309.804 * * [simplify]: Extracting #9: cost 53 inf + 66829 309.838 * * [simplify]: Extracting #10: cost 9 inf + 109428 309.864 * * [simplify]: Extracting #11: cost 1 inf + 119628 309.912 * * [simplify]: Extracting #12: cost 0 inf + 121813 309.949 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (* (* lambda1 lambda1) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))))) 309.949 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (* (* lambda1 lambda1) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 309.950 * * * * [progress]: [ 873 / 5906 ] simplifiying candidate # 309.950 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 309.950 * * [simplify]: iters left: 6 (47 enodes) 309.964 * * [simplify]: iters left: 5 (226 enodes) 310.026 * * [simplify]: Extracting #0: cost 1 inf + 0 310.027 * * [simplify]: Extracting #1: cost 3 inf + 0 310.027 * * [simplify]: Extracting #2: cost 10 inf + 0 310.027 * * [simplify]: Extracting #3: cost 65 inf + 0 310.027 * * [simplify]: Extracting #4: cost 116 inf + 86 310.028 * * [simplify]: Extracting #5: cost 151 inf + 1350 310.030 * * [simplify]: Extracting #6: cost 218 inf + 2934 310.034 * * [simplify]: Extracting #7: cost 186 inf + 8669 310.044 * * [simplify]: Extracting #8: cost 115 inf + 31223 310.062 * * [simplify]: Extracting #9: cost 60 inf + 52751 310.094 * * [simplify]: Extracting #10: cost 9 inf + 87066 310.122 * * [simplify]: Extracting #11: cost 0 inf + 96492 310.144 * * [simplify]: Extracting #12: cost 0 inf + 96132 310.179 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 310.179 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 310.179 * * * * [progress]: [ 874 / 5906 ] simplifiying candidate # 310.180 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 310.180 * * [simplify]: iters left: 6 (51 enodes) 310.193 * * [simplify]: iters left: 5 (243 enodes) 310.255 * * [simplify]: Extracting #0: cost 1 inf + 0 310.255 * * [simplify]: Extracting #1: cost 3 inf + 0 310.255 * * [simplify]: Extracting #2: cost 6 inf + 0 310.255 * * [simplify]: Extracting #3: cost 56 inf + 0 310.256 * * [simplify]: Extracting #4: cost 130 inf + 0 310.256 * * [simplify]: Extracting #5: cost 207 inf + 0 310.257 * * [simplify]: Extracting #6: cost 270 inf + 1491 310.259 * * [simplify]: Extracting #7: cost 199 inf + 14136 310.264 * * [simplify]: Extracting #8: cost 121 inf + 38732 310.274 * * [simplify]: Extracting #9: cost 59 inf + 63031 310.295 * * [simplify]: Extracting #10: cost 8 inf + 111485 310.319 * * [simplify]: Extracting #11: cost 1 inf + 120740 310.351 * * [simplify]: Extracting #12: cost 0 inf + 122765 310.375 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 310.375 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 310.375 * * * * [progress]: [ 875 / 5906 ] simplifiying candidate # 310.376 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 310.376 * * [simplify]: iters left: 6 (52 enodes) 310.389 * * [simplify]: iters left: 5 (252 enodes) 310.443 * * [simplify]: Extracting #0: cost 1 inf + 0 310.444 * * [simplify]: Extracting #1: cost 3 inf + 0 310.444 * * [simplify]: Extracting #2: cost 6 inf + 0 310.444 * * [simplify]: Extracting #3: cost 60 inf + 0 310.444 * * [simplify]: Extracting #4: cost 153 inf + 0 310.445 * * [simplify]: Extracting #5: cost 221 inf + 44 310.446 * * [simplify]: Extracting #6: cost 244 inf + 5666 310.449 * * [simplify]: Extracting #7: cost 188 inf + 16070 310.455 * * [simplify]: Extracting #8: cost 133 inf + 36443 310.464 * * [simplify]: Extracting #9: cost 85 inf + 57990 310.478 * * [simplify]: Extracting #10: cost 50 inf + 71012 310.499 * * [simplify]: Extracting #11: cost 7 inf + 117367 310.534 * * [simplify]: Extracting #12: cost 1 inf + 124677 310.567 * * [simplify]: Extracting #13: cost 0 inf + 126822 310.597 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 310.597 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 310.598 * * * * [progress]: [ 876 / 5906 ] simplifiying candidate # 310.599 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 310.599 * * [simplify]: iters left: 6 (52 enodes) 310.623 * * [simplify]: iters left: 5 (252 enodes) 310.702 * * [simplify]: Extracting #0: cost 1 inf + 0 310.702 * * [simplify]: Extracting #1: cost 3 inf + 0 310.702 * * [simplify]: Extracting #2: cost 6 inf + 0 310.702 * * [simplify]: Extracting #3: cost 62 inf + 0 310.705 * * [simplify]: Extracting #4: cost 151 inf + 0 310.705 * * [simplify]: Extracting #5: cost 217 inf + 44 310.707 * * [simplify]: Extracting #6: cost 242 inf + 6221 310.710 * * [simplify]: Extracting #7: cost 183 inf + 16870 310.717 * * [simplify]: Extracting #8: cost 134 inf + 34868 310.729 * * [simplify]: Extracting #9: cost 91 inf + 54048 310.751 * * [simplify]: Extracting #10: cost 51 inf + 70139 310.789 * * [simplify]: Extracting #11: cost 7 inf + 114079 310.835 * * [simplify]: Extracting #12: cost 1 inf + 120989 310.882 * * [simplify]: Extracting #13: cost 0 inf + 123094 310.906 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 310.906 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 310.907 * * * * [progress]: [ 877 / 5906 ] simplifiying candidate # 310.908 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 310.908 * * [simplify]: iters left: 6 (46 enodes) 310.931 * * [simplify]: iters left: 5 (216 enodes) 311.014 * * [simplify]: Extracting #0: cost 1 inf + 0 311.014 * * [simplify]: Extracting #1: cost 3 inf + 0 311.014 * * [simplify]: Extracting #2: cost 6 inf + 0 311.014 * * [simplify]: Extracting #3: cost 54 inf + 0 311.015 * * [simplify]: Extracting #4: cost 119 inf + 0 311.015 * * [simplify]: Extracting #5: cost 164 inf + 86 311.016 * * [simplify]: Extracting #6: cost 221 inf + 1235 311.017 * * [simplify]: Extracting #7: cost 208 inf + 3478 311.021 * * [simplify]: Extracting #8: cost 139 inf + 19847 311.029 * * [simplify]: Extracting #9: cost 55 inf + 54065 311.053 * * [simplify]: Extracting #10: cost 9 inf + 91008 311.073 * * [simplify]: Extracting #11: cost 0 inf + 101153 311.101 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1)))))) 311.101 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 311.102 * * * * [progress]: [ 878 / 5906 ] simplifiying candidate # 311.102 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 311.102 * * [simplify]: iters left: 6 (51 enodes) 311.117 * * [simplify]: iters left: 5 (244 enodes) 311.182 * * [simplify]: Extracting #0: cost 1 inf + 0 311.182 * * [simplify]: Extracting #1: cost 3 inf + 0 311.182 * * [simplify]: Extracting #2: cost 10 inf + 0 311.183 * * [simplify]: Extracting #3: cost 74 inf + 0 311.183 * * [simplify]: Extracting #4: cost 137 inf + 1 311.184 * * [simplify]: Extracting #5: cost 186 inf + 249 311.186 * * [simplify]: Extracting #6: cost 240 inf + 2091 311.190 * * [simplify]: Extracting #7: cost 189 inf + 11088 311.200 * * [simplify]: Extracting #8: cost 134 inf + 31060 311.209 * * [simplify]: Extracting #9: cost 101 inf + 43290 311.219 * * [simplify]: Extracting #10: cost 57 inf + 60059 311.242 * * [simplify]: Extracting #11: cost 17 inf + 96499 311.284 * * [simplify]: Extracting #12: cost 1 inf + 116819 311.332 * * [simplify]: Extracting #13: cost 0 inf + 118884 311.380 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) 311.380 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 311.381 * * * * [progress]: [ 879 / 5906 ] simplifiying candidate # 311.382 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 311.382 * * [simplify]: iters left: 6 (46 enodes) 311.407 * * [simplify]: iters left: 5 (216 enodes) 311.461 * * [simplify]: Extracting #0: cost 1 inf + 0 311.461 * * [simplify]: Extracting #1: cost 3 inf + 0 311.461 * * [simplify]: Extracting #2: cost 10 inf + 0 311.461 * * [simplify]: Extracting #3: cost 66 inf + 0 311.461 * * [simplify]: Extracting #4: cost 117 inf + 44 311.462 * * [simplify]: Extracting #5: cost 154 inf + 618 311.463 * * [simplify]: Extracting #6: cost 209 inf + 2814 311.464 * * [simplify]: Extracting #7: cost 189 inf + 5791 311.468 * * [simplify]: Extracting #8: cost 117 inf + 23936 311.476 * * [simplify]: Extracting #9: cost 61 inf + 48475 311.496 * * [simplify]: Extracting #10: cost 12 inf + 84849 311.536 * * [simplify]: Extracting #11: cost 0 inf + 97083 311.556 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 311.556 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 311.556 * * * * [progress]: [ 880 / 5906 ] simplifiying candidate # 311.557 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 311.557 * * [simplify]: iters left: 6 (51 enodes) 311.584 * * [simplify]: iters left: 5 (244 enodes) 311.654 * * [simplify]: Extracting #0: cost 1 inf + 0 311.654 * * [simplify]: Extracting #1: cost 3 inf + 0 311.654 * * [simplify]: Extracting #2: cost 10 inf + 0 311.654 * * [simplify]: Extracting #3: cost 74 inf + 0 311.655 * * [simplify]: Extracting #4: cost 137 inf + 1 311.656 * * [simplify]: Extracting #5: cost 187 inf + 207 311.658 * * [simplify]: Extracting #6: cost 241 inf + 2130 311.663 * * [simplify]: Extracting #7: cost 184 inf + 12981 311.672 * * [simplify]: Extracting #8: cost 135 inf + 30496 311.686 * * [simplify]: Extracting #9: cost 100 inf + 44434 311.704 * * [simplify]: Extracting #10: cost 57 inf + 61019 311.736 * * [simplify]: Extracting #11: cost 17 inf + 97459 311.781 * * [simplify]: Extracting #12: cost 1 inf + 117779 311.805 * * [simplify]: Extracting #13: cost 0 inf + 119844 311.846 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 311.846 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 311.847 * * * * [progress]: [ 881 / 5906 ] simplifiying candidate # 311.848 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 311.848 * * [simplify]: iters left: 6 (46 enodes) 311.871 * * [simplify]: iters left: 5 (216 enodes) 311.938 * * [simplify]: Extracting #0: cost 1 inf + 0 311.938 * * [simplify]: Extracting #1: cost 3 inf + 0 311.938 * * [simplify]: Extracting #2: cost 10 inf + 0 311.938 * * [simplify]: Extracting #3: cost 65 inf + 0 311.938 * * [simplify]: Extracting #4: cost 117 inf + 44 311.939 * * [simplify]: Extracting #5: cost 151 inf + 904 311.940 * * [simplify]: Extracting #6: cost 208 inf + 2976 311.941 * * [simplify]: Extracting #7: cost 191 inf + 5589 311.945 * * [simplify]: Extracting #8: cost 110 inf + 29282 311.961 * * [simplify]: Extracting #9: cost 50 inf + 56036 311.989 * * [simplify]: Extracting #10: cost 12 inf + 85289 312.015 * * [simplify]: Extracting #11: cost 0 inf + 97483 312.049 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1)))))) 312.049 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 312.050 * * * * [progress]: [ 882 / 5906 ] simplifiying candidate # 312.050 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 312.051 * * [simplify]: iters left: 6 (48 enodes) 312.067 * * [simplify]: iters left: 5 (229 enodes) 312.126 * * [simplify]: Extracting #0: cost 1 inf + 0 312.126 * * [simplify]: Extracting #1: cost 3 inf + 0 312.126 * * [simplify]: Extracting #2: cost 6 inf + 0 312.126 * * [simplify]: Extracting #3: cost 54 inf + 0 312.129 * * [simplify]: Extracting #4: cost 120 inf + 0 312.129 * * [simplify]: Extracting #5: cost 188 inf + 0 312.130 * * [simplify]: Extracting #6: cost 252 inf + 1311 312.131 * * [simplify]: Extracting #7: cost 213 inf + 7874 312.136 * * [simplify]: Extracting #8: cost 106 inf + 34694 312.147 * * [simplify]: Extracting #9: cost 39 inf + 64182 312.171 * * [simplify]: Extracting #10: cost 5 inf + 100545 312.204 * * [simplify]: Extracting #11: cost 0 inf + 107670 312.224 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 312.224 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 312.225 * * * * [progress]: [ 883 / 5906 ] simplifiying candidate # 312.225 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 312.226 * * [simplify]: iters left: 6 (49 enodes) 312.240 * * [simplify]: iters left: 5 (238 enodes) 312.299 * * [simplify]: Extracting #0: cost 1 inf + 0 312.300 * * [simplify]: Extracting #1: cost 3 inf + 0 312.300 * * [simplify]: Extracting #2: cost 6 inf + 0 312.300 * * [simplify]: Extracting #3: cost 58 inf + 0 312.300 * * [simplify]: Extracting #4: cost 143 inf + 0 312.301 * * [simplify]: Extracting #5: cost 201 inf + 85 312.304 * * [simplify]: Extracting #6: cost 234 inf + 4282 312.309 * * [simplify]: Extracting #7: cost 188 inf + 13848 312.319 * * [simplify]: Extracting #8: cost 127 inf + 30612 312.334 * * [simplify]: Extracting #9: cost 87 inf + 47307 312.355 * * [simplify]: Extracting #10: cost 48 inf + 62327 312.373 * * [simplify]: Extracting #11: cost 8 inf + 101047 312.401 * * [simplify]: Extracting #12: cost 0 inf + 110287 312.440 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))))) 312.440 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 312.441 * * * * [progress]: [ 884 / 5906 ] simplifiying candidate # 312.441 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 312.442 * * [simplify]: iters left: 6 (49 enodes) 312.466 * * [simplify]: iters left: 5 (238 enodes) 312.537 * * [simplify]: Extracting #0: cost 1 inf + 0 312.537 * * [simplify]: Extracting #1: cost 3 inf + 0 312.537 * * [simplify]: Extracting #2: cost 6 inf + 0 312.537 * * [simplify]: Extracting #3: cost 60 inf + 0 312.538 * * [simplify]: Extracting #4: cost 141 inf + 0 312.538 * * [simplify]: Extracting #5: cost 196 inf + 166 312.540 * * [simplify]: Extracting #6: cost 223 inf + 6013 312.542 * * [simplify]: Extracting #7: cost 179 inf + 15772 312.547 * * [simplify]: Extracting #8: cost 125 inf + 30492 312.554 * * [simplify]: Extracting #9: cost 88 inf + 44857 312.566 * * [simplify]: Extracting #10: cost 51 inf + 58604 312.577 * * [simplify]: Extracting #11: cost 33 inf + 71134 312.595 * * [simplify]: Extracting #12: cost 2 inf + 104749 312.615 * * [simplify]: Extracting #13: cost 0 inf + 107799 312.654 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 312.654 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 312.655 * * * * [progress]: [ 885 / 5906 ] simplifiying candidate # 312.655 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 312.656 * * [simplify]: iters left: 6 (43 enodes) 312.677 * * [simplify]: iters left: 5 (202 enodes) 312.721 * * [simplify]: Extracting #0: cost 1 inf + 0 312.721 * * [simplify]: Extracting #1: cost 3 inf + 0 312.721 * * [simplify]: Extracting #2: cost 6 inf + 0 312.722 * * [simplify]: Extracting #3: cost 52 inf + 0 312.722 * * [simplify]: Extracting #4: cost 109 inf + 0 312.722 * * [simplify]: Extracting #5: cost 145 inf + 126 312.723 * * [simplify]: Extracting #6: cost 198 inf + 1439 312.724 * * [simplify]: Extracting #7: cost 177 inf + 5832 312.729 * * [simplify]: Extracting #8: cost 90 inf + 35143 312.739 * * [simplify]: Extracting #9: cost 37 inf + 53706 312.753 * * [simplify]: Extracting #10: cost 7 inf + 76483 312.788 * * [simplify]: Extracting #11: cost 0 inf + 85418 312.819 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1)))))) 312.819 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 312.820 * * * * [progress]: [ 886 / 5906 ] simplifiying candidate # 312.820 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 312.821 * * [simplify]: iters left: 6 (48 enodes) 312.845 * * [simplify]: iters left: 5 (230 enodes) 312.921 * * [simplify]: Extracting #0: cost 1 inf + 0 312.921 * * [simplify]: Extracting #1: cost 3 inf + 0 312.921 * * [simplify]: Extracting #2: cost 10 inf + 0 312.921 * * [simplify]: Extracting #3: cost 72 inf + 0 312.921 * * [simplify]: Extracting #4: cost 127 inf + 1 312.922 * * [simplify]: Extracting #5: cost 170 inf + 85 312.923 * * [simplify]: Extracting #6: cost 221 inf + 2045 312.924 * * [simplify]: Extracting #7: cost 190 inf + 9375 312.933 * * [simplify]: Extracting #8: cost 108 inf + 31331 312.958 * * [simplify]: Extracting #9: cost 22 inf + 80414 312.994 * * [simplify]: Extracting #10: cost 0 inf + 101269 313.022 * * [simplify]: Extracting #11: cost 0 inf + 101069 313.043 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) 313.043 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 313.044 * * * * [progress]: [ 887 / 5906 ] simplifiying candidate # 313.044 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 313.045 * * [simplify]: iters left: 6 (43 enodes) 313.062 * * [simplify]: iters left: 5 (202 enodes) 313.116 * * [simplify]: Extracting #0: cost 1 inf + 0 313.116 * * [simplify]: Extracting #1: cost 3 inf + 0 313.116 * * [simplify]: Extracting #2: cost 10 inf + 0 313.117 * * [simplify]: Extracting #3: cost 64 inf + 0 313.117 * * [simplify]: Extracting #4: cost 107 inf + 44 313.118 * * [simplify]: Extracting #5: cost 133 inf + 983 313.120 * * [simplify]: Extracting #6: cost 187 inf + 2772 313.122 * * [simplify]: Extracting #7: cost 177 inf + 5909 313.128 * * [simplify]: Extracting #8: cost 109 inf + 19426 313.141 * * [simplify]: Extracting #9: cost 60 inf + 38914 313.159 * * [simplify]: Extracting #10: cost 27 inf + 54939 313.186 * * [simplify]: Extracting #11: cost 3 inf + 77193 313.202 * * [simplify]: Extracting #12: cost 1 inf + 80403 313.227 * * [simplify]: Extracting #13: cost 0 inf + 82028 313.258 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (+ phi2 phi1) (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) 313.258 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (+ phi2 phi1) (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 313.259 * * * * [progress]: [ 888 / 5906 ] simplifiying candidate # 313.259 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 313.260 * * [simplify]: iters left: 6 (48 enodes) 313.284 * * [simplify]: iters left: 5 (230 enodes) 313.351 * * [simplify]: Extracting #0: cost 1 inf + 0 313.351 * * [simplify]: Extracting #1: cost 3 inf + 0 313.351 * * [simplify]: Extracting #2: cost 10 inf + 0 313.351 * * [simplify]: Extracting #3: cost 72 inf + 0 313.352 * * [simplify]: Extracting #4: cost 126 inf + 42 313.353 * * [simplify]: Extracting #5: cost 166 inf + 290 313.355 * * [simplify]: Extracting #6: cost 216 inf + 3333 313.358 * * [simplify]: Extracting #7: cost 189 inf + 9496 313.366 * * [simplify]: Extracting #8: cost 106 inf + 31836 313.392 * * [simplify]: Extracting #9: cost 22 inf + 81534 313.429 * * [simplify]: Extracting #10: cost 0 inf + 102229 313.471 * * [simplify]: Extracting #11: cost 0 inf + 102029 313.509 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) 313.510 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 313.511 * * * * [progress]: [ 889 / 5906 ] simplifiying candidate # 313.511 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 313.512 * * [simplify]: iters left: 6 (43 enodes) 313.536 * * [simplify]: iters left: 5 (202 enodes) 313.592 * * [simplify]: Extracting #0: cost 1 inf + 0 313.593 * * [simplify]: Extracting #1: cost 3 inf + 0 313.593 * * [simplify]: Extracting #2: cost 10 inf + 0 313.593 * * [simplify]: Extracting #3: cost 63 inf + 0 313.594 * * [simplify]: Extracting #4: cost 107 inf + 44 313.594 * * [simplify]: Extracting #5: cost 136 inf + 537 313.599 * * [simplify]: Extracting #6: cost 188 inf + 2610 313.602 * * [simplify]: Extracting #7: cost 174 inf + 6194 313.608 * * [simplify]: Extracting #8: cost 108 inf + 20205 313.621 * * [simplify]: Extracting #9: cost 58 inf + 40142 313.639 * * [simplify]: Extracting #10: cost 27 inf + 55259 313.667 * * [simplify]: Extracting #11: cost 3 inf + 77513 313.698 * * [simplify]: Extracting #12: cost 0 inf + 82348 313.728 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (+ phi2 phi1) (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) 313.728 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (+ phi2 phi1) (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 313.729 * * * * [progress]: [ 890 / 5906 ] simplifiying candidate # 313.730 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 313.730 * * [simplify]: iters left: 6 (51 enodes) 313.756 * * [simplify]: iters left: 5 (243 enodes) 313.841 * * [simplify]: Extracting #0: cost 1 inf + 0 313.841 * * [simplify]: Extracting #1: cost 3 inf + 0 313.841 * * [simplify]: Extracting #2: cost 6 inf + 0 313.841 * * [simplify]: Extracting #3: cost 56 inf + 0 313.841 * * [simplify]: Extracting #4: cost 130 inf + 0 313.842 * * [simplify]: Extracting #5: cost 207 inf + 0 313.843 * * [simplify]: Extracting #6: cost 271 inf + 1539 313.845 * * [simplify]: Extracting #7: cost 203 inf + 13557 313.850 * * [simplify]: Extracting #8: cost 119 inf + 40242 313.864 * * [simplify]: Extracting #9: cost 60 inf + 62025 313.886 * * [simplify]: Extracting #10: cost 8 inf + 111725 313.927 * * [simplify]: Extracting #11: cost 1 inf + 120980 313.960 * * [simplify]: Extracting #12: cost 0 inf + 123005 313.991 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 313.991 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 313.992 * * * * [progress]: [ 891 / 5906 ] simplifiying candidate # 313.993 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 313.993 * * [simplify]: iters left: 6 (52 enodes) 314.024 * * [simplify]: iters left: 5 (252 enodes) 314.080 * * [simplify]: Extracting #0: cost 1 inf + 0 314.080 * * [simplify]: Extracting #1: cost 3 inf + 0 314.080 * * [simplify]: Extracting #2: cost 6 inf + 0 314.080 * * [simplify]: Extracting #3: cost 60 inf + 0 314.081 * * [simplify]: Extracting #4: cost 153 inf + 0 314.081 * * [simplify]: Extracting #5: cost 221 inf + 44 314.083 * * [simplify]: Extracting #6: cost 248 inf + 5098 314.086 * * [simplify]: Extracting #7: cost 185 inf + 16956 314.095 * * [simplify]: Extracting #8: cost 103 inf + 48250 314.121 * * [simplify]: Extracting #9: cost 50 inf + 71492 314.150 * * [simplify]: Extracting #10: cost 6 inf + 118712 314.180 * * [simplify]: Extracting #11: cost 1 inf + 124997 314.227 * * [simplify]: Extracting #12: cost 0 inf + 127142 314.276 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 314.276 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 314.278 * * * * [progress]: [ 892 / 5906 ] simplifiying candidate # 314.278 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 314.279 * * [simplify]: iters left: 6 (52 enodes) 314.304 * * [simplify]: iters left: 5 (252 enodes) 314.372 * * [simplify]: Extracting #0: cost 1 inf + 0 314.372 * * [simplify]: Extracting #1: cost 3 inf + 0 314.372 * * [simplify]: Extracting #2: cost 6 inf + 0 314.372 * * [simplify]: Extracting #3: cost 62 inf + 0 314.372 * * [simplify]: Extracting #4: cost 151 inf + 0 314.373 * * [simplify]: Extracting #5: cost 217 inf + 44 314.374 * * [simplify]: Extracting #6: cost 240 inf + 6704 314.378 * * [simplify]: Extracting #7: cost 184 inf + 16508 314.385 * * [simplify]: Extracting #8: cost 105 inf + 45433 314.400 * * [simplify]: Extracting #9: cost 49 inf + 71349 314.421 * * [simplify]: Extracting #10: cost 6 inf + 115544 314.450 * * [simplify]: Extracting #11: cost 1 inf + 121309 314.483 * * [simplify]: Extracting #12: cost 0 inf + 123414 314.514 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 314.514 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 314.515 * * * * [progress]: [ 893 / 5906 ] simplifiying candidate # 314.515 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 314.516 * * [simplify]: iters left: 6 (46 enodes) 314.539 * * [simplify]: iters left: 5 (216 enodes) 314.598 * * [simplify]: Extracting #0: cost 1 inf + 0 314.598 * * [simplify]: Extracting #1: cost 3 inf + 0 314.598 * * [simplify]: Extracting #2: cost 6 inf + 0 314.598 * * [simplify]: Extracting #3: cost 54 inf + 0 314.599 * * [simplify]: Extracting #4: cost 119 inf + 0 314.600 * * [simplify]: Extracting #5: cost 164 inf + 86 314.601 * * [simplify]: Extracting #6: cost 221 inf + 1235 314.603 * * [simplify]: Extracting #7: cost 208 inf + 3478 314.609 * * [simplify]: Extracting #8: cost 134 inf + 22052 314.625 * * [simplify]: Extracting #9: cost 55 inf + 54385 314.656 * * [simplify]: Extracting #10: cost 11 inf + 90904 314.695 * * [simplify]: Extracting #11: cost 0 inf + 101473 314.735 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ phi2 phi1)))))) 314.735 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 314.736 * * * * [progress]: [ 894 / 5906 ] simplifiying candidate # 314.736 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 314.737 * * [simplify]: iters left: 6 (51 enodes) 314.762 * * [simplify]: iters left: 5 (244 enodes) 314.824 * * [simplify]: Extracting #0: cost 1 inf + 0 314.825 * * [simplify]: Extracting #1: cost 3 inf + 0 314.825 * * [simplify]: Extracting #2: cost 10 inf + 0 314.825 * * [simplify]: Extracting #3: cost 74 inf + 0 314.826 * * [simplify]: Extracting #4: cost 137 inf + 1 314.827 * * [simplify]: Extracting #5: cost 186 inf + 249 314.828 * * [simplify]: Extracting #6: cost 239 inf + 2172 314.832 * * [simplify]: Extracting #7: cost 189 inf + 11288 314.842 * * [simplify]: Extracting #8: cost 136 inf + 30004 314.856 * * [simplify]: Extracting #9: cost 92 inf + 46954 314.871 * * [simplify]: Extracting #10: cost 48 inf + 66444 314.888 * * [simplify]: Extracting #11: cost 10 inf + 103114 314.912 * * [simplify]: Extracting #12: cost 0 inf + 116964 314.939 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))) 314.939 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 314.940 * * * * [progress]: [ 895 / 5906 ] simplifiying candidate # 314.940 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 314.940 * * [simplify]: iters left: 6 (46 enodes) 314.952 * * [simplify]: iters left: 5 (216 enodes) 315.003 * * [simplify]: Extracting #0: cost 1 inf + 0 315.003 * * [simplify]: Extracting #1: cost 3 inf + 0 315.003 * * [simplify]: Extracting #2: cost 10 inf + 0 315.003 * * [simplify]: Extracting #3: cost 66 inf + 0 315.004 * * [simplify]: Extracting #4: cost 117 inf + 44 315.004 * * [simplify]: Extracting #5: cost 154 inf + 618 315.005 * * [simplify]: Extracting #6: cost 209 inf + 2814 315.007 * * [simplify]: Extracting #7: cost 188 inf + 5873 315.011 * * [simplify]: Extracting #8: cost 115 inf + 24888 315.019 * * [simplify]: Extracting #9: cost 61 inf + 48795 315.033 * * [simplify]: Extracting #10: cost 12 inf + 85169 315.072 * * [simplify]: Extracting #11: cost 0 inf + 97403 315.112 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 315.112 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 315.113 * * * * [progress]: [ 896 / 5906 ] simplifiying candidate # 315.113 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 315.114 * * [simplify]: iters left: 6 (51 enodes) 315.140 * * [simplify]: iters left: 5 (244 enodes) 315.211 * * [simplify]: Extracting #0: cost 1 inf + 0 315.211 * * [simplify]: Extracting #1: cost 3 inf + 0 315.211 * * [simplify]: Extracting #2: cost 10 inf + 0 315.212 * * [simplify]: Extracting #3: cost 74 inf + 0 315.212 * * [simplify]: Extracting #4: cost 137 inf + 1 315.213 * * [simplify]: Extracting #5: cost 187 inf + 207 315.215 * * [simplify]: Extracting #6: cost 240 inf + 2332 315.220 * * [simplify]: Extracting #7: cost 183 inf + 12619 315.229 * * [simplify]: Extracting #8: cost 137 inf + 29912 315.243 * * [simplify]: Extracting #9: cost 92 inf + 47834 315.264 * * [simplify]: Extracting #10: cost 48 inf + 67404 315.298 * * [simplify]: Extracting #11: cost 10 inf + 104074 315.337 * * [simplify]: Extracting #12: cost 0 inf + 117924 315.368 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) 315.369 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 315.370 * * * * [progress]: [ 897 / 5906 ] simplifiying candidate # 315.370 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 315.371 * * [simplify]: iters left: 6 (46 enodes) 315.395 * * [simplify]: iters left: 5 (216 enodes) 315.465 * * [simplify]: Extracting #0: cost 1 inf + 0 315.465 * * [simplify]: Extracting #1: cost 3 inf + 0 315.465 * * [simplify]: Extracting #2: cost 10 inf + 0 315.465 * * [simplify]: Extracting #3: cost 65 inf + 0 315.465 * * [simplify]: Extracting #4: cost 117 inf + 44 315.466 * * [simplify]: Extracting #5: cost 151 inf + 904 315.467 * * [simplify]: Extracting #6: cost 208 inf + 2976 315.468 * * [simplify]: Extracting #7: cost 190 inf + 5671 315.475 * * [simplify]: Extracting #8: cost 108 inf + 30132 315.484 * * [simplify]: Extracting #9: cost 50 inf + 56356 315.500 * * [simplify]: Extracting #10: cost 12 inf + 85609 315.520 * * [simplify]: Extracting #11: cost 0 inf + 97803 315.556 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1)))))) 315.556 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 315.557 * * * * [progress]: [ 898 / 5906 ] simplifiying candidate # 315.558 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 315.558 * * [simplify]: iters left: 6 (50 enodes) 315.580 * * [simplify]: iters left: 5 (238 enodes) 315.650 * * [simplify]: Extracting #0: cost 1 inf + 0 315.650 * * [simplify]: Extracting #1: cost 3 inf + 0 315.650 * * [simplify]: Extracting #2: cost 6 inf + 0 315.650 * * [simplify]: Extracting #3: cost 57 inf + 0 315.651 * * [simplify]: Extracting #4: cost 128 inf + 0 315.652 * * [simplify]: Extracting #5: cost 195 inf + 0 315.653 * * [simplify]: Extracting #6: cost 260 inf + 3439 315.657 * * [simplify]: Extracting #7: cost 209 inf + 13567 315.665 * * [simplify]: Extracting #8: cost 130 inf + 29592 315.676 * * [simplify]: Extracting #9: cost 57 inf + 60768 315.702 * * [simplify]: Extracting #10: cost 3 inf + 109777 315.733 * * [simplify]: Extracting #11: cost 0 inf + 112772 315.757 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (+ lambda2 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 315.757 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (+ lambda2 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 315.758 * * * * [progress]: [ 899 / 5906 ] simplifiying candidate # 315.759 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 315.759 * * [simplify]: iters left: 6 (51 enodes) 315.787 * * [simplify]: iters left: 5 (247 enodes) 315.853 * * [simplify]: Extracting #0: cost 1 inf + 0 315.853 * * [simplify]: Extracting #1: cost 3 inf + 0 315.853 * * [simplify]: Extracting #2: cost 6 inf + 0 315.853 * * [simplify]: Extracting #3: cost 61 inf + 0 315.854 * * [simplify]: Extracting #4: cost 151 inf + 0 315.854 * * [simplify]: Extracting #5: cost 208 inf + 86 315.855 * * [simplify]: Extracting #6: cost 244 inf + 4807 315.858 * * [simplify]: Extracting #7: cost 198 inf + 15383 315.863 * * [simplify]: Extracting #8: cost 143 inf + 27570 315.876 * * [simplify]: Extracting #9: cost 98 inf + 47291 315.894 * * [simplify]: Extracting #10: cost 59 inf + 61394 315.909 * * [simplify]: Extracting #11: cost 30 inf + 83399 315.939 * * [simplify]: Extracting #12: cost 2 inf + 115339 315.982 * * [simplify]: Extracting #13: cost 0 inf + 118269 316.006 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) 316.006 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 316.006 * * * * [progress]: [ 900 / 5906 ] simplifiying candidate # 316.007 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 316.007 * * [simplify]: iters left: 6 (51 enodes) 316.027 * * [simplify]: iters left: 5 (247 enodes) 316.119 * * [simplify]: Extracting #0: cost 1 inf + 0 316.119 * * [simplify]: Extracting #1: cost 3 inf + 0 316.119 * * [simplify]: Extracting #2: cost 6 inf + 0 316.119 * * [simplify]: Extracting #3: cost 63 inf + 0 316.119 * * [simplify]: Extracting #4: cost 149 inf + 0 316.120 * * [simplify]: Extracting #5: cost 205 inf + 44 316.121 * * [simplify]: Extracting #6: cost 241 inf + 4445 316.124 * * [simplify]: Extracting #7: cost 201 inf + 13464 316.129 * * [simplify]: Extracting #8: cost 115 inf + 37470 316.150 * * [simplify]: Extracting #9: cost 34 inf + 77891 316.175 * * [simplify]: Extracting #10: cost 5 inf + 106776 316.219 * * [simplify]: Extracting #11: cost 0 inf + 113501 316.261 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 316.261 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 316.262 * * * * [progress]: [ 901 / 5906 ] simplifiying candidate # 316.263 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 316.263 * * [simplify]: iters left: 6 (45 enodes) 316.282 * * [simplify]: iters left: 5 (211 enodes) 316.333 * * [simplify]: Extracting #0: cost 1 inf + 0 316.333 * * [simplify]: Extracting #1: cost 3 inf + 0 316.333 * * [simplify]: Extracting #2: cost 6 inf + 0 316.333 * * [simplify]: Extracting #3: cost 55 inf + 0 316.334 * * [simplify]: Extracting #4: cost 117 inf + 0 316.335 * * [simplify]: Extracting #5: cost 153 inf + 44 316.336 * * [simplify]: Extracting #6: cost 215 inf + 830 316.338 * * [simplify]: Extracting #7: cost 198 inf + 4209 316.346 * * [simplify]: Extracting #8: cost 119 inf + 23578 316.370 * * [simplify]: Extracting #9: cost 20 inf + 81406 316.404 * * [simplify]: Extracting #10: cost 0 inf + 91120 316.440 * * [simplify]: Extracting #11: cost 0 inf + 90600 316.479 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ lambda2 lambda1)) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))))))) 316.479 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ lambda2 lambda1)) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 316.480 * * * * [progress]: [ 902 / 5906 ] simplifiying candidate # 316.481 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 316.481 * * [simplify]: iters left: 6 (50 enodes) 316.498 * * [simplify]: iters left: 5 (239 enodes) 316.570 * * [simplify]: Extracting #0: cost 1 inf + 0 316.570 * * [simplify]: Extracting #1: cost 3 inf + 0 316.570 * * [simplify]: Extracting #2: cost 10 inf + 0 316.571 * * [simplify]: Extracting #3: cost 75 inf + 0 316.571 * * [simplify]: Extracting #4: cost 142 inf + 1 316.572 * * [simplify]: Extracting #5: cost 182 inf + 207 316.574 * * [simplify]: Extracting #6: cost 238 inf + 2373 316.582 * * [simplify]: Extracting #7: cost 205 inf + 10631 316.590 * * [simplify]: Extracting #8: cost 132 inf + 26897 316.605 * * [simplify]: Extracting #9: cost 78 inf + 48834 316.628 * * [simplify]: Extracting #10: cost 32 inf + 76306 316.658 * * [simplify]: Extracting #11: cost 4 inf + 106806 316.691 * * [simplify]: Extracting #12: cost 1 inf + 111521 316.736 * * [simplify]: Extracting #13: cost 0 inf + 113386 316.781 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 316.781 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 316.782 * * * * [progress]: [ 903 / 5906 ] simplifiying candidate # 316.782 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 316.783 * * [simplify]: iters left: 6 (45 enodes) 316.800 * * [simplify]: iters left: 5 (211 enodes) 316.852 * * [simplify]: Extracting #0: cost 1 inf + 0 316.852 * * [simplify]: Extracting #1: cost 3 inf + 0 316.852 * * [simplify]: Extracting #2: cost 10 inf + 0 316.853 * * [simplify]: Extracting #3: cost 67 inf + 0 316.853 * * [simplify]: Extracting #4: cost 122 inf + 44 316.854 * * [simplify]: Extracting #5: cost 149 inf + 619 316.856 * * [simplify]: Extracting #6: cost 205 inf + 2976 316.859 * * [simplify]: Extracting #7: cost 189 inf + 6360 316.870 * * [simplify]: Extracting #8: cost 111 inf + 30119 316.882 * * [simplify]: Extracting #9: cost 28 inf + 70751 316.899 * * [simplify]: Extracting #10: cost 4 inf + 87271 316.929 * * [simplify]: Extracting #11: cost 0 inf + 90705 316.949 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) 316.949 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 316.950 * * * * [progress]: [ 904 / 5906 ] simplifiying candidate # 316.950 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 316.950 * * [simplify]: iters left: 6 (50 enodes) 316.964 * * [simplify]: iters left: 5 (239 enodes) 317.034 * * [simplify]: Extracting #0: cost 1 inf + 0 317.034 * * [simplify]: Extracting #1: cost 3 inf + 0 317.034 * * [simplify]: Extracting #2: cost 10 inf + 0 317.034 * * [simplify]: Extracting #3: cost 75 inf + 0 317.034 * * [simplify]: Extracting #4: cost 142 inf + 1 317.035 * * [simplify]: Extracting #5: cost 183 inf + 165 317.036 * * [simplify]: Extracting #6: cost 236 inf + 2898 317.038 * * [simplify]: Extracting #7: cost 200 inf + 12436 317.042 * * [simplify]: Extracting #8: cost 129 inf + 28573 317.055 * * [simplify]: Extracting #9: cost 46 inf + 68435 317.093 * * [simplify]: Extracting #10: cost 4 inf + 105366 317.117 * * [simplify]: Extracting #11: cost 1 inf + 109841 317.151 * * [simplify]: Extracting #12: cost 0 inf + 111626 317.190 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 317.191 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 317.191 * * * * [progress]: [ 905 / 5906 ] simplifiying candidate # 317.192 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 317.192 * * [simplify]: iters left: 6 (45 enodes) 317.215 * * [simplify]: iters left: 5 (211 enodes) 317.295 * * [simplify]: Extracting #0: cost 1 inf + 0 317.295 * * [simplify]: Extracting #1: cost 3 inf + 0 317.295 * * [simplify]: Extracting #2: cost 10 inf + 0 317.296 * * [simplify]: Extracting #3: cost 66 inf + 0 317.296 * * [simplify]: Extracting #4: cost 122 inf + 44 317.297 * * [simplify]: Extracting #5: cost 142 inf + 1472 317.299 * * [simplify]: Extracting #6: cost 206 inf + 2934 317.302 * * [simplify]: Extracting #7: cost 190 inf + 6357 317.310 * * [simplify]: Extracting #8: cost 110 inf + 30561 317.333 * * [simplify]: Extracting #9: cost 30 inf + 69983 317.365 * * [simplify]: Extracting #10: cost 4 inf + 87671 317.404 * * [simplify]: Extracting #11: cost 0 inf + 91105 317.438 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) 317.438 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 317.439 * * * * [progress]: [ 906 / 5906 ] simplifiying candidate # 317.439 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 317.440 * * [simplify]: iters left: 6 (52 enodes) 317.453 * * [simplify]: iters left: 5 (255 enodes) 317.533 * * [simplify]: Extracting #0: cost 1 inf + 0 317.533 * * [simplify]: Extracting #1: cost 3 inf + 0 317.533 * * [simplify]: Extracting #2: cost 6 inf + 0 317.533 * * [simplify]: Extracting #3: cost 56 inf + 0 317.534 * * [simplify]: Extracting #4: cost 130 inf + 0 317.535 * * [simplify]: Extracting #5: cost 214 inf + 0 317.536 * * [simplify]: Extracting #6: cost 310 inf + 974 317.540 * * [simplify]: Extracting #7: cost 270 inf + 8549 317.548 * * [simplify]: Extracting #8: cost 169 inf + 30016 317.556 * * [simplify]: Extracting #9: cost 108 inf + 46819 317.569 * * [simplify]: Extracting #10: cost 55 inf + 72552 317.589 * * [simplify]: Extracting #11: cost 14 inf + 112335 317.622 * * [simplify]: Extracting #12: cost 1 inf + 127260 317.663 * * [simplify]: Extracting #13: cost 0 inf + 129285 317.696 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 317.697 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 317.698 * * * * [progress]: [ 907 / 5906 ] simplifiying candidate # 317.698 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 317.699 * * [simplify]: iters left: 6 (53 enodes) 317.726 * * [simplify]: iters left: 5 (264 enodes) 317.839 * * [simplify]: Extracting #0: cost 1 inf + 0 317.839 * * [simplify]: Extracting #1: cost 3 inf + 0 317.839 * * [simplify]: Extracting #2: cost 6 inf + 0 317.839 * * [simplify]: Extracting #3: cost 60 inf + 0 317.840 * * [simplify]: Extracting #4: cost 153 inf + 0 317.841 * * [simplify]: Extracting #5: cost 227 inf + 85 317.844 * * [simplify]: Extracting #6: cost 289 inf + 4599 317.849 * * [simplify]: Extracting #7: cost 250 inf + 12614 317.860 * * [simplify]: Extracting #8: cost 166 inf + 32169 317.881 * * [simplify]: Extracting #9: cost 73 inf + 65851 317.912 * * [simplify]: Extracting #10: cost 18 inf + 113512 317.948 * * [simplify]: Extracting #11: cost 2 inf + 128012 317.998 * * [simplify]: Extracting #12: cost 0 inf + 132302 318.028 * [simplify]: Simplified to (sqrt (+ (+ (* (* phi1 phi1) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (- (* phi2 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 318.028 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (+ (* (* phi1 phi1) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (- (* phi2 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 318.029 * * * * [progress]: [ 908 / 5906 ] simplifiying candidate # 318.029 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 318.030 * * [simplify]: iters left: 6 (53 enodes) 318.055 * * [simplify]: iters left: 5 (264 enodes) 318.130 * * [simplify]: Extracting #0: cost 1 inf + 0 318.130 * * [simplify]: Extracting #1: cost 3 inf + 0 318.131 * * [simplify]: Extracting #2: cost 6 inf + 0 318.131 * * [simplify]: Extracting #3: cost 62 inf + 0 318.131 * * [simplify]: Extracting #4: cost 151 inf + 0 318.133 * * [simplify]: Extracting #5: cost 224 inf + 44 318.136 * * [simplify]: Extracting #6: cost 292 inf + 3507 318.141 * * [simplify]: Extracting #7: cost 251 inf + 11261 318.151 * * [simplify]: Extracting #8: cost 158 inf + 33770 318.175 * * [simplify]: Extracting #9: cost 67 inf + 67601 318.212 * * [simplify]: Extracting #10: cost 9 inf + 116909 318.237 * * [simplify]: Extracting #11: cost 0 inf + 128454 318.277 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 318.277 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 318.277 * * * * [progress]: [ 909 / 5906 ] simplifiying candidate # 318.278 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 318.278 * * [simplify]: iters left: 6 (47 enodes) 318.291 * * [simplify]: iters left: 5 (228 enodes) 318.364 * * [simplify]: Extracting #0: cost 1 inf + 0 318.364 * * [simplify]: Extracting #1: cost 3 inf + 0 318.364 * * [simplify]: Extracting #2: cost 6 inf + 0 318.364 * * [simplify]: Extracting #3: cost 54 inf + 0 318.364 * * [simplify]: Extracting #4: cost 119 inf + 0 318.365 * * [simplify]: Extracting #5: cost 172 inf + 44 318.366 * * [simplify]: Extracting #6: cost 254 inf + 1192 318.367 * * [simplify]: Extracting #7: cost 233 inf + 4486 318.370 * * [simplify]: Extracting #8: cost 165 inf + 18942 318.377 * * [simplify]: Extracting #9: cost 96 inf + 40373 318.397 * * [simplify]: Extracting #10: cost 39 inf + 76949 318.416 * * [simplify]: Extracting #11: cost 13 inf + 95140 318.442 * * [simplify]: Extracting #12: cost 1 inf + 105128 318.464 * * [simplify]: Extracting #13: cost 0 inf + 106953 318.497 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 318.497 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 318.498 * * * * [progress]: [ 910 / 5906 ] simplifiying candidate # 318.499 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 318.499 * * [simplify]: iters left: 6 (52 enodes) 318.528 * * [simplify]: iters left: 5 (256 enodes) 318.602 * * [simplify]: Extracting #0: cost 1 inf + 0 318.602 * * [simplify]: Extracting #1: cost 3 inf + 0 318.602 * * [simplify]: Extracting #2: cost 10 inf + 0 318.603 * * [simplify]: Extracting #3: cost 74 inf + 0 318.603 * * [simplify]: Extracting #4: cost 136 inf + 42 318.604 * * [simplify]: Extracting #5: cost 193 inf + 248 318.606 * * [simplify]: Extracting #6: cost 275 inf + 2404 318.610 * * [simplify]: Extracting #7: cost 249 inf + 9064 318.616 * * [simplify]: Extracting #8: cost 179 inf + 21964 318.631 * * [simplify]: Extracting #9: cost 120 inf + 37793 318.644 * * [simplify]: Extracting #10: cost 60 inf + 66693 318.666 * * [simplify]: Extracting #11: cost 6 inf + 115574 318.712 * * [simplify]: Extracting #12: cost 0 inf + 121764 318.763 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 318.763 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 318.764 * * * * [progress]: [ 911 / 5906 ] simplifiying candidate # 318.765 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 318.765 * * [simplify]: iters left: 6 (47 enodes) 318.787 * * [simplify]: iters left: 5 (228 enodes) 318.836 * * [simplify]: Extracting #0: cost 1 inf + 0 318.836 * * [simplify]: Extracting #1: cost 3 inf + 0 318.836 * * [simplify]: Extracting #2: cost 10 inf + 0 318.836 * * [simplify]: Extracting #3: cost 66 inf + 0 318.837 * * [simplify]: Extracting #4: cost 117 inf + 44 318.837 * * [simplify]: Extracting #5: cost 156 inf + 1348 318.838 * * [simplify]: Extracting #6: cost 241 inf + 2972 318.839 * * [simplify]: Extracting #7: cost 241 inf + 3548 318.842 * * [simplify]: Extracting #8: cost 165 inf + 17659 318.850 * * [simplify]: Extracting #9: cost 101 inf + 43327 318.872 * * [simplify]: Extracting #10: cost 40 inf + 69323 318.907 * * [simplify]: Extracting #11: cost 7 inf + 94268 318.928 * * [simplify]: Extracting #12: cost 1 inf + 101978 318.967 * * [simplify]: Extracting #13: cost 0 inf + 103683 319.006 * * [simplify]: Extracting #14: cost 0 inf + 103603 319.045 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) 319.045 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 319.046 * * * * [progress]: [ 912 / 5906 ] simplifiying candidate # 319.046 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 319.047 * * [simplify]: iters left: 6 (52 enodes) 319.076 * * [simplify]: iters left: 5 (256 enodes) 319.176 * * [simplify]: Extracting #0: cost 1 inf + 0 319.176 * * [simplify]: Extracting #1: cost 3 inf + 0 319.176 * * [simplify]: Extracting #2: cost 10 inf + 0 319.176 * * [simplify]: Extracting #3: cost 74 inf + 0 319.176 * * [simplify]: Extracting #4: cost 136 inf + 42 319.177 * * [simplify]: Extracting #5: cost 193 inf + 248 319.178 * * [simplify]: Extracting #6: cost 279 inf + 1476 319.179 * * [simplify]: Extracting #7: cost 256 inf + 7441 319.185 * * [simplify]: Extracting #8: cost 178 inf + 22006 319.193 * * [simplify]: Extracting #9: cost 120 inf + 37953 319.213 * * [simplify]: Extracting #10: cost 61 inf + 66689 319.237 * * [simplify]: Extracting #11: cost 6 inf + 116534 319.285 * * [simplify]: Extracting #12: cost 0 inf + 122724 319.328 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 319.328 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 319.329 * * * * [progress]: [ 913 / 5906 ] simplifiying candidate # 319.329 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 319.329 * * [simplify]: iters left: 6 (47 enodes) 319.342 * * [simplify]: iters left: 5 (228 enodes) 319.396 * * [simplify]: Extracting #0: cost 1 inf + 0 319.396 * * [simplify]: Extracting #1: cost 3 inf + 0 319.396 * * [simplify]: Extracting #2: cost 10 inf + 0 319.396 * * [simplify]: Extracting #3: cost 65 inf + 0 319.397 * * [simplify]: Extracting #4: cost 116 inf + 86 319.398 * * [simplify]: Extracting #5: cost 152 inf + 1836 319.400 * * [simplify]: Extracting #6: cost 241 inf + 2932 319.403 * * [simplify]: Extracting #7: cost 241 inf + 3507 319.409 * * [simplify]: Extracting #8: cost 160 inf + 19513 319.423 * * [simplify]: Extracting #9: cost 100 inf + 43731 319.450 * * [simplify]: Extracting #10: cost 39 inf + 70028 319.483 * * [simplify]: Extracting #11: cost 7 inf + 94508 319.513 * * [simplify]: Extracting #12: cost 1 inf + 102218 319.534 * * [simplify]: Extracting #13: cost 0 inf + 103923 319.573 * * [simplify]: Extracting #14: cost 0 inf + 103843 319.609 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) 319.609 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 319.610 * * * * [progress]: [ 914 / 5906 ] simplifiying candidate # 319.610 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 319.610 * * [simplify]: iters left: 6 (48 enodes) 319.622 * * [simplify]: iters left: 5 (227 enodes) 319.695 * * [simplify]: Extracting #0: cost 1 inf + 0 319.695 * * [simplify]: Extracting #1: cost 3 inf + 0 319.695 * * [simplify]: Extracting #2: cost 6 inf + 0 319.695 * * [simplify]: Extracting #3: cost 48 inf + 0 319.696 * * [simplify]: Extracting #4: cost 112 inf + 0 319.696 * * [simplify]: Extracting #5: cost 184 inf + 0 319.697 * * [simplify]: Extracting #6: cost 253 inf + 974 319.700 * * [simplify]: Extracting #7: cost 210 inf + 9285 319.705 * * [simplify]: Extracting #8: cost 114 inf + 29883 319.714 * * [simplify]: Extracting #9: cost 42 inf + 60850 319.731 * * [simplify]: Extracting #10: cost 5 inf + 97467 319.752 * * [simplify]: Extracting #11: cost 0 inf + 103251 319.773 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 319.773 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 319.774 * * * * [progress]: [ 915 / 5906 ] simplifiying candidate # 319.774 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 319.774 * * [simplify]: iters left: 6 (49 enodes) 319.796 * * [simplify]: iters left: 5 (236 enodes) 319.893 * * [simplify]: Extracting #0: cost 1 inf + 0 319.893 * * [simplify]: Extracting #1: cost 3 inf + 0 319.893 * * [simplify]: Extracting #2: cost 6 inf + 0 319.893 * * [simplify]: Extracting #3: cost 52 inf + 0 319.894 * * [simplify]: Extracting #4: cost 135 inf + 0 319.895 * * [simplify]: Extracting #5: cost 197 inf + 85 319.898 * * [simplify]: Extracting #6: cost 221 inf + 7261 319.902 * * [simplify]: Extracting #7: cost 199 inf + 12178 319.910 * * [simplify]: Extracting #8: cost 152 inf + 19523 319.920 * * [simplify]: Extracting #9: cost 100 inf + 33404 319.938 * * [simplify]: Extracting #10: cost 48 inf + 60870 319.975 * * [simplify]: Extracting #11: cost 4 inf + 100210 320.015 * * [simplify]: Extracting #12: cost 0 inf + 104548 320.055 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (+ phi2 phi1)) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 320.055 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (+ phi2 phi1)) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 320.056 * * * * [progress]: [ 916 / 5906 ] simplifiying candidate # 320.056 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 320.057 * * [simplify]: iters left: 6 (49 enodes) 320.082 * * [simplify]: iters left: 5 (236 enodes) 320.139 * * [simplify]: Extracting #0: cost 1 inf + 0 320.139 * * [simplify]: Extracting #1: cost 3 inf + 0 320.139 * * [simplify]: Extracting #2: cost 6 inf + 0 320.140 * * [simplify]: Extracting #3: cost 54 inf + 0 320.140 * * [simplify]: Extracting #4: cost 133 inf + 0 320.141 * * [simplify]: Extracting #5: cost 192 inf + 166 320.143 * * [simplify]: Extracting #6: cost 225 inf + 5404 320.148 * * [simplify]: Extracting #7: cost 196 inf + 12618 320.156 * * [simplify]: Extracting #8: cost 134 inf + 24139 320.169 * * [simplify]: Extracting #9: cost 71 inf + 44209 320.196 * * [simplify]: Extracting #10: cost 30 inf + 78632 320.230 * * [simplify]: Extracting #11: cost 1 inf + 103056 320.251 * * [simplify]: Extracting #12: cost 0 inf + 103780 320.272 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 320.272 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 320.273 * * * * [progress]: [ 917 / 5906 ] simplifiying candidate # 320.273 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 320.273 * * [simplify]: iters left: 6 (43 enodes) 320.284 * * [simplify]: iters left: 5 (199 enodes) 320.354 * * [simplify]: Extracting #0: cost 1 inf + 0 320.354 * * [simplify]: Extracting #1: cost 3 inf + 0 320.354 * * [simplify]: Extracting #2: cost 6 inf + 0 320.354 * * [simplify]: Extracting #3: cost 46 inf + 0 320.355 * * [simplify]: Extracting #4: cost 101 inf + 0 320.355 * * [simplify]: Extracting #5: cost 140 inf + 167 320.357 * * [simplify]: Extracting #6: cost 195 inf + 1717 320.359 * * [simplify]: Extracting #7: cost 186 inf + 3509 320.365 * * [simplify]: Extracting #8: cost 121 inf + 15913 320.377 * * [simplify]: Extracting #9: cost 71 inf + 33831 320.402 * * [simplify]: Extracting #10: cost 13 inf + 73393 320.433 * * [simplify]: Extracting #11: cost 0 inf + 83799 320.463 * * [simplify]: Extracting #12: cost 0 inf + 83279 320.479 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 320.480 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 320.480 * * * * [progress]: [ 918 / 5906 ] simplifiying candidate # 320.480 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 320.481 * * [simplify]: iters left: 6 (48 enodes) 320.502 * * [simplify]: iters left: 5 (227 enodes) 320.587 * * [simplify]: Extracting #0: cost 1 inf + 0 320.587 * * [simplify]: Extracting #1: cost 3 inf + 0 320.587 * * [simplify]: Extracting #2: cost 10 inf + 0 320.587 * * [simplify]: Extracting #3: cost 62 inf + 0 320.588 * * [simplify]: Extracting #4: cost 115 inf + 42 320.588 * * [simplify]: Extracting #5: cost 161 inf + 207 320.589 * * [simplify]: Extracting #6: cost 216 inf + 2123 320.590 * * [simplify]: Extracting #7: cost 196 inf + 6996 320.593 * * [simplify]: Extracting #8: cost 144 inf + 15642 320.596 * * [simplify]: Extracting #9: cost 102 inf + 24669 320.606 * * [simplify]: Extracting #10: cost 57 inf + 48181 320.633 * * [simplify]: Extracting #11: cost 8 inf + 87236 320.663 * * [simplify]: Extracting #12: cost 0 inf + 97055 320.683 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 320.683 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 320.683 * * * * [progress]: [ 919 / 5906 ] simplifiying candidate # 320.684 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 320.684 * * [simplify]: iters left: 6 (43 enodes) 320.695 * * [simplify]: iters left: 5 (199 enodes) 320.735 * * [simplify]: Extracting #0: cost 1 inf + 0 320.735 * * [simplify]: Extracting #1: cost 3 inf + 0 320.735 * * [simplify]: Extracting #2: cost 10 inf + 0 320.736 * * [simplify]: Extracting #3: cost 54 inf + 0 320.736 * * [simplify]: Extracting #4: cost 95 inf + 86 320.736 * * [simplify]: Extracting #5: cost 121 inf + 1432 320.737 * * [simplify]: Extracting #6: cost 181 inf + 2932 320.738 * * [simplify]: Extracting #7: cost 184 inf + 3303 320.741 * * [simplify]: Extracting #8: cost 125 inf + 14368 320.747 * * [simplify]: Extracting #9: cost 62 inf + 36321 320.768 * * [simplify]: Extracting #10: cost 16 inf + 67628 320.801 * * [simplify]: Extracting #11: cost 3 inf + 74459 320.821 * * [simplify]: Extracting #12: cost 0 inf + 78374 320.840 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (+ phi2 phi1))))) 320.840 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 320.841 * * * * [progress]: [ 920 / 5906 ] simplifiying candidate # 320.841 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 320.842 * * [simplify]: iters left: 6 (48 enodes) 320.860 * * [simplify]: iters left: 5 (227 enodes) 320.920 * * [simplify]: Extracting #0: cost 1 inf + 0 320.920 * * [simplify]: Extracting #1: cost 3 inf + 0 320.920 * * [simplify]: Extracting #2: cost 10 inf + 0 320.920 * * [simplify]: Extracting #3: cost 62 inf + 0 320.921 * * [simplify]: Extracting #4: cost 115 inf + 42 320.921 * * [simplify]: Extracting #5: cost 160 inf + 249 320.923 * * [simplify]: Extracting #6: cost 218 inf + 1880 320.926 * * [simplify]: Extracting #7: cost 194 inf + 8704 320.930 * * [simplify]: Extracting #8: cost 144 inf + 15813 320.941 * * [simplify]: Extracting #9: cost 103 inf + 24405 320.955 * * [simplify]: Extracting #10: cost 56 inf + 48846 320.984 * * [simplify]: Extracting #11: cost 8 inf + 87956 321.009 * * [simplify]: Extracting #12: cost 0 inf + 97855 321.029 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 321.029 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 321.030 * * * * [progress]: [ 921 / 5906 ] simplifiying candidate # 321.030 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 321.031 * * [simplify]: iters left: 6 (43 enodes) 321.053 * * [simplify]: iters left: 5 (199 enodes) 321.107 * * [simplify]: Extracting #0: cost 1 inf + 0 321.107 * * [simplify]: Extracting #1: cost 3 inf + 0 321.107 * * [simplify]: Extracting #2: cost 10 inf + 0 321.107 * * [simplify]: Extracting #3: cost 53 inf + 0 321.107 * * [simplify]: Extracting #4: cost 96 inf + 44 321.108 * * [simplify]: Extracting #5: cost 125 inf + 1105 321.109 * * [simplify]: Extracting #6: cost 181 inf + 2932 321.110 * * [simplify]: Extracting #7: cost 183 inf + 3384 321.112 * * [simplify]: Extracting #8: cost 124 inf + 14610 321.125 * * [simplify]: Extracting #9: cost 57 inf + 40894 321.139 * * [simplify]: Extracting #10: cost 16 inf + 67089 321.154 * * [simplify]: Extracting #11: cost 3 inf + 74539 321.182 * * [simplify]: Extracting #12: cost 0 inf + 78614 321.216 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (+ phi2 phi1))))) 321.216 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 321.217 * * * * [progress]: [ 922 / 5906 ] simplifiying candidate # 321.217 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 321.218 * * [simplify]: iters left: 6 (52 enodes) 321.240 * * [simplify]: iters left: 5 (250 enodes) 321.316 * * [simplify]: Extracting #0: cost 1 inf + 0 321.316 * * [simplify]: Extracting #1: cost 3 inf + 0 321.316 * * [simplify]: Extracting #2: cost 6 inf + 0 321.316 * * [simplify]: Extracting #3: cost 53 inf + 0 321.317 * * [simplify]: Extracting #4: cost 118 inf + 0 321.318 * * [simplify]: Extracting #5: cost 186 inf + 0 321.319 * * [simplify]: Extracting #6: cost 264 inf + 1688 321.323 * * [simplify]: Extracting #7: cost 219 inf + 10048 321.332 * * [simplify]: Extracting #8: cost 121 inf + 30541 321.348 * * [simplify]: Extracting #9: cost 67 inf + 50792 321.366 * * [simplify]: Extracting #10: cost 7 inf + 102545 321.395 * * [simplify]: Extracting #11: cost 1 inf + 108613 321.438 * * [simplify]: Extracting #12: cost 0 inf + 110438 321.462 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 321.462 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 321.463 * * * * [progress]: [ 923 / 5906 ] simplifiying candidate # 321.463 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 321.464 * * [simplify]: iters left: 6 (53 enodes) 321.485 * * [simplify]: iters left: 5 (259 enodes) 321.562 * * [simplify]: Extracting #0: cost 1 inf + 0 321.562 * * [simplify]: Extracting #1: cost 3 inf + 0 321.562 * * [simplify]: Extracting #2: cost 6 inf + 0 321.563 * * [simplify]: Extracting #3: cost 56 inf + 0 321.563 * * [simplify]: Extracting #4: cost 140 inf + 0 321.564 * * [simplify]: Extracting #5: cost 199 inf + 44 321.565 * * [simplify]: Extracting #6: cost 246 inf + 3956 321.567 * * [simplify]: Extracting #7: cost 211 inf + 11195 321.572 * * [simplify]: Extracting #8: cost 127 inf + 27726 321.581 * * [simplify]: Extracting #9: cost 67 inf + 51343 321.599 * * [simplify]: Extracting #10: cost 10 inf + 98883 321.633 * * [simplify]: Extracting #11: cost 0 inf + 109710 321.676 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 321.676 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 321.677 * * * * [progress]: [ 924 / 5906 ] simplifiying candidate # 321.677 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 321.678 * * [simplify]: iters left: 6 (53 enodes) 321.693 * * [simplify]: iters left: 5 (259 enodes) 321.763 * * [simplify]: Extracting #0: cost 1 inf + 0 321.763 * * [simplify]: Extracting #1: cost 3 inf + 0 321.763 * * [simplify]: Extracting #2: cost 6 inf + 0 321.763 * * [simplify]: Extracting #3: cost 58 inf + 0 321.763 * * [simplify]: Extracting #4: cost 138 inf + 0 321.764 * * [simplify]: Extracting #5: cost 195 inf + 44 321.765 * * [simplify]: Extracting #6: cost 238 inf + 5162 321.768 * * [simplify]: Extracting #7: cost 206 inf + 12661 321.775 * * [simplify]: Extracting #8: cost 135 inf + 27667 321.783 * * [simplify]: Extracting #9: cost 81 inf + 47763 321.793 * * [simplify]: Extracting #10: cost 50 inf + 60372 321.806 * * [simplify]: Extracting #11: cost 33 inf + 72037 321.824 * * [simplify]: Extracting #12: cost 7 inf + 98727 321.864 * * [simplify]: Extracting #13: cost 0 inf + 107342 321.902 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 321.902 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 321.903 * * * * [progress]: [ 925 / 5906 ] simplifiying candidate # 321.903 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 321.904 * * [simplify]: iters left: 6 (47 enodes) 321.926 * * [simplify]: iters left: 5 (222 enodes) 321.999 * * [simplify]: Extracting #0: cost 1 inf + 0 321.999 * * [simplify]: Extracting #1: cost 3 inf + 0 321.999 * * [simplify]: Extracting #2: cost 6 inf + 0 322.000 * * [simplify]: Extracting #3: cost 50 inf + 0 322.000 * * [simplify]: Extracting #4: cost 107 inf + 0 322.001 * * [simplify]: Extracting #5: cost 144 inf + 44 322.002 * * [simplify]: Extracting #6: cost 208 inf + 1234 322.005 * * [simplify]: Extracting #7: cost 194 inf + 3675 322.010 * * [simplify]: Extracting #8: cost 135 inf + 15389 322.025 * * [simplify]: Extracting #9: cost 82 inf + 32576 322.037 * * [simplify]: Extracting #10: cost 32 inf + 64792 322.055 * * [simplify]: Extracting #11: cost 2 inf + 86317 322.092 * * [simplify]: Extracting #12: cost 0 inf + 87283 322.129 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 322.129 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 322.131 * * * * [progress]: [ 926 / 5906 ] simplifiying candidate # 322.131 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 322.132 * * [simplify]: iters left: 6 (52 enodes) 322.162 * * [simplify]: iters left: 5 (250 enodes) 322.235 * * [simplify]: Extracting #0: cost 1 inf + 0 322.235 * * [simplify]: Extracting #1: cost 3 inf + 0 322.235 * * [simplify]: Extracting #2: cost 10 inf + 0 322.235 * * [simplify]: Extracting #3: cost 66 inf + 0 322.236 * * [simplify]: Extracting #4: cost 126 inf + 1 322.236 * * [simplify]: Extracting #5: cost 167 inf + 207 322.238 * * [simplify]: Extracting #6: cost 235 inf + 1879 322.241 * * [simplify]: Extracting #7: cost 211 inf + 6949 322.248 * * [simplify]: Extracting #8: cost 140 inf + 19357 322.261 * * [simplify]: Extracting #9: cost 80 inf + 44342 322.293 * * [simplify]: Extracting #10: cost 12 inf + 97250 322.336 * * [simplify]: Extracting #11: cost 5 inf + 104301 322.378 * * [simplify]: Extracting #12: cost 0 inf + 108782 322.420 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) 322.420 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 322.421 * * * * [progress]: [ 927 / 5906 ] simplifiying candidate # 322.421 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 322.421 * * [simplify]: iters left: 6 (47 enodes) 322.433 * * [simplify]: iters left: 5 (223 enodes) 322.503 * * [simplify]: Extracting #0: cost 1 inf + 0 322.503 * * [simplify]: Extracting #1: cost 3 inf + 0 322.503 * * [simplify]: Extracting #2: cost 10 inf + 0 322.503 * * [simplify]: Extracting #3: cost 57 inf + 0 322.504 * * [simplify]: Extracting #4: cost 105 inf + 44 322.505 * * [simplify]: Extracting #5: cost 130 inf + 1346 322.507 * * [simplify]: Extracting #6: cost 197 inf + 2972 322.509 * * [simplify]: Extracting #7: cost 198 inf + 3425 322.512 * * [simplify]: Extracting #8: cost 166 inf + 7490 322.519 * * [simplify]: Extracting #9: cost 117 inf + 18907 322.535 * * [simplify]: Extracting #10: cost 47 inf + 48067 322.561 * * [simplify]: Extracting #11: cost 5 inf + 79254 322.594 * * [simplify]: Extracting #12: cost 0 inf + 86179 322.625 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (+ phi2 phi1))))) 322.625 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 322.626 * * * * [progress]: [ 928 / 5906 ] simplifiying candidate # 322.627 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 322.627 * * [simplify]: iters left: 6 (52 enodes) 322.641 * * [simplify]: iters left: 5 (250 enodes) 322.726 * * [simplify]: Extracting #0: cost 1 inf + 0 322.726 * * [simplify]: Extracting #1: cost 3 inf + 0 322.726 * * [simplify]: Extracting #2: cost 10 inf + 0 322.726 * * [simplify]: Extracting #3: cost 66 inf + 0 322.727 * * [simplify]: Extracting #4: cost 126 inf + 1 322.728 * * [simplify]: Extracting #5: cost 167 inf + 207 322.730 * * [simplify]: Extracting #6: cost 232 inf + 2241 322.733 * * [simplify]: Extracting #7: cost 212 inf + 6657 322.739 * * [simplify]: Extracting #8: cost 151 inf + 16438 322.746 * * [simplify]: Extracting #9: cost 118 inf + 26303 322.754 * * [simplify]: Extracting #10: cost 64 inf + 52870 322.772 * * [simplify]: Extracting #11: cost 8 inf + 100186 322.809 * * [simplify]: Extracting #12: cost 1 inf + 107757 322.832 * * [simplify]: Extracting #13: cost 0 inf + 109582 322.873 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) 322.873 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 322.874 * * * * [progress]: [ 929 / 5906 ] simplifiying candidate # 322.874 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 322.875 * * [simplify]: iters left: 6 (47 enodes) 322.899 * * [simplify]: iters left: 5 (223 enodes) 322.963 * * [simplify]: Extracting #0: cost 1 inf + 0 322.963 * * [simplify]: Extracting #1: cost 3 inf + 0 322.963 * * [simplify]: Extracting #2: cost 10 inf + 0 322.963 * * [simplify]: Extracting #3: cost 56 inf + 0 322.964 * * [simplify]: Extracting #4: cost 104 inf + 86 322.964 * * [simplify]: Extracting #5: cost 124 inf + 1918 322.965 * * [simplify]: Extracting #6: cost 197 inf + 2932 322.966 * * [simplify]: Extracting #7: cost 199 inf + 3304 322.968 * * [simplify]: Extracting #8: cost 167 inf + 7369 322.975 * * [simplify]: Extracting #9: cost 119 inf + 18401 322.991 * * [simplify]: Extracting #10: cost 46 inf + 48749 323.017 * * [simplify]: Extracting #11: cost 4 inf + 81119 323.035 * * [simplify]: Extracting #12: cost 0 inf + 86499 323.059 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (+ phi2 phi1))))) 323.059 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 323.061 * * * * [progress]: [ 930 / 5906 ] simplifiying candidate # 323.061 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 323.062 * * [simplify]: iters left: 6 (52 enodes) 323.090 * * [simplify]: iters left: 5 (254 enodes) 323.177 * * [simplify]: Extracting #0: cost 1 inf + 0 323.177 * * [simplify]: Extracting #1: cost 3 inf + 0 323.177 * * [simplify]: Extracting #2: cost 6 inf + 0 323.177 * * [simplify]: Extracting #3: cost 56 inf + 0 323.177 * * [simplify]: Extracting #4: cost 130 inf + 0 323.178 * * [simplify]: Extracting #5: cost 210 inf + 0 323.179 * * [simplify]: Extracting #6: cost 292 inf + 1145 323.180 * * [simplify]: Extracting #7: cost 256 inf + 7920 323.185 * * [simplify]: Extracting #8: cost 151 inf + 29864 323.200 * * [simplify]: Extracting #9: cost 64 inf + 62419 323.223 * * [simplify]: Extracting #10: cost 8 inf + 112736 323.259 * * [simplify]: Extracting #11: cost 1 inf + 121791 323.295 * * [simplify]: Extracting #12: cost 0 inf + 123816 323.330 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 323.330 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 323.331 * * * * [progress]: [ 931 / 5906 ] simplifiying candidate # 323.332 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 323.332 * * [simplify]: iters left: 6 (53 enodes) 323.348 * * [simplify]: iters left: 5 (263 enodes) 323.429 * * [simplify]: Extracting #0: cost 1 inf + 0 323.429 * * [simplify]: Extracting #1: cost 3 inf + 0 323.429 * * [simplify]: Extracting #2: cost 6 inf + 0 323.430 * * [simplify]: Extracting #3: cost 60 inf + 0 323.430 * * [simplify]: Extracting #4: cost 153 inf + 0 323.430 * * [simplify]: Extracting #5: cost 224 inf + 44 323.432 * * [simplify]: Extracting #6: cost 269 inf + 4722 323.435 * * [simplify]: Extracting #7: cost 238 inf + 11448 323.439 * * [simplify]: Extracting #8: cost 171 inf + 24966 323.449 * * [simplify]: Extracting #9: cost 107 inf + 47992 323.461 * * [simplify]: Extracting #10: cost 54 inf + 72426 323.488 * * [simplify]: Extracting #11: cost 8 inf + 118873 323.526 * * [simplify]: Extracting #12: cost 0 inf + 129113 323.552 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 323.552 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 323.552 * * * * [progress]: [ 932 / 5906 ] simplifiying candidate # 323.553 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 323.554 * * [simplify]: iters left: 6 (53 enodes) 323.583 * * [simplify]: iters left: 5 (263 enodes) 323.657 * * [simplify]: Extracting #0: cost 1 inf + 0 323.657 * * [simplify]: Extracting #1: cost 3 inf + 0 323.657 * * [simplify]: Extracting #2: cost 6 inf + 0 323.657 * * [simplify]: Extracting #3: cost 62 inf + 0 323.657 * * [simplify]: Extracting #4: cost 151 inf + 0 323.659 * * [simplify]: Extracting #5: cost 220 inf + 44 323.661 * * [simplify]: Extracting #6: cost 269 inf + 4315 323.663 * * [simplify]: Extracting #7: cost 230 inf + 12340 323.670 * * [simplify]: Extracting #8: cost 167 inf + 23752 323.678 * * [simplify]: Extracting #9: cost 104 inf + 49273 323.699 * * [simplify]: Extracting #10: cost 11 inf + 117192 323.737 * * [simplify]: Extracting #11: cost 0 inf + 126785 323.771 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 323.771 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 323.772 * * * * [progress]: [ 933 / 5906 ] simplifiying candidate # 323.773 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 323.773 * * [simplify]: iters left: 6 (47 enodes) 323.800 * * [simplify]: iters left: 5 (227 enodes) 323.873 * * [simplify]: Extracting #0: cost 1 inf + 0 323.873 * * [simplify]: Extracting #1: cost 3 inf + 0 323.873 * * [simplify]: Extracting #2: cost 6 inf + 0 323.873 * * [simplify]: Extracting #3: cost 54 inf + 0 323.873 * * [simplify]: Extracting #4: cost 119 inf + 0 323.873 * * [simplify]: Extracting #5: cost 168 inf + 44 323.874 * * [simplify]: Extracting #6: cost 236 inf + 1233 323.876 * * [simplify]: Extracting #7: cost 219 inf + 4160 323.879 * * [simplify]: Extracting #8: cost 135 inf + 24052 323.889 * * [simplify]: Extracting #9: cost 79 inf + 44327 323.924 * * [simplify]: Extracting #10: cost 12 inf + 92253 323.960 * * [simplify]: Extracting #11: cost 1 inf + 101499 323.999 * * [simplify]: Extracting #12: cost 0 inf + 102524 324.039 * * [simplify]: Extracting #13: cost 0 inf + 102484 324.072 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 324.072 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 324.072 * * * * [progress]: [ 934 / 5906 ] simplifiying candidate # 324.073 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 324.073 * * [simplify]: iters left: 6 (52 enodes) 324.088 * * [simplify]: iters left: 5 (255 enodes) 324.155 * * [simplify]: Extracting #0: cost 1 inf + 0 324.155 * * [simplify]: Extracting #1: cost 3 inf + 0 324.155 * * [simplify]: Extracting #2: cost 10 inf + 0 324.155 * * [simplify]: Extracting #3: cost 74 inf + 0 324.155 * * [simplify]: Extracting #4: cost 137 inf + 1 324.156 * * [simplify]: Extracting #5: cost 189 inf + 248 324.157 * * [simplify]: Extracting #6: cost 259 inf + 2161 324.159 * * [simplify]: Extracting #7: cost 228 inf + 8279 324.164 * * [simplify]: Extracting #8: cost 151 inf + 24058 324.184 * * [simplify]: Extracting #9: cost 68 inf + 55072 324.208 * * [simplify]: Extracting #10: cost 34 inf + 77405 324.249 * * [simplify]: Extracting #11: cost 4 inf + 113075 324.297 * * [simplify]: Extracting #12: cost 0 inf + 119495 324.340 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 324.340 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 324.341 * * * * [progress]: [ 935 / 5906 ] simplifiying candidate # 324.341 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 324.341 * * [simplify]: iters left: 6 (47 enodes) 324.353 * * [simplify]: iters left: 5 (227 enodes) 324.408 * * [simplify]: Extracting #0: cost 1 inf + 0 324.408 * * [simplify]: Extracting #1: cost 3 inf + 0 324.408 * * [simplify]: Extracting #2: cost 10 inf + 0 324.408 * * [simplify]: Extracting #3: cost 66 inf + 0 324.409 * * [simplify]: Extracting #4: cost 117 inf + 44 324.409 * * [simplify]: Extracting #5: cost 154 inf + 1064 324.410 * * [simplify]: Extracting #6: cost 223 inf + 2972 324.412 * * [simplify]: Extracting #7: cost 222 inf + 3629 324.415 * * [simplify]: Extracting #8: cost 141 inf + 21297 324.432 * * [simplify]: Extracting #9: cost 61 inf + 54699 324.464 * * [simplify]: Extracting #10: cost 9 inf + 89549 324.501 * * [simplify]: Extracting #11: cost 1 inf + 97149 324.539 * * [simplify]: Extracting #12: cost 0 inf + 98974 324.576 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 324.576 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 324.576 * * * * [progress]: [ 936 / 5906 ] simplifiying candidate # 324.577 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 324.577 * * [simplify]: iters left: 6 (52 enodes) 324.590 * * [simplify]: iters left: 5 (255 enodes) 324.650 * * [simplify]: Extracting #0: cost 1 inf + 0 324.650 * * [simplify]: Extracting #1: cost 3 inf + 0 324.650 * * [simplify]: Extracting #2: cost 10 inf + 0 324.650 * * [simplify]: Extracting #3: cost 74 inf + 0 324.651 * * [simplify]: Extracting #4: cost 137 inf + 1 324.652 * * [simplify]: Extracting #5: cost 189 inf + 248 324.653 * * [simplify]: Extracting #6: cost 262 inf + 1395 324.656 * * [simplify]: Extracting #7: cost 237 inf + 6171 324.664 * * [simplify]: Extracting #8: cost 149 inf + 24810 324.681 * * [simplify]: Extracting #9: cost 68 inf + 55552 324.704 * * [simplify]: Extracting #10: cost 34 inf + 78365 324.727 * * [simplify]: Extracting #11: cost 4 inf + 114035 324.763 * * [simplify]: Extracting #12: cost 0 inf + 120455 324.793 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 324.793 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 324.794 * * * * [progress]: [ 937 / 5906 ] simplifiying candidate # 324.794 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 324.795 * * [simplify]: iters left: 6 (47 enodes) 324.818 * * [simplify]: iters left: 5 (227 enodes) 324.882 * * [simplify]: Extracting #0: cost 1 inf + 0 324.882 * * [simplify]: Extracting #1: cost 3 inf + 0 324.882 * * [simplify]: Extracting #2: cost 10 inf + 0 324.883 * * [simplify]: Extracting #3: cost 65 inf + 0 324.883 * * [simplify]: Extracting #4: cost 116 inf + 86 324.884 * * [simplify]: Extracting #5: cost 149 inf + 1594 324.886 * * [simplify]: Extracting #6: cost 223 inf + 2932 324.889 * * [simplify]: Extracting #7: cost 218 inf + 4197 324.895 * * [simplify]: Extracting #8: cost 143 inf + 20247 324.913 * * [simplify]: Extracting #9: cost 59 inf + 56587 324.944 * * [simplify]: Extracting #10: cost 9 inf + 89629 324.984 * * [simplify]: Extracting #11: cost 1 inf + 97549 325.024 * * [simplify]: Extracting #12: cost 0 inf + 99374 325.064 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 325.065 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 325.066 * * * * [progress]: [ 938 / 5906 ] simplifiying candidate # 325.066 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 325.067 * * [simplify]: iters left: 6 (50 enodes) 325.091 * * [simplify]: iters left: 5 (239 enodes) 325.174 * * [simplify]: Extracting #0: cost 1 inf + 0 325.174 * * [simplify]: Extracting #1: cost 3 inf + 0 325.174 * * [simplify]: Extracting #2: cost 6 inf + 0 325.174 * * [simplify]: Extracting #3: cost 57 inf + 0 325.174 * * [simplify]: Extracting #4: cost 128 inf + 0 325.175 * * [simplify]: Extracting #5: cost 198 inf + 0 325.175 * * [simplify]: Extracting #6: cost 268 inf + 3660 325.177 * * [simplify]: Extracting #7: cost 217 inf + 11113 325.181 * * [simplify]: Extracting #8: cost 159 inf + 20631 325.186 * * [simplify]: Extracting #9: cost 113 inf + 34997 325.195 * * [simplify]: Extracting #10: cost 61 inf + 58557 325.225 * * [simplify]: Extracting #11: cost 10 inf + 104832 325.252 * * [simplify]: Extracting #12: cost 1 inf + 114937 325.276 * * [simplify]: Extracting #13: cost 0 inf + 116762 325.322 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 325.322 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 325.323 * * * * [progress]: [ 939 / 5906 ] simplifiying candidate # 325.324 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 325.324 * * [simplify]: iters left: 6 (51 enodes) 325.349 * * [simplify]: iters left: 5 (248 enodes) 325.439 * * [simplify]: Extracting #0: cost 1 inf + 0 325.439 * * [simplify]: Extracting #1: cost 3 inf + 0 325.439 * * [simplify]: Extracting #2: cost 6 inf + 0 325.439 * * [simplify]: Extracting #3: cost 61 inf + 0 325.440 * * [simplify]: Extracting #4: cost 151 inf + 0 325.441 * * [simplify]: Extracting #5: cost 212 inf + 44 325.443 * * [simplify]: Extracting #6: cost 259 inf + 3345 325.448 * * [simplify]: Extracting #7: cost 214 inf + 12612 325.456 * * [simplify]: Extracting #8: cost 156 inf + 22861 325.468 * * [simplify]: Extracting #9: cost 111 inf + 38678 325.488 * * [simplify]: Extracting #10: cost 56 inf + 64019 325.527 * * [simplify]: Extracting #11: cost 12 inf + 103119 325.555 * * [simplify]: Extracting #12: cost 1 inf + 115114 325.587 * * [simplify]: Extracting #13: cost 0 inf + 116939 325.611 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 325.611 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 325.612 * * * * [progress]: [ 940 / 5906 ] simplifiying candidate # 325.612 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 325.613 * * [simplify]: iters left: 6 (51 enodes) 325.626 * * [simplify]: iters left: 5 (248 enodes) 325.725 * * [simplify]: Extracting #0: cost 1 inf + 0 325.725 * * [simplify]: Extracting #1: cost 3 inf + 0 325.725 * * [simplify]: Extracting #2: cost 6 inf + 0 325.726 * * [simplify]: Extracting #3: cost 63 inf + 0 325.726 * * [simplify]: Extracting #4: cost 149 inf + 0 325.727 * * [simplify]: Extracting #5: cost 208 inf + 44 325.730 * * [simplify]: Extracting #6: cost 253 inf + 3830 325.735 * * [simplify]: Extracting #7: cost 214 inf + 12242 325.743 * * [simplify]: Extracting #8: cost 150 inf + 23772 325.758 * * [simplify]: Extracting #9: cost 102 inf + 44181 325.778 * * [simplify]: Extracting #10: cost 57 inf + 63906 325.820 * * [simplify]: Extracting #11: cost 19 inf + 96456 325.863 * * [simplify]: Extracting #12: cost 1 inf + 115346 325.887 * * [simplify]: Extracting #13: cost 0 inf + 117251 325.918 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 325.918 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 325.919 * * * * [progress]: [ 941 / 5906 ] simplifiying candidate # 325.919 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 325.920 * * [simplify]: iters left: 6 (45 enodes) 325.931 * * [simplify]: iters left: 5 (212 enodes) 325.984 * * [simplify]: Extracting #0: cost 1 inf + 0 325.984 * * [simplify]: Extracting #1: cost 3 inf + 0 325.984 * * [simplify]: Extracting #2: cost 6 inf + 0 325.984 * * [simplify]: Extracting #3: cost 55 inf + 0 325.984 * * [simplify]: Extracting #4: cost 117 inf + 0 325.985 * * [simplify]: Extracting #5: cost 155 inf + 85 325.986 * * [simplify]: Extracting #6: cost 217 inf + 1032 325.988 * * [simplify]: Extracting #7: cost 211 inf + 2538 325.992 * * [simplify]: Extracting #8: cost 167 inf + 8586 325.998 * * [simplify]: Extracting #9: cost 116 inf + 25300 326.013 * * [simplify]: Extracting #10: cost 15 inf + 86755 326.044 * * [simplify]: Extracting #11: cost 0 inf + 95190 326.081 * * [simplify]: Extracting #12: cost 0 inf + 94750 326.118 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) 326.118 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 326.119 * * * * [progress]: [ 942 / 5906 ] simplifiying candidate # 326.120 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 326.120 * * [simplify]: iters left: 6 (50 enodes) 326.139 * * [simplify]: iters left: 5 (240 enodes) 326.204 * * [simplify]: Extracting #0: cost 1 inf + 0 326.204 * * [simplify]: Extracting #1: cost 3 inf + 0 326.204 * * [simplify]: Extracting #2: cost 10 inf + 0 326.204 * * [simplify]: Extracting #3: cost 75 inf + 0 326.205 * * [simplify]: Extracting #4: cost 142 inf + 1 326.205 * * [simplify]: Extracting #5: cost 185 inf + 207 326.206 * * [simplify]: Extracting #6: cost 245 inf + 2363 326.208 * * [simplify]: Extracting #7: cost 209 inf + 9068 326.211 * * [simplify]: Extracting #8: cost 139 inf + 26300 326.219 * * [simplify]: Extracting #9: cost 81 inf + 49948 326.236 * * [simplify]: Extracting #10: cost 16 inf + 98917 326.258 * * [simplify]: Extracting #11: cost 1 inf + 112551 326.301 * * [simplify]: Extracting #12: cost 0 inf + 114176 326.324 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))))))) 326.324 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 326.324 * * * * [progress]: [ 943 / 5906 ] simplifiying candidate # 326.325 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 326.325 * * [simplify]: iters left: 6 (45 enodes) 326.336 * * [simplify]: iters left: 5 (212 enodes) 326.418 * * [simplify]: Extracting #0: cost 1 inf + 0 326.418 * * [simplify]: Extracting #1: cost 3 inf + 0 326.418 * * [simplify]: Extracting #2: cost 10 inf + 0 326.418 * * [simplify]: Extracting #3: cost 67 inf + 0 326.419 * * [simplify]: Extracting #4: cost 123 inf + 2 326.419 * * [simplify]: Extracting #5: cost 152 inf + 698 326.420 * * [simplify]: Extracting #6: cost 211 inf + 2932 326.421 * * [simplify]: Extracting #7: cost 214 inf + 3302 326.424 * * [simplify]: Extracting #8: cost 178 inf + 7734 326.428 * * [simplify]: Extracting #9: cost 120 inf + 25320 326.437 * * [simplify]: Extracting #10: cost 35 inf + 64250 326.460 * * [simplify]: Extracting #11: cost 1 inf + 93990 326.496 * * [simplify]: Extracting #12: cost 0 inf + 95575 326.531 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))))) 326.531 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 326.532 * * * * [progress]: [ 944 / 5906 ] simplifiying candidate # 326.532 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 326.533 * * [simplify]: iters left: 6 (50 enodes) 326.562 * * [simplify]: iters left: 5 (240 enodes) 326.657 * * [simplify]: Extracting #0: cost 1 inf + 0 326.657 * * [simplify]: Extracting #1: cost 3 inf + 0 326.657 * * [simplify]: Extracting #2: cost 10 inf + 0 326.658 * * [simplify]: Extracting #3: cost 75 inf + 0 326.658 * * [simplify]: Extracting #4: cost 142 inf + 1 326.659 * * [simplify]: Extracting #5: cost 185 inf + 207 326.661 * * [simplify]: Extracting #6: cost 247 inf + 1799 326.662 * * [simplify]: Extracting #7: cost 215 inf + 7817 326.666 * * [simplify]: Extracting #8: cost 140 inf + 26178 326.676 * * [simplify]: Extracting #9: cost 83 inf + 49041 326.696 * * [simplify]: Extracting #10: cost 16 inf + 99797 326.731 * * [simplify]: Extracting #11: cost 1 inf + 113511 326.755 * * [simplify]: Extracting #12: cost 0 inf + 115136 326.790 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))))))) 326.790 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 326.791 * * * * [progress]: [ 945 / 5906 ] simplifiying candidate # 326.791 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 326.791 * * [simplify]: iters left: 6 (45 enodes) 326.803 * * [simplify]: iters left: 5 (212 enodes) 326.860 * * [simplify]: Extracting #0: cost 1 inf + 0 326.860 * * [simplify]: Extracting #1: cost 3 inf + 0 326.860 * * [simplify]: Extracting #2: cost 10 inf + 0 326.860 * * [simplify]: Extracting #3: cost 66 inf + 0 326.861 * * [simplify]: Extracting #4: cost 123 inf + 2 326.862 * * [simplify]: Extracting #5: cost 155 inf + 333 326.864 * * [simplify]: Extracting #6: cost 216 inf + 2082 326.866 * * [simplify]: Extracting #7: cost 212 inf + 3426 326.869 * * [simplify]: Extracting #8: cost 180 inf + 7410 326.876 * * [simplify]: Extracting #9: cost 122 inf + 24371 326.887 * * [simplify]: Extracting #10: cost 36 inf + 63885 326.905 * * [simplify]: Extracting #11: cost 1 inf + 94390 326.940 * * [simplify]: Extracting #12: cost 0 inf + 95975 326.976 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 326.976 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 326.977 * * * * [progress]: [ 946 / 5906 ] simplifiying candidate # 326.977 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 326.978 * * [simplify]: iters left: 6 (51 enodes) 326.996 * * [simplify]: iters left: 5 (243 enodes) 327.059 * * [simplify]: Extracting #0: cost 1 inf + 0 327.059 * * [simplify]: Extracting #1: cost 3 inf + 0 327.059 * * [simplify]: Extracting #2: cost 6 inf + 0 327.059 * * [simplify]: Extracting #3: cost 56 inf + 0 327.059 * * [simplify]: Extracting #4: cost 130 inf + 0 327.060 * * [simplify]: Extracting #5: cost 207 inf + 0 327.060 * * [simplify]: Extracting #6: cost 269 inf + 1913 327.065 * * [simplify]: Extracting #7: cost 201 inf + 13660 327.076 * * [simplify]: Extracting #8: cost 122 inf + 38849 327.096 * * [simplify]: Extracting #9: cost 60 inf + 61665 327.121 * * [simplify]: Extracting #10: cost 33 inf + 82100 327.162 * * [simplify]: Extracting #11: cost 3 inf + 117490 327.211 * * [simplify]: Extracting #12: cost 0 inf + 121925 327.257 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))))) 327.257 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 327.258 * * * * [progress]: [ 947 / 5906 ] simplifiying candidate # 327.259 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 327.259 * * [simplify]: iters left: 6 (52 enodes) 327.285 * * [simplify]: iters left: 5 (252 enodes) 327.388 * * [simplify]: Extracting #0: cost 1 inf + 0 327.389 * * [simplify]: Extracting #1: cost 3 inf + 0 327.389 * * [simplify]: Extracting #2: cost 6 inf + 0 327.389 * * [simplify]: Extracting #3: cost 60 inf + 0 327.389 * * [simplify]: Extracting #4: cost 153 inf + 0 327.390 * * [simplify]: Extracting #5: cost 221 inf + 44 327.393 * * [simplify]: Extracting #6: cost 248 inf + 5178 327.400 * * [simplify]: Extracting #7: cost 182 inf + 18248 327.412 * * [simplify]: Extracting #8: cost 133 inf + 36926 327.429 * * [simplify]: Extracting #9: cost 87 inf + 56456 327.450 * * [simplify]: Extracting #10: cost 50 inf + 71052 327.487 * * [simplify]: Extracting #11: cost 7 inf + 117767 327.527 * * [simplify]: Extracting #12: cost 1 inf + 124797 327.575 * * [simplify]: Extracting #13: cost 0 inf + 126942 327.624 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))))))) 327.624 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 327.625 * * * * [progress]: [ 948 / 5906 ] simplifiying candidate # 327.626 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 327.627 * * [simplify]: iters left: 6 (52 enodes) 327.654 * * [simplify]: iters left: 5 (252 enodes) 327.737 * * [simplify]: Extracting #0: cost 1 inf + 0 327.737 * * [simplify]: Extracting #1: cost 3 inf + 0 327.737 * * [simplify]: Extracting #2: cost 6 inf + 0 327.738 * * [simplify]: Extracting #3: cost 62 inf + 0 327.738 * * [simplify]: Extracting #4: cost 151 inf + 0 327.738 * * [simplify]: Extracting #5: cost 217 inf + 44 327.740 * * [simplify]: Extracting #6: cost 239 inf + 6665 327.743 * * [simplify]: Extracting #7: cost 181 inf + 18162 327.751 * * [simplify]: Extracting #8: cost 103 inf + 45362 327.770 * * [simplify]: Extracting #9: cost 54 inf + 67424 327.807 * * [simplify]: Extracting #10: cost 10 inf + 112684 327.838 * * [simplify]: Extracting #11: cost 1 inf + 122469 327.870 * * [simplify]: Extracting #12: cost 0 inf + 124614 327.895 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 327.895 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 327.896 * * * * [progress]: [ 949 / 5906 ] simplifiying candidate # 327.896 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 327.896 * * [simplify]: iters left: 6 (46 enodes) 327.922 * * [simplify]: iters left: 5 (216 enodes) 328.006 * * [simplify]: Extracting #0: cost 1 inf + 0 328.006 * * [simplify]: Extracting #1: cost 3 inf + 0 328.006 * * [simplify]: Extracting #2: cost 6 inf + 0 328.006 * * [simplify]: Extracting #3: cost 54 inf + 0 328.006 * * [simplify]: Extracting #4: cost 119 inf + 0 328.007 * * [simplify]: Extracting #5: cost 164 inf + 86 328.009 * * [simplify]: Extracting #6: cost 217 inf + 1845 328.012 * * [simplify]: Extracting #7: cost 194 inf + 5710 328.019 * * [simplify]: Extracting #8: cost 133 inf + 21946 328.032 * * [simplify]: Extracting #9: cost 56 inf + 52798 328.050 * * [simplify]: Extracting #10: cost 11 inf + 89104 328.071 * * [simplify]: Extracting #11: cost 0 inf + 99433 328.110 * * [simplify]: Extracting #12: cost 0 inf + 99113 328.131 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ phi2 phi1)))))) 328.131 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 328.131 * * * * [progress]: [ 950 / 5906 ] simplifiying candidate # 328.132 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 328.132 * * [simplify]: iters left: 6 (51 enodes) 328.144 * * [simplify]: iters left: 5 (244 enodes) 328.215 * * [simplify]: Extracting #0: cost 1 inf + 0 328.215 * * [simplify]: Extracting #1: cost 3 inf + 0 328.215 * * [simplify]: Extracting #2: cost 10 inf + 0 328.215 * * [simplify]: Extracting #3: cost 74 inf + 0 328.215 * * [simplify]: Extracting #4: cost 137 inf + 1 328.216 * * [simplify]: Extracting #5: cost 186 inf + 249 328.217 * * [simplify]: Extracting #6: cost 238 inf + 2294 328.219 * * [simplify]: Extracting #7: cost 188 inf + 11732 328.222 * * [simplify]: Extracting #8: cost 145 inf + 24296 328.229 * * [simplify]: Extracting #9: cost 95 inf + 44660 328.240 * * [simplify]: Extracting #10: cost 57 inf + 59579 328.258 * * [simplify]: Extracting #11: cost 16 inf + 96204 328.282 * * [simplify]: Extracting #12: cost 1 inf + 114419 328.306 * * [simplify]: Extracting #13: cost 0 inf + 116084 328.343 * * [simplify]: Extracting #14: cost 0 inf + 116044 328.373 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1)))))) 328.373 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 328.374 * * * * [progress]: [ 951 / 5906 ] simplifiying candidate # 328.374 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 328.375 * * [simplify]: iters left: 6 (46 enodes) 328.399 * * [simplify]: iters left: 5 (216 enodes) 328.479 * * [simplify]: Extracting #0: cost 1 inf + 0 328.479 * * [simplify]: Extracting #1: cost 3 inf + 0 328.479 * * [simplify]: Extracting #2: cost 10 inf + 0 328.479 * * [simplify]: Extracting #3: cost 66 inf + 0 328.480 * * [simplify]: Extracting #4: cost 117 inf + 44 328.481 * * [simplify]: Extracting #5: cost 154 inf + 618 328.483 * * [simplify]: Extracting #6: cost 209 inf + 2814 328.486 * * [simplify]: Extracting #7: cost 186 inf + 6321 328.493 * * [simplify]: Extracting #8: cost 109 inf + 28717 328.502 * * [simplify]: Extracting #9: cost 48 inf + 57419 328.522 * * [simplify]: Extracting #10: cost 4 inf + 92009 328.553 * * [simplify]: Extracting #11: cost 0 inf + 96003 328.591 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1))))))) 328.591 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 328.592 * * * * [progress]: [ 952 / 5906 ] simplifiying candidate # 328.593 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 328.593 * * [simplify]: iters left: 6 (51 enodes) 328.619 * * [simplify]: iters left: 5 (244 enodes) 328.706 * * [simplify]: Extracting #0: cost 1 inf + 0 328.706 * * [simplify]: Extracting #1: cost 3 inf + 0 328.706 * * [simplify]: Extracting #2: cost 10 inf + 0 328.706 * * [simplify]: Extracting #3: cost 74 inf + 0 328.707 * * [simplify]: Extracting #4: cost 137 inf + 1 328.707 * * [simplify]: Extracting #5: cost 187 inf + 207 328.708 * * [simplify]: Extracting #6: cost 239 inf + 2454 328.710 * * [simplify]: Extracting #7: cost 181 inf + 14151 328.715 * * [simplify]: Extracting #8: cost 143 inf + 25302 328.722 * * [simplify]: Extracting #9: cost 91 inf + 47680 328.736 * * [simplify]: Extracting #10: cost 48 inf + 66524 328.770 * * [simplify]: Extracting #11: cost 9 inf + 103619 328.800 * * [simplify]: Extracting #12: cost 1 inf + 114219 328.829 * * [simplify]: Extracting #13: cost 0 inf + 115844 328.853 * * [simplify]: Extracting #14: cost 0 inf + 115804 328.893 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1)))))) 328.894 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 328.895 * * * * [progress]: [ 953 / 5906 ] simplifiying candidate # 328.895 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 328.895 * * [simplify]: iters left: 6 (46 enodes) 328.907 * * [simplify]: iters left: 5 (216 enodes) 328.951 * * [simplify]: Extracting #0: cost 1 inf + 0 328.951 * * [simplify]: Extracting #1: cost 3 inf + 0 328.951 * * [simplify]: Extracting #2: cost 10 inf + 0 328.951 * * [simplify]: Extracting #3: cost 65 inf + 0 328.952 * * [simplify]: Extracting #4: cost 117 inf + 44 328.952 * * [simplify]: Extracting #5: cost 151 inf + 904 328.954 * * [simplify]: Extracting #6: cost 208 inf + 2976 328.957 * * [simplify]: Extracting #7: cost 188 inf + 6119 328.965 * * [simplify]: Extracting #8: cost 105 inf + 32168 328.985 * * [simplify]: Extracting #9: cost 38 inf + 64216 329.021 * * [simplify]: Extracting #10: cost 4 inf + 92769 329.042 * * [simplify]: Extracting #11: cost 0 inf + 96443 329.069 * * [simplify]: Extracting #12: cost 0 inf + 96403 329.089 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 329.089 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 329.090 * * * * [progress]: [ 954 / 5906 ] simplifiying candidate # 329.090 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 329.090 * * [simplify]: iters left: 6 (48 enodes) 329.107 * * [simplify]: iters left: 5 (230 enodes) 329.195 * * [simplify]: Extracting #0: cost 1 inf + 0 329.195 * * [simplify]: Extracting #1: cost 3 inf + 0 329.195 * * [simplify]: Extracting #2: cost 6 inf + 0 329.195 * * [simplify]: Extracting #3: cost 54 inf + 0 329.195 * * [simplify]: Extracting #4: cost 120 inf + 0 329.196 * * [simplify]: Extracting #5: cost 192 inf + 0 329.197 * * [simplify]: Extracting #6: cost 262 inf + 762 329.198 * * [simplify]: Extracting #7: cost 230 inf + 6457 329.201 * * [simplify]: Extracting #8: cost 140 inf + 24190 329.213 * * [simplify]: Extracting #9: cost 73 inf + 48306 329.245 * * [simplify]: Extracting #10: cost 17 inf + 92914 329.287 * * [simplify]: Extracting #11: cost 4 inf + 105328 329.309 * * [simplify]: Extracting #12: cost 0 inf + 109445 329.334 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 329.335 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 329.335 * * * * [progress]: [ 955 / 5906 ] simplifiying candidate # 329.335 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 329.336 * * [simplify]: iters left: 6 (49 enodes) 329.348 * * [simplify]: iters left: 5 (239 enodes) 329.426 * * [simplify]: Extracting #0: cost 1 inf + 0 329.426 * * [simplify]: Extracting #1: cost 3 inf + 0 329.426 * * [simplify]: Extracting #2: cost 6 inf + 0 329.426 * * [simplify]: Extracting #3: cost 58 inf + 0 329.427 * * [simplify]: Extracting #4: cost 143 inf + 0 329.427 * * [simplify]: Extracting #5: cost 205 inf + 85 329.429 * * [simplify]: Extracting #6: cost 236 inf + 5408 329.431 * * [simplify]: Extracting #7: cost 208 inf + 12027 329.435 * * [simplify]: Extracting #8: cost 159 inf + 20213 329.441 * * [simplify]: Extracting #9: cost 99 inf + 42070 329.462 * * [simplify]: Extracting #10: cost 35 inf + 76168 329.487 * * [simplify]: Extracting #11: cost 2 inf + 108052 329.518 * * [simplify]: Extracting #12: cost 0 inf + 110782 329.562 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (+ phi2 phi1)) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 329.562 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (+ phi2 phi1)) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 329.563 * * * * [progress]: [ 956 / 5906 ] simplifiying candidate # 329.564 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 329.564 * * [simplify]: iters left: 6 (49 enodes) 329.590 * * [simplify]: iters left: 5 (239 enodes) 329.685 * * [simplify]: Extracting #0: cost 1 inf + 0 329.685 * * [simplify]: Extracting #1: cost 3 inf + 0 329.685 * * [simplify]: Extracting #2: cost 6 inf + 0 329.685 * * [simplify]: Extracting #3: cost 60 inf + 0 329.685 * * [simplify]: Extracting #4: cost 141 inf + 0 329.686 * * [simplify]: Extracting #5: cost 200 inf + 166 329.687 * * [simplify]: Extracting #6: cost 224 inf + 7382 329.690 * * [simplify]: Extracting #7: cost 199 inf + 12475 329.694 * * [simplify]: Extracting #8: cost 126 inf + 30750 329.703 * * [simplify]: Extracting #9: cost 63 inf + 56350 329.731 * * [simplify]: Extracting #10: cost 18 inf + 93625 329.752 * * [simplify]: Extracting #11: cost 0 inf + 107094 329.794 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))))))) 329.794 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 329.795 * * * * [progress]: [ 957 / 5906 ] simplifiying candidate # 329.796 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 329.796 * * [simplify]: iters left: 6 (43 enodes) 329.808 * * [simplify]: iters left: 5 (203 enodes) 329.847 * * [simplify]: Extracting #0: cost 1 inf + 0 329.847 * * [simplify]: Extracting #1: cost 3 inf + 0 329.847 * * [simplify]: Extracting #2: cost 6 inf + 0 329.847 * * [simplify]: Extracting #3: cost 52 inf + 0 329.847 * * [simplify]: Extracting #4: cost 109 inf + 0 329.848 * * [simplify]: Extracting #5: cost 149 inf + 126 329.848 * * [simplify]: Extracting #6: cost 204 inf + 1517 329.850 * * [simplify]: Extracting #7: cost 196 inf + 3346 329.851 * * [simplify]: Extracting #8: cost 151 inf + 8954 329.855 * * [simplify]: Extracting #9: cost 101 inf + 25074 329.867 * * [simplify]: Extracting #10: cost 31 inf + 59338 329.881 * * [simplify]: Extracting #11: cost 6 inf + 78763 329.898 * * [simplify]: Extracting #12: cost 0 inf + 86313 329.915 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 329.915 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 329.916 * * * * [progress]: [ 958 / 5906 ] simplifiying candidate # 329.916 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 329.916 * * [simplify]: iters left: 6 (48 enodes) 329.929 * * [simplify]: iters left: 5 (231 enodes) 329.978 * * [simplify]: Extracting #0: cost 1 inf + 0 329.978 * * [simplify]: Extracting #1: cost 3 inf + 0 329.978 * * [simplify]: Extracting #2: cost 10 inf + 0 329.978 * * [simplify]: Extracting #3: cost 72 inf + 0 329.978 * * [simplify]: Extracting #4: cost 126 inf + 42 329.979 * * [simplify]: Extracting #5: cost 172 inf + 207 329.979 * * [simplify]: Extracting #6: cost 226 inf + 2245 329.981 * * [simplify]: Extracting #7: cost 212 inf + 6187 329.983 * * [simplify]: Extracting #8: cost 161 inf + 13908 329.988 * * [simplify]: Extracting #9: cost 96 inf + 35687 330.001 * * [simplify]: Extracting #10: cost 26 inf + 76297 330.020 * * [simplify]: Extracting #11: cost 2 inf + 101394 330.062 * * [simplify]: Extracting #12: cost 0 inf + 104204 330.091 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) 330.091 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 330.091 * * * * [progress]: [ 959 / 5906 ] simplifiying candidate # 330.092 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 330.092 * * [simplify]: iters left: 6 (43 enodes) 330.103 * * [simplify]: iters left: 5 (203 enodes) 330.146 * * [simplify]: Extracting #0: cost 1 inf + 0 330.147 * * [simplify]: Extracting #1: cost 3 inf + 0 330.147 * * [simplify]: Extracting #2: cost 10 inf + 0 330.147 * * [simplify]: Extracting #3: cost 64 inf + 0 330.147 * * [simplify]: Extracting #4: cost 106 inf + 86 330.147 * * [simplify]: Extracting #5: cost 135 inf + 986 330.148 * * [simplify]: Extracting #6: cost 192 inf + 2932 330.149 * * [simplify]: Extracting #7: cost 196 inf + 3221 330.152 * * [simplify]: Extracting #8: cost 121 inf + 18786 330.165 * * [simplify]: Extracting #9: cost 67 inf + 38635 330.185 * * [simplify]: Extracting #10: cost 27 inf + 62300 330.216 * * [simplify]: Extracting #11: cost 1 inf + 82858 330.250 * * [simplify]: Extracting #12: cost 0 inf + 84243 330.269 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))))))) 330.269 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 330.269 * * * * [progress]: [ 960 / 5906 ] simplifiying candidate # 330.269 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 330.270 * * [simplify]: iters left: 6 (48 enodes) 330.284 * * [simplify]: iters left: 5 (231 enodes) 330.359 * * [simplify]: Extracting #0: cost 1 inf + 0 330.359 * * [simplify]: Extracting #1: cost 3 inf + 0 330.359 * * [simplify]: Extracting #2: cost 10 inf + 0 330.359 * * [simplify]: Extracting #3: cost 72 inf + 0 330.360 * * [simplify]: Extracting #4: cost 126 inf + 42 330.360 * * [simplify]: Extracting #5: cost 171 inf + 249 330.361 * * [simplify]: Extracting #6: cost 224 inf + 2568 330.362 * * [simplify]: Extracting #7: cost 209 inf + 7044 330.365 * * [simplify]: Extracting #8: cost 163 inf + 13615 330.369 * * [simplify]: Extracting #9: cost 96 inf + 35846 330.385 * * [simplify]: Extracting #10: cost 26 inf + 77257 330.420 * * [simplify]: Extracting #11: cost 2 inf + 102354 330.448 * * [simplify]: Extracting #12: cost 0 inf + 105164 330.468 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) 330.468 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 330.469 * * * * [progress]: [ 961 / 5906 ] simplifiying candidate # 330.469 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 330.469 * * [simplify]: iters left: 6 (43 enodes) 330.489 * * [simplify]: iters left: 5 (203 enodes) 330.542 * * [simplify]: Extracting #0: cost 1 inf + 0 330.542 * * [simplify]: Extracting #1: cost 3 inf + 0 330.542 * * [simplify]: Extracting #2: cost 10 inf + 0 330.542 * * [simplify]: Extracting #3: cost 63 inf + 0 330.542 * * [simplify]: Extracting #4: cost 107 inf + 44 330.543 * * [simplify]: Extracting #5: cost 134 inf + 1228 330.545 * * [simplify]: Extracting #6: cost 192 inf + 2932 330.546 * * [simplify]: Extracting #7: cost 196 inf + 3221 330.549 * * [simplify]: Extracting #8: cost 118 inf + 19979 330.557 * * [simplify]: Extracting #9: cost 50 inf + 51077 330.574 * * [simplify]: Extracting #10: cost 8 inf + 82337 330.603 * * [simplify]: Extracting #11: cost 0 inf + 85123 330.638 * * [simplify]: Extracting #12: cost 0 inf + 84643 330.669 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) 330.669 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 330.670 * * * * [progress]: [ 962 / 5906 ] simplifiying candidate # 330.670 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 330.670 * * [simplify]: iters left: 6 (51 enodes) 330.683 * * [simplify]: iters left: 5 (243 enodes) 330.747 * * [simplify]: Extracting #0: cost 1 inf + 0 330.747 * * [simplify]: Extracting #1: cost 3 inf + 0 330.747 * * [simplify]: Extracting #2: cost 6 inf + 0 330.747 * * [simplify]: Extracting #3: cost 56 inf + 0 330.748 * * [simplify]: Extracting #4: cost 130 inf + 0 330.748 * * [simplify]: Extracting #5: cost 208 inf + 0 330.749 * * [simplify]: Extracting #6: cost 270 inf + 1791 330.751 * * [simplify]: Extracting #7: cost 201 inf + 13780 330.760 * * [simplify]: Extracting #8: cost 124 inf + 37900 330.772 * * [simplify]: Extracting #9: cost 65 inf + 59860 330.790 * * [simplify]: Extracting #10: cost 7 inf + 113430 330.835 * * [simplify]: Extracting #11: cost 1 inf + 121740 330.882 * * [simplify]: Extracting #12: cost 0 inf + 123525 330.906 * * [simplify]: Extracting #13: cost 0 inf + 123485 330.960 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 330.960 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 330.961 * * * * [progress]: [ 963 / 5906 ] simplifiying candidate # 330.961 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 330.962 * * [simplify]: iters left: 6 (52 enodes) 330.984 * * [simplify]: iters left: 5 (252 enodes) 331.045 * * [simplify]: Extracting #0: cost 1 inf + 0 331.045 * * [simplify]: Extracting #1: cost 3 inf + 0 331.046 * * [simplify]: Extracting #2: cost 6 inf + 0 331.046 * * [simplify]: Extracting #3: cost 60 inf + 0 331.046 * * [simplify]: Extracting #4: cost 153 inf + 0 331.046 * * [simplify]: Extracting #5: cost 222 inf + 44 331.048 * * [simplify]: Extracting #6: cost 248 inf + 5058 331.051 * * [simplify]: Extracting #7: cost 188 inf + 15912 331.064 * * [simplify]: Extracting #8: cost 105 inf + 46059 331.078 * * [simplify]: Extracting #9: cost 50 inf + 71252 331.099 * * [simplify]: Extracting #10: cost 8 inf + 116822 331.146 * * [simplify]: Extracting #11: cost 1 inf + 125037 331.196 * * [simplify]: Extracting #12: cost 0 inf + 127182 331.245 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 331.245 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 331.246 * * * * [progress]: [ 964 / 5906 ] simplifiying candidate # 331.246 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 331.247 * * [simplify]: iters left: 6 (52 enodes) 331.273 * * [simplify]: iters left: 5 (252 enodes) 331.338 * * [simplify]: Extracting #0: cost 1 inf + 0 331.338 * * [simplify]: Extracting #1: cost 3 inf + 0 331.338 * * [simplify]: Extracting #2: cost 6 inf + 0 331.339 * * [simplify]: Extracting #3: cost 62 inf + 0 331.339 * * [simplify]: Extracting #4: cost 151 inf + 0 331.339 * * [simplify]: Extracting #5: cost 218 inf + 44 331.341 * * [simplify]: Extracting #6: cost 240 inf + 6505 331.344 * * [simplify]: Extracting #7: cost 180 inf + 18724 331.352 * * [simplify]: Extracting #8: cost 103 inf + 45140 331.363 * * [simplify]: Extracting #9: cost 49 inf + 70789 331.403 * * [simplify]: Extracting #10: cost 7 inf + 116119 331.447 * * [simplify]: Extracting #11: cost 1 inf + 122709 331.472 * * [simplify]: Extracting #12: cost 0 inf + 124854 331.512 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1)))))) 331.513 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 331.514 * * * * [progress]: [ 965 / 5906 ] simplifiying candidate # 331.514 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 331.515 * * [simplify]: iters left: 6 (46 enodes) 331.540 * * [simplify]: iters left: 5 (216 enodes) 331.590 * * [simplify]: Extracting #0: cost 1 inf + 0 331.590 * * [simplify]: Extracting #1: cost 3 inf + 0 331.590 * * [simplify]: Extracting #2: cost 6 inf + 0 331.590 * * [simplify]: Extracting #3: cost 54 inf + 0 331.591 * * [simplify]: Extracting #4: cost 119 inf + 0 331.591 * * [simplify]: Extracting #5: cost 165 inf + 86 331.592 * * [simplify]: Extracting #6: cost 219 inf + 1722 331.593 * * [simplify]: Extracting #7: cost 192 inf + 6076 331.597 * * [simplify]: Extracting #8: cost 130 inf + 22980 331.605 * * [simplify]: Extracting #9: cost 59 inf + 51106 331.631 * * [simplify]: Extracting #10: cost 11 inf + 90104 331.669 * * [simplify]: Extracting #11: cost 0 inf + 100433 331.708 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))))) 331.708 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 331.709 * * * * [progress]: [ 966 / 5906 ] simplifiying candidate # 331.710 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 331.710 * * [simplify]: iters left: 6 (51 enodes) 331.736 * * [simplify]: iters left: 5 (244 enodes) 331.840 * * [simplify]: Extracting #0: cost 1 inf + 0 331.840 * * [simplify]: Extracting #1: cost 3 inf + 0 331.840 * * [simplify]: Extracting #2: cost 10 inf + 0 331.840 * * [simplify]: Extracting #3: cost 74 inf + 0 331.841 * * [simplify]: Extracting #4: cost 137 inf + 1 331.842 * * [simplify]: Extracting #5: cost 187 inf + 249 331.844 * * [simplify]: Extracting #6: cost 238 inf + 2294 331.848 * * [simplify]: Extracting #7: cost 187 inf + 11694 331.853 * * [simplify]: Extracting #8: cost 137 inf + 29341 331.860 * * [simplify]: Extracting #9: cost 92 inf + 46234 331.870 * * [simplify]: Extracting #10: cost 55 inf + 61509 331.890 * * [simplify]: Extracting #11: cost 17 inf + 93859 331.938 * * [simplify]: Extracting #12: cost 1 inf + 112619 331.983 * * [simplify]: Extracting #13: cost 0 inf + 114204 332.027 * * [simplify]: Extracting #14: cost 0 inf + 114164 332.062 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1)))))))) 332.062 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 332.063 * * * * [progress]: [ 967 / 5906 ] simplifiying candidate # 332.063 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 332.063 * * [simplify]: iters left: 6 (46 enodes) 332.075 * * [simplify]: iters left: 5 (216 enodes) 332.150 * * [simplify]: Extracting #0: cost 1 inf + 0 332.150 * * [simplify]: Extracting #1: cost 3 inf + 0 332.150 * * [simplify]: Extracting #2: cost 10 inf + 0 332.151 * * [simplify]: Extracting #3: cost 66 inf + 0 332.151 * * [simplify]: Extracting #4: cost 117 inf + 44 332.152 * * [simplify]: Extracting #5: cost 155 inf + 618 332.154 * * [simplify]: Extracting #6: cost 208 inf + 2855 332.157 * * [simplify]: Extracting #7: cost 181 inf + 6727 332.166 * * [simplify]: Extracting #8: cost 105 inf + 31741 332.183 * * [simplify]: Extracting #9: cost 54 inf + 53077 332.205 * * [simplify]: Extracting #10: cost 28 inf + 66449 332.230 * * [simplify]: Extracting #11: cost 2 inf + 93473 332.250 * * [simplify]: Extracting #12: cost 0 inf + 97123 332.285 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 332.285 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 332.286 * * * * [progress]: [ 968 / 5906 ] simplifiying candidate # 332.287 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 332.287 * * [simplify]: iters left: 6 (51 enodes) 332.307 * * [simplify]: iters left: 5 (244 enodes) 332.363 * * [simplify]: Extracting #0: cost 1 inf + 0 332.363 * * [simplify]: Extracting #1: cost 3 inf + 0 332.364 * * [simplify]: Extracting #2: cost 10 inf + 0 332.364 * * [simplify]: Extracting #3: cost 74 inf + 0 332.364 * * [simplify]: Extracting #4: cost 137 inf + 1 332.365 * * [simplify]: Extracting #5: cost 188 inf + 207 332.367 * * [simplify]: Extracting #6: cost 239 inf + 2454 332.372 * * [simplify]: Extracting #7: cost 183 inf + 13025 332.381 * * [simplify]: Extracting #8: cost 136 inf + 29945 332.388 * * [simplify]: Extracting #9: cost 89 inf + 49109 332.399 * * [simplify]: Extracting #10: cost 49 inf + 66299 332.417 * * [simplify]: Extracting #11: cost 9 inf + 103219 332.443 * * [simplify]: Extracting #12: cost 0 inf + 115564 332.466 * * [simplify]: Extracting #13: cost 0 inf + 115164 332.489 * * [simplify]: Extracting #14: cost 0 inf + 115124 332.530 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1)))))) 332.530 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 332.531 * * * * [progress]: [ 969 / 5906 ] simplifiying candidate # 332.532 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 332.532 * * [simplify]: iters left: 6 (46 enodes) 332.554 * * [simplify]: iters left: 5 (216 enodes) 332.609 * * [simplify]: Extracting #0: cost 1 inf + 0 332.609 * * [simplify]: Extracting #1: cost 3 inf + 0 332.609 * * [simplify]: Extracting #2: cost 10 inf + 0 332.609 * * [simplify]: Extracting #3: cost 65 inf + 0 332.610 * * [simplify]: Extracting #4: cost 117 inf + 44 332.611 * * [simplify]: Extracting #5: cost 152 inf + 904 332.613 * * [simplify]: Extracting #6: cost 208 inf + 2976 332.616 * * [simplify]: Extracting #7: cost 187 inf + 6118 332.624 * * [simplify]: Extracting #8: cost 115 inf + 27136 332.642 * * [simplify]: Extracting #9: cost 47 inf + 58082 332.661 * * [simplify]: Extracting #10: cost 4 inf + 92649 332.686 * * [simplify]: Extracting #11: cost 0 inf + 96643 332.707 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))))))) 332.707 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 332.707 * * * * [progress]: [ 970 / 5906 ] simplifiying candidate # 332.708 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 332.708 * * [simplify]: iters left: 6 (52 enodes) 332.721 * * [simplify]: iters left: 5 (255 enodes) 332.790 * * [simplify]: Extracting #0: cost 1 inf + 0 332.790 * * [simplify]: Extracting #1: cost 3 inf + 0 332.790 * * [simplify]: Extracting #2: cost 6 inf + 0 332.790 * * [simplify]: Extracting #3: cost 56 inf + 0 332.791 * * [simplify]: Extracting #4: cost 130 inf + 0 332.791 * * [simplify]: Extracting #5: cost 210 inf + 0 332.792 * * [simplify]: Extracting #6: cost 300 inf + 1224 332.794 * * [simplify]: Extracting #7: cost 256 inf + 10017 332.798 * * [simplify]: Extracting #8: cost 165 inf + 29693 332.812 * * [simplify]: Extracting #9: cost 106 inf + 47516 332.836 * * [simplify]: Extracting #10: cost 56 inf + 70933 332.875 * * [simplify]: Extracting #11: cost 14 inf + 114080 332.918 * * [simplify]: Extracting #12: cost 1 inf + 130765 332.948 * * [simplify]: Extracting #13: cost 0 inf + 132870 332.992 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 332.992 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 332.993 * * * * [progress]: [ 971 / 5906 ] simplifiying candidate # 332.993 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 332.994 * * [simplify]: iters left: 6 (53 enodes) 333.018 * * [simplify]: iters left: 5 (264 enodes) 333.099 * * [simplify]: Extracting #0: cost 1 inf + 0 333.099 * * [simplify]: Extracting #1: cost 3 inf + 0 333.099 * * [simplify]: Extracting #2: cost 6 inf + 0 333.099 * * [simplify]: Extracting #3: cost 60 inf + 0 333.100 * * [simplify]: Extracting #4: cost 153 inf + 0 333.101 * * [simplify]: Extracting #5: cost 223 inf + 85 333.104 * * [simplify]: Extracting #6: cost 281 inf + 4806 333.111 * * [simplify]: Extracting #7: cost 237 inf + 14542 333.121 * * [simplify]: Extracting #8: cost 152 inf + 36394 333.143 * * [simplify]: Extracting #9: cost 34 inf + 116386 333.176 * * [simplify]: Extracting #10: cost 2 inf + 132500 333.209 * * [simplify]: Extracting #11: cost 0 inf + 135367 333.238 * [simplify]: Simplified to (sqrt (+ (+ (* (* phi1 phi1) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (- (* phi2 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 333.238 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (+ (* (* phi1 phi1) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (- (* phi2 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 333.238 * * * * [progress]: [ 972 / 5906 ] simplifiying candidate # 333.239 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 333.239 * * [simplify]: iters left: 6 (53 enodes) 333.261 * * [simplify]: iters left: 5 (264 enodes) 333.377 * * [simplify]: Extracting #0: cost 1 inf + 0 333.377 * * [simplify]: Extracting #1: cost 3 inf + 0 333.377 * * [simplify]: Extracting #2: cost 6 inf + 0 333.378 * * [simplify]: Extracting #3: cost 62 inf + 0 333.378 * * [simplify]: Extracting #4: cost 151 inf + 0 333.379 * * [simplify]: Extracting #5: cost 220 inf + 44 333.382 * * [simplify]: Extracting #6: cost 280 inf + 3961 333.388 * * [simplify]: Extracting #7: cost 240 inf + 13047 333.403 * * [simplify]: Extracting #8: cost 150 inf + 34937 333.421 * * [simplify]: Extracting #9: cost 68 inf + 67504 333.443 * * [simplify]: Extracting #10: cost 9 inf + 120334 333.486 * * [simplify]: Extracting #11: cost 0 inf + 132879 333.528 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 333.528 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 333.528 * * * * [progress]: [ 973 / 5906 ] simplifiying candidate # 333.529 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 333.529 * * [simplify]: iters left: 6 (47 enodes) 333.542 * * [simplify]: iters left: 5 (228 enodes) 333.603 * * [simplify]: Extracting #0: cost 1 inf + 0 333.603 * * [simplify]: Extracting #1: cost 3 inf + 0 333.603 * * [simplify]: Extracting #2: cost 6 inf + 0 333.603 * * [simplify]: Extracting #3: cost 54 inf + 0 333.604 * * [simplify]: Extracting #4: cost 119 inf + 0 333.604 * * [simplify]: Extracting #5: cost 168 inf + 44 333.605 * * [simplify]: Extracting #6: cost 245 inf + 1400 333.606 * * [simplify]: Extracting #7: cost 216 inf + 6483 333.609 * * [simplify]: Extracting #8: cost 167 inf + 15141 333.616 * * [simplify]: Extracting #9: cost 125 inf + 27655 333.637 * * [simplify]: Extracting #10: cost 60 inf + 54621 333.656 * * [simplify]: Extracting #11: cost 6 inf + 98468 333.684 * * [simplify]: Extracting #12: cost 1 inf + 104473 333.714 * * [simplify]: Extracting #13: cost 0 inf + 106298 333.736 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 333.736 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 333.737 * * * * [progress]: [ 974 / 5906 ] simplifiying candidate # 333.738 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 333.738 * * [simplify]: iters left: 6 (52 enodes) 333.769 * * [simplify]: iters left: 5 (256 enodes) 333.850 * * [simplify]: Extracting #0: cost 1 inf + 0 333.850 * * [simplify]: Extracting #1: cost 3 inf + 0 333.850 * * [simplify]: Extracting #2: cost 10 inf + 0 333.851 * * [simplify]: Extracting #3: cost 74 inf + 0 333.851 * * [simplify]: Extracting #4: cost 136 inf + 42 333.852 * * [simplify]: Extracting #5: cost 189 inf + 248 333.854 * * [simplify]: Extracting #6: cost 265 inf + 2734 333.858 * * [simplify]: Extracting #7: cost 226 inf + 12424 333.861 * * [simplify]: Extracting #8: cost 171 inf + 22913 333.869 * * [simplify]: Extracting #9: cost 123 inf + 36524 333.880 * * [simplify]: Extracting #10: cost 63 inf + 65003 333.917 * * [simplify]: Extracting #11: cost 7 inf + 117974 333.952 * * [simplify]: Extracting #12: cost 0 inf + 125829 334.002 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 334.002 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 334.003 * * * * [progress]: [ 975 / 5906 ] simplifiying candidate # 334.003 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 334.004 * * [simplify]: iters left: 6 (47 enodes) 334.018 * * [simplify]: iters left: 5 (228 enodes) 334.069 * * [simplify]: Extracting #0: cost 1 inf + 0 334.069 * * [simplify]: Extracting #1: cost 3 inf + 0 334.069 * * [simplify]: Extracting #2: cost 10 inf + 0 334.069 * * [simplify]: Extracting #3: cost 66 inf + 0 334.069 * * [simplify]: Extracting #4: cost 117 inf + 44 334.070 * * [simplify]: Extracting #5: cost 152 inf + 1348 334.071 * * [simplify]: Extracting #6: cost 235 inf + 2974 334.072 * * [simplify]: Extracting #7: cost 221 inf + 5831 334.075 * * [simplify]: Extracting #8: cost 156 inf + 18683 334.084 * * [simplify]: Extracting #9: cost 102 inf + 40304 334.108 * * [simplify]: Extracting #10: cost 37 inf + 68183 334.125 * * [simplify]: Extracting #11: cost 7 inf + 94493 334.151 * * [simplify]: Extracting #12: cost 1 inf + 101723 334.174 * * [simplify]: Extracting #13: cost 0 inf + 103428 334.201 * * [simplify]: Extracting #14: cost 0 inf + 103348 334.243 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) 334.243 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 334.244 * * * * [progress]: [ 976 / 5906 ] simplifiying candidate # 334.244 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 334.245 * * [simplify]: iters left: 6 (52 enodes) 334.273 * * [simplify]: iters left: 5 (256 enodes) 334.341 * * [simplify]: Extracting #0: cost 1 inf + 0 334.341 * * [simplify]: Extracting #1: cost 3 inf + 0 334.341 * * [simplify]: Extracting #2: cost 10 inf + 0 334.342 * * [simplify]: Extracting #3: cost 74 inf + 0 334.342 * * [simplify]: Extracting #4: cost 136 inf + 42 334.342 * * [simplify]: Extracting #5: cost 189 inf + 248 334.343 * * [simplify]: Extracting #6: cost 270 inf + 1725 334.348 * * [simplify]: Extracting #7: cost 231 inf + 11044 334.351 * * [simplify]: Extracting #8: cost 172 inf + 22792 334.358 * * [simplify]: Extracting #9: cost 123 inf + 36684 334.369 * * [simplify]: Extracting #10: cost 64 inf + 64999 334.404 * * [simplify]: Extracting #11: cost 7 inf + 118934 334.433 * * [simplify]: Extracting #12: cost 0 inf + 126789 334.481 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 334.481 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 334.482 * * * * [progress]: [ 977 / 5906 ] simplifiying candidate # 334.482 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 334.483 * * [simplify]: iters left: 6 (47 enodes) 334.508 * * [simplify]: iters left: 5 (228 enodes) 334.557 * * [simplify]: Extracting #0: cost 1 inf + 0 334.557 * * [simplify]: Extracting #1: cost 3 inf + 0 334.557 * * [simplify]: Extracting #2: cost 10 inf + 0 334.557 * * [simplify]: Extracting #3: cost 65 inf + 0 334.557 * * [simplify]: Extracting #4: cost 116 inf + 86 334.558 * * [simplify]: Extracting #5: cost 149 inf + 1714 334.559 * * [simplify]: Extracting #6: cost 235 inf + 2934 334.560 * * [simplify]: Extracting #7: cost 219 inf + 6074 334.564 * * [simplify]: Extracting #8: cost 150 inf + 20900 334.580 * * [simplify]: Extracting #9: cost 100 inf + 41494 334.603 * * [simplify]: Extracting #10: cost 37 inf + 68263 334.634 * * [simplify]: Extracting #11: cost 7 inf + 94733 334.659 * * [simplify]: Extracting #12: cost 1 inf + 101963 334.685 * * [simplify]: Extracting #13: cost 0 inf + 103668 334.726 * * [simplify]: Extracting #14: cost 0 inf + 103588 334.765 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) 334.765 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 334.766 * * * * [progress]: [ 978 / 5906 ] simplifiying candidate # 334.767 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 334.767 * * [simplify]: iters left: 6 (48 enodes) 334.792 * * [simplify]: iters left: 5 (227 enodes) 334.848 * * [simplify]: Extracting #0: cost 1 inf + 0 334.848 * * [simplify]: Extracting #1: cost 3 inf + 0 334.848 * * [simplify]: Extracting #2: cost 6 inf + 0 334.849 * * [simplify]: Extracting #3: cost 48 inf + 0 334.849 * * [simplify]: Extracting #4: cost 112 inf + 0 334.850 * * [simplify]: Extracting #5: cost 180 inf + 0 334.851 * * [simplify]: Extracting #6: cost 245 inf + 669 334.854 * * [simplify]: Extracting #7: cost 199 inf + 11058 334.860 * * [simplify]: Extracting #8: cost 138 inf + 20462 334.872 * * [simplify]: Extracting #9: cost 84 inf + 40196 334.893 * * [simplify]: Extracting #10: cost 37 inf + 65492 334.922 * * [simplify]: Extracting #11: cost 5 inf + 99711 334.943 * * [simplify]: Extracting #12: cost 0 inf + 106116 334.964 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 334.964 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 334.965 * * * * [progress]: [ 979 / 5906 ] simplifiying candidate # 334.965 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 334.965 * * [simplify]: iters left: 6 (49 enodes) 334.986 * * [simplify]: iters left: 5 (236 enodes) 335.080 * * [simplify]: Extracting #0: cost 1 inf + 0 335.080 * * [simplify]: Extracting #1: cost 3 inf + 0 335.080 * * [simplify]: Extracting #2: cost 6 inf + 0 335.080 * * [simplify]: Extracting #3: cost 52 inf + 0 335.080 * * [simplify]: Extracting #4: cost 135 inf + 0 335.081 * * [simplify]: Extracting #5: cost 193 inf + 85 335.082 * * [simplify]: Extracting #6: cost 218 inf + 6498 335.085 * * [simplify]: Extracting #7: cost 179 inf + 14731 335.089 * * [simplify]: Extracting #8: cost 113 inf + 29940 335.101 * * [simplify]: Extracting #9: cost 52 inf + 58275 335.128 * * [simplify]: Extracting #10: cost 12 inf + 95195 335.170 * * [simplify]: Extracting #11: cost 0 inf + 108693 335.212 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 335.213 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 335.213 * * * * [progress]: [ 980 / 5906 ] simplifiying candidate # 335.214 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 335.214 * * [simplify]: iters left: 6 (49 enodes) 335.226 * * [simplify]: iters left: 5 (236 enodes) 335.292 * * [simplify]: Extracting #0: cost 1 inf + 0 335.292 * * [simplify]: Extracting #1: cost 3 inf + 0 335.292 * * [simplify]: Extracting #2: cost 6 inf + 0 335.293 * * [simplify]: Extracting #3: cost 54 inf + 0 335.293 * * [simplify]: Extracting #4: cost 133 inf + 0 335.294 * * [simplify]: Extracting #5: cost 188 inf + 166 335.297 * * [simplify]: Extracting #6: cost 218 inf + 5448 335.302 * * [simplify]: Extracting #7: cost 180 inf + 13741 335.310 * * [simplify]: Extracting #8: cost 115 inf + 27360 335.321 * * [simplify]: Extracting #9: cost 58 inf + 52136 335.337 * * [simplify]: Extracting #10: cost 17 inf + 87161 335.364 * * [simplify]: Extracting #11: cost 0 inf + 105125 335.402 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 335.402 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 335.403 * * * * [progress]: [ 981 / 5906 ] simplifiying candidate # 335.404 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 335.404 * * [simplify]: iters left: 6 (43 enodes) 335.426 * * [simplify]: iters left: 5 (199 enodes) 335.502 * * [simplify]: Extracting #0: cost 1 inf + 0 335.502 * * [simplify]: Extracting #1: cost 3 inf + 0 335.502 * * [simplify]: Extracting #2: cost 6 inf + 0 335.502 * * [simplify]: Extracting #3: cost 46 inf + 0 335.502 * * [simplify]: Extracting #4: cost 101 inf + 0 335.502 * * [simplify]: Extracting #5: cost 136 inf + 167 335.503 * * [simplify]: Extracting #6: cost 188 inf + 1801 335.504 * * [simplify]: Extracting #7: cost 172 inf + 4859 335.507 * * [simplify]: Extracting #8: cost 119 inf + 15581 335.513 * * [simplify]: Extracting #9: cost 68 inf + 33794 335.534 * * [simplify]: Extracting #10: cost 12 inf + 72694 335.563 * * [simplify]: Extracting #11: cost 0 inf + 84384 335.580 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 335.580 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 335.580 * * * * [progress]: [ 982 / 5906 ] simplifiying candidate # 335.581 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 335.581 * * [simplify]: iters left: 6 (48 enodes) 335.593 * * [simplify]: iters left: 5 (227 enodes) 335.675 * * [simplify]: Extracting #0: cost 1 inf + 0 335.675 * * [simplify]: Extracting #1: cost 3 inf + 0 335.675 * * [simplify]: Extracting #2: cost 10 inf + 0 335.675 * * [simplify]: Extracting #3: cost 62 inf + 0 335.675 * * [simplify]: Extracting #4: cost 115 inf + 42 335.676 * * [simplify]: Extracting #5: cost 157 inf + 207 335.677 * * [simplify]: Extracting #6: cost 209 inf + 2248 335.678 * * [simplify]: Extracting #7: cost 179 inf + 8673 335.681 * * [simplify]: Extracting #8: cost 112 inf + 22888 335.689 * * [simplify]: Extracting #9: cost 53 inf + 49986 335.707 * * [simplify]: Extracting #10: cost 9 inf + 87796 335.738 * * [simplify]: Extracting #11: cost 0 inf + 98560 335.757 * * [simplify]: Extracting #12: cost 0 inf + 98440 335.776 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 335.776 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 335.777 * * * * [progress]: [ 983 / 5906 ] simplifiying candidate # 335.777 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 335.777 * * [simplify]: iters left: 6 (43 enodes) 335.795 * * [simplify]: iters left: 5 (199 enodes) 335.874 * * [simplify]: Extracting #0: cost 1 inf + 0 335.874 * * [simplify]: Extracting #1: cost 3 inf + 0 335.874 * * [simplify]: Extracting #2: cost 10 inf + 0 335.875 * * [simplify]: Extracting #3: cost 54 inf + 0 335.875 * * [simplify]: Extracting #4: cost 95 inf + 86 335.876 * * [simplify]: Extracting #5: cost 117 inf + 1432 335.878 * * [simplify]: Extracting #6: cost 174 inf + 2976 335.880 * * [simplify]: Extracting #7: cost 165 inf + 5221 335.885 * * [simplify]: Extracting #8: cost 112 inf + 16281 335.898 * * [simplify]: Extracting #9: cost 49 inf + 40185 335.920 * * [simplify]: Extracting #10: cost 19 inf + 60725 335.950 * * [simplify]: Extracting #11: cost 3 inf + 74084 335.981 * * [simplify]: Extracting #12: cost 0 inf + 78919 336.011 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1)))))) 336.012 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 336.012 * * * * [progress]: [ 984 / 5906 ] simplifiying candidate # 336.013 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 336.013 * * [simplify]: iters left: 6 (48 enodes) 336.040 * * [simplify]: iters left: 5 (227 enodes) 336.112 * * [simplify]: Extracting #0: cost 1 inf + 0 336.112 * * [simplify]: Extracting #1: cost 3 inf + 0 336.112 * * [simplify]: Extracting #2: cost 10 inf + 0 336.112 * * [simplify]: Extracting #3: cost 62 inf + 0 336.112 * * [simplify]: Extracting #4: cost 115 inf + 42 336.113 * * [simplify]: Extracting #5: cost 156 inf + 249 336.113 * * [simplify]: Extracting #6: cost 210 inf + 2046 336.115 * * [simplify]: Extracting #7: cost 182 inf + 8518 336.118 * * [simplify]: Extracting #8: cost 112 inf + 23059 336.128 * * [simplify]: Extracting #9: cost 53 inf + 50146 336.143 * * [simplify]: Extracting #10: cost 9 inf + 88516 336.176 * * [simplify]: Extracting #11: cost 0 inf + 99360 336.195 * * [simplify]: Extracting #12: cost 0 inf + 99240 336.227 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 336.227 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 336.228 * * * * [progress]: [ 985 / 5906 ] simplifiying candidate # 336.229 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 336.230 * * [simplify]: iters left: 6 (43 enodes) 336.252 * * [simplify]: iters left: 5 (199 enodes) 336.330 * * [simplify]: Extracting #0: cost 1 inf + 0 336.330 * * [simplify]: Extracting #1: cost 3 inf + 0 336.330 * * [simplify]: Extracting #2: cost 10 inf + 0 336.330 * * [simplify]: Extracting #3: cost 53 inf + 0 336.331 * * [simplify]: Extracting #4: cost 96 inf + 44 336.332 * * [simplify]: Extracting #5: cost 122 inf + 1023 336.333 * * [simplify]: Extracting #6: cost 175 inf + 2895 336.336 * * [simplify]: Extracting #7: cost 169 inf + 4814 336.340 * * [simplify]: Extracting #8: cost 113 inf + 15376 336.346 * * [simplify]: Extracting #9: cost 61 inf + 34539 336.355 * * [simplify]: Extracting #10: cost 29 inf + 51770 336.368 * * [simplify]: Extracting #11: cost 5 inf + 72354 336.394 * * [simplify]: Extracting #12: cost 0 inf + 79239 336.429 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (+ phi2 phi1)) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) 336.429 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (+ phi2 phi1)) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 336.430 * * * * [progress]: [ 986 / 5906 ] simplifiying candidate # 336.430 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 336.431 * * [simplify]: iters left: 6 (52 enodes) 336.444 * * [simplify]: iters left: 5 (250 enodes) 336.513 * * [simplify]: Extracting #0: cost 1 inf + 0 336.513 * * [simplify]: Extracting #1: cost 3 inf + 0 336.513 * * [simplify]: Extracting #2: cost 6 inf + 0 336.513 * * [simplify]: Extracting #3: cost 53 inf + 0 336.514 * * [simplify]: Extracting #4: cost 118 inf + 0 336.514 * * [simplify]: Extracting #5: cost 183 inf + 0 336.515 * * [simplify]: Extracting #6: cost 263 inf + 131 336.517 * * [simplify]: Extracting #7: cost 209 inf + 9248 336.527 * * [simplify]: Extracting #8: cost 115 inf + 32915 336.547 * * [simplify]: Extracting #9: cost 51 inf + 59575 336.574 * * [simplify]: Extracting #10: cost 5 inf + 106323 336.598 * * [simplify]: Extracting #11: cost 1 inf + 110983 336.643 * * [simplify]: Extracting #12: cost 0 inf + 112808 336.686 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))))) 336.686 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 336.687 * * * * [progress]: [ 987 / 5906 ] simplifiying candidate # 336.688 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 336.688 * * [simplify]: iters left: 6 (53 enodes) 336.716 * * [simplify]: iters left: 5 (259 enodes) 336.800 * * [simplify]: Extracting #0: cost 1 inf + 0 336.800 * * [simplify]: Extracting #1: cost 3 inf + 0 336.800 * * [simplify]: Extracting #2: cost 6 inf + 0 336.800 * * [simplify]: Extracting #3: cost 56 inf + 0 336.800 * * [simplify]: Extracting #4: cost 140 inf + 0 336.801 * * [simplify]: Extracting #5: cost 196 inf + 44 336.802 * * [simplify]: Extracting #6: cost 238 inf + 4084 336.804 * * [simplify]: Extracting #7: cost 202 inf + 11918 336.813 * * [simplify]: Extracting #8: cost 136 inf + 28906 336.827 * * [simplify]: Extracting #9: cost 87 inf + 47800 336.847 * * [simplify]: Extracting #10: cost 48 inf + 64040 336.882 * * [simplify]: Extracting #11: cost 8 inf + 102160 336.905 * * [simplify]: Extracting #12: cost 0 inf + 113400 336.930 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 336.930 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 336.931 * * * * [progress]: [ 988 / 5906 ] simplifiying candidate # 336.931 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 336.932 * * [simplify]: iters left: 6 (53 enodes) 336.956 * * [simplify]: iters left: 5 (259 enodes) 337.023 * * [simplify]: Extracting #0: cost 1 inf + 0 337.023 * * [simplify]: Extracting #1: cost 3 inf + 0 337.023 * * [simplify]: Extracting #2: cost 6 inf + 0 337.023 * * [simplify]: Extracting #3: cost 58 inf + 0 337.023 * * [simplify]: Extracting #4: cost 138 inf + 0 337.024 * * [simplify]: Extracting #5: cost 192 inf + 44 337.025 * * [simplify]: Extracting #6: cost 228 inf + 5253 337.028 * * [simplify]: Extracting #7: cost 192 inf + 13831 337.032 * * [simplify]: Extracting #8: cost 135 inf + 27948 337.041 * * [simplify]: Extracting #9: cost 82 inf + 48588 337.057 * * [simplify]: Extracting #10: cost 50 inf + 60102 337.080 * * [simplify]: Extracting #11: cost 33 inf + 71687 337.114 * * [simplify]: Extracting #12: cost 7 inf + 99377 337.158 * * [simplify]: Extracting #13: cost 0 inf + 108352 337.186 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))))) (* (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 337.186 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))))) (* (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 337.187 * * * * [progress]: [ 989 / 5906 ] simplifiying candidate # 337.187 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 337.188 * * [simplify]: iters left: 6 (47 enodes) 337.199 * * [simplify]: iters left: 5 (222 enodes) 337.268 * * [simplify]: Extracting #0: cost 1 inf + 0 337.268 * * [simplify]: Extracting #1: cost 3 inf + 0 337.268 * * [simplify]: Extracting #2: cost 6 inf + 0 337.269 * * [simplify]: Extracting #3: cost 50 inf + 0 337.269 * * [simplify]: Extracting #4: cost 107 inf + 0 337.270 * * [simplify]: Extracting #5: cost 141 inf + 44 337.271 * * [simplify]: Extracting #6: cost 203 inf + 1236 337.273 * * [simplify]: Extracting #7: cost 181 inf + 5307 337.275 * * [simplify]: Extracting #8: cost 152 inf + 9204 337.279 * * [simplify]: Extracting #9: cost 102 inf + 24812 337.288 * * [simplify]: Extracting #10: cost 49 inf + 46711 337.299 * * [simplify]: Extracting #11: cost 29 inf + 58088 337.328 * * [simplify]: Extracting #12: cost 8 inf + 79613 337.350 * * [simplify]: Extracting #13: cost 0 inf + 89973 337.377 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 337.378 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 337.379 * * * * [progress]: [ 990 / 5906 ] simplifiying candidate # 337.379 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 337.380 * * [simplify]: iters left: 6 (52 enodes) 337.400 * * [simplify]: iters left: 5 (250 enodes) 337.466 * * [simplify]: Extracting #0: cost 1 inf + 0 337.466 * * [simplify]: Extracting #1: cost 3 inf + 0 337.466 * * [simplify]: Extracting #2: cost 10 inf + 0 337.466 * * [simplify]: Extracting #3: cost 66 inf + 0 337.466 * * [simplify]: Extracting #4: cost 126 inf + 1 337.467 * * [simplify]: Extracting #5: cost 164 inf + 207 337.468 * * [simplify]: Extracting #6: cost 228 inf + 1965 337.472 * * [simplify]: Extracting #7: cost 196 inf + 8784 337.475 * * [simplify]: Extracting #8: cost 137 inf + 20263 337.484 * * [simplify]: Extracting #9: cost 77 inf + 44968 337.515 * * [simplify]: Extracting #10: cost 13 inf + 94795 337.554 * * [simplify]: Extracting #11: cost 5 inf + 103631 337.575 * * [simplify]: Extracting #12: cost 0 inf + 108112 337.612 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) 337.612 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 337.613 * * * * [progress]: [ 991 / 5906 ] simplifiying candidate # 337.613 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 337.614 * * [simplify]: iters left: 6 (47 enodes) 337.629 * * [simplify]: iters left: 5 (223 enodes) 337.696 * * [simplify]: Extracting #0: cost 1 inf + 0 337.696 * * [simplify]: Extracting #1: cost 3 inf + 0 337.696 * * [simplify]: Extracting #2: cost 10 inf + 0 337.696 * * [simplify]: Extracting #3: cost 57 inf + 0 337.696 * * [simplify]: Extracting #4: cost 105 inf + 44 337.697 * * [simplify]: Extracting #5: cost 127 inf + 1346 337.700 * * [simplify]: Extracting #6: cost 191 inf + 3016 337.702 * * [simplify]: Extracting #7: cost 182 inf + 5142 337.707 * * [simplify]: Extracting #8: cost 145 inf + 11377 337.717 * * [simplify]: Extracting #9: cost 97 inf + 29004 337.732 * * [simplify]: Extracting #10: cost 39 inf + 52507 337.746 * * [simplify]: Extracting #11: cost 5 inf + 81184 337.774 * * [simplify]: Extracting #12: cost 0 inf + 88189 337.809 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (+ phi2 phi1))))) 337.809 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 337.810 * * * * [progress]: [ 992 / 5906 ] simplifiying candidate # 337.811 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 337.811 * * [simplify]: iters left: 6 (52 enodes) 337.838 * * [simplify]: iters left: 5 (250 enodes) 337.926 * * [simplify]: Extracting #0: cost 1 inf + 0 337.926 * * [simplify]: Extracting #1: cost 3 inf + 0 337.926 * * [simplify]: Extracting #2: cost 10 inf + 0 337.926 * * [simplify]: Extracting #3: cost 66 inf + 0 337.927 * * [simplify]: Extracting #4: cost 126 inf + 1 337.927 * * [simplify]: Extracting #5: cost 164 inf + 207 337.928 * * [simplify]: Extracting #6: cost 226 inf + 2246 337.930 * * [simplify]: Extracting #7: cost 196 inf + 8734 337.933 * * [simplify]: Extracting #8: cost 137 inf + 20605 337.940 * * [simplify]: Extracting #9: cost 77 inf + 44968 337.956 * * [simplify]: Extracting #10: cost 14 inf + 94090 337.979 * * [simplify]: Extracting #11: cost 6 inf + 103427 338.019 * * [simplify]: Extracting #12: cost 0 inf + 108912 338.062 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) 338.062 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 338.063 * * * * [progress]: [ 993 / 5906 ] simplifiying candidate # 338.064 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 338.064 * * [simplify]: iters left: 6 (47 enodes) 338.078 * * [simplify]: iters left: 5 (223 enodes) 338.126 * * [simplify]: Extracting #0: cost 1 inf + 0 338.126 * * [simplify]: Extracting #1: cost 3 inf + 0 338.127 * * [simplify]: Extracting #2: cost 10 inf + 0 338.127 * * [simplify]: Extracting #3: cost 56 inf + 0 338.127 * * [simplify]: Extracting #4: cost 104 inf + 86 338.128 * * [simplify]: Extracting #5: cost 121 inf + 1918 338.130 * * [simplify]: Extracting #6: cost 191 inf + 2976 338.133 * * [simplify]: Extracting #7: cost 183 inf + 5021 338.137 * * [simplify]: Extracting #8: cost 146 inf + 11256 338.143 * * [simplify]: Extracting #9: cost 98 inf + 29020 338.151 * * [simplify]: Extracting #10: cost 39 inf + 52827 338.165 * * [simplify]: Extracting #11: cost 5 inf + 81504 338.185 * * [simplify]: Extracting #12: cost 0 inf + 88509 338.219 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (+ phi2 phi1))))) 338.219 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 338.220 * * * * [progress]: [ 994 / 5906 ] simplifiying candidate # 338.221 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 338.225 * * [simplify]: iters left: 6 (52 enodes) 338.254 * * [simplify]: iters left: 5 (254 enodes) 338.332 * * [simplify]: Extracting #0: cost 1 inf + 0 338.332 * * [simplify]: Extracting #1: cost 3 inf + 0 338.332 * * [simplify]: Extracting #2: cost 6 inf + 0 338.332 * * [simplify]: Extracting #3: cost 56 inf + 0 338.333 * * [simplify]: Extracting #4: cost 130 inf + 0 338.333 * * [simplify]: Extracting #5: cost 210 inf + 0 338.338 * * [simplify]: Extracting #6: cost 283 inf + 1436 338.341 * * [simplify]: Extracting #7: cost 223 inf + 12146 338.347 * * [simplify]: Extracting #8: cost 131 inf + 34186 338.356 * * [simplify]: Extracting #9: cost 62 inf + 61610 338.376 * * [simplify]: Extracting #10: cost 6 inf + 114706 338.412 * * [simplify]: Extracting #11: cost 1 inf + 120551 338.436 * * [simplify]: Extracting #12: cost 0 inf + 122616 338.461 * * [simplify]: Extracting #13: cost 0 inf + 122576 338.504 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 338.504 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 338.505 * * * * [progress]: [ 995 / 5906 ] simplifiying candidate # 338.506 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 338.506 * * [simplify]: iters left: 6 (53 enodes) 338.532 * * [simplify]: iters left: 5 (263 enodes) 338.614 * * [simplify]: Extracting #0: cost 1 inf + 0 338.614 * * [simplify]: Extracting #1: cost 3 inf + 0 338.614 * * [simplify]: Extracting #2: cost 6 inf + 0 338.614 * * [simplify]: Extracting #3: cost 60 inf + 0 338.615 * * [simplify]: Extracting #4: cost 153 inf + 0 338.616 * * [simplify]: Extracting #5: cost 224 inf + 44 338.617 * * [simplify]: Extracting #6: cost 253 inf + 6307 338.621 * * [simplify]: Extracting #7: cost 198 inf + 16817 338.627 * * [simplify]: Extracting #8: cost 140 inf + 36274 338.636 * * [simplify]: Extracting #9: cost 94 inf + 56520 338.653 * * [simplify]: Extracting #10: cost 48 inf + 77033 338.680 * * [simplify]: Extracting #11: cost 8 inf + 117273 338.705 * * [simplify]: Extracting #12: cost 0 inf + 126993 338.745 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 338.745 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 338.746 * * * * [progress]: [ 996 / 5906 ] simplifiying candidate # 338.747 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 338.747 * * [simplify]: iters left: 6 (53 enodes) 338.775 * * [simplify]: iters left: 5 (263 enodes) 338.863 * * [simplify]: Extracting #0: cost 1 inf + 0 338.863 * * [simplify]: Extracting #1: cost 3 inf + 0 338.863 * * [simplify]: Extracting #2: cost 6 inf + 0 338.863 * * [simplify]: Extracting #3: cost 62 inf + 0 338.863 * * [simplify]: Extracting #4: cost 151 inf + 0 338.864 * * [simplify]: Extracting #5: cost 220 inf + 44 338.865 * * [simplify]: Extracting #6: cost 252 inf + 6026 338.869 * * [simplify]: Extracting #7: cost 196 inf + 18023 338.881 * * [simplify]: Extracting #8: cost 144 inf + 34024 338.899 * * [simplify]: Extracting #9: cost 94 inf + 55969 338.936 * * [simplify]: Extracting #10: cost 11 inf + 114712 338.962 * * [simplify]: Extracting #11: cost 0 inf + 123945 338.986 * * [simplify]: Extracting #12: cost 0 inf + 123865 339.012 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 339.012 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 339.013 * * * * [progress]: [ 997 / 5906 ] simplifiying candidate # 339.013 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 339.013 * * [simplify]: iters left: 6 (47 enodes) 339.025 * * [simplify]: iters left: 5 (227 enodes) 339.095 * * [simplify]: Extracting #0: cost 1 inf + 0 339.096 * * [simplify]: Extracting #1: cost 3 inf + 0 339.096 * * [simplify]: Extracting #2: cost 6 inf + 0 339.096 * * [simplify]: Extracting #3: cost 54 inf + 0 339.096 * * [simplify]: Extracting #4: cost 119 inf + 0 339.096 * * [simplify]: Extracting #5: cost 168 inf + 44 339.097 * * [simplify]: Extracting #6: cost 231 inf + 1277 339.098 * * [simplify]: Extracting #7: cost 210 inf + 4779 339.102 * * [simplify]: Extracting #8: cost 129 inf + 23763 339.112 * * [simplify]: Extracting #9: cost 64 inf + 51221 339.143 * * [simplify]: Extracting #10: cost 10 inf + 89996 339.168 * * [simplify]: Extracting #11: cost 1 inf + 99499 339.192 * * [simplify]: Extracting #12: cost 0 inf + 101364 339.214 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 339.214 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 339.214 * * * * [progress]: [ 998 / 5906 ] simplifiying candidate # 339.214 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 339.215 * * [simplify]: iters left: 6 (52 enodes) 339.228 * * [simplify]: iters left: 5 (255 enodes) 339.305 * * [simplify]: Extracting #0: cost 1 inf + 0 339.305 * * [simplify]: Extracting #1: cost 3 inf + 0 339.305 * * [simplify]: Extracting #2: cost 10 inf + 0 339.305 * * [simplify]: Extracting #3: cost 74 inf + 0 339.306 * * [simplify]: Extracting #4: cost 137 inf + 1 339.307 * * [simplify]: Extracting #5: cost 189 inf + 248 339.309 * * [simplify]: Extracting #6: cost 250 inf + 2452 339.314 * * [simplify]: Extracting #7: cost 200 inf + 11932 339.324 * * [simplify]: Extracting #8: cost 128 inf + 33544 339.343 * * [simplify]: Extracting #9: cost 56 inf + 63095 339.379 * * [simplify]: Extracting #10: cost 9 inf + 107110 339.405 * * [simplify]: Extracting #11: cost 1 inf + 115230 339.436 * * [simplify]: Extracting #12: cost 0 inf + 117295 339.469 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) 339.469 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 339.470 * * * * [progress]: [ 999 / 5906 ] simplifiying candidate # 339.470 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 339.471 * * [simplify]: iters left: 6 (47 enodes) 339.482 * * [simplify]: iters left: 5 (227 enodes) 339.533 * * [simplify]: Extracting #0: cost 1 inf + 0 339.533 * * [simplify]: Extracting #1: cost 3 inf + 0 339.533 * * [simplify]: Extracting #2: cost 10 inf + 0 339.534 * * [simplify]: Extracting #3: cost 66 inf + 0 339.534 * * [simplify]: Extracting #4: cost 117 inf + 44 339.534 * * [simplify]: Extracting #5: cost 154 inf + 1064 339.536 * * [simplify]: Extracting #6: cost 218 inf + 3016 339.537 * * [simplify]: Extracting #7: cost 203 inf + 6152 339.542 * * [simplify]: Extracting #8: cost 122 inf + 25492 339.553 * * [simplify]: Extracting #9: cost 60 inf + 50501 339.583 * * [simplify]: Extracting #10: cost 7 inf + 89359 339.614 * * [simplify]: Extracting #11: cost 1 inf + 96309 339.633 * * [simplify]: Extracting #12: cost 0 inf + 98174 339.667 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi2 phi1) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 339.668 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi2 phi1) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 339.668 * * * * [progress]: [ 1000 / 5906 ] simplifiying candidate # 339.669 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 339.670 * * [simplify]: iters left: 6 (52 enodes) 339.695 * * [simplify]: iters left: 5 (255 enodes) 339.799 * * [simplify]: Extracting #0: cost 1 inf + 0 339.799 * * [simplify]: Extracting #1: cost 3 inf + 0 339.800 * * [simplify]: Extracting #2: cost 10 inf + 0 339.800 * * [simplify]: Extracting #3: cost 74 inf + 0 339.801 * * [simplify]: Extracting #4: cost 137 inf + 1 339.801 * * [simplify]: Extracting #5: cost 189 inf + 248 339.803 * * [simplify]: Extracting #6: cost 253 inf + 1686 339.808 * * [simplify]: Extracting #7: cost 208 inf + 9664 339.818 * * [simplify]: Extracting #8: cost 128 inf + 33477 339.838 * * [simplify]: Extracting #9: cost 56 inf + 64055 339.874 * * [simplify]: Extracting #10: cost 9 inf + 108070 339.900 * * [simplify]: Extracting #11: cost 1 inf + 116190 339.926 * * [simplify]: Extracting #12: cost 0 inf + 118255 339.970 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) 339.970 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 339.971 * * * * [progress]: [ 1001 / 5906 ] simplifiying candidate # 339.972 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 339.972 * * [simplify]: iters left: 6 (47 enodes) 339.994 * * [simplify]: iters left: 5 (227 enodes) 340.074 * * [simplify]: Extracting #0: cost 1 inf + 0 340.074 * * [simplify]: Extracting #1: cost 3 inf + 0 340.074 * * [simplify]: Extracting #2: cost 10 inf + 0 340.074 * * [simplify]: Extracting #3: cost 65 inf + 0 340.075 * * [simplify]: Extracting #4: cost 117 inf + 44 340.075 * * [simplify]: Extracting #5: cost 156 inf + 740 340.076 * * [simplify]: Extracting #6: cost 221 inf + 2610 340.077 * * [simplify]: Extracting #7: cost 197 inf + 6803 340.081 * * [simplify]: Extracting #8: cost 121 inf + 25409 340.096 * * [simplify]: Extracting #9: cost 58 inf + 52109 340.127 * * [simplify]: Extracting #10: cost 7 inf + 89759 340.164 * * [simplify]: Extracting #11: cost 1 inf + 96709 340.204 * * [simplify]: Extracting #12: cost 0 inf + 98574 340.239 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 340.239 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 340.240 * * * * [progress]: [ 1002 / 5906 ] simplifiying candidate # 340.240 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 340.240 * * [simplify]: iters left: 6 (51 enodes) 340.253 * * [simplify]: iters left: 5 (244 enodes) 340.346 * * [simplify]: Extracting #0: cost 1 inf + 0 340.346 * * [simplify]: Extracting #1: cost 3 inf + 0 340.346 * * [simplify]: Extracting #2: cost 6 inf + 0 340.346 * * [simplify]: Extracting #3: cost 56 inf + 0 340.347 * * [simplify]: Extracting #4: cost 130 inf + 0 340.348 * * [simplify]: Extracting #5: cost 207 inf + 0 340.349 * * [simplify]: Extracting #6: cost 267 inf + 2126 340.355 * * [simplify]: Extracting #7: cost 188 inf + 20688 340.368 * * [simplify]: Extracting #8: cost 115 inf + 46360 340.387 * * [simplify]: Extracting #9: cost 65 inf + 59412 340.409 * * [simplify]: Extracting #10: cost 49 inf + 67940 340.436 * * [simplify]: Extracting #11: cost 6 inf + 118215 340.463 * * [simplify]: Extracting #12: cost 1 inf + 126380 340.495 * * [simplify]: Extracting #13: cost 0 inf + 128525 340.528 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (- lambda1 lambda2))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 340.528 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (- lambda1 lambda2))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 340.529 * * * * [progress]: [ 1003 / 5906 ] simplifiying candidate # 340.529 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 340.530 * * [simplify]: iters left: 6 (52 enodes) 340.555 * * [simplify]: iters left: 5 (253 enodes) 340.657 * * [simplify]: Extracting #0: cost 1 inf + 0 340.657 * * [simplify]: Extracting #1: cost 3 inf + 0 340.657 * * [simplify]: Extracting #2: cost 6 inf + 0 340.657 * * [simplify]: Extracting #3: cost 60 inf + 0 340.657 * * [simplify]: Extracting #4: cost 153 inf + 0 340.658 * * [simplify]: Extracting #5: cost 221 inf + 44 340.659 * * [simplify]: Extracting #6: cost 244 inf + 6308 340.663 * * [simplify]: Extracting #7: cost 190 inf + 14864 340.668 * * [simplify]: Extracting #8: cost 135 inf + 36648 340.677 * * [simplify]: Extracting #9: cost 92 inf + 54109 340.696 * * [simplify]: Extracting #10: cost 55 inf + 68247 340.726 * * [simplify]: Extracting #11: cost 35 inf + 83427 340.768 * * [simplify]: Extracting #12: cost 2 inf + 122732 340.806 * * [simplify]: Extracting #13: cost 1 inf + 124797 340.832 * * [simplify]: Extracting #14: cost 0 inf + 126942 340.880 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))) 340.880 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 340.881 * * * * [progress]: [ 1004 / 5906 ] simplifiying candidate # 340.881 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 340.882 * * [simplify]: iters left: 6 (52 enodes) 340.896 * * [simplify]: iters left: 5 (253 enodes) 340.952 * * [simplify]: Extracting #0: cost 1 inf + 0 340.952 * * [simplify]: Extracting #1: cost 3 inf + 0 340.952 * * [simplify]: Extracting #2: cost 6 inf + 0 340.952 * * [simplify]: Extracting #3: cost 62 inf + 0 340.952 * * [simplify]: Extracting #4: cost 151 inf + 0 340.953 * * [simplify]: Extracting #5: cost 217 inf + 44 340.954 * * [simplify]: Extracting #6: cost 259 inf + 3151 340.956 * * [simplify]: Extracting #7: cost 188 inf + 14860 340.963 * * [simplify]: Extracting #8: cost 133 inf + 36645 340.971 * * [simplify]: Extracting #9: cost 96 inf + 52063 340.982 * * [simplify]: Extracting #10: cost 56 inf + 66934 341.009 * * [simplify]: Extracting #11: cost 11 inf + 109499 341.038 * * [simplify]: Extracting #12: cost 1 inf + 121389 341.064 * * [simplify]: Extracting #13: cost 0 inf + 123494 341.088 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 341.088 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 341.089 * * * * [progress]: [ 1005 / 5906 ] simplifiying candidate # 341.089 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 341.089 * * [simplify]: iters left: 6 (46 enodes) 341.101 * * [simplify]: iters left: 5 (217 enodes) 341.166 * * [simplify]: Extracting #0: cost 1 inf + 0 341.166 * * [simplify]: Extracting #1: cost 3 inf + 0 341.166 * * [simplify]: Extracting #2: cost 6 inf + 0 341.166 * * [simplify]: Extracting #3: cost 54 inf + 0 341.166 * * [simplify]: Extracting #4: cost 119 inf + 0 341.166 * * [simplify]: Extracting #5: cost 166 inf + 2 341.167 * * [simplify]: Extracting #6: cost 227 inf + 785 341.168 * * [simplify]: Extracting #7: cost 208 inf + 3197 341.171 * * [simplify]: Extracting #8: cost 159 inf + 13662 341.177 * * [simplify]: Extracting #9: cost 97 inf + 38923 341.193 * * [simplify]: Extracting #10: cost 43 inf + 58091 341.223 * * [simplify]: Extracting #11: cost 11 inf + 88598 341.262 * * [simplify]: Extracting #12: cost 0 inf + 101393 341.304 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))))))) 341.304 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 341.305 * * * * [progress]: [ 1006 / 5906 ] simplifiying candidate # 341.306 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 341.306 * * [simplify]: iters left: 6 (51 enodes) 341.332 * * [simplify]: iters left: 5 (245 enodes) 341.420 * * [simplify]: Extracting #0: cost 1 inf + 0 341.420 * * [simplify]: Extracting #1: cost 3 inf + 0 341.420 * * [simplify]: Extracting #2: cost 10 inf + 0 341.420 * * [simplify]: Extracting #3: cost 74 inf + 0 341.421 * * [simplify]: Extracting #4: cost 137 inf + 1 341.422 * * [simplify]: Extracting #5: cost 186 inf + 249 341.424 * * [simplify]: Extracting #6: cost 238 inf + 2294 341.427 * * [simplify]: Extracting #7: cost 196 inf + 8911 341.439 * * [simplify]: Extracting #8: cost 126 inf + 30728 341.456 * * [simplify]: Extracting #9: cost 61 inf + 57831 341.489 * * [simplify]: Extracting #10: cost 18 inf + 96314 341.527 * * [simplify]: Extracting #11: cost 1 inf + 114819 341.556 * * [simplify]: Extracting #12: cost 0 inf + 116844 341.584 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) 341.584 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 341.585 * * * * [progress]: [ 1007 / 5906 ] simplifiying candidate # 341.586 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 341.588 * * [simplify]: iters left: 6 (46 enodes) 341.606 * * [simplify]: iters left: 5 (217 enodes) 341.659 * * [simplify]: Extracting #0: cost 1 inf + 0 341.659 * * [simplify]: Extracting #1: cost 3 inf + 0 341.659 * * [simplify]: Extracting #2: cost 10 inf + 0 341.660 * * [simplify]: Extracting #3: cost 66 inf + 0 341.660 * * [simplify]: Extracting #4: cost 117 inf + 44 341.661 * * [simplify]: Extracting #5: cost 154 inf + 618 341.663 * * [simplify]: Extracting #6: cost 208 inf + 2855 341.665 * * [simplify]: Extracting #7: cost 188 inf + 5791 341.672 * * [simplify]: Extracting #8: cost 124 inf + 21840 341.688 * * [simplify]: Extracting #9: cost 61 inf + 48909 341.720 * * [simplify]: Extracting #10: cost 9 inf + 88511 341.757 * * [simplify]: Extracting #11: cost 0 inf + 96563 341.794 * * [simplify]: Extracting #12: cost 0 inf + 96443 341.824 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 341.824 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 341.825 * * * * [progress]: [ 1008 / 5906 ] simplifiying candidate # 341.825 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 341.825 * * [simplify]: iters left: 6 (51 enodes) 341.838 * * [simplify]: iters left: 5 (245 enodes) 341.894 * * [simplify]: Extracting #0: cost 1 inf + 0 341.894 * * [simplify]: Extracting #1: cost 3 inf + 0 341.894 * * [simplify]: Extracting #2: cost 10 inf + 0 341.894 * * [simplify]: Extracting #3: cost 74 inf + 0 341.895 * * [simplify]: Extracting #4: cost 137 inf + 1 341.895 * * [simplify]: Extracting #5: cost 187 inf + 207 341.896 * * [simplify]: Extracting #6: cost 240 inf + 2371 341.900 * * [simplify]: Extracting #7: cost 190 inf + 10242 341.910 * * [simplify]: Extracting #8: cost 125 inf + 30912 341.927 * * [simplify]: Extracting #9: cost 55 inf + 63295 341.947 * * [simplify]: Extracting #10: cost 18 inf + 97194 341.987 * * [simplify]: Extracting #11: cost 1 inf + 115699 342.018 * * [simplify]: Extracting #12: cost 0 inf + 117724 342.056 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) 342.056 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 342.057 * * * * [progress]: [ 1009 / 5906 ] simplifiying candidate # 342.057 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 342.058 * * [simplify]: iters left: 6 (46 enodes) 342.069 * * [simplify]: iters left: 5 (217 enodes) 342.136 * * [simplify]: Extracting #0: cost 1 inf + 0 342.137 * * [simplify]: Extracting #1: cost 3 inf + 0 342.137 * * [simplify]: Extracting #2: cost 10 inf + 0 342.137 * * [simplify]: Extracting #3: cost 65 inf + 0 342.137 * * [simplify]: Extracting #4: cost 117 inf + 44 342.139 * * [simplify]: Extracting #5: cost 147 inf + 1472 342.140 * * [simplify]: Extracting #6: cost 207 inf + 3017 342.143 * * [simplify]: Extracting #7: cost 189 inf + 5749 342.150 * * [simplify]: Extracting #8: cost 122 inf + 22244 342.166 * * [simplify]: Extracting #9: cost 61 inf + 49189 342.182 * * [simplify]: Extracting #10: cost 9 inf + 88911 342.209 * * [simplify]: Extracting #11: cost 0 inf + 96963 342.237 * * [simplify]: Extracting #12: cost 0 inf + 96843 342.257 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2))))) 342.257 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 342.258 * * * * [progress]: [ 1010 / 5906 ] simplifiying candidate # 342.258 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 342.259 * * [simplify]: iters left: 6 (50 enodes) 342.286 * * [simplify]: iters left: 5 (238 enodes) 342.357 * * [simplify]: Extracting #0: cost 1 inf + 0 342.358 * * [simplify]: Extracting #1: cost 3 inf + 0 342.358 * * [simplify]: Extracting #2: cost 6 inf + 0 342.358 * * [simplify]: Extracting #3: cost 57 inf + 0 342.358 * * [simplify]: Extracting #4: cost 128 inf + 0 342.359 * * [simplify]: Extracting #5: cost 195 inf + 0 342.361 * * [simplify]: Extracting #6: cost 258 inf + 4266 342.364 * * [simplify]: Extracting #7: cost 210 inf + 12601 342.373 * * [simplify]: Extracting #8: cost 130 inf + 29983 342.392 * * [simplify]: Extracting #9: cost 57 inf + 60688 342.428 * * [simplify]: Extracting #10: cost 3 inf + 109777 342.450 * * [simplify]: Extracting #11: cost 0 inf + 112772 342.482 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 342.482 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 342.483 * * * * [progress]: [ 1011 / 5906 ] simplifiying candidate # 342.483 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 342.483 * * [simplify]: iters left: 6 (51 enodes) 342.496 * * [simplify]: iters left: 5 (247 enodes) 342.564 * * [simplify]: Extracting #0: cost 1 inf + 0 342.564 * * [simplify]: Extracting #1: cost 3 inf + 0 342.564 * * [simplify]: Extracting #2: cost 6 inf + 0 342.564 * * [simplify]: Extracting #3: cost 61 inf + 0 342.565 * * [simplify]: Extracting #4: cost 151 inf + 0 342.566 * * [simplify]: Extracting #5: cost 209 inf + 44 342.568 * * [simplify]: Extracting #6: cost 244 inf + 5212 342.574 * * [simplify]: Extracting #7: cost 197 inf + 15889 342.582 * * [simplify]: Extracting #8: cost 136 inf + 30754 342.590 * * [simplify]: Extracting #9: cost 96 inf + 47661 342.599 * * [simplify]: Extracting #10: cost 59 inf + 60394 342.612 * * [simplify]: Extracting #11: cost 30 inf + 82239 342.633 * * [simplify]: Extracting #12: cost 2 inf + 114099 342.659 * * [simplify]: Extracting #13: cost 0 inf + 116989 342.681 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) 342.681 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 342.681 * * * * [progress]: [ 1012 / 5906 ] simplifiying candidate # 342.682 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 342.682 * * [simplify]: iters left: 6 (51 enodes) 342.696 * * [simplify]: iters left: 5 (247 enodes) 342.750 * * [simplify]: Extracting #0: cost 1 inf + 0 342.750 * * [simplify]: Extracting #1: cost 3 inf + 0 342.750 * * [simplify]: Extracting #2: cost 6 inf + 0 342.750 * * [simplify]: Extracting #3: cost 63 inf + 0 342.750 * * [simplify]: Extracting #4: cost 149 inf + 0 342.751 * * [simplify]: Extracting #5: cost 205 inf + 44 342.752 * * [simplify]: Extracting #6: cost 240 inf + 4650 342.755 * * [simplify]: Extracting #7: cost 195 inf + 14788 342.760 * * [simplify]: Extracting #8: cost 139 inf + 28603 342.767 * * [simplify]: Extracting #9: cost 94 inf + 48660 342.786 * * [simplify]: Extracting #10: cost 37 inf + 75656 342.820 * * [simplify]: Extracting #11: cost 5 inf + 106776 342.845 * * [simplify]: Extracting #12: cost 0 inf + 113501 342.884 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 342.884 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 342.885 * * * * [progress]: [ 1013 / 5906 ] simplifiying candidate # 342.885 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 342.886 * * [simplify]: iters left: 6 (45 enodes) 342.906 * * [simplify]: iters left: 5 (211 enodes) 342.973 * * [simplify]: Extracting #0: cost 1 inf + 0 342.973 * * [simplify]: Extracting #1: cost 3 inf + 0 342.973 * * [simplify]: Extracting #2: cost 6 inf + 0 342.974 * * [simplify]: Extracting #3: cost 55 inf + 0 342.974 * * [simplify]: Extracting #4: cost 117 inf + 0 342.975 * * [simplify]: Extracting #5: cost 153 inf + 44 342.976 * * [simplify]: Extracting #6: cost 215 inf + 830 342.978 * * [simplify]: Extracting #7: cost 200 inf + 3844 342.985 * * [simplify]: Extracting #8: cost 121 inf + 22946 343.008 * * [simplify]: Extracting #9: cost 23 inf + 80149 343.027 * * [simplify]: Extracting #10: cost 1 inf + 91068 343.059 * * [simplify]: Extracting #11: cost 0 inf + 90600 343.094 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ lambda2 lambda1)) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))))))) 343.094 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ lambda2 lambda1)) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 343.095 * * * * [progress]: [ 1014 / 5906 ] simplifiying candidate # 343.095 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 343.095 * * [simplify]: iters left: 6 (50 enodes) 343.110 * * [simplify]: iters left: 5 (239 enodes) 343.187 * * [simplify]: Extracting #0: cost 1 inf + 0 343.187 * * [simplify]: Extracting #1: cost 3 inf + 0 343.187 * * [simplify]: Extracting #2: cost 10 inf + 0 343.188 * * [simplify]: Extracting #3: cost 75 inf + 0 343.188 * * [simplify]: Extracting #4: cost 142 inf + 1 343.189 * * [simplify]: Extracting #5: cost 182 inf + 207 343.191 * * [simplify]: Extracting #6: cost 238 inf + 2373 343.195 * * [simplify]: Extracting #7: cost 208 inf + 9955 343.203 * * [simplify]: Extracting #8: cost 132 inf + 27327 343.226 * * [simplify]: Extracting #9: cost 46 inf + 68034 343.262 * * [simplify]: Extracting #10: cost 4 inf + 104406 343.300 * * [simplify]: Extracting #11: cost 1 inf + 108881 343.326 * * [simplify]: Extracting #12: cost 0 inf + 110666 343.357 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 343.358 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 343.358 * * * * [progress]: [ 1015 / 5906 ] simplifiying candidate # 343.359 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 343.359 * * [simplify]: iters left: 6 (45 enodes) 343.382 * * [simplify]: iters left: 5 (211 enodes) 343.422 * * [simplify]: Extracting #0: cost 1 inf + 0 343.422 * * [simplify]: Extracting #1: cost 3 inf + 0 343.422 * * [simplify]: Extracting #2: cost 10 inf + 0 343.423 * * [simplify]: Extracting #3: cost 67 inf + 0 343.423 * * [simplify]: Extracting #4: cost 122 inf + 44 343.423 * * [simplify]: Extracting #5: cost 149 inf + 619 343.424 * * [simplify]: Extracting #6: cost 205 inf + 2976 343.426 * * [simplify]: Extracting #7: cost 195 inf + 5708 343.430 * * [simplify]: Extracting #8: cost 115 inf + 29089 343.442 * * [simplify]: Extracting #9: cost 27 inf + 71176 343.478 * * [simplify]: Extracting #10: cost 4 inf + 87311 343.515 * * [simplify]: Extracting #11: cost 0 inf + 90705 343.536 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) 343.536 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 343.536 * * * * [progress]: [ 1016 / 5906 ] simplifiying candidate # 343.537 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 343.537 * * [simplify]: iters left: 6 (50 enodes) 343.550 * * [simplify]: iters left: 5 (239 enodes) 343.617 * * [simplify]: Extracting #0: cost 1 inf + 0 343.617 * * [simplify]: Extracting #1: cost 3 inf + 0 343.617 * * [simplify]: Extracting #2: cost 10 inf + 0 343.617 * * [simplify]: Extracting #3: cost 75 inf + 0 343.617 * * [simplify]: Extracting #4: cost 142 inf + 1 343.618 * * [simplify]: Extracting #5: cost 183 inf + 165 343.619 * * [simplify]: Extracting #6: cost 235 inf + 3180 343.621 * * [simplify]: Extracting #7: cost 202 inf + 12012 343.625 * * [simplify]: Extracting #8: cost 134 inf + 26971 343.634 * * [simplify]: Extracting #9: cost 46 inf + 68395 343.667 * * [simplify]: Extracting #10: cost 4 inf + 105366 343.688 * * [simplify]: Extracting #11: cost 1 inf + 109841 343.725 * * [simplify]: Extracting #12: cost 0 inf + 111626 343.768 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 343.769 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 343.769 * * * * [progress]: [ 1017 / 5906 ] simplifiying candidate # 343.770 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 343.770 * * [simplify]: iters left: 6 (45 enodes) 343.783 * * [simplify]: iters left: 5 (211 enodes) 343.827 * * [simplify]: Extracting #0: cost 1 inf + 0 343.827 * * [simplify]: Extracting #1: cost 3 inf + 0 343.827 * * [simplify]: Extracting #2: cost 10 inf + 0 343.827 * * [simplify]: Extracting #3: cost 66 inf + 0 343.828 * * [simplify]: Extracting #4: cost 122 inf + 44 343.829 * * [simplify]: Extracting #5: cost 142 inf + 1472 343.831 * * [simplify]: Extracting #6: cost 206 inf + 2934 343.833 * * [simplify]: Extracting #7: cost 193 inf + 5911 343.841 * * [simplify]: Extracting #8: cost 116 inf + 29025 343.853 * * [simplify]: Extracting #9: cost 30 inf + 70023 343.870 * * [simplify]: Extracting #10: cost 4 inf + 87711 343.888 * * [simplify]: Extracting #11: cost 0 inf + 91105 343.907 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) 343.907 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 343.907 * * * * [progress]: [ 1018 / 5906 ] simplifiying candidate # 343.907 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 343.908 * * [simplify]: iters left: 6 (51 enodes) 343.923 * * [simplify]: iters left: 5 (243 enodes) 344.009 * * [simplify]: Extracting #0: cost 1 inf + 0 344.009 * * [simplify]: Extracting #1: cost 3 inf + 0 344.009 * * [simplify]: Extracting #2: cost 6 inf + 0 344.009 * * [simplify]: Extracting #3: cost 56 inf + 0 344.010 * * [simplify]: Extracting #4: cost 130 inf + 0 344.011 * * [simplify]: Extracting #5: cost 208 inf + 0 344.012 * * [simplify]: Extracting #6: cost 270 inf + 1791 344.016 * * [simplify]: Extracting #7: cost 200 inf + 13992 344.027 * * [simplify]: Extracting #8: cost 121 inf + 39655 344.050 * * [simplify]: Extracting #9: cost 62 inf + 61495 344.084 * * [simplify]: Extracting #10: cost 7 inf + 116630 344.108 * * [simplify]: Extracting #11: cost 1 inf + 125340 344.146 * * [simplify]: Extracting #12: cost 0 inf + 127445 344.171 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 344.171 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 344.172 * * * * [progress]: [ 1019 / 5906 ] simplifiying candidate # 344.172 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 344.173 * * [simplify]: iters left: 6 (52 enodes) 344.190 * * [simplify]: iters left: 5 (252 enodes) 344.267 * * [simplify]: Extracting #0: cost 1 inf + 0 344.267 * * [simplify]: Extracting #1: cost 3 inf + 0 344.267 * * [simplify]: Extracting #2: cost 6 inf + 0 344.267 * * [simplify]: Extracting #3: cost 60 inf + 0 344.267 * * [simplify]: Extracting #4: cost 153 inf + 0 344.269 * * [simplify]: Extracting #5: cost 222 inf + 44 344.271 * * [simplify]: Extracting #6: cost 248 inf + 5058 344.282 * * [simplify]: Extracting #7: cost 189 inf + 15870 344.296 * * [simplify]: Extracting #8: cost 104 inf + 47044 344.308 * * [simplify]: Extracting #9: cost 50 inf + 71612 344.328 * * [simplify]: Extracting #10: cost 8 inf + 117662 344.374 * * [simplify]: Extracting #11: cost 1 inf + 126237 344.404 * * [simplify]: Extracting #12: cost 0 inf + 128422 344.447 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 344.447 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 344.448 * * * * [progress]: [ 1020 / 5906 ] simplifiying candidate # 344.448 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 344.449 * * [simplify]: iters left: 6 (52 enodes) 344.475 * * [simplify]: iters left: 5 (252 enodes) 344.590 * * [simplify]: Extracting #0: cost 1 inf + 0 344.590 * * [simplify]: Extracting #1: cost 3 inf + 0 344.590 * * [simplify]: Extracting #2: cost 6 inf + 0 344.591 * * [simplify]: Extracting #3: cost 62 inf + 0 344.591 * * [simplify]: Extracting #4: cost 151 inf + 0 344.592 * * [simplify]: Extracting #5: cost 218 inf + 44 344.595 * * [simplify]: Extracting #6: cost 239 inf + 6627 344.602 * * [simplify]: Extracting #7: cost 186 inf + 16384 344.616 * * [simplify]: Extracting #8: cost 104 inf + 44949 344.638 * * [simplify]: Extracting #9: cost 49 inf + 71389 344.676 * * [simplify]: Extracting #10: cost 7 inf + 117199 344.718 * * [simplify]: Extracting #11: cost 1 inf + 123909 344.762 * * [simplify]: Extracting #12: cost 0 inf + 126094 344.797 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 344.797 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 344.798 * * * * [progress]: [ 1021 / 5906 ] simplifiying candidate # 344.798 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 344.798 * * [simplify]: iters left: 6 (46 enodes) 344.811 * * [simplify]: iters left: 5 (216 enodes) 344.889 * * [simplify]: Extracting #0: cost 1 inf + 0 344.889 * * [simplify]: Extracting #1: cost 3 inf + 0 344.889 * * [simplify]: Extracting #2: cost 6 inf + 0 344.890 * * [simplify]: Extracting #3: cost 54 inf + 0 344.890 * * [simplify]: Extracting #4: cost 119 inf + 0 344.891 * * [simplify]: Extracting #5: cost 165 inf + 86 344.892 * * [simplify]: Extracting #6: cost 222 inf + 1194 344.894 * * [simplify]: Extracting #7: cost 204 inf + 3966 344.901 * * [simplify]: Extracting #8: cost 133 inf + 22612 344.916 * * [simplify]: Extracting #9: cost 58 inf + 52350 344.943 * * [simplify]: Extracting #10: cost 11 inf + 91144 344.971 * * [simplify]: Extracting #11: cost 0 inf + 101913 345.002 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))))) 345.002 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 345.003 * * * * [progress]: [ 1022 / 5906 ] simplifiying candidate # 345.004 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 345.004 * * [simplify]: iters left: 6 (51 enodes) 345.025 * * [simplify]: iters left: 5 (244 enodes) 345.078 * * [simplify]: Extracting #0: cost 1 inf + 0 345.078 * * [simplify]: Extracting #1: cost 3 inf + 0 345.078 * * [simplify]: Extracting #2: cost 10 inf + 0 345.078 * * [simplify]: Extracting #3: cost 74 inf + 0 345.079 * * [simplify]: Extracting #4: cost 137 inf + 1 345.080 * * [simplify]: Extracting #5: cost 187 inf + 249 345.081 * * [simplify]: Extracting #6: cost 239 inf + 2172 345.086 * * [simplify]: Extracting #7: cost 189 inf + 11368 345.098 * * [simplify]: Extracting #8: cost 137 inf + 29701 345.112 * * [simplify]: Extracting #9: cost 92 inf + 46512 345.132 * * [simplify]: Extracting #10: cost 55 inf + 62069 345.163 * * [simplify]: Extracting #11: cost 17 inf + 95779 345.208 * * [simplify]: Extracting #12: cost 1 inf + 114939 345.255 * * [simplify]: Extracting #13: cost 0 inf + 116964 345.283 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))) 345.283 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 345.283 * * * * [progress]: [ 1023 / 5906 ] simplifiying candidate # 345.284 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 345.284 * * [simplify]: iters left: 6 (46 enodes) 345.295 * * [simplify]: iters left: 5 (216 enodes) 345.366 * * [simplify]: Extracting #0: cost 1 inf + 0 345.366 * * [simplify]: Extracting #1: cost 3 inf + 0 345.366 * * [simplify]: Extracting #2: cost 10 inf + 0 345.366 * * [simplify]: Extracting #3: cost 66 inf + 0 345.366 * * [simplify]: Extracting #4: cost 117 inf + 44 345.367 * * [simplify]: Extracting #5: cost 155 inf + 618 345.368 * * [simplify]: Extracting #6: cost 208 inf + 2855 345.370 * * [simplify]: Extracting #7: cost 181 inf + 6605 345.375 * * [simplify]: Extracting #8: cost 108 inf + 30714 345.388 * * [simplify]: Extracting #9: cost 51 inf + 55512 345.407 * * [simplify]: Extracting #10: cost 13 inf + 84544 345.444 * * [simplify]: Extracting #11: cost 0 inf + 97643 345.469 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1)))))) 345.469 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 345.470 * * * * [progress]: [ 1024 / 5906 ] simplifiying candidate # 345.470 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 345.470 * * [simplify]: iters left: 6 (51 enodes) 345.483 * * [simplify]: iters left: 5 (244 enodes) 345.570 * * [simplify]: Extracting #0: cost 1 inf + 0 345.570 * * [simplify]: Extracting #1: cost 3 inf + 0 345.570 * * [simplify]: Extracting #2: cost 10 inf + 0 345.570 * * [simplify]: Extracting #3: cost 74 inf + 0 345.570 * * [simplify]: Extracting #4: cost 137 inf + 1 345.571 * * [simplify]: Extracting #5: cost 188 inf + 207 345.571 * * [simplify]: Extracting #6: cost 240 inf + 2332 345.574 * * [simplify]: Extracting #7: cost 187 inf + 11691 345.578 * * [simplify]: Extracting #8: cost 137 inf + 29861 345.586 * * [simplify]: Extracting #9: cost 89 inf + 49307 345.605 * * [simplify]: Extracting #10: cost 49 inf + 66699 345.642 * * [simplify]: Extracting #11: cost 9 inf + 104379 345.686 * * [simplify]: Extracting #12: cost 0 inf + 116804 345.724 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 345.724 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 345.725 * * * * [progress]: [ 1025 / 5906 ] simplifiying candidate # 345.725 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 345.725 * * [simplify]: iters left: 6 (46 enodes) 345.737 * * [simplify]: iters left: 5 (216 enodes) 345.803 * * [simplify]: Extracting #0: cost 1 inf + 0 345.803 * * [simplify]: Extracting #1: cost 3 inf + 0 345.803 * * [simplify]: Extracting #2: cost 10 inf + 0 345.803 * * [simplify]: Extracting #3: cost 65 inf + 0 345.803 * * [simplify]: Extracting #4: cost 117 inf + 44 345.804 * * [simplify]: Extracting #5: cost 152 inf + 904 345.805 * * [simplify]: Extracting #6: cost 208 inf + 2976 345.806 * * [simplify]: Extracting #7: cost 187 inf + 5996 345.810 * * [simplify]: Extracting #8: cost 122 inf + 23870 345.819 * * [simplify]: Extracting #9: cost 48 inf + 58078 345.838 * * [simplify]: Extracting #10: cost 4 inf + 94009 345.861 * * [simplify]: Extracting #11: cost 0 inf + 98043 345.883 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 345.883 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 345.884 * * * * [progress]: [ 1026 / 5906 ] simplifiying candidate # 345.885 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 345.885 * * [simplify]: iters left: 6 (48 enodes) 345.909 * * [simplify]: iters left: 5 (230 enodes) 345.994 * * [simplify]: Extracting #0: cost 1 inf + 0 345.994 * * [simplify]: Extracting #1: cost 3 inf + 0 345.994 * * [simplify]: Extracting #2: cost 6 inf + 0 345.994 * * [simplify]: Extracting #3: cost 54 inf + 0 345.994 * * [simplify]: Extracting #4: cost 120 inf + 0 345.995 * * [simplify]: Extracting #5: cost 188 inf + 0 345.995 * * [simplify]: Extracting #6: cost 255 inf + 806 345.997 * * [simplify]: Extracting #7: cost 211 inf + 8710 346.004 * * [simplify]: Extracting #8: cost 110 inf + 32716 346.016 * * [simplify]: Extracting #9: cost 47 inf + 59713 346.051 * * [simplify]: Extracting #10: cost 2 inf + 104180 346.072 * * [simplify]: Extracting #11: cost 0 inf + 106390 346.100 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 346.101 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 346.101 * * * * [progress]: [ 1027 / 5906 ] simplifiying candidate # 346.101 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 346.102 * * [simplify]: iters left: 6 (49 enodes) 346.114 * * [simplify]: iters left: 5 (239 enodes) 346.200 * * [simplify]: Extracting #0: cost 1 inf + 0 346.200 * * [simplify]: Extracting #1: cost 3 inf + 0 346.200 * * [simplify]: Extracting #2: cost 6 inf + 0 346.200 * * [simplify]: Extracting #3: cost 58 inf + 0 346.201 * * [simplify]: Extracting #4: cost 143 inf + 0 346.202 * * [simplify]: Extracting #5: cost 201 inf + 85 346.204 * * [simplify]: Extracting #6: cost 230 inf + 5289 346.207 * * [simplify]: Extracting #7: cost 187 inf + 14391 346.212 * * [simplify]: Extracting #8: cost 131 inf + 29093 346.219 * * [simplify]: Extracting #9: cost 85 inf + 47958 346.231 * * [simplify]: Extracting #10: cost 52 inf + 59827 346.243 * * [simplify]: Extracting #11: cost 32 inf + 73367 346.276 * * [simplify]: Extracting #12: cost 2 inf + 105957 346.316 * * [simplify]: Extracting #13: cost 0 inf + 108927 346.356 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (+ phi2 phi1)) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 346.356 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (+ phi2 phi1)) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 346.357 * * * * [progress]: [ 1028 / 5906 ] simplifiying candidate # 346.358 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 346.358 * * [simplify]: iters left: 6 (49 enodes) 346.386 * * [simplify]: iters left: 5 (239 enodes) 346.488 * * [simplify]: Extracting #0: cost 1 inf + 0 346.488 * * [simplify]: Extracting #1: cost 3 inf + 0 346.488 * * [simplify]: Extracting #2: cost 6 inf + 0 346.488 * * [simplify]: Extracting #3: cost 60 inf + 0 346.489 * * [simplify]: Extracting #4: cost 141 inf + 0 346.489 * * [simplify]: Extracting #5: cost 196 inf + 166 346.491 * * [simplify]: Extracting #6: cost 219 inf + 7223 346.493 * * [simplify]: Extracting #7: cost 183 inf + 15246 346.499 * * [simplify]: Extracting #8: cost 102 inf + 38489 346.513 * * [simplify]: Extracting #9: cost 51 inf + 58608 346.536 * * [simplify]: Extracting #10: cost 31 inf + 72264 346.562 * * [simplify]: Extracting #11: cost 2 inf + 104829 346.584 * * [simplify]: Extracting #12: cost 0 inf + 107879 346.623 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))))) 346.623 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 346.625 * * * * [progress]: [ 1029 / 5906 ] simplifiying candidate # 346.625 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 346.626 * * [simplify]: iters left: 6 (43 enodes) 346.638 * * [simplify]: iters left: 5 (203 enodes) 346.687 * * [simplify]: Extracting #0: cost 1 inf + 0 346.687 * * [simplify]: Extracting #1: cost 3 inf + 0 346.687 * * [simplify]: Extracting #2: cost 6 inf + 0 346.687 * * [simplify]: Extracting #3: cost 52 inf + 0 346.687 * * [simplify]: Extracting #4: cost 109 inf + 0 346.688 * * [simplify]: Extracting #5: cost 145 inf + 126 346.689 * * [simplify]: Extracting #6: cost 197 inf + 1481 346.690 * * [simplify]: Extracting #7: cost 176 inf + 5994 346.694 * * [simplify]: Extracting #8: cost 119 inf + 23016 346.700 * * [simplify]: Extracting #9: cost 76 inf + 38161 346.716 * * [simplify]: Extracting #10: cost 33 inf + 54179 346.743 * * [simplify]: Extracting #11: cost 6 inf + 77668 346.770 * * [simplify]: Extracting #12: cost 0 inf + 85578 346.787 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1)))))) 346.787 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 346.788 * * * * [progress]: [ 1030 / 5906 ] simplifiying candidate # 346.788 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 346.788 * * [simplify]: iters left: 6 (48 enodes) 346.802 * * [simplify]: iters left: 5 (231 enodes) 346.868 * * [simplify]: Extracting #0: cost 1 inf + 0 346.868 * * [simplify]: Extracting #1: cost 3 inf + 0 346.869 * * [simplify]: Extracting #2: cost 10 inf + 0 346.869 * * [simplify]: Extracting #3: cost 72 inf + 0 346.869 * * [simplify]: Extracting #4: cost 126 inf + 42 346.869 * * [simplify]: Extracting #5: cost 168 inf + 207 346.870 * * [simplify]: Extracting #6: cost 220 inf + 2247 346.872 * * [simplify]: Extracting #7: cost 200 inf + 6912 346.875 * * [simplify]: Extracting #8: cost 134 inf + 22024 346.881 * * [simplify]: Extracting #9: cost 82 inf + 42793 346.892 * * [simplify]: Extracting #10: cost 23 inf + 74134 346.921 * * [simplify]: Extracting #11: cost 2 inf + 97179 346.943 * * [simplify]: Extracting #12: cost 0 inf + 99989 346.975 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))))))) 346.975 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 346.976 * * * * [progress]: [ 1031 / 5906 ] simplifiying candidate # 346.977 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 346.977 * * [simplify]: iters left: 6 (43 enodes) 346.998 * * [simplify]: iters left: 5 (203 enodes) 347.048 * * [simplify]: Extracting #0: cost 1 inf + 0 347.048 * * [simplify]: Extracting #1: cost 3 inf + 0 347.048 * * [simplify]: Extracting #2: cost 10 inf + 0 347.048 * * [simplify]: Extracting #3: cost 64 inf + 0 347.049 * * [simplify]: Extracting #4: cost 106 inf + 86 347.050 * * [simplify]: Extracting #5: cost 129 inf + 1310 347.051 * * [simplify]: Extracting #6: cost 186 inf + 2934 347.053 * * [simplify]: Extracting #7: cost 172 inf + 6477 347.056 * * [simplify]: Extracting #8: cost 113 inf + 19254 347.063 * * [simplify]: Extracting #9: cost 60 inf + 39488 347.075 * * [simplify]: Extracting #10: cost 28 inf + 56513 347.095 * * [simplify]: Extracting #11: cost 1 inf + 80683 347.127 * * [simplify]: Extracting #12: cost 0 inf + 82268 347.159 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))))) 347.159 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 347.160 * * * * [progress]: [ 1032 / 5906 ] simplifiying candidate # 347.161 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 347.161 * * [simplify]: iters left: 6 (48 enodes) 347.186 * * [simplify]: iters left: 5 (231 enodes) 347.249 * * [simplify]: Extracting #0: cost 1 inf + 0 347.249 * * [simplify]: Extracting #1: cost 3 inf + 0 347.249 * * [simplify]: Extracting #2: cost 10 inf + 0 347.250 * * [simplify]: Extracting #3: cost 72 inf + 0 347.250 * * [simplify]: Extracting #4: cost 126 inf + 42 347.251 * * [simplify]: Extracting #5: cost 168 inf + 207 347.253 * * [simplify]: Extracting #6: cost 218 inf + 2570 347.256 * * [simplify]: Extracting #7: cost 198 inf + 7687 347.262 * * [simplify]: Extracting #8: cost 136 inf + 22033 347.275 * * [simplify]: Extracting #9: cost 83 inf + 43328 347.297 * * [simplify]: Extracting #10: cost 23 inf + 75094 347.315 * * [simplify]: Extracting #11: cost 2 inf + 98139 347.345 * * [simplify]: Extracting #12: cost 0 inf + 100949 347.371 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))))))) 347.371 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 347.372 * * * * [progress]: [ 1033 / 5906 ] simplifiying candidate # 347.372 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 347.372 * * [simplify]: iters left: 6 (43 enodes) 347.383 * * [simplify]: iters left: 5 (203 enodes) 347.427 * * [simplify]: Extracting #0: cost 1 inf + 0 347.427 * * [simplify]: Extracting #1: cost 3 inf + 0 347.427 * * [simplify]: Extracting #2: cost 10 inf + 0 347.427 * * [simplify]: Extracting #3: cost 63 inf + 0 347.427 * * [simplify]: Extracting #4: cost 107 inf + 44 347.428 * * [simplify]: Extracting #5: cost 131 inf + 1146 347.429 * * [simplify]: Extracting #6: cost 186 inf + 2934 347.432 * * [simplify]: Extracting #7: cost 173 inf + 6113 347.438 * * [simplify]: Extracting #8: cost 111 inf + 20185 347.455 * * [simplify]: Extracting #9: cost 44 inf + 50526 347.474 * * [simplify]: Extracting #10: cost 8 inf + 76973 347.491 * * [simplify]: Extracting #11: cost 0 inf + 81068 347.519 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) 347.519 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 347.520 * * * * [progress]: [ 1034 / 5906 ] simplifiying candidate # 347.520 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 347.521 * * [simplify]: iters left: 6 (47 enodes) 347.544 * * [simplify]: iters left: 5 (232 enodes) 347.613 * * [simplify]: Extracting #0: cost 1 inf + 0 347.613 * * [simplify]: Extracting #1: cost 3 inf + 0 347.613 * * [simplify]: Extracting #2: cost 6 inf + 0 347.613 * * [simplify]: Extracting #3: cost 54 inf + 0 347.613 * * [simplify]: Extracting #4: cost 120 inf + 0 347.614 * * [simplify]: Extracting #5: cost 193 inf + 0 347.615 * * [simplify]: Extracting #6: cost 272 inf + 169 347.616 * * [simplify]: Extracting #7: cost 251 inf + 4068 347.619 * * [simplify]: Extracting #8: cost 159 inf + 22526 347.630 * * [simplify]: Extracting #9: cost 73 inf + 58213 347.653 * * [simplify]: Extracting #10: cost 33 inf + 75937 347.673 * * [simplify]: Extracting #11: cost 4 inf + 103742 347.716 * * [simplify]: Extracting #12: cost 0 inf + 110162 347.740 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 347.740 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 347.740 * * * * [progress]: [ 1035 / 5906 ] simplifiying candidate # 347.741 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 347.741 * * [simplify]: iters left: 6 (48 enodes) 347.763 * * [simplify]: iters left: 5 (241 enodes) 347.845 * * [simplify]: Extracting #0: cost 1 inf + 0 347.845 * * [simplify]: Extracting #1: cost 3 inf + 0 347.845 * * [simplify]: Extracting #2: cost 6 inf + 0 347.845 * * [simplify]: Extracting #3: cost 58 inf + 0 347.846 * * [simplify]: Extracting #4: cost 143 inf + 0 347.847 * * [simplify]: Extracting #5: cost 201 inf + 454 347.850 * * [simplify]: Extracting #6: cost 241 inf + 5614 347.855 * * [simplify]: Extracting #7: cost 223 inf + 10683 347.862 * * [simplify]: Extracting #8: cost 156 inf + 23045 347.876 * * [simplify]: Extracting #9: cost 82 inf + 53664 347.900 * * [simplify]: Extracting #10: cost 14 inf + 101273 347.942 * * [simplify]: Extracting #11: cost 0 inf + 112139 347.966 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))))) 347.966 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 347.967 * * * * [progress]: [ 1036 / 5906 ] simplifiying candidate # 347.967 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 347.968 * * [simplify]: iters left: 6 (48 enodes) 347.987 * * [simplify]: iters left: 5 (241 enodes) 348.091 * * [simplify]: Extracting #0: cost 1 inf + 0 348.091 * * [simplify]: Extracting #1: cost 3 inf + 0 348.091 * * [simplify]: Extracting #2: cost 6 inf + 0 348.091 * * [simplify]: Extracting #3: cost 60 inf + 0 348.091 * * [simplify]: Extracting #4: cost 141 inf + 0 348.092 * * [simplify]: Extracting #5: cost 198 inf + 252 348.093 * * [simplify]: Extracting #6: cost 248 inf + 3754 348.095 * * [simplify]: Extracting #7: cost 231 inf + 8930 348.099 * * [simplify]: Extracting #8: cost 160 inf + 22076 348.108 * * [simplify]: Extracting #9: cost 81 inf + 56838 348.135 * * [simplify]: Extracting #10: cost 15 inf + 100436 348.162 * * [simplify]: Extracting #11: cost 0 inf + 111171 348.189 * * [simplify]: Extracting #12: cost 0 inf + 111011 348.236 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (+ phi1 phi2) (- phi1 phi2)))))) 348.236 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (+ phi1 phi2) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 348.237 * * * * [progress]: [ 1037 / 5906 ] simplifiying candidate # 348.238 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 348.238 * * [simplify]: iters left: 6 (42 enodes) 348.259 * * [simplify]: iters left: 5 (205 enodes) 348.319 * * [simplify]: Extracting #0: cost 1 inf + 0 348.319 * * [simplify]: Extracting #1: cost 3 inf + 0 348.319 * * [simplify]: Extracting #2: cost 6 inf + 0 348.319 * * [simplify]: Extracting #3: cost 52 inf + 0 348.319 * * [simplify]: Extracting #4: cost 109 inf + 0 348.320 * * [simplify]: Extracting #5: cost 149 inf + 126 348.321 * * [simplify]: Extracting #6: cost 213 inf + 1313 348.324 * * [simplify]: Extracting #7: cost 203 inf + 4319 348.329 * * [simplify]: Extracting #8: cost 138 inf + 15611 348.340 * * [simplify]: Extracting #9: cost 86 inf + 34940 348.359 * * [simplify]: Extracting #10: cost 44 inf + 53425 348.372 * * [simplify]: Extracting #11: cost 26 inf + 64180 348.389 * * [simplify]: Extracting #12: cost 6 inf + 83200 348.419 * * [simplify]: Extracting #13: cost 0 inf + 89310 348.461 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 348.461 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 348.462 * * * * [progress]: [ 1038 / 5906 ] simplifiying candidate # 348.463 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 348.463 * * [simplify]: iters left: 6 (47 enodes) 348.490 * * [simplify]: iters left: 5 (233 enodes) 348.588 * * [simplify]: Extracting #0: cost 1 inf + 0 348.588 * * [simplify]: Extracting #1: cost 3 inf + 0 348.588 * * [simplify]: Extracting #2: cost 10 inf + 0 348.589 * * [simplify]: Extracting #3: cost 72 inf + 0 348.589 * * [simplify]: Extracting #4: cost 126 inf + 42 348.590 * * [simplify]: Extracting #5: cost 172 inf + 248 348.592 * * [simplify]: Extracting #6: cost 233 inf + 2728 348.595 * * [simplify]: Extracting #7: cost 224 inf + 6169 348.604 * * [simplify]: Extracting #8: cost 125 inf + 27632 348.624 * * [simplify]: Extracting #9: cost 45 inf + 64358 348.662 * * [simplify]: Extracting #10: cost 5 inf + 95876 348.704 * * [simplify]: Extracting #11: cost 0 inf + 103561 348.727 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) 348.727 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 348.727 * * * * [progress]: [ 1039 / 5906 ] simplifiying candidate # 348.728 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 348.728 * * [simplify]: iters left: 6 (42 enodes) 348.743 * * [simplify]: iters left: 5 (205 enodes) 348.786 * * [simplify]: Extracting #0: cost 1 inf + 0 348.786 * * [simplify]: Extracting #1: cost 3 inf + 0 348.786 * * [simplify]: Extracting #2: cost 10 inf + 0 348.786 * * [simplify]: Extracting #3: cost 64 inf + 0 348.786 * * [simplify]: Extracting #4: cost 106 inf + 86 348.787 * * [simplify]: Extracting #5: cost 134 inf + 1310 348.788 * * [simplify]: Extracting #6: cost 201 inf + 2932 348.789 * * [simplify]: Extracting #7: cost 201 inf + 4599 348.792 * * [simplify]: Extracting #8: cost 137 inf + 15566 348.797 * * [simplify]: Extracting #9: cost 89 inf + 33857 348.811 * * [simplify]: Extracting #10: cost 19 inf + 69351 348.836 * * [simplify]: Extracting #11: cost 2 inf + 83350 348.857 * * [simplify]: Extracting #12: cost 0 inf + 86400 348.887 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 348.887 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 348.887 * * * * [progress]: [ 1040 / 5906 ] simplifiying candidate # 348.888 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 348.888 * * [simplify]: iters left: 6 (47 enodes) 348.900 * * [simplify]: iters left: 5 (233 enodes) 348.965 * * [simplify]: Extracting #0: cost 1 inf + 0 348.965 * * [simplify]: Extracting #1: cost 3 inf + 0 348.965 * * [simplify]: Extracting #2: cost 10 inf + 0 348.965 * * [simplify]: Extracting #3: cost 72 inf + 0 348.965 * * [simplify]: Extracting #4: cost 126 inf + 42 348.966 * * [simplify]: Extracting #5: cost 170 inf + 452 348.967 * * [simplify]: Extracting #6: cost 236 inf + 2363 348.968 * * [simplify]: Extracting #7: cost 224 inf + 6329 348.972 * * [simplify]: Extracting #8: cost 125 inf + 27819 348.988 * * [simplify]: Extracting #9: cost 46 inf + 64293 349.027 * * [simplify]: Extracting #10: cost 5 inf + 96836 349.072 * * [simplify]: Extracting #11: cost 0 inf + 104521 349.110 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) 349.110 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 349.110 * * * * [progress]: [ 1041 / 5906 ] simplifiying candidate # 349.111 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 349.111 * * [simplify]: iters left: 6 (42 enodes) 349.121 * * [simplify]: iters left: 5 (205 enodes) 349.198 * * [simplify]: Extracting #0: cost 1 inf + 0 349.198 * * [simplify]: Extracting #1: cost 3 inf + 0 349.198 * * [simplify]: Extracting #2: cost 10 inf + 0 349.198 * * [simplify]: Extracting #3: cost 63 inf + 0 349.198 * * [simplify]: Extracting #4: cost 106 inf + 86 349.199 * * [simplify]: Extracting #5: cost 132 inf + 1634 349.200 * * [simplify]: Extracting #6: cost 201 inf + 2932 349.201 * * [simplify]: Extracting #7: cost 200 inf + 5000 349.206 * * [simplify]: Extracting #8: cost 136 inf + 15888 349.212 * * [simplify]: Extracting #9: cost 89 inf + 33299 349.225 * * [simplify]: Extracting #10: cost 20 inf + 69387 349.242 * * [simplify]: Extracting #11: cost 2 inf + 83790 349.261 * * [simplify]: Extracting #12: cost 0 inf + 86800 349.280 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 349.280 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 349.280 * * * * [progress]: [ 1042 / 5906 ] simplifiying candidate # 349.281 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 349.281 * * [simplify]: iters left: 6 (51 enodes) 349.294 * * [simplify]: iters left: 5 (250 enodes) 349.370 * * [simplify]: Extracting #0: cost 1 inf + 0 349.370 * * [simplify]: Extracting #1: cost 3 inf + 0 349.370 * * [simplify]: Extracting #2: cost 6 inf + 0 349.370 * * [simplify]: Extracting #3: cost 50 inf + 0 349.370 * * [simplify]: Extracting #4: cost 116 inf + 0 349.371 * * [simplify]: Extracting #5: cost 185 inf + 0 349.372 * * [simplify]: Extracting #6: cost 279 inf + 763 349.373 * * [simplify]: Extracting #7: cost 230 inf + 9981 349.378 * * [simplify]: Extracting #8: cost 149 inf + 24542 349.392 * * [simplify]: Extracting #9: cost 94 inf + 42742 349.417 * * [simplify]: Extracting #10: cost 48 inf + 64582 349.442 * * [simplify]: Extracting #11: cost 36 inf + 73322 349.476 * * [simplify]: Extracting #12: cost 8 inf + 99862 349.502 * * [simplify]: Extracting #13: cost 1 inf + 108357 349.531 * * [simplify]: Extracting #14: cost 0 inf + 110102 349.555 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 349.555 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 349.556 * * * * [progress]: [ 1043 / 5906 ] simplifiying candidate # 349.556 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 349.556 * * [simplify]: iters left: 6 (52 enodes) 349.570 * * [simplify]: iters left: 5 (259 enodes) 349.628 * * [simplify]: Extracting #0: cost 1 inf + 0 349.628 * * [simplify]: Extracting #1: cost 3 inf + 0 349.628 * * [simplify]: Extracting #2: cost 6 inf + 0 349.628 * * [simplify]: Extracting #3: cost 53 inf + 0 349.628 * * [simplify]: Extracting #4: cost 138 inf + 0 349.629 * * [simplify]: Extracting #5: cost 197 inf + 85 349.630 * * [simplify]: Extracting #6: cost 259 inf + 4035 349.633 * * [simplify]: Extracting #7: cost 229 inf + 10537 349.637 * * [simplify]: Extracting #8: cost 148 inf + 27413 349.652 * * [simplify]: Extracting #9: cost 86 inf + 53737 349.678 * * [simplify]: Extracting #10: cost 44 inf + 72434 349.703 * * [simplify]: Extracting #11: cost 29 inf + 82289 349.724 * * [simplify]: Extracting #12: cost 3 inf + 106979 349.760 * * [simplify]: Extracting #13: cost 0 inf + 112414 349.805 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (+ phi1 phi2)) (- phi1 phi2)) (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (+ phi1 phi2)))) 349.805 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (+ phi1 phi2)) (- phi1 phi2)) (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (+ phi1 phi2)))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 349.806 * * * * [progress]: [ 1044 / 5906 ] simplifiying candidate # 349.806 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 349.807 * * [simplify]: iters left: 6 (52 enodes) 349.834 * * [simplify]: iters left: 5 (259 enodes) 349.931 * * [simplify]: Extracting #0: cost 1 inf + 0 349.931 * * [simplify]: Extracting #1: cost 3 inf + 0 349.931 * * [simplify]: Extracting #2: cost 6 inf + 0 349.931 * * [simplify]: Extracting #3: cost 55 inf + 0 349.931 * * [simplify]: Extracting #4: cost 136 inf + 0 349.932 * * [simplify]: Extracting #5: cost 193 inf + 85 349.933 * * [simplify]: Extracting #6: cost 260 inf + 3266 349.935 * * [simplify]: Extracting #7: cost 231 inf + 9505 349.939 * * [simplify]: Extracting #8: cost 153 inf + 24985 349.952 * * [simplify]: Extracting #9: cost 105 inf + 41612 349.975 * * [simplify]: Extracting #10: cost 51 inf + 67358 350.003 * * [simplify]: Extracting #11: cost 29 inf + 81481 350.036 * * [simplify]: Extracting #12: cost 3 inf + 104931 350.064 * * [simplify]: Extracting #13: cost 0 inf + 110366 350.096 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) 350.097 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 350.097 * * * * [progress]: [ 1045 / 5906 ] simplifiying candidate # 350.097 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 350.098 * * [simplify]: iters left: 6 (46 enodes) 350.110 * * [simplify]: iters left: 5 (225 enodes) 350.169 * * [simplify]: Extracting #0: cost 1 inf + 0 350.169 * * [simplify]: Extracting #1: cost 3 inf + 0 350.169 * * [simplify]: Extracting #2: cost 6 inf + 0 350.169 * * [simplify]: Extracting #3: cost 47 inf + 0 350.169 * * [simplify]: Extracting #4: cost 104 inf + 0 350.170 * * [simplify]: Extracting #5: cost 141 inf + 167 350.172 * * [simplify]: Extracting #6: cost 219 inf + 1760 350.175 * * [simplify]: Extracting #7: cost 212 inf + 4559 350.183 * * [simplify]: Extracting #8: cost 117 inf + 23826 350.200 * * [simplify]: Extracting #9: cost 53 inf + 50026 350.223 * * [simplify]: Extracting #10: cost 27 inf + 64733 350.251 * * [simplify]: Extracting #11: cost 0 inf + 90088 350.271 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ phi1 phi2))))) 350.271 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 350.272 * * * * [progress]: [ 1046 / 5906 ] simplifiying candidate # 350.273 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 350.273 * * [simplify]: iters left: 6 (51 enodes) 350.291 * * [simplify]: iters left: 5 (252 enodes) 350.377 * * [simplify]: Extracting #0: cost 1 inf + 0 350.377 * * [simplify]: Extracting #1: cost 3 inf + 0 350.377 * * [simplify]: Extracting #2: cost 10 inf + 0 350.377 * * [simplify]: Extracting #3: cost 63 inf + 0 350.377 * * [simplify]: Extracting #4: cost 118 inf + 42 350.378 * * [simplify]: Extracting #5: cost 160 inf + 290 350.379 * * [simplify]: Extracting #6: cost 241 inf + 2003 350.382 * * [simplify]: Extracting #7: cost 220 inf + 7149 350.386 * * [simplify]: Extracting #8: cost 145 inf + 22836 350.394 * * [simplify]: Extracting #9: cost 86 inf + 45719 350.410 * * [simplify]: Extracting #10: cost 44 inf + 63684 350.423 * * [simplify]: Extracting #11: cost 31 inf + 71889 350.448 * * [simplify]: Extracting #12: cost 3 inf + 99229 350.491 * * [simplify]: Extracting #13: cost 1 inf + 102759 350.535 * * [simplify]: Extracting #14: cost 0 inf + 104544 350.578 * [simplify]: Simplified to (sqrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 350.578 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 350.579 * * * * [progress]: [ 1047 / 5906 ] simplifiying candidate # 350.580 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 350.580 * * [simplify]: iters left: 6 (46 enodes) 350.605 * * [simplify]: iters left: 5 (224 enodes) 350.670 * * [simplify]: Extracting #0: cost 1 inf + 0 350.670 * * [simplify]: Extracting #1: cost 3 inf + 0 350.670 * * [simplify]: Extracting #2: cost 10 inf + 0 350.670 * * [simplify]: Extracting #3: cost 58 inf + 0 350.671 * * [simplify]: Extracting #4: cost 104 inf + 44 350.672 * * [simplify]: Extracting #5: cost 131 inf + 862 350.674 * * [simplify]: Extracting #6: cost 211 inf + 2932 350.676 * * [simplify]: Extracting #7: cost 214 inf + 3952 350.683 * * [simplify]: Extracting #8: cost 116 inf + 23941 350.699 * * [simplify]: Extracting #9: cost 65 inf + 44878 350.718 * * [simplify]: Extracting #10: cost 23 inf + 68433 350.734 * * [simplify]: Extracting #11: cost 2 inf + 84972 350.765 * * [simplify]: Extracting #12: cost 0 inf + 87902 350.800 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)))))) 350.800 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 350.801 * * * * [progress]: [ 1048 / 5906 ] simplifiying candidate # 350.802 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 350.802 * * [simplify]: iters left: 6 (51 enodes) 350.832 * * [simplify]: iters left: 5 (252 enodes) 350.902 * * [simplify]: Extracting #0: cost 1 inf + 0 350.902 * * [simplify]: Extracting #1: cost 3 inf + 0 350.902 * * [simplify]: Extracting #2: cost 10 inf + 0 350.902 * * [simplify]: Extracting #3: cost 63 inf + 0 350.903 * * [simplify]: Extracting #4: cost 118 inf + 42 350.903 * * [simplify]: Extracting #5: cost 161 inf + 248 350.905 * * [simplify]: Extracting #6: cost 236 inf + 3213 350.909 * * [simplify]: Extracting #7: cost 215 inf + 8118 350.920 * * [simplify]: Extracting #8: cost 141 inf + 23824 350.932 * * [simplify]: Extracting #9: cost 87 inf + 44976 350.943 * * [simplify]: Extracting #10: cost 44 inf + 64484 350.956 * * [simplify]: Extracting #11: cost 31 inf + 72529 350.976 * * [simplify]: Extracting #12: cost 3 inf + 99869 351.008 * * [simplify]: Extracting #13: cost 1 inf + 103399 351.034 * * [simplify]: Extracting #14: cost 0 inf + 105184 351.079 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 351.079 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 351.081 * * * * [progress]: [ 1049 / 5906 ] simplifiying candidate # 351.081 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 351.082 * * [simplify]: iters left: 6 (46 enodes) 351.106 * * [simplify]: iters left: 5 (224 enodes) 351.157 * * [simplify]: Extracting #0: cost 1 inf + 0 351.157 * * [simplify]: Extracting #1: cost 3 inf + 0 351.157 * * [simplify]: Extracting #2: cost 10 inf + 0 351.157 * * [simplify]: Extracting #3: cost 57 inf + 0 351.158 * * [simplify]: Extracting #4: cost 104 inf + 44 351.158 * * [simplify]: Extracting #5: cost 129 inf + 1026 351.159 * * [simplify]: Extracting #6: cost 211 inf + 2932 351.160 * * [simplify]: Extracting #7: cost 214 inf + 3952 351.164 * * [simplify]: Extracting #8: cost 115 inf + 24223 351.172 * * [simplify]: Extracting #9: cost 62 inf + 46911 351.189 * * [simplify]: Extracting #10: cost 24 inf + 67848 351.210 * * [simplify]: Extracting #11: cost 2 inf + 85292 351.228 * * [simplify]: Extracting #12: cost 0 inf + 88222 351.247 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)))))) 351.247 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 351.247 * * * * [progress]: [ 1050 / 5906 ] simplifiying candidate # 351.248 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 351.248 * * [simplify]: iters left: 6 (47 enodes) 351.262 * * [simplify]: iters left: 5 (228 enodes) 351.332 * * [simplify]: Extracting #0: cost 1 inf + 0 351.332 * * [simplify]: Extracting #1: cost 3 inf + 0 351.332 * * [simplify]: Extracting #2: cost 6 inf + 0 351.332 * * [simplify]: Extracting #3: cost 48 inf + 0 351.333 * * [simplify]: Extracting #4: cost 112 inf + 0 351.333 * * [simplify]: Extracting #5: cost 185 inf + 0 351.335 * * [simplify]: Extracting #6: cost 263 inf + 291 351.337 * * [simplify]: Extracting #7: cost 237 inf + 4880 351.347 * * [simplify]: Extracting #8: cost 125 inf + 33347 351.385 * * [simplify]: Extracting #9: cost 9 inf + 99532 351.426 * * [simplify]: Extracting #10: cost 0 inf + 105808 351.448 * * [simplify]: Extracting #11: cost 0 inf + 104608 351.480 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 351.480 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 351.480 * * * * [progress]: [ 1051 / 5906 ] simplifiying candidate # 351.481 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 351.481 * * [simplify]: iters left: 6 (48 enodes) 351.493 * * [simplify]: iters left: 5 (237 enodes) 351.558 * * [simplify]: Extracting #0: cost 1 inf + 0 351.558 * * [simplify]: Extracting #1: cost 3 inf + 0 351.558 * * [simplify]: Extracting #2: cost 6 inf + 0 351.558 * * [simplify]: Extracting #3: cost 52 inf + 0 351.558 * * [simplify]: Extracting #4: cost 135 inf + 0 351.559 * * [simplify]: Extracting #5: cost 193 inf + 534 351.560 * * [simplify]: Extracting #6: cost 233 inf + 5774 351.562 * * [simplify]: Extracting #7: cost 220 inf + 9863 351.567 * * [simplify]: Extracting #8: cost 150 inf + 21973 351.574 * * [simplify]: Extracting #9: cost 79 inf + 49177 351.608 * * [simplify]: Extracting #10: cost 10 inf + 98457 351.631 * * [simplify]: Extracting #11: cost 0 inf + 108025 351.662 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) 351.662 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 351.664 * * * * [progress]: [ 1052 / 5906 ] simplifiying candidate # 351.665 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 351.665 * * [simplify]: iters left: 6 (48 enodes) 351.691 * * [simplify]: iters left: 5 (237 enodes) 351.801 * * [simplify]: Extracting #0: cost 1 inf + 0 351.801 * * [simplify]: Extracting #1: cost 3 inf + 0 351.801 * * [simplify]: Extracting #2: cost 6 inf + 0 351.801 * * [simplify]: Extracting #3: cost 54 inf + 0 351.801 * * [simplify]: Extracting #4: cost 133 inf + 0 351.802 * * [simplify]: Extracting #5: cost 190 inf + 332 351.805 * * [simplify]: Extracting #6: cost 237 inf + 4640 351.809 * * [simplify]: Extracting #7: cost 218 inf + 9869 351.813 * * [simplify]: Extracting #8: cost 144 inf + 23468 351.820 * * [simplify]: Extracting #9: cost 90 inf + 41896 351.832 * * [simplify]: Extracting #10: cost 44 inf + 65618 351.851 * * [simplify]: Extracting #11: cost 3 inf + 103182 351.878 * * [simplify]: Extracting #12: cost 0 inf + 107017 351.900 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (+ phi1 phi2) (- phi1 phi2)))))) 351.900 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (+ phi1 phi2) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 351.901 * * * * [progress]: [ 1053 / 5906 ] simplifiying candidate # 351.901 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 351.902 * * [simplify]: iters left: 6 (42 enodes) 351.919 * * [simplify]: iters left: 5 (202 enodes) 352.003 * * [simplify]: Extracting #0: cost 1 inf + 0 352.003 * * [simplify]: Extracting #1: cost 3 inf + 0 352.003 * * [simplify]: Extracting #2: cost 6 inf + 0 352.003 * * [simplify]: Extracting #3: cost 46 inf + 0 352.003 * * [simplify]: Extracting #4: cost 101 inf + 0 352.004 * * [simplify]: Extracting #5: cost 141 inf + 168 352.005 * * [simplify]: Extracting #6: cost 206 inf + 1152 352.008 * * [simplify]: Extracting #7: cost 194 inf + 4721 352.015 * * [simplify]: Extracting #8: cost 119 inf + 20907 352.031 * * [simplify]: Extracting #9: cost 53 inf + 47956 352.047 * * [simplify]: Extracting #10: cost 10 inf + 78700 352.066 * * [simplify]: Extracting #11: cost 0 inf + 85796 352.097 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) 352.097 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 352.098 * * * * [progress]: [ 1054 / 5906 ] simplifiying candidate # 352.098 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 352.098 * * [simplify]: iters left: 6 (47 enodes) 352.112 * * [simplify]: iters left: 5 (230 enodes) 352.208 * * [simplify]: Extracting #0: cost 1 inf + 0 352.208 * * [simplify]: Extracting #1: cost 3 inf + 0 352.208 * * [simplify]: Extracting #2: cost 10 inf + 0 352.208 * * [simplify]: Extracting #3: cost 62 inf + 0 352.209 * * [simplify]: Extracting #4: cost 115 inf + 42 352.209 * * [simplify]: Extracting #5: cost 160 inf + 290 352.211 * * [simplify]: Extracting #6: cost 223 inf + 2485 352.214 * * [simplify]: Extracting #7: cost 213 inf + 5888 352.221 * * [simplify]: Extracting #8: cost 129 inf + 23192 352.237 * * [simplify]: Extracting #9: cost 62 inf + 48694 352.271 * * [simplify]: Extracting #10: cost 16 inf + 83283 352.300 * * [simplify]: Extracting #11: cost 0 inf + 98292 352.324 * * [simplify]: Extracting #12: cost 0 inf + 97732 352.349 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) 352.349 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 352.350 * * * * [progress]: [ 1055 / 5906 ] simplifiying candidate # 352.351 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 352.351 * * [simplify]: iters left: 6 (42 enodes) 352.363 * * [simplify]: iters left: 5 (203 enodes) 352.440 * * [simplify]: Extracting #0: cost 1 inf + 0 352.440 * * [simplify]: Extracting #1: cost 3 inf + 0 352.440 * * [simplify]: Extracting #2: cost 10 inf + 0 352.440 * * [simplify]: Extracting #3: cost 54 inf + 0 352.441 * * [simplify]: Extracting #4: cost 94 inf + 208 352.441 * * [simplify]: Extracting #5: cost 122 inf + 1513 352.442 * * [simplify]: Extracting #6: cost 192 inf + 2689 352.443 * * [simplify]: Extracting #7: cost 189 inf + 4520 352.447 * * [simplify]: Extracting #8: cost 99 inf + 25349 352.457 * * [simplify]: Extracting #9: cost 38 inf + 55112 352.474 * * [simplify]: Extracting #10: cost 4 inf + 78244 352.507 * * [simplify]: Extracting #11: cost 1 inf + 79586 352.540 * * [simplify]: Extracting #12: cost 0 inf + 81131 352.578 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ phi1 phi2) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 352.578 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ phi1 phi2) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 352.579 * * * * [progress]: [ 1056 / 5906 ] simplifiying candidate # 352.580 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 352.580 * * [simplify]: iters left: 6 (47 enodes) 352.604 * * [simplify]: iters left: 5 (230 enodes) 352.694 * * [simplify]: Extracting #0: cost 1 inf + 0 352.694 * * [simplify]: Extracting #1: cost 3 inf + 0 352.694 * * [simplify]: Extracting #2: cost 10 inf + 0 352.694 * * [simplify]: Extracting #3: cost 62 inf + 0 352.694 * * [simplify]: Extracting #4: cost 115 inf + 42 352.695 * * [simplify]: Extracting #5: cost 159 inf + 332 352.696 * * [simplify]: Extracting #6: cost 218 inf + 3615 352.697 * * [simplify]: Extracting #7: cost 214 inf + 5807 352.700 * * [simplify]: Extracting #8: cost 129 inf + 23352 352.708 * * [simplify]: Extracting #9: cost 63 inf + 48189 352.735 * * [simplify]: Extracting #10: cost 17 inf + 82419 352.775 * * [simplify]: Extracting #11: cost 0 inf + 99092 352.815 * * [simplify]: Extracting #12: cost 0 inf + 98532 352.855 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) 352.855 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 352.857 * * * * [progress]: [ 1057 / 5906 ] simplifiying candidate # 352.857 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 352.858 * * [simplify]: iters left: 6 (42 enodes) 352.882 * * [simplify]: iters left: 5 (203 enodes) 352.960 * * [simplify]: Extracting #0: cost 1 inf + 0 352.961 * * [simplify]: Extracting #1: cost 3 inf + 0 352.961 * * [simplify]: Extracting #2: cost 10 inf + 0 352.961 * * [simplify]: Extracting #3: cost 53 inf + 0 352.961 * * [simplify]: Extracting #4: cost 95 inf + 86 352.962 * * [simplify]: Extracting #5: cost 123 inf + 1310 352.965 * * [simplify]: Extracting #6: cost 190 inf + 2932 352.968 * * [simplify]: Extracting #7: cost 190 inf + 4438 352.973 * * [simplify]: Extracting #8: cost 126 inf + 15368 352.984 * * [simplify]: Extracting #9: cost 79 inf + 33327 353.007 * * [simplify]: Extracting #10: cost 26 inf + 59723 353.040 * * [simplify]: Extracting #11: cost 2 inf + 79761 353.058 * * [simplify]: Extracting #12: cost 0 inf + 81451 353.081 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (- phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (+ phi1 phi2) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 353.081 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (- phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (+ phi1 phi2) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 353.082 * * * * [progress]: [ 1058 / 5906 ] simplifiying candidate # 353.083 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 353.084 * * [simplify]: iters left: 6 (51 enodes) 353.110 * * [simplify]: iters left: 5 (256 enodes) 353.209 * * [simplify]: Extracting #0: cost 1 inf + 0 353.209 * * [simplify]: Extracting #1: cost 3 inf + 0 353.209 * * [simplify]: Extracting #2: cost 6 inf + 0 353.209 * * [simplify]: Extracting #3: cost 56 inf + 0 353.209 * * [simplify]: Extracting #4: cost 130 inf + 0 353.210 * * [simplify]: Extracting #5: cost 214 inf + 0 353.211 * * [simplify]: Extracting #6: cost 304 inf + 551 353.212 * * [simplify]: Extracting #7: cost 264 inf + 8128 353.217 * * [simplify]: Extracting #8: cost 170 inf + 28309 353.225 * * [simplify]: Extracting #9: cost 109 inf + 46230 353.247 * * [simplify]: Extracting #10: cost 53 inf + 73629 353.291 * * [simplify]: Extracting #11: cost 10 inf + 112460 353.342 * * [simplify]: Extracting #12: cost 1 inf + 124285 353.393 * * [simplify]: Extracting #13: cost 0 inf + 126310 353.445 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 353.445 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 353.446 * * * * [progress]: [ 1059 / 5906 ] simplifiying candidate # 353.446 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 353.447 * * [simplify]: iters left: 6 (52 enodes) 353.471 * * [simplify]: iters left: 5 (265 enodes) 353.553 * * [simplify]: Extracting #0: cost 1 inf + 0 353.553 * * [simplify]: Extracting #1: cost 3 inf + 0 353.553 * * [simplify]: Extracting #2: cost 6 inf + 0 353.553 * * [simplify]: Extracting #3: cost 60 inf + 0 353.554 * * [simplify]: Extracting #4: cost 153 inf + 0 353.554 * * [simplify]: Extracting #5: cost 226 inf + 127 353.555 * * [simplify]: Extracting #6: cost 282 inf + 4359 353.558 * * [simplify]: Extracting #7: cost 248 inf + 10604 353.566 * * [simplify]: Extracting #8: cost 160 inf + 33509 353.577 * * [simplify]: Extracting #9: cost 86 inf + 63690 353.599 * * [simplify]: Extracting #10: cost 47 inf + 82232 353.643 * * [simplify]: Extracting #11: cost 9 inf + 116782 353.681 * * [simplify]: Extracting #12: cost 0 inf + 129087 353.713 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 353.713 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 353.714 * * * * [progress]: [ 1060 / 5906 ] simplifiying candidate # 353.714 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 353.715 * * [simplify]: iters left: 6 (52 enodes) 353.728 * * [simplify]: iters left: 5 (265 enodes) 353.821 * * [simplify]: Extracting #0: cost 1 inf + 0 353.822 * * [simplify]: Extracting #1: cost 3 inf + 0 353.822 * * [simplify]: Extracting #2: cost 6 inf + 0 353.822 * * [simplify]: Extracting #3: cost 62 inf + 0 353.822 * * [simplify]: Extracting #4: cost 151 inf + 0 353.823 * * [simplify]: Extracting #5: cost 223 inf + 85 353.825 * * [simplify]: Extracting #6: cost 287 inf + 2902 353.830 * * [simplify]: Extracting #7: cost 252 inf + 9786 353.838 * * [simplify]: Extracting #8: cost 175 inf + 25746 353.847 * * [simplify]: Extracting #9: cost 102 inf + 54185 353.864 * * [simplify]: Extracting #10: cost 29 inf + 94354 353.888 * * [simplify]: Extracting #11: cost 3 inf + 120684 353.921 * * [simplify]: Extracting #12: cost 0 inf + 127079 353.950 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ phi1 phi2)))) 353.950 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ phi1 phi2)))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 353.951 * * * * [progress]: [ 1061 / 5906 ] simplifiying candidate # 353.951 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 353.951 * * [simplify]: iters left: 6 (46 enodes) 353.963 * * [simplify]: iters left: 5 (229 enodes) 354.014 * * [simplify]: Extracting #0: cost 1 inf + 0 354.014 * * [simplify]: Extracting #1: cost 3 inf + 0 354.014 * * [simplify]: Extracting #2: cost 6 inf + 0 354.014 * * [simplify]: Extracting #3: cost 54 inf + 0 354.014 * * [simplify]: Extracting #4: cost 119 inf + 0 354.015 * * [simplify]: Extracting #5: cost 170 inf + 167 354.015 * * [simplify]: Extracting #6: cost 242 inf + 1962 354.017 * * [simplify]: Extracting #7: cost 232 inf + 4680 354.021 * * [simplify]: Extracting #8: cost 130 inf + 27791 354.040 * * [simplify]: Extracting #9: cost 57 inf + 59258 354.058 * * [simplify]: Extracting #10: cost 9 inf + 96063 354.080 * * [simplify]: Extracting #11: cost 0 inf + 104178 354.103 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) 354.103 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 354.104 * * * * [progress]: [ 1062 / 5906 ] simplifiying candidate # 354.104 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 354.104 * * [simplify]: iters left: 6 (51 enodes) 354.120 * * [simplify]: iters left: 5 (257 enodes) 354.177 * * [simplify]: Extracting #0: cost 1 inf + 0 354.177 * * [simplify]: Extracting #1: cost 3 inf + 0 354.177 * * [simplify]: Extracting #2: cost 10 inf + 0 354.177 * * [simplify]: Extracting #3: cost 74 inf + 0 354.178 * * [simplify]: Extracting #4: cost 136 inf + 42 354.179 * * [simplify]: Extracting #5: cost 193 inf + 249 354.181 * * [simplify]: Extracting #6: cost 269 inf + 2164 354.188 * * [simplify]: Extracting #7: cost 248 inf + 6982 354.194 * * [simplify]: Extracting #8: cost 181 inf + 19121 354.206 * * [simplify]: Extracting #9: cost 116 inf + 38334 354.230 * * [simplify]: Extracting #10: cost 47 inf + 73831 354.260 * * [simplify]: Extracting #11: cost 3 inf + 113754 354.294 * * [simplify]: Extracting #12: cost 1 inf + 117764 354.324 * * [simplify]: Extracting #13: cost 0 inf + 119789 354.365 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 354.365 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 354.366 * * * * [progress]: [ 1063 / 5906 ] simplifiying candidate # 354.366 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 354.366 * * [simplify]: iters left: 6 (46 enodes) 354.378 * * [simplify]: iters left: 5 (229 enodes) 354.458 * * [simplify]: Extracting #0: cost 1 inf + 0 354.459 * * [simplify]: Extracting #1: cost 3 inf + 0 354.459 * * [simplify]: Extracting #2: cost 10 inf + 0 354.459 * * [simplify]: Extracting #3: cost 66 inf + 0 354.459 * * [simplify]: Extracting #4: cost 117 inf + 44 354.460 * * [simplify]: Extracting #5: cost 161 inf + 618 354.462 * * [simplify]: Extracting #6: cost 238 inf + 2244 354.464 * * [simplify]: Extracting #7: cost 234 inf + 4312 354.471 * * [simplify]: Extracting #8: cost 155 inf + 18036 354.483 * * [simplify]: Extracting #9: cost 105 inf + 37074 354.506 * * [simplify]: Extracting #10: cost 43 inf + 67815 354.525 * * [simplify]: Extracting #11: cost 8 inf + 91948 354.553 * * [simplify]: Extracting #12: cost 0 inf + 101228 354.595 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ phi1 phi2))))) 354.595 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 354.596 * * * * [progress]: [ 1064 / 5906 ] simplifiying candidate # 354.596 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 354.597 * * [simplify]: iters left: 6 (51 enodes) 354.619 * * [simplify]: iters left: 5 (257 enodes) 354.674 * * [simplify]: Extracting #0: cost 1 inf + 0 354.674 * * [simplify]: Extracting #1: cost 3 inf + 0 354.674 * * [simplify]: Extracting #2: cost 10 inf + 0 354.674 * * [simplify]: Extracting #3: cost 74 inf + 0 354.674 * * [simplify]: Extracting #4: cost 136 inf + 42 354.675 * * [simplify]: Extracting #5: cost 193 inf + 248 354.676 * * [simplify]: Extracting #6: cost 271 inf + 1838 354.680 * * [simplify]: Extracting #7: cost 243 inf + 8432 354.684 * * [simplify]: Extracting #8: cost 183 inf + 18797 354.689 * * [simplify]: Extracting #9: cost 122 inf + 36080 354.707 * * [simplify]: Extracting #10: cost 45 inf + 75660 354.742 * * [simplify]: Extracting #11: cost 3 inf + 114714 354.775 * * [simplify]: Extracting #12: cost 1 inf + 118724 354.807 * * [simplify]: Extracting #13: cost 0 inf + 120749 354.845 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 354.845 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 354.845 * * * * [progress]: [ 1065 / 5906 ] simplifiying candidate # 354.846 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 354.846 * * [simplify]: iters left: 6 (46 enodes) 354.859 * * [simplify]: iters left: 5 (229 enodes) 354.911 * * [simplify]: Extracting #0: cost 1 inf + 0 354.911 * * [simplify]: Extracting #1: cost 3 inf + 0 354.911 * * [simplify]: Extracting #2: cost 10 inf + 0 354.912 * * [simplify]: Extracting #3: cost 65 inf + 0 354.912 * * [simplify]: Extracting #4: cost 117 inf + 44 354.913 * * [simplify]: Extracting #5: cost 155 inf + 1350 354.914 * * [simplify]: Extracting #6: cost 234 inf + 2932 354.915 * * [simplify]: Extracting #7: cost 229 inf + 5081 354.921 * * [simplify]: Extracting #8: cost 154 inf + 19200 354.937 * * [simplify]: Extracting #9: cost 94 inf + 46053 354.961 * * [simplify]: Extracting #10: cost 39 inf + 68932 355.000 * * [simplify]: Extracting #11: cost 7 inf + 93013 355.043 * * [simplify]: Extracting #12: cost 0 inf + 101628 355.088 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ phi1 phi2))))) 355.088 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 355.089 * * * * [progress]: [ 1066 / 5906 ] simplifiying candidate # 355.089 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 355.090 * * [simplify]: iters left: 6 (52 enodes) 355.116 * * [simplify]: iters left: 5 (253 enodes) 355.216 * * [simplify]: Extracting #0: cost 1 inf + 0 355.216 * * [simplify]: Extracting #1: cost 3 inf + 0 355.216 * * [simplify]: Extracting #2: cost 6 inf + 0 355.216 * * [simplify]: Extracting #3: cost 56 inf + 0 355.217 * * [simplify]: Extracting #4: cost 130 inf + 0 355.220 * * [simplify]: Extracting #5: cost 216 inf + 0 355.221 * * [simplify]: Extracting #6: cost 306 inf + 298 355.222 * * [simplify]: Extracting #7: cost 276 inf + 4183 355.225 * * [simplify]: Extracting #8: cost 180 inf + 24506 355.233 * * [simplify]: Extracting #9: cost 104 inf + 48076 355.251 * * [simplify]: Extracting #10: cost 53 inf + 72165 355.282 * * [simplify]: Extracting #11: cost 14 inf + 112098 355.318 * * [simplify]: Extracting #12: cost 0 inf + 130648 355.366 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 355.366 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 355.367 * * * * [progress]: [ 1067 / 5906 ] simplifiying candidate # 355.367 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 355.368 * * [simplify]: iters left: 6 (53 enodes) 355.388 * * [simplify]: iters left: 5 (262 enodes) 355.478 * * [simplify]: Extracting #0: cost 1 inf + 0 355.478 * * [simplify]: Extracting #1: cost 3 inf + 0 355.478 * * [simplify]: Extracting #2: cost 6 inf + 0 355.479 * * [simplify]: Extracting #3: cost 60 inf + 0 355.479 * * [simplify]: Extracting #4: cost 153 inf + 0 355.480 * * [simplify]: Extracting #5: cost 230 inf + 44 355.483 * * [simplify]: Extracting #6: cost 287 inf + 3591 355.489 * * [simplify]: Extracting #7: cost 216 inf + 16340 355.500 * * [simplify]: Extracting #8: cost 152 inf + 32021 355.518 * * [simplify]: Extracting #9: cost 101 inf + 53370 355.558 * * [simplify]: Extracting #10: cost 13 inf + 118620 355.603 * * [simplify]: Extracting #11: cost 0 inf + 132305 355.660 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 355.661 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 355.662 * * * * [progress]: [ 1068 / 5906 ] simplifiying candidate # 355.663 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 355.664 * * [simplify]: iters left: 6 (53 enodes) 355.694 * * [simplify]: iters left: 5 (262 enodes) 355.789 * * [simplify]: Extracting #0: cost 1 inf + 0 355.789 * * [simplify]: Extracting #1: cost 3 inf + 0 355.789 * * [simplify]: Extracting #2: cost 6 inf + 0 355.789 * * [simplify]: Extracting #3: cost 62 inf + 0 355.790 * * [simplify]: Extracting #4: cost 151 inf + 0 355.791 * * [simplify]: Extracting #5: cost 226 inf + 44 355.794 * * [simplify]: Extracting #6: cost 283 inf + 3791 355.800 * * [simplify]: Extracting #7: cost 221 inf + 16047 355.813 * * [simplify]: Extracting #8: cost 130 inf + 40763 355.828 * * [simplify]: Extracting #9: cost 58 inf + 72322 355.851 * * [simplify]: Extracting #10: cost 10 inf + 117087 355.893 * * [simplify]: Extracting #11: cost 0 inf + 130217 355.929 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 355.929 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 355.931 * * * * [progress]: [ 1069 / 5906 ] simplifiying candidate # 355.931 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 355.932 * * [simplify]: iters left: 6 (47 enodes) 355.955 * * [simplify]: iters left: 5 (226 enodes) 356.024 * * [simplify]: Extracting #0: cost 1 inf + 0 356.024 * * [simplify]: Extracting #1: cost 3 inf + 0 356.024 * * [simplify]: Extracting #2: cost 6 inf + 0 356.024 * * [simplify]: Extracting #3: cost 54 inf + 0 356.025 * * [simplify]: Extracting #4: cost 119 inf + 0 356.026 * * [simplify]: Extracting #5: cost 174 inf + 44 356.031 * * [simplify]: Extracting #6: cost 248 inf + 1151 356.034 * * [simplify]: Extracting #7: cost 230 inf + 4037 356.040 * * [simplify]: Extracting #8: cost 151 inf + 20959 356.056 * * [simplify]: Extracting #9: cost 76 inf + 47021 356.076 * * [simplify]: Extracting #10: cost 11 inf + 94126 356.106 * * [simplify]: Extracting #11: cost 1 inf + 104811 356.142 * * [simplify]: Extracting #12: cost 0 inf + 106716 356.165 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 356.165 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 356.166 * * * * [progress]: [ 1070 / 5906 ] simplifiying candidate # 356.167 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 356.167 * * [simplify]: iters left: 6 (52 enodes) 356.196 * * [simplify]: iters left: 5 (254 enodes) 356.269 * * [simplify]: Extracting #0: cost 1 inf + 0 356.269 * * [simplify]: Extracting #1: cost 3 inf + 0 356.269 * * [simplify]: Extracting #2: cost 10 inf + 0 356.269 * * [simplify]: Extracting #3: cost 74 inf + 0 356.270 * * [simplify]: Extracting #4: cost 137 inf + 1 356.271 * * [simplify]: Extracting #5: cost 196 inf + 207 356.273 * * [simplify]: Extracting #6: cost 264 inf + 3171 356.282 * * [simplify]: Extracting #7: cost 199 inf + 17049 356.293 * * [simplify]: Extracting #8: cost 147 inf + 30612 356.311 * * [simplify]: Extracting #9: cost 100 inf + 52086 356.335 * * [simplify]: Extracting #10: cost 53 inf + 70562 356.364 * * [simplify]: Extracting #11: cost 8 inf + 112607 356.398 * * [simplify]: Extracting #12: cost 1 inf + 122182 356.436 * * [simplify]: Extracting #13: cost 0 inf + 124287 356.471 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 356.471 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 356.472 * * * * [progress]: [ 1071 / 5906 ] simplifiying candidate # 356.473 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 356.473 * * [simplify]: iters left: 6 (47 enodes) 356.489 * * [simplify]: iters left: 5 (226 enodes) 356.541 * * [simplify]: Extracting #0: cost 1 inf + 0 356.541 * * [simplify]: Extracting #1: cost 3 inf + 0 356.541 * * [simplify]: Extracting #2: cost 10 inf + 0 356.542 * * [simplify]: Extracting #3: cost 66 inf + 0 356.542 * * [simplify]: Extracting #4: cost 117 inf + 44 356.542 * * [simplify]: Extracting #5: cost 160 inf + 1104 356.543 * * [simplify]: Extracting #6: cost 234 inf + 2972 356.545 * * [simplify]: Extracting #7: cost 229 inf + 4075 356.554 * * [simplify]: Extracting #8: cost 133 inf + 28106 356.575 * * [simplify]: Extracting #9: cost 58 inf + 59603 356.608 * * [simplify]: Extracting #10: cost 5 inf + 97467 356.648 * * [simplify]: Extracting #11: cost 0 inf + 102686 356.686 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))) 356.686 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 356.686 * * * * [progress]: [ 1072 / 5906 ] simplifiying candidate # 356.687 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 356.687 * * [simplify]: iters left: 6 (52 enodes) 356.702 * * [simplify]: iters left: 5 (254 enodes) 356.755 * * [simplify]: Extracting #0: cost 1 inf + 0 356.755 * * [simplify]: Extracting #1: cost 3 inf + 0 356.755 * * [simplify]: Extracting #2: cost 10 inf + 0 356.755 * * [simplify]: Extracting #3: cost 74 inf + 0 356.756 * * [simplify]: Extracting #4: cost 137 inf + 1 356.756 * * [simplify]: Extracting #5: cost 196 inf + 207 356.757 * * [simplify]: Extracting #6: cost 264 inf + 3572 356.759 * * [simplify]: Extracting #7: cost 233 inf + 8893 356.763 * * [simplify]: Extracting #8: cost 180 inf + 19740 356.775 * * [simplify]: Extracting #9: cost 119 inf + 37502 356.793 * * [simplify]: Extracting #10: cost 58 inf + 67024 356.815 * * [simplify]: Extracting #11: cost 8 inf + 113567 356.862 * * [simplify]: Extracting #12: cost 1 inf + 123142 356.913 * * [simplify]: Extracting #13: cost 0 inf + 125247 356.965 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 356.965 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 356.967 * * * * [progress]: [ 1073 / 5906 ] simplifiying candidate # 356.967 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 356.968 * * [simplify]: iters left: 6 (47 enodes) 356.992 * * [simplify]: iters left: 5 (226 enodes) 357.070 * * [simplify]: Extracting #0: cost 1 inf + 0 357.070 * * [simplify]: Extracting #1: cost 3 inf + 0 357.070 * * [simplify]: Extracting #2: cost 10 inf + 0 357.071 * * [simplify]: Extracting #3: cost 65 inf + 0 357.071 * * [simplify]: Extracting #4: cost 116 inf + 86 357.071 * * [simplify]: Extracting #5: cost 155 inf + 1634 357.072 * * [simplify]: Extracting #6: cost 234 inf + 2932 357.074 * * [simplify]: Extracting #7: cost 228 inf + 4115 357.080 * * [simplify]: Extracting #8: cost 134 inf + 27818 357.091 * * [simplify]: Extracting #9: cost 57 inf + 60729 357.108 * * [simplify]: Extracting #10: cost 6 inf + 97935 357.141 * * [simplify]: Extracting #11: cost 0 inf + 103326 357.181 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 357.182 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 357.183 * * * * [progress]: [ 1074 / 5906 ] simplifiying candidate # 357.183 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 357.184 * * [simplify]: iters left: 6 (52 enodes) 357.211 * * [simplify]: iters left: 5 (254 enodes) 357.299 * * [simplify]: Extracting #0: cost 1 inf + 0 357.299 * * [simplify]: Extracting #1: cost 3 inf + 0 357.299 * * [simplify]: Extracting #2: cost 6 inf + 0 357.299 * * [simplify]: Extracting #3: cost 56 inf + 0 357.299 * * [simplify]: Extracting #4: cost 130 inf + 0 357.299 * * [simplify]: Extracting #5: cost 211 inf + 0 357.300 * * [simplify]: Extracting #6: cost 300 inf + 342 357.302 * * [simplify]: Extracting #7: cost 240 inf + 11618 357.309 * * [simplify]: Extracting #8: cost 162 inf + 27640 357.324 * * [simplify]: Extracting #9: cost 106 inf + 48019 357.356 * * [simplify]: Extracting #10: cost 42 inf + 81109 357.380 * * [simplify]: Extracting #11: cost 6 inf + 122028 357.419 * * [simplify]: Extracting #12: cost 0 inf + 130738 357.453 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 357.453 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 357.454 * * * * [progress]: [ 1075 / 5906 ] simplifiying candidate # 357.455 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 357.455 * * [simplify]: iters left: 6 (53 enodes) 357.474 * * [simplify]: iters left: 5 (263 enodes) 357.542 * * [simplify]: Extracting #0: cost 1 inf + 0 357.542 * * [simplify]: Extracting #1: cost 3 inf + 0 357.542 * * [simplify]: Extracting #2: cost 6 inf + 0 357.542 * * [simplify]: Extracting #3: cost 60 inf + 0 357.543 * * [simplify]: Extracting #4: cost 153 inf + 0 357.543 * * [simplify]: Extracting #5: cost 224 inf + 85 357.545 * * [simplify]: Extracting #6: cost 272 inf + 4650 357.550 * * [simplify]: Extracting #7: cost 237 inf + 12034 357.564 * * [simplify]: Extracting #8: cost 168 inf + 27514 357.582 * * [simplify]: Extracting #9: cost 102 inf + 56891 357.603 * * [simplify]: Extracting #10: cost 45 inf + 83590 357.624 * * [simplify]: Extracting #11: cost 12 inf + 117135 357.666 * * [simplify]: Extracting #12: cost 0 inf + 131995 357.714 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 357.714 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 357.715 * * * * [progress]: [ 1076 / 5906 ] simplifiying candidate # 357.715 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 357.715 * * [simplify]: iters left: 6 (53 enodes) 357.729 * * [simplify]: iters left: 5 (263 enodes) 357.806 * * [simplify]: Extracting #0: cost 1 inf + 0 357.807 * * [simplify]: Extracting #1: cost 3 inf + 0 357.807 * * [simplify]: Extracting #2: cost 6 inf + 0 357.807 * * [simplify]: Extracting #3: cost 62 inf + 0 357.807 * * [simplify]: Extracting #4: cost 151 inf + 0 357.809 * * [simplify]: Extracting #5: cost 220 inf + 86 357.811 * * [simplify]: Extracting #6: cost 276 inf + 3756 357.816 * * [simplify]: Extracting #7: cost 239 inf + 12032 357.827 * * [simplify]: Extracting #8: cost 154 inf + 30670 357.847 * * [simplify]: Extracting #9: cost 71 inf + 63942 357.883 * * [simplify]: Extracting #10: cost 18 inf + 111581 357.908 * * [simplify]: Extracting #11: cost 0 inf + 130827 357.943 * * [simplify]: Extracting #12: cost 0 inf + 130747 357.975 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 357.975 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 357.976 * * * * [progress]: [ 1077 / 5906 ] simplifiying candidate # 357.977 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 357.977 * * [simplify]: iters left: 6 (47 enodes) 358.001 * * [simplify]: iters left: 5 (227 enodes) 358.074 * * [simplify]: Extracting #0: cost 1 inf + 0 358.074 * * [simplify]: Extracting #1: cost 3 inf + 0 358.075 * * [simplify]: Extracting #2: cost 6 inf + 0 358.075 * * [simplify]: Extracting #3: cost 54 inf + 0 358.075 * * [simplify]: Extracting #4: cost 119 inf + 0 358.075 * * [simplify]: Extracting #5: cost 169 inf + 44 358.076 * * [simplify]: Extracting #6: cost 239 inf + 1359 358.078 * * [simplify]: Extracting #7: cost 195 inf + 9793 358.082 * * [simplify]: Extracting #8: cost 144 inf + 21906 358.090 * * [simplify]: Extracting #9: cost 96 inf + 44202 358.101 * * [simplify]: Extracting #10: cost 42 inf + 65049 358.128 * * [simplify]: Extracting #11: cost 6 inf + 97696 358.167 * * [simplify]: Extracting #12: cost 1 inf + 104701 358.210 * * [simplify]: Extracting #13: cost 0 inf + 106566 358.246 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 358.246 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 358.246 * * * * [progress]: [ 1078 / 5906 ] simplifiying candidate # 358.247 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 358.247 * * [simplify]: iters left: 6 (52 enodes) 358.260 * * [simplify]: iters left: 5 (255 enodes) 358.360 * * [simplify]: Extracting #0: cost 1 inf + 0 358.360 * * [simplify]: Extracting #1: cost 3 inf + 0 358.360 * * [simplify]: Extracting #2: cost 10 inf + 0 358.360 * * [simplify]: Extracting #3: cost 74 inf + 0 358.361 * * [simplify]: Extracting #4: cost 137 inf + 1 358.361 * * [simplify]: Extracting #5: cost 191 inf + 207 358.362 * * [simplify]: Extracting #6: cost 252 inf + 4032 358.365 * * [simplify]: Extracting #7: cost 213 inf + 13419 358.370 * * [simplify]: Extracting #8: cost 151 inf + 29092 358.379 * * [simplify]: Extracting #9: cost 90 inf + 53897 358.391 * * [simplify]: Extracting #10: cost 45 inf + 77294 358.430 * * [simplify]: Extracting #11: cost 7 inf + 111922 358.481 * * [simplify]: Extracting #12: cost 1 inf + 120512 358.528 * * [simplify]: Extracting #13: cost 0 inf + 122537 358.576 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 358.576 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 358.577 * * * * [progress]: [ 1079 / 5906 ] simplifiying candidate # 358.577 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 358.578 * * [simplify]: iters left: 6 (47 enodes) 358.602 * * [simplify]: iters left: 5 (227 enodes) 358.688 * * [simplify]: Extracting #0: cost 1 inf + 0 358.688 * * [simplify]: Extracting #1: cost 3 inf + 0 358.688 * * [simplify]: Extracting #2: cost 10 inf + 0 358.689 * * [simplify]: Extracting #3: cost 66 inf + 0 358.689 * * [simplify]: Extracting #4: cost 117 inf + 44 358.689 * * [simplify]: Extracting #5: cost 155 inf + 984 358.690 * * [simplify]: Extracting #6: cost 228 inf + 2976 358.692 * * [simplify]: Extracting #7: cost 197 inf + 8867 358.698 * * [simplify]: Extracting #8: cost 107 inf + 37577 358.709 * * [simplify]: Extracting #9: cost 51 inf + 61980 358.727 * * [simplify]: Extracting #10: cost 4 inf + 96516 358.770 * * [simplify]: Extracting #11: cost 1 inf + 101911 358.811 * * [simplify]: Extracting #12: cost 0 inf + 103736 358.834 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) 358.834 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 358.835 * * * * [progress]: [ 1080 / 5906 ] simplifiying candidate # 358.835 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 358.835 * * [simplify]: iters left: 6 (52 enodes) 358.849 * * [simplify]: iters left: 5 (255 enodes) 358.939 * * [simplify]: Extracting #0: cost 1 inf + 0 358.939 * * [simplify]: Extracting #1: cost 3 inf + 0 358.939 * * [simplify]: Extracting #2: cost 10 inf + 0 358.940 * * [simplify]: Extracting #3: cost 74 inf + 0 358.940 * * [simplify]: Extracting #4: cost 137 inf + 1 358.941 * * [simplify]: Extracting #5: cost 191 inf + 207 358.943 * * [simplify]: Extracting #6: cost 256 inf + 2782 358.947 * * [simplify]: Extracting #7: cost 218 inf + 12209 358.958 * * [simplify]: Extracting #8: cost 148 inf + 30992 358.976 * * [simplify]: Extracting #9: cost 90 inf + 55338 358.989 * * [simplify]: Extracting #10: cost 45 inf + 78254 359.017 * * [simplify]: Extracting #11: cost 7 inf + 112882 359.047 * * [simplify]: Extracting #12: cost 1 inf + 121472 359.086 * * [simplify]: Extracting #13: cost 0 inf + 123497 359.135 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 359.135 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 359.136 * * * * [progress]: [ 1081 / 5906 ] simplifiying candidate # 359.137 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 359.137 * * [simplify]: iters left: 6 (47 enodes) 359.161 * * [simplify]: iters left: 5 (227 enodes) 359.209 * * [simplify]: Extracting #0: cost 1 inf + 0 359.209 * * [simplify]: Extracting #1: cost 3 inf + 0 359.209 * * [simplify]: Extracting #2: cost 10 inf + 0 359.209 * * [simplify]: Extracting #3: cost 65 inf + 0 359.209 * * [simplify]: Extracting #4: cost 116 inf + 86 359.210 * * [simplify]: Extracting #5: cost 151 inf + 1472 359.211 * * [simplify]: Extracting #6: cost 228 inf + 2976 359.213 * * [simplify]: Extracting #7: cost 199 inf + 8541 359.219 * * [simplify]: Extracting #8: cost 107 inf + 37817 359.235 * * [simplify]: Extracting #9: cost 51 inf + 62380 359.271 * * [simplify]: Extracting #10: cost 5 inf + 96704 359.310 * * [simplify]: Extracting #11: cost 1 inf + 102311 359.351 * * [simplify]: Extracting #12: cost 0 inf + 104136 359.392 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) 359.392 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 359.393 * * * * [progress]: [ 1082 / 5906 ] simplifiying candidate # 359.393 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 359.394 * * [simplify]: iters left: 6 (52 enodes) 359.415 * * [simplify]: iters left: 5 (254 enodes) 359.481 * * [simplify]: Extracting #0: cost 1 inf + 0 359.482 * * [simplify]: Extracting #1: cost 3 inf + 0 359.482 * * [simplify]: Extracting #2: cost 6 inf + 0 359.482 * * [simplify]: Extracting #3: cost 56 inf + 0 359.482 * * [simplify]: Extracting #4: cost 130 inf + 0 359.482 * * [simplify]: Extracting #5: cost 215 inf + 0 359.483 * * [simplify]: Extracting #6: cost 305 inf + 510 359.485 * * [simplify]: Extracting #7: cost 248 inf + 12287 359.493 * * [simplify]: Extracting #8: cost 161 inf + 30344 359.509 * * [simplify]: Extracting #9: cost 102 inf + 51227 359.542 * * [simplify]: Extracting #10: cost 41 inf + 83105 359.571 * * [simplify]: Extracting #11: cost 6 inf + 121378 359.611 * * [simplify]: Extracting #12: cost 1 inf + 127503 359.641 * * [simplify]: Extracting #13: cost 0 inf + 129568 359.684 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 359.684 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 359.685 * * * * [progress]: [ 1083 / 5906 ] simplifiying candidate # 359.686 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 359.687 * * [simplify]: iters left: 6 (53 enodes) 359.716 * * [simplify]: iters left: 5 (263 enodes) 359.796 * * [simplify]: Extracting #0: cost 1 inf + 0 359.796 * * [simplify]: Extracting #1: cost 3 inf + 0 359.796 * * [simplify]: Extracting #2: cost 6 inf + 0 359.796 * * [simplify]: Extracting #3: cost 60 inf + 0 359.800 * * [simplify]: Extracting #4: cost 153 inf + 0 359.803 * * [simplify]: Extracting #5: cost 228 inf + 85 359.806 * * [simplify]: Extracting #6: cost 281 inf + 4321 359.811 * * [simplify]: Extracting #7: cost 242 inf + 11166 359.820 * * [simplify]: Extracting #8: cost 177 inf + 24312 359.836 * * [simplify]: Extracting #9: cost 105 inf + 52479 359.862 * * [simplify]: Extracting #10: cost 51 inf + 78236 359.906 * * [simplify]: Extracting #11: cost 10 inf + 121535 359.957 * * [simplify]: Extracting #12: cost 0 inf + 134105 360.006 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 360.006 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 360.007 * * * * [progress]: [ 1084 / 5906 ] simplifiying candidate # 360.007 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 360.007 * * [simplify]: iters left: 6 (53 enodes) 360.020 * * [simplify]: iters left: 5 (263 enodes) 360.124 * * [simplify]: Extracting #0: cost 1 inf + 0 360.124 * * [simplify]: Extracting #1: cost 3 inf + 0 360.124 * * [simplify]: Extracting #2: cost 6 inf + 0 360.124 * * [simplify]: Extracting #3: cost 62 inf + 0 360.124 * * [simplify]: Extracting #4: cost 151 inf + 0 360.126 * * [simplify]: Extracting #5: cost 224 inf + 86 360.128 * * [simplify]: Extracting #6: cost 282 inf + 4352 360.134 * * [simplify]: Extracting #7: cost 233 inf + 12316 360.148 * * [simplify]: Extracting #8: cost 132 inf + 44146 360.162 * * [simplify]: Extracting #9: cost 50 inf + 78072 360.189 * * [simplify]: Extracting #10: cost 13 inf + 114132 360.237 * * [simplify]: Extracting #11: cost 0 inf + 128857 360.288 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 360.288 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 360.289 * * * * [progress]: [ 1085 / 5906 ] simplifiying candidate # 360.290 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 360.291 * * [simplify]: iters left: 6 (47 enodes) 360.313 * * [simplify]: iters left: 5 (227 enodes) 360.391 * * [simplify]: Extracting #0: cost 1 inf + 0 360.391 * * [simplify]: Extracting #1: cost 3 inf + 0 360.391 * * [simplify]: Extracting #2: cost 6 inf + 0 360.391 * * [simplify]: Extracting #3: cost 54 inf + 0 360.391 * * [simplify]: Extracting #4: cost 119 inf + 0 360.392 * * [simplify]: Extracting #5: cost 173 inf + 44 360.392 * * [simplify]: Extracting #6: cost 246 inf + 1234 360.394 * * [simplify]: Extracting #7: cost 228 inf + 4561 360.396 * * [simplify]: Extracting #8: cost 171 inf + 14080 360.404 * * [simplify]: Extracting #9: cost 107 inf + 35182 360.424 * * [simplify]: Extracting #10: cost 47 inf + 62266 360.444 * * [simplify]: Extracting #11: cost 7 inf + 96981 360.473 * * [simplify]: Extracting #12: cost 1 inf + 105131 360.509 * * [simplify]: Extracting #13: cost 0 inf + 107036 360.537 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 360.537 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 360.538 * * * * [progress]: [ 1086 / 5906 ] simplifiying candidate # 360.539 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 360.540 * * [simplify]: iters left: 6 (52 enodes) 360.567 * * [simplify]: iters left: 5 (255 enodes) 360.650 * * [simplify]: Extracting #0: cost 1 inf + 0 360.650 * * [simplify]: Extracting #1: cost 3 inf + 0 360.650 * * [simplify]: Extracting #2: cost 10 inf + 0 360.650 * * [simplify]: Extracting #3: cost 74 inf + 0 360.650 * * [simplify]: Extracting #4: cost 137 inf + 1 360.651 * * [simplify]: Extracting #5: cost 195 inf + 207 360.652 * * [simplify]: Extracting #6: cost 264 inf + 3373 360.653 * * [simplify]: Extracting #7: cost 250 inf + 5810 360.657 * * [simplify]: Extracting #8: cost 175 inf + 20453 360.663 * * [simplify]: Extracting #9: cost 109 inf + 41619 360.675 * * [simplify]: Extracting #10: cost 52 inf + 70909 360.709 * * [simplify]: Extracting #11: cost 7 inf + 112672 360.734 * * [simplify]: Extracting #12: cost 1 inf + 119902 360.761 * * [simplify]: Extracting #13: cost 0 inf + 121927 360.787 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 360.787 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 360.788 * * * * [progress]: [ 1087 / 5906 ] simplifiying candidate # 360.789 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 360.789 * * [simplify]: iters left: 6 (47 enodes) 360.814 * * [simplify]: iters left: 5 (227 enodes) 360.875 * * [simplify]: Extracting #0: cost 1 inf + 0 360.875 * * [simplify]: Extracting #1: cost 3 inf + 0 360.875 * * [simplify]: Extracting #2: cost 10 inf + 0 360.876 * * [simplify]: Extracting #3: cost 66 inf + 0 360.876 * * [simplify]: Extracting #4: cost 117 inf + 44 360.877 * * [simplify]: Extracting #5: cost 160 inf + 862 360.879 * * [simplify]: Extracting #6: cost 234 inf + 2932 360.882 * * [simplify]: Extracting #7: cost 223 inf + 5164 360.889 * * [simplify]: Extracting #8: cost 136 inf + 25290 360.910 * * [simplify]: Extracting #9: cost 59 inf + 60664 360.942 * * [simplify]: Extracting #10: cost 6 inf + 96522 360.963 * * [simplify]: Extracting #11: cost 1 inf + 100941 360.986 * * [simplify]: Extracting #12: cost 0 inf + 102766 361.008 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))))) 361.008 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 361.008 * * * * [progress]: [ 1088 / 5906 ] simplifiying candidate # 361.009 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 361.009 * * [simplify]: iters left: 6 (52 enodes) 361.022 * * [simplify]: iters left: 5 (255 enodes) 361.114 * * [simplify]: Extracting #0: cost 1 inf + 0 361.114 * * [simplify]: Extracting #1: cost 3 inf + 0 361.114 * * [simplify]: Extracting #2: cost 10 inf + 0 361.114 * * [simplify]: Extracting #3: cost 74 inf + 0 361.114 * * [simplify]: Extracting #4: cost 137 inf + 1 361.115 * * [simplify]: Extracting #5: cost 195 inf + 207 361.116 * * [simplify]: Extracting #6: cost 268 inf + 2084 361.117 * * [simplify]: Extracting #7: cost 254 inf + 4802 361.121 * * [simplify]: Extracting #8: cost 172 inf + 21899 361.128 * * [simplify]: Extracting #9: cost 110 inf + 41634 361.140 * * [simplify]: Extracting #10: cost 52 inf + 71709 361.163 * * [simplify]: Extracting #11: cost 7 inf + 113632 361.205 * * [simplify]: Extracting #12: cost 1 inf + 120862 361.250 * * [simplify]: Extracting #13: cost 0 inf + 122887 361.278 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 361.278 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 361.278 * * * * [progress]: [ 1089 / 5906 ] simplifiying candidate # 361.279 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 361.279 * * [simplify]: iters left: 6 (47 enodes) 361.292 * * [simplify]: iters left: 5 (227 enodes) 361.387 * * [simplify]: Extracting #0: cost 1 inf + 0 361.388 * * [simplify]: Extracting #1: cost 3 inf + 0 361.388 * * [simplify]: Extracting #2: cost 10 inf + 0 361.388 * * [simplify]: Extracting #3: cost 65 inf + 0 361.389 * * [simplify]: Extracting #4: cost 116 inf + 86 361.390 * * [simplify]: Extracting #5: cost 155 inf + 1472 361.392 * * [simplify]: Extracting #6: cost 234 inf + 2932 361.395 * * [simplify]: Extracting #7: cost 224 inf + 5082 361.407 * * [simplify]: Extracting #8: cost 127 inf + 29794 361.429 * * [simplify]: Extracting #9: cost 57 inf + 61070 361.446 * * [simplify]: Extracting #10: cost 6 inf + 97402 361.474 * * [simplify]: Extracting #11: cost 1 inf + 102181 361.499 * * [simplify]: Extracting #12: cost 0 inf + 104046 361.521 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))))) 361.521 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 361.522 * * * * [progress]: [ 1090 / 5906 ] simplifiying candidate # 361.522 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 361.522 * * [simplify]: iters left: 6 (52 enodes) 361.543 * * [simplify]: iters left: 5 (254 enodes) 361.616 * * [simplify]: Extracting #0: cost 1 inf + 0 361.617 * * [simplify]: Extracting #1: cost 3 inf + 0 361.617 * * [simplify]: Extracting #2: cost 6 inf + 0 361.617 * * [simplify]: Extracting #3: cost 56 inf + 0 361.617 * * [simplify]: Extracting #4: cost 130 inf + 0 361.617 * * [simplify]: Extracting #5: cost 212 inf + 0 361.618 * * [simplify]: Extracting #6: cost 299 inf + 554 361.620 * * [simplify]: Extracting #7: cost 238 inf + 13292 361.625 * * [simplify]: Extracting #8: cost 164 inf + 26760 361.632 * * [simplify]: Extracting #9: cost 111 inf + 44806 361.650 * * [simplify]: Extracting #10: cost 41 inf + 82014 361.693 * * [simplify]: Extracting #11: cost 6 inf + 121868 361.744 * * [simplify]: Extracting #12: cost 1 inf + 128513 361.794 * * [simplify]: Extracting #13: cost 0 inf + 130578 361.844 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) 361.844 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 361.846 * * * * [progress]: [ 1091 / 5906 ] simplifiying candidate # 361.846 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 361.847 * * [simplify]: iters left: 6 (53 enodes) 361.874 * * [simplify]: iters left: 5 (263 enodes) 361.958 * * [simplify]: Extracting #0: cost 1 inf + 0 361.958 * * [simplify]: Extracting #1: cost 3 inf + 0 361.959 * * [simplify]: Extracting #2: cost 6 inf + 0 361.959 * * [simplify]: Extracting #3: cost 60 inf + 0 361.959 * * [simplify]: Extracting #4: cost 153 inf + 0 361.959 * * [simplify]: Extracting #5: cost 225 inf + 85 361.961 * * [simplify]: Extracting #6: cost 272 inf + 4571 361.964 * * [simplify]: Extracting #7: cost 237 inf + 12184 361.969 * * [simplify]: Extracting #8: cost 167 inf + 27836 361.977 * * [simplify]: Extracting #9: cost 106 inf + 52644 361.992 * * [simplify]: Extracting #10: cost 53 inf + 77876 362.014 * * [simplify]: Extracting #11: cost 13 inf + 118190 362.057 * * [simplify]: Extracting #12: cost 0 inf + 133635 362.097 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 362.097 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 362.098 * * * * [progress]: [ 1092 / 5906 ] simplifiying candidate # 362.099 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 362.099 * * [simplify]: iters left: 6 (53 enodes) 362.113 * * [simplify]: iters left: 5 (263 enodes) 362.204 * * [simplify]: Extracting #0: cost 1 inf + 0 362.204 * * [simplify]: Extracting #1: cost 3 inf + 0 362.204 * * [simplify]: Extracting #2: cost 6 inf + 0 362.204 * * [simplify]: Extracting #3: cost 62 inf + 0 362.205 * * [simplify]: Extracting #4: cost 151 inf + 0 362.206 * * [simplify]: Extracting #5: cost 221 inf + 86 362.209 * * [simplify]: Extracting #6: cost 270 inf + 4968 362.216 * * [simplify]: Extracting #7: cost 209 inf + 20422 362.232 * * [simplify]: Extracting #8: cost 130 inf + 40296 362.255 * * [simplify]: Extracting #9: cost 58 inf + 73592 362.295 * * [simplify]: Extracting #10: cost 14 inf + 115837 362.345 * * [simplify]: Extracting #11: cost 0 inf + 132227 362.375 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ lambda1 lambda2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 362.375 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ lambda1 lambda2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 362.376 * * * * [progress]: [ 1093 / 5906 ] simplifiying candidate # 362.376 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 362.376 * * [simplify]: iters left: 6 (47 enodes) 362.393 * * [simplify]: iters left: 5 (227 enodes) 362.453 * * [simplify]: Extracting #0: cost 1 inf + 0 362.453 * * [simplify]: Extracting #1: cost 3 inf + 0 362.453 * * [simplify]: Extracting #2: cost 6 inf + 0 362.453 * * [simplify]: Extracting #3: cost 54 inf + 0 362.454 * * [simplify]: Extracting #4: cost 119 inf + 0 362.455 * * [simplify]: Extracting #5: cost 170 inf + 44 362.456 * * [simplify]: Extracting #6: cost 240 inf + 1278 362.458 * * [simplify]: Extracting #7: cost 196 inf + 9472 362.462 * * [simplify]: Extracting #8: cost 142 inf + 22994 362.470 * * [simplify]: Extracting #9: cost 94 inf + 45028 362.484 * * [simplify]: Extracting #10: cost 43 inf + 64944 362.517 * * [simplify]: Extracting #11: cost 6 inf + 98616 362.548 * * [simplify]: Extracting #12: cost 1 inf + 105821 362.570 * * [simplify]: Extracting #13: cost 0 inf + 107726 362.611 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 362.611 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 362.612 * * * * [progress]: [ 1094 / 5906 ] simplifiying candidate # 362.613 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 362.613 * * [simplify]: iters left: 6 (52 enodes) 362.632 * * [simplify]: iters left: 5 (255 enodes) 362.699 * * [simplify]: Extracting #0: cost 1 inf + 0 362.699 * * [simplify]: Extracting #1: cost 3 inf + 0 362.699 * * [simplify]: Extracting #2: cost 10 inf + 0 362.699 * * [simplify]: Extracting #3: cost 74 inf + 0 362.700 * * [simplify]: Extracting #4: cost 137 inf + 1 362.700 * * [simplify]: Extracting #5: cost 192 inf + 207 362.701 * * [simplify]: Extracting #6: cost 250 inf + 4356 362.704 * * [simplify]: Extracting #7: cost 214 inf + 12535 362.709 * * [simplify]: Extracting #8: cost 150 inf + 29257 362.722 * * [simplify]: Extracting #9: cost 92 inf + 52808 362.744 * * [simplify]: Extracting #10: cost 53 inf + 71774 362.781 * * [simplify]: Extracting #11: cost 7 inf + 113042 362.828 * * [simplify]: Extracting #12: cost 1 inf + 120672 362.876 * * [simplify]: Extracting #13: cost 0 inf + 122697 362.923 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 362.923 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 362.924 * * * * [progress]: [ 1095 / 5906 ] simplifiying candidate # 362.925 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 362.926 * * [simplify]: iters left: 6 (47 enodes) 362.949 * * [simplify]: iters left: 5 (227 enodes) 363.022 * * [simplify]: Extracting #0: cost 1 inf + 0 363.022 * * [simplify]: Extracting #1: cost 3 inf + 0 363.022 * * [simplify]: Extracting #2: cost 10 inf + 0 363.022 * * [simplify]: Extracting #3: cost 66 inf + 0 363.022 * * [simplify]: Extracting #4: cost 117 inf + 44 363.023 * * [simplify]: Extracting #5: cost 157 inf + 862 363.024 * * [simplify]: Extracting #6: cost 228 inf + 2976 363.028 * * [simplify]: Extracting #7: cost 199 inf + 8542 363.032 * * [simplify]: Extracting #8: cost 124 inf + 27448 363.051 * * [simplify]: Extracting #9: cost 58 inf + 57217 363.085 * * [simplify]: Extracting #10: cost 7 inf + 96920 363.126 * * [simplify]: Extracting #11: cost 1 inf + 103191 363.149 * * [simplify]: Extracting #12: cost 0 inf + 105096 363.181 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) 363.181 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 363.182 * * * * [progress]: [ 1096 / 5906 ] simplifiying candidate # 363.182 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 363.183 * * [simplify]: iters left: 6 (52 enodes) 363.205 * * [simplify]: iters left: 5 (255 enodes) 363.283 * * [simplify]: Extracting #0: cost 1 inf + 0 363.283 * * [simplify]: Extracting #1: cost 3 inf + 0 363.283 * * [simplify]: Extracting #2: cost 10 inf + 0 363.283 * * [simplify]: Extracting #3: cost 74 inf + 0 363.283 * * [simplify]: Extracting #4: cost 137 inf + 1 363.284 * * [simplify]: Extracting #5: cost 192 inf + 207 363.287 * * [simplify]: Extracting #6: cost 257 inf + 2701 363.290 * * [simplify]: Extracting #7: cost 218 inf + 11527 363.297 * * [simplify]: Extracting #8: cost 119 inf + 41804 363.317 * * [simplify]: Extracting #9: cost 58 inf + 68929 363.338 * * [simplify]: Extracting #10: cost 7 inf + 114002 363.377 * * [simplify]: Extracting #11: cost 1 inf + 121632 363.424 * * [simplify]: Extracting #12: cost 0 inf + 123657 363.466 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 363.466 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 363.466 * * * * [progress]: [ 1097 / 5906 ] simplifiying candidate # 363.466 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 363.467 * * [simplify]: iters left: 6 (47 enodes) 363.479 * * [simplify]: iters left: 5 (227 enodes) 363.529 * * [simplify]: Extracting #0: cost 1 inf + 0 363.529 * * [simplify]: Extracting #1: cost 3 inf + 0 363.529 * * [simplify]: Extracting #2: cost 10 inf + 0 363.529 * * [simplify]: Extracting #3: cost 65 inf + 0 363.532 * * [simplify]: Extracting #4: cost 116 inf + 86 363.532 * * [simplify]: Extracting #5: cost 152 inf + 1472 363.534 * * [simplify]: Extracting #6: cost 228 inf + 2976 363.538 * * [simplify]: Extracting #7: cost 201 inf + 8459 363.547 * * [simplify]: Extracting #8: cost 105 inf + 38386 363.558 * * [simplify]: Extracting #9: cost 50 inf + 62845 363.575 * * [simplify]: Extracting #10: cost 7 inf + 96507 363.614 * * [simplify]: Extracting #11: cost 1 inf + 103751 363.657 * * [simplify]: Extracting #12: cost 0 inf + 105656 363.685 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) 363.685 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 363.686 * * * * [progress]: [ 1098 / 5906 ] simplifiying candidate # 363.686 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 363.687 * * [simplify]: iters left: 6 (51 enodes) 363.700 * * [simplify]: iters left: 5 (252 enodes) 363.757 * * [simplify]: Extracting #0: cost 1 inf + 0 363.757 * * [simplify]: Extracting #1: cost 3 inf + 0 363.757 * * [simplify]: Extracting #2: cost 6 inf + 0 363.757 * * [simplify]: Extracting #3: cost 52 inf + 0 363.757 * * [simplify]: Extracting #4: cost 120 inf + 0 363.758 * * [simplify]: Extracting #5: cost 189 inf + 0 363.759 * * [simplify]: Extracting #6: cost 283 inf + 763 363.760 * * [simplify]: Extracting #7: cost 236 inf + 10188 363.765 * * [simplify]: Extracting #8: cost 151 inf + 26310 363.776 * * [simplify]: Extracting #9: cost 87 inf + 45697 363.801 * * [simplify]: Extracting #10: cost 46 inf + 69634 363.839 * * [simplify]: Extracting #11: cost 9 inf + 102169 363.881 * * [simplify]: Extracting #12: cost 1 inf + 110449 363.906 * * [simplify]: Extracting #13: cost 0 inf + 112234 363.938 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 363.938 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 363.939 * * * * [progress]: [ 1099 / 5906 ] simplifiying candidate # 363.940 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 363.940 * * [simplify]: iters left: 6 (52 enodes) 363.967 * * [simplify]: iters left: 5 (261 enodes) 364.080 * * [simplify]: Extracting #0: cost 1 inf + 0 364.080 * * [simplify]: Extracting #1: cost 3 inf + 0 364.080 * * [simplify]: Extracting #2: cost 6 inf + 0 364.080 * * [simplify]: Extracting #3: cost 55 inf + 0 364.081 * * [simplify]: Extracting #4: cost 142 inf + 0 364.082 * * [simplify]: Extracting #5: cost 201 inf + 85 364.084 * * [simplify]: Extracting #6: cost 264 inf + 3631 364.090 * * [simplify]: Extracting #7: cost 227 inf + 11529 364.099 * * [simplify]: Extracting #8: cost 158 inf + 26793 364.119 * * [simplify]: Extracting #9: cost 91 inf + 53242 364.147 * * [simplify]: Extracting #10: cost 41 inf + 76742 364.178 * * [simplify]: Extracting #11: cost 3 inf + 107812 364.204 * * [simplify]: Extracting #12: cost 0 inf + 113247 364.230 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (+ phi1 phi2)) (- phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 364.230 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (+ phi1 phi2)) (- phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 364.230 * * * * [progress]: [ 1100 / 5906 ] simplifiying candidate # 364.231 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 364.231 * * [simplify]: iters left: 6 (52 enodes) 364.245 * * [simplify]: iters left: 5 (261 enodes) 364.301 * * [simplify]: Extracting #0: cost 1 inf + 0 364.301 * * [simplify]: Extracting #1: cost 3 inf + 0 364.301 * * [simplify]: Extracting #2: cost 6 inf + 0 364.301 * * [simplify]: Extracting #3: cost 57 inf + 0 364.301 * * [simplify]: Extracting #4: cost 140 inf + 0 364.302 * * [simplify]: Extracting #5: cost 197 inf + 85 364.303 * * [simplify]: Extracting #6: cost 259 inf + 4195 364.306 * * [simplify]: Extracting #7: cost 231 inf + 10833 364.310 * * [simplify]: Extracting #8: cost 162 inf + 25207 364.318 * * [simplify]: Extracting #9: cost 91 inf + 52398 364.332 * * [simplify]: Extracting #10: cost 43 inf + 74364 364.372 * * [simplify]: Extracting #11: cost 4 inf + 107219 364.415 * * [simplify]: Extracting #12: cost 0 inf + 111319 364.438 * * [simplify]: Extracting #13: cost 0 inf + 111199 364.468 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 364.468 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 364.469 * * * * [progress]: [ 1101 / 5906 ] simplifiying candidate # 364.469 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 364.470 * * [simplify]: iters left: 6 (46 enodes) 364.481 * * [simplify]: iters left: 5 (225 enodes) 364.540 * * [simplify]: Extracting #0: cost 1 inf + 0 364.540 * * [simplify]: Extracting #1: cost 3 inf + 0 364.540 * * [simplify]: Extracting #2: cost 6 inf + 0 364.540 * * [simplify]: Extracting #3: cost 49 inf + 0 364.540 * * [simplify]: Extracting #4: cost 109 inf + 0 364.541 * * [simplify]: Extracting #5: cost 145 inf + 167 364.541 * * [simplify]: Extracting #6: cost 223 inf + 1800 364.543 * * [simplify]: Extracting #7: cost 218 inf + 4235 364.549 * * [simplify]: Extracting #8: cost 126 inf + 25209 364.576 * * [simplify]: Extracting #9: cost 36 inf + 72711 364.612 * * [simplify]: Extracting #10: cost 4 inf + 88668 364.644 * * [simplify]: Extracting #11: cost 0 inf + 90380 364.664 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ phi1 phi2))))) 364.664 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 364.665 * * * * [progress]: [ 1102 / 5906 ] simplifiying candidate # 364.665 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 364.665 * * [simplify]: iters left: 6 (51 enodes) 364.679 * * [simplify]: iters left: 5 (253 enodes) 364.744 * * [simplify]: Extracting #0: cost 1 inf + 0 364.744 * * [simplify]: Extracting #1: cost 3 inf + 0 364.744 * * [simplify]: Extracting #2: cost 10 inf + 0 364.744 * * [simplify]: Extracting #3: cost 67 inf + 0 364.745 * * [simplify]: Extracting #4: cost 125 inf + 42 364.745 * * [simplify]: Extracting #5: cost 166 inf + 290 364.747 * * [simplify]: Extracting #6: cost 244 inf + 2528 364.751 * * [simplify]: Extracting #7: cost 227 inf + 6867 364.757 * * [simplify]: Extracting #8: cost 160 inf + 20415 364.771 * * [simplify]: Extracting #9: cost 96 inf + 43645 364.796 * * [simplify]: Extracting #10: cost 40 inf + 70465 364.830 * * [simplify]: Extracting #11: cost 5 inf + 96740 364.873 * * [simplify]: Extracting #12: cost 1 inf + 102720 364.913 * * [simplify]: Extracting #13: cost 0 inf + 104465 364.942 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 364.942 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 364.943 * * * * [progress]: [ 1103 / 5906 ] simplifiying candidate # 364.944 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 364.944 * * [simplify]: iters left: 6 (46 enodes) 364.958 * * [simplify]: iters left: 5 (225 enodes) 365.018 * * [simplify]: Extracting #0: cost 1 inf + 0 365.018 * * [simplify]: Extracting #1: cost 3 inf + 0 365.018 * * [simplify]: Extracting #2: cost 10 inf + 0 365.019 * * [simplify]: Extracting #3: cost 59 inf + 0 365.019 * * [simplify]: Extracting #4: cost 106 inf + 44 365.020 * * [simplify]: Extracting #5: cost 131 inf + 1066 365.022 * * [simplify]: Extracting #6: cost 215 inf + 2568 365.025 * * [simplify]: Extracting #7: cost 211 inf + 5041 365.033 * * [simplify]: Extracting #8: cost 111 inf + 26324 365.051 * * [simplify]: Extracting #9: cost 53 inf + 54228 365.082 * * [simplify]: Extracting #10: cost 5 inf + 83754 365.118 * * [simplify]: Extracting #11: cost 0 inf + 86885 365.148 * * [simplify]: Extracting #12: cost 0 inf + 86805 365.168 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ phi1 phi2))))) 365.168 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 365.169 * * * * [progress]: [ 1104 / 5906 ] simplifiying candidate # 365.169 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 365.169 * * [simplify]: iters left: 6 (51 enodes) 365.188 * * [simplify]: iters left: 5 (253 enodes) 365.296 * * [simplify]: Extracting #0: cost 1 inf + 0 365.296 * * [simplify]: Extracting #1: cost 3 inf + 0 365.296 * * [simplify]: Extracting #2: cost 10 inf + 0 365.296 * * [simplify]: Extracting #3: cost 67 inf + 0 365.297 * * [simplify]: Extracting #4: cost 125 inf + 42 365.297 * * [simplify]: Extracting #5: cost 167 inf + 248 365.300 * * [simplify]: Extracting #6: cost 241 inf + 3415 365.304 * * [simplify]: Extracting #7: cost 222 inf + 7996 365.310 * * [simplify]: Extracting #8: cost 158 inf + 20938 365.325 * * [simplify]: Extracting #9: cost 97 inf + 43020 365.350 * * [simplify]: Extracting #10: cost 39 inf + 71930 365.386 * * [simplify]: Extracting #11: cost 5 inf + 97540 365.427 * * [simplify]: Extracting #12: cost 1 inf + 103520 365.457 * * [simplify]: Extracting #13: cost 0 inf + 105265 365.480 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 365.480 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 365.481 * * * * [progress]: [ 1105 / 5906 ] simplifiying candidate # 365.481 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 365.481 * * [simplify]: iters left: 6 (46 enodes) 365.493 * * [simplify]: iters left: 5 (225 enodes) 365.559 * * [simplify]: Extracting #0: cost 1 inf + 0 365.559 * * [simplify]: Extracting #1: cost 3 inf + 0 365.559 * * [simplify]: Extracting #2: cost 10 inf + 0 365.559 * * [simplify]: Extracting #3: cost 58 inf + 0 365.559 * * [simplify]: Extracting #4: cost 106 inf + 44 365.560 * * [simplify]: Extracting #5: cost 133 inf + 782 365.561 * * [simplify]: Extracting #6: cost 213 inf + 2932 365.562 * * [simplify]: Extracting #7: cost 213 inf + 4839 365.567 * * [simplify]: Extracting #8: cost 111 inf + 26588 365.577 * * [simplify]: Extracting #9: cost 51 inf + 55332 365.601 * * [simplify]: Extracting #10: cost 4 inf + 84678 365.621 * * [simplify]: Extracting #11: cost 0 inf + 87205 365.639 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ phi1 phi2))))) 365.639 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 365.639 * * * * [progress]: [ 1106 / 5906 ] simplifiying candidate # 365.640 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 365.640 * * [simplify]: iters left: 6 (47 enodes) 365.655 * * [simplify]: iters left: 5 (227 enodes) 365.722 * * [simplify]: Extracting #0: cost 1 inf + 0 365.722 * * [simplify]: Extracting #1: cost 3 inf + 0 365.722 * * [simplify]: Extracting #2: cost 6 inf + 0 365.722 * * [simplify]: Extracting #3: cost 44 inf + 0 365.722 * * [simplify]: Extracting #4: cost 104 inf + 0 365.723 * * [simplify]: Extracting #5: cost 158 inf + 1 365.723 * * [simplify]: Extracting #6: cost 228 inf + 210 365.725 * * [simplify]: Extracting #7: cost 203 inf + 4887 365.728 * * [simplify]: Extracting #8: cost 118 inf + 20504 365.734 * * [simplify]: Extracting #9: cost 73 inf + 38509 365.749 * * [simplify]: Extracting #10: cost 9 inf + 81414 365.771 * * [simplify]: Extracting #11: cost 1 inf + 85237 365.806 * * [simplify]: Extracting #12: cost 0 inf + 86480 365.831 * * [simplify]: Extracting #13: cost 0 inf + 86349 365.850 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 365.850 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 365.850 * * * * [progress]: [ 1107 / 5906 ] simplifiying candidate # 365.851 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 365.851 * * [simplify]: iters left: 6 (48 enodes) 365.871 * * [simplify]: iters left: 5 (236 enodes) 365.966 * * [simplify]: Extracting #0: cost 1 inf + 0 365.966 * * [simplify]: Extracting #1: cost 3 inf + 0 365.966 * * [simplify]: Extracting #2: cost 6 inf + 0 365.967 * * [simplify]: Extracting #3: cost 48 inf + 0 365.967 * * [simplify]: Extracting #4: cost 127 inf + 0 365.968 * * [simplify]: Extracting #5: cost 166 inf + 455 365.971 * * [simplify]: Extracting #6: cost 194 inf + 6581 365.976 * * [simplify]: Extracting #7: cost 183 inf + 10748 365.981 * * [simplify]: Extracting #8: cost 102 inf + 31045 365.994 * * [simplify]: Extracting #9: cost 11 inf + 84640 366.021 * * [simplify]: Extracting #10: cost 0 inf + 89337 366.056 * * [simplify]: Extracting #11: cost 0 inf + 89206 366.091 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))))))) 366.091 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 366.092 * * * * [progress]: [ 1108 / 5906 ] simplifiying candidate # 366.093 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 366.093 * * [simplify]: iters left: 6 (48 enodes) 366.118 * * [simplify]: iters left: 5 (236 enodes) 366.205 * * [simplify]: Extracting #0: cost 1 inf + 0 366.205 * * [simplify]: Extracting #1: cost 3 inf + 0 366.205 * * [simplify]: Extracting #2: cost 6 inf + 0 366.205 * * [simplify]: Extracting #3: cost 50 inf + 0 366.205 * * [simplify]: Extracting #4: cost 125 inf + 0 366.206 * * [simplify]: Extracting #5: cost 164 inf + 381 366.207 * * [simplify]: Extracting #6: cost 198 inf + 5659 366.209 * * [simplify]: Extracting #7: cost 183 inf + 9820 366.213 * * [simplify]: Extracting #8: cost 107 inf + 27117 366.228 * * [simplify]: Extracting #9: cost 20 inf + 73710 366.256 * * [simplify]: Extracting #10: cost 1 inf + 85566 366.290 * * [simplify]: Extracting #11: cost 0 inf + 85918 366.326 * * [simplify]: Extracting #12: cost 0 inf + 85878 366.361 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) 366.361 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 366.362 * * * * [progress]: [ 1109 / 5906 ] simplifiying candidate # 366.363 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 366.363 * * [simplify]: iters left: 6 (42 enodes) 366.387 * * [simplify]: iters left: 5 (199 enodes) 366.443 * * [simplify]: Extracting #0: cost 1 inf + 0 366.444 * * [simplify]: Extracting #1: cost 3 inf + 0 366.444 * * [simplify]: Extracting #2: cost 6 inf + 0 366.444 * * [simplify]: Extracting #3: cost 42 inf + 0 366.444 * * [simplify]: Extracting #4: cost 94 inf + 0 366.444 * * [simplify]: Extracting #5: cost 118 inf + 45 366.445 * * [simplify]: Extracting #6: cost 171 inf + 1275 366.448 * * [simplify]: Extracting #7: cost 164 inf + 3914 366.456 * * [simplify]: Extracting #8: cost 80 inf + 24932 366.476 * * [simplify]: Extracting #9: cost 20 inf + 60388 366.501 * * [simplify]: Extracting #10: cost 2 inf + 67166 366.528 * * [simplify]: Extracting #11: cost 0 inf + 67459 366.554 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))))) 366.554 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 366.556 * * * * [progress]: [ 1110 / 5906 ] simplifiying candidate # 366.556 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 366.557 * * [simplify]: iters left: 6 (47 enodes) 366.579 * * [simplify]: iters left: 5 (228 enodes) 366.672 * * [simplify]: Extracting #0: cost 1 inf + 0 366.672 * * [simplify]: Extracting #1: cost 3 inf + 0 366.672 * * [simplify]: Extracting #2: cost 10 inf + 0 366.673 * * [simplify]: Extracting #3: cost 62 inf + 0 366.673 * * [simplify]: Extracting #4: cost 114 inf + 42 366.674 * * [simplify]: Extracting #5: cost 139 inf + 332 366.676 * * [simplify]: Extracting #6: cost 193 inf + 2808 366.679 * * [simplify]: Extracting #7: cost 185 inf + 5969 366.685 * * [simplify]: Extracting #8: cost 128 inf + 15366 366.695 * * [simplify]: Extracting #9: cost 75 inf + 34200 366.717 * * [simplify]: Extracting #10: cost 7 inf + 76299 366.746 * * [simplify]: Extracting #11: cost 1 inf + 81228 366.791 * * [simplify]: Extracting #12: cost 0 inf + 82733 366.824 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 366.824 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 366.825 * * * * [progress]: [ 1111 / 5906 ] simplifiying candidate # 366.826 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 366.826 * * [simplify]: iters left: 6 (42 enodes) 366.848 * * [simplify]: iters left: 5 (200 enodes) 366.921 * * [simplify]: Extracting #0: cost 1 inf + 0 366.921 * * [simplify]: Extracting #1: cost 3 inf + 0 366.921 * * [simplify]: Extracting #2: cost 10 inf + 0 366.921 * * [simplify]: Extracting #3: cost 50 inf + 0 366.921 * * [simplify]: Extracting #4: cost 88 inf + 86 366.925 * * [simplify]: Extracting #5: cost 98 inf + 1271 366.927 * * [simplify]: Extracting #6: cost 157 inf + 2771 366.929 * * [simplify]: Extracting #7: cost 157 inf + 4077 366.938 * * [simplify]: Extracting #8: cost 71 inf + 27442 366.956 * * [simplify]: Extracting #9: cost 22 inf + 52934 366.970 * * [simplify]: Extracting #10: cost 1 inf + 63946 366.984 * * [simplify]: Extracting #11: cost 0 inf + 63474 366.998 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 366.998 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 366.999 * * * * [progress]: [ 1112 / 5906 ] simplifiying candidate # 366.999 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 366.999 * * [simplify]: iters left: 6 (47 enodes) 367.011 * * [simplify]: iters left: 5 (228 enodes) 367.102 * * [simplify]: Extracting #0: cost 1 inf + 0 367.102 * * [simplify]: Extracting #1: cost 3 inf + 0 367.103 * * [simplify]: Extracting #2: cost 10 inf + 0 367.103 * * [simplify]: Extracting #3: cost 62 inf + 0 367.103 * * [simplify]: Extracting #4: cost 114 inf + 42 367.104 * * [simplify]: Extracting #5: cost 139 inf + 333 367.106 * * [simplify]: Extracting #6: cost 190 inf + 3455 367.109 * * [simplify]: Extracting #7: cost 185 inf + 5969 367.114 * * [simplify]: Extracting #8: cost 127 inf + 15618 367.121 * * [simplify]: Extracting #9: cost 73 inf + 35787 367.135 * * [simplify]: Extracting #10: cost 7 inf + 77179 367.159 * * [simplify]: Extracting #11: cost 1 inf + 82188 367.203 * * [simplify]: Extracting #12: cost 0 inf + 83693 367.229 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 367.229 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 367.230 * * * * [progress]: [ 1113 / 5906 ] simplifiying candidate # 367.230 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 367.230 * * [simplify]: iters left: 6 (42 enodes) 367.241 * * [simplify]: iters left: 5 (200 enodes) 367.281 * * [simplify]: Extracting #0: cost 1 inf + 0 367.281 * * [simplify]: Extracting #1: cost 3 inf + 0 367.281 * * [simplify]: Extracting #2: cost 10 inf + 0 367.281 * * [simplify]: Extracting #3: cost 49 inf + 0 367.282 * * [simplify]: Extracting #4: cost 87 inf + 208 367.282 * * [simplify]: Extracting #5: cost 94 inf + 1999 367.285 * * [simplify]: Extracting #6: cost 156 inf + 2933 367.286 * * [simplify]: Extracting #7: cost 156 inf + 4158 367.290 * * [simplify]: Extracting #8: cost 71 inf + 26518 367.300 * * [simplify]: Extracting #9: cost 21 inf + 53330 367.314 * * [simplify]: Extracting #10: cost 1 inf + 64135 367.333 * * [simplify]: Extracting #11: cost 0 inf + 63794 367.354 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 367.354 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 367.354 * * * * [progress]: [ 1114 / 5906 ] simplifiying candidate # 367.355 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 367.355 * * [simplify]: iters left: 6 (47 enodes) 367.368 * * [simplify]: iters left: 5 (226 enodes) 367.429 * * [simplify]: Extracting #0: cost 1 inf + 0 367.429 * * [simplify]: Extracting #1: cost 3 inf + 0 367.429 * * [simplify]: Extracting #2: cost 6 inf + 0 367.429 * * [simplify]: Extracting #3: cost 52 inf + 0 367.430 * * [simplify]: Extracting #4: cost 119 inf + 0 367.430 * * [simplify]: Extracting #5: cost 173 inf + 1 367.431 * * [simplify]: Extracting #6: cost 241 inf + 413 367.432 * * [simplify]: Extracting #7: cost 205 inf + 8075 367.440 * * [simplify]: Extracting #8: cost 121 inf + 27291 367.464 * * [simplify]: Extracting #9: cost 22 inf + 80591 367.482 * * [simplify]: Extracting #10: cost 1 inf + 93384 367.509 * * [simplify]: Extracting #11: cost 0 inf + 94496 367.547 * * [simplify]: Extracting #12: cost 0 inf + 94365 367.583 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 367.583 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 367.584 * * * * [progress]: [ 1115 / 5906 ] simplifiying candidate # 367.585 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 367.585 * * [simplify]: iters left: 6 (48 enodes) 367.610 * * [simplify]: iters left: 5 (235 enodes) 367.692 * * [simplify]: Extracting #0: cost 1 inf + 0 367.692 * * [simplify]: Extracting #1: cost 3 inf + 0 367.692 * * [simplify]: Extracting #2: cost 6 inf + 0 367.692 * * [simplify]: Extracting #3: cost 56 inf + 0 367.693 * * [simplify]: Extracting #4: cost 142 inf + 0 367.694 * * [simplify]: Extracting #5: cost 181 inf + 455 367.696 * * [simplify]: Extracting #6: cost 220 inf + 4160 367.700 * * [simplify]: Extracting #7: cost 199 inf + 10305 367.707 * * [simplify]: Extracting #8: cost 109 inf + 32647 367.721 * * [simplify]: Extracting #9: cost 20 inf + 80594 367.756 * * [simplify]: Extracting #10: cost 0 inf + 97582 367.799 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))) 367.799 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 367.800 * * * * [progress]: [ 1116 / 5906 ] simplifiying candidate # 367.801 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 367.801 * * [simplify]: iters left: 6 (48 enodes) 367.826 * * [simplify]: iters left: 5 (235 enodes) 367.908 * * [simplify]: Extracting #0: cost 1 inf + 0 367.908 * * [simplify]: Extracting #1: cost 3 inf + 0 367.908 * * [simplify]: Extracting #2: cost 6 inf + 0 367.909 * * [simplify]: Extracting #3: cost 58 inf + 0 367.909 * * [simplify]: Extracting #4: cost 140 inf + 0 367.909 * * [simplify]: Extracting #5: cost 179 inf + 381 367.911 * * [simplify]: Extracting #6: cost 212 inf + 5368 367.913 * * [simplify]: Extracting #7: cost 195 inf + 10195 367.920 * * [simplify]: Extracting #8: cost 111 inf + 30450 367.944 * * [simplify]: Extracting #9: cost 21 inf + 78022 367.963 * * [simplify]: Extracting #10: cost 0 inf + 94720 367.983 * * [simplify]: Extracting #11: cost 0 inf + 93934 368.013 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))))) 368.013 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 368.014 * * * * [progress]: [ 1117 / 5906 ] simplifiying candidate # 368.014 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 368.015 * * [simplify]: iters left: 6 (42 enodes) 368.026 * * [simplify]: iters left: 5 (201 enodes) 368.068 * * [simplify]: Extracting #0: cost 1 inf + 0 368.068 * * [simplify]: Extracting #1: cost 3 inf + 0 368.068 * * [simplify]: Extracting #2: cost 6 inf + 0 368.068 * * [simplify]: Extracting #3: cost 44 inf + 0 368.069 * * [simplify]: Extracting #4: cost 100 inf + 0 368.069 * * [simplify]: Extracting #5: cost 126 inf + 45 368.071 * * [simplify]: Extracting #6: cost 177 inf + 1680 368.073 * * [simplify]: Extracting #7: cost 167 inf + 4682 368.080 * * [simplify]: Extracting #8: cost 99 inf + 21015 368.103 * * [simplify]: Extracting #9: cost 22 inf + 61541 368.130 * * [simplify]: Extracting #10: cost 2 inf + 71103 368.159 * * [simplify]: Extracting #11: cost 0 inf + 71247 368.177 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))))) 368.177 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 368.178 * * * * [progress]: [ 1118 / 5906 ] simplifiying candidate # 368.179 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 368.179 * * [simplify]: iters left: 6 (47 enodes) 368.194 * * [simplify]: iters left: 5 (229 enodes) 368.277 * * [simplify]: Extracting #0: cost 1 inf + 0 368.277 * * [simplify]: Extracting #1: cost 3 inf + 0 368.277 * * [simplify]: Extracting #2: cost 10 inf + 0 368.277 * * [simplify]: Extracting #3: cost 62 inf + 0 368.277 * * [simplify]: Extracting #4: cost 125 inf + 42 368.278 * * [simplify]: Extracting #5: cost 150 inf + 332 368.281 * * [simplify]: Extracting #6: cost 206 inf + 2284 368.283 * * [simplify]: Extracting #7: cost 194 inf + 6383 368.286 * * [simplify]: Extracting #8: cost 125 inf + 21214 368.297 * * [simplify]: Extracting #9: cost 32 inf + 69238 368.314 * * [simplify]: Extracting #10: cost 1 inf + 88503 368.336 * * [simplify]: Extracting #11: cost 0 inf + 90008 368.370 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 368.370 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 368.371 * * * * [progress]: [ 1119 / 5906 ] simplifiying candidate # 368.371 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 368.371 * * [simplify]: iters left: 6 (42 enodes) 368.382 * * [simplify]: iters left: 5 (201 enodes) 368.436 * * [simplify]: Extracting #0: cost 1 inf + 0 368.436 * * [simplify]: Extracting #1: cost 3 inf + 0 368.436 * * [simplify]: Extracting #2: cost 10 inf + 0 368.436 * * [simplify]: Extracting #3: cost 59 inf + 0 368.437 * * [simplify]: Extracting #4: cost 113 inf + 44 368.437 * * [simplify]: Extracting #5: cost 125 inf + 1106 368.438 * * [simplify]: Extracting #6: cost 182 inf + 2609 368.439 * * [simplify]: Extracting #7: cost 179 inf + 4400 368.444 * * [simplify]: Extracting #8: cost 106 inf + 24968 368.457 * * [simplify]: Extracting #9: cost 17 inf + 67321 368.488 * * [simplify]: Extracting #10: cost 1 inf + 74964 368.517 * * [simplify]: Extracting #11: cost 0 inf + 75427 368.535 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 368.535 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 368.535 * * * * [progress]: [ 1120 / 5906 ] simplifiying candidate # 368.536 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 368.536 * * [simplify]: iters left: 6 (47 enodes) 368.548 * * [simplify]: iters left: 5 (229 enodes) 368.618 * * [simplify]: Extracting #0: cost 1 inf + 0 368.618 * * [simplify]: Extracting #1: cost 3 inf + 0 368.618 * * [simplify]: Extracting #2: cost 10 inf + 0 368.618 * * [simplify]: Extracting #3: cost 62 inf + 0 368.621 * * [simplify]: Extracting #4: cost 125 inf + 42 368.622 * * [simplify]: Extracting #5: cost 150 inf + 333 368.623 * * [simplify]: Extracting #6: cost 201 inf + 3455 368.624 * * [simplify]: Extracting #7: cost 195 inf + 6302 368.628 * * [simplify]: Extracting #8: cost 124 inf + 21678 368.639 * * [simplify]: Extracting #9: cost 31 inf + 71975 368.663 * * [simplify]: Extracting #10: cost 1 inf + 90118 368.682 * * [simplify]: Extracting #11: cost 0 inf + 91099 368.701 * * [simplify]: Extracting #12: cost 0 inf + 90968 368.736 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 368.737 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 368.738 * * * * [progress]: [ 1121 / 5906 ] simplifiying candidate # 368.738 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 368.739 * * [simplify]: iters left: 6 (42 enodes) 368.752 * * [simplify]: iters left: 5 (201 enodes) 368.790 * * [simplify]: Extracting #0: cost 1 inf + 0 368.790 * * [simplify]: Extracting #1: cost 3 inf + 0 368.790 * * [simplify]: Extracting #2: cost 10 inf + 0 368.790 * * [simplify]: Extracting #3: cost 58 inf + 0 368.790 * * [simplify]: Extracting #4: cost 111 inf + 208 368.791 * * [simplify]: Extracting #5: cost 118 inf + 1959 368.792 * * [simplify]: Extracting #6: cost 180 inf + 2933 368.794 * * [simplify]: Extracting #7: cost 176 inf + 4846 368.801 * * [simplify]: Extracting #8: cost 100 inf + 25809 368.813 * * [simplify]: Extracting #9: cost 24 inf + 63510 368.831 * * [simplify]: Extracting #10: cost 1 inf + 75444 368.857 * * [simplify]: Extracting #11: cost 0 inf + 75907 368.872 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 368.872 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 368.873 * * * * [progress]: [ 1122 / 5906 ] simplifiying candidate # 368.873 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 368.874 * * [simplify]: iters left: 6 (51 enodes) 368.888 * * [simplify]: iters left: 5 (252 enodes) 368.951 * * [simplify]: Extracting #0: cost 1 inf + 0 368.951 * * [simplify]: Extracting #1: cost 3 inf + 0 368.951 * * [simplify]: Extracting #2: cost 6 inf + 0 368.951 * * [simplify]: Extracting #3: cost 52 inf + 0 368.951 * * [simplify]: Extracting #4: cost 120 inf + 0 368.952 * * [simplify]: Extracting #5: cost 189 inf + 0 368.953 * * [simplify]: Extracting #6: cost 268 inf + 763 368.954 * * [simplify]: Extracting #7: cost 228 inf + 6956 368.957 * * [simplify]: Extracting #8: cost 153 inf + 21982 368.964 * * [simplify]: Extracting #9: cost 103 inf + 35101 368.977 * * [simplify]: Extracting #10: cost 48 inf + 62035 369.005 * * [simplify]: Extracting #11: cost 10 inf + 93915 369.029 * * [simplify]: Extracting #12: cost 1 inf + 103220 369.066 * * [simplify]: Extracting #13: cost 0 inf + 104965 369.098 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 369.098 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 369.099 * * * * [progress]: [ 1123 / 5906 ] simplifiying candidate # 369.099 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 369.099 * * [simplify]: iters left: 6 (52 enodes) 369.113 * * [simplify]: iters left: 5 (261 enodes) 369.176 * * [simplify]: Extracting #0: cost 1 inf + 0 369.176 * * [simplify]: Extracting #1: cost 3 inf + 0 369.176 * * [simplify]: Extracting #2: cost 6 inf + 0 369.176 * * [simplify]: Extracting #3: cost 55 inf + 0 369.177 * * [simplify]: Extracting #4: cost 142 inf + 0 369.177 * * [simplify]: Extracting #5: cost 201 inf + 85 369.180 * * [simplify]: Extracting #6: cost 240 inf + 5570 369.184 * * [simplify]: Extracting #7: cost 214 inf + 11520 369.188 * * [simplify]: Extracting #8: cost 146 inf + 24501 369.196 * * [simplify]: Extracting #9: cost 93 inf + 45281 369.208 * * [simplify]: Extracting #10: cost 37 inf + 72695 369.246 * * [simplify]: Extracting #11: cost 3 inf + 101583 369.289 * * [simplify]: Extracting #12: cost 0 inf + 107018 369.331 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (+ phi1 phi2)))) 369.331 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (+ phi1 phi2)))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 369.332 * * * * [progress]: [ 1124 / 5906 ] simplifiying candidate # 369.332 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 369.332 * * [simplify]: iters left: 6 (52 enodes) 369.345 * * [simplify]: iters left: 5 (261 enodes) 369.423 * * [simplify]: Extracting #0: cost 1 inf + 0 369.423 * * [simplify]: Extracting #1: cost 3 inf + 0 369.423 * * [simplify]: Extracting #2: cost 6 inf + 0 369.423 * * [simplify]: Extracting #3: cost 57 inf + 0 369.423 * * [simplify]: Extracting #4: cost 140 inf + 0 369.424 * * [simplify]: Extracting #5: cost 197 inf + 85 369.425 * * [simplify]: Extracting #6: cost 240 inf + 5643 369.427 * * [simplify]: Extracting #7: cost 216 inf + 10948 369.431 * * [simplify]: Extracting #8: cost 149 inf + 24039 369.446 * * [simplify]: Extracting #9: cost 91 inf + 44808 369.470 * * [simplify]: Extracting #10: cost 15 inf + 91555 369.497 * * [simplify]: Extracting #11: cost 0 inf + 104810 369.522 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 369.523 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 369.523 * * * * [progress]: [ 1125 / 5906 ] simplifiying candidate # 369.523 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 369.524 * * [simplify]: iters left: 6 (46 enodes) 369.538 * * [simplify]: iters left: 5 (225 enodes) 369.602 * * [simplify]: Extracting #0: cost 1 inf + 0 369.602 * * [simplify]: Extracting #1: cost 3 inf + 0 369.602 * * [simplify]: Extracting #2: cost 6 inf + 0 369.602 * * [simplify]: Extracting #3: cost 49 inf + 0 369.602 * * [simplify]: Extracting #4: cost 109 inf + 0 369.603 * * [simplify]: Extracting #5: cost 142 inf + 333 369.605 * * [simplify]: Extracting #6: cost 204 inf + 2488 369.607 * * [simplify]: Extracting #7: cost 196 inf + 4843 369.613 * * [simplify]: Extracting #8: cost 145 inf + 12233 369.622 * * [simplify]: Extracting #9: cost 103 inf + 25644 369.639 * * [simplify]: Extracting #10: cost 38 inf + 54168 369.661 * * [simplify]: Extracting #11: cost 3 inf + 80996 369.680 * * [simplify]: Extracting #12: cost 0 inf + 84231 369.701 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 369.701 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 369.702 * * * * [progress]: [ 1126 / 5906 ] simplifiying candidate # 369.702 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 369.703 * * [simplify]: iters left: 6 (51 enodes) 369.729 * * [simplify]: iters left: 5 (253 enodes) 369.805 * * [simplify]: Extracting #0: cost 1 inf + 0 369.805 * * [simplify]: Extracting #1: cost 3 inf + 0 369.805 * * [simplify]: Extracting #2: cost 10 inf + 0 369.806 * * [simplify]: Extracting #3: cost 67 inf + 0 369.806 * * [simplify]: Extracting #4: cost 125 inf + 42 369.807 * * [simplify]: Extracting #5: cost 167 inf + 249 369.809 * * [simplify]: Extracting #6: cost 232 inf + 2003 369.812 * * [simplify]: Extracting #7: cost 214 inf + 5938 369.820 * * [simplify]: Extracting #8: cost 124 inf + 25699 369.838 * * [simplify]: Extracting #9: cost 73 inf + 44762 369.868 * * [simplify]: Extracting #10: cost 18 inf + 83261 369.898 * * [simplify]: Extracting #11: cost 1 inf + 97411 369.919 * * [simplify]: Extracting #12: cost 0 inf + 98196 369.954 * * [simplify]: Extracting #13: cost 0 inf + 98156 369.989 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 369.989 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 369.990 * * * * [progress]: [ 1127 / 5906 ] simplifiying candidate # 369.990 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 369.992 * * [simplify]: iters left: 6 (46 enodes) 370.003 * * [simplify]: iters left: 5 (225 enodes) 370.062 * * [simplify]: Extracting #0: cost 1 inf + 0 370.062 * * [simplify]: Extracting #1: cost 3 inf + 0 370.062 * * [simplify]: Extracting #2: cost 10 inf + 0 370.062 * * [simplify]: Extracting #3: cost 59 inf + 0 370.063 * * [simplify]: Extracting #4: cost 106 inf + 44 370.063 * * [simplify]: Extracting #5: cost 134 inf + 660 370.064 * * [simplify]: Extracting #6: cost 199 inf + 2770 370.065 * * [simplify]: Extracting #7: cost 197 inf + 4034 370.069 * * [simplify]: Extracting #8: cost 113 inf + 22340 370.080 * * [simplify]: Extracting #9: cost 50 inf + 48734 370.094 * * [simplify]: Extracting #10: cost 5 inf + 78237 370.111 * * [simplify]: Extracting #11: cost 0 inf + 80816 370.129 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 370.129 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 370.130 * * * * [progress]: [ 1128 / 5906 ] simplifiying candidate # 370.130 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 370.130 * * [simplify]: iters left: 6 (51 enodes) 370.149 * * [simplify]: iters left: 5 (253 enodes) 370.228 * * [simplify]: Extracting #0: cost 1 inf + 0 370.228 * * [simplify]: Extracting #1: cost 3 inf + 0 370.228 * * [simplify]: Extracting #2: cost 10 inf + 0 370.228 * * [simplify]: Extracting #3: cost 67 inf + 0 370.229 * * [simplify]: Extracting #4: cost 125 inf + 42 370.229 * * [simplify]: Extracting #5: cost 167 inf + 248 370.230 * * [simplify]: Extracting #6: cost 229 inf + 2930 370.232 * * [simplify]: Extracting #7: cost 210 inf + 6745 370.239 * * [simplify]: Extracting #8: cost 123 inf + 25820 370.253 * * [simplify]: Extracting #9: cost 71 inf + 45429 370.282 * * [simplify]: Extracting #10: cost 17 inf + 84446 370.306 * * [simplify]: Extracting #11: cost 1 inf + 98371 370.340 * * [simplify]: Extracting #12: cost 0 inf + 99156 370.369 * * [simplify]: Extracting #13: cost 0 inf + 99116 370.390 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 370.390 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 370.390 * * * * [progress]: [ 1129 / 5906 ] simplifiying candidate # 370.391 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 370.391 * * [simplify]: iters left: 6 (46 enodes) 370.413 * * [simplify]: iters left: 5 (225 enodes) 370.481 * * [simplify]: Extracting #0: cost 1 inf + 0 370.481 * * [simplify]: Extracting #1: cost 3 inf + 0 370.481 * * [simplify]: Extracting #2: cost 10 inf + 0 370.481 * * [simplify]: Extracting #3: cost 58 inf + 0 370.482 * * [simplify]: Extracting #4: cost 106 inf + 44 370.482 * * [simplify]: Extracting #5: cost 131 inf + 1066 370.484 * * [simplify]: Extracting #6: cost 198 inf + 2932 370.487 * * [simplify]: Extracting #7: cost 197 inf + 4034 370.493 * * [simplify]: Extracting #8: cost 109 inf + 23337 370.511 * * [simplify]: Extracting #9: cost 45 inf + 52464 370.530 * * [simplify]: Extracting #10: cost 5 inf + 78797 370.547 * * [simplify]: Extracting #11: cost 0 inf + 81216 370.572 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ phi1 phi2))))) 370.572 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 370.573 * * * * [progress]: [ 1130 / 5906 ] simplifiying candidate # 370.573 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 370.574 * * [simplify]: iters left: 6 (52 enodes) 370.595 * * [simplify]: iters left: 5 (249 enodes) 370.674 * * [simplify]: Extracting #0: cost 1 inf + 0 370.674 * * [simplify]: Extracting #1: cost 3 inf + 0 370.674 * * [simplify]: Extracting #2: cost 6 inf + 0 370.674 * * [simplify]: Extracting #3: cost 46 inf + 0 370.675 * * [simplify]: Extracting #4: cost 112 inf + 0 370.676 * * [simplify]: Extracting #5: cost 183 inf + 0 370.677 * * [simplify]: Extracting #6: cost 266 inf + 45 370.680 * * [simplify]: Extracting #7: cost 233 inf + 4393 370.686 * * [simplify]: Extracting #8: cost 149 inf + 19203 370.695 * * [simplify]: Extracting #9: cost 117 inf + 27855 370.703 * * [simplify]: Extracting #10: cost 78 inf + 44734 370.713 * * [simplify]: Extracting #11: cost 46 inf + 58287 370.736 * * [simplify]: Extracting #12: cost 7 inf + 94582 370.775 * * [simplify]: Extracting #13: cost 1 inf + 101052 370.797 * * [simplify]: Extracting #14: cost 0 inf + 102797 370.829 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 370.829 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 370.831 * * * * [progress]: [ 1131 / 5906 ] simplifiying candidate # 370.831 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 370.832 * * [simplify]: iters left: 6 (53 enodes) 370.860 * * [simplify]: iters left: 5 (258 enodes) 370.945 * * [simplify]: Extracting #0: cost 1 inf + 0 370.945 * * [simplify]: Extracting #1: cost 3 inf + 0 370.945 * * [simplify]: Extracting #2: cost 6 inf + 0 370.945 * * [simplify]: Extracting #3: cost 50 inf + 0 370.946 * * [simplify]: Extracting #4: cost 135 inf + 0 370.946 * * [simplify]: Extracting #5: cost 196 inf + 85 370.947 * * [simplify]: Extracting #6: cost 247 inf + 3106 370.949 * * [simplify]: Extracting #7: cost 210 inf + 10789 370.956 * * [simplify]: Extracting #8: cost 137 inf + 28611 370.974 * * [simplify]: Extracting #9: cost 74 inf + 54373 370.996 * * [simplify]: Extracting #10: cost 46 inf + 62344 371.013 * * [simplify]: Extracting #11: cost 9 inf + 96069 371.046 * * [simplify]: Extracting #12: cost 0 inf + 106774 371.079 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 371.079 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 371.080 * * * * [progress]: [ 1132 / 5906 ] simplifiying candidate # 371.080 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 371.081 * * [simplify]: iters left: 6 (53 enodes) 371.099 * * [simplify]: iters left: 5 (258 enodes) 371.173 * * [simplify]: Extracting #0: cost 1 inf + 0 371.173 * * [simplify]: Extracting #1: cost 3 inf + 0 371.173 * * [simplify]: Extracting #2: cost 6 inf + 0 371.173 * * [simplify]: Extracting #3: cost 52 inf + 0 371.174 * * [simplify]: Extracting #4: cost 133 inf + 0 371.174 * * [simplify]: Extracting #5: cost 193 inf + 44 371.176 * * [simplify]: Extracting #6: cost 230 inf + 6011 371.178 * * [simplify]: Extracting #7: cost 207 inf + 10307 371.181 * * [simplify]: Extracting #8: cost 157 inf + 19401 371.187 * * [simplify]: Extracting #9: cost 103 inf + 35009 371.201 * * [simplify]: Extracting #10: cost 53 inf + 56582 371.234 * * [simplify]: Extracting #11: cost 13 inf + 91121 371.269 * * [simplify]: Extracting #12: cost 0 inf + 105806 371.296 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 371.297 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 371.298 * * * * [progress]: [ 1133 / 5906 ] simplifiying candidate # 371.298 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 371.299 * * [simplify]: iters left: 6 (47 enodes) 371.320 * * [simplify]: iters left: 5 (222 enodes) 371.401 * * [simplify]: Extracting #0: cost 1 inf + 0 371.401 * * [simplify]: Extracting #1: cost 3 inf + 0 371.401 * * [simplify]: Extracting #2: cost 6 inf + 0 371.402 * * [simplify]: Extracting #3: cost 47 inf + 0 371.402 * * [simplify]: Extracting #4: cost 107 inf + 0 371.403 * * [simplify]: Extracting #5: cost 143 inf + 370 371.405 * * [simplify]: Extracting #6: cost 202 inf + 2328 371.408 * * [simplify]: Extracting #7: cost 191 inf + 4361 371.417 * * [simplify]: Extracting #8: cost 129 inf + 17708 371.432 * * [simplify]: Extracting #9: cost 55 inf + 44705 371.460 * * [simplify]: Extracting #10: cost 12 inf + 74327 371.493 * * [simplify]: Extracting #11: cost 0 inf + 85681 371.528 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) 371.528 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 371.529 * * * * [progress]: [ 1134 / 5906 ] simplifiying candidate # 371.530 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 371.531 * * [simplify]: iters left: 6 (52 enodes) 371.557 * * [simplify]: iters left: 5 (250 enodes) 371.653 * * [simplify]: Extracting #0: cost 1 inf + 0 371.654 * * [simplify]: Extracting #1: cost 3 inf + 0 371.654 * * [simplify]: Extracting #2: cost 10 inf + 0 371.654 * * [simplify]: Extracting #3: cost 63 inf + 0 371.654 * * [simplify]: Extracting #4: cost 122 inf + 1 371.655 * * [simplify]: Extracting #5: cost 165 inf + 207 371.657 * * [simplify]: Extracting #6: cost 224 inf + 5121 371.661 * * [simplify]: Extracting #7: cost 206 inf + 6833 371.666 * * [simplify]: Extracting #8: cost 152 inf + 15784 371.675 * * [simplify]: Extracting #9: cost 103 inf + 31074 371.691 * * [simplify]: Extracting #10: cost 48 inf + 54745 371.707 * * [simplify]: Extracting #11: cost 8 inf + 88817 371.734 * * [simplify]: Extracting #12: cost 1 inf + 97752 371.755 * * [simplify]: Extracting #13: cost 0 inf + 99577 371.793 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) 371.793 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 371.794 * * * * [progress]: [ 1135 / 5906 ] simplifiying candidate # 371.795 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 371.795 * * [simplify]: iters left: 6 (47 enodes) 371.819 * * [simplify]: iters left: 5 (222 enodes) 371.903 * * [simplify]: Extracting #0: cost 1 inf + 0 371.903 * * [simplify]: Extracting #1: cost 3 inf + 0 371.903 * * [simplify]: Extracting #2: cost 10 inf + 0 371.903 * * [simplify]: Extracting #3: cost 58 inf + 0 371.904 * * [simplify]: Extracting #4: cost 104 inf + 44 371.905 * * [simplify]: Extracting #5: cost 131 inf + 1023 371.907 * * [simplify]: Extracting #6: cost 195 inf + 2972 371.909 * * [simplify]: Extracting #7: cost 186 inf + 4723 371.917 * * [simplify]: Extracting #8: cost 105 inf + 27148 371.943 * * [simplify]: Extracting #9: cost 14 inf + 75049 371.964 * * [simplify]: Extracting #10: cost 1 inf + 80378 371.997 * * [simplify]: Extracting #11: cost 0 inf + 81883 372.033 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) 372.033 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 372.034 * * * * [progress]: [ 1136 / 5906 ] simplifiying candidate # 372.035 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 372.035 * * [simplify]: iters left: 6 (52 enodes) 372.064 * * [simplify]: iters left: 5 (250 enodes) 372.128 * * [simplify]: Extracting #0: cost 1 inf + 0 372.128 * * [simplify]: Extracting #1: cost 3 inf + 0 372.128 * * [simplify]: Extracting #2: cost 10 inf + 0 372.128 * * [simplify]: Extracting #3: cost 63 inf + 0 372.128 * * [simplify]: Extracting #4: cost 122 inf + 1 372.129 * * [simplify]: Extracting #5: cost 165 inf + 207 372.129 * * [simplify]: Extracting #6: cost 233 inf + 1554 372.131 * * [simplify]: Extracting #7: cost 211 inf + 4928 372.134 * * [simplify]: Extracting #8: cost 152 inf + 16125 372.138 * * [simplify]: Extracting #9: cost 103 inf + 31234 372.147 * * [simplify]: Extracting #10: cost 47 inf + 56229 372.167 * * [simplify]: Extracting #11: cost 8 inf + 89777 372.189 * * [simplify]: Extracting #12: cost 1 inf + 98712 372.216 * * [simplify]: Extracting #13: cost 0 inf + 100537 372.244 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) 372.244 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 372.245 * * * * [progress]: [ 1137 / 5906 ] simplifiying candidate # 372.245 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 372.245 * * [simplify]: iters left: 6 (47 enodes) 372.257 * * [simplify]: iters left: 5 (222 enodes) 372.326 * * [simplify]: Extracting #0: cost 1 inf + 0 372.326 * * [simplify]: Extracting #1: cost 3 inf + 0 372.326 * * [simplify]: Extracting #2: cost 10 inf + 0 372.327 * * [simplify]: Extracting #3: cost 57 inf + 0 372.327 * * [simplify]: Extracting #4: cost 103 inf + 86 372.327 * * [simplify]: Extracting #5: cost 123 inf + 1918 372.328 * * [simplify]: Extracting #6: cost 195 inf + 2932 372.330 * * [simplify]: Extracting #7: cost 188 inf + 4600 372.333 * * [simplify]: Extracting #8: cost 130 inf + 18253 372.357 * * [simplify]: Extracting #9: cost 72 inf + 41157 372.372 * * [simplify]: Extracting #10: cost 5 inf + 76038 372.388 * * [simplify]: Extracting #11: cost 1 inf + 80698 372.406 * * [simplify]: Extracting #12: cost 0 inf + 82283 372.422 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) 372.423 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 372.423 * * * * [progress]: [ 1138 / 5906 ] simplifiying candidate # 372.423 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 372.424 * * [simplify]: iters left: 6 (52 enodes) 372.446 * * [simplify]: iters left: 5 (249 enodes) 372.541 * * [simplify]: Extracting #0: cost 1 inf + 0 372.542 * * [simplify]: Extracting #1: cost 3 inf + 0 372.542 * * [simplify]: Extracting #2: cost 6 inf + 0 372.542 * * [simplify]: Extracting #3: cost 46 inf + 0 372.542 * * [simplify]: Extracting #4: cost 112 inf + 0 372.542 * * [simplify]: Extracting #5: cost 179 inf + 0 372.543 * * [simplify]: Extracting #6: cost 261 inf + 47 372.545 * * [simplify]: Extracting #7: cost 209 inf + 8007 372.549 * * [simplify]: Extracting #8: cost 135 inf + 23369 372.556 * * [simplify]: Extracting #9: cost 79 inf + 45280 372.573 * * [simplify]: Extracting #10: cost 42 inf + 60877 372.601 * * [simplify]: Extracting #11: cost 8 inf + 93527 372.624 * * [simplify]: Extracting #12: cost 0 inf + 103767 372.651 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2)))))) 372.651 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 372.652 * * * * [progress]: [ 1139 / 5906 ] simplifiying candidate # 372.652 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 372.653 * * [simplify]: iters left: 6 (53 enodes) 372.668 * * [simplify]: iters left: 5 (258 enodes) 372.750 * * [simplify]: Extracting #0: cost 1 inf + 0 372.751 * * [simplify]: Extracting #1: cost 3 inf + 0 372.751 * * [simplify]: Extracting #2: cost 6 inf + 0 372.751 * * [simplify]: Extracting #3: cost 50 inf + 0 372.751 * * [simplify]: Extracting #4: cost 135 inf + 0 372.751 * * [simplify]: Extracting #5: cost 192 inf + 85 372.753 * * [simplify]: Extracting #6: cost 243 inf + 3027 372.755 * * [simplify]: Extracting #7: cost 184 inf + 15132 372.760 * * [simplify]: Extracting #8: cost 137 inf + 25093 372.767 * * [simplify]: Extracting #9: cost 89 inf + 42425 372.781 * * [simplify]: Extracting #10: cost 45 inf + 63739 372.811 * * [simplify]: Extracting #11: cost 8 inf + 97624 372.832 * * [simplify]: Extracting #12: cost 0 inf + 107144 372.870 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 372.870 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 372.871 * * * * [progress]: [ 1140 / 5906 ] simplifiying candidate # 372.872 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 372.873 * * [simplify]: iters left: 6 (53 enodes) 372.890 * * [simplify]: iters left: 5 (258 enodes) 372.975 * * [simplify]: Extracting #0: cost 1 inf + 0 372.975 * * [simplify]: Extracting #1: cost 3 inf + 0 372.975 * * [simplify]: Extracting #2: cost 6 inf + 0 372.975 * * [simplify]: Extracting #3: cost 52 inf + 0 372.976 * * [simplify]: Extracting #4: cost 133 inf + 0 372.977 * * [simplify]: Extracting #5: cost 189 inf + 44 372.980 * * [simplify]: Extracting #6: cost 228 inf + 5368 372.985 * * [simplify]: Extracting #7: cost 183 inf + 13440 372.994 * * [simplify]: Extracting #8: cost 143 inf + 21155 373.005 * * [simplify]: Extracting #9: cost 94 inf + 40298 373.016 * * [simplify]: Extracting #10: cost 43 inf + 62381 373.046 * * [simplify]: Extracting #11: cost 12 inf + 91156 373.068 * * [simplify]: Extracting #12: cost 0 inf + 104856 373.090 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))))) (* (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 373.090 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))))) (* (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 373.091 * * * * [progress]: [ 1141 / 5906 ] simplifiying candidate # 373.092 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 373.092 * * [simplify]: iters left: 6 (47 enodes) 373.113 * * [simplify]: iters left: 5 (222 enodes) 373.168 * * [simplify]: Extracting #0: cost 1 inf + 0 373.168 * * [simplify]: Extracting #1: cost 3 inf + 0 373.168 * * [simplify]: Extracting #2: cost 6 inf + 0 373.168 * * [simplify]: Extracting #3: cost 47 inf + 0 373.168 * * [simplify]: Extracting #4: cost 107 inf + 0 373.169 * * [simplify]: Extracting #5: cost 139 inf + 370 373.171 * * [simplify]: Extracting #6: cost 195 inf + 2454 373.174 * * [simplify]: Extracting #7: cost 167 inf + 7899 373.182 * * [simplify]: Extracting #8: cost 119 inf + 19392 373.191 * * [simplify]: Extracting #9: cost 59 inf + 43957 373.206 * * [simplify]: Extracting #10: cost 9 inf + 76679 373.223 * * [simplify]: Extracting #11: cost 1 inf + 84466 373.253 * * [simplify]: Extracting #12: cost 0 inf + 86051 373.290 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 373.290 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 373.291 * * * * [progress]: [ 1142 / 5906 ] simplifiying candidate # 373.291 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 373.292 * * [simplify]: iters left: 6 (52 enodes) 373.318 * * [simplify]: iters left: 5 (250 enodes) 373.419 * * [simplify]: Extracting #0: cost 1 inf + 0 373.419 * * [simplify]: Extracting #1: cost 3 inf + 0 373.420 * * [simplify]: Extracting #2: cost 10 inf + 0 373.420 * * [simplify]: Extracting #3: cost 63 inf + 0 373.420 * * [simplify]: Extracting #4: cost 122 inf + 1 373.421 * * [simplify]: Extracting #5: cost 161 inf + 207 373.423 * * [simplify]: Extracting #6: cost 219 inf + 5124 373.426 * * [simplify]: Extracting #7: cost 187 inf + 9882 373.434 * * [simplify]: Extracting #8: cost 134 inf + 21625 373.446 * * [simplify]: Extracting #9: cost 86 inf + 39832 373.456 * * [simplify]: Extracting #10: cost 43 inf + 57472 373.471 * * [simplify]: Extracting #11: cost 6 inf + 88917 373.499 * * [simplify]: Extracting #12: cost 1 inf + 95202 373.530 * * [simplify]: Extracting #13: cost 0 inf + 96547 373.551 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 373.551 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 373.551 * * * * [progress]: [ 1143 / 5906 ] simplifiying candidate # 373.552 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 373.552 * * [simplify]: iters left: 6 (47 enodes) 373.564 * * [simplify]: iters left: 5 (222 enodes) 373.640 * * [simplify]: Extracting #0: cost 1 inf + 0 373.640 * * [simplify]: Extracting #1: cost 3 inf + 0 373.640 * * [simplify]: Extracting #2: cost 10 inf + 0 373.640 * * [simplify]: Extracting #3: cost 58 inf + 0 373.640 * * [simplify]: Extracting #4: cost 104 inf + 44 373.641 * * [simplify]: Extracting #5: cost 127 inf + 1023 373.642 * * [simplify]: Extracting #6: cost 189 inf + 3016 373.644 * * [simplify]: Extracting #7: cost 163 inf + 7574 373.652 * * [simplify]: Extracting #8: cost 97 inf + 27692 373.664 * * [simplify]: Extracting #9: cost 14 inf + 70451 373.687 * * [simplify]: Extracting #10: cost 4 inf + 76606 373.703 * * [simplify]: Extracting #11: cost 1 inf + 79868 373.725 * * [simplify]: Extracting #12: cost 0 inf + 81413 373.756 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 373.756 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 373.757 * * * * [progress]: [ 1144 / 5906 ] simplifiying candidate # 373.758 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 373.758 * * [simplify]: iters left: 6 (52 enodes) 373.787 * * [simplify]: iters left: 5 (250 enodes) 373.849 * * [simplify]: Extracting #0: cost 1 inf + 0 373.849 * * [simplify]: Extracting #1: cost 3 inf + 0 373.849 * * [simplify]: Extracting #2: cost 10 inf + 0 373.849 * * [simplify]: Extracting #3: cost 63 inf + 0 373.849 * * [simplify]: Extracting #4: cost 122 inf + 1 373.850 * * [simplify]: Extracting #5: cost 161 inf + 207 373.851 * * [simplify]: Extracting #6: cost 227 inf + 1759 373.853 * * [simplify]: Extracting #7: cost 192 inf + 7735 373.856 * * [simplify]: Extracting #8: cost 135 inf + 21551 373.863 * * [simplify]: Extracting #9: cost 87 inf + 40367 373.881 * * [simplify]: Extracting #10: cost 43 inf + 58432 373.900 * * [simplify]: Extracting #11: cost 7 inf + 88132 373.922 * * [simplify]: Extracting #12: cost 1 inf + 96162 373.946 * * [simplify]: Extracting #13: cost 0 inf + 97507 373.971 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 373.971 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 373.972 * * * * [progress]: [ 1145 / 5906 ] simplifiying candidate # 373.973 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 373.973 * * [simplify]: iters left: 6 (47 enodes) 373.995 * * [simplify]: iters left: 5 (222 enodes) 374.053 * * [simplify]: Extracting #0: cost 1 inf + 0 374.053 * * [simplify]: Extracting #1: cost 3 inf + 0 374.053 * * [simplify]: Extracting #2: cost 10 inf + 0 374.053 * * [simplify]: Extracting #3: cost 57 inf + 0 374.053 * * [simplify]: Extracting #4: cost 103 inf + 86 374.054 * * [simplify]: Extracting #5: cost 119 inf + 1918 374.055 * * [simplify]: Extracting #6: cost 189 inf + 2976 374.056 * * [simplify]: Extracting #7: cost 164 inf + 7493 374.061 * * [simplify]: Extracting #8: cost 96 inf + 28956 374.074 * * [simplify]: Extracting #9: cost 16 inf + 71569 374.103 * * [simplify]: Extracting #10: cost 1 inf + 80428 374.126 * * [simplify]: Extracting #11: cost 0 inf + 81893 374.143 * * [simplify]: Extracting #12: cost 0 inf + 81813 374.168 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 374.168 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 374.168 * * * * [progress]: [ 1146 / 5906 ] simplifiying candidate # 374.169 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 374.169 * * [simplify]: iters left: 6 (52 enodes) 374.182 * * [simplify]: iters left: 5 (250 enodes) 374.795 * * [simplify]: Extracting #0: cost 1 inf + 0 374.796 * * [simplify]: Extracting #1: cost 3 inf + 0 374.796 * * [simplify]: Extracting #2: cost 6 inf + 0 374.796 * * [simplify]: Extracting #3: cost 46 inf + 0 374.796 * * [simplify]: Extracting #4: cost 112 inf + 0 374.797 * * [simplify]: Extracting #5: cost 182 inf + 0 374.798 * * [simplify]: Extracting #6: cost 266 inf + 45 374.800 * * [simplify]: Extracting #7: cost 236 inf + 3867 374.804 * * [simplify]: Extracting #8: cost 144 inf + 21016 374.810 * * [simplify]: Extracting #9: cost 87 inf + 38809 374.828 * * [simplify]: Extracting #10: cost 46 inf + 58609 374.846 * * [simplify]: Extracting #11: cost 6 inf + 95807 374.879 * * [simplify]: Extracting #12: cost 1 inf + 101372 374.902 * * [simplify]: Extracting #13: cost 0 inf + 103117 374.943 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 374.943 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 374.945 * * * * [progress]: [ 1147 / 5906 ] simplifiying candidate # 374.945 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 374.946 * * [simplify]: iters left: 6 (53 enodes) 374.973 * * [simplify]: iters left: 5 (259 enodes) 375.054 * * [simplify]: Extracting #0: cost 1 inf + 0 375.054 * * [simplify]: Extracting #1: cost 3 inf + 0 375.054 * * [simplify]: Extracting #2: cost 6 inf + 0 375.054 * * [simplify]: Extracting #3: cost 50 inf + 0 375.054 * * [simplify]: Extracting #4: cost 135 inf + 0 375.055 * * [simplify]: Extracting #5: cost 194 inf + 127 375.058 * * [simplify]: Extracting #6: cost 247 inf + 3105 375.062 * * [simplify]: Extracting #7: cost 213 inf + 9862 375.070 * * [simplify]: Extracting #8: cost 146 inf + 22164 375.084 * * [simplify]: Extracting #9: cost 92 inf + 40822 375.095 * * [simplify]: Extracting #10: cost 43 inf + 64541 375.119 * * [simplify]: Extracting #11: cost 9 inf + 97549 375.155 * * [simplify]: Extracting #12: cost 0 inf + 108414 375.178 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 375.178 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 375.179 * * * * [progress]: [ 1148 / 5906 ] simplifiying candidate # 375.180 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 375.181 * * [simplify]: iters left: 6 (53 enodes) 375.201 * * [simplify]: iters left: 5 (259 enodes) 375.273 * * [simplify]: Extracting #0: cost 1 inf + 0 375.273 * * [simplify]: Extracting #1: cost 3 inf + 0 375.273 * * [simplify]: Extracting #2: cost 6 inf + 0 375.273 * * [simplify]: Extracting #3: cost 52 inf + 0 375.274 * * [simplify]: Extracting #4: cost 133 inf + 0 375.275 * * [simplify]: Extracting #5: cost 192 inf + 44 375.277 * * [simplify]: Extracting #6: cost 238 inf + 4556 375.280 * * [simplify]: Extracting #7: cost 190 inf + 12940 375.289 * * [simplify]: Extracting #8: cost 126 inf + 29165 375.307 * * [simplify]: Extracting #9: cost 58 inf + 53375 375.338 * * [simplify]: Extracting #10: cost 12 inf + 90466 375.364 * * [simplify]: Extracting #11: cost 0 inf + 104806 375.402 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 375.402 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 375.403 * * * * [progress]: [ 1149 / 5906 ] simplifiying candidate # 375.404 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 375.404 * * [simplify]: iters left: 6 (47 enodes) 375.428 * * [simplify]: iters left: 5 (223 enodes) 375.477 * * [simplify]: Extracting #0: cost 1 inf + 0 375.477 * * [simplify]: Extracting #1: cost 3 inf + 0 375.477 * * [simplify]: Extracting #2: cost 6 inf + 0 375.477 * * [simplify]: Extracting #3: cost 47 inf + 0 375.477 * * [simplify]: Extracting #4: cost 107 inf + 0 375.478 * * [simplify]: Extracting #5: cost 144 inf + 86 375.478 * * [simplify]: Extracting #6: cost 207 inf + 1478 375.480 * * [simplify]: Extracting #7: cost 195 inf + 3995 375.485 * * [simplify]: Extracting #8: cost 126 inf + 18458 375.500 * * [simplify]: Extracting #9: cost 59 inf + 43597 375.529 * * [simplify]: Extracting #10: cost 8 inf + 76921 375.563 * * [simplify]: Extracting #11: cost 0 inf + 86001 375.597 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 375.597 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 375.598 * * * * [progress]: [ 1150 / 5906 ] simplifiying candidate # 375.599 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 375.599 * * [simplify]: iters left: 6 (52 enodes) 375.630 * * [simplify]: iters left: 5 (251 enodes) 375.718 * * [simplify]: Extracting #0: cost 1 inf + 0 375.718 * * [simplify]: Extracting #1: cost 3 inf + 0 375.718 * * [simplify]: Extracting #2: cost 10 inf + 0 375.718 * * [simplify]: Extracting #3: cost 63 inf + 0 375.718 * * [simplify]: Extracting #4: cost 122 inf + 1 375.719 * * [simplify]: Extracting #5: cost 164 inf + 207 375.720 * * [simplify]: Extracting #6: cost 234 inf + 1795 375.721 * * [simplify]: Extracting #7: cost 210 inf + 5210 375.725 * * [simplify]: Extracting #8: cost 127 inf + 24532 375.733 * * [simplify]: Extracting #9: cost 71 inf + 43376 375.750 * * [simplify]: Extracting #10: cost 17 inf + 82925 375.781 * * [simplify]: Extracting #11: cost 2 inf + 96247 375.819 * * [simplify]: Extracting #12: cost 1 inf + 98072 375.855 * * [simplify]: Extracting #13: cost 0 inf + 99897 375.876 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))))) 375.876 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 375.876 * * * * [progress]: [ 1151 / 5906 ] simplifiying candidate # 375.877 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 375.877 * * [simplify]: iters left: 6 (47 enodes) 375.896 * * [simplify]: iters left: 5 (223 enodes) 375.964 * * [simplify]: Extracting #0: cost 1 inf + 0 375.964 * * [simplify]: Extracting #1: cost 3 inf + 0 375.964 * * [simplify]: Extracting #2: cost 10 inf + 0 375.964 * * [simplify]: Extracting #3: cost 58 inf + 0 375.964 * * [simplify]: Extracting #4: cost 104 inf + 44 375.965 * * [simplify]: Extracting #5: cost 129 inf + 1064 375.966 * * [simplify]: Extracting #6: cost 195 inf + 2972 375.967 * * [simplify]: Extracting #7: cost 185 inf + 5245 375.971 * * [simplify]: Extracting #8: cost 108 inf + 24994 375.981 * * [simplify]: Extracting #9: cost 32 inf + 59895 375.999 * * [simplify]: Extracting #10: cost 6 inf + 76279 376.027 * * [simplify]: Extracting #11: cost 0 inf + 82123 376.060 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))) 376.060 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 376.061 * * * * [progress]: [ 1152 / 5906 ] simplifiying candidate # 376.062 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 376.062 * * [simplify]: iters left: 6 (52 enodes) 376.088 * * [simplify]: iters left: 5 (251 enodes) 376.153 * * [simplify]: Extracting #0: cost 1 inf + 0 376.153 * * [simplify]: Extracting #1: cost 3 inf + 0 376.153 * * [simplify]: Extracting #2: cost 10 inf + 0 376.154 * * [simplify]: Extracting #3: cost 63 inf + 0 376.154 * * [simplify]: Extracting #4: cost 122 inf + 1 376.154 * * [simplify]: Extracting #5: cost 164 inf + 207 376.155 * * [simplify]: Extracting #6: cost 232 inf + 1676 376.157 * * [simplify]: Extracting #7: cost 209 inf + 5412 376.161 * * [simplify]: Extracting #8: cost 129 inf + 23762 376.169 * * [simplify]: Extracting #9: cost 71 inf + 43473 376.191 * * [simplify]: Extracting #10: cost 17 inf + 83285 376.228 * * [simplify]: Extracting #11: cost 2 inf + 96287 376.253 * * [simplify]: Extracting #12: cost 1 inf + 98072 376.273 * * [simplify]: Extracting #13: cost 0 inf + 99857 376.302 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 376.302 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 376.303 * * * * [progress]: [ 1153 / 5906 ] simplifiying candidate # 376.303 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 376.304 * * [simplify]: iters left: 6 (47 enodes) 376.328 * * [simplify]: iters left: 5 (223 enodes) 376.413 * * [simplify]: Extracting #0: cost 1 inf + 0 376.413 * * [simplify]: Extracting #1: cost 3 inf + 0 376.413 * * [simplify]: Extracting #2: cost 10 inf + 0 376.413 * * [simplify]: Extracting #3: cost 57 inf + 0 376.414 * * [simplify]: Extracting #4: cost 103 inf + 86 376.415 * * [simplify]: Extracting #5: cost 125 inf + 1472 376.417 * * [simplify]: Extracting #6: cost 195 inf + 2932 376.418 * * [simplify]: Extracting #7: cost 184 inf + 5326 376.422 * * [simplify]: Extracting #8: cost 106 inf + 25942 376.432 * * [simplify]: Extracting #9: cost 41 inf + 53947 376.446 * * [simplify]: Extracting #10: cost 6 inf + 76519 376.463 * * [simplify]: Extracting #11: cost 0 inf + 82523 376.493 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))) 376.493 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 376.494 * * * * [progress]: [ 1154 / 5906 ] simplifiying candidate # 376.498 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 376.499 * * [simplify]: iters left: 6 (52 enodes) 376.525 * * [simplify]: iters left: 5 (250 enodes) 376.604 * * [simplify]: Extracting #0: cost 1 inf + 0 376.604 * * [simplify]: Extracting #1: cost 3 inf + 0 376.604 * * [simplify]: Extracting #2: cost 6 inf + 0 376.604 * * [simplify]: Extracting #3: cost 46 inf + 0 376.605 * * [simplify]: Extracting #4: cost 112 inf + 0 376.605 * * [simplify]: Extracting #5: cost 179 inf + 0 376.606 * * [simplify]: Extracting #6: cost 261 inf + 47 376.608 * * [simplify]: Extracting #7: cost 208 inf + 8289 376.616 * * [simplify]: Extracting #8: cost 125 inf + 28988 376.624 * * [simplify]: Extracting #9: cost 74 inf + 47682 376.634 * * [simplify]: Extracting #10: cost 44 inf + 59427 376.659 * * [simplify]: Extracting #11: cost 6 inf + 96537 376.680 * * [simplify]: Extracting #12: cost 1 inf + 102182 376.721 * * [simplify]: Extracting #13: cost 0 inf + 104007 376.751 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) 376.751 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 376.752 * * * * [progress]: [ 1155 / 5906 ] simplifiying candidate # 376.752 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 376.753 * * [simplify]: iters left: 6 (53 enodes) 376.768 * * [simplify]: iters left: 5 (259 enodes) 376.845 * * [simplify]: Extracting #0: cost 1 inf + 0 376.845 * * [simplify]: Extracting #1: cost 3 inf + 0 376.845 * * [simplify]: Extracting #2: cost 6 inf + 0 376.846 * * [simplify]: Extracting #3: cost 50 inf + 0 376.846 * * [simplify]: Extracting #4: cost 135 inf + 0 376.847 * * [simplify]: Extracting #5: cost 192 inf + 85 376.849 * * [simplify]: Extracting #6: cost 240 inf + 3191 376.857 * * [simplify]: Extracting #7: cost 169 inf + 22536 376.869 * * [simplify]: Extracting #8: cost 114 inf + 38715 376.888 * * [simplify]: Extracting #9: cost 77 inf + 51166 376.910 * * [simplify]: Extracting #10: cost 38 inf + 67954 376.934 * * [simplify]: Extracting #11: cost 10 inf + 95774 376.960 * * [simplify]: Extracting #12: cost 0 inf + 107304 376.996 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 376.997 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 376.997 * * * * [progress]: [ 1156 / 5906 ] simplifiying candidate # 376.997 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 376.998 * * [simplify]: iters left: 6 (53 enodes) 377.011 * * [simplify]: iters left: 5 (259 enodes) 377.083 * * [simplify]: Extracting #0: cost 1 inf + 0 377.083 * * [simplify]: Extracting #1: cost 3 inf + 0 377.083 * * [simplify]: Extracting #2: cost 6 inf + 0 377.083 * * [simplify]: Extracting #3: cost 52 inf + 0 377.083 * * [simplify]: Extracting #4: cost 133 inf + 0 377.084 * * [simplify]: Extracting #5: cost 189 inf + 44 377.085 * * [simplify]: Extracting #6: cost 232 inf + 4800 377.088 * * [simplify]: Extracting #7: cost 176 inf + 15133 377.094 * * [simplify]: Extracting #8: cost 111 inf + 34243 377.105 * * [simplify]: Extracting #9: cost 43 inf + 62941 377.135 * * [simplify]: Extracting #10: cost 12 inf + 91276 377.162 * * [simplify]: Extracting #11: cost 0 inf + 106256 377.184 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 377.184 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 377.185 * * * * [progress]: [ 1157 / 5906 ] simplifiying candidate # 377.185 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 377.185 * * [simplify]: iters left: 6 (47 enodes) 377.201 * * [simplify]: iters left: 5 (223 enodes) 377.254 * * [simplify]: Extracting #0: cost 1 inf + 0 377.254 * * [simplify]: Extracting #1: cost 3 inf + 0 377.254 * * [simplify]: Extracting #2: cost 6 inf + 0 377.255 * * [simplify]: Extracting #3: cost 47 inf + 0 377.255 * * [simplify]: Extracting #4: cost 107 inf + 0 377.255 * * [simplify]: Extracting #5: cost 141 inf + 86 377.256 * * [simplify]: Extracting #6: cost 202 inf + 1360 377.258 * * [simplify]: Extracting #7: cost 171 inf + 7211 377.262 * * [simplify]: Extracting #8: cost 105 inf + 26232 377.274 * * [simplify]: Extracting #9: cost 47 inf + 51235 377.291 * * [simplify]: Extracting #10: cost 10 inf + 75974 377.321 * * [simplify]: Extracting #11: cost 0 inf + 86291 377.355 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 377.356 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 377.357 * * * * [progress]: [ 1158 / 5906 ] simplifiying candidate # 377.357 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 377.358 * * [simplify]: iters left: 6 (52 enodes) 377.381 * * [simplify]: iters left: 5 (251 enodes) 377.441 * * [simplify]: Extracting #0: cost 1 inf + 0 377.441 * * [simplify]: Extracting #1: cost 3 inf + 0 377.441 * * [simplify]: Extracting #2: cost 10 inf + 0 377.441 * * [simplify]: Extracting #3: cost 63 inf + 0 377.441 * * [simplify]: Extracting #4: cost 122 inf + 1 377.442 * * [simplify]: Extracting #5: cost 161 inf + 207 377.443 * * [simplify]: Extracting #6: cost 227 inf + 1880 377.444 * * [simplify]: Extracting #7: cost 193 inf + 7612 377.449 * * [simplify]: Extracting #8: cost 118 inf + 25423 377.462 * * [simplify]: Extracting #9: cost 50 inf + 53409 377.478 * * [simplify]: Extracting #10: cost 7 inf + 88572 377.499 * * [simplify]: Extracting #11: cost 1 inf + 95082 377.521 * * [simplify]: Extracting #12: cost 0 inf + 96827 377.559 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))))) 377.559 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 377.560 * * * * [progress]: [ 1159 / 5906 ] simplifiying candidate # 377.560 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 377.561 * * [simplify]: iters left: 6 (47 enodes) 377.573 * * [simplify]: iters left: 5 (223 enodes) 377.622 * * [simplify]: Extracting #0: cost 1 inf + 0 377.622 * * [simplify]: Extracting #1: cost 3 inf + 0 377.622 * * [simplify]: Extracting #2: cost 10 inf + 0 377.623 * * [simplify]: Extracting #3: cost 58 inf + 0 377.623 * * [simplify]: Extracting #4: cost 104 inf + 44 377.623 * * [simplify]: Extracting #5: cost 126 inf + 1064 377.624 * * [simplify]: Extracting #6: cost 189 inf + 3016 377.626 * * [simplify]: Extracting #7: cost 163 inf + 8017 377.629 * * [simplify]: Extracting #8: cost 123 inf + 18479 377.636 * * [simplify]: Extracting #9: cost 77 inf + 36886 377.647 * * [simplify]: Extracting #10: cost 36 inf + 52952 377.666 * * [simplify]: Extracting #11: cost 5 inf + 75208 377.697 * * [simplify]: Extracting #12: cost 0 inf + 81573 377.714 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 377.714 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 377.714 * * * * [progress]: [ 1160 / 5906 ] simplifiying candidate # 377.714 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 377.717 * * [simplify]: iters left: 6 (52 enodes) 377.732 * * [simplify]: iters left: 5 (251 enodes) 377.828 * * [simplify]: Extracting #0: cost 1 inf + 0 377.828 * * [simplify]: Extracting #1: cost 3 inf + 0 377.828 * * [simplify]: Extracting #2: cost 10 inf + 0 377.828 * * [simplify]: Extracting #3: cost 63 inf + 0 377.829 * * [simplify]: Extracting #4: cost 122 inf + 1 377.830 * * [simplify]: Extracting #5: cost 161 inf + 207 377.831 * * [simplify]: Extracting #6: cost 224 inf + 1963 377.835 * * [simplify]: Extracting #7: cost 193 inf + 7532 377.847 * * [simplify]: Extracting #8: cost 119 inf + 25321 377.864 * * [simplify]: Extracting #9: cost 51 inf + 54264 377.895 * * [simplify]: Extracting #10: cost 7 inf + 89532 377.934 * * [simplify]: Extracting #11: cost 1 inf + 96042 377.971 * * [simplify]: Extracting #12: cost 0 inf + 97787 378.009 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 378.009 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 378.010 * * * * [progress]: [ 1161 / 5906 ] simplifiying candidate # 378.010 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 378.011 * * [simplify]: iters left: 6 (47 enodes) 378.026 * * [simplify]: iters left: 5 (223 enodes) 378.096 * * [simplify]: Extracting #0: cost 1 inf + 0 378.096 * * [simplify]: Extracting #1: cost 3 inf + 0 378.096 * * [simplify]: Extracting #2: cost 10 inf + 0 378.096 * * [simplify]: Extracting #3: cost 57 inf + 0 378.096 * * [simplify]: Extracting #4: cost 103 inf + 86 378.097 * * [simplify]: Extracting #5: cost 122 inf + 1472 378.099 * * [simplify]: Extracting #6: cost 189 inf + 2976 378.103 * * [simplify]: Extracting #7: cost 162 inf + 8098 378.110 * * [simplify]: Extracting #8: cost 122 inf + 19163 378.123 * * [simplify]: Extracting #9: cost 75 inf + 38114 378.145 * * [simplify]: Extracting #10: cost 36 inf + 53352 378.171 * * [simplify]: Extracting #11: cost 5 inf + 75608 378.200 * * [simplify]: Extracting #12: cost 0 inf + 81973 378.217 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 378.217 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 378.217 * * * * [progress]: [ 1162 / 5906 ] simplifiying candidate # 378.218 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 378.218 * * [simplify]: iters left: 6 (47 enodes) 378.233 * * [simplify]: iters left: 5 (230 enodes) 378.307 * * [simplify]: Extracting #0: cost 1 inf + 0 378.307 * * [simplify]: Extracting #1: cost 3 inf + 0 378.307 * * [simplify]: Extracting #2: cost 6 inf + 0 378.307 * * [simplify]: Extracting #3: cost 52 inf + 0 378.307 * * [simplify]: Extracting #4: cost 118 inf + 0 378.308 * * [simplify]: Extracting #5: cost 191 inf + 0 378.309 * * [simplify]: Extracting #6: cost 270 inf + 169 378.312 * * [simplify]: Extracting #7: cost 249 inf + 3908 378.319 * * [simplify]: Extracting #8: cost 155 inf + 20875 378.331 * * [simplify]: Extracting #9: cost 98 inf + 38524 378.352 * * [simplify]: Extracting #10: cost 51 inf + 60062 378.364 * * [simplify]: Extracting #11: cost 37 inf + 70488 378.389 * * [simplify]: Extracting #12: cost 4 inf + 101313 378.420 * * [simplify]: Extracting #13: cost 0 inf + 107533 378.461 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 378.462 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 378.463 * * * * [progress]: [ 1163 / 5906 ] simplifiying candidate # 378.463 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 378.464 * * [simplify]: iters left: 6 (48 enodes) 378.488 * * [simplify]: iters left: 5 (239 enodes) 378.551 * * [simplify]: Extracting #0: cost 1 inf + 0 378.551 * * [simplify]: Extracting #1: cost 3 inf + 0 378.551 * * [simplify]: Extracting #2: cost 6 inf + 0 378.552 * * [simplify]: Extracting #3: cost 56 inf + 0 378.552 * * [simplify]: Extracting #4: cost 141 inf + 0 378.552 * * [simplify]: Extracting #5: cost 202 inf + 248 378.554 * * [simplify]: Extracting #6: cost 250 inf + 4472 378.556 * * [simplify]: Extracting #7: cost 229 inf + 9137 378.563 * * [simplify]: Extracting #8: cost 160 inf + 21286 378.577 * * [simplify]: Extracting #9: cost 94 inf + 43766 378.598 * * [simplify]: Extracting #10: cost 16 inf + 93152 378.628 * * [simplify]: Extracting #11: cost 1 inf + 109125 378.658 * * [simplify]: Extracting #12: cost 0 inf + 110950 378.699 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (+ phi1 phi2) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2)))))) 378.699 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (+ phi1 phi2) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 378.700 * * * * [progress]: [ 1164 / 5906 ] simplifiying candidate # 378.701 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 378.701 * * [simplify]: iters left: 6 (48 enodes) 378.727 * * [simplify]: iters left: 5 (239 enodes) 378.813 * * [simplify]: Extracting #0: cost 1 inf + 0 378.813 * * [simplify]: Extracting #1: cost 3 inf + 0 378.813 * * [simplify]: Extracting #2: cost 6 inf + 0 378.813 * * [simplify]: Extracting #3: cost 58 inf + 0 378.814 * * [simplify]: Extracting #4: cost 139 inf + 0 378.815 * * [simplify]: Extracting #5: cost 197 inf + 210 378.818 * * [simplify]: Extracting #6: cost 244 inf + 4357 378.822 * * [simplify]: Extracting #7: cost 226 inf + 9135 378.830 * * [simplify]: Extracting #8: cost 155 inf + 21617 378.842 * * [simplify]: Extracting #9: cost 104 inf + 37049 378.866 * * [simplify]: Extracting #10: cost 42 inf + 70495 378.888 * * [simplify]: Extracting #11: cost 7 inf + 102007 378.919 * * [simplify]: Extracting #12: cost 0 inf + 109662 378.965 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ phi1 phi2) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))))) 378.965 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ phi1 phi2) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 378.966 * * * * [progress]: [ 1165 / 5906 ] simplifiying candidate # 378.967 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 378.967 * * [simplify]: iters left: 6 (42 enodes) 378.988 * * [simplify]: iters left: 5 (203 enodes) 379.074 * * [simplify]: Extracting #0: cost 1 inf + 0 379.074 * * [simplify]: Extracting #1: cost 3 inf + 0 379.075 * * [simplify]: Extracting #2: cost 6 inf + 0 379.075 * * [simplify]: Extracting #3: cost 50 inf + 0 379.075 * * [simplify]: Extracting #4: cost 107 inf + 0 379.076 * * [simplify]: Extracting #5: cost 149 inf + 44 379.077 * * [simplify]: Extracting #6: cost 211 inf + 1475 379.080 * * [simplify]: Extracting #7: cost 195 inf + 5610 379.088 * * [simplify]: Extracting #8: cost 119 inf + 22062 379.095 * * [simplify]: Extracting #9: cost 72 inf + 39141 379.110 * * [simplify]: Extracting #10: cost 15 inf + 76762 379.132 * * [simplify]: Extracting #11: cost 0 inf + 88201 379.160 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) 379.161 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 379.161 * * * * [progress]: [ 1166 / 5906 ] simplifiying candidate # 379.161 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 379.162 * * [simplify]: iters left: 6 (47 enodes) 379.174 * * [simplify]: iters left: 5 (231 enodes) 379.225 * * [simplify]: Extracting #0: cost 1 inf + 0 379.225 * * [simplify]: Extracting #1: cost 3 inf + 0 379.225 * * [simplify]: Extracting #2: cost 10 inf + 0 379.225 * * [simplify]: Extracting #3: cost 70 inf + 0 379.226 * * [simplify]: Extracting #4: cost 124 inf + 42 379.226 * * [simplify]: Extracting #5: cost 169 inf + 290 379.227 * * [simplify]: Extracting #6: cost 234 inf + 2121 379.229 * * [simplify]: Extracting #7: cost 221 inf + 6491 379.233 * * [simplify]: Extracting #8: cost 122 inf + 27394 379.242 * * [simplify]: Extracting #9: cost 56 inf + 55434 379.257 * * [simplify]: Extracting #10: cost 25 inf + 77391 379.276 * * [simplify]: Extracting #11: cost 4 inf + 95152 379.306 * * [simplify]: Extracting #12: cost 0 inf + 101972 379.346 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 379.346 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 379.347 * * * * [progress]: [ 1167 / 5906 ] simplifiying candidate # 379.348 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 379.348 * * [simplify]: iters left: 6 (42 enodes) 379.359 * * [simplify]: iters left: 5 (203 enodes) 379.412 * * [simplify]: Extracting #0: cost 1 inf + 0 379.412 * * [simplify]: Extracting #1: cost 3 inf + 0 379.412 * * [simplify]: Extracting #2: cost 10 inf + 0 379.412 * * [simplify]: Extracting #3: cost 62 inf + 0 379.413 * * [simplify]: Extracting #4: cost 104 inf + 86 379.414 * * [simplify]: Extracting #5: cost 129 inf + 1716 379.416 * * [simplify]: Extracting #6: cost 199 inf + 2932 379.418 * * [simplify]: Extracting #7: cost 199 inf + 4399 379.422 * * [simplify]: Extracting #8: cost 134 inf + 16413 379.429 * * [simplify]: Extracting #9: cost 78 inf + 40398 379.440 * * [simplify]: Extracting #10: cost 23 inf + 65396 379.457 * * [simplify]: Extracting #11: cost 4 inf + 80631 379.478 * * [simplify]: Extracting #12: cost 1 inf + 83546 379.504 * * [simplify]: Extracting #13: cost 0 inf + 85091 379.528 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ phi1 phi2))))) 379.528 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 379.529 * * * * [progress]: [ 1168 / 5906 ] simplifiying candidate # 379.529 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 379.530 * * [simplify]: iters left: 6 (47 enodes) 379.541 * * [simplify]: iters left: 5 (231 enodes) 379.621 * * [simplify]: Extracting #0: cost 1 inf + 0 379.621 * * [simplify]: Extracting #1: cost 3 inf + 0 379.621 * * [simplify]: Extracting #2: cost 10 inf + 0 379.622 * * [simplify]: Extracting #3: cost 70 inf + 0 379.622 * * [simplify]: Extracting #4: cost 124 inf + 42 379.622 * * [simplify]: Extracting #5: cost 168 inf + 332 379.624 * * [simplify]: Extracting #6: cost 225 inf + 3938 379.625 * * [simplify]: Extracting #7: cost 223 inf + 6128 379.629 * * [simplify]: Extracting #8: cost 121 inf + 27433 379.640 * * [simplify]: Extracting #9: cost 56 inf + 56074 379.666 * * [simplify]: Extracting #10: cost 25 inf + 78351 379.702 * * [simplify]: Extracting #11: cost 4 inf + 96112 379.738 * * [simplify]: Extracting #12: cost 0 inf + 102932 379.770 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 379.771 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 379.771 * * * * [progress]: [ 1169 / 5906 ] simplifiying candidate # 379.771 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 379.772 * * [simplify]: iters left: 6 (42 enodes) 379.782 * * [simplify]: iters left: 5 (203 enodes) 379.832 * * [simplify]: Extracting #0: cost 1 inf + 0 379.832 * * [simplify]: Extracting #1: cost 3 inf + 0 379.832 * * [simplify]: Extracting #2: cost 10 inf + 0 379.832 * * [simplify]: Extracting #3: cost 61 inf + 0 379.833 * * [simplify]: Extracting #4: cost 104 inf + 86 379.833 * * [simplify]: Extracting #5: cost 132 inf + 1310 379.834 * * [simplify]: Extracting #6: cost 199 inf + 2932 379.835 * * [simplify]: Extracting #7: cost 201 inf + 4155 379.841 * * [simplify]: Extracting #8: cost 132 inf + 16936 379.855 * * [simplify]: Extracting #9: cost 77 inf + 40282 379.868 * * [simplify]: Extracting #10: cost 20 inf + 68937 379.887 * * [simplify]: Extracting #11: cost 2 inf + 82401 379.923 * * [simplify]: Extracting #12: cost 1 inf + 83946 379.958 * * [simplify]: Extracting #13: cost 0 inf + 85491 379.992 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (+ phi1 phi2))) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 379.992 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (+ phi1 phi2))) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 379.993 * * * * [progress]: [ 1170 / 5906 ] simplifiying candidate # 379.994 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 379.995 * * [simplify]: iters left: 6 (47 enodes) 380.015 * * [simplify]: iters left: 5 (226 enodes) 380.078 * * [simplify]: Extracting #0: cost 1 inf + 0 380.078 * * [simplify]: Extracting #1: cost 3 inf + 0 380.078 * * [simplify]: Extracting #2: cost 6 inf + 0 380.079 * * [simplify]: Extracting #3: cost 48 inf + 0 380.079 * * [simplify]: Extracting #4: cost 116 inf + 0 380.079 * * [simplify]: Extracting #5: cost 172 inf + 0 380.080 * * [simplify]: Extracting #6: cost 242 inf + 169 380.081 * * [simplify]: Extracting #7: cost 215 inf + 4851 380.084 * * [simplify]: Extracting #8: cost 130 inf + 20949 380.091 * * [simplify]: Extracting #9: cost 71 inf + 41420 380.104 * * [simplify]: Extracting #10: cost 37 inf + 60996 380.131 * * [simplify]: Extracting #11: cost 3 inf + 88762 380.151 * * [simplify]: Extracting #12: cost 1 inf + 91732 380.171 * * [simplify]: Extracting #13: cost 0 inf + 93237 380.198 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 380.198 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 380.199 * * * * [progress]: [ 1171 / 5906 ] simplifiying candidate # 380.199 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 380.200 * * [simplify]: iters left: 6 (48 enodes) 380.214 * * [simplify]: iters left: 5 (235 enodes) 380.277 * * [simplify]: Extracting #0: cost 1 inf + 0 380.277 * * [simplify]: Extracting #1: cost 3 inf + 0 380.277 * * [simplify]: Extracting #2: cost 6 inf + 0 380.277 * * [simplify]: Extracting #3: cost 52 inf + 0 380.277 * * [simplify]: Extracting #4: cost 139 inf + 0 380.278 * * [simplify]: Extracting #5: cost 181 inf + 332 380.279 * * [simplify]: Extracting #6: cost 211 inf + 5694 380.282 * * [simplify]: Extracting #7: cost 193 inf + 10754 380.285 * * [simplify]: Extracting #8: cost 136 inf + 20509 380.291 * * [simplify]: Extracting #9: cost 93 inf + 35211 380.303 * * [simplify]: Extracting #10: cost 50 inf + 55830 380.331 * * [simplify]: Extracting #11: cost 7 inf + 90119 380.371 * * [simplify]: Extracting #12: cost 0 inf + 96214 380.410 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 380.410 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 380.411 * * * * [progress]: [ 1172 / 5906 ] simplifiying candidate # 380.411 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 380.412 * * [simplify]: iters left: 6 (48 enodes) 380.433 * * [simplify]: iters left: 5 (235 enodes) 380.509 * * [simplify]: Extracting #0: cost 1 inf + 0 380.509 * * [simplify]: Extracting #1: cost 3 inf + 0 380.509 * * [simplify]: Extracting #2: cost 6 inf + 0 380.509 * * [simplify]: Extracting #3: cost 54 inf + 0 380.510 * * [simplify]: Extracting #4: cost 137 inf + 0 380.511 * * [simplify]: Extracting #5: cost 179 inf + 168 380.513 * * [simplify]: Extracting #6: cost 217 inf + 3956 380.517 * * [simplify]: Extracting #7: cost 198 inf + 9135 380.524 * * [simplify]: Extracting #8: cost 141 inf + 18239 380.535 * * [simplify]: Extracting #9: cost 88 inf + 36324 380.556 * * [simplify]: Extracting #10: cost 33 inf + 65085 380.592 * * [simplify]: Extracting #11: cost 1 inf + 91061 380.628 * * [simplify]: Extracting #12: cost 0 inf + 92606 380.661 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) 380.661 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 380.661 * * * * [progress]: [ 1173 / 5906 ] simplifiying candidate # 380.662 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 380.662 * * [simplify]: iters left: 6 (42 enodes) 380.673 * * [simplify]: iters left: 5 (199 enodes) 380.716 * * [simplify]: Extracting #0: cost 1 inf + 0 380.716 * * [simplify]: Extracting #1: cost 3 inf + 0 380.716 * * [simplify]: Extracting #2: cost 6 inf + 0 380.716 * * [simplify]: Extracting #3: cost 46 inf + 0 380.717 * * [simplify]: Extracting #4: cost 96 inf + 0 380.717 * * [simplify]: Extracting #5: cost 119 inf + 127 380.719 * * [simplify]: Extracting #6: cost 173 inf + 1276 380.721 * * [simplify]: Extracting #7: cost 164 inf + 4358 380.725 * * [simplify]: Extracting #8: cost 127 inf + 9432 380.729 * * [simplify]: Extracting #9: cost 85 inf + 25460 380.741 * * [simplify]: Extracting #10: cost 12 inf + 67947 380.758 * * [simplify]: Extracting #11: cost 0 inf + 69947 380.788 * * [simplify]: Extracting #12: cost 0 inf + 68688 380.816 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))) 380.816 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 380.817 * * * * [progress]: [ 1174 / 5906 ] simplifiying candidate # 380.818 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 380.818 * * [simplify]: iters left: 6 (47 enodes) 380.840 * * [simplify]: iters left: 5 (227 enodes) 380.897 * * [simplify]: Extracting #0: cost 1 inf + 0 380.897 * * [simplify]: Extracting #1: cost 3 inf + 0 380.897 * * [simplify]: Extracting #2: cost 10 inf + 0 380.897 * * [simplify]: Extracting #3: cost 66 inf + 0 380.898 * * [simplify]: Extracting #4: cost 118 inf + 42 380.898 * * [simplify]: Extracting #5: cost 143 inf + 332 380.899 * * [simplify]: Extracting #6: cost 198 inf + 2526 380.900 * * [simplify]: Extracting #7: cost 190 inf + 5697 380.903 * * [simplify]: Extracting #8: cost 139 inf + 13771 380.908 * * [simplify]: Extracting #9: cost 85 inf + 31439 380.916 * * [simplify]: Extracting #10: cost 53 inf + 44981 380.928 * * [simplify]: Extracting #11: cost 30 inf + 60415 380.957 * * [simplify]: Extracting #12: cost 3 inf + 82370 380.974 * * [simplify]: Extracting #13: cost 1 inf + 85340 380.992 * * [simplify]: Extracting #14: cost 0 inf + 86845 381.023 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 381.023 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 381.024 * * * * [progress]: [ 1175 / 5906 ] simplifiying candidate # 381.024 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 381.025 * * [simplify]: iters left: 6 (42 enodes) 381.036 * * [simplify]: iters left: 5 (200 enodes) 381.075 * * [simplify]: Extracting #0: cost 1 inf + 0 381.075 * * [simplify]: Extracting #1: cost 3 inf + 0 381.075 * * [simplify]: Extracting #2: cost 10 inf + 0 381.075 * * [simplify]: Extracting #3: cost 51 inf + 0 381.075 * * [simplify]: Extracting #4: cost 95 inf + 86 381.076 * * [simplify]: Extracting #5: cost 108 inf + 1108 381.077 * * [simplify]: Extracting #6: cost 165 inf + 2852 381.078 * * [simplify]: Extracting #7: cost 164 inf + 4158 381.082 * * [simplify]: Extracting #8: cost 82 inf + 27098 381.092 * * [simplify]: Extracting #9: cost 17 inf + 61231 381.107 * * [simplify]: Extracting #10: cost 0 inf + 67815 381.121 * * [simplify]: Extracting #11: cost 0 inf + 67262 381.150 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)))))) 381.150 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 381.152 * * * * [progress]: [ 1176 / 5906 ] simplifiying candidate # 381.152 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 381.153 * * [simplify]: iters left: 6 (47 enodes) 381.177 * * [simplify]: iters left: 5 (227 enodes) 381.237 * * [simplify]: Extracting #0: cost 1 inf + 0 381.237 * * [simplify]: Extracting #1: cost 3 inf + 0 381.238 * * [simplify]: Extracting #2: cost 10 inf + 0 381.239 * * [simplify]: Extracting #3: cost 66 inf + 0 381.239 * * [simplify]: Extracting #4: cost 118 inf + 42 381.240 * * [simplify]: Extracting #5: cost 143 inf + 333 381.242 * * [simplify]: Extracting #6: cost 192 inf + 4100 381.244 * * [simplify]: Extracting #7: cost 190 inf + 5898 381.254 * * [simplify]: Extracting #8: cost 138 inf + 14023 381.264 * * [simplify]: Extracting #9: cost 84 inf + 31944 381.279 * * [simplify]: Extracting #10: cost 53 inf + 45781 381.298 * * [simplify]: Extracting #11: cost 30 inf + 61295 381.328 * * [simplify]: Extracting #12: cost 3 inf + 83250 381.361 * * [simplify]: Extracting #13: cost 1 inf + 86220 381.394 * * [simplify]: Extracting #14: cost 0 inf + 87725 381.428 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 381.428 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 381.429 * * * * [progress]: [ 1177 / 5906 ] simplifiying candidate # 381.430 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 381.430 * * [simplify]: iters left: 6 (42 enodes) 381.453 * * [simplify]: iters left: 5 (200 enodes) 381.502 * * [simplify]: Extracting #0: cost 1 inf + 0 381.502 * * [simplify]: Extracting #1: cost 3 inf + 0 381.502 * * [simplify]: Extracting #2: cost 10 inf + 0 381.502 * * [simplify]: Extracting #3: cost 50 inf + 0 381.503 * * [simplify]: Extracting #4: cost 94 inf + 208 381.503 * * [simplify]: Extracting #5: cost 104 inf + 1636 381.504 * * [simplify]: Extracting #6: cost 165 inf + 2852 381.505 * * [simplify]: Extracting #7: cost 162 inf + 4402 381.510 * * [simplify]: Extracting #8: cost 82 inf + 27941 381.530 * * [simplify]: Extracting #9: cost 19 inf + 58599 381.548 * * [simplify]: Extracting #10: cost 2 inf + 66787 381.562 * * [simplify]: Extracting #11: cost 0 inf + 67582 381.583 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)))))) 381.583 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 381.584 * * * * [progress]: [ 1178 / 5906 ] simplifiying candidate # 381.584 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 381.585 * * [simplify]: iters left: 6 (43 enodes) 381.596 * * [simplify]: iters left: 5 (202 enodes) 381.659 * * [simplify]: Extracting #0: cost 1 inf + 0 381.659 * * [simplify]: Extracting #1: cost 3 inf + 0 381.659 * * [simplify]: Extracting #2: cost 6 inf + 0 381.659 * * [simplify]: Extracting #3: cost 44 inf + 0 381.660 * * [simplify]: Extracting #4: cost 103 inf + 0 381.660 * * [simplify]: Extracting #5: cost 161 inf + 1 381.662 * * [simplify]: Extracting #6: cost 210 inf + 929 381.665 * * [simplify]: Extracting #7: cost 193 inf + 5396 381.671 * * [simplify]: Extracting #8: cost 113 inf + 19816 381.680 * * [simplify]: Extracting #9: cost 81 inf + 30199 381.696 * * [simplify]: Extracting #10: cost 44 inf + 49072 381.721 * * [simplify]: Extracting #11: cost 12 inf + 74919 381.738 * * [simplify]: Extracting #12: cost 0 inf + 84025 381.762 * * [simplify]: Extracting #13: cost 0 inf + 82846 381.782 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))))) 381.782 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 381.782 * * * * [progress]: [ 1179 / 5906 ] simplifiying candidate # 381.783 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 381.783 * * [simplify]: iters left: 6 (44 enodes) 381.798 * * [simplify]: iters left: 5 (211 enodes) 381.853 * * [simplify]: Extracting #0: cost 1 inf + 0 381.853 * * [simplify]: Extracting #1: cost 3 inf + 0 381.853 * * [simplify]: Extracting #2: cost 6 inf + 0 381.854 * * [simplify]: Extracting #3: cost 48 inf + 0 381.854 * * [simplify]: Extracting #4: cost 126 inf + 0 381.854 * * [simplify]: Extracting #5: cost 169 inf + 675 381.855 * * [simplify]: Extracting #6: cost 191 inf + 5815 381.858 * * [simplify]: Extracting #7: cost 165 inf + 12228 381.861 * * [simplify]: Extracting #8: cost 119 inf + 19891 381.867 * * [simplify]: Extracting #9: cost 72 inf + 37898 381.879 * * [simplify]: Extracting #10: cost 39 inf + 52721 381.903 * * [simplify]: Extracting #11: cost 8 inf + 81225 381.924 * * [simplify]: Extracting #12: cost 0 inf + 85936 381.945 * * [simplify]: Extracting #13: cost 0 inf + 85543 381.980 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 381.980 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 381.982 * * * * [progress]: [ 1180 / 5906 ] simplifiying candidate # 381.982 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 381.983 * * [simplify]: iters left: 6 (44 enodes) 382.005 * * [simplify]: iters left: 5 (211 enodes) 382.082 * * [simplify]: Extracting #0: cost 1 inf + 0 382.082 * * [simplify]: Extracting #1: cost 3 inf + 0 382.082 * * [simplify]: Extracting #2: cost 6 inf + 0 382.083 * * [simplify]: Extracting #3: cost 50 inf + 0 382.083 * * [simplify]: Extracting #4: cost 124 inf + 0 382.083 * * [simplify]: Extracting #5: cost 159 inf + 1506 382.085 * * [simplify]: Extracting #6: cost 180 inf + 6295 382.087 * * [simplify]: Extracting #7: cost 164 inf + 10789 382.091 * * [simplify]: Extracting #8: cost 113 inf + 20106 382.098 * * [simplify]: Extracting #9: cost 70 inf + 37120 382.110 * * [simplify]: Extracting #10: cost 39 inf + 50102 382.134 * * [simplify]: Extracting #11: cost 13 inf + 73768 382.153 * * [simplify]: Extracting #12: cost 0 inf + 83263 382.172 * * [simplify]: Extracting #13: cost 0 inf + 82215 382.206 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 382.206 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 382.207 * * * * [progress]: [ 1181 / 5906 ] simplifiying candidate # 382.207 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 382.208 * * [simplify]: iters left: 6 (38 enodes) 382.224 * * [simplify]: iters left: 5 (175 enodes) 382.263 * * [simplify]: iters left: 4 (457 enodes) 382.512 * * [simplify]: Extracting #0: cost 1 inf + 0 382.512 * * [simplify]: Extracting #1: cost 3 inf + 0 382.512 * * [simplify]: Extracting #2: cost 16 inf + 0 382.512 * * [simplify]: Extracting #3: cost 130 inf + 0 382.513 * * [simplify]: Extracting #4: cost 329 inf + 86 382.516 * * [simplify]: Extracting #5: cost 402 inf + 5370 382.522 * * [simplify]: Extracting #6: cost 396 inf + 18429 382.551 * * [simplify]: Extracting #7: cost 214 inf + 80342 382.602 * * [simplify]: Extracting #8: cost 56 inf + 153461 382.667 * * [simplify]: Extracting #9: cost 3 inf + 183153 382.719 * * [simplify]: Extracting #10: cost 0 inf + 185228 382.777 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))) 382.777 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 382.777 * * * * [progress]: [ 1182 / 5906 ] simplifiying candidate # 382.778 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 382.778 * * [simplify]: iters left: 6 (43 enodes) 382.803 * * [simplify]: iters left: 5 (203 enodes) 382.887 * * [simplify]: Extracting #0: cost 1 inf + 0 382.887 * * [simplify]: Extracting #1: cost 3 inf + 0 382.887 * * [simplify]: Extracting #2: cost 10 inf + 0 382.888 * * [simplify]: Extracting #3: cost 58 inf + 0 382.888 * * [simplify]: Extracting #4: cost 107 inf + 1 382.889 * * [simplify]: Extracting #5: cost 135 inf + 544 382.891 * * [simplify]: Extracting #6: cost 171 inf + 4167 382.893 * * [simplify]: Extracting #7: cost 164 inf + 6702 382.899 * * [simplify]: Extracting #8: cost 96 inf + 20989 382.915 * * [simplify]: Extracting #9: cost 28 inf + 56751 382.939 * * [simplify]: Extracting #10: cost 7 inf + 68951 382.968 * * [simplify]: Extracting #11: cost 0 inf + 76090 382.991 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) 382.991 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 382.992 * * * * [progress]: [ 1183 / 5906 ] simplifiying candidate # 382.993 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 382.993 * * [simplify]: iters left: 6 (38 enodes) 383.003 * * [simplify]: iters left: 5 (175 enodes) 383.067 * * [simplify]: iters left: 4 (438 enodes) 383.260 * * [simplify]: Extracting #0: cost 1 inf + 0 383.260 * * [simplify]: Extracting #1: cost 3 inf + 0 383.260 * * [simplify]: Extracting #2: cost 12 inf + 0 383.260 * * [simplify]: Extracting #3: cost 87 inf + 0 383.261 * * [simplify]: Extracting #4: cost 255 inf + 86 383.265 * * [simplify]: Extracting #5: cost 379 inf + 2288 383.274 * * [simplify]: Extracting #6: cost 363 inf + 18255 383.301 * * [simplify]: Extracting #7: cost 199 inf + 73018 383.360 * * [simplify]: Extracting #8: cost 41 inf + 143352 383.424 * * [simplify]: Extracting #9: cost 4 inf + 158144 383.488 * * [simplify]: Extracting #10: cost 0 inf + 159776 383.527 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) 383.527 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 383.528 * * * * [progress]: [ 1184 / 5906 ] simplifiying candidate # 383.529 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 383.529 * * [simplify]: iters left: 6 (43 enodes) 383.549 * * [simplify]: iters left: 5 (203 enodes) 383.627 * * [simplify]: Extracting #0: cost 1 inf + 0 383.627 * * [simplify]: Extracting #1: cost 3 inf + 0 383.627 * * [simplify]: Extracting #2: cost 10 inf + 0 383.627 * * [simplify]: Extracting #3: cost 58 inf + 0 383.628 * * [simplify]: Extracting #4: cost 107 inf + 1 383.628 * * [simplify]: Extracting #5: cost 134 inf + 798 383.630 * * [simplify]: Extracting #6: cost 176 inf + 2466 383.632 * * [simplify]: Extracting #7: cost 165 inf + 5948 383.637 * * [simplify]: Extracting #8: cost 95 inf + 21060 383.650 * * [simplify]: Extracting #9: cost 29 inf + 56547 383.672 * * [simplify]: Extracting #10: cost 6 inf + 71256 383.688 * * [simplify]: Extracting #11: cost 0 inf + 76890 383.714 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (* (- phi1 phi2) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) 383.715 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (* (- phi1 phi2) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 383.715 * * * * [progress]: [ 1185 / 5906 ] simplifiying candidate # 383.716 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 383.717 * * [simplify]: iters left: 6 (38 enodes) 383.730 * * [simplify]: iters left: 5 (175 enodes) 383.772 * * [simplify]: iters left: 4 (438 enodes) 383.951 * * [simplify]: Extracting #0: cost 1 inf + 0 383.951 * * [simplify]: Extracting #1: cost 3 inf + 0 383.951 * * [simplify]: Extracting #2: cost 12 inf + 0 383.952 * * [simplify]: Extracting #3: cost 84 inf + 0 383.953 * * [simplify]: Extracting #4: cost 264 inf + 44 383.956 * * [simplify]: Extracting #5: cost 388 inf + 2244 383.967 * * [simplify]: Extracting #6: cost 366 inf + 19669 383.995 * * [simplify]: Extracting #7: cost 172 inf + 87139 384.034 * * [simplify]: Extracting #8: cost 29 inf + 150927 384.067 * * [simplify]: Extracting #9: cost 6 inf + 158828 384.109 * * [simplify]: Extracting #10: cost 0 inf + 161792 384.170 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) 384.170 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 384.171 * * * * [progress]: [ 1186 / 5906 ] simplifiying candidate # 384.171 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 384.172 * * [simplify]: iters left: 6 (47 enodes) 384.196 * * [simplify]: iters left: 5 (231 enodes) 384.268 * * [simplify]: Extracting #0: cost 1 inf + 0 384.268 * * [simplify]: Extracting #1: cost 3 inf + 0 384.268 * * [simplify]: Extracting #2: cost 6 inf + 0 384.268 * * [simplify]: Extracting #3: cost 52 inf + 0 384.269 * * [simplify]: Extracting #4: cost 118 inf + 0 384.270 * * [simplify]: Extracting #5: cost 190 inf + 0 384.271 * * [simplify]: Extracting #6: cost 252 inf + 885 384.274 * * [simplify]: Extracting #7: cost 223 inf + 5466 384.280 * * [simplify]: Extracting #8: cost 150 inf + 19048 384.292 * * [simplify]: Extracting #9: cost 92 inf + 36524 384.308 * * [simplify]: Extracting #10: cost 46 inf + 58100 384.343 * * [simplify]: Extracting #11: cost 5 inf + 94659 384.385 * * [simplify]: Extracting #12: cost 0 inf + 101504 384.430 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 384.430 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 384.431 * * * * [progress]: [ 1187 / 5906 ] simplifiying candidate # 384.431 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 384.432 * * [simplify]: iters left: 6 (48 enodes) 384.454 * * [simplify]: iters left: 5 (240 enodes) 384.525 * * [simplify]: Extracting #0: cost 1 inf + 0 384.525 * * [simplify]: Extracting #1: cost 3 inf + 0 384.525 * * [simplify]: Extracting #2: cost 6 inf + 0 384.525 * * [simplify]: Extracting #3: cost 56 inf + 0 384.525 * * [simplify]: Extracting #4: cost 141 inf + 0 384.526 * * [simplify]: Extracting #5: cost 199 inf + 412 384.528 * * [simplify]: Extracting #6: cost 219 inf + 6864 384.530 * * [simplify]: Extracting #7: cost 203 inf + 11033 384.534 * * [simplify]: Extracting #8: cost 134 inf + 24342 384.542 * * [simplify]: Extracting #9: cost 75 inf + 45385 384.564 * * [simplify]: Extracting #10: cost 13 inf + 93003 384.605 * * [simplify]: Extracting #11: cost 0 inf + 104561 384.647 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) 384.647 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 384.649 * * * * [progress]: [ 1188 / 5906 ] simplifiying candidate # 384.649 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 384.650 * * [simplify]: iters left: 6 (48 enodes) 384.678 * * [simplify]: iters left: 5 (240 enodes) 384.774 * * [simplify]: Extracting #0: cost 1 inf + 0 384.774 * * [simplify]: Extracting #1: cost 3 inf + 0 384.774 * * [simplify]: Extracting #2: cost 6 inf + 0 384.775 * * [simplify]: Extracting #3: cost 58 inf + 0 384.775 * * [simplify]: Extracting #4: cost 139 inf + 0 384.775 * * [simplify]: Extracting #5: cost 195 inf + 252 384.777 * * [simplify]: Extracting #6: cost 229 inf + 4318 384.779 * * [simplify]: Extracting #7: cost 202 inf + 10587 384.783 * * [simplify]: Extracting #8: cost 136 inf + 23733 384.795 * * [simplify]: Extracting #9: cost 66 inf + 49969 384.814 * * [simplify]: Extracting #10: cost 9 inf + 94269 384.835 * * [simplify]: Extracting #11: cost 0 inf + 103433 384.858 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (+ phi1 phi2) (- phi1 phi2)))))) 384.858 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (+ phi1 phi2) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 384.858 * * * * [progress]: [ 1189 / 5906 ] simplifiying candidate # 384.859 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 384.859 * * [simplify]: iters left: 6 (42 enodes) 384.870 * * [simplify]: iters left: 5 (204 enodes) 384.926 * * [simplify]: Extracting #0: cost 1 inf + 0 384.926 * * [simplify]: Extracting #1: cost 3 inf + 0 384.926 * * [simplify]: Extracting #2: cost 6 inf + 0 384.926 * * [simplify]: Extracting #3: cost 50 inf + 0 384.927 * * [simplify]: Extracting #4: cost 107 inf + 0 384.927 * * [simplify]: Extracting #5: cost 146 inf + 126 384.928 * * [simplify]: Extracting #6: cost 197 inf + 1111 384.929 * * [simplify]: Extracting #7: cost 177 inf + 5411 384.931 * * [simplify]: Extracting #8: cost 134 inf + 11504 384.936 * * [simplify]: Extracting #9: cost 101 inf + 21614 384.943 * * [simplify]: Extracting #10: cost 49 inf + 43019 384.955 * * [simplify]: Extracting #11: cost 24 inf + 58732 384.983 * * [simplify]: Extracting #12: cost 1 inf + 80547 385.002 * * [simplify]: Extracting #13: cost 0 inf + 82172 385.020 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) 385.020 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 385.020 * * * * [progress]: [ 1190 / 5906 ] simplifiying candidate # 385.021 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 385.021 * * [simplify]: iters left: 6 (47 enodes) 385.042 * * [simplify]: iters left: 5 (232 enodes) 385.138 * * [simplify]: Extracting #0: cost 1 inf + 0 385.138 * * [simplify]: Extracting #1: cost 3 inf + 0 385.138 * * [simplify]: Extracting #2: cost 10 inf + 0 385.138 * * [simplify]: Extracting #3: cost 70 inf + 0 385.138 * * [simplify]: Extracting #4: cost 124 inf + 42 385.139 * * [simplify]: Extracting #5: cost 168 inf + 290 385.140 * * [simplify]: Extracting #6: cost 217 inf + 2404 385.141 * * [simplify]: Extracting #7: cost 198 inf + 6900 385.144 * * [simplify]: Extracting #8: cost 151 inf + 15410 385.150 * * [simplify]: Extracting #9: cost 96 inf + 36357 385.163 * * [simplify]: Extracting #10: cost 50 inf + 53973 385.187 * * [simplify]: Extracting #11: cost 29 inf + 67858 385.205 * * [simplify]: Extracting #12: cost 4 inf + 89883 385.234 * * [simplify]: Extracting #13: cost 1 inf + 95078 385.256 * * [simplify]: Extracting #14: cost 0 inf + 96863 385.292 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 385.292 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 385.293 * * * * [progress]: [ 1191 / 5906 ] simplifiying candidate # 385.294 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 385.294 * * [simplify]: iters left: 6 (42 enodes) 385.315 * * [simplify]: iters left: 5 (204 enodes) 385.369 * * [simplify]: Extracting #0: cost 1 inf + 0 385.369 * * [simplify]: Extracting #1: cost 3 inf + 0 385.369 * * [simplify]: Extracting #2: cost 10 inf + 0 385.369 * * [simplify]: Extracting #3: cost 62 inf + 0 385.370 * * [simplify]: Extracting #4: cost 104 inf + 86 385.370 * * [simplify]: Extracting #5: cost 130 inf + 1472 385.371 * * [simplify]: Extracting #6: cost 184 inf + 2932 385.372 * * [simplify]: Extracting #7: cost 181 inf + 4519 385.375 * * [simplify]: Extracting #8: cost 116 inf + 16575 385.382 * * [simplify]: Extracting #9: cost 55 inf + 40212 385.395 * * [simplify]: Extracting #10: cost 16 inf + 63875 385.426 * * [simplify]: Extracting #11: cost 1 inf + 77557 385.452 * * [simplify]: Extracting #12: cost 0 inf + 79102 385.469 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (+ phi1 phi2) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 385.469 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (+ phi1 phi2) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 385.470 * * * * [progress]: [ 1192 / 5906 ] simplifiying candidate # 385.470 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 385.470 * * [simplify]: iters left: 6 (47 enodes) 385.484 * * [simplify]: iters left: 5 (232 enodes) 385.546 * * [simplify]: Extracting #0: cost 1 inf + 0 385.546 * * [simplify]: Extracting #1: cost 3 inf + 0 385.546 * * [simplify]: Extracting #2: cost 10 inf + 0 385.546 * * [simplify]: Extracting #3: cost 70 inf + 0 385.547 * * [simplify]: Extracting #4: cost 124 inf + 42 385.548 * * [simplify]: Extracting #5: cost 167 inf + 332 385.550 * * [simplify]: Extracting #6: cost 211 inf + 3657 385.553 * * [simplify]: Extracting #7: cost 198 inf + 6900 385.558 * * [simplify]: Extracting #8: cost 152 inf + 15158 385.569 * * [simplify]: Extracting #9: cost 95 inf + 38059 385.579 * * [simplify]: Extracting #10: cost 48 inf + 55783 385.594 * * [simplify]: Extracting #11: cost 29 inf + 68818 385.612 * * [simplify]: Extracting #12: cost 4 inf + 90843 385.638 * * [simplify]: Extracting #13: cost 1 inf + 96038 385.659 * * [simplify]: Extracting #14: cost 0 inf + 97823 385.679 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 385.680 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 385.680 * * * * [progress]: [ 1193 / 5906 ] simplifiying candidate # 385.680 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 385.681 * * [simplify]: iters left: 6 (42 enodes) 385.693 * * [simplify]: iters left: 5 (204 enodes) 385.733 * * [simplify]: Extracting #0: cost 1 inf + 0 385.733 * * [simplify]: Extracting #1: cost 3 inf + 0 385.733 * * [simplify]: Extracting #2: cost 10 inf + 0 385.733 * * [simplify]: Extracting #3: cost 61 inf + 0 385.734 * * [simplify]: Extracting #4: cost 103 inf + 208 385.734 * * [simplify]: Extracting #5: cost 128 inf + 1836 385.735 * * [simplify]: Extracting #6: cost 184 inf + 2932 385.737 * * [simplify]: Extracting #7: cost 180 inf + 4640 385.740 * * [simplify]: Extracting #8: cost 115 inf + 16878 385.747 * * [simplify]: Extracting #9: cost 52 inf + 41792 385.759 * * [simplify]: Extracting #10: cost 14 inf + 65192 385.788 * * [simplify]: Extracting #11: cost 1 inf + 77957 385.823 * * [simplify]: Extracting #12: cost 0 inf + 79502 385.846 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)))) (* (* (+ phi1 phi2) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 385.846 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)))) (* (* (+ phi1 phi2) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 385.847 * * * * [progress]: [ 1194 / 5906 ] simplifiying candidate # 385.847 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 385.848 * * [simplify]: iters left: 6 (48 enodes) 385.860 * * [simplify]: iters left: 5 (227 enodes) 385.937 * * [simplify]: Extracting #0: cost 1 inf + 0 385.937 * * [simplify]: Extracting #1: cost 3 inf + 0 385.937 * * [simplify]: Extracting #2: cost 6 inf + 0 385.937 * * [simplify]: Extracting #3: cost 52 inf + 0 385.938 * * [simplify]: Extracting #4: cost 118 inf + 0 385.938 * * [simplify]: Extracting #5: cost 191 inf + 0 385.939 * * [simplify]: Extracting #6: cost 254 inf + 339 385.941 * * [simplify]: Extracting #7: cost 211 inf + 6219 385.944 * * [simplify]: Extracting #8: cost 140 inf + 20858 385.950 * * [simplify]: Extracting #9: cost 93 inf + 37859 385.961 * * [simplify]: Extracting #10: cost 46 inf + 59629 385.984 * * [simplify]: Extracting #11: cost 11 inf + 94144 386.004 * * [simplify]: Extracting #12: cost 0 inf + 106219 386.050 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) 386.051 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 386.052 * * * * [progress]: [ 1195 / 5906 ] simplifiying candidate # 386.052 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 386.053 * * [simplify]: iters left: 6 (49 enodes) 386.078 * * [simplify]: iters left: 5 (236 enodes) 386.180 * * [simplify]: Extracting #0: cost 1 inf + 0 386.180 * * [simplify]: Extracting #1: cost 3 inf + 0 386.180 * * [simplify]: Extracting #2: cost 6 inf + 0 386.181 * * [simplify]: Extracting #3: cost 56 inf + 0 386.181 * * [simplify]: Extracting #4: cost 141 inf + 0 386.182 * * [simplify]: Extracting #5: cost 203 inf + 127 386.184 * * [simplify]: Extracting #6: cost 232 inf + 4518 386.189 * * [simplify]: Extracting #7: cost 200 inf + 10410 386.194 * * [simplify]: Extracting #8: cost 142 inf + 22360 386.202 * * [simplify]: Extracting #9: cost 87 inf + 46706 386.213 * * [simplify]: Extracting #10: cost 44 inf + 64456 386.242 * * [simplify]: Extracting #11: cost 9 inf + 98091 386.265 * * [simplify]: Extracting #12: cost 0 inf + 108796 386.302 * [simplify]: Simplified to (sqrt (+ (* (+ phi1 phi2) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) 386.302 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ phi1 phi2) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 386.303 * * * * [progress]: [ 1196 / 5906 ] simplifiying candidate # 386.303 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 386.304 * * [simplify]: iters left: 6 (49 enodes) 386.318 * * [simplify]: iters left: 5 (236 enodes) 386.407 * * [simplify]: Extracting #0: cost 1 inf + 0 386.407 * * [simplify]: Extracting #1: cost 3 inf + 0 386.407 * * [simplify]: Extracting #2: cost 6 inf + 0 386.408 * * [simplify]: Extracting #3: cost 58 inf + 0 386.408 * * [simplify]: Extracting #4: cost 139 inf + 0 386.409 * * [simplify]: Extracting #5: cost 199 inf + 166 386.412 * * [simplify]: Extracting #6: cost 220 inf + 6212 386.417 * * [simplify]: Extracting #7: cost 198 inf + 10547 386.428 * * [simplify]: Extracting #8: cost 127 inf + 26322 386.444 * * [simplify]: Extracting #9: cost 63 inf + 52252 386.468 * * [simplify]: Extracting #10: cost 33 inf + 72483 386.503 * * [simplify]: Extracting #11: cost 4 inf + 100568 386.543 * * [simplify]: Extracting #12: cost 0 inf + 106548 386.581 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 386.581 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 386.582 * * * * [progress]: [ 1197 / 5906 ] simplifiying candidate # 386.582 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 386.582 * * [simplify]: iters left: 6 (43 enodes) 386.594 * * [simplify]: iters left: 5 (200 enodes) 386.634 * * [simplify]: Extracting #0: cost 1 inf + 0 386.634 * * [simplify]: Extracting #1: cost 3 inf + 0 386.634 * * [simplify]: Extracting #2: cost 6 inf + 0 386.634 * * [simplify]: Extracting #3: cost 50 inf + 0 386.635 * * [simplify]: Extracting #4: cost 107 inf + 0 386.636 * * [simplify]: Extracting #5: cost 143 inf + 373 386.637 * * [simplify]: Extracting #6: cost 191 inf + 1721 386.639 * * [simplify]: Extracting #7: cost 182 inf + 3792 386.646 * * [simplify]: Extracting #8: cost 97 inf + 24965 386.653 * * [simplify]: Extracting #9: cost 53 inf + 42346 386.663 * * [simplify]: Extracting #10: cost 27 inf + 57665 386.688 * * [simplify]: Extracting #11: cost 3 inf + 78692 386.706 * * [simplify]: Extracting #12: cost 0 inf + 83407 386.729 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 386.729 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 386.730 * * * * [progress]: [ 1198 / 5906 ] simplifiying candidate # 386.730 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 386.731 * * [simplify]: iters left: 6 (48 enodes) 386.756 * * [simplify]: iters left: 5 (228 enodes) 386.827 * * [simplify]: Extracting #0: cost 1 inf + 0 386.827 * * [simplify]: Extracting #1: cost 3 inf + 0 386.827 * * [simplify]: Extracting #2: cost 10 inf + 0 386.827 * * [simplify]: Extracting #3: cost 70 inf + 0 386.828 * * [simplify]: Extracting #4: cost 124 inf + 42 386.829 * * [simplify]: Extracting #5: cost 171 inf + 207 386.831 * * [simplify]: Extracting #6: cost 220 inf + 1920 386.833 * * [simplify]: Extracting #7: cost 200 inf + 5858 386.840 * * [simplify]: Extracting #8: cost 136 inf + 21558 386.853 * * [simplify]: Extracting #9: cost 65 inf + 45892 386.884 * * [simplify]: Extracting #10: cost 7 inf + 93228 386.921 * * [simplify]: Extracting #11: cost 0 inf + 98658 386.960 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) 386.960 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 386.961 * * * * [progress]: [ 1199 / 5906 ] simplifiying candidate # 386.962 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 386.962 * * [simplify]: iters left: 6 (43 enodes) 386.982 * * [simplify]: iters left: 5 (200 enodes) 387.023 * * [simplify]: Extracting #0: cost 1 inf + 0 387.023 * * [simplify]: Extracting #1: cost 3 inf + 0 387.023 * * [simplify]: Extracting #2: cost 10 inf + 0 387.023 * * [simplify]: Extracting #3: cost 62 inf + 0 387.024 * * [simplify]: Extracting #4: cost 104 inf + 86 387.025 * * [simplify]: Extracting #5: cost 135 inf + 945 387.026 * * [simplify]: Extracting #6: cost 184 inf + 2770 387.029 * * [simplify]: Extracting #7: cost 178 inf + 4315 387.035 * * [simplify]: Extracting #8: cost 113 inf + 19369 387.043 * * [simplify]: Extracting #9: cost 49 inf + 45951 387.059 * * [simplify]: Extracting #10: cost 12 inf + 70945 387.081 * * [simplify]: Extracting #11: cost 1 inf + 79512 387.099 * * [simplify]: Extracting #12: cost 0 inf + 80737 387.116 * * [simplify]: Extracting #13: cost 0 inf + 80697 387.150 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- phi1 phi2)))) (* (* (+ phi1 phi2) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))))))) 387.150 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- phi1 phi2)))) (* (* (+ phi1 phi2) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 387.151 * * * * [progress]: [ 1200 / 5906 ] simplifiying candidate # 387.152 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 387.153 * * [simplify]: iters left: 6 (48 enodes) 387.179 * * [simplify]: iters left: 5 (228 enodes) 387.244 * * [simplify]: Extracting #0: cost 1 inf + 0 387.245 * * [simplify]: Extracting #1: cost 3 inf + 0 387.245 * * [simplify]: Extracting #2: cost 10 inf + 0 387.245 * * [simplify]: Extracting #3: cost 70 inf + 0 387.245 * * [simplify]: Extracting #4: cost 124 inf + 42 387.246 * * [simplify]: Extracting #5: cost 169 inf + 290 387.248 * * [simplify]: Extracting #6: cost 215 inf + 2728 387.251 * * [simplify]: Extracting #7: cost 200 inf + 5818 387.255 * * [simplify]: Extracting #8: cost 164 inf + 12095 387.263 * * [simplify]: Extracting #9: cost 98 inf + 31359 387.281 * * [simplify]: Extracting #10: cost 44 inf + 57682 387.299 * * [simplify]: Extracting #11: cost 4 inf + 95878 387.329 * * [simplify]: Extracting #12: cost 0 inf + 99618 387.354 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) 387.354 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 387.355 * * * * [progress]: [ 1201 / 5906 ] simplifiying candidate # 387.355 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 387.355 * * [simplify]: iters left: 6 (43 enodes) 387.366 * * [simplify]: iters left: 5 (200 enodes) 387.432 * * [simplify]: Extracting #0: cost 1 inf + 0 387.432 * * [simplify]: Extracting #1: cost 3 inf + 0 387.432 * * [simplify]: Extracting #2: cost 10 inf + 0 387.433 * * [simplify]: Extracting #3: cost 61 inf + 0 387.433 * * [simplify]: Extracting #4: cost 105 inf + 44 387.434 * * [simplify]: Extracting #5: cost 137 inf + 740 387.436 * * [simplify]: Extracting #6: cost 184 inf + 2770 387.438 * * [simplify]: Extracting #7: cost 179 inf + 3993 387.445 * * [simplify]: Extracting #8: cost 106 inf + 23541 387.462 * * [simplify]: Extracting #9: cost 38 inf + 52990 387.491 * * [simplify]: Extracting #10: cost 10 inf + 71513 387.510 * * [simplify]: Extracting #11: cost 1 inf + 79592 387.527 * * [simplify]: Extracting #12: cost 0 inf + 81137 387.558 * * [simplify]: Extracting #13: cost 0 inf + 81097 387.590 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))))))) 387.590 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 387.591 * * * * [progress]: [ 1202 / 5906 ] simplifiying candidate # 387.592 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 387.592 * * [simplify]: iters left: 6 (48 enodes) 387.615 * * [simplify]: iters left: 5 (228 enodes) 387.675 * * [simplify]: Extracting #0: cost 1 inf + 0 387.675 * * [simplify]: Extracting #1: cost 3 inf + 0 387.675 * * [simplify]: Extracting #2: cost 6 inf + 0 387.675 * * [simplify]: Extracting #3: cost 52 inf + 0 387.675 * * [simplify]: Extracting #4: cost 118 inf + 0 387.676 * * [simplify]: Extracting #5: cost 186 inf + 0 387.676 * * [simplify]: Extracting #6: cost 250 inf + 130 387.678 * * [simplify]: Extracting #7: cost 211 inf + 5634 387.683 * * [simplify]: Extracting #8: cost 118 inf + 25691 387.702 * * [simplify]: Extracting #9: cost 59 inf + 48986 387.723 * * [simplify]: Extracting #10: cost 35 inf + 66175 387.760 * * [simplify]: Extracting #11: cost 1 inf + 102964 387.800 * * [simplify]: Extracting #12: cost 0 inf + 104509 387.822 * * [simplify]: Extracting #13: cost 0 inf + 104469 387.864 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 387.865 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 387.866 * * * * [progress]: [ 1203 / 5906 ] simplifiying candidate # 387.866 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 387.867 * * [simplify]: iters left: 6 (49 enodes) 387.892 * * [simplify]: iters left: 5 (237 enodes) 387.957 * * [simplify]: Extracting #0: cost 1 inf + 0 387.957 * * [simplify]: Extracting #1: cost 3 inf + 0 387.957 * * [simplify]: Extracting #2: cost 6 inf + 0 387.957 * * [simplify]: Extracting #3: cost 56 inf + 0 387.958 * * [simplify]: Extracting #4: cost 141 inf + 0 387.958 * * [simplify]: Extracting #5: cost 198 inf + 128 387.959 * * [simplify]: Extracting #6: cost 237 inf + 2820 387.961 * * [simplify]: Extracting #7: cost 206 inf + 8586 387.966 * * [simplify]: Extracting #8: cost 144 inf + 19380 387.972 * * [simplify]: Extracting #9: cost 95 inf + 38242 387.984 * * [simplify]: Extracting #10: cost 46 inf + 61597 388.018 * * [simplify]: Extracting #11: cost 5 inf + 101441 388.039 * * [simplify]: Extracting #12: cost 0 inf + 106926 388.072 * * [simplify]: Extracting #13: cost 0 inf + 106886 388.111 * [simplify]: Simplified to (sqrt (+ (* (+ phi1 phi2) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))))) 388.111 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ phi1 phi2) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 388.111 * * * * [progress]: [ 1204 / 5906 ] simplifiying candidate # 388.112 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 388.112 * * [simplify]: iters left: 6 (49 enodes) 388.124 * * [simplify]: iters left: 5 (237 enodes) 388.206 * * [simplify]: Extracting #0: cost 1 inf + 0 388.206 * * [simplify]: Extracting #1: cost 3 inf + 0 388.206 * * [simplify]: Extracting #2: cost 6 inf + 0 388.207 * * [simplify]: Extracting #3: cost 58 inf + 0 388.207 * * [simplify]: Extracting #4: cost 139 inf + 0 388.208 * * [simplify]: Extracting #5: cost 194 inf + 127 388.211 * * [simplify]: Extracting #6: cost 218 inf + 5609 388.219 * * [simplify]: Extracting #7: cost 184 inf + 13554 388.227 * * [simplify]: Extracting #8: cost 139 inf + 21918 388.238 * * [simplify]: Extracting #9: cost 95 inf + 36995 388.249 * * [simplify]: Extracting #10: cost 49 inf + 58493 388.261 * * [simplify]: Extracting #11: cost 34 inf + 68468 388.283 * * [simplify]: Extracting #12: cost 2 inf + 101868 388.311 * * [simplify]: Extracting #13: cost 0 inf + 104598 388.353 * * [simplify]: Extracting #14: cost 0 inf + 104558 388.380 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 388.380 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 388.380 * * * * [progress]: [ 1205 / 5906 ] simplifiying candidate # 388.381 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 388.381 * * [simplify]: iters left: 6 (43 enodes) 388.392 * * [simplify]: iters left: 5 (201 enodes) 388.444 * * [simplify]: Extracting #0: cost 1 inf + 0 388.445 * * [simplify]: Extracting #1: cost 3 inf + 0 388.445 * * [simplify]: Extracting #2: cost 6 inf + 0 388.445 * * [simplify]: Extracting #3: cost 50 inf + 0 388.445 * * [simplify]: Extracting #4: cost 107 inf + 0 388.445 * * [simplify]: Extracting #5: cost 138 inf + 414 388.446 * * [simplify]: Extracting #6: cost 184 inf + 2047 388.450 * * [simplify]: Extracting #7: cost 165 inf + 6115 388.452 * * [simplify]: Extracting #8: cost 137 inf + 10454 388.457 * * [simplify]: Extracting #9: cost 85 inf + 29718 388.474 * * [simplify]: Extracting #10: cost 38 inf + 48973 388.490 * * [simplify]: Extracting #11: cost 22 inf + 61307 388.505 * * [simplify]: Extracting #12: cost 3 inf + 80022 388.530 * * [simplify]: Extracting #13: cost 0 inf + 84857 388.563 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2)))))) 388.563 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 388.564 * * * * [progress]: [ 1206 / 5906 ] simplifiying candidate # 388.565 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 388.565 * * [simplify]: iters left: 6 (48 enodes) 388.593 * * [simplify]: iters left: 5 (229 enodes) 388.650 * * [simplify]: Extracting #0: cost 1 inf + 0 388.650 * * [simplify]: Extracting #1: cost 3 inf + 0 388.650 * * [simplify]: Extracting #2: cost 10 inf + 0 388.650 * * [simplify]: Extracting #3: cost 70 inf + 0 388.651 * * [simplify]: Extracting #4: cost 124 inf + 42 388.652 * * [simplify]: Extracting #5: cost 166 inf + 207 388.653 * * [simplify]: Extracting #6: cost 211 inf + 2287 388.657 * * [simplify]: Extracting #7: cost 183 inf + 8139 388.663 * * [simplify]: Extracting #8: cost 132 inf + 20787 388.672 * * [simplify]: Extracting #9: cost 81 inf + 40095 388.682 * * [simplify]: Extracting #10: cost 37 inf + 59943 388.697 * * [simplify]: Extracting #11: cost 17 inf + 79603 388.716 * * [simplify]: Extracting #12: cost 0 inf + 98948 388.740 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 388.740 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 388.741 * * * * [progress]: [ 1207 / 5906 ] simplifiying candidate # 388.742 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 388.742 * * [simplify]: iters left: 6 (43 enodes) 388.763 * * [simplify]: iters left: 5 (201 enodes) 388.816 * * [simplify]: Extracting #0: cost 1 inf + 0 388.816 * * [simplify]: Extracting #1: cost 3 inf + 0 388.817 * * [simplify]: Extracting #2: cost 10 inf + 0 388.817 * * [simplify]: Extracting #3: cost 62 inf + 0 388.817 * * [simplify]: Extracting #4: cost 104 inf + 86 388.817 * * [simplify]: Extracting #5: cost 125 inf + 1594 388.818 * * [simplify]: Extracting #6: cost 177 inf + 2976 388.820 * * [simplify]: Extracting #7: cost 158 inf + 7407 388.823 * * [simplify]: Extracting #8: cost 105 inf + 20503 388.831 * * [simplify]: Extracting #9: cost 51 inf + 45646 388.848 * * [simplify]: Extracting #10: cost 9 inf + 71876 388.878 * * [simplify]: Extracting #11: cost 0 inf + 81187 388.909 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) 388.909 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 388.910 * * * * [progress]: [ 1208 / 5906 ] simplifiying candidate # 388.911 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 388.911 * * [simplify]: iters left: 6 (48 enodes) 388.926 * * [simplify]: iters left: 5 (229 enodes) 388.999 * * [simplify]: Extracting #0: cost 1 inf + 0 388.999 * * [simplify]: Extracting #1: cost 3 inf + 0 388.999 * * [simplify]: Extracting #2: cost 10 inf + 0 389.000 * * [simplify]: Extracting #3: cost 70 inf + 0 389.000 * * [simplify]: Extracting #4: cost 124 inf + 42 389.001 * * [simplify]: Extracting #5: cost 164 inf + 290 389.003 * * [simplify]: Extracting #6: cost 216 inf + 1640 389.006 * * [simplify]: Extracting #7: cost 185 inf + 7655 389.011 * * [simplify]: Extracting #8: cost 134 inf + 20242 389.017 * * [simplify]: Extracting #9: cost 81 inf + 41094 389.031 * * [simplify]: Extracting #10: cost 39 inf + 59973 389.052 * * [simplify]: Extracting #11: cost 17 inf + 80563 389.089 * * [simplify]: Extracting #12: cost 0 inf + 99908 389.128 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 389.128 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 389.129 * * * * [progress]: [ 1209 / 5906 ] simplifiying candidate # 389.129 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 389.130 * * [simplify]: iters left: 6 (43 enodes) 389.151 * * [simplify]: iters left: 5 (201 enodes) 389.204 * * [simplify]: Extracting #0: cost 1 inf + 0 389.204 * * [simplify]: Extracting #1: cost 3 inf + 0 389.204 * * [simplify]: Extracting #2: cost 10 inf + 0 389.204 * * [simplify]: Extracting #3: cost 61 inf + 0 389.205 * * [simplify]: Extracting #4: cost 105 inf + 44 389.205 * * [simplify]: Extracting #5: cost 129 inf + 1146 389.206 * * [simplify]: Extracting #6: cost 177 inf + 2976 389.207 * * [simplify]: Extracting #7: cost 158 inf + 7206 389.213 * * [simplify]: Extracting #8: cost 106 inf + 20280 389.222 * * [simplify]: Extracting #9: cost 52 inf + 45061 389.235 * * [simplify]: Extracting #10: cost 9 inf + 72356 389.257 * * [simplify]: Extracting #11: cost 0 inf + 81587 389.287 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) 389.287 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 389.288 * * * * [progress]: [ 1210 / 5906 ] simplifiying candidate # 389.289 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 389.289 * * [simplify]: iters left: 6 (48 enodes) 389.306 * * [simplify]: iters left: 5 (228 enodes) 389.372 * * [simplify]: Extracting #0: cost 1 inf + 0 389.372 * * [simplify]: Extracting #1: cost 3 inf + 0 389.372 * * [simplify]: Extracting #2: cost 6 inf + 0 389.372 * * [simplify]: Extracting #3: cost 52 inf + 0 389.372 * * [simplify]: Extracting #4: cost 118 inf + 0 389.373 * * [simplify]: Extracting #5: cost 190 inf + 0 389.375 * * [simplify]: Extracting #6: cost 255 inf + 127 389.377 * * [simplify]: Extracting #7: cost 217 inf + 4616 389.384 * * [simplify]: Extracting #8: cost 131 inf + 23384 389.404 * * [simplify]: Extracting #9: cost 58 inf + 51703 389.429 * * [simplify]: Extracting #10: cost 31 inf + 72524 389.467 * * [simplify]: Extracting #11: cost 1 inf + 103314 389.507 * * [simplify]: Extracting #12: cost 0 inf + 105059 389.530 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) 389.530 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 389.531 * * * * [progress]: [ 1211 / 5906 ] simplifiying candidate # 389.531 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 389.532 * * [simplify]: iters left: 6 (49 enodes) 389.544 * * [simplify]: iters left: 5 (237 enodes) 389.626 * * [simplify]: Extracting #0: cost 1 inf + 0 389.626 * * [simplify]: Extracting #1: cost 3 inf + 0 389.626 * * [simplify]: Extracting #2: cost 6 inf + 0 389.626 * * [simplify]: Extracting #3: cost 56 inf + 0 389.626 * * [simplify]: Extracting #4: cost 141 inf + 0 389.627 * * [simplify]: Extracting #5: cost 203 inf + 86 389.628 * * [simplify]: Extracting #6: cost 245 inf + 2574 389.629 * * [simplify]: Extracting #7: cost 211 inf + 7568 389.633 * * [simplify]: Extracting #8: cost 146 inf + 20562 389.639 * * [simplify]: Extracting #9: cost 95 inf + 39793 389.658 * * [simplify]: Extracting #10: cost 50 inf + 60887 389.681 * * [simplify]: Extracting #11: cost 33 inf + 72131 389.700 * * [simplify]: Extracting #12: cost 3 inf + 103801 389.734 * * [simplify]: Extracting #13: cost 0 inf + 107796 389.757 * [simplify]: Simplified to (sqrt (+ (* (+ phi1 phi2) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) 389.757 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ phi1 phi2) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 389.757 * * * * [progress]: [ 1212 / 5906 ] simplifiying candidate # 389.758 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 389.758 * * [simplify]: iters left: 6 (49 enodes) 389.771 * * [simplify]: iters left: 5 (237 enodes) 389.856 * * [simplify]: Extracting #0: cost 1 inf + 0 389.856 * * [simplify]: Extracting #1: cost 3 inf + 0 389.856 * * [simplify]: Extracting #2: cost 6 inf + 0 389.856 * * [simplify]: Extracting #3: cost 58 inf + 0 389.856 * * [simplify]: Extracting #4: cost 139 inf + 0 389.857 * * [simplify]: Extracting #5: cost 198 inf + 127 389.858 * * [simplify]: Extracting #6: cost 223 inf + 5645 389.860 * * [simplify]: Extracting #7: cost 193 inf + 11355 389.864 * * [simplify]: Extracting #8: cost 142 inf + 22064 389.873 * * [simplify]: Extracting #9: cost 92 inf + 41800 389.898 * * [simplify]: Extracting #10: cost 44 inf + 64768 389.932 * * [simplify]: Extracting #11: cost 4 inf + 101808 389.953 * * [simplify]: Extracting #12: cost 0 inf + 106788 389.977 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 389.977 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 389.978 * * * * [progress]: [ 1213 / 5906 ] simplifiying candidate # 389.979 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 389.979 * * [simplify]: iters left: 6 (43 enodes) 390.002 * * [simplify]: iters left: 5 (201 enodes) 390.072 * * [simplify]: Extracting #0: cost 1 inf + 0 390.072 * * [simplify]: Extracting #1: cost 3 inf + 0 390.072 * * [simplify]: Extracting #2: cost 6 inf + 0 390.072 * * [simplify]: Extracting #3: cost 50 inf + 0 390.073 * * [simplify]: Extracting #4: cost 107 inf + 0 390.073 * * [simplify]: Extracting #5: cost 142 inf + 414 390.074 * * [simplify]: Extracting #6: cost 190 inf + 2003 390.075 * * [simplify]: Extracting #7: cost 181 inf + 3914 390.077 * * [simplify]: Extracting #8: cost 138 inf + 10406 390.082 * * [simplify]: Extracting #9: cost 81 inf + 31812 390.091 * * [simplify]: Extracting #10: cost 39 inf + 50098 390.102 * * [simplify]: Extracting #11: cost 23 inf + 61152 390.118 * * [simplify]: Extracting #12: cost 3 inf + 79972 390.149 * * [simplify]: Extracting #13: cost 0 inf + 84807 390.168 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 390.168 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 390.169 * * * * [progress]: [ 1214 / 5906 ] simplifiying candidate # 390.169 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 390.170 * * [simplify]: iters left: 6 (48 enodes) 390.182 * * [simplify]: iters left: 5 (229 enodes) 390.272 * * [simplify]: Extracting #0: cost 1 inf + 0 390.272 * * [simplify]: Extracting #1: cost 3 inf + 0 390.272 * * [simplify]: Extracting #2: cost 10 inf + 0 390.273 * * [simplify]: Extracting #3: cost 70 inf + 0 390.273 * * [simplify]: Extracting #4: cost 125 inf + 1 390.274 * * [simplify]: Extracting #5: cost 172 inf + 85 390.276 * * [simplify]: Extracting #6: cost 217 inf + 2204 390.279 * * [simplify]: Extracting #7: cost 193 inf + 6390 390.285 * * [simplify]: Extracting #8: cost 134 inf + 22236 390.298 * * [simplify]: Extracting #9: cost 79 inf + 41361 390.321 * * [simplify]: Extracting #10: cost 24 inf + 73818 390.357 * * [simplify]: Extracting #11: cost 2 inf + 97248 390.385 * * [simplify]: Extracting #12: cost 0 inf + 100098 390.410 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 390.410 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 390.411 * * * * [progress]: [ 1215 / 5906 ] simplifiying candidate # 390.411 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 390.412 * * [simplify]: iters left: 6 (43 enodes) 390.436 * * [simplify]: iters left: 5 (201 enodes) 390.485 * * [simplify]: Extracting #0: cost 1 inf + 0 390.485 * * [simplify]: Extracting #1: cost 3 inf + 0 390.485 * * [simplify]: Extracting #2: cost 10 inf + 0 390.486 * * [simplify]: Extracting #3: cost 62 inf + 0 390.486 * * [simplify]: Extracting #4: cost 104 inf + 86 390.487 * * [simplify]: Extracting #5: cost 130 inf + 1432 390.489 * * [simplify]: Extracting #6: cost 183 inf + 2932 390.491 * * [simplify]: Extracting #7: cost 178 inf + 4076 390.498 * * [simplify]: Extracting #8: cost 106 inf + 21617 390.516 * * [simplify]: Extracting #9: cost 45 inf + 50965 390.550 * * [simplify]: Extracting #10: cost 5 inf + 77787 390.582 * * [simplify]: Extracting #11: cost 0 inf + 81017 390.615 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- phi1 phi2)))) (* (* (+ phi1 phi2) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) 390.615 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- phi1 phi2)))) (* (* (+ phi1 phi2) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 390.616 * * * * [progress]: [ 1216 / 5906 ] simplifiying candidate # 390.617 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 390.617 * * [simplify]: iters left: 6 (48 enodes) 390.631 * * [simplify]: iters left: 5 (229 enodes) 390.695 * * [simplify]: Extracting #0: cost 1 inf + 0 390.695 * * [simplify]: Extracting #1: cost 3 inf + 0 390.695 * * [simplify]: Extracting #2: cost 10 inf + 0 390.696 * * [simplify]: Extracting #3: cost 70 inf + 0 390.696 * * [simplify]: Extracting #4: cost 125 inf + 1 390.697 * * [simplify]: Extracting #5: cost 170 inf + 168 390.698 * * [simplify]: Extracting #6: cost 222 inf + 1476 390.701 * * [simplify]: Extracting #7: cost 196 inf + 6106 390.707 * * [simplify]: Extracting #8: cost 137 inf + 21130 390.718 * * [simplify]: Extracting #9: cost 80 inf + 41296 390.739 * * [simplify]: Extracting #10: cost 25 inf + 74033 390.770 * * [simplify]: Extracting #11: cost 2 inf + 98208 390.805 * * [simplify]: Extracting #12: cost 0 inf + 101058 390.843 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 390.843 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 390.844 * * * * [progress]: [ 1217 / 5906 ] simplifiying candidate # 390.845 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 390.845 * * [simplify]: iters left: 6 (43 enodes) 390.861 * * [simplify]: iters left: 5 (201 enodes) 390.910 * * [simplify]: Extracting #0: cost 1 inf + 0 390.910 * * [simplify]: Extracting #1: cost 3 inf + 0 390.910 * * [simplify]: Extracting #2: cost 10 inf + 0 390.910 * * [simplify]: Extracting #3: cost 61 inf + 0 390.911 * * [simplify]: Extracting #4: cost 105 inf + 44 390.912 * * [simplify]: Extracting #5: cost 132 inf + 1468 390.914 * * [simplify]: Extracting #6: cost 183 inf + 3052 390.916 * * [simplify]: Extracting #7: cost 180 inf + 3871 390.923 * * [simplify]: Extracting #8: cost 114 inf + 19464 390.943 * * [simplify]: Extracting #9: cost 53 inf + 45674 390.970 * * [simplify]: Extracting #10: cost 7 inf + 73524 390.988 * * [simplify]: Extracting #11: cost 0 inf + 81577 391.005 * * [simplify]: Extracting #12: cost 0 inf + 81497 391.024 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 391.024 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 391.025 * * * * [progress]: [ 1218 / 5906 ] simplifiying candidate # 391.025 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 391.025 * * [simplify]: iters left: 6 (48 enodes) 391.042 * * [simplify]: iters left: 5 (228 enodes) 391.120 * * [simplify]: Extracting #0: cost 1 inf + 0 391.120 * * [simplify]: Extracting #1: cost 3 inf + 0 391.120 * * [simplify]: Extracting #2: cost 6 inf + 0 391.120 * * [simplify]: Extracting #3: cost 52 inf + 0 391.120 * * [simplify]: Extracting #4: cost 118 inf + 0 391.120 * * [simplify]: Extracting #5: cost 187 inf + 0 391.121 * * [simplify]: Extracting #6: cost 249 inf + 171 391.122 * * [simplify]: Extracting #7: cost 213 inf + 5230 391.128 * * [simplify]: Extracting #8: cost 123 inf + 23957 391.144 * * [simplify]: Extracting #9: cost 60 inf + 48782 391.165 * * [simplify]: Extracting #10: cost 34 inf + 67440 391.187 * * [simplify]: Extracting #11: cost 1 inf + 102964 391.226 * * [simplify]: Extracting #12: cost 0 inf + 104709 391.266 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) 391.266 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 391.267 * * * * [progress]: [ 1219 / 5906 ] simplifiying candidate # 391.267 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 391.268 * * [simplify]: iters left: 6 (49 enodes) 391.292 * * [simplify]: iters left: 5 (237 enodes) 391.356 * * [simplify]: Extracting #0: cost 1 inf + 0 391.356 * * [simplify]: Extracting #1: cost 3 inf + 0 391.356 * * [simplify]: Extracting #2: cost 6 inf + 0 391.356 * * [simplify]: Extracting #3: cost 56 inf + 0 391.357 * * [simplify]: Extracting #4: cost 141 inf + 0 391.358 * * [simplify]: Extracting #5: cost 200 inf + 86 391.359 * * [simplify]: Extracting #6: cost 237 inf + 2820 391.363 * * [simplify]: Extracting #7: cost 202 inf + 9354 391.370 * * [simplify]: Extracting #8: cost 144 inf + 19741 391.381 * * [simplify]: Extracting #9: cost 98 inf + 36688 391.400 * * [simplify]: Extracting #10: cost 50 inf + 58537 391.412 * * [simplify]: Extracting #11: cost 34 inf + 69836 391.439 * * [simplify]: Extracting #12: cost 2 inf + 104156 391.482 * * [simplify]: Extracting #13: cost 0 inf + 107126 391.524 * [simplify]: Simplified to (sqrt (+ (* (+ phi1 phi2) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))))) 391.524 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ phi1 phi2) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 391.525 * * * * [progress]: [ 1220 / 5906 ] simplifiying candidate # 391.526 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 391.526 * * [simplify]: iters left: 6 (49 enodes) 391.551 * * [simplify]: iters left: 5 (237 enodes) 391.622 * * [simplify]: Extracting #0: cost 1 inf + 0 391.622 * * [simplify]: Extracting #1: cost 3 inf + 0 391.622 * * [simplify]: Extracting #2: cost 6 inf + 0 391.622 * * [simplify]: Extracting #3: cost 58 inf + 0 391.622 * * [simplify]: Extracting #4: cost 139 inf + 0 391.623 * * [simplify]: Extracting #5: cost 195 inf + 127 391.626 * * [simplify]: Extracting #6: cost 219 inf + 5327 391.631 * * [simplify]: Extracting #7: cost 184 inf + 13554 391.638 * * [simplify]: Extracting #8: cost 138 inf + 22200 391.651 * * [simplify]: Extracting #9: cost 90 inf + 40278 391.671 * * [simplify]: Extracting #10: cost 45 inf + 61313 391.701 * * [simplify]: Extracting #11: cost 5 inf + 98273 391.725 * * [simplify]: Extracting #12: cost 0 inf + 103518 391.760 * * [simplify]: Extracting #13: cost 0 inf + 103478 391.781 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 391.782 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 391.782 * * * * [progress]: [ 1221 / 5906 ] simplifiying candidate # 391.782 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 391.783 * * [simplify]: iters left: 6 (43 enodes) 391.803 * * [simplify]: iters left: 5 (201 enodes) 391.889 * * [simplify]: Extracting #0: cost 1 inf + 0 391.889 * * [simplify]: Extracting #1: cost 3 inf + 0 391.889 * * [simplify]: Extracting #2: cost 6 inf + 0 391.889 * * [simplify]: Extracting #3: cost 50 inf + 0 391.890 * * [simplify]: Extracting #4: cost 107 inf + 0 391.890 * * [simplify]: Extracting #5: cost 139 inf + 414 391.892 * * [simplify]: Extracting #6: cost 184 inf + 2047 391.895 * * [simplify]: Extracting #7: cost 161 inf + 6603 391.902 * * [simplify]: Extracting #8: cost 117 inf + 21442 391.914 * * [simplify]: Extracting #9: cost 72 inf + 36153 391.931 * * [simplify]: Extracting #10: cost 38 inf + 49133 391.949 * * [simplify]: Extracting #11: cost 23 inf + 60762 391.964 * * [simplify]: Extracting #12: cost 3 inf + 81142 391.991 * * [simplify]: Extracting #13: cost 0 inf + 86097 392.028 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2)))))) 392.029 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 392.030 * * * * [progress]: [ 1222 / 5906 ] simplifiying candidate # 392.030 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 392.031 * * [simplify]: iters left: 6 (48 enodes) 392.054 * * [simplify]: iters left: 5 (229 enodes) 392.149 * * [simplify]: Extracting #0: cost 1 inf + 0 392.149 * * [simplify]: Extracting #1: cost 3 inf + 0 392.149 * * [simplify]: Extracting #2: cost 10 inf + 0 392.150 * * [simplify]: Extracting #3: cost 70 inf + 0 392.150 * * [simplify]: Extracting #4: cost 125 inf + 1 392.151 * * [simplify]: Extracting #5: cost 169 inf + 85 392.153 * * [simplify]: Extracting #6: cost 210 inf + 2329 392.159 * * [simplify]: Extracting #7: cost 180 inf + 8464 392.168 * * [simplify]: Extracting #8: cost 101 inf + 32327 392.189 * * [simplify]: Extracting #9: cost 27 inf + 70778 392.224 * * [simplify]: Extracting #10: cost 2 inf + 96338 392.253 * * [simplify]: Extracting #11: cost 0 inf + 99148 392.273 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 392.273 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 392.274 * * * * [progress]: [ 1223 / 5906 ] simplifiying candidate # 392.274 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 392.274 * * [simplify]: iters left: 6 (43 enodes) 392.285 * * [simplify]: iters left: 5 (201 enodes) 392.326 * * [simplify]: Extracting #0: cost 1 inf + 0 392.326 * * [simplify]: Extracting #1: cost 3 inf + 0 392.326 * * [simplify]: Extracting #2: cost 10 inf + 0 392.326 * * [simplify]: Extracting #3: cost 62 inf + 0 392.326 * * [simplify]: Extracting #4: cost 104 inf + 86 392.327 * * [simplify]: Extracting #5: cost 127 inf + 1432 392.328 * * [simplify]: Extracting #6: cost 177 inf + 2976 392.329 * * [simplify]: Extracting #7: cost 160 inf + 6883 392.334 * * [simplify]: Extracting #8: cost 104 inf + 20849 392.342 * * [simplify]: Extracting #9: cost 53 inf + 44897 392.355 * * [simplify]: Extracting #10: cost 9 inf + 71817 392.372 * * [simplify]: Extracting #11: cost 0 inf + 80547 392.397 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)))) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) 392.397 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)))) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 392.398 * * * * [progress]: [ 1224 / 5906 ] simplifiying candidate # 392.398 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 392.399 * * [simplify]: iters left: 6 (48 enodes) 392.422 * * [simplify]: iters left: 5 (229 enodes) 392.488 * * [simplify]: Extracting #0: cost 1 inf + 0 392.488 * * [simplify]: Extracting #1: cost 3 inf + 0 392.488 * * [simplify]: Extracting #2: cost 10 inf + 0 392.488 * * [simplify]: Extracting #3: cost 70 inf + 0 392.488 * * [simplify]: Extracting #4: cost 125 inf + 1 392.489 * * [simplify]: Extracting #5: cost 167 inf + 168 392.491 * * [simplify]: Extracting #6: cost 216 inf + 1520 392.494 * * [simplify]: Extracting #7: cost 183 inf + 8020 392.503 * * [simplify]: Extracting #8: cost 104 inf + 31420 392.518 * * [simplify]: Extracting #9: cost 27 inf + 71978 392.537 * * [simplify]: Extracting #10: cost 2 inf + 97298 392.571 * * [simplify]: Extracting #11: cost 0 inf + 100108 392.591 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 392.591 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 392.592 * * * * [progress]: [ 1225 / 5906 ] simplifiying candidate # 392.592 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 392.593 * * [simplify]: iters left: 6 (43 enodes) 392.604 * * [simplify]: iters left: 5 (201 enodes) 392.664 * * [simplify]: Extracting #0: cost 1 inf + 0 392.664 * * [simplify]: Extracting #1: cost 3 inf + 0 392.664 * * [simplify]: Extracting #2: cost 10 inf + 0 392.664 * * [simplify]: Extracting #3: cost 61 inf + 0 392.664 * * [simplify]: Extracting #4: cost 105 inf + 44 392.665 * * [simplify]: Extracting #5: cost 130 inf + 1146 392.666 * * [simplify]: Extracting #6: cost 177 inf + 2976 392.667 * * [simplify]: Extracting #7: cost 160 inf + 6682 392.670 * * [simplify]: Extracting #8: cost 105 inf + 21050 392.679 * * [simplify]: Extracting #9: cost 55 inf + 43708 392.705 * * [simplify]: Extracting #10: cost 9 inf + 72377 392.738 * * [simplify]: Extracting #11: cost 0 inf + 80947 392.770 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))))) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) 392.770 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))))) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 392.771 * * * * [progress]: [ 1226 / 5906 ] simplifiying candidate # 392.772 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 392.772 * * [simplify]: iters left: 6 (51 enodes) 392.800 * * [simplify]: iters left: 5 (256 enodes) 392.878 * * [simplify]: Extracting #0: cost 1 inf + 0 392.878 * * [simplify]: Extracting #1: cost 3 inf + 0 392.878 * * [simplify]: Extracting #2: cost 6 inf + 0 392.878 * * [simplify]: Extracting #3: cost 56 inf + 0 392.878 * * [simplify]: Extracting #4: cost 130 inf + 0 392.879 * * [simplify]: Extracting #5: cost 214 inf + 0 392.880 * * [simplify]: Extracting #6: cost 303 inf + 763 392.881 * * [simplify]: Extracting #7: cost 270 inf + 6182 392.887 * * [simplify]: Extracting #8: cost 148 inf + 34210 392.898 * * [simplify]: Extracting #9: cost 59 inf + 67909 392.930 * * [simplify]: Extracting #10: cost 8 inf + 115270 392.955 * * [simplify]: Extracting #11: cost 1 inf + 125125 393.009 * * [simplify]: Extracting #12: cost 0 inf + 127150 393.041 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 393.041 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 393.041 * * * * [progress]: [ 1227 / 5906 ] simplifiying candidate # 393.042 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 393.042 * * [simplify]: iters left: 6 (52 enodes) 393.059 * * [simplify]: iters left: 5 (265 enodes) 393.151 * * [simplify]: Extracting #0: cost 1 inf + 0 393.151 * * [simplify]: Extracting #1: cost 3 inf + 0 393.151 * * [simplify]: Extracting #2: cost 6 inf + 0 393.151 * * [simplify]: Extracting #3: cost 60 inf + 0 393.151 * * [simplify]: Extracting #4: cost 153 inf + 0 393.152 * * [simplify]: Extracting #5: cost 228 inf + 43 393.153 * * [simplify]: Extracting #6: cost 288 inf + 4147 393.156 * * [simplify]: Extracting #7: cost 255 inf + 10509 393.160 * * [simplify]: Extracting #8: cost 174 inf + 27197 393.168 * * [simplify]: Extracting #9: cost 126 inf + 47460 393.188 * * [simplify]: Extracting #10: cost 85 inf + 66814 393.219 * * [simplify]: Extracting #11: cost 47 inf + 81792 393.241 * * [simplify]: Extracting #12: cost 10 inf + 117757 393.289 * * [simplify]: Extracting #13: cost 0 inf + 131687 393.333 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 393.333 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 393.334 * * * * [progress]: [ 1228 / 5906 ] simplifiying candidate # 393.334 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 393.334 * * [simplify]: iters left: 6 (52 enodes) 393.347 * * [simplify]: iters left: 5 (265 enodes) 393.456 * * [simplify]: Extracting #0: cost 1 inf + 0 393.456 * * [simplify]: Extracting #1: cost 3 inf + 0 393.456 * * [simplify]: Extracting #2: cost 6 inf + 0 393.456 * * [simplify]: Extracting #3: cost 62 inf + 0 393.457 * * [simplify]: Extracting #4: cost 151 inf + 0 393.458 * * [simplify]: Extracting #5: cost 224 inf + 43 393.460 * * [simplify]: Extracting #6: cost 288 inf + 3419 393.465 * * [simplify]: Extracting #7: cost 249 inf + 10672 393.474 * * [simplify]: Extracting #8: cost 175 inf + 25894 393.488 * * [simplify]: Extracting #9: cost 99 inf + 57698 393.503 * * [simplify]: Extracting #10: cost 49 inf + 80214 393.523 * * [simplify]: Extracting #11: cost 16 inf + 108599 393.549 * * [simplify]: Extracting #12: cost 0 inf + 128119 393.598 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* phi1 phi1)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi2 phi2)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))))) 393.598 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* phi1 phi1)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi2 phi2)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 393.599 * * * * [progress]: [ 1229 / 5906 ] simplifiying candidate # 393.599 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 393.600 * * [simplify]: iters left: 6 (46 enodes) 393.621 * * [simplify]: iters left: 5 (229 enodes) 393.678 * * [simplify]: Extracting #0: cost 1 inf + 0 393.678 * * [simplify]: Extracting #1: cost 3 inf + 0 393.678 * * [simplify]: Extracting #2: cost 6 inf + 0 393.679 * * [simplify]: Extracting #3: cost 54 inf + 0 393.679 * * [simplify]: Extracting #4: cost 119 inf + 0 393.679 * * [simplify]: Extracting #5: cost 169 inf + 249 393.680 * * [simplify]: Extracting #6: cost 240 inf + 2166 393.682 * * [simplify]: Extracting #7: cost 228 inf + 5448 393.686 * * [simplify]: Extracting #8: cost 136 inf + 23796 393.696 * * [simplify]: Extracting #9: cost 80 inf + 45741 393.713 * * [simplify]: Extracting #10: cost 18 inf + 89787 393.735 * * [simplify]: Extracting #11: cost 0 inf + 105098 393.757 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))) 393.757 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 393.757 * * * * [progress]: [ 1230 / 5906 ] simplifiying candidate # 393.758 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 393.758 * * [simplify]: iters left: 6 (51 enodes) 393.781 * * [simplify]: iters left: 5 (257 enodes) 393.867 * * [simplify]: Extracting #0: cost 1 inf + 0 393.867 * * [simplify]: Extracting #1: cost 3 inf + 0 393.867 * * [simplify]: Extracting #2: cost 10 inf + 0 393.867 * * [simplify]: Extracting #3: cost 74 inf + 0 393.868 * * [simplify]: Extracting #4: cost 136 inf + 42 393.869 * * [simplify]: Extracting #5: cost 193 inf + 249 393.871 * * [simplify]: Extracting #6: cost 262 inf + 3977 393.875 * * [simplify]: Extracting #7: cost 244 inf + 8390 393.882 * * [simplify]: Extracting #8: cost 171 inf + 22452 393.897 * * [simplify]: Extracting #9: cost 105 inf + 45206 393.926 * * [simplify]: Extracting #10: cost 51 inf + 73680 393.966 * * [simplify]: Extracting #11: cost 6 inf + 110239 394.014 * * [simplify]: Extracting #12: cost 1 inf + 117964 394.063 * * [simplify]: Extracting #13: cost 0 inf + 119949 394.098 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 394.098 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 394.099 * * * * [progress]: [ 1231 / 5906 ] simplifiying candidate # 394.099 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 394.099 * * [simplify]: iters left: 6 (46 enodes) 394.120 * * [simplify]: iters left: 5 (229 enodes) 394.213 * * [simplify]: Extracting #0: cost 1 inf + 0 394.213 * * [simplify]: Extracting #1: cost 3 inf + 0 394.214 * * [simplify]: Extracting #2: cost 10 inf + 0 394.214 * * [simplify]: Extracting #3: cost 66 inf + 0 394.214 * * [simplify]: Extracting #4: cost 117 inf + 44 394.215 * * [simplify]: Extracting #5: cost 162 inf + 496 394.217 * * [simplify]: Extracting #6: cost 235 inf + 2770 394.220 * * [simplify]: Extracting #7: cost 231 inf + 4677 394.227 * * [simplify]: Extracting #8: cost 159 inf + 17906 394.238 * * [simplify]: Extracting #9: cost 108 inf + 33836 394.263 * * [simplify]: Extracting #10: cost 49 inf + 61919 394.298 * * [simplify]: Extracting #11: cost 8 inf + 92548 394.335 * * [simplify]: Extracting #12: cost 1 inf + 100203 394.375 * * [simplify]: Extracting #13: cost 0 inf + 101988 394.404 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ phi1 phi2))))) 394.404 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 394.405 * * * * [progress]: [ 1232 / 5906 ] simplifiying candidate # 394.405 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 394.406 * * [simplify]: iters left: 6 (51 enodes) 394.420 * * [simplify]: iters left: 5 (257 enodes) 394.506 * * [simplify]: Extracting #0: cost 1 inf + 0 394.506 * * [simplify]: Extracting #1: cost 3 inf + 0 394.506 * * [simplify]: Extracting #2: cost 10 inf + 0 394.506 * * [simplify]: Extracting #3: cost 74 inf + 0 394.507 * * [simplify]: Extracting #4: cost 136 inf + 42 394.507 * * [simplify]: Extracting #5: cost 193 inf + 248 394.508 * * [simplify]: Extracting #6: cost 265 inf + 3050 394.510 * * [simplify]: Extracting #7: cost 240 inf + 9238 394.517 * * [simplify]: Extracting #8: cost 164 inf + 24426 394.535 * * [simplify]: Extracting #9: cost 109 inf + 43426 394.560 * * [simplify]: Extracting #10: cost 56 inf + 71355 394.592 * * [simplify]: Extracting #11: cost 6 inf + 112079 394.618 * * [simplify]: Extracting #12: cost 1 inf + 119964 394.649 * * [simplify]: Extracting #13: cost 0 inf + 121989 394.675 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 394.676 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 394.676 * * * * [progress]: [ 1233 / 5906 ] simplifiying candidate # 394.676 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 394.677 * * [simplify]: iters left: 6 (46 enodes) 394.697 * * [simplify]: iters left: 5 (229 enodes) 394.761 * * [simplify]: Extracting #0: cost 1 inf + 0 394.761 * * [simplify]: Extracting #1: cost 3 inf + 0 394.761 * * [simplify]: Extracting #2: cost 10 inf + 0 394.761 * * [simplify]: Extracting #3: cost 65 inf + 0 394.761 * * [simplify]: Extracting #4: cost 117 inf + 44 394.764 * * [simplify]: Extracting #5: cost 159 inf + 782 394.765 * * [simplify]: Extracting #6: cost 235 inf + 2770 394.767 * * [simplify]: Extracting #7: cost 229 inf + 5080 394.770 * * [simplify]: Extracting #8: cost 159 inf + 17746 394.776 * * [simplify]: Extracting #9: cost 104 inf + 37787 394.788 * * [simplify]: Extracting #10: cost 44 inf + 65796 394.823 * * [simplify]: Extracting #11: cost 7 inf + 93613 394.862 * * [simplify]: Extracting #12: cost 1 inf + 100443 394.884 * * [simplify]: Extracting #13: cost 0 inf + 102228 394.919 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ phi1 phi2))))) 394.919 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 394.920 * * * * [progress]: [ 1234 / 5906 ] simplifiying candidate # 394.921 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 394.922 * * [simplify]: iters left: 6 (51 enodes) 394.937 * * [simplify]: iters left: 5 (250 enodes) 395.016 * * [simplify]: Extracting #0: cost 1 inf + 0 395.016 * * [simplify]: Extracting #1: cost 3 inf + 0 395.016 * * [simplify]: Extracting #2: cost 6 inf + 0 395.016 * * [simplify]: Extracting #3: cost 50 inf + 0 395.017 * * [simplify]: Extracting #4: cost 116 inf + 0 395.017 * * [simplify]: Extracting #5: cost 185 inf + 0 395.018 * * [simplify]: Extracting #6: cost 265 inf + 722 395.019 * * [simplify]: Extracting #7: cost 216 inf + 8505 395.024 * * [simplify]: Extracting #8: cost 115 inf + 30790 395.036 * * [simplify]: Extracting #9: cost 66 inf + 48053 395.053 * * [simplify]: Extracting #10: cost 42 inf + 64294 395.071 * * [simplify]: Extracting #11: cost 6 inf + 97043 395.092 * * [simplify]: Extracting #12: cost 1 inf + 103408 395.131 * * [simplify]: Extracting #13: cost 0 inf + 105153 395.154 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 395.154 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 395.155 * * * * [progress]: [ 1235 / 5906 ] simplifiying candidate # 395.155 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 395.155 * * [simplify]: iters left: 6 (52 enodes) 395.169 * * [simplify]: iters left: 5 (259 enodes) 395.246 * * [simplify]: Extracting #0: cost 1 inf + 0 395.246 * * [simplify]: Extracting #1: cost 3 inf + 0 395.246 * * [simplify]: Extracting #2: cost 6 inf + 0 395.246 * * [simplify]: Extracting #3: cost 53 inf + 0 395.247 * * [simplify]: Extracting #4: cost 138 inf + 0 395.248 * * [simplify]: Extracting #5: cost 196 inf + 207 395.250 * * [simplify]: Extracting #6: cost 243 inf + 3955 395.254 * * [simplify]: Extracting #7: cost 210 inf + 10799 395.259 * * [simplify]: Extracting #8: cost 131 inf + 28187 395.269 * * [simplify]: Extracting #9: cost 50 inf + 64201 395.288 * * [simplify]: Extracting #10: cost 11 inf + 97542 395.315 * * [simplify]: Extracting #11: cost 0 inf + 108065 395.342 * * [simplify]: Extracting #12: cost 0 inf + 107385 395.369 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ phi1 phi2)))) 395.369 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ phi1 phi2)))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 395.370 * * * * [progress]: [ 1236 / 5906 ] simplifiying candidate # 395.370 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 395.371 * * [simplify]: iters left: 6 (52 enodes) 395.384 * * [simplify]: iters left: 5 (259 enodes) 395.450 * * [simplify]: Extracting #0: cost 1 inf + 0 395.450 * * [simplify]: Extracting #1: cost 3 inf + 0 395.450 * * [simplify]: Extracting #2: cost 6 inf + 0 395.450 * * [simplify]: Extracting #3: cost 55 inf + 0 395.450 * * [simplify]: Extracting #4: cost 136 inf + 0 395.451 * * [simplify]: Extracting #5: cost 193 inf + 85 395.454 * * [simplify]: Extracting #6: cost 242 inf + 4072 395.458 * * [simplify]: Extracting #7: cost 205 inf + 10880 395.466 * * [simplify]: Extracting #8: cost 135 inf + 26247 395.474 * * [simplify]: Extracting #9: cost 75 inf + 44925 395.486 * * [simplify]: Extracting #10: cost 35 inf + 74036 395.518 * * [simplify]: Extracting #11: cost 3 inf + 100502 395.552 * * [simplify]: Extracting #12: cost 0 inf + 105377 395.578 * * [simplify]: Extracting #13: cost 0 inf + 105257 395.601 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) 395.601 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 395.601 * * * * [progress]: [ 1237 / 5906 ] simplifiying candidate # 395.602 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 395.602 * * [simplify]: iters left: 6 (46 enodes) 395.614 * * [simplify]: iters left: 5 (225 enodes) 395.671 * * [simplify]: Extracting #0: cost 1 inf + 0 395.671 * * [simplify]: Extracting #1: cost 3 inf + 0 395.671 * * [simplify]: Extracting #2: cost 6 inf + 0 395.672 * * [simplify]: Extracting #3: cost 47 inf + 0 395.672 * * [simplify]: Extracting #4: cost 104 inf + 0 395.672 * * [simplify]: Extracting #5: cost 141 inf + 127 395.673 * * [simplify]: Extracting #6: cost 198 inf + 2812 395.674 * * [simplify]: Extracting #7: cost 193 inf + 4721 395.677 * * [simplify]: Extracting #8: cost 142 inf + 11384 395.685 * * [simplify]: Extracting #9: cost 105 inf + 22123 395.697 * * [simplify]: Extracting #10: cost 48 inf + 45746 395.707 * * [simplify]: Extracting #11: cost 27 inf + 59744 395.723 * * [simplify]: Extracting #12: cost 1 inf + 83994 395.751 * * [simplify]: Extracting #13: cost 0 inf + 84859 395.785 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2)))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 395.785 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2)))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 395.785 * * * * [progress]: [ 1238 / 5906 ] simplifiying candidate # 395.786 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 395.786 * * [simplify]: iters left: 6 (51 enodes) 395.799 * * [simplify]: iters left: 5 (252 enodes) 395.884 * * [simplify]: Extracting #0: cost 1 inf + 0 395.884 * * [simplify]: Extracting #1: cost 3 inf + 0 395.884 * * [simplify]: Extracting #2: cost 10 inf + 0 395.884 * * [simplify]: Extracting #3: cost 63 inf + 0 395.885 * * [simplify]: Extracting #4: cost 118 inf + 42 395.885 * * [simplify]: Extracting #5: cost 161 inf + 249 395.886 * * [simplify]: Extracting #6: cost 227 inf + 1881 395.887 * * [simplify]: Extracting #7: cost 214 inf + 4726 395.891 * * [simplify]: Extracting #8: cost 127 inf + 23747 395.900 * * [simplify]: Extracting #9: cost 55 inf + 53060 395.918 * * [simplify]: Extracting #10: cost 27 inf + 70640 395.955 * * [simplify]: Extracting #11: cost 3 inf + 93000 395.982 * * [simplify]: Extracting #12: cost 1 inf + 96450 396.012 * * [simplify]: Extracting #13: cost 0 inf + 98195 396.041 * [simplify]: Simplified to (sqrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 396.041 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 396.041 * * * * [progress]: [ 1239 / 5906 ] simplifiying candidate # 396.041 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 396.042 * * [simplify]: iters left: 6 (46 enodes) 396.053 * * [simplify]: iters left: 5 (224 enodes) 396.122 * * [simplify]: Extracting #0: cost 1 inf + 0 396.122 * * [simplify]: Extracting #1: cost 3 inf + 0 396.122 * * [simplify]: Extracting #2: cost 10 inf + 0 396.122 * * [simplify]: Extracting #3: cost 58 inf + 0 396.122 * * [simplify]: Extracting #4: cost 104 inf + 44 396.123 * * [simplify]: Extracting #5: cost 130 inf + 904 396.125 * * [simplify]: Extracting #6: cost 196 inf + 2932 396.128 * * [simplify]: Extracting #7: cost 190 inf + 5004 396.133 * * [simplify]: Extracting #8: cost 140 inf + 12186 396.142 * * [simplify]: Extracting #9: cost 90 inf + 30908 396.151 * * [simplify]: Extracting #10: cost 36 inf + 54841 396.166 * * [simplify]: Extracting #11: cost 9 inf + 75968 396.185 * * [simplify]: Extracting #12: cost 0 inf + 82873 396.219 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (+ phi1 phi2)))) 396.219 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (+ phi1 phi2)))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 396.221 * * * * [progress]: [ 1240 / 5906 ] simplifiying candidate # 396.221 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 396.222 * * [simplify]: iters left: 6 (51 enodes) 396.252 * * [simplify]: iters left: 5 (252 enodes) 396.328 * * [simplify]: Extracting #0: cost 1 inf + 0 396.328 * * [simplify]: Extracting #1: cost 3 inf + 0 396.328 * * [simplify]: Extracting #2: cost 10 inf + 0 396.329 * * [simplify]: Extracting #3: cost 63 inf + 0 396.329 * * [simplify]: Extracting #4: cost 118 inf + 42 396.330 * * [simplify]: Extracting #5: cost 161 inf + 248 396.332 * * [simplify]: Extracting #6: cost 222 inf + 3171 396.336 * * [simplify]: Extracting #7: cost 208 inf + 6017 396.343 * * [simplify]: Extracting #8: cost 127 inf + 24010 396.366 * * [simplify]: Extracting #9: cost 55 inf + 53001 396.390 * * [simplify]: Extracting #10: cost 29 inf + 69790 396.414 * * [simplify]: Extracting #11: cost 4 inf + 92135 396.435 * * [simplify]: Extracting #12: cost 1 inf + 97250 396.456 * * [simplify]: Extracting #13: cost 0 inf + 98995 396.495 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 396.495 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 396.496 * * * * [progress]: [ 1241 / 5906 ] simplifiying candidate # 396.497 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 396.497 * * [simplify]: iters left: 6 (46 enodes) 396.511 * * [simplify]: iters left: 5 (224 enodes) 396.576 * * [simplify]: Extracting #0: cost 1 inf + 0 396.576 * * [simplify]: Extracting #1: cost 3 inf + 0 396.577 * * [simplify]: Extracting #2: cost 10 inf + 0 396.577 * * [simplify]: Extracting #3: cost 57 inf + 0 396.577 * * [simplify]: Extracting #4: cost 104 inf + 44 396.578 * * [simplify]: Extracting #5: cost 129 inf + 1026 396.580 * * [simplify]: Extracting #6: cost 196 inf + 2932 396.583 * * [simplify]: Extracting #7: cost 193 inf + 4519 396.587 * * [simplify]: Extracting #8: cost 139 inf + 12307 396.597 * * [simplify]: Extracting #9: cost 92 inf + 30336 396.620 * * [simplify]: Extracting #10: cost 36 inf + 54668 396.633 * * [simplify]: Extracting #11: cost 23 inf + 60938 396.649 * * [simplify]: Extracting #12: cost 1 inf + 82368 396.675 * * [simplify]: Extracting #13: cost 0 inf + 83193 396.709 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 396.710 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 396.711 * * * * [progress]: [ 1242 / 5906 ] simplifiying candidate # 396.711 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 396.712 * * [simplify]: iters left: 6 (47 enodes) 396.726 * * [simplify]: iters left: 5 (229 enodes) 396.792 * * [simplify]: Extracting #0: cost 1 inf + 0 396.792 * * [simplify]: Extracting #1: cost 3 inf + 0 396.792 * * [simplify]: Extracting #2: cost 6 inf + 0 396.792 * * [simplify]: Extracting #3: cost 48 inf + 0 396.793 * * [simplify]: Extracting #4: cost 112 inf + 0 396.793 * * [simplify]: Extracting #5: cost 184 inf + 0 396.794 * * [simplify]: Extracting #6: cost 248 inf + 462 396.795 * * [simplify]: Extracting #7: cost 218 inf + 4972 396.798 * * [simplify]: Extracting #8: cost 145 inf + 17928 396.803 * * [simplify]: Extracting #9: cost 92 inf + 33928 396.816 * * [simplify]: Extracting #10: cost 45 inf + 56856 396.840 * * [simplify]: Extracting #11: cost 6 inf + 93109 396.861 * * [simplify]: Extracting #12: cost 0 inf + 101019 396.883 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 396.883 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 396.884 * * * * [progress]: [ 1243 / 5906 ] simplifiying candidate # 396.884 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 396.885 * * [simplify]: iters left: 6 (48 enodes) 396.910 * * [simplify]: iters left: 5 (238 enodes) 396.975 * * [simplify]: Extracting #0: cost 1 inf + 0 396.975 * * [simplify]: Extracting #1: cost 3 inf + 0 396.975 * * [simplify]: Extracting #2: cost 6 inf + 0 396.975 * * [simplify]: Extracting #3: cost 52 inf + 0 396.975 * * [simplify]: Extracting #4: cost 135 inf + 0 396.976 * * [simplify]: Extracting #5: cost 194 inf + 290 396.977 * * [simplify]: Extracting #6: cost 212 inf + 7667 396.980 * * [simplify]: Extracting #7: cost 189 inf + 12699 396.983 * * [simplify]: Extracting #8: cost 146 inf + 19017 396.991 * * [simplify]: Extracting #9: cost 77 inf + 45493 397.018 * * [simplify]: Extracting #10: cost 11 inf + 90163 397.058 * * [simplify]: Extracting #11: cost 0 inf + 101556 397.102 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) 397.102 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 397.103 * * * * [progress]: [ 1244 / 5906 ] simplifiying candidate # 397.104 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 397.105 * * [simplify]: iters left: 6 (48 enodes) 397.130 * * [simplify]: iters left: 5 (238 enodes) 397.216 * * [simplify]: Extracting #0: cost 1 inf + 0 397.216 * * [simplify]: Extracting #1: cost 3 inf + 0 397.216 * * [simplify]: Extracting #2: cost 6 inf + 0 397.216 * * [simplify]: Extracting #3: cost 54 inf + 0 397.216 * * [simplify]: Extracting #4: cost 133 inf + 0 397.217 * * [simplify]: Extracting #5: cost 189 inf + 332 397.218 * * [simplify]: Extracting #6: cost 217 inf + 5810 397.220 * * [simplify]: Extracting #7: cost 193 inf + 10833 397.224 * * [simplify]: Extracting #8: cost 139 inf + 20516 397.238 * * [simplify]: Extracting #9: cost 79 inf + 43457 397.270 * * [simplify]: Extracting #10: cost 13 inf + 88484 397.309 * * [simplify]: Extracting #11: cost 0 inf + 100548 397.332 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (+ phi1 phi2) (- phi1 phi2)))))) 397.332 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (+ phi1 phi2) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 397.332 * * * * [progress]: [ 1245 / 5906 ] simplifiying candidate # 397.333 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 397.333 * * [simplify]: iters left: 6 (42 enodes) 397.347 * * [simplify]: iters left: 5 (203 enodes) 397.407 * * [simplify]: Extracting #0: cost 1 inf + 0 397.407 * * [simplify]: Extracting #1: cost 3 inf + 0 397.407 * * [simplify]: Extracting #2: cost 6 inf + 0 397.407 * * [simplify]: Extracting #3: cost 46 inf + 0 397.408 * * [simplify]: Extracting #4: cost 101 inf + 0 397.408 * * [simplify]: Extracting #5: cost 139 inf + 168 397.409 * * [simplify]: Extracting #6: cost 192 inf + 989 397.412 * * [simplify]: Extracting #7: cost 174 inf + 4805 397.418 * * [simplify]: Extracting #8: cost 108 inf + 17656 397.433 * * [simplify]: Extracting #9: cost 55 inf + 41054 397.463 * * [simplify]: Extracting #10: cost 9 inf + 72986 397.484 * * [simplify]: Extracting #11: cost 0 inf + 80687 397.511 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))))) 397.511 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 397.512 * * * * [progress]: [ 1246 / 5906 ] simplifiying candidate # 397.512 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 397.513 * * [simplify]: iters left: 6 (47 enodes) 397.527 * * [simplify]: iters left: 5 (231 enodes) 397.582 * * [simplify]: Extracting #0: cost 1 inf + 0 397.582 * * [simplify]: Extracting #1: cost 3 inf + 0 397.582 * * [simplify]: Extracting #2: cost 10 inf + 0 397.583 * * [simplify]: Extracting #3: cost 62 inf + 0 397.583 * * [simplify]: Extracting #4: cost 115 inf + 42 397.584 * * [simplify]: Extracting #5: cost 160 inf + 248 397.586 * * [simplify]: Extracting #6: cost 207 inf + 2808 397.589 * * [simplify]: Extracting #7: cost 192 inf + 6736 397.595 * * [simplify]: Extracting #8: cost 128 inf + 19185 397.608 * * [simplify]: Extracting #9: cost 67 inf + 41196 397.624 * * [simplify]: Extracting #10: cost 26 inf + 72923 397.645 * * [simplify]: Extracting #11: cost 8 inf + 89477 397.683 * * [simplify]: Extracting #12: cost 0 inf + 94103 397.723 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) 397.723 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 397.724 * * * * [progress]: [ 1247 / 5906 ] simplifiying candidate # 397.725 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 397.725 * * [simplify]: iters left: 6 (42 enodes) 397.751 * * [simplify]: iters left: 5 (204 enodes) 397.799 * * [simplify]: Extracting #0: cost 1 inf + 0 397.799 * * [simplify]: Extracting #1: cost 3 inf + 0 397.799 * * [simplify]: Extracting #2: cost 10 inf + 0 397.799 * * [simplify]: Extracting #3: cost 54 inf + 0 397.799 * * [simplify]: Extracting #4: cost 95 inf + 86 397.800 * * [simplify]: Extracting #5: cost 123 inf + 1148 397.801 * * [simplify]: Extracting #6: cost 175 inf + 2932 397.802 * * [simplify]: Extracting #7: cost 171 inf + 4561 397.806 * * [simplify]: Extracting #8: cost 102 inf + 18864 397.813 * * [simplify]: Extracting #9: cost 52 inf + 39910 397.828 * * [simplify]: Extracting #10: cost 8 inf + 66782 397.855 * * [simplify]: Extracting #11: cost 1 inf + 74557 397.874 * * [simplify]: Extracting #12: cost 0 inf + 76102 397.890 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 397.890 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 397.891 * * * * [progress]: [ 1248 / 5906 ] simplifiying candidate # 397.891 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 397.891 * * [simplify]: iters left: 6 (47 enodes) 397.910 * * [simplify]: iters left: 5 (231 enodes) 398.005 * * [simplify]: Extracting #0: cost 1 inf + 0 398.006 * * [simplify]: Extracting #1: cost 3 inf + 0 398.006 * * [simplify]: Extracting #2: cost 10 inf + 0 398.006 * * [simplify]: Extracting #3: cost 62 inf + 0 398.006 * * [simplify]: Extracting #4: cost 115 inf + 42 398.008 * * [simplify]: Extracting #5: cost 158 inf + 331 398.010 * * [simplify]: Extracting #6: cost 200 inf + 4061 398.013 * * [simplify]: Extracting #7: cost 192 inf + 6736 398.019 * * [simplify]: Extracting #8: cost 127 inf + 19186 398.032 * * [simplify]: Extracting #9: cost 68 inf + 40411 398.046 * * [simplify]: Extracting #10: cost 26 inf + 73243 398.066 * * [simplify]: Extracting #11: cost 8 inf + 89797 398.090 * * [simplify]: Extracting #12: cost 0 inf + 95063 398.122 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))))) 398.122 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 398.123 * * * * [progress]: [ 1249 / 5906 ] simplifiying candidate # 398.123 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 398.124 * * [simplify]: iters left: 6 (42 enodes) 398.137 * * [simplify]: iters left: 5 (204 enodes) 398.196 * * [simplify]: Extracting #0: cost 1 inf + 0 398.196 * * [simplify]: Extracting #1: cost 3 inf + 0 398.196 * * [simplify]: Extracting #2: cost 10 inf + 0 398.196 * * [simplify]: Extracting #3: cost 53 inf + 0 398.197 * * [simplify]: Extracting #4: cost 95 inf + 86 398.198 * * [simplify]: Extracting #5: cost 123 inf + 1228 398.203 * * [simplify]: Extracting #6: cost 175 inf + 2932 398.206 * * [simplify]: Extracting #7: cost 171 inf + 4520 398.213 * * [simplify]: Extracting #8: cost 104 inf + 18357 398.227 * * [simplify]: Extracting #9: cost 47 inf + 42437 398.250 * * [simplify]: Extracting #10: cost 8 inf + 67102 398.279 * * [simplify]: Extracting #11: cost 1 inf + 74877 398.309 * * [simplify]: Extracting #12: cost 0 inf + 76422 398.333 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (+ phi1 phi2))) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 398.333 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (+ phi1 phi2))) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 398.333 * * * * [progress]: [ 1250 / 5906 ] simplifiying candidate # 398.333 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 398.334 * * [simplify]: iters left: 6 (47 enodes) 398.346 * * [simplify]: iters left: 5 (233 enodes) 398.411 * * [simplify]: Extracting #0: cost 1 inf + 0 398.411 * * [simplify]: Extracting #1: cost 3 inf + 0 398.411 * * [simplify]: Extracting #2: cost 6 inf + 0 398.412 * * [simplify]: Extracting #3: cost 54 inf + 0 398.412 * * [simplify]: Extracting #4: cost 120 inf + 0 398.413 * * [simplify]: Extracting #5: cost 192 inf + 0 398.414 * * [simplify]: Extracting #6: cost 257 inf + 168 398.417 * * [simplify]: Extracting #7: cost 221 inf + 5890 398.425 * * [simplify]: Extracting #8: cost 119 inf + 28037 398.439 * * [simplify]: Extracting #9: cost 43 inf + 61569 398.459 * * [simplify]: Extracting #10: cost 8 inf + 91693 398.495 * * [simplify]: Extracting #11: cost 0 inf + 101933 398.515 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 398.515 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 398.516 * * * * [progress]: [ 1251 / 5906 ] simplifiying candidate # 398.516 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 398.516 * * [simplify]: iters left: 6 (48 enodes) 398.529 * * [simplify]: iters left: 5 (242 enodes) 398.612 * * [simplify]: Extracting #0: cost 1 inf + 0 398.612 * * [simplify]: Extracting #1: cost 3 inf + 0 398.612 * * [simplify]: Extracting #2: cost 6 inf + 0 398.612 * * [simplify]: Extracting #3: cost 58 inf + 0 398.612 * * [simplify]: Extracting #4: cost 143 inf + 0 398.613 * * [simplify]: Extracting #5: cost 201 inf + 412 398.614 * * [simplify]: Extracting #6: cost 229 inf + 5250 398.616 * * [simplify]: Extracting #7: cost 207 inf + 10399 398.620 * * [simplify]: Extracting #8: cost 153 inf + 19712 398.625 * * [simplify]: Extracting #9: cost 97 inf + 36810 398.652 * * [simplify]: Extracting #10: cost 8 inf + 95451 398.692 * * [simplify]: Extracting #11: cost 0 inf + 103550 398.721 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 398.721 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 398.721 * * * * [progress]: [ 1252 / 5906 ] simplifiying candidate # 398.722 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 398.722 * * [simplify]: iters left: 6 (48 enodes) 398.735 * * [simplify]: iters left: 5 (242 enodes) 398.841 * * [simplify]: Extracting #0: cost 1 inf + 0 398.841 * * [simplify]: Extracting #1: cost 3 inf + 0 398.841 * * [simplify]: Extracting #2: cost 6 inf + 0 398.842 * * [simplify]: Extracting #3: cost 60 inf + 0 398.842 * * [simplify]: Extracting #4: cost 141 inf + 0 398.843 * * [simplify]: Extracting #5: cost 198 inf + 210 398.846 * * [simplify]: Extracting #6: cost 229 inf + 4922 398.851 * * [simplify]: Extracting #7: cost 204 inf + 11028 398.858 * * [simplify]: Extracting #8: cost 147 inf + 20808 398.868 * * [simplify]: Extracting #9: cost 90 inf + 40781 398.884 * * [simplify]: Extracting #10: cost 12 inf + 91503 398.915 * * [simplify]: Extracting #11: cost 0 inf + 102822 398.940 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))))) 398.940 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 398.941 * * * * [progress]: [ 1253 / 5906 ] simplifiying candidate # 398.941 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 398.942 * * [simplify]: iters left: 6 (42 enodes) 398.958 * * [simplify]: iters left: 5 (206 enodes) 399.020 * * [simplify]: Extracting #0: cost 1 inf + 0 399.020 * * [simplify]: Extracting #1: cost 3 inf + 0 399.020 * * [simplify]: Extracting #2: cost 6 inf + 0 399.021 * * [simplify]: Extracting #3: cost 52 inf + 0 399.021 * * [simplify]: Extracting #4: cost 109 inf + 0 399.022 * * [simplify]: Extracting #5: cost 149 inf + 86 399.023 * * [simplify]: Extracting #6: cost 200 inf + 991 399.026 * * [simplify]: Extracting #7: cost 185 inf + 4360 399.032 * * [simplify]: Extracting #8: cost 116 inf + 18201 399.044 * * [simplify]: Extracting #9: cost 43 inf + 50403 399.064 * * [simplify]: Extracting #10: cost 1 inf + 82069 399.091 * * [simplify]: Extracting #11: cost 0 inf + 82281 399.123 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 399.123 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 399.124 * * * * [progress]: [ 1254 / 5906 ] simplifiying candidate # 399.124 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 399.124 * * [simplify]: iters left: 6 (47 enodes) 399.137 * * [simplify]: iters left: 5 (234 enodes) 399.193 * * [simplify]: Extracting #0: cost 1 inf + 0 399.193 * * [simplify]: Extracting #1: cost 3 inf + 0 399.193 * * [simplify]: Extracting #2: cost 10 inf + 0 399.193 * * [simplify]: Extracting #3: cost 72 inf + 0 399.193 * * [simplify]: Extracting #4: cost 126 inf + 42 399.194 * * [simplify]: Extracting #5: cost 170 inf + 290 399.195 * * [simplify]: Extracting #6: cost 216 inf + 3172 399.196 * * [simplify]: Extracting #7: cost 201 inf + 6658 399.199 * * [simplify]: Extracting #8: cost 152 inf + 15063 399.203 * * [simplify]: Extracting #9: cost 108 inf + 27045 399.212 * * [simplify]: Extracting #10: cost 42 inf + 58817 399.243 * * [simplify]: Extracting #11: cost 6 inf + 88542 399.283 * * [simplify]: Extracting #12: cost 0 inf + 97332 399.321 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) 399.322 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 399.322 * * * * [progress]: [ 1255 / 5906 ] simplifiying candidate # 399.323 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 399.323 * * [simplify]: iters left: 6 (42 enodes) 399.335 * * [simplify]: iters left: 5 (206 enodes) 399.383 * * [simplify]: Extracting #0: cost 1 inf + 0 399.383 * * [simplify]: Extracting #1: cost 3 inf + 0 399.383 * * [simplify]: Extracting #2: cost 10 inf + 0 399.384 * * [simplify]: Extracting #3: cost 64 inf + 0 399.384 * * [simplify]: Extracting #4: cost 105 inf + 208 399.385 * * [simplify]: Extracting #5: cost 129 inf + 2038 399.386 * * [simplify]: Extracting #6: cost 186 inf + 2932 399.387 * * [simplify]: Extracting #7: cost 178 inf + 5168 399.392 * * [simplify]: Extracting #8: cost 113 inf + 18277 399.410 * * [simplify]: Extracting #9: cost 58 inf + 43711 399.426 * * [simplify]: Extracting #10: cost 2 inf + 78584 399.450 * * [simplify]: Extracting #11: cost 0 inf + 79331 399.476 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) 399.476 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 399.476 * * * * [progress]: [ 1256 / 5906 ] simplifiying candidate # 399.477 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 399.477 * * [simplify]: iters left: 6 (47 enodes) 399.489 * * [simplify]: iters left: 5 (234 enodes) 399.575 * * [simplify]: Extracting #0: cost 1 inf + 0 399.575 * * [simplify]: Extracting #1: cost 3 inf + 0 399.575 * * [simplify]: Extracting #2: cost 10 inf + 0 399.575 * * [simplify]: Extracting #3: cost 72 inf + 0 399.575 * * [simplify]: Extracting #4: cost 126 inf + 42 399.576 * * [simplify]: Extracting #5: cost 168 inf + 494 399.577 * * [simplify]: Extracting #6: cost 210 inf + 4424 399.579 * * [simplify]: Extracting #7: cost 201 inf + 6658 399.584 * * [simplify]: Extracting #8: cost 136 inf + 20206 399.599 * * [simplify]: Extracting #9: cost 59 inf + 48798 399.630 * * [simplify]: Extracting #10: cost 15 inf + 83633 399.658 * * [simplify]: Extracting #11: cost 0 inf + 98292 399.688 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) 399.688 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 399.688 * * * * [progress]: [ 1257 / 5906 ] simplifiying candidate # 399.689 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 399.689 * * [simplify]: iters left: 6 (42 enodes) 399.700 * * [simplify]: iters left: 5 (206 enodes) 399.758 * * [simplify]: Extracting #0: cost 1 inf + 0 399.758 * * [simplify]: Extracting #1: cost 3 inf + 0 399.758 * * [simplify]: Extracting #2: cost 10 inf + 0 399.758 * * [simplify]: Extracting #3: cost 63 inf + 0 399.758 * * [simplify]: Extracting #4: cost 106 inf + 86 399.759 * * [simplify]: Extracting #5: cost 131 inf + 1634 399.760 * * [simplify]: Extracting #6: cost 186 inf + 2932 399.761 * * [simplify]: Extracting #7: cost 181 inf + 4681 399.767 * * [simplify]: Extracting #8: cost 112 inf + 18398 399.775 * * [simplify]: Extracting #9: cost 56 inf + 44767 399.802 * * [simplify]: Extracting #10: cost 2 inf + 78904 399.834 * * [simplify]: Extracting #11: cost 0 inf + 79731 399.867 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) 399.867 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 399.868 * * * * [progress]: [ 1258 / 5906 ] simplifiying candidate # 399.869 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 399.869 * * [simplify]: iters left: 6 (52 enodes) 399.895 * * [simplify]: iters left: 5 (254 enodes) 399.978 * * [simplify]: Extracting #0: cost 1 inf + 0 399.978 * * [simplify]: Extracting #1: cost 3 inf + 0 399.978 * * [simplify]: Extracting #2: cost 6 inf + 0 399.978 * * [simplify]: Extracting #3: cost 56 inf + 0 399.979 * * [simplify]: Extracting #4: cost 130 inf + 0 399.979 * * [simplify]: Extracting #5: cost 210 inf + 0 399.980 * * [simplify]: Extracting #6: cost 287 inf + 510 399.981 * * [simplify]: Extracting #7: cost 253 inf + 5684 399.984 * * [simplify]: Extracting #8: cost 168 inf + 23950 399.991 * * [simplify]: Extracting #9: cost 105 inf + 43223 400.014 * * [simplify]: Extracting #10: cost 54 inf + 66349 400.058 * * [simplify]: Extracting #11: cost 10 inf + 113489 400.108 * * [simplify]: Extracting #12: cost 0 inf + 126059 400.158 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))))) 400.158 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 400.159 * * * * [progress]: [ 1259 / 5906 ] simplifiying candidate # 400.159 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 400.159 * * [simplify]: iters left: 6 (53 enodes) 400.172 * * [simplify]: iters left: 5 (263 enodes) 400.240 * * [simplify]: Extracting #0: cost 1 inf + 0 400.240 * * [simplify]: Extracting #1: cost 3 inf + 0 400.240 * * [simplify]: Extracting #2: cost 6 inf + 0 400.241 * * [simplify]: Extracting #3: cost 60 inf + 0 400.241 * * [simplify]: Extracting #4: cost 153 inf + 0 400.242 * * [simplify]: Extracting #5: cost 223 inf + 86 400.244 * * [simplify]: Extracting #6: cost 266 inf + 4356 400.250 * * [simplify]: Extracting #7: cost 233 inf + 10870 400.259 * * [simplify]: Extracting #8: cost 151 inf + 29046 400.277 * * [simplify]: Extracting #9: cost 76 inf + 55115 400.304 * * [simplify]: Extracting #10: cost 52 inf + 71443 400.326 * * [simplify]: Extracting #11: cost 9 inf + 117451 400.366 * * [simplify]: Extracting #12: cost 0 inf + 128956 400.417 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 400.417 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 400.418 * * * * [progress]: [ 1260 / 5906 ] simplifiying candidate # 400.418 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 400.419 * * [simplify]: iters left: 6 (53 enodes) 400.446 * * [simplify]: iters left: 5 (263 enodes) 400.543 * * [simplify]: Extracting #0: cost 1 inf + 0 400.543 * * [simplify]: Extracting #1: cost 3 inf + 0 400.543 * * [simplify]: Extracting #2: cost 6 inf + 0 400.543 * * [simplify]: Extracting #3: cost 62 inf + 0 400.544 * * [simplify]: Extracting #4: cost 151 inf + 0 400.544 * * [simplify]: Extracting #5: cost 221 inf + 2 400.546 * * [simplify]: Extracting #6: cost 270 inf + 3661 400.548 * * [simplify]: Extracting #7: cost 232 inf + 10884 400.555 * * [simplify]: Extracting #8: cost 178 inf + 18977 400.568 * * [simplify]: Extracting #9: cost 113 inf + 41173 400.596 * * [simplify]: Extracting #10: cost 57 inf + 66350 400.635 * * [simplify]: Extracting #11: cost 12 inf + 111248 400.683 * * [simplify]: Extracting #12: cost 0 inf + 125228 400.727 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 400.727 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 400.727 * * * * [progress]: [ 1261 / 5906 ] simplifiying candidate # 400.727 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 400.728 * * [simplify]: iters left: 6 (47 enodes) 400.740 * * [simplify]: iters left: 5 (227 enodes) 400.795 * * [simplify]: Extracting #0: cost 1 inf + 0 400.795 * * [simplify]: Extracting #1: cost 3 inf + 0 400.795 * * [simplify]: Extracting #2: cost 6 inf + 0 400.795 * * [simplify]: Extracting #3: cost 54 inf + 0 400.795 * * [simplify]: Extracting #4: cost 119 inf + 0 400.796 * * [simplify]: Extracting #5: cost 168 inf + 44 400.798 * * [simplify]: Extracting #6: cost 227 inf + 1516 400.801 * * [simplify]: Extracting #7: cost 211 inf + 4321 400.806 * * [simplify]: Extracting #8: cost 160 inf + 11826 400.817 * * [simplify]: Extracting #9: cost 112 inf + 29923 400.838 * * [simplify]: Extracting #10: cost 46 inf + 58378 400.873 * * [simplify]: Extracting #11: cost 8 inf + 90887 400.899 * * [simplify]: Extracting #12: cost 1 inf + 99902 400.927 * * [simplify]: Extracting #13: cost 0 inf + 101807 400.952 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 400.952 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 400.953 * * * * [progress]: [ 1262 / 5906 ] simplifiying candidate # 400.953 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 400.953 * * [simplify]: iters left: 6 (52 enodes) 400.968 * * [simplify]: iters left: 5 (255 enodes) 401.065 * * [simplify]: Extracting #0: cost 1 inf + 0 401.065 * * [simplify]: Extracting #1: cost 3 inf + 0 401.065 * * [simplify]: Extracting #2: cost 10 inf + 0 401.065 * * [simplify]: Extracting #3: cost 74 inf + 0 401.066 * * [simplify]: Extracting #4: cost 137 inf + 1 401.067 * * [simplify]: Extracting #5: cost 190 inf + 207 401.068 * * [simplify]: Extracting #6: cost 250 inf + 2325 401.072 * * [simplify]: Extracting #7: cost 219 inf + 7837 401.077 * * [simplify]: Extracting #8: cost 164 inf + 19083 401.089 * * [simplify]: Extracting #9: cost 103 inf + 42696 401.110 * * [simplify]: Extracting #10: cost 42 inf + 72528 401.145 * * [simplify]: Extracting #11: cost 10 inf + 105128 401.177 * * [simplify]: Extracting #12: cost 1 inf + 116073 401.206 * * [simplify]: Extracting #13: cost 0 inf + 118138 401.244 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 401.244 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 401.244 * * * * [progress]: [ 1263 / 5906 ] simplifiying candidate # 401.246 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 401.246 * * [simplify]: iters left: 6 (47 enodes) 401.259 * * [simplify]: iters left: 5 (227 enodes) 401.327 * * [simplify]: Extracting #0: cost 1 inf + 0 401.327 * * [simplify]: Extracting #1: cost 3 inf + 0 401.327 * * [simplify]: Extracting #2: cost 10 inf + 0 401.327 * * [simplify]: Extracting #3: cost 66 inf + 0 401.327 * * [simplify]: Extracting #4: cost 117 inf + 44 401.328 * * [simplify]: Extracting #5: cost 152 inf + 1228 401.329 * * [simplify]: Extracting #6: cost 216 inf + 2932 401.330 * * [simplify]: Extracting #7: cost 208 inf + 4561 401.336 * * [simplify]: Extracting #8: cost 127 inf + 24617 401.357 * * [simplify]: Extracting #9: cost 41 inf + 63330 401.394 * * [simplify]: Extracting #10: cost 6 inf + 88947 401.426 * * [simplify]: Extracting #11: cost 1 inf + 95992 401.447 * * [simplify]: Extracting #12: cost 0 inf + 97817 401.487 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) 401.487 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 401.488 * * * * [progress]: [ 1264 / 5906 ] simplifiying candidate # 401.488 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 401.489 * * [simplify]: iters left: 6 (52 enodes) 401.506 * * [simplify]: iters left: 5 (255 enodes) 401.594 * * [simplify]: Extracting #0: cost 1 inf + 0 401.594 * * [simplify]: Extracting #1: cost 3 inf + 0 401.594 * * [simplify]: Extracting #2: cost 10 inf + 0 401.594 * * [simplify]: Extracting #3: cost 74 inf + 0 401.595 * * [simplify]: Extracting #4: cost 137 inf + 1 401.596 * * [simplify]: Extracting #5: cost 190 inf + 207 401.597 * * [simplify]: Extracting #6: cost 253 inf + 1639 401.601 * * [simplify]: Extracting #7: cost 225 inf + 6305 401.607 * * [simplify]: Extracting #8: cost 163 inf + 19195 401.621 * * [simplify]: Extracting #9: cost 105 inf + 42086 401.644 * * [simplify]: Extracting #10: cost 42 inf + 73488 401.666 * * [simplify]: Extracting #11: cost 10 inf + 106088 401.690 * * [simplify]: Extracting #12: cost 1 inf + 117033 401.734 * * [simplify]: Extracting #13: cost 0 inf + 119098 401.766 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 401.767 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 401.767 * * * * [progress]: [ 1265 / 5906 ] simplifiying candidate # 401.767 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 401.768 * * [simplify]: iters left: 6 (47 enodes) 401.788 * * [simplify]: iters left: 5 (227 enodes) 401.874 * * [simplify]: Extracting #0: cost 1 inf + 0 401.874 * * [simplify]: Extracting #1: cost 3 inf + 0 401.874 * * [simplify]: Extracting #2: cost 10 inf + 0 401.874 * * [simplify]: Extracting #3: cost 65 inf + 0 401.874 * * [simplify]: Extracting #4: cost 116 inf + 86 401.875 * * [simplify]: Extracting #5: cost 150 inf + 1472 401.877 * * [simplify]: Extracting #6: cost 216 inf + 2932 401.880 * * [simplify]: Extracting #7: cost 211 inf + 4196 401.888 * * [simplify]: Extracting #8: cost 122 inf + 26795 401.909 * * [simplify]: Extracting #9: cost 42 inf + 62766 401.943 * * [simplify]: Extracting #10: cost 6 inf + 89587 401.972 * * [simplify]: Extracting #11: cost 1 inf + 96552 401.992 * * [simplify]: Extracting #12: cost 0 inf + 98377 402.020 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) 402.021 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 402.021 * * * * [progress]: [ 1266 / 5906 ] simplifiying candidate # 402.021 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 402.022 * * [simplify]: iters left: 6 (52 enodes) 402.035 * * [simplify]: iters left: 5 (254 enodes) 402.114 * * [simplify]: Extracting #0: cost 1 inf + 0 402.115 * * [simplify]: Extracting #1: cost 3 inf + 0 402.115 * * [simplify]: Extracting #2: cost 6 inf + 0 402.115 * * [simplify]: Extracting #3: cost 56 inf + 0 402.115 * * [simplify]: Extracting #4: cost 130 inf + 0 402.115 * * [simplify]: Extracting #5: cost 210 inf + 0 402.116 * * [simplify]: Extracting #6: cost 281 inf + 595 402.118 * * [simplify]: Extracting #7: cost 218 inf + 11598 402.124 * * [simplify]: Extracting #8: cost 137 inf + 35507 402.141 * * [simplify]: Extracting #9: cost 93 inf + 51926 402.155 * * [simplify]: Extracting #10: cost 53 inf + 65917 402.179 * * [simplify]: Extracting #11: cost 10 inf + 111352 402.216 * * [simplify]: Extracting #12: cost 1 inf + 121337 402.240 * * [simplify]: Extracting #13: cost 0 inf + 123402 402.270 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 402.270 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 402.271 * * * * [progress]: [ 1267 / 5906 ] simplifiying candidate # 402.271 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 402.272 * * [simplify]: iters left: 6 (53 enodes) 402.296 * * [simplify]: iters left: 5 (263 enodes) 402.371 * * [simplify]: Extracting #0: cost 1 inf + 0 402.371 * * [simplify]: Extracting #1: cost 3 inf + 0 402.371 * * [simplify]: Extracting #2: cost 6 inf + 0 402.372 * * [simplify]: Extracting #3: cost 60 inf + 0 402.372 * * [simplify]: Extracting #4: cost 153 inf + 0 402.372 * * [simplify]: Extracting #5: cost 223 inf + 86 402.374 * * [simplify]: Extracting #6: cost 254 inf + 5016 402.380 * * [simplify]: Extracting #7: cost 183 inf + 21021 402.394 * * [simplify]: Extracting #8: cost 138 inf + 38917 402.405 * * [simplify]: Extracting #9: cost 94 inf + 56262 402.418 * * [simplify]: Extracting #10: cost 48 inf + 74059 402.447 * * [simplify]: Extracting #11: cost 5 inf + 118974 402.475 * * [simplify]: Extracting #12: cost 0 inf + 124539 402.505 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 402.505 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 402.506 * * * * [progress]: [ 1268 / 5906 ] simplifiying candidate # 402.506 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 402.506 * * [simplify]: iters left: 6 (53 enodes) 402.526 * * [simplify]: iters left: 5 (263 enodes) 402.640 * * [simplify]: Extracting #0: cost 1 inf + 0 402.640 * * [simplify]: Extracting #1: cost 3 inf + 0 402.640 * * [simplify]: Extracting #2: cost 6 inf + 0 402.641 * * [simplify]: Extracting #3: cost 62 inf + 0 402.641 * * [simplify]: Extracting #4: cost 151 inf + 0 402.642 * * [simplify]: Extracting #5: cost 220 inf + 44 402.645 * * [simplify]: Extracting #6: cost 251 inf + 5491 402.650 * * [simplify]: Extracting #7: cost 205 inf + 14002 402.654 * * [simplify]: Extracting #8: cost 153 inf + 27267 402.663 * * [simplify]: Extracting #9: cost 94 inf + 53482 402.676 * * [simplify]: Extracting #10: cost 46 inf + 74903 402.698 * * [simplify]: Extracting #11: cost 12 inf + 109471 402.744 * * [simplify]: Extracting #12: cost 0 inf + 123651 402.779 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 402.780 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 402.780 * * * * [progress]: [ 1269 / 5906 ] simplifiying candidate # 402.780 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 402.781 * * [simplify]: iters left: 6 (47 enodes) 402.792 * * [simplify]: iters left: 5 (227 enodes) 402.860 * * [simplify]: Extracting #0: cost 1 inf + 0 402.860 * * [simplify]: Extracting #1: cost 3 inf + 0 402.860 * * [simplify]: Extracting #2: cost 6 inf + 0 402.860 * * [simplify]: Extracting #3: cost 54 inf + 0 402.861 * * [simplify]: Extracting #4: cost 119 inf + 0 402.861 * * [simplify]: Extracting #5: cost 168 inf + 44 402.862 * * [simplify]: Extracting #6: cost 220 inf + 1644 402.864 * * [simplify]: Extracting #7: cost 174 inf + 9035 402.868 * * [simplify]: Extracting #8: cost 136 inf + 21293 402.875 * * [simplify]: Extracting #9: cost 88 inf + 41585 402.889 * * [simplify]: Extracting #10: cost 45 inf + 58251 402.919 * * [simplify]: Extracting #11: cost 7 inf + 89215 402.955 * * [simplify]: Extracting #12: cost 1 inf + 97325 402.993 * * [simplify]: Extracting #13: cost 0 inf + 99190 403.021 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) 403.021 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 403.022 * * * * [progress]: [ 1270 / 5906 ] simplifiying candidate # 403.022 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 403.022 * * [simplify]: iters left: 6 (52 enodes) 403.035 * * [simplify]: iters left: 5 (255 enodes) 403.134 * * [simplify]: Extracting #0: cost 1 inf + 0 403.134 * * [simplify]: Extracting #1: cost 3 inf + 0 403.134 * * [simplify]: Extracting #2: cost 10 inf + 0 403.134 * * [simplify]: Extracting #3: cost 74 inf + 0 403.134 * * [simplify]: Extracting #4: cost 137 inf + 1 403.135 * * [simplify]: Extracting #5: cost 190 inf + 207 403.136 * * [simplify]: Extracting #6: cost 234 inf + 3550 403.138 * * [simplify]: Extracting #7: cost 188 inf + 13589 403.143 * * [simplify]: Extracting #8: cost 141 inf + 27697 403.154 * * [simplify]: Extracting #9: cost 91 inf + 48720 403.170 * * [simplify]: Extracting #10: cost 47 inf + 67626 403.188 * * [simplify]: Extracting #11: cost 9 inf + 103616 403.230 * * [simplify]: Extracting #12: cost 0 inf + 114001 403.274 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 403.274 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 403.275 * * * * [progress]: [ 1271 / 5906 ] simplifiying candidate # 403.275 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 403.276 * * [simplify]: iters left: 6 (47 enodes) 403.293 * * [simplify]: iters left: 5 (227 enodes) 403.345 * * [simplify]: Extracting #0: cost 1 inf + 0 403.345 * * [simplify]: Extracting #1: cost 3 inf + 0 403.345 * * [simplify]: Extracting #2: cost 10 inf + 0 403.345 * * [simplify]: Extracting #3: cost 66 inf + 0 403.345 * * [simplify]: Extracting #4: cost 117 inf + 44 403.346 * * [simplify]: Extracting #5: cost 153 inf + 1186 403.347 * * [simplify]: Extracting #6: cost 210 inf + 3057 403.349 * * [simplify]: Extracting #7: cost 181 inf + 7539 403.355 * * [simplify]: Extracting #8: cost 114 inf + 27801 403.366 * * [simplify]: Extracting #9: cost 43 inf + 60288 403.390 * * [simplify]: Extracting #10: cost 7 inf + 85918 403.425 * * [simplify]: Extracting #11: cost 1 inf + 93535 403.462 * * [simplify]: Extracting #12: cost 0 inf + 95320 403.480 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) 403.480 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 403.481 * * * * [progress]: [ 1272 / 5906 ] simplifiying candidate # 403.481 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 403.482 * * [simplify]: iters left: 6 (52 enodes) 403.497 * * [simplify]: iters left: 5 (255 enodes) 403.582 * * [simplify]: Extracting #0: cost 1 inf + 0 403.582 * * [simplify]: Extracting #1: cost 3 inf + 0 403.582 * * [simplify]: Extracting #2: cost 10 inf + 0 403.582 * * [simplify]: Extracting #3: cost 74 inf + 0 403.582 * * [simplify]: Extracting #4: cost 137 inf + 1 403.583 * * [simplify]: Extracting #5: cost 190 inf + 207 403.584 * * [simplify]: Extracting #6: cost 238 inf + 2783 403.586 * * [simplify]: Extracting #7: cost 198 inf + 10603 403.591 * * [simplify]: Extracting #8: cost 141 inf + 28177 403.609 * * [simplify]: Extracting #9: cost 90 inf + 49945 403.624 * * [simplify]: Extracting #10: cost 47 inf + 68586 403.642 * * [simplify]: Extracting #11: cost 9 inf + 104576 403.669 * * [simplify]: Extracting #12: cost 0 inf + 114961 403.704 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 403.704 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 403.705 * * * * [progress]: [ 1273 / 5906 ] simplifiying candidate # 403.705 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 403.706 * * [simplify]: iters left: 6 (47 enodes) 403.731 * * [simplify]: iters left: 5 (227 enodes) 403.787 * * [simplify]: Extracting #0: cost 1 inf + 0 403.787 * * [simplify]: Extracting #1: cost 3 inf + 0 403.787 * * [simplify]: Extracting #2: cost 10 inf + 0 403.788 * * [simplify]: Extracting #3: cost 65 inf + 0 403.788 * * [simplify]: Extracting #4: cost 116 inf + 86 403.789 * * [simplify]: Extracting #5: cost 150 inf + 1472 403.792 * * [simplify]: Extracting #6: cost 210 inf + 3017 403.795 * * [simplify]: Extracting #7: cost 183 inf + 7255 403.804 * * [simplify]: Extracting #8: cost 113 inf + 28547 403.825 * * [simplify]: Extracting #9: cost 43 inf + 60608 403.850 * * [simplify]: Extracting #10: cost 6 inf + 86530 403.868 * * [simplify]: Extracting #11: cost 1 inf + 93935 403.899 * * [simplify]: Extracting #12: cost 0 inf + 95720 403.930 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) 403.930 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 403.930 * * * * [progress]: [ 1274 / 5906 ] simplifiying candidate # 403.930 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 403.931 * * [simplify]: iters left: 6 (52 enodes) 403.944 * * [simplify]: iters left: 5 (255 enodes) 404.044 * * [simplify]: Extracting #0: cost 1 inf + 0 404.044 * * [simplify]: Extracting #1: cost 3 inf + 0 404.044 * * [simplify]: Extracting #2: cost 6 inf + 0 404.044 * * [simplify]: Extracting #3: cost 56 inf + 0 404.044 * * [simplify]: Extracting #4: cost 130 inf + 0 404.045 * * [simplify]: Extracting #5: cost 209 inf + 0 404.047 * * [simplify]: Extracting #6: cost 287 inf + 681 404.050 * * [simplify]: Extracting #7: cost 236 inf + 10614 404.064 * * [simplify]: Extracting #8: cost 123 inf + 44126 404.088 * * [simplify]: Extracting #9: cost 57 inf + 67540 404.124 * * [simplify]: Extracting #10: cost 8 inf + 114339 404.150 * * [simplify]: Extracting #11: cost 1 inf + 122754 404.192 * * [simplify]: Extracting #12: cost 0 inf + 124819 404.223 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) 404.223 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 404.224 * * * * [progress]: [ 1275 / 5906 ] simplifiying candidate # 404.224 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 404.225 * * [simplify]: iters left: 6 (53 enodes) 404.255 * * [simplify]: iters left: 5 (264 enodes) 404.365 * * [simplify]: Extracting #0: cost 1 inf + 0 404.365 * * [simplify]: Extracting #1: cost 3 inf + 0 404.366 * * [simplify]: Extracting #2: cost 6 inf + 0 404.366 * * [simplify]: Extracting #3: cost 60 inf + 0 404.366 * * [simplify]: Extracting #4: cost 153 inf + 0 404.368 * * [simplify]: Extracting #5: cost 223 inf + 44 404.370 * * [simplify]: Extracting #6: cost 267 inf + 3874 404.376 * * [simplify]: Extracting #7: cost 214 inf + 14429 404.385 * * [simplify]: Extracting #8: cost 164 inf + 25701 404.404 * * [simplify]: Extracting #9: cost 112 inf + 43949 404.429 * * [simplify]: Extracting #10: cost 52 inf + 74877 404.469 * * [simplify]: Extracting #11: cost 9 inf + 117251 404.515 * * [simplify]: Extracting #12: cost 0 inf + 129036 404.541 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 404.541 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 404.542 * * * * [progress]: [ 1276 / 5906 ] simplifiying candidate # 404.542 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 404.543 * * [simplify]: iters left: 6 (53 enodes) 404.567 * * [simplify]: iters left: 5 (264 enodes) 404.640 * * [simplify]: Extracting #0: cost 1 inf + 0 404.640 * * [simplify]: Extracting #1: cost 3 inf + 0 404.640 * * [simplify]: Extracting #2: cost 6 inf + 0 404.640 * * [simplify]: Extracting #3: cost 62 inf + 0 404.641 * * [simplify]: Extracting #4: cost 151 inf + 0 404.642 * * [simplify]: Extracting #5: cost 219 inf + 44 404.648 * * [simplify]: Extracting #6: cost 255 inf + 6249 404.653 * * [simplify]: Extracting #7: cost 231 inf + 10906 404.661 * * [simplify]: Extracting #8: cost 177 inf + 19898 404.669 * * [simplify]: Extracting #9: cost 123 inf + 36359 404.680 * * [simplify]: Extracting #10: cost 62 inf + 66117 404.710 * * [simplify]: Extracting #11: cost 13 inf + 109903 404.758 * * [simplify]: Extracting #12: cost 0 inf + 125748 404.800 * * [simplify]: Extracting #13: cost 0 inf + 125388 404.837 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 404.837 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 404.838 * * * * [progress]: [ 1277 / 5906 ] simplifiying candidate # 404.838 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 404.838 * * [simplify]: iters left: 6 (47 enodes) 404.850 * * [simplify]: iters left: 5 (228 enodes) 404.906 * * [simplify]: Extracting #0: cost 1 inf + 0 404.906 * * [simplify]: Extracting #1: cost 3 inf + 0 404.906 * * [simplify]: Extracting #2: cost 6 inf + 0 404.907 * * [simplify]: Extracting #3: cost 54 inf + 0 404.907 * * [simplify]: Extracting #4: cost 119 inf + 0 404.907 * * [simplify]: Extracting #5: cost 167 inf + 44 404.908 * * [simplify]: Extracting #6: cost 225 inf + 1840 404.909 * * [simplify]: Extracting #7: cost 211 inf + 4361 404.912 * * [simplify]: Extracting #8: cost 161 inf + 11983 404.917 * * [simplify]: Extracting #9: cost 106 inf + 31844 404.931 * * [simplify]: Extracting #10: cost 45 inf + 59548 404.954 * * [simplify]: Extracting #11: cost 9 inf + 90062 404.984 * * [simplify]: Extracting #12: cost 1 inf + 100382 405.025 * * [simplify]: Extracting #13: cost 0 inf + 102287 405.051 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) 405.051 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 405.052 * * * * [progress]: [ 1278 / 5906 ] simplifiying candidate # 405.052 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 405.052 * * [simplify]: iters left: 6 (52 enodes) 405.065 * * [simplify]: iters left: 5 (256 enodes) 405.138 * * [simplify]: Extracting #0: cost 1 inf + 0 405.138 * * [simplify]: Extracting #1: cost 3 inf + 0 405.138 * * [simplify]: Extracting #2: cost 10 inf + 0 405.138 * * [simplify]: Extracting #3: cost 74 inf + 0 405.139 * * [simplify]: Extracting #4: cost 137 inf + 1 405.140 * * [simplify]: Extracting #5: cost 189 inf + 207 405.142 * * [simplify]: Extracting #6: cost 251 inf + 2122 405.145 * * [simplify]: Extracting #7: cost 212 inf + 9332 405.154 * * [simplify]: Extracting #8: cost 136 inf + 27684 405.172 * * [simplify]: Extracting #9: cost 69 inf + 54956 405.206 * * [simplify]: Extracting #10: cost 9 inf + 108534 405.232 * * [simplify]: Extracting #11: cost 1 inf + 117553 405.259 * * [simplify]: Extracting #12: cost 0 inf + 119658 405.289 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))))) 405.289 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 405.290 * * * * [progress]: [ 1279 / 5906 ] simplifiying candidate # 405.290 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 405.291 * * [simplify]: iters left: 6 (47 enodes) 405.304 * * [simplify]: iters left: 5 (228 enodes) 405.351 * * [simplify]: Extracting #0: cost 1 inf + 0 405.351 * * [simplify]: Extracting #1: cost 3 inf + 0 405.351 * * [simplify]: Extracting #2: cost 10 inf + 0 405.351 * * [simplify]: Extracting #3: cost 66 inf + 0 405.352 * * [simplify]: Extracting #4: cost 115 inf + 208 405.352 * * [simplify]: Extracting #5: cost 146 inf + 1958 405.354 * * [simplify]: Extracting #6: cost 216 inf + 2932 405.355 * * [simplify]: Extracting #7: cost 210 inf + 4116 405.359 * * [simplify]: Extracting #8: cost 125 inf + 27447 405.369 * * [simplify]: Extracting #9: cost 57 inf + 55416 405.397 * * [simplify]: Extracting #10: cost 14 inf + 82533 405.428 * * [simplify]: Extracting #11: cost 3 inf + 92942 405.447 * * [simplify]: Extracting #12: cost 1 inf + 96552 405.485 * * [simplify]: Extracting #13: cost 0 inf + 98377 405.523 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) 405.523 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 405.524 * * * * [progress]: [ 1280 / 5906 ] simplifiying candidate # 405.525 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 405.525 * * [simplify]: iters left: 6 (52 enodes) 405.551 * * [simplify]: iters left: 5 (256 enodes) 405.638 * * [simplify]: Extracting #0: cost 1 inf + 0 405.639 * * [simplify]: Extracting #1: cost 3 inf + 0 405.639 * * [simplify]: Extracting #2: cost 10 inf + 0 405.639 * * [simplify]: Extracting #3: cost 74 inf + 0 405.639 * * [simplify]: Extracting #4: cost 137 inf + 1 405.640 * * [simplify]: Extracting #5: cost 189 inf + 207 405.640 * * [simplify]: Extracting #6: cost 255 inf + 1355 405.642 * * [simplify]: Extracting #7: cost 214 inf + 9018 405.646 * * [simplify]: Extracting #8: cost 137 inf + 27299 405.661 * * [simplify]: Extracting #9: cost 68 inf + 56120 405.699 * * [simplify]: Extracting #10: cost 9 inf + 109414 405.748 * * [simplify]: Extracting #11: cost 1 inf + 118513 405.783 * * [simplify]: Extracting #12: cost 0 inf + 120618 405.813 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))))) 405.813 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 405.814 * * * * [progress]: [ 1281 / 5906 ] simplifiying candidate # 405.814 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 405.815 * * [simplify]: iters left: 6 (47 enodes) 405.837 * * [simplify]: iters left: 5 (228 enodes) 405.890 * * [simplify]: Extracting #0: cost 1 inf + 0 405.890 * * [simplify]: Extracting #1: cost 3 inf + 0 405.890 * * [simplify]: Extracting #2: cost 10 inf + 0 405.890 * * [simplify]: Extracting #3: cost 65 inf + 0 405.890 * * [simplify]: Extracting #4: cost 116 inf + 86 405.891 * * [simplify]: Extracting #5: cost 151 inf + 1349 405.892 * * [simplify]: Extracting #6: cost 218 inf + 2689 405.893 * * [simplify]: Extracting #7: cost 208 inf + 4520 405.897 * * [simplify]: Extracting #8: cost 124 inf + 27673 405.907 * * [simplify]: Extracting #9: cost 56 inf + 56380 405.932 * * [simplify]: Extracting #10: cost 11 inf + 85142 405.952 * * [simplify]: Extracting #11: cost 1 inf + 97112 405.985 * * [simplify]: Extracting #12: cost 0 inf + 98857 406.009 * * [simplify]: Extracting #13: cost 0 inf + 98777 406.041 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) 406.041 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 406.042 * * * * [progress]: [ 1282 / 5906 ] simplifiying candidate # 406.043 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 406.043 * * [simplify]: iters left: 6 (52 enodes) 406.066 * * [simplify]: iters left: 5 (255 enodes) 406.136 * * [simplify]: Extracting #0: cost 1 inf + 0 406.136 * * [simplify]: Extracting #1: cost 3 inf + 0 406.136 * * [simplify]: Extracting #2: cost 6 inf + 0 406.137 * * [simplify]: Extracting #3: cost 56 inf + 0 406.137 * * [simplify]: Extracting #4: cost 130 inf + 0 406.138 * * [simplify]: Extracting #5: cost 210 inf + 0 406.138 * * [simplify]: Extracting #6: cost 282 inf + 766 406.141 * * [simplify]: Extracting #7: cost 217 inf + 12253 406.147 * * [simplify]: Extracting #8: cost 112 inf + 45549 406.184 * * [simplify]: Extracting #9: cost 12 inf + 110672 406.208 * * [simplify]: Extracting #10: cost 1 inf + 120179 406.252 * * [simplify]: Extracting #11: cost 0 inf + 122204 406.299 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) 406.299 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 406.300 * * * * [progress]: [ 1283 / 5906 ] simplifiying candidate # 406.301 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 406.301 * * [simplify]: iters left: 6 (53 enodes) 406.328 * * [simplify]: iters left: 5 (264 enodes) 406.444 * * [simplify]: Extracting #0: cost 1 inf + 0 406.444 * * [simplify]: Extracting #1: cost 3 inf + 0 406.445 * * [simplify]: Extracting #2: cost 6 inf + 0 406.445 * * [simplify]: Extracting #3: cost 60 inf + 0 406.445 * * [simplify]: Extracting #4: cost 153 inf + 0 406.447 * * [simplify]: Extracting #5: cost 224 inf + 44 406.449 * * [simplify]: Extracting #6: cost 260 inf + 4362 406.456 * * [simplify]: Extracting #7: cost 202 inf + 14975 406.467 * * [simplify]: Extracting #8: cost 150 inf + 30449 406.485 * * [simplify]: Extracting #9: cost 97 inf + 53350 406.502 * * [simplify]: Extracting #10: cost 51 inf + 73026 406.522 * * [simplify]: Extracting #11: cost 10 inf + 115571 406.549 * * [simplify]: Extracting #12: cost 0 inf + 126301 406.579 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 406.579 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 406.580 * * * * [progress]: [ 1284 / 5906 ] simplifiying candidate # 406.580 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 406.581 * * [simplify]: iters left: 6 (53 enodes) 406.609 * * [simplify]: iters left: 5 (264 enodes) 406.675 * * [simplify]: Extracting #0: cost 1 inf + 0 406.676 * * [simplify]: Extracting #1: cost 3 inf + 0 406.676 * * [simplify]: Extracting #2: cost 6 inf + 0 406.676 * * [simplify]: Extracting #3: cost 62 inf + 0 406.676 * * [simplify]: Extracting #4: cost 151 inf + 0 406.676 * * [simplify]: Extracting #5: cost 220 inf + 44 406.678 * * [simplify]: Extracting #6: cost 259 inf + 3836 406.680 * * [simplify]: Extracting #7: cost 208 inf + 13717 406.685 * * [simplify]: Extracting #8: cost 158 inf + 24748 406.693 * * [simplify]: Extracting #9: cost 105 inf + 46978 406.710 * * [simplify]: Extracting #10: cost 52 inf + 70433 406.749 * * [simplify]: Extracting #11: cost 14 inf + 106583 406.795 * * [simplify]: Extracting #12: cost 0 inf + 123973 406.842 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (+ phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 406.842 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (+ phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 406.843 * * * * [progress]: [ 1285 / 5906 ] simplifiying candidate # 406.843 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 406.844 * * [simplify]: iters left: 6 (47 enodes) 406.868 * * [simplify]: iters left: 5 (228 enodes) 406.958 * * [simplify]: Extracting #0: cost 1 inf + 0 406.958 * * [simplify]: Extracting #1: cost 3 inf + 0 406.958 * * [simplify]: Extracting #2: cost 6 inf + 0 406.958 * * [simplify]: Extracting #3: cost 54 inf + 0 406.958 * * [simplify]: Extracting #4: cost 119 inf + 0 406.959 * * [simplify]: Extracting #5: cost 168 inf + 44 406.960 * * [simplify]: Extracting #6: cost 220 inf + 2045 406.962 * * [simplify]: Extracting #7: cost 175 inf + 9316 406.967 * * [simplify]: Extracting #8: cost 108 inf + 31037 406.977 * * [simplify]: Extracting #9: cost 46 inf + 58585 406.993 * * [simplify]: Extracting #10: cost 12 inf + 86878 407.015 * * [simplify]: Extracting #11: cost 1 inf + 97647 407.034 * * [simplify]: Extracting #12: cost 0 inf + 99512 407.056 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) 407.056 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 407.057 * * * * [progress]: [ 1286 / 5906 ] simplifiying candidate # 407.057 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 407.058 * * [simplify]: iters left: 6 (52 enodes) 407.085 * * [simplify]: iters left: 5 (256 enodes) 407.181 * * [simplify]: Extracting #0: cost 1 inf + 0 407.181 * * [simplify]: Extracting #1: cost 3 inf + 0 407.182 * * [simplify]: Extracting #2: cost 10 inf + 0 407.182 * * [simplify]: Extracting #3: cost 74 inf + 0 407.182 * * [simplify]: Extracting #4: cost 137 inf + 1 407.183 * * [simplify]: Extracting #5: cost 190 inf + 207 407.184 * * [simplify]: Extracting #6: cost 241 inf + 2617 407.186 * * [simplify]: Extracting #7: cost 193 inf + 12443 407.192 * * [simplify]: Extracting #8: cost 118 inf + 34605 407.202 * * [simplify]: Extracting #9: cost 54 inf + 64356 407.229 * * [simplify]: Extracting #10: cost 7 inf + 107508 407.273 * * [simplify]: Extracting #11: cost 1 inf + 114578 407.296 * * [simplify]: Extracting #12: cost 0 inf + 116643 407.328 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 407.328 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 407.329 * * * * [progress]: [ 1287 / 5906 ] simplifiying candidate # 407.329 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 407.330 * * [simplify]: iters left: 6 (47 enodes) 407.341 * * [simplify]: iters left: 5 (228 enodes) 407.408 * * [simplify]: Extracting #0: cost 1 inf + 0 407.408 * * [simplify]: Extracting #1: cost 3 inf + 0 407.408 * * [simplify]: Extracting #2: cost 10 inf + 0 407.408 * * [simplify]: Extracting #3: cost 66 inf + 0 407.408 * * [simplify]: Extracting #4: cost 115 inf + 208 407.409 * * [simplify]: Extracting #5: cost 147 inf + 1958 407.410 * * [simplify]: Extracting #6: cost 211 inf + 3017 407.412 * * [simplify]: Extracting #7: cost 184 inf + 7535 407.416 * * [simplify]: Extracting #8: cost 109 inf + 30701 407.431 * * [simplify]: Extracting #9: cost 55 inf + 53629 407.460 * * [simplify]: Extracting #10: cost 12 inf + 82635 407.495 * * [simplify]: Extracting #11: cost 3 inf + 92087 407.535 * * [simplify]: Extracting #12: cost 1 inf + 95777 407.572 * * [simplify]: Extracting #13: cost 0 inf + 97642 407.610 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) 407.610 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 407.611 * * * * [progress]: [ 1288 / 5906 ] simplifiying candidate # 407.612 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 407.612 * * [simplify]: iters left: 6 (52 enodes) 407.639 * * [simplify]: iters left: 5 (256 enodes) 407.717 * * [simplify]: Extracting #0: cost 1 inf + 0 407.717 * * [simplify]: Extracting #1: cost 3 inf + 0 407.717 * * [simplify]: Extracting #2: cost 10 inf + 0 407.717 * * [simplify]: Extracting #3: cost 74 inf + 0 407.718 * * [simplify]: Extracting #4: cost 137 inf + 1 407.718 * * [simplify]: Extracting #5: cost 190 inf + 207 407.719 * * [simplify]: Extracting #6: cost 245 inf + 1850 407.722 * * [simplify]: Extracting #7: cost 197 inf + 11273 407.734 * * [simplify]: Extracting #8: cost 120 inf + 34336 407.755 * * [simplify]: Extracting #9: cost 54 inf + 65236 407.774 * * [simplify]: Extracting #10: cost 7 inf + 108468 407.810 * * [simplify]: Extracting #11: cost 1 inf + 115538 407.840 * * [simplify]: Extracting #12: cost 0 inf + 117603 407.877 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 407.877 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 407.878 * * * * [progress]: [ 1289 / 5906 ] simplifiying candidate # 407.879 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 407.879 * * [simplify]: iters left: 6 (47 enodes) 407.904 * * [simplify]: iters left: 5 (228 enodes) 407.962 * * [simplify]: Extracting #0: cost 1 inf + 0 407.962 * * [simplify]: Extracting #1: cost 3 inf + 0 407.962 * * [simplify]: Extracting #2: cost 10 inf + 0 407.962 * * [simplify]: Extracting #3: cost 65 inf + 0 407.962 * * [simplify]: Extracting #4: cost 116 inf + 86 407.963 * * [simplify]: Extracting #5: cost 152 inf + 1349 407.964 * * [simplify]: Extracting #6: cost 212 inf + 2855 407.966 * * [simplify]: Extracting #7: cost 182 inf + 7818 407.972 * * [simplify]: Extracting #8: cost 108 inf + 30942 407.991 * * [simplify]: Extracting #9: cost 54 inf + 54713 408.020 * * [simplify]: Extracting #10: cost 11 inf + 84940 408.060 * * [simplify]: Extracting #11: cost 1 inf + 96337 408.097 * * [simplify]: Extracting #12: cost 0 inf + 98122 408.135 * * [simplify]: Extracting #13: cost 0 inf + 98042 408.174 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) 408.174 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 408.175 * * * * [progress]: [ 1290 / 5906 ] simplifiying candidate # 408.176 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 408.177 * * [simplify]: iters left: 6 (52 enodes) 408.204 * * [simplify]: iters left: 5 (253 enodes) 408.273 * * [simplify]: Extracting #0: cost 1 inf + 0 408.273 * * [simplify]: Extracting #1: cost 3 inf + 0 408.273 * * [simplify]: Extracting #2: cost 6 inf + 0 408.274 * * [simplify]: Extracting #3: cost 56 inf + 0 408.274 * * [simplify]: Extracting #4: cost 130 inf + 0 408.275 * * [simplify]: Extracting #5: cost 216 inf + 0 408.277 * * [simplify]: Extracting #6: cost 303 inf + 934 408.281 * * [simplify]: Extracting #7: cost 237 inf + 13243 408.294 * * [simplify]: Extracting #8: cost 152 inf + 36072 408.313 * * [simplify]: Extracting #9: cost 96 inf + 56970 408.329 * * [simplify]: Extracting #10: cost 51 inf + 75135 408.354 * * [simplify]: Extracting #11: cost 10 inf + 115398 408.392 * * [simplify]: Extracting #12: cost 0 inf + 128968 408.424 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 408.425 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 408.426 * * * * [progress]: [ 1291 / 5906 ] simplifiying candidate # 408.426 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 408.427 * * [simplify]: iters left: 6 (53 enodes) 408.455 * * [simplify]: iters left: 5 (262 enodes) 408.539 * * [simplify]: Extracting #0: cost 1 inf + 0 408.539 * * [simplify]: Extracting #1: cost 3 inf + 0 408.539 * * [simplify]: Extracting #2: cost 6 inf + 0 408.539 * * [simplify]: Extracting #3: cost 60 inf + 0 408.540 * * [simplify]: Extracting #4: cost 153 inf + 0 408.540 * * [simplify]: Extracting #5: cost 230 inf + 44 408.542 * * [simplify]: Extracting #6: cost 281 inf + 4442 408.544 * * [simplify]: Extracting #7: cost 253 inf + 9985 408.555 * * [simplify]: Extracting #8: cost 160 inf + 31153 408.578 * * [simplify]: Extracting #9: cost 74 inf + 61530 408.620 * * [simplify]: Extracting #10: cost 12 inf + 120030 408.673 * * [simplify]: Extracting #11: cost 0 inf + 131745 408.724 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 408.725 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 408.726 * * * * [progress]: [ 1292 / 5906 ] simplifiying candidate # 408.726 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 408.727 * * [simplify]: iters left: 6 (53 enodes) 408.750 * * [simplify]: iters left: 5 (262 enodes) 408.831 * * [simplify]: Extracting #0: cost 1 inf + 0 408.831 * * [simplify]: Extracting #1: cost 3 inf + 0 408.831 * * [simplify]: Extracting #2: cost 6 inf + 0 408.831 * * [simplify]: Extracting #3: cost 62 inf + 0 408.831 * * [simplify]: Extracting #4: cost 151 inf + 0 408.832 * * [simplify]: Extracting #5: cost 226 inf + 44 408.833 * * [simplify]: Extracting #6: cost 278 inf + 4640 408.837 * * [simplify]: Extracting #7: cost 218 inf + 18414 408.844 * * [simplify]: Extracting #8: cost 157 inf + 38708 408.870 * * [simplify]: Extracting #9: cost 84 inf + 66484 408.900 * * [simplify]: Extracting #10: cost 37 inf + 86932 408.946 * * [simplify]: Extracting #11: cost 2 inf + 126207 408.995 * * [simplify]: Extracting #12: cost 0 inf + 129577 409.038 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 409.039 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 409.039 * * * * [progress]: [ 1293 / 5906 ] simplifiying candidate # 409.040 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 409.041 * * [simplify]: iters left: 6 (47 enodes) 409.054 * * [simplify]: iters left: 5 (226 enodes) 409.103 * * [simplify]: Extracting #0: cost 1 inf + 0 409.103 * * [simplify]: Extracting #1: cost 3 inf + 0 409.103 * * [simplify]: Extracting #2: cost 6 inf + 0 409.103 * * [simplify]: Extracting #3: cost 54 inf + 0 409.104 * * [simplify]: Extracting #4: cost 119 inf + 0 409.105 * * [simplify]: Extracting #5: cost 174 inf + 44 409.106 * * [simplify]: Extracting #6: cost 247 inf + 1232 409.109 * * [simplify]: Extracting #7: cost 230 inf + 3876 409.116 * * [simplify]: Extracting #8: cost 155 inf + 19179 409.133 * * [simplify]: Extracting #9: cost 85 inf + 41611 409.157 * * [simplify]: Extracting #10: cost 32 inf + 73448 409.190 * * [simplify]: Extracting #11: cost 3 inf + 101641 409.212 * * [simplify]: Extracting #12: cost 1 inf + 105491 409.245 * * [simplify]: Extracting #13: cost 0 inf + 107436 409.289 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 409.289 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 409.290 * * * * [progress]: [ 1294 / 5906 ] simplifiying candidate # 409.290 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 409.291 * * [simplify]: iters left: 6 (52 enodes) 409.318 * * [simplify]: iters left: 5 (254 enodes) 409.420 * * [simplify]: Extracting #0: cost 1 inf + 0 409.420 * * [simplify]: Extracting #1: cost 3 inf + 0 409.420 * * [simplify]: Extracting #2: cost 10 inf + 0 409.420 * * [simplify]: Extracting #3: cost 74 inf + 0 409.421 * * [simplify]: Extracting #4: cost 137 inf + 1 409.422 * * [simplify]: Extracting #5: cost 196 inf + 207 409.424 * * [simplify]: Extracting #6: cost 264 inf + 3172 409.432 * * [simplify]: Extracting #7: cost 210 inf + 12520 409.442 * * [simplify]: Extracting #8: cost 143 inf + 32427 409.454 * * [simplify]: Extracting #9: cost 94 inf + 52870 409.466 * * [simplify]: Extracting #10: cost 53 inf + 69922 409.492 * * [simplify]: Extracting #11: cost 9 inf + 110342 409.524 * * [simplify]: Extracting #12: cost 1 inf + 120542 409.551 * * [simplify]: Extracting #13: cost 0 inf + 122607 409.580 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 409.580 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 409.581 * * * * [progress]: [ 1295 / 5906 ] simplifiying candidate # 409.582 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 409.582 * * [simplify]: iters left: 6 (47 enodes) 409.607 * * [simplify]: iters left: 5 (226 enodes) 409.684 * * [simplify]: Extracting #0: cost 1 inf + 0 409.684 * * [simplify]: Extracting #1: cost 3 inf + 0 409.684 * * [simplify]: Extracting #2: cost 10 inf + 0 409.684 * * [simplify]: Extracting #3: cost 66 inf + 0 409.684 * * [simplify]: Extracting #4: cost 117 inf + 44 409.685 * * [simplify]: Extracting #5: cost 160 inf + 1064 409.688 * * [simplify]: Extracting #6: cost 234 inf + 2972 409.690 * * [simplify]: Extracting #7: cost 228 inf + 4116 409.698 * * [simplify]: Extracting #8: cost 135 inf + 27798 409.718 * * [simplify]: Extracting #9: cost 63 inf + 57379 409.744 * * [simplify]: Extracting #10: cost 22 inf + 77856 409.780 * * [simplify]: Extracting #11: cost 3 inf + 97491 409.819 * * [simplify]: Extracting #12: cost 0 inf + 102926 409.862 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) 409.863 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 409.864 * * * * [progress]: [ 1296 / 5906 ] simplifiying candidate # 409.864 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 409.865 * * [simplify]: iters left: 6 (52 enodes) 409.886 * * [simplify]: iters left: 5 (254 enodes) 409.958 * * [simplify]: Extracting #0: cost 1 inf + 0 409.958 * * [simplify]: Extracting #1: cost 3 inf + 0 409.958 * * [simplify]: Extracting #2: cost 10 inf + 0 409.958 * * [simplify]: Extracting #3: cost 74 inf + 0 409.959 * * [simplify]: Extracting #4: cost 137 inf + 1 409.960 * * [simplify]: Extracting #5: cost 196 inf + 207 409.962 * * [simplify]: Extracting #6: cost 271 inf + 1839 409.966 * * [simplify]: Extracting #7: cost 216 inf + 10948 409.975 * * [simplify]: Extracting #8: cost 148 inf + 30814 409.992 * * [simplify]: Extracting #9: cost 93 inf + 54095 410.016 * * [simplify]: Extracting #10: cost 53 inf + 70882 410.053 * * [simplify]: Extracting #11: cost 9 inf + 111302 410.085 * * [simplify]: Extracting #12: cost 1 inf + 121502 410.120 * * [simplify]: Extracting #13: cost 0 inf + 123567 410.159 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 410.159 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 410.159 * * * * [progress]: [ 1297 / 5906 ] simplifiying candidate # 410.160 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 410.160 * * [simplify]: iters left: 6 (47 enodes) 410.172 * * [simplify]: iters left: 5 (226 enodes) 410.232 * * [simplify]: Extracting #0: cost 1 inf + 0 410.232 * * [simplify]: Extracting #1: cost 3 inf + 0 410.232 * * [simplify]: Extracting #2: cost 10 inf + 0 410.232 * * [simplify]: Extracting #3: cost 65 inf + 0 410.232 * * [simplify]: Extracting #4: cost 116 inf + 86 410.233 * * [simplify]: Extracting #5: cost 153 inf + 1998 410.234 * * [simplify]: Extracting #6: cost 234 inf + 2932 410.235 * * [simplify]: Extracting #7: cost 230 inf + 3913 410.239 * * [simplify]: Extracting #8: cost 140 inf + 24058 410.248 * * [simplify]: Extracting #9: cost 63 inf + 58118 410.262 * * [simplify]: Extracting #10: cost 22 inf + 78416 410.281 * * [simplify]: Extracting #11: cost 3 inf + 97891 410.319 * * [simplify]: Extracting #12: cost 0 inf + 103326 410.356 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) 410.356 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 410.357 * * * * [progress]: [ 1298 / 5906 ] simplifiying candidate # 410.357 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 410.357 * * [simplify]: iters left: 6 (52 enodes) 410.371 * * [simplify]: iters left: 5 (249 enodes) 410.468 * * [simplify]: Extracting #0: cost 1 inf + 0 410.468 * * [simplify]: Extracting #1: cost 3 inf + 0 410.468 * * [simplify]: Extracting #2: cost 6 inf + 0 410.468 * * [simplify]: Extracting #3: cost 53 inf + 0 410.469 * * [simplify]: Extracting #4: cost 118 inf + 0 410.470 * * [simplify]: Extracting #5: cost 187 inf + 0 410.471 * * [simplify]: Extracting #6: cost 267 inf + 510 410.474 * * [simplify]: Extracting #7: cost 220 inf + 8011 410.484 * * [simplify]: Extracting #8: cost 133 inf + 32168 410.500 * * [simplify]: Extracting #9: cost 84 inf + 46950 410.520 * * [simplify]: Extracting #10: cost 50 inf + 60188 410.548 * * [simplify]: Extracting #11: cost 8 inf + 100318 410.569 * * [simplify]: Extracting #12: cost 1 inf + 108293 410.612 * * [simplify]: Extracting #13: cost 0 inf + 110118 410.649 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) 410.649 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 410.650 * * * * [progress]: [ 1299 / 5906 ] simplifiying candidate # 410.650 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 410.650 * * [simplify]: iters left: 6 (53 enodes) 410.664 * * [simplify]: iters left: 5 (258 enodes) 410.731 * * [simplify]: Extracting #0: cost 1 inf + 0 410.731 * * [simplify]: Extracting #1: cost 3 inf + 0 410.731 * * [simplify]: Extracting #2: cost 6 inf + 0 410.731 * * [simplify]: Extracting #3: cost 55 inf + 0 410.732 * * [simplify]: Extracting #4: cost 139 inf + 0 410.732 * * [simplify]: Extracting #5: cost 199 inf + 44 410.733 * * [simplify]: Extracting #6: cost 252 inf + 2903 410.735 * * [simplify]: Extracting #7: cost 210 inf + 11033 410.739 * * [simplify]: Extracting #8: cost 153 inf + 20741 410.745 * * [simplify]: Extracting #9: cost 102 inf + 38890 410.756 * * [simplify]: Extracting #10: cost 49 inf + 63241 410.782 * * [simplify]: Extracting #11: cost 33 inf + 73641 410.809 * * [simplify]: Extracting #12: cost 10 inf + 97976 410.833 * * [simplify]: Extracting #13: cost 0 inf + 111186 410.856 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 410.856 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 410.857 * * * * [progress]: [ 1300 / 5906 ] simplifiying candidate # 410.857 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 410.857 * * [simplify]: iters left: 6 (53 enodes) 410.871 * * [simplify]: iters left: 5 (258 enodes) 410.965 * * [simplify]: Extracting #0: cost 1 inf + 0 410.965 * * [simplify]: Extracting #1: cost 3 inf + 0 410.965 * * [simplify]: Extracting #2: cost 6 inf + 0 410.965 * * [simplify]: Extracting #3: cost 57 inf + 0 410.965 * * [simplify]: Extracting #4: cost 137 inf + 0 410.966 * * [simplify]: Extracting #5: cost 195 inf + 44 410.967 * * [simplify]: Extracting #6: cost 246 inf + 3665 410.970 * * [simplify]: Extracting #7: cost 179 inf + 14486 410.975 * * [simplify]: Extracting #8: cost 128 inf + 29777 410.983 * * [simplify]: Extracting #9: cost 85 inf + 47285 410.998 * * [simplify]: Extracting #10: cost 48 inf + 62098 411.033 * * [simplify]: Extracting #11: cost 9 inf + 97433 411.079 * * [simplify]: Extracting #12: cost 0 inf + 109058 411.119 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 411.119 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 411.119 * * * * [progress]: [ 1301 / 5906 ] simplifiying candidate # 411.120 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 411.120 * * [simplify]: iters left: 6 (47 enodes) 411.132 * * [simplify]: iters left: 5 (221 enodes) 411.186 * * [simplify]: Extracting #0: cost 1 inf + 0 411.186 * * [simplify]: Extracting #1: cost 3 inf + 0 411.186 * * [simplify]: Extracting #2: cost 6 inf + 0 411.187 * * [simplify]: Extracting #3: cost 50 inf + 0 411.187 * * [simplify]: Extracting #4: cost 107 inf + 0 411.187 * * [simplify]: Extracting #5: cost 142 inf + 370 411.188 * * [simplify]: Extracting #6: cost 202 inf + 2246 411.190 * * [simplify]: Extracting #7: cost 188 inf + 4845 411.196 * * [simplify]: Extracting #8: cost 126 inf + 17325 411.210 * * [simplify]: Extracting #9: cost 64 inf + 39860 411.233 * * [simplify]: Extracting #10: cost 12 inf + 75646 411.250 * * [simplify]: Extracting #11: cost 0 inf + 88163 411.278 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ phi1 phi2))))) 411.278 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 411.279 * * * * [progress]: [ 1302 / 5906 ] simplifiying candidate # 411.280 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 411.281 * * [simplify]: iters left: 6 (52 enodes) 411.308 * * [simplify]: iters left: 5 (249 enodes) 411.380 * * [simplify]: Extracting #0: cost 1 inf + 0 411.380 * * [simplify]: Extracting #1: cost 3 inf + 0 411.380 * * [simplify]: Extracting #2: cost 10 inf + 0 411.380 * * [simplify]: Extracting #3: cost 66 inf + 0 411.381 * * [simplify]: Extracting #4: cost 126 inf + 1 411.382 * * [simplify]: Extracting #5: cost 168 inf + 207 411.384 * * [simplify]: Extracting #6: cost 235 inf + 1716 411.387 * * [simplify]: Extracting #7: cost 210 inf + 6097 411.392 * * [simplify]: Extracting #8: cost 159 inf + 14961 411.402 * * [simplify]: Extracting #9: cost 102 inf + 32683 411.420 * * [simplify]: Extracting #10: cost 57 inf + 53079 411.446 * * [simplify]: Extracting #11: cost 33 inf + 68317 411.481 * * [simplify]: Extracting #12: cost 3 inf + 101227 411.522 * * [simplify]: Extracting #13: cost 0 inf + 105022 411.543 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 411.543 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 411.544 * * * * [progress]: [ 1303 / 5906 ] simplifiying candidate # 411.544 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 411.544 * * [simplify]: iters left: 6 (47 enodes) 411.560 * * [simplify]: iters left: 5 (222 enodes) 411.609 * * [simplify]: Extracting #0: cost 1 inf + 0 411.609 * * [simplify]: Extracting #1: cost 3 inf + 0 411.609 * * [simplify]: Extracting #2: cost 10 inf + 0 411.609 * * [simplify]: Extracting #3: cost 57 inf + 0 411.609 * * [simplify]: Extracting #4: cost 102 inf + 370 411.610 * * [simplify]: Extracting #5: cost 126 inf + 1877 411.611 * * [simplify]: Extracting #6: cost 197 inf + 2932 411.612 * * [simplify]: Extracting #7: cost 186 inf + 5006 411.615 * * [simplify]: Extracting #8: cost 127 inf + 16633 411.623 * * [simplify]: Extracting #9: cost 52 inf + 47829 411.637 * * [simplify]: Extracting #10: cost 18 inf + 67955 411.667 * * [simplify]: Extracting #11: cost 3 inf + 79544 411.697 * * [simplify]: Extracting #12: cost 1 inf + 82514 411.715 * * [simplify]: Extracting #13: cost 0 inf + 84019 411.736 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (+ phi1 phi2))) (- phi1 phi2)) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) 411.736 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (+ phi1 phi2))) (- phi1 phi2)) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 411.737 * * * * [progress]: [ 1304 / 5906 ] simplifiying candidate # 411.738 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 411.738 * * [simplify]: iters left: 6 (52 enodes) 411.765 * * [simplify]: iters left: 5 (249 enodes) 411.864 * * [simplify]: Extracting #0: cost 1 inf + 0 411.864 * * [simplify]: Extracting #1: cost 3 inf + 0 411.865 * * [simplify]: Extracting #2: cost 10 inf + 0 411.865 * * [simplify]: Extracting #3: cost 66 inf + 0 411.865 * * [simplify]: Extracting #4: cost 126 inf + 1 411.866 * * [simplify]: Extracting #5: cost 168 inf + 207 411.868 * * [simplify]: Extracting #6: cost 231 inf + 2203 411.871 * * [simplify]: Extracting #7: cost 211 inf + 5854 411.874 * * [simplify]: Extracting #8: cost 159 inf + 14831 411.880 * * [simplify]: Extracting #9: cost 102 inf + 33083 411.888 * * [simplify]: Extracting #10: cost 57 inf + 53719 411.900 * * [simplify]: Extracting #11: cost 33 inf + 69117 411.920 * * [simplify]: Extracting #12: cost 3 inf + 102027 411.947 * * [simplify]: Extracting #13: cost 0 inf + 105822 411.990 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 411.990 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 411.991 * * * * [progress]: [ 1305 / 5906 ] simplifiying candidate # 411.991 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 411.992 * * [simplify]: iters left: 6 (47 enodes) 412.017 * * [simplify]: iters left: 5 (222 enodes) 412.069 * * [simplify]: Extracting #0: cost 1 inf + 0 412.069 * * [simplify]: Extracting #1: cost 3 inf + 0 412.069 * * [simplify]: Extracting #2: cost 10 inf + 0 412.069 * * [simplify]: Extracting #3: cost 56 inf + 0 412.070 * * [simplify]: Extracting #4: cost 104 inf + 86 412.070 * * [simplify]: Extracting #5: cost 123 inf + 2242 412.071 * * [simplify]: Extracting #6: cost 197 inf + 2932 412.073 * * [simplify]: Extracting #7: cost 186 inf + 5006 412.079 * * [simplify]: Extracting #8: cost 127 inf + 16713 412.096 * * [simplify]: Extracting #9: cost 50 inf + 49325 412.110 * * [simplify]: Extracting #10: cost 18 inf + 68275 412.126 * * [simplify]: Extracting #11: cost 3 inf + 79864 412.152 * * [simplify]: Extracting #12: cost 1 inf + 82834 412.186 * * [simplify]: Extracting #13: cost 0 inf + 84339 412.208 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) 412.208 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 412.209 * * * * [progress]: [ 1306 / 5906 ] simplifiying candidate # 412.209 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 412.210 * * [simplify]: iters left: 6 (48 enodes) 412.222 * * [simplify]: iters left: 5 (226 enodes) 412.300 * * [simplify]: Extracting #0: cost 1 inf + 0 412.300 * * [simplify]: Extracting #1: cost 3 inf + 0 412.300 * * [simplify]: Extracting #2: cost 6 inf + 0 412.300 * * [simplify]: Extracting #3: cost 48 inf + 0 412.300 * * [simplify]: Extracting #4: cost 112 inf + 0 412.300 * * [simplify]: Extracting #5: cost 185 inf + 0 412.303 * * [simplify]: Extracting #6: cost 250 inf + 86 412.305 * * [simplify]: Extracting #7: cost 207 inf + 5133 412.308 * * [simplify]: Extracting #8: cost 129 inf + 22297 412.315 * * [simplify]: Extracting #9: cost 75 inf + 43130 412.325 * * [simplify]: Extracting #10: cost 44 inf + 56794 412.350 * * [simplify]: Extracting #11: cost 4 inf + 98834 412.392 * * [simplify]: Extracting #12: cost 0 inf + 103014 412.427 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 412.427 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 412.427 * * * * [progress]: [ 1307 / 5906 ] simplifiying candidate # 412.428 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 412.428 * * [simplify]: iters left: 6 (49 enodes) 412.443 * * [simplify]: iters left: 5 (235 enodes) 412.514 * * [simplify]: Extracting #0: cost 1 inf + 0 412.514 * * [simplify]: Extracting #1: cost 3 inf + 0 412.514 * * [simplify]: Extracting #2: cost 6 inf + 0 412.514 * * [simplify]: Extracting #3: cost 52 inf + 0 412.514 * * [simplify]: Extracting #4: cost 135 inf + 0 412.515 * * [simplify]: Extracting #5: cost 197 inf + 127 412.516 * * [simplify]: Extracting #6: cost 225 inf + 4279 412.519 * * [simplify]: Extracting #7: cost 185 inf + 11407 412.523 * * [simplify]: Extracting #8: cost 130 inf + 25745 412.531 * * [simplify]: Extracting #9: cost 80 inf + 44722 412.546 * * [simplify]: Extracting #10: cost 47 inf + 58296 412.570 * * [simplify]: Extracting #11: cost 30 inf + 71241 412.589 * * [simplify]: Extracting #12: cost 2 inf + 102501 412.627 * * [simplify]: Extracting #13: cost 0 inf + 105511 412.672 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ phi1 phi2))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) 412.672 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ phi1 phi2))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 412.673 * * * * [progress]: [ 1308 / 5906 ] simplifiying candidate # 412.674 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 412.674 * * [simplify]: iters left: 6 (49 enodes) 412.692 * * [simplify]: iters left: 5 (235 enodes) 412.746 * * [simplify]: Extracting #0: cost 1 inf + 0 412.746 * * [simplify]: Extracting #1: cost 3 inf + 0 412.746 * * [simplify]: Extracting #2: cost 6 inf + 0 412.746 * * [simplify]: Extracting #3: cost 54 inf + 0 412.746 * * [simplify]: Extracting #4: cost 133 inf + 0 412.747 * * [simplify]: Extracting #5: cost 193 inf + 166 412.750 * * [simplify]: Extracting #6: cost 217 inf + 5445 412.755 * * [simplify]: Extracting #7: cost 180 inf + 12170 412.762 * * [simplify]: Extracting #8: cost 136 inf + 20363 412.774 * * [simplify]: Extracting #9: cost 90 inf + 36695 412.796 * * [simplify]: Extracting #10: cost 39 inf + 63168 412.825 * * [simplify]: Extracting #11: cost 3 inf + 98348 412.847 * * [simplify]: Extracting #12: cost 0 inf + 102103 412.888 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) 412.888 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 412.889 * * * * [progress]: [ 1309 / 5906 ] simplifiying candidate # 412.890 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 412.890 * * [simplify]: iters left: 6 (43 enodes) 412.912 * * [simplify]: iters left: 5 (198 enodes) 412.990 * * [simplify]: Extracting #0: cost 1 inf + 0 412.990 * * [simplify]: Extracting #1: cost 3 inf + 0 412.990 * * [simplify]: Extracting #2: cost 6 inf + 0 412.990 * * [simplify]: Extracting #3: cost 46 inf + 0 412.991 * * [simplify]: Extracting #4: cost 101 inf + 0 412.992 * * [simplify]: Extracting #5: cost 138 inf + 291 412.993 * * [simplify]: Extracting #6: cost 187 inf + 1677 412.996 * * [simplify]: Extracting #7: cost 172 inf + 4439 413.002 * * [simplify]: Extracting #8: cost 108 inf + 17686 413.015 * * [simplify]: Extracting #9: cost 62 inf + 37036 413.042 * * [simplify]: Extracting #10: cost 10 inf + 71970 413.062 * * [simplify]: Extracting #11: cost 0 inf + 81682 413.080 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 413.080 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 413.081 * * * * [progress]: [ 1310 / 5906 ] simplifiying candidate # 413.081 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 413.082 * * [simplify]: iters left: 6 (48 enodes) 413.107 * * [simplify]: iters left: 5 (226 enodes) 413.156 * * [simplify]: Extracting #0: cost 1 inf + 0 413.156 * * [simplify]: Extracting #1: cost 3 inf + 0 413.156 * * [simplify]: Extracting #2: cost 10 inf + 0 413.156 * * [simplify]: Extracting #3: cost 62 inf + 0 413.157 * * [simplify]: Extracting #4: cost 115 inf + 42 413.157 * * [simplify]: Extracting #5: cost 162 inf + 207 413.158 * * [simplify]: Extracting #6: cost 213 inf + 1637 413.160 * * [simplify]: Extracting #7: cost 191 inf + 5819 413.162 * * [simplify]: Extracting #8: cost 149 inf + 12334 413.166 * * [simplify]: Extracting #9: cost 96 inf + 26302 413.177 * * [simplify]: Extracting #10: cost 51 inf + 47961 413.195 * * [simplify]: Extracting #11: cost 3 inf + 91124 413.218 * * [simplify]: Extracting #12: cost 0 inf + 95298 413.250 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))))) 413.250 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 413.250 * * * * [progress]: [ 1311 / 5906 ] simplifiying candidate # 413.251 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 413.251 * * [simplify]: iters left: 6 (43 enodes) 413.262 * * [simplify]: iters left: 5 (198 enodes) 413.311 * * [simplify]: iters left: 4 (497 enodes) 413.566 * * [simplify]: Extracting #0: cost 1 inf + 0 413.567 * * [simplify]: Extracting #1: cost 3 inf + 0 413.567 * * [simplify]: Extracting #2: cost 12 inf + 0 413.567 * * [simplify]: Extracting #3: cost 110 inf + 0 413.568 * * [simplify]: Extracting #4: cost 243 inf + 44 413.571 * * [simplify]: Extracting #5: cost 354 inf + 2405 413.577 * * [simplify]: Extracting #6: cost 465 inf + 6552 413.591 * * [simplify]: Extracting #7: cost 506 inf + 14702 413.620 * * [simplify]: Extracting #8: cost 317 inf + 81041 413.673 * * [simplify]: Extracting #9: cost 74 inf + 210071 413.750 * * [simplify]: Extracting #10: cost 4 inf + 250594 413.858 * * [simplify]: Extracting #11: cost 0 inf + 249268 413.966 * * [simplify]: Extracting #12: cost 0 inf + 249188 414.055 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))))))) 414.055 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 414.056 * * * * [progress]: [ 1312 / 5906 ] simplifiying candidate # 414.057 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 414.057 * * [simplify]: iters left: 6 (48 enodes) 414.078 * * [simplify]: iters left: 5 (226 enodes) 414.130 * * [simplify]: Extracting #0: cost 1 inf + 0 414.130 * * [simplify]: Extracting #1: cost 3 inf + 0 414.130 * * [simplify]: Extracting #2: cost 10 inf + 0 414.130 * * [simplify]: Extracting #3: cost 62 inf + 0 414.131 * * [simplify]: Extracting #4: cost 115 inf + 42 414.131 * * [simplify]: Extracting #5: cost 160 inf + 290 414.132 * * [simplify]: Extracting #6: cost 205 inf + 3089 414.134 * * [simplify]: Extracting #7: cost 189 inf + 6263 414.136 * * [simplify]: Extracting #8: cost 147 inf + 13009 414.140 * * [simplify]: Extracting #9: cost 98 inf + 25895 414.154 * * [simplify]: Extracting #10: cost 51 inf + 48223 414.174 * * [simplify]: Extracting #11: cost 3 inf + 91844 414.202 * * [simplify]: Extracting #12: cost 0 inf + 96098 414.242 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))))) 414.242 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 414.243 * * * * [progress]: [ 1313 / 5906 ] simplifiying candidate # 414.244 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 414.244 * * [simplify]: iters left: 6 (43 enodes) 414.267 * * [simplify]: iters left: 5 (198 enodes) 414.317 * * [simplify]: iters left: 4 (497 enodes) 414.561 * * [simplify]: Extracting #0: cost 1 inf + 0 414.561 * * [simplify]: Extracting #1: cost 3 inf + 0 414.561 * * [simplify]: Extracting #2: cost 12 inf + 0 414.561 * * [simplify]: Extracting #3: cost 107 inf + 0 414.562 * * [simplify]: Extracting #4: cost 251 inf + 44 414.565 * * [simplify]: Extracting #5: cost 360 inf + 2363 414.574 * * [simplify]: Extracting #6: cost 470 inf + 6512 414.579 * * [simplify]: Extracting #7: cost 512 inf + 14343 414.595 * * [simplify]: Extracting #8: cost 317 inf + 85797 414.648 * * [simplify]: Extracting #9: cost 54 inf + 222242 414.729 * * [simplify]: Extracting #10: cost 1 inf + 252901 414.814 * * [simplify]: Extracting #11: cost 0 inf + 251606 414.923 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))))) 414.923 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 414.924 * * * * [progress]: [ 1314 / 5906 ] simplifiying candidate # 414.925 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 414.925 * * [simplify]: iters left: 6 (52 enodes) 414.948 * * [simplify]: iters left: 5 (254 enodes) 415.015 * * [simplify]: Extracting #0: cost 1 inf + 0 415.015 * * [simplify]: Extracting #1: cost 3 inf + 0 415.015 * * [simplify]: Extracting #2: cost 6 inf + 0 415.015 * * [simplify]: Extracting #3: cost 56 inf + 0 415.015 * * [simplify]: Extracting #4: cost 130 inf + 0 415.016 * * [simplify]: Extracting #5: cost 210 inf + 0 415.016 * * [simplify]: Extracting #6: cost 286 inf + 762 415.018 * * [simplify]: Extracting #7: cost 239 inf + 10429 415.022 * * [simplify]: Extracting #8: cost 168 inf + 22294 415.029 * * [simplify]: Extracting #9: cost 106 inf + 43053 415.041 * * [simplify]: Extracting #10: cost 50 inf + 68409 415.072 * * [simplify]: Extracting #11: cost 10 inf + 110649 415.101 * * [simplify]: Extracting #12: cost 1 inf + 121234 415.140 * * [simplify]: Extracting #13: cost 0 inf + 123299 415.191 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 415.192 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 415.194 * * * * [progress]: [ 1315 / 5906 ] simplifiying candidate # 415.194 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 415.195 * * [simplify]: iters left: 6 (53 enodes) 415.223 * * [simplify]: iters left: 5 (263 enodes) 415.333 * * [simplify]: Extracting #0: cost 1 inf + 0 415.333 * * [simplify]: Extracting #1: cost 3 inf + 0 415.333 * * [simplify]: Extracting #2: cost 6 inf + 0 415.333 * * [simplify]: Extracting #3: cost 60 inf + 0 415.334 * * [simplify]: Extracting #4: cost 153 inf + 0 415.335 * * [simplify]: Extracting #5: cost 224 inf + 44 415.338 * * [simplify]: Extracting #6: cost 266 inf + 4315 415.343 * * [simplify]: Extracting #7: cost 232 inf + 10912 415.350 * * [simplify]: Extracting #8: cost 185 inf + 18638 415.366 * * [simplify]: Extracting #9: cost 113 inf + 44546 415.390 * * [simplify]: Extracting #10: cost 53 inf + 71151 415.431 * * [simplify]: Extracting #11: cost 5 inf + 120151 415.479 * * [simplify]: Extracting #12: cost 0 inf + 127436 415.530 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 415.530 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 415.531 * * * * [progress]: [ 1316 / 5906 ] simplifiying candidate # 415.532 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 415.532 * * [simplify]: iters left: 6 (53 enodes) 415.563 * * [simplify]: iters left: 5 (263 enodes) 415.643 * * [simplify]: Extracting #0: cost 1 inf + 0 415.643 * * [simplify]: Extracting #1: cost 3 inf + 0 415.643 * * [simplify]: Extracting #2: cost 6 inf + 0 415.643 * * [simplify]: Extracting #3: cost 62 inf + 0 415.644 * * [simplify]: Extracting #4: cost 151 inf + 0 415.645 * * [simplify]: Extracting #5: cost 219 inf + 86 415.648 * * [simplify]: Extracting #6: cost 254 inf + 5972 415.654 * * [simplify]: Extracting #7: cost 217 inf + 12794 415.667 * * [simplify]: Extracting #8: cost 147 inf + 29716 415.690 * * [simplify]: Extracting #9: cost 50 inf + 71657 415.714 * * [simplify]: Extracting #10: cost 4 inf + 118408 415.757 * * [simplify]: Extracting #11: cost 0 inf + 124028 415.806 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 415.806 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 415.807 * * * * [progress]: [ 1317 / 5906 ] simplifiying candidate # 415.807 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 415.808 * * [simplify]: iters left: 6 (47 enodes) 415.835 * * [simplify]: iters left: 5 (227 enodes) 415.910 * * [simplify]: Extracting #0: cost 1 inf + 0 415.910 * * [simplify]: Extracting #1: cost 3 inf + 0 415.911 * * [simplify]: Extracting #2: cost 6 inf + 0 415.911 * * [simplify]: Extracting #3: cost 54 inf + 0 415.911 * * [simplify]: Extracting #4: cost 119 inf + 0 415.911 * * [simplify]: Extracting #5: cost 168 inf + 44 415.912 * * [simplify]: Extracting #6: cost 227 inf + 1477 415.914 * * [simplify]: Extracting #7: cost 207 inf + 4928 415.917 * * [simplify]: Extracting #8: cost 141 inf + 18644 415.929 * * [simplify]: Extracting #9: cost 72 inf + 43403 415.962 * * [simplify]: Extracting #10: cost 14 inf + 85646 415.986 * * [simplify]: Extracting #11: cost 1 inf + 98702 416.007 * * [simplify]: Extracting #12: cost 0 inf + 100607 416.047 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) 416.047 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 416.048 * * * * [progress]: [ 1318 / 5906 ] simplifiying candidate # 416.048 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 416.049 * * [simplify]: iters left: 6 (52 enodes) 416.075 * * [simplify]: iters left: 5 (255 enodes) 416.138 * * [simplify]: Extracting #0: cost 1 inf + 0 416.138 * * [simplify]: Extracting #1: cost 3 inf + 0 416.138 * * [simplify]: Extracting #2: cost 10 inf + 0 416.139 * * [simplify]: Extracting #3: cost 74 inf + 0 416.139 * * [simplify]: Extracting #4: cost 137 inf + 1 416.139 * * [simplify]: Extracting #5: cost 189 inf + 248 416.140 * * [simplify]: Extracting #6: cost 250 inf + 2325 416.142 * * [simplify]: Extracting #7: cost 215 inf + 9488 416.147 * * [simplify]: Extracting #8: cost 159 inf + 19625 416.152 * * [simplify]: Extracting #9: cost 113 inf + 36445 416.176 * * [simplify]: Extracting #10: cost 40 inf + 72338 416.211 * * [simplify]: Extracting #11: cost 5 inf + 108133 416.235 * * [simplify]: Extracting #12: cost 1 inf + 114513 416.271 * * [simplify]: Extracting #13: cost 0 inf + 116578 416.310 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 416.310 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 416.311 * * * * [progress]: [ 1319 / 5906 ] simplifiying candidate # 416.311 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 416.312 * * [simplify]: iters left: 6 (47 enodes) 416.337 * * [simplify]: iters left: 5 (227 enodes) 416.415 * * [simplify]: Extracting #0: cost 1 inf + 0 416.415 * * [simplify]: Extracting #1: cost 3 inf + 0 416.415 * * [simplify]: Extracting #2: cost 10 inf + 0 416.415 * * [simplify]: Extracting #3: cost 66 inf + 0 416.415 * * [simplify]: Extracting #4: cost 117 inf + 44 416.416 * * [simplify]: Extracting #5: cost 153 inf + 1106 416.417 * * [simplify]: Extracting #6: cost 217 inf + 2730 416.418 * * [simplify]: Extracting #7: cost 204 inf + 5048 416.422 * * [simplify]: Extracting #8: cost 154 inf + 14675 416.434 * * [simplify]: Extracting #9: cost 100 inf + 37439 416.452 * * [simplify]: Extracting #10: cost 41 inf + 61018 416.469 * * [simplify]: Extracting #11: cost 8 inf + 84857 416.500 * * [simplify]: Extracting #12: cost 3 inf + 91622 416.538 * * [simplify]: Extracting #13: cost 1 inf + 95232 416.565 * * [simplify]: Extracting #14: cost 0 inf + 97057 416.590 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) 416.591 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 416.592 * * * * [progress]: [ 1320 / 5906 ] simplifiying candidate # 416.592 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 416.593 * * [simplify]: iters left: 6 (52 enodes) 416.621 * * [simplify]: iters left: 5 (255 enodes) 416.698 * * [simplify]: Extracting #0: cost 1 inf + 0 416.698 * * [simplify]: Extracting #1: cost 3 inf + 0 416.698 * * [simplify]: Extracting #2: cost 10 inf + 0 416.699 * * [simplify]: Extracting #3: cost 74 inf + 0 416.699 * * [simplify]: Extracting #4: cost 137 inf + 1 416.700 * * [simplify]: Extracting #5: cost 189 inf + 248 416.702 * * [simplify]: Extracting #6: cost 253 inf + 1639 416.705 * * [simplify]: Extracting #7: cost 224 inf + 6818 416.712 * * [simplify]: Extracting #8: cost 159 inf + 19785 416.726 * * [simplify]: Extracting #9: cost 112 inf + 37110 416.749 * * [simplify]: Extracting #10: cost 40 inf + 73298 416.787 * * [simplify]: Extracting #11: cost 5 inf + 109093 416.813 * * [simplify]: Extracting #12: cost 1 inf + 115473 416.848 * * [simplify]: Extracting #13: cost 0 inf + 117538 416.878 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 416.878 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 416.879 * * * * [progress]: [ 1321 / 5906 ] simplifiying candidate # 416.879 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 416.879 * * [simplify]: iters left: 6 (47 enodes) 416.891 * * [simplify]: iters left: 5 (227 enodes) 416.974 * * [simplify]: Extracting #0: cost 1 inf + 0 416.974 * * [simplify]: Extracting #1: cost 3 inf + 0 416.974 * * [simplify]: Extracting #2: cost 10 inf + 0 416.974 * * [simplify]: Extracting #3: cost 65 inf + 0 416.974 * * [simplify]: Extracting #4: cost 116 inf + 86 416.975 * * [simplify]: Extracting #5: cost 149 inf + 1674 416.976 * * [simplify]: Extracting #6: cost 216 inf + 2932 416.977 * * [simplify]: Extracting #7: cost 203 inf + 5210 416.980 * * [simplify]: Extracting #8: cost 162 inf + 11855 416.986 * * [simplify]: Extracting #9: cost 108 inf + 29853 416.997 * * [simplify]: Extracting #10: cost 43 inf + 59771 417.027 * * [simplify]: Extracting #11: cost 8 inf + 85497 417.046 * * [simplify]: Extracting #12: cost 3 inf + 92262 417.067 * * [simplify]: Extracting #13: cost 1 inf + 95872 417.101 * * [simplify]: Extracting #14: cost 0 inf + 97697 417.122 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) 417.122 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 417.123 * * * * [progress]: [ 1322 / 5906 ] simplifiying candidate # 417.123 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 417.124 * * [simplify]: iters left: 6 (48 enodes) 417.136 * * [simplify]: iters left: 5 (229 enodes) 417.228 * * [simplify]: Extracting #0: cost 1 inf + 0 417.228 * * [simplify]: Extracting #1: cost 3 inf + 0 417.228 * * [simplify]: Extracting #2: cost 6 inf + 0 417.228 * * [simplify]: Extracting #3: cost 54 inf + 0 417.228 * * [simplify]: Extracting #4: cost 120 inf + 0 417.229 * * [simplify]: Extracting #5: cost 193 inf + 0 417.230 * * [simplify]: Extracting #6: cost 257 inf + 298 417.233 * * [simplify]: Extracting #7: cost 207 inf + 7132 417.242 * * [simplify]: Extracting #8: cost 138 inf + 20966 417.253 * * [simplify]: Extracting #9: cost 90 inf + 38162 417.264 * * [simplify]: Extracting #10: cost 40 inf + 64229 417.282 * * [simplify]: Extracting #11: cost 4 inf + 103108 417.320 * * [simplify]: Extracting #12: cost 0 inf + 107688 417.361 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) 417.361 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 417.362 * * * * [progress]: [ 1323 / 5906 ] simplifiying candidate # 417.363 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 417.363 * * [simplify]: iters left: 6 (49 enodes) 417.390 * * [simplify]: iters left: 5 (238 enodes) 417.469 * * [simplify]: Extracting #0: cost 1 inf + 0 417.469 * * [simplify]: Extracting #1: cost 3 inf + 0 417.469 * * [simplify]: Extracting #2: cost 6 inf + 0 417.469 * * [simplify]: Extracting #3: cost 58 inf + 0 417.469 * * [simplify]: Extracting #4: cost 143 inf + 0 417.470 * * [simplify]: Extracting #5: cost 203 inf + 291 417.471 * * [simplify]: Extracting #6: cost 236 inf + 3833 417.473 * * [simplify]: Extracting #7: cost 199 inf + 11276 417.480 * * [simplify]: Extracting #8: cost 143 inf + 26663 417.496 * * [simplify]: Extracting #9: cost 83 inf + 50469 417.520 * * [simplify]: Extracting #10: cost 48 inf + 62785 417.544 * * [simplify]: Extracting #11: cost 10 inf + 99415 417.576 * * [simplify]: Extracting #12: cost 0 inf + 110625 417.608 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 417.608 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 417.609 * * * * [progress]: [ 1324 / 5906 ] simplifiying candidate # 417.609 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 417.610 * * [simplify]: iters left: 6 (49 enodes) 417.622 * * [simplify]: iters left: 5 (238 enodes) 417.681 * * [simplify]: Extracting #0: cost 1 inf + 0 417.681 * * [simplify]: Extracting #1: cost 3 inf + 0 417.681 * * [simplify]: Extracting #2: cost 6 inf + 0 417.682 * * [simplify]: Extracting #3: cost 60 inf + 0 417.682 * * [simplify]: Extracting #4: cost 141 inf + 0 417.683 * * [simplify]: Extracting #5: cost 200 inf + 208 417.686 * * [simplify]: Extracting #6: cost 225 inf + 5565 417.691 * * [simplify]: Extracting #7: cost 193 inf + 12189 417.700 * * [simplify]: Extracting #8: cost 136 inf + 27170 417.708 * * [simplify]: Extracting #9: cost 85 inf + 47465 417.718 * * [simplify]: Extracting #10: cost 51 inf + 59062 417.733 * * [simplify]: Extracting #11: cost 33 inf + 71992 417.771 * * [simplify]: Extracting #12: cost 2 inf + 105127 417.803 * * [simplify]: Extracting #13: cost 0 inf + 108137 417.826 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 417.826 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 417.827 * * * * [progress]: [ 1325 / 5906 ] simplifiying candidate # 417.828 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 417.828 * * [simplify]: iters left: 6 (43 enodes) 417.840 * * [simplify]: iters left: 5 (202 enodes) 417.898 * * [simplify]: Extracting #0: cost 1 inf + 0 417.898 * * [simplify]: Extracting #1: cost 3 inf + 0 417.898 * * [simplify]: Extracting #2: cost 6 inf + 0 417.898 * * [simplify]: Extracting #3: cost 52 inf + 0 417.899 * * [simplify]: Extracting #4: cost 109 inf + 0 417.899 * * [simplify]: Extracting #5: cost 147 inf + 250 417.901 * * [simplify]: Extracting #6: cost 192 inf + 2244 417.904 * * [simplify]: Extracting #7: cost 182 inf + 4237 417.908 * * [simplify]: Extracting #8: cost 137 inf + 11496 417.917 * * [simplify]: Extracting #9: cost 96 inf + 25639 417.930 * * [simplify]: Extracting #10: cost 44 inf + 46890 417.940 * * [simplify]: Extracting #11: cost 28 inf + 57056 417.955 * * [simplify]: Extracting #12: cost 3 inf + 81001 417.974 * * [simplify]: Extracting #13: cost 1 inf + 84211 417.992 * * [simplify]: Extracting #14: cost 0 inf + 85836 418.009 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) 418.009 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 418.009 * * * * [progress]: [ 1326 / 5906 ] simplifiying candidate # 418.010 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 418.010 * * [simplify]: iters left: 6 (48 enodes) 418.022 * * [simplify]: iters left: 5 (230 enodes) 418.095 * * [simplify]: Extracting #0: cost 1 inf + 0 418.096 * * [simplify]: Extracting #1: cost 3 inf + 0 418.096 * * [simplify]: Extracting #2: cost 10 inf + 0 418.096 * * [simplify]: Extracting #3: cost 72 inf + 0 418.096 * * [simplify]: Extracting #4: cost 126 inf + 42 418.097 * * [simplify]: Extracting #5: cost 173 inf + 207 418.099 * * [simplify]: Extracting #6: cost 219 inf + 2406 418.102 * * [simplify]: Extracting #7: cost 199 inf + 6142 418.106 * * [simplify]: Extracting #8: cost 163 inf + 12068 418.113 * * [simplify]: Extracting #9: cost 108 inf + 26423 418.130 * * [simplify]: Extracting #10: cost 51 inf + 55073 418.148 * * [simplify]: Extracting #11: cost 3 inf + 96652 418.176 * * [simplify]: Extracting #12: cost 0 inf + 101887 418.219 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))))))) 418.219 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 418.220 * * * * [progress]: [ 1327 / 5906 ] simplifiying candidate # 418.221 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 418.221 * * [simplify]: iters left: 6 (43 enodes) 418.242 * * [simplify]: iters left: 5 (202 enodes) 418.299 * * [simplify]: Extracting #0: cost 1 inf + 0 418.300 * * [simplify]: Extracting #1: cost 3 inf + 0 418.300 * * [simplify]: Extracting #2: cost 10 inf + 0 418.300 * * [simplify]: Extracting #3: cost 64 inf + 0 418.300 * * [simplify]: Extracting #4: cost 107 inf + 44 418.301 * * [simplify]: Extracting #5: cost 132 inf + 1634 418.303 * * [simplify]: Extracting #6: cost 185 inf + 2932 418.306 * * [simplify]: Extracting #7: cost 181 inf + 4435 418.312 * * [simplify]: Extracting #8: cost 120 inf + 17538 418.331 * * [simplify]: Extracting #9: cost 52 inf + 47329 418.357 * * [simplify]: Extracting #10: cost 5 inf + 77355 418.373 * * [simplify]: Extracting #11: cost 1 inf + 80901 418.399 * * [simplify]: Extracting #12: cost 0 inf + 82486 418.431 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) 418.431 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 418.432 * * * * [progress]: [ 1328 / 5906 ] simplifiying candidate # 418.433 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 418.433 * * [simplify]: iters left: 6 (48 enodes) 418.458 * * [simplify]: iters left: 5 (230 enodes) 418.527 * * [simplify]: Extracting #0: cost 1 inf + 0 418.527 * * [simplify]: Extracting #1: cost 3 inf + 0 418.528 * * [simplify]: Extracting #2: cost 10 inf + 0 418.528 * * [simplify]: Extracting #3: cost 72 inf + 0 418.528 * * [simplify]: Extracting #4: cost 126 inf + 42 418.529 * * [simplify]: Extracting #5: cost 171 inf + 290 418.531 * * [simplify]: Extracting #6: cost 218 inf + 2688 418.534 * * [simplify]: Extracting #7: cost 201 inf + 6180 418.539 * * [simplify]: Extracting #8: cost 164 inf + 12107 418.546 * * [simplify]: Extracting #9: cost 107 inf + 26747 418.563 * * [simplify]: Extracting #10: cost 50 inf + 55997 418.600 * * [simplify]: Extracting #11: cost 2 inf + 99397 418.640 * * [simplify]: Extracting #12: cost 0 inf + 102847 418.679 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))))))) 418.679 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 418.680 * * * * [progress]: [ 1329 / 5906 ] simplifiying candidate # 418.681 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 418.681 * * [simplify]: iters left: 6 (43 enodes) 418.703 * * [simplify]: iters left: 5 (202 enodes) 418.783 * * [simplify]: Extracting #0: cost 1 inf + 0 418.783 * * [simplify]: Extracting #1: cost 3 inf + 0 418.783 * * [simplify]: Extracting #2: cost 10 inf + 0 418.784 * * [simplify]: Extracting #3: cost 63 inf + 0 418.784 * * [simplify]: Extracting #4: cost 107 inf + 44 418.785 * * [simplify]: Extracting #5: cost 135 inf + 1308 418.787 * * [simplify]: Extracting #6: cost 185 inf + 2932 418.790 * * [simplify]: Extracting #7: cost 179 inf + 4678 418.796 * * [simplify]: Extracting #8: cost 112 inf + 20184 418.807 * * [simplify]: Extracting #9: cost 33 inf + 59025 418.823 * * [simplify]: Extracting #10: cost 3 inf + 79984 418.847 * * [simplify]: Extracting #11: cost 0 inf + 82886 418.865 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) 418.865 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 418.865 * * * * [progress]: [ 1330 / 5906 ] simplifiying candidate # 418.866 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 418.866 * * [simplify]: iters left: 6 (51 enodes) 418.883 * * [simplify]: iters left: 5 (243 enodes) 418.981 * * [simplify]: Extracting #0: cost 1 inf + 0 418.981 * * [simplify]: Extracting #1: cost 3 inf + 0 418.981 * * [simplify]: Extracting #2: cost 6 inf + 0 418.981 * * [simplify]: Extracting #3: cost 56 inf + 0 418.982 * * [simplify]: Extracting #4: cost 130 inf + 0 418.983 * * [simplify]: Extracting #5: cost 207 inf + 0 418.985 * * [simplify]: Extracting #6: cost 259 inf + 2478 418.991 * * [simplify]: Extracting #7: cost 189 inf + 21070 419.005 * * [simplify]: Extracting #8: cost 129 inf + 41784 419.025 * * [simplify]: Extracting #9: cost 94 inf + 47649 419.046 * * [simplify]: Extracting #10: cost 57 inf + 60823 419.064 * * [simplify]: Extracting #11: cost 34 inf + 77638 419.084 * * [simplify]: Extracting #12: cost 4 inf + 112868 419.130 * * [simplify]: Extracting #13: cost 1 inf + 118143 419.177 * * [simplify]: Extracting #14: cost 0 inf + 120168 419.227 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 419.227 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 419.228 * * * * [progress]: [ 1331 / 5906 ] simplifiying candidate # 419.228 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 419.229 * * [simplify]: iters left: 6 (52 enodes) 419.255 * * [simplify]: iters left: 5 (252 enodes) 419.325 * * [simplify]: Extracting #0: cost 1 inf + 0 419.325 * * [simplify]: Extracting #1: cost 3 inf + 0 419.325 * * [simplify]: Extracting #2: cost 6 inf + 0 419.325 * * [simplify]: Extracting #3: cost 60 inf + 0 419.326 * * [simplify]: Extracting #4: cost 153 inf + 0 419.327 * * [simplify]: Extracting #5: cost 221 inf + 44 419.330 * * [simplify]: Extracting #6: cost 238 inf + 6144 419.337 * * [simplify]: Extracting #7: cost 179 inf + 18041 419.344 * * [simplify]: Extracting #8: cost 143 inf + 30356 419.353 * * [simplify]: Extracting #9: cost 91 inf + 53197 419.365 * * [simplify]: Extracting #10: cost 49 inf + 70480 419.393 * * [simplify]: Extracting #11: cost 8 inf + 114145 419.422 * * [simplify]: Extracting #12: cost 1 inf + 122320 419.471 * * [simplify]: Extracting #13: cost 0 inf + 124185 419.497 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* phi1 phi1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi2 phi2)))) (cbrt (+ lambda1 lambda2)))))) 419.498 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* phi1 phi1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi2 phi2)))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 419.498 * * * * [progress]: [ 1332 / 5906 ] simplifiying candidate # 419.499 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 419.499 * * [simplify]: iters left: 6 (52 enodes) 419.519 * * [simplify]: iters left: 5 (252 enodes) 419.626 * * [simplify]: Extracting #0: cost 1 inf + 0 419.626 * * [simplify]: Extracting #1: cost 3 inf + 0 419.626 * * [simplify]: Extracting #2: cost 6 inf + 0 419.626 * * [simplify]: Extracting #3: cost 62 inf + 0 419.627 * * [simplify]: Extracting #4: cost 151 inf + 0 419.628 * * [simplify]: Extracting #5: cost 217 inf + 44 419.630 * * [simplify]: Extracting #6: cost 242 inf + 5250 419.637 * * [simplify]: Extracting #7: cost 183 inf + 15181 419.648 * * [simplify]: Extracting #8: cost 132 inf + 34540 419.657 * * [simplify]: Extracting #9: cost 91 inf + 52291 419.668 * * [simplify]: Extracting #10: cost 50 inf + 68087 419.704 * * [simplify]: Extracting #11: cost 8 inf + 111697 419.751 * * [simplify]: Extracting #12: cost 1 inf + 120792 419.800 * * [simplify]: Extracting #13: cost 0 inf + 122937 419.849 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2)))))) 419.850 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 419.851 * * * * [progress]: [ 1333 / 5906 ] simplifiying candidate # 419.851 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 419.852 * * [simplify]: iters left: 6 (46 enodes) 419.875 * * [simplify]: iters left: 5 (216 enodes) 419.967 * * [simplify]: Extracting #0: cost 1 inf + 0 419.967 * * [simplify]: Extracting #1: cost 3 inf + 0 419.967 * * [simplify]: Extracting #2: cost 6 inf + 0 419.967 * * [simplify]: Extracting #3: cost 54 inf + 0 419.968 * * [simplify]: Extracting #4: cost 119 inf + 0 419.968 * * [simplify]: Extracting #5: cost 164 inf + 85 419.970 * * [simplify]: Extracting #6: cost 205 inf + 2452 419.974 * * [simplify]: Extracting #7: cost 167 inf + 8584 419.983 * * [simplify]: Extracting #8: cost 109 inf + 29211 420.001 * * [simplify]: Extracting #9: cost 52 inf + 53402 420.031 * * [simplify]: Extracting #10: cost 11 inf + 84041 420.071 * * [simplify]: Extracting #11: cost 1 inf + 95611 420.110 * * [simplify]: Extracting #12: cost 0 inf + 97476 420.149 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))))) 420.149 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 420.150 * * * * [progress]: [ 1334 / 5906 ] simplifiying candidate # 420.150 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 420.151 * * [simplify]: iters left: 6 (51 enodes) 420.176 * * [simplify]: iters left: 5 (244 enodes) 420.247 * * [simplify]: Extracting #0: cost 1 inf + 0 420.247 * * [simplify]: Extracting #1: cost 3 inf + 0 420.247 * * [simplify]: Extracting #2: cost 10 inf + 0 420.247 * * [simplify]: Extracting #3: cost 74 inf + 0 420.247 * * [simplify]: Extracting #4: cost 137 inf + 1 420.248 * * [simplify]: Extracting #5: cost 187 inf + 207 420.249 * * [simplify]: Extracting #6: cost 231 inf + 2496 420.251 * * [simplify]: Extracting #7: cost 176 inf + 12451 420.255 * * [simplify]: Extracting #8: cost 137 inf + 26873 420.262 * * [simplify]: Extracting #9: cost 89 inf + 46209 420.273 * * [simplify]: Extracting #10: cost 52 inf + 61387 420.305 * * [simplify]: Extracting #11: cost 15 inf + 95552 420.350 * * [simplify]: Extracting #12: cost 1 inf + 111782 420.378 * * [simplify]: Extracting #13: cost 0 inf + 113407 420.401 * * [simplify]: Extracting #14: cost 0 inf + 113367 420.436 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))))))) 420.436 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 420.437 * * * * [progress]: [ 1335 / 5906 ] simplifiying candidate # 420.437 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 420.438 * * [simplify]: iters left: 6 (46 enodes) 420.462 * * [simplify]: iters left: 5 (216 enodes) 420.539 * * [simplify]: Extracting #0: cost 1 inf + 0 420.539 * * [simplify]: Extracting #1: cost 3 inf + 0 420.540 * * [simplify]: Extracting #2: cost 10 inf + 0 420.540 * * [simplify]: Extracting #3: cost 66 inf + 0 420.540 * * [simplify]: Extracting #4: cost 116 inf + 86 420.541 * * [simplify]: Extracting #5: cost 146 inf + 1634 420.542 * * [simplify]: Extracting #6: cost 197 inf + 3302 420.543 * * [simplify]: Extracting #7: cost 169 inf + 7900 420.548 * * [simplify]: Extracting #8: cost 100 inf + 30989 420.558 * * [simplify]: Extracting #9: cost 40 inf + 59272 420.580 * * [simplify]: Extracting #10: cost 4 inf + 91492 420.611 * * [simplify]: Extracting #11: cost 0 inf + 95246 420.631 * * [simplify]: Extracting #12: cost 0 inf + 95206 420.666 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))))) 420.666 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 420.666 * * * * [progress]: [ 1336 / 5906 ] simplifiying candidate # 420.667 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 420.667 * * [simplify]: iters left: 6 (51 enodes) 420.680 * * [simplify]: iters left: 5 (244 enodes) 420.736 * * [simplify]: Extracting #0: cost 1 inf + 0 420.736 * * [simplify]: Extracting #1: cost 3 inf + 0 420.736 * * [simplify]: Extracting #2: cost 10 inf + 0 420.736 * * [simplify]: Extracting #3: cost 74 inf + 0 420.736 * * [simplify]: Extracting #4: cost 137 inf + 1 420.737 * * [simplify]: Extracting #5: cost 187 inf + 207 420.738 * * [simplify]: Extracting #6: cost 229 inf + 2903 420.740 * * [simplify]: Extracting #7: cost 171 inf + 14065 420.745 * * [simplify]: Extracting #8: cost 136 inf + 27677 420.754 * * [simplify]: Extracting #9: cost 88 inf + 47272 420.774 * * [simplify]: Extracting #10: cost 51 inf + 62772 420.809 * * [simplify]: Extracting #11: cost 8 inf + 103207 420.854 * * [simplify]: Extracting #12: cost 1 inf + 112742 420.878 * * [simplify]: Extracting #13: cost 0 inf + 114367 420.919 * * [simplify]: Extracting #14: cost 0 inf + 114327 420.943 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 420.943 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 420.944 * * * * [progress]: [ 1337 / 5906 ] simplifiying candidate # 420.944 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 420.944 * * [simplify]: iters left: 6 (46 enodes) 420.955 * * [simplify]: iters left: 5 (216 enodes) 421.013 * * [simplify]: Extracting #0: cost 1 inf + 0 421.013 * * [simplify]: Extracting #1: cost 3 inf + 0 421.013 * * [simplify]: Extracting #2: cost 10 inf + 0 421.013 * * [simplify]: Extracting #3: cost 65 inf + 0 421.013 * * [simplify]: Extracting #4: cost 117 inf + 44 421.014 * * [simplify]: Extracting #5: cost 150 inf + 1026 421.015 * * [simplify]: Extracting #6: cost 197 inf + 3302 421.017 * * [simplify]: Extracting #7: cost 166 inf + 8185 421.027 * * [simplify]: Extracting #8: cost 99 inf + 32072 421.046 * * [simplify]: Extracting #9: cost 40 inf + 59472 421.071 * * [simplify]: Extracting #10: cost 4 inf + 91492 421.090 * * [simplify]: Extracting #11: cost 0 inf + 95526 421.110 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))))))) 421.110 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 421.110 * * * * [progress]: [ 1338 / 5906 ] simplifiying candidate # 421.111 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 421.111 * * [simplify]: iters left: 6 (50 enodes) 421.126 * * [simplify]: iters left: 5 (238 enodes) 421.195 * * [simplify]: Extracting #0: cost 1 inf + 0 421.195 * * [simplify]: Extracting #1: cost 3 inf + 0 421.195 * * [simplify]: Extracting #2: cost 6 inf + 0 421.195 * * [simplify]: Extracting #3: cost 57 inf + 0 421.195 * * [simplify]: Extracting #4: cost 128 inf + 0 421.196 * * [simplify]: Extracting #5: cost 199 inf + 0 421.196 * * [simplify]: Extracting #6: cost 265 inf + 1728 421.198 * * [simplify]: Extracting #7: cost 228 inf + 7847 421.201 * * [simplify]: Extracting #8: cost 160 inf + 19425 421.207 * * [simplify]: Extracting #9: cost 112 inf + 34768 421.217 * * [simplify]: Extracting #10: cost 56 inf + 59845 421.236 * * [simplify]: Extracting #11: cost 6 inf + 107855 421.260 * * [simplify]: Extracting #12: cost 0 inf + 115485 421.293 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 421.293 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 421.294 * * * * [progress]: [ 1339 / 5906 ] simplifiying candidate # 421.295 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 421.295 * * [simplify]: iters left: 6 (51 enodes) 421.322 * * [simplify]: iters left: 5 (247 enodes) 421.427 * * [simplify]: Extracting #0: cost 1 inf + 0 421.427 * * [simplify]: Extracting #1: cost 3 inf + 0 421.427 * * [simplify]: Extracting #2: cost 6 inf + 0 421.428 * * [simplify]: Extracting #3: cost 61 inf + 0 421.428 * * [simplify]: Extracting #4: cost 151 inf + 0 421.429 * * [simplify]: Extracting #5: cost 213 inf + 44 421.431 * * [simplify]: Extracting #6: cost 250 inf + 3550 421.436 * * [simplify]: Extracting #7: cost 221 inf + 9135 421.442 * * [simplify]: Extracting #8: cost 163 inf + 20477 421.454 * * [simplify]: Extracting #9: cost 100 inf + 43342 421.469 * * [simplify]: Extracting #10: cost 61 inf + 62278 421.496 * * [simplify]: Extracting #11: cost 33 inf + 82237 421.537 * * [simplify]: Extracting #12: cost 6 inf + 109632 421.586 * * [simplify]: Extracting #13: cost 1 inf + 116517 421.620 * * [simplify]: Extracting #14: cost 0 inf + 118422 421.660 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 421.660 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 421.661 * * * * [progress]: [ 1340 / 5906 ] simplifiying candidate # 421.662 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 421.662 * * [simplify]: iters left: 6 (51 enodes) 421.678 * * [simplify]: iters left: 5 (247 enodes) 421.736 * * [simplify]: Extracting #0: cost 1 inf + 0 421.736 * * [simplify]: Extracting #1: cost 3 inf + 0 421.736 * * [simplify]: Extracting #2: cost 6 inf + 0 421.737 * * [simplify]: Extracting #3: cost 63 inf + 0 421.737 * * [simplify]: Extracting #4: cost 149 inf + 0 421.738 * * [simplify]: Extracting #5: cost 209 inf + 44 421.741 * * [simplify]: Extracting #6: cost 243 inf + 3995 421.746 * * [simplify]: Extracting #7: cost 207 inf + 10757 421.753 * * [simplify]: Extracting #8: cost 160 inf + 19285 421.761 * * [simplify]: Extracting #9: cost 105 inf + 40113 421.771 * * [simplify]: Extracting #10: cost 62 inf + 59744 421.793 * * [simplify]: Extracting #11: cost 31 inf + 81079 421.836 * * [simplify]: Extracting #12: cost 5 inf + 106849 421.882 * * [simplify]: Extracting #13: cost 1 inf + 112469 421.917 * * [simplify]: Extracting #14: cost 0 inf + 114334 421.945 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 421.945 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 421.946 * * * * [progress]: [ 1341 / 5906 ] simplifiying candidate # 421.947 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 421.947 * * [simplify]: iters left: 6 (45 enodes) 421.973 * * [simplify]: iters left: 5 (211 enodes) 422.056 * * [simplify]: Extracting #0: cost 1 inf + 0 422.056 * * [simplify]: Extracting #1: cost 3 inf + 0 422.056 * * [simplify]: Extracting #2: cost 6 inf + 0 422.056 * * [simplify]: Extracting #3: cost 55 inf + 0 422.056 * * [simplify]: Extracting #4: cost 117 inf + 0 422.057 * * [simplify]: Extracting #5: cost 157 inf + 44 422.059 * * [simplify]: Extracting #6: cost 213 inf + 868 422.061 * * [simplify]: Extracting #7: cost 195 inf + 3793 422.066 * * [simplify]: Extracting #8: cost 156 inf + 9193 422.077 * * [simplify]: Extracting #9: cost 101 inf + 30321 422.105 * * [simplify]: Extracting #10: cost 10 inf + 83425 422.143 * * [simplify]: Extracting #11: cost 0 inf + 93393 422.181 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))))) 422.181 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 422.182 * * * * [progress]: [ 1342 / 5906 ] simplifiying candidate # 422.183 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 422.183 * * [simplify]: iters left: 6 (50 enodes) 422.203 * * [simplify]: iters left: 5 (239 enodes) 422.275 * * [simplify]: Extracting #0: cost 1 inf + 0 422.275 * * [simplify]: Extracting #1: cost 3 inf + 0 422.275 * * [simplify]: Extracting #2: cost 10 inf + 0 422.275 * * [simplify]: Extracting #3: cost 75 inf + 0 422.276 * * [simplify]: Extracting #4: cost 142 inf + 1 422.276 * * [simplify]: Extracting #5: cost 185 inf + 249 422.277 * * [simplify]: Extracting #6: cost 236 inf + 2929 422.279 * * [simplify]: Extracting #7: cost 208 inf + 7433 422.282 * * [simplify]: Extracting #8: cost 166 inf + 15603 422.287 * * [simplify]: Extracting #9: cost 112 inf + 33915 422.299 * * [simplify]: Extracting #10: cost 31 inf + 80585 422.331 * * [simplify]: Extracting #11: cost 4 inf + 107679 422.373 * * [simplify]: Extracting #12: cost 1 inf + 112274 422.419 * * [simplify]: Extracting #13: cost 0 inf + 114099 422.452 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))) 422.452 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 422.453 * * * * [progress]: [ 1343 / 5906 ] simplifiying candidate # 422.453 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 422.453 * * [simplify]: iters left: 6 (45 enodes) 422.465 * * [simplify]: iters left: 5 (211 enodes) 422.535 * * [simplify]: Extracting #0: cost 1 inf + 0 422.535 * * [simplify]: Extracting #1: cost 3 inf + 0 422.535 * * [simplify]: Extracting #2: cost 10 inf + 0 422.535 * * [simplify]: Extracting #3: cost 67 inf + 0 422.535 * * [simplify]: Extracting #4: cost 121 inf + 86 422.536 * * [simplify]: Extracting #5: cost 146 inf + 1553 422.537 * * [simplify]: Extracting #6: cost 204 inf + 2932 422.538 * * [simplify]: Extracting #7: cost 199 inf + 4275 422.540 * * [simplify]: Extracting #8: cost 169 inf + 7936 422.544 * * [simplify]: Extracting #9: cost 119 inf + 24285 422.556 * * [simplify]: Extracting #10: cost 24 inf + 72507 422.574 * * [simplify]: Extracting #11: cost 2 inf + 91088 422.601 * * [simplify]: Extracting #12: cost 0 inf + 94218 422.625 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2))) (+ phi1 phi2))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 422.625 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2))) (+ phi1 phi2))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 422.625 * * * * [progress]: [ 1344 / 5906 ] simplifiying candidate # 422.625 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 422.626 * * [simplify]: iters left: 6 (50 enodes) 422.641 * * [simplify]: iters left: 5 (239 enodes) 422.703 * * [simplify]: Extracting #0: cost 1 inf + 0 422.703 * * [simplify]: Extracting #1: cost 3 inf + 0 422.703 * * [simplify]: Extracting #2: cost 10 inf + 0 422.703 * * [simplify]: Extracting #3: cost 75 inf + 0 422.703 * * [simplify]: Extracting #4: cost 142 inf + 1 422.704 * * [simplify]: Extracting #5: cost 186 inf + 207 422.705 * * [simplify]: Extracting #6: cost 238 inf + 2244 422.706 * * [simplify]: Extracting #7: cost 207 inf + 7564 422.709 * * [simplify]: Extracting #8: cost 166 inf + 15763 422.717 * * [simplify]: Extracting #9: cost 110 inf + 34564 422.744 * * [simplify]: Extracting #10: cost 32 inf + 80440 422.780 * * [simplify]: Extracting #11: cost 4 inf + 108639 422.810 * * [simplify]: Extracting #12: cost 1 inf + 113234 422.832 * * [simplify]: Extracting #13: cost 0 inf + 115059 422.854 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))) 422.854 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 422.854 * * * * [progress]: [ 1345 / 5906 ] simplifiying candidate # 422.855 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 422.855 * * [simplify]: iters left: 6 (45 enodes) 422.868 * * [simplify]: iters left: 5 (211 enodes) 422.920 * * [simplify]: Extracting #0: cost 1 inf + 0 422.920 * * [simplify]: Extracting #1: cost 3 inf + 0 422.920 * * [simplify]: Extracting #2: cost 10 inf + 0 422.921 * * [simplify]: Extracting #3: cost 66 inf + 0 422.921 * * [simplify]: Extracting #4: cost 122 inf + 44 422.922 * * [simplify]: Extracting #5: cost 147 inf + 1310 422.925 * * [simplify]: Extracting #6: cost 204 inf + 2932 422.927 * * [simplify]: Extracting #7: cost 199 inf + 4274 422.931 * * [simplify]: Extracting #8: cost 169 inf + 8016 422.940 * * [simplify]: Extracting #9: cost 113 inf + 25661 422.959 * * [simplify]: Extracting #10: cost 34 inf + 65204 422.995 * * [simplify]: Extracting #11: cost 2 inf + 91488 423.016 * * [simplify]: Extracting #12: cost 0 inf + 94618 423.035 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2))) (+ phi1 phi2))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) 423.035 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2))) (+ phi1 phi2))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 423.036 * * * * [progress]: [ 1346 / 5906 ] simplifiying candidate # 423.036 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 423.036 * * [simplify]: iters left: 6 (51 enodes) 423.057 * * [simplify]: iters left: 5 (243 enodes) 423.115 * * [simplify]: Extracting #0: cost 1 inf + 0 423.115 * * [simplify]: Extracting #1: cost 3 inf + 0 423.115 * * [simplify]: Extracting #2: cost 6 inf + 0 423.116 * * [simplify]: Extracting #3: cost 56 inf + 0 423.116 * * [simplify]: Extracting #4: cost 130 inf + 0 423.117 * * [simplify]: Extracting #5: cost 208 inf + 0 423.119 * * [simplify]: Extracting #6: cost 258 inf + 2720 423.126 * * [simplify]: Extracting #7: cost 176 inf + 23577 423.140 * * [simplify]: Extracting #8: cost 125 inf + 42674 423.156 * * [simplify]: Extracting #9: cost 89 inf + 49894 423.174 * * [simplify]: Extracting #10: cost 54 inf + 62978 423.188 * * [simplify]: Extracting #11: cost 31 inf + 82313 423.221 * * [simplify]: Extracting #12: cost 2 inf + 117118 423.269 * * [simplify]: Extracting #13: cost 0 inf + 120408 423.313 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) 423.313 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 423.313 * * * * [progress]: [ 1347 / 5906 ] simplifiying candidate # 423.314 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 423.314 * * [simplify]: iters left: 6 (52 enodes) 423.327 * * [simplify]: iters left: 5 (252 enodes) 423.413 * * [simplify]: Extracting #0: cost 1 inf + 0 423.413 * * [simplify]: Extracting #1: cost 3 inf + 0 423.413 * * [simplify]: Extracting #2: cost 6 inf + 0 423.413 * * [simplify]: Extracting #3: cost 60 inf + 0 423.413 * * [simplify]: Extracting #4: cost 153 inf + 0 423.414 * * [simplify]: Extracting #5: cost 222 inf + 44 423.415 * * [simplify]: Extracting #6: cost 248 inf + 4443 423.418 * * [simplify]: Extracting #7: cost 201 inf + 12309 423.422 * * [simplify]: Extracting #8: cost 154 inf + 23726 423.429 * * [simplify]: Extracting #9: cost 101 inf + 44680 423.448 * * [simplify]: Extracting #10: cost 54 inf + 67515 423.489 * * [simplify]: Extracting #11: cost 8 inf + 114065 423.535 * * [simplify]: Extracting #12: cost 1 inf + 122480 423.580 * * [simplify]: Extracting #13: cost 0 inf + 124265 423.605 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2)))))) 423.605 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 423.606 * * * * [progress]: [ 1348 / 5906 ] simplifiying candidate # 423.607 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 423.607 * * [simplify]: iters left: 6 (52 enodes) 423.636 * * [simplify]: iters left: 5 (252 enodes) 423.738 * * [simplify]: Extracting #0: cost 1 inf + 0 423.738 * * [simplify]: Extracting #1: cost 3 inf + 0 423.738 * * [simplify]: Extracting #2: cost 6 inf + 0 423.739 * * [simplify]: Extracting #3: cost 62 inf + 0 423.739 * * [simplify]: Extracting #4: cost 151 inf + 0 423.740 * * [simplify]: Extracting #5: cost 218 inf + 44 423.743 * * [simplify]: Extracting #6: cost 244 inf + 4244 423.749 * * [simplify]: Extracting #7: cost 184 inf + 15059 423.763 * * [simplify]: Extracting #8: cost 108 inf + 41871 423.784 * * [simplify]: Extracting #9: cost 50 inf + 68127 423.804 * * [simplify]: Extracting #10: cost 9 inf + 109752 423.848 * * [simplify]: Extracting #11: cost 1 inf + 119752 423.897 * * [simplify]: Extracting #12: cost 0 inf + 121857 423.945 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2)))))) 423.945 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 423.946 * * * * [progress]: [ 1349 / 5906 ] simplifiying candidate # 423.946 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 423.947 * * [simplify]: iters left: 6 (46 enodes) 423.970 * * [simplify]: iters left: 5 (216 enodes) 424.053 * * [simplify]: Extracting #0: cost 1 inf + 0 424.053 * * [simplify]: Extracting #1: cost 3 inf + 0 424.053 * * [simplify]: Extracting #2: cost 6 inf + 0 424.053 * * [simplify]: Extracting #3: cost 54 inf + 0 424.053 * * [simplify]: Extracting #4: cost 119 inf + 0 424.054 * * [simplify]: Extracting #5: cost 165 inf + 85 424.056 * * [simplify]: Extracting #6: cost 205 inf + 2292 424.059 * * [simplify]: Extracting #7: cost 168 inf + 8462 424.067 * * [simplify]: Extracting #8: cost 132 inf + 21361 424.083 * * [simplify]: Extracting #9: cost 88 inf + 40043 424.099 * * [simplify]: Extracting #10: cost 44 inf + 55589 424.115 * * [simplify]: Extracting #11: cost 10 inf + 86226 424.137 * * [simplify]: Extracting #12: cost 1 inf + 96971 424.159 * * [simplify]: Extracting #13: cost 0 inf + 98876 424.193 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) 424.193 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 424.194 * * * * [progress]: [ 1350 / 5906 ] simplifiying candidate # 424.195 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 424.196 * * [simplify]: iters left: 6 (51 enodes) 424.224 * * [simplify]: iters left: 5 (244 enodes) 424.291 * * [simplify]: Extracting #0: cost 1 inf + 0 424.291 * * [simplify]: Extracting #1: cost 3 inf + 0 424.291 * * [simplify]: Extracting #2: cost 10 inf + 0 424.291 * * [simplify]: Extracting #3: cost 74 inf + 0 424.292 * * [simplify]: Extracting #4: cost 137 inf + 1 424.293 * * [simplify]: Extracting #5: cost 189 inf + 165 424.295 * * [simplify]: Extracting #6: cost 233 inf + 2172 424.299 * * [simplify]: Extracting #7: cost 176 inf + 13053 424.304 * * [simplify]: Extracting #8: cost 137 inf + 26873 424.311 * * [simplify]: Extracting #9: cost 94 inf + 43322 424.324 * * [simplify]: Extracting #10: cost 58 inf + 57757 424.337 * * [simplify]: Extracting #11: cost 30 inf + 77377 424.359 * * [simplify]: Extracting #12: cost 3 inf + 108612 424.395 * * [simplify]: Extracting #13: cost 1 inf + 112662 424.419 * * [simplify]: Extracting #14: cost 0 inf + 114727 424.465 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (cbrt (+ lambda1 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) 424.465 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (cbrt (+ lambda1 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 424.466 * * * * [progress]: [ 1351 / 5906 ] simplifiying candidate # 424.467 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 424.467 * * [simplify]: iters left: 6 (46 enodes) 424.481 * * [simplify]: iters left: 5 (216 enodes) 424.538 * * [simplify]: Extracting #0: cost 1 inf + 0 424.538 * * [simplify]: Extracting #1: cost 3 inf + 0 424.538 * * [simplify]: Extracting #2: cost 10 inf + 0 424.538 * * [simplify]: Extracting #3: cost 66 inf + 0 424.539 * * [simplify]: Extracting #4: cost 117 inf + 44 424.540 * * [simplify]: Extracting #5: cost 154 inf + 740 424.542 * * [simplify]: Extracting #6: cost 201 inf + 2654 424.545 * * [simplify]: Extracting #7: cost 169 inf + 7820 424.555 * * [simplify]: Extracting #8: cost 102 inf + 30297 424.576 * * [simplify]: Extracting #9: cost 42 inf + 58022 424.596 * * [simplify]: Extracting #10: cost 5 inf + 89107 424.618 * * [simplify]: Extracting #11: cost 0 inf + 94886 424.657 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))))))) 424.657 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 424.658 * * * * [progress]: [ 1352 / 5906 ] simplifiying candidate # 424.658 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 424.659 * * [simplify]: iters left: 6 (51 enodes) 424.684 * * [simplify]: iters left: 5 (244 enodes) 424.756 * * [simplify]: Extracting #0: cost 1 inf + 0 424.756 * * [simplify]: Extracting #1: cost 3 inf + 0 424.756 * * [simplify]: Extracting #2: cost 10 inf + 0 424.757 * * [simplify]: Extracting #3: cost 74 inf + 0 424.757 * * [simplify]: Extracting #4: cost 137 inf + 1 424.758 * * [simplify]: Extracting #5: cost 188 inf + 207 424.760 * * [simplify]: Extracting #6: cost 225 inf + 3550 424.766 * * [simplify]: Extracting #7: cost 170 inf + 15231 424.775 * * [simplify]: Extracting #8: cost 139 inf + 26238 424.790 * * [simplify]: Extracting #9: cost 95 inf + 43978 424.803 * * [simplify]: Extracting #10: cost 57 inf + 59142 424.818 * * [simplify]: Extracting #11: cost 30 inf + 78337 424.846 * * [simplify]: Extracting #12: cost 3 inf + 109572 424.884 * * [simplify]: Extracting #13: cost 1 inf + 113622 424.908 * * [simplify]: Extracting #14: cost 0 inf + 115687 424.954 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (cbrt (+ lambda1 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) 424.954 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (cbrt (+ lambda1 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 424.955 * * * * [progress]: [ 1353 / 5906 ] simplifiying candidate # 424.956 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 424.956 * * [simplify]: iters left: 6 (46 enodes) 424.971 * * [simplify]: iters left: 5 (216 enodes) 425.035 * * [simplify]: Extracting #0: cost 1 inf + 0 425.035 * * [simplify]: Extracting #1: cost 3 inf + 0 425.035 * * [simplify]: Extracting #2: cost 10 inf + 0 425.035 * * [simplify]: Extracting #3: cost 65 inf + 0 425.035 * * [simplify]: Extracting #4: cost 117 inf + 44 425.036 * * [simplify]: Extracting #5: cost 152 inf + 944 425.037 * * [simplify]: Extracting #6: cost 198 inf + 3140 425.039 * * [simplify]: Extracting #7: cost 166 inf + 8185 425.044 * * [simplify]: Extracting #8: cost 94 inf + 34977 425.054 * * [simplify]: Extracting #9: cost 35 inf + 62411 425.085 * * [simplify]: Extracting #10: cost 4 inf + 91212 425.112 * * [simplify]: Extracting #11: cost 0 inf + 95166 425.134 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 425.134 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 425.135 * * * * [progress]: [ 1354 / 5906 ] simplifiying candidate # 425.135 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 425.136 * * [simplify]: iters left: 6 (52 enodes) 425.155 * * [simplify]: iters left: 5 (254 enodes) 425.237 * * [simplify]: Extracting #0: cost 1 inf + 0 425.237 * * [simplify]: Extracting #1: cost 3 inf + 0 425.237 * * [simplify]: Extracting #2: cost 6 inf + 0 425.237 * * [simplify]: Extracting #3: cost 56 inf + 0 425.237 * * [simplify]: Extracting #4: cost 130 inf + 0 425.238 * * [simplify]: Extracting #5: cost 211 inf + 0 425.239 * * [simplify]: Extracting #6: cost 300 inf + 513 425.241 * * [simplify]: Extracting #7: cost 229 inf + 13625 425.247 * * [simplify]: Extracting #8: cost 144 inf + 37282 425.256 * * [simplify]: Extracting #9: cost 98 inf + 53904 425.269 * * [simplify]: Extracting #10: cost 52 inf + 73358 425.291 * * [simplify]: Extracting #11: cost 12 inf + 115038 425.330 * * [simplify]: Extracting #12: cost 0 inf + 131418 425.370 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 425.370 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 425.370 * * * * [progress]: [ 1355 / 5906 ] simplifiying candidate # 425.371 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 425.371 * * [simplify]: iters left: 6 (53 enodes) 425.385 * * [simplify]: iters left: 5 (263 enodes) 425.445 * * [simplify]: Extracting #0: cost 1 inf + 0 425.445 * * [simplify]: Extracting #1: cost 3 inf + 0 425.445 * * [simplify]: Extracting #2: cost 6 inf + 0 425.445 * * [simplify]: Extracting #3: cost 60 inf + 0 425.446 * * [simplify]: Extracting #4: cost 153 inf + 0 425.446 * * [simplify]: Extracting #5: cost 224 inf + 86 425.448 * * [simplify]: Extracting #6: cost 279 inf + 3917 425.451 * * [simplify]: Extracting #7: cost 224 inf + 14538 425.457 * * [simplify]: Extracting #8: cost 140 inf + 38815 425.470 * * [simplify]: Extracting #9: cost 55 inf + 75266 425.513 * * [simplify]: Extracting #10: cost 12 inf + 117215 425.543 * * [simplify]: Extracting #11: cost 0 inf + 132875 425.584 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 425.584 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 425.585 * * * * [progress]: [ 1356 / 5906 ] simplifiying candidate # 425.586 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 425.586 * * [simplify]: iters left: 6 (53 enodes) 425.611 * * [simplify]: iters left: 5 (263 enodes) 425.684 * * [simplify]: Extracting #0: cost 1 inf + 0 425.684 * * [simplify]: Extracting #1: cost 3 inf + 0 425.684 * * [simplify]: Extracting #2: cost 6 inf + 0 425.684 * * [simplify]: Extracting #3: cost 62 inf + 0 425.685 * * [simplify]: Extracting #4: cost 151 inf + 0 425.685 * * [simplify]: Extracting #5: cost 220 inf + 86 425.687 * * [simplify]: Extracting #6: cost 276 inf + 3716 425.690 * * [simplify]: Extracting #7: cost 226 inf + 13436 425.695 * * [simplify]: Extracting #8: cost 160 inf + 30729 425.704 * * [simplify]: Extracting #9: cost 92 inf + 58603 425.730 * * [simplify]: Extracting #10: cost 42 inf + 83377 425.753 * * [simplify]: Extracting #11: cost 9 inf + 121522 425.800 * * [simplify]: Extracting #12: cost 0 inf + 133187 425.838 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 425.838 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 425.839 * * * * [progress]: [ 1357 / 5906 ] simplifiying candidate # 425.839 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 425.839 * * [simplify]: iters left: 6 (47 enodes) 425.853 * * [simplify]: iters left: 5 (227 enodes) 425.909 * * [simplify]: Extracting #0: cost 1 inf + 0 425.909 * * [simplify]: Extracting #1: cost 3 inf + 0 425.909 * * [simplify]: Extracting #2: cost 6 inf + 0 425.909 * * [simplify]: Extracting #3: cost 54 inf + 0 425.909 * * [simplify]: Extracting #4: cost 119 inf + 0 425.910 * * [simplify]: Extracting #5: cost 169 inf + 44 425.912 * * [simplify]: Extracting #6: cost 241 inf + 1076 425.915 * * [simplify]: Extracting #7: cost 196 inf + 9549 425.923 * * [simplify]: Extracting #8: cost 148 inf + 19932 425.937 * * [simplify]: Extracting #9: cost 101 inf + 41772 425.962 * * [simplify]: Extracting #10: cost 49 inf + 61887 425.997 * * [simplify]: Extracting #11: cost 6 inf + 99416 426.038 * * [simplify]: Extracting #12: cost 1 inf + 106341 426.081 * * [simplify]: Extracting #13: cost 0 inf + 108246 426.125 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 426.125 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 426.127 * * * * [progress]: [ 1358 / 5906 ] simplifiying candidate # 426.127 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 426.128 * * [simplify]: iters left: 6 (52 enodes) 426.156 * * [simplify]: iters left: 5 (255 enodes) 426.256 * * [simplify]: Extracting #0: cost 1 inf + 0 426.256 * * [simplify]: Extracting #1: cost 3 inf + 0 426.256 * * [simplify]: Extracting #2: cost 10 inf + 0 426.257 * * [simplify]: Extracting #3: cost 74 inf + 0 426.257 * * [simplify]: Extracting #4: cost 137 inf + 1 426.258 * * [simplify]: Extracting #5: cost 190 inf + 248 426.260 * * [simplify]: Extracting #6: cost 254 inf + 3624 426.265 * * [simplify]: Extracting #7: cost 210 inf + 12815 426.274 * * [simplify]: Extracting #8: cost 150 inf + 28049 426.294 * * [simplify]: Extracting #9: cost 94 inf + 51806 426.317 * * [simplify]: Extracting #10: cost 50 inf + 71649 426.336 * * [simplify]: Extracting #11: cost 9 inf + 108992 426.371 * * [simplify]: Extracting #12: cost 1 inf + 119232 426.418 * * [simplify]: Extracting #13: cost 0 inf + 121257 426.466 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 426.466 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 426.467 * * * * [progress]: [ 1359 / 5906 ] simplifiying candidate # 426.468 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 426.469 * * [simplify]: iters left: 6 (47 enodes) 426.493 * * [simplify]: iters left: 5 (227 enodes) 426.582 * * [simplify]: Extracting #0: cost 1 inf + 0 426.582 * * [simplify]: Extracting #1: cost 3 inf + 0 426.582 * * [simplify]: Extracting #2: cost 10 inf + 0 426.582 * * [simplify]: Extracting #3: cost 66 inf + 0 426.583 * * [simplify]: Extracting #4: cost 117 inf + 44 426.584 * * [simplify]: Extracting #5: cost 153 inf + 1228 426.586 * * [simplify]: Extracting #6: cost 229 inf + 2934 426.593 * * [simplify]: Extracting #7: cost 206 inf + 7085 426.601 * * [simplify]: Extracting #8: cost 133 inf + 24174 426.620 * * [simplify]: Extracting #9: cost 61 inf + 55037 426.649 * * [simplify]: Extracting #10: cost 15 inf + 85921 426.672 * * [simplify]: Extracting #11: cost 3 inf + 99421 426.706 * * [simplify]: Extracting #12: cost 1 inf + 103191 426.727 * * [simplify]: Extracting #13: cost 0 inf + 105096 426.762 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)))))) 426.762 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 426.763 * * * * [progress]: [ 1360 / 5906 ] simplifiying candidate # 426.764 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 426.764 * * [simplify]: iters left: 6 (52 enodes) 426.777 * * [simplify]: iters left: 5 (255 enodes) 426.840 * * [simplify]: Extracting #0: cost 1 inf + 0 426.840 * * [simplify]: Extracting #1: cost 3 inf + 0 426.841 * * [simplify]: Extracting #2: cost 10 inf + 0 426.841 * * [simplify]: Extracting #3: cost 74 inf + 0 426.841 * * [simplify]: Extracting #4: cost 137 inf + 1 426.842 * * [simplify]: Extracting #5: cost 190 inf + 248 426.844 * * [simplify]: Extracting #6: cost 258 inf + 2456 426.849 * * [simplify]: Extracting #7: cost 213 inf + 12009 426.853 * * [simplify]: Extracting #8: cost 152 inf + 26843 426.862 * * [simplify]: Extracting #9: cost 96 inf + 51756 426.875 * * [simplify]: Extracting #10: cost 50 inf + 72609 426.903 * * [simplify]: Extracting #11: cost 9 inf + 109992 426.929 * * [simplify]: Extracting #12: cost 1 inf + 120192 426.979 * * [simplify]: Extracting #13: cost 0 inf + 122217 427.004 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 427.004 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 427.005 * * * * [progress]: [ 1361 / 5906 ] simplifiying candidate # 427.005 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 427.006 * * [simplify]: iters left: 6 (47 enodes) 427.027 * * [simplify]: iters left: 5 (227 enodes) 427.083 * * [simplify]: Extracting #0: cost 1 inf + 0 427.083 * * [simplify]: Extracting #1: cost 3 inf + 0 427.084 * * [simplify]: Extracting #2: cost 10 inf + 0 427.084 * * [simplify]: Extracting #3: cost 65 inf + 0 427.084 * * [simplify]: Extracting #4: cost 116 inf + 86 427.084 * * [simplify]: Extracting #5: cost 151 inf + 1553 427.085 * * [simplify]: Extracting #6: cost 230 inf + 2772 427.087 * * [simplify]: Extracting #7: cost 204 inf + 7409 427.092 * * [simplify]: Extracting #8: cost 129 inf + 26652 427.101 * * [simplify]: Extracting #9: cost 63 inf + 54410 427.124 * * [simplify]: Extracting #10: cost 15 inf + 86321 427.144 * * [simplify]: Extracting #11: cost 3 inf + 99821 427.178 * * [simplify]: Extracting #12: cost 1 inf + 103591 427.203 * * [simplify]: Extracting #13: cost 0 inf + 105496 427.245 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)))))) 427.245 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 427.246 * * * * [progress]: [ 1362 / 5906 ] simplifiying candidate # 427.247 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 427.247 * * [simplify]: iters left: 6 (52 enodes) 427.274 * * [simplify]: iters left: 5 (249 enodes) 427.375 * * [simplify]: Extracting #0: cost 1 inf + 0 427.375 * * [simplify]: Extracting #1: cost 3 inf + 0 427.375 * * [simplify]: Extracting #2: cost 6 inf + 0 427.375 * * [simplify]: Extracting #3: cost 53 inf + 0 427.376 * * [simplify]: Extracting #4: cost 118 inf + 0 427.376 * * [simplify]: Extracting #5: cost 183 inf + 0 427.377 * * [simplify]: Extracting #6: cost 265 inf + 47 427.379 * * [simplify]: Extracting #7: cost 226 inf + 5301 427.382 * * [simplify]: Extracting #8: cost 143 inf + 22088 427.389 * * [simplify]: Extracting #9: cost 110 inf + 36262 427.397 * * [simplify]: Extracting #10: cost 85 inf + 45091 427.409 * * [simplify]: Extracting #11: cost 50 inf + 59118 427.438 * * [simplify]: Extracting #12: cost 7 inf + 100673 427.463 * * [simplify]: Extracting #13: cost 1 inf + 107743 427.505 * * [simplify]: Extracting #14: cost 0 inf + 109568 427.544 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) 427.544 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 427.544 * * * * [progress]: [ 1363 / 5906 ] simplifiying candidate # 427.545 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 427.545 * * [simplify]: iters left: 6 (53 enodes) 427.559 * * [simplify]: iters left: 5 (258 enodes) 427.647 * * [simplify]: Extracting #0: cost 1 inf + 0 427.647 * * [simplify]: Extracting #1: cost 3 inf + 0 427.647 * * [simplify]: Extracting #2: cost 6 inf + 0 427.647 * * [simplify]: Extracting #3: cost 56 inf + 0 427.648 * * [simplify]: Extracting #4: cost 140 inf + 0 427.648 * * [simplify]: Extracting #5: cost 196 inf + 44 427.649 * * [simplify]: Extracting #6: cost 247 inf + 2867 427.652 * * [simplify]: Extracting #7: cost 193 inf + 12553 427.658 * * [simplify]: Extracting #8: cost 125 inf + 33650 427.666 * * [simplify]: Extracting #9: cost 88 inf + 48931 427.677 * * [simplify]: Extracting #10: cost 50 inf + 63270 427.715 * * [simplify]: Extracting #11: cost 8 inf + 105160 427.745 * * [simplify]: Extracting #12: cost 0 inf + 115840 427.779 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 427.779 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 427.780 * * * * [progress]: [ 1364 / 5906 ] simplifiying candidate # 427.780 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 427.781 * * [simplify]: iters left: 6 (53 enodes) 427.803 * * [simplify]: iters left: 5 (258 enodes) 427.876 * * [simplify]: Extracting #0: cost 1 inf + 0 427.876 * * [simplify]: Extracting #1: cost 3 inf + 0 427.876 * * [simplify]: Extracting #2: cost 6 inf + 0 427.876 * * [simplify]: Extracting #3: cost 58 inf + 0 427.876 * * [simplify]: Extracting #4: cost 138 inf + 0 427.877 * * [simplify]: Extracting #5: cost 192 inf + 44 427.878 * * [simplify]: Extracting #6: cost 231 inf + 5408 427.881 * * [simplify]: Extracting #7: cost 181 inf + 14769 427.886 * * [simplify]: Extracting #8: cost 131 inf + 29249 427.896 * * [simplify]: Extracting #9: cost 85 inf + 49119 427.917 * * [simplify]: Extracting #10: cost 50 inf + 61662 427.954 * * [simplify]: Extracting #11: cost 10 inf + 98062 427.993 * * [simplify]: Extracting #12: cost 0 inf + 110912 428.015 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 428.015 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 428.016 * * * * [progress]: [ 1365 / 5906 ] simplifiying candidate # 428.016 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 428.016 * * [simplify]: iters left: 6 (47 enodes) 428.028 * * [simplify]: iters left: 5 (221 enodes) 428.088 * * [simplify]: Extracting #0: cost 1 inf + 0 428.088 * * [simplify]: Extracting #1: cost 3 inf + 0 428.088 * * [simplify]: Extracting #2: cost 6 inf + 0 428.088 * * [simplify]: Extracting #3: cost 50 inf + 0 428.089 * * [simplify]: Extracting #4: cost 107 inf + 0 428.089 * * [simplify]: Extracting #5: cost 137 inf + 412 428.091 * * [simplify]: Extracting #6: cost 195 inf + 2372 428.095 * * [simplify]: Extracting #7: cost 166 inf + 7655 428.101 * * [simplify]: Extracting #8: cost 126 inf + 18716 428.107 * * [simplify]: Extracting #9: cost 85 inf + 34608 428.116 * * [simplify]: Extracting #10: cost 44 inf + 49486 428.126 * * [simplify]: Extracting #11: cost 29 inf + 59408 428.148 * * [simplify]: Extracting #12: cost 10 inf + 77643 428.184 * * [simplify]: Extracting #13: cost 0 inf + 89133 428.217 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 428.218 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 428.219 * * * * [progress]: [ 1366 / 5906 ] simplifiying candidate # 428.219 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 428.220 * * [simplify]: iters left: 6 (52 enodes) 428.245 * * [simplify]: iters left: 5 (249 enodes) 428.307 * * [simplify]: Extracting #0: cost 1 inf + 0 428.307 * * [simplify]: Extracting #1: cost 3 inf + 0 428.307 * * [simplify]: Extracting #2: cost 10 inf + 0 428.307 * * [simplify]: Extracting #3: cost 66 inf + 0 428.308 * * [simplify]: Extracting #4: cost 126 inf + 1 428.309 * * [simplify]: Extracting #5: cost 164 inf + 207 428.310 * * [simplify]: Extracting #6: cost 227 inf + 1924 428.314 * * [simplify]: Extracting #7: cost 198 inf + 7526 428.322 * * [simplify]: Extracting #8: cost 132 inf + 24447 428.335 * * [simplify]: Extracting #9: cost 94 inf + 38218 428.354 * * [simplify]: Extracting #10: cost 52 inf + 56052 428.376 * * [simplify]: Extracting #11: cost 33 inf + 68007 428.405 * * [simplify]: Extracting #12: cost 4 inf + 99172 428.429 * * [simplify]: Extracting #13: cost 0 inf + 104712 428.464 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 428.464 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 428.465 * * * * [progress]: [ 1367 / 5906 ] simplifiying candidate # 428.465 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 428.466 * * [simplify]: iters left: 6 (47 enodes) 428.477 * * [simplify]: iters left: 5 (222 enodes) 428.536 * * [simplify]: Extracting #0: cost 1 inf + 0 428.536 * * [simplify]: Extracting #1: cost 3 inf + 0 428.536 * * [simplify]: Extracting #2: cost 10 inf + 0 428.536 * * [simplify]: Extracting #3: cost 57 inf + 0 428.537 * * [simplify]: Extracting #4: cost 105 inf + 44 428.537 * * [simplify]: Extracting #5: cost 131 inf + 659 428.538 * * [simplify]: Extracting #6: cost 192 inf + 2895 428.540 * * [simplify]: Extracting #7: cost 159 inf + 9586 428.545 * * [simplify]: Extracting #8: cost 98 inf + 28883 428.563 * * [simplify]: Extracting #9: cost 48 inf + 49642 428.574 * * [simplify]: Extracting #10: cost 25 inf + 62110 428.588 * * [simplify]: Extracting #11: cost 4 inf + 80969 428.605 * * [simplify]: Extracting #12: cost 1 inf + 85524 428.629 * * [simplify]: Extracting #13: cost 0 inf + 87069 428.648 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) 428.648 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 428.649 * * * * [progress]: [ 1368 / 5906 ] simplifiying candidate # 428.649 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 428.649 * * [simplify]: iters left: 6 (52 enodes) 428.669 * * [simplify]: iters left: 5 (249 enodes) 428.727 * * [simplify]: Extracting #0: cost 1 inf + 0 428.727 * * [simplify]: Extracting #1: cost 3 inf + 0 428.727 * * [simplify]: Extracting #2: cost 10 inf + 0 428.727 * * [simplify]: Extracting #3: cost 66 inf + 0 428.731 * * [simplify]: Extracting #4: cost 126 inf + 1 428.731 * * [simplify]: Extracting #5: cost 164 inf + 207 428.732 * * [simplify]: Extracting #6: cost 224 inf + 2330 428.734 * * [simplify]: Extracting #7: cost 198 inf + 7526 428.738 * * [simplify]: Extracting #8: cost 134 inf + 24503 428.745 * * [simplify]: Extracting #9: cost 94 inf + 38938 428.759 * * [simplify]: Extracting #10: cost 52 inf + 56852 428.781 * * [simplify]: Extracting #11: cost 33 inf + 68807 428.799 * * [simplify]: Extracting #12: cost 4 inf + 99972 428.832 * * [simplify]: Extracting #13: cost 0 inf + 105512 428.860 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 428.860 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 428.861 * * * * [progress]: [ 1369 / 5906 ] simplifiying candidate # 428.861 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 428.862 * * [simplify]: iters left: 6 (47 enodes) 428.876 * * [simplify]: iters left: 5 (222 enodes) 428.960 * * [simplify]: Extracting #0: cost 1 inf + 0 428.960 * * [simplify]: Extracting #1: cost 3 inf + 0 428.960 * * [simplify]: Extracting #2: cost 10 inf + 0 428.960 * * [simplify]: Extracting #3: cost 56 inf + 0 428.961 * * [simplify]: Extracting #4: cost 104 inf + 86 428.961 * * [simplify]: Extracting #5: cost 119 inf + 2242 428.962 * * [simplify]: Extracting #6: cost 191 inf + 2976 428.964 * * [simplify]: Extracting #7: cost 159 inf + 9586 428.969 * * [simplify]: Extracting #8: cost 98 inf + 29043 428.981 * * [simplify]: Extracting #9: cost 47 inf + 50214 428.992 * * [simplify]: Extracting #10: cost 25 inf + 62430 429.012 * * [simplify]: Extracting #11: cost 4 inf + 81289 429.033 * * [simplify]: Extracting #12: cost 1 inf + 85844 429.050 * * [simplify]: Extracting #13: cost 0 inf + 87389 429.067 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) 429.068 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 429.068 * * * * [progress]: [ 1370 / 5906 ] simplifiying candidate # 429.069 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 429.069 * * [simplify]: iters left: 6 (48 enodes) 429.090 * * [simplify]: iters left: 5 (227 enodes) 429.138 * * [simplify]: Extracting #0: cost 1 inf + 0 429.138 * * [simplify]: Extracting #1: cost 3 inf + 0 429.138 * * [simplify]: Extracting #2: cost 6 inf + 0 429.138 * * [simplify]: Extracting #3: cost 48 inf + 0 429.138 * * [simplify]: Extracting #4: cost 112 inf + 0 429.139 * * [simplify]: Extracting #5: cost 180 inf + 0 429.139 * * [simplify]: Extracting #6: cost 243 inf + 342 429.141 * * [simplify]: Extracting #7: cost 206 inf + 5600 429.144 * * [simplify]: Extracting #8: cost 132 inf + 20139 429.155 * * [simplify]: Extracting #9: cost 84 inf + 37901 429.177 * * [simplify]: Extracting #10: cost 46 inf + 55674 429.217 * * [simplify]: Extracting #11: cost 6 inf + 97794 429.255 * * [simplify]: Extracting #12: cost 0 inf + 105184 429.276 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))) 429.276 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 429.277 * * * * [progress]: [ 1371 / 5906 ] simplifiying candidate # 429.277 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 429.277 * * [simplify]: iters left: 6 (49 enodes) 429.300 * * [simplify]: iters left: 5 (236 enodes) 429.363 * * [simplify]: Extracting #0: cost 1 inf + 0 429.363 * * [simplify]: Extracting #1: cost 3 inf + 0 429.363 * * [simplify]: Extracting #2: cost 6 inf + 0 429.363 * * [simplify]: Extracting #3: cost 52 inf + 0 429.363 * * [simplify]: Extracting #4: cost 135 inf + 0 429.364 * * [simplify]: Extracting #5: cost 192 inf + 127 429.365 * * [simplify]: Extracting #6: cost 217 inf + 4927 429.367 * * [simplify]: Extracting #7: cost 177 inf + 13712 429.372 * * [simplify]: Extracting #8: cost 122 inf + 28830 429.383 * * [simplify]: Extracting #9: cost 80 inf + 45853 429.400 * * [simplify]: Extracting #10: cost 42 inf + 62751 429.428 * * [simplify]: Extracting #11: cost 7 inf + 99026 429.470 * * [simplify]: Extracting #12: cost 0 inf + 107761 429.498 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (+ phi1 phi2) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) 429.498 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (+ phi1 phi2) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 429.499 * * * * [progress]: [ 1372 / 5906 ] simplifiying candidate # 429.499 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 429.500 * * [simplify]: iters left: 6 (49 enodes) 429.512 * * [simplify]: iters left: 5 (236 enodes) 429.585 * * [simplify]: Extracting #0: cost 1 inf + 0 429.585 * * [simplify]: Extracting #1: cost 3 inf + 0 429.585 * * [simplify]: Extracting #2: cost 6 inf + 0 429.585 * * [simplify]: Extracting #3: cost 54 inf + 0 429.586 * * [simplify]: Extracting #4: cost 133 inf + 0 429.587 * * [simplify]: Extracting #5: cost 187 inf + 208 429.589 * * [simplify]: Extracting #6: cost 214 inf + 5045 429.592 * * [simplify]: Extracting #7: cost 178 inf + 12338 429.596 * * [simplify]: Extracting #8: cost 125 inf + 27506 429.605 * * [simplify]: Extracting #9: cost 66 inf + 52171 429.617 * * [simplify]: Extracting #10: cost 32 inf + 68713 429.636 * * [simplify]: Extracting #11: cost 2 inf + 102583 429.675 * * [simplify]: Extracting #12: cost 0 inf + 105633 429.695 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) 429.695 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 429.696 * * * * [progress]: [ 1373 / 5906 ] simplifiying candidate # 429.696 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 429.697 * * [simplify]: iters left: 6 (43 enodes) 429.720 * * [simplify]: iters left: 5 (199 enodes) 429.800 * * [simplify]: Extracting #0: cost 1 inf + 0 429.800 * * [simplify]: Extracting #1: cost 3 inf + 0 429.800 * * [simplify]: Extracting #2: cost 6 inf + 0 429.800 * * [simplify]: Extracting #3: cost 46 inf + 0 429.801 * * [simplify]: Extracting #4: cost 101 inf + 0 429.801 * * [simplify]: Extracting #5: cost 132 inf + 372 429.803 * * [simplify]: Extracting #6: cost 178 inf + 2207 429.806 * * [simplify]: Extracting #7: cost 156 inf + 6237 429.812 * * [simplify]: Extracting #8: cost 101 inf + 20012 429.824 * * [simplify]: Extracting #9: cost 45 inf + 45723 429.837 * * [simplify]: Extracting #10: cost 7 inf + 74570 429.864 * * [simplify]: Extracting #11: cost 0 inf + 82412 429.889 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) 429.890 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 429.890 * * * * [progress]: [ 1374 / 5906 ] simplifiying candidate # 429.890 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 429.891 * * [simplify]: iters left: 6 (48 enodes) 429.903 * * [simplify]: iters left: 5 (227 enodes) 429.960 * * [simplify]: Extracting #0: cost 1 inf + 0 429.960 * * [simplify]: Extracting #1: cost 3 inf + 0 429.960 * * [simplify]: Extracting #2: cost 10 inf + 0 429.960 * * [simplify]: Extracting #3: cost 62 inf + 0 429.961 * * [simplify]: Extracting #4: cost 115 inf + 42 429.962 * * [simplify]: Extracting #5: cost 157 inf + 207 429.964 * * [simplify]: Extracting #6: cost 199 inf + 2773 429.967 * * [simplify]: Extracting #7: cost 176 inf + 7613 429.975 * * [simplify]: Extracting #8: cost 97 inf + 27749 429.991 * * [simplify]: Extracting #9: cost 45 inf + 51070 430.021 * * [simplify]: Extracting #10: cost 5 inf + 86343 430.062 * * [simplify]: Extracting #11: cost 0 inf + 93788 430.100 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 430.100 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 430.101 * * * * [progress]: [ 1375 / 5906 ] simplifiying candidate # 430.102 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 430.102 * * [simplify]: iters left: 6 (43 enodes) 430.125 * * [simplify]: iters left: 5 (199 enodes) 430.201 * * [simplify]: Extracting #0: cost 1 inf + 0 430.201 * * [simplify]: Extracting #1: cost 3 inf + 0 430.201 * * [simplify]: Extracting #2: cost 10 inf + 0 430.201 * * [simplify]: Extracting #3: cost 54 inf + 0 430.202 * * [simplify]: Extracting #4: cost 95 inf + 86 430.203 * * [simplify]: Extracting #5: cost 118 inf + 1471 430.207 * * [simplify]: Extracting #6: cost 169 inf + 2895 430.208 * * [simplify]: Extracting #7: cost 156 inf + 5586 430.211 * * [simplify]: Extracting #8: cost 101 inf + 19389 430.220 * * [simplify]: Extracting #9: cost 41 inf + 48820 430.236 * * [simplify]: Extracting #10: cost 6 inf + 71724 430.262 * * [simplify]: Extracting #11: cost 0 inf + 77267 430.278 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 430.278 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 430.278 * * * * [progress]: [ 1376 / 5906 ] simplifiying candidate # 430.279 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 430.279 * * [simplify]: iters left: 6 (48 enodes) 430.298 * * [simplify]: iters left: 5 (227 enodes) 430.367 * * [simplify]: Extracting #0: cost 1 inf + 0 430.367 * * [simplify]: Extracting #1: cost 3 inf + 0 430.367 * * [simplify]: Extracting #2: cost 10 inf + 0 430.367 * * [simplify]: Extracting #3: cost 62 inf + 0 430.367 * * [simplify]: Extracting #4: cost 115 inf + 42 430.368 * * [simplify]: Extracting #5: cost 155 inf + 290 430.368 * * [simplify]: Extracting #6: cost 198 inf + 3015 430.370 * * [simplify]: Extracting #7: cost 177 inf + 7532 430.376 * * [simplify]: Extracting #8: cost 97 inf + 27829 430.392 * * [simplify]: Extracting #9: cost 45 inf + 51590 430.414 * * [simplify]: Extracting #10: cost 3 inf + 90633 430.439 * * [simplify]: Extracting #11: cost 0 inf + 94508 430.460 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 430.460 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 430.460 * * * * [progress]: [ 1377 / 5906 ] simplifiying candidate # 430.461 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 430.461 * * [simplify]: iters left: 6 (43 enodes) 430.472 * * [simplify]: iters left: 5 (199 enodes) 430.531 * * [simplify]: Extracting #0: cost 1 inf + 0 430.531 * * [simplify]: Extracting #1: cost 3 inf + 0 430.531 * * [simplify]: Extracting #2: cost 10 inf + 0 430.531 * * [simplify]: Extracting #3: cost 53 inf + 0 430.532 * * [simplify]: Extracting #4: cost 96 inf + 44 430.533 * * [simplify]: Extracting #5: cost 122 inf + 1023 430.534 * * [simplify]: Extracting #6: cost 170 inf + 2733 430.537 * * [simplify]: Extracting #7: cost 157 inf + 5543 430.548 * * [simplify]: Extracting #8: cost 92 inf + 23068 430.556 * * [simplify]: Extracting #9: cost 38 inf + 46056 430.569 * * [simplify]: Extracting #10: cost 10 inf + 68403 430.589 * * [simplify]: Extracting #11: cost 0 inf + 77827 430.618 * * [simplify]: Extracting #12: cost 0 inf + 77587 430.634 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) 430.634 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 430.634 * * * * [progress]: [ 1378 / 5906 ] simplifiying candidate # 430.635 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 430.635 * * [simplify]: iters left: 6 (52 enodes) 430.652 * * [simplify]: iters left: 5 (254 enodes) 430.731 * * [simplify]: Extracting #0: cost 1 inf + 0 430.731 * * [simplify]: Extracting #1: cost 3 inf + 0 430.731 * * [simplify]: Extracting #2: cost 6 inf + 0 430.731 * * [simplify]: Extracting #3: cost 56 inf + 0 430.731 * * [simplify]: Extracting #4: cost 130 inf + 0 430.732 * * [simplify]: Extracting #5: cost 210 inf + 0 430.733 * * [simplify]: Extracting #6: cost 278 inf + 1011 430.735 * * [simplify]: Extracting #7: cost 202 inf + 16237 430.741 * * [simplify]: Extracting #8: cost 139 inf + 34787 430.749 * * [simplify]: Extracting #9: cost 94 inf + 50918 430.766 * * [simplify]: Extracting #10: cost 54 inf + 65172 430.804 * * [simplify]: Extracting #11: cost 13 inf + 104917 430.829 * * [simplify]: Extracting #12: cost 1 inf + 118337 430.861 * * [simplify]: Extracting #13: cost 0 inf + 120322 430.892 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 430.892 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 430.893 * * * * [progress]: [ 1379 / 5906 ] simplifiying candidate # 430.894 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 430.894 * * [simplify]: iters left: 6 (53 enodes) 430.923 * * [simplify]: iters left: 5 (263 enodes) 431.008 * * [simplify]: Extracting #0: cost 1 inf + 0 431.008 * * [simplify]: Extracting #1: cost 3 inf + 0 431.008 * * [simplify]: Extracting #2: cost 6 inf + 0 431.008 * * [simplify]: Extracting #3: cost 60 inf + 0 431.009 * * [simplify]: Extracting #4: cost 153 inf + 0 431.010 * * [simplify]: Extracting #5: cost 223 inf + 85 431.012 * * [simplify]: Extracting #6: cost 257 inf + 4687 431.022 * * [simplify]: Extracting #7: cost 205 inf + 15412 431.034 * * [simplify]: Extracting #8: cost 141 inf + 33929 431.053 * * [simplify]: Extracting #9: cost 93 inf + 58210 431.080 * * [simplify]: Extracting #10: cost 47 inf + 75966 431.121 * * [simplify]: Extracting #11: cost 7 inf + 116524 431.154 * * [simplify]: Extracting #12: cost 0 inf + 124379 431.190 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 431.190 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 431.191 * * * * [progress]: [ 1380 / 5906 ] simplifiying candidate # 431.191 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 431.191 * * [simplify]: iters left: 6 (53 enodes) 431.213 * * [simplify]: iters left: 5 (263 enodes) 431.282 * * [simplify]: Extracting #0: cost 1 inf + 0 431.282 * * [simplify]: Extracting #1: cost 3 inf + 0 431.282 * * [simplify]: Extracting #2: cost 6 inf + 0 431.282 * * [simplify]: Extracting #3: cost 62 inf + 0 431.283 * * [simplify]: Extracting #4: cost 151 inf + 0 431.283 * * [simplify]: Extracting #5: cost 221 inf + 2 431.284 * * [simplify]: Extracting #6: cost 259 inf + 4555 431.288 * * [simplify]: Extracting #7: cost 190 inf + 17574 431.298 * * [simplify]: Extracting #8: cost 120 inf + 39976 431.335 * * [simplify]: Extracting #9: cost 9 inf + 113710 431.381 * * [simplify]: Extracting #10: cost 0 inf + 122051 431.410 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 431.410 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 431.411 * * * * [progress]: [ 1381 / 5906 ] simplifiying candidate # 431.411 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 431.411 * * [simplify]: iters left: 6 (47 enodes) 431.428 * * [simplify]: iters left: 5 (227 enodes) 431.514 * * [simplify]: Extracting #0: cost 1 inf + 0 431.514 * * [simplify]: Extracting #1: cost 3 inf + 0 431.514 * * [simplify]: Extracting #2: cost 6 inf + 0 431.514 * * [simplify]: Extracting #3: cost 54 inf + 0 431.514 * * [simplify]: Extracting #4: cost 119 inf + 0 431.515 * * [simplify]: Extracting #5: cost 168 inf + 44 431.516 * * [simplify]: Extracting #6: cost 222 inf + 1400 431.520 * * [simplify]: Extracting #7: cost 178 inf + 8345 431.529 * * [simplify]: Extracting #8: cost 121 inf + 24772 431.549 * * [simplify]: Extracting #9: cost 55 inf + 52659 431.579 * * [simplify]: Extracting #10: cost 10 inf + 86526 431.616 * * [simplify]: Extracting #11: cost 1 inf + 95925 431.642 * * [simplify]: Extracting #12: cost 0 inf + 97790 431.665 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 431.665 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 431.666 * * * * [progress]: [ 1382 / 5906 ] simplifiying candidate # 431.666 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 431.667 * * [simplify]: iters left: 6 (52 enodes) 431.691 * * [simplify]: iters left: 5 (255 enodes) 431.762 * * [simplify]: Extracting #0: cost 1 inf + 0 431.763 * * [simplify]: Extracting #1: cost 3 inf + 0 431.763 * * [simplify]: Extracting #2: cost 10 inf + 0 431.763 * * [simplify]: Extracting #3: cost 74 inf + 0 431.763 * * [simplify]: Extracting #4: cost 137 inf + 1 431.764 * * [simplify]: Extracting #5: cost 189 inf + 248 431.765 * * [simplify]: Extracting #6: cost 233 inf + 3912 431.768 * * [simplify]: Extracting #7: cost 184 inf + 14277 431.773 * * [simplify]: Extracting #8: cost 140 inf + 28059 431.781 * * [simplify]: Extracting #9: cost 99 inf + 45119 431.806 * * [simplify]: Extracting #10: cost 41 inf + 69856 431.838 * * [simplify]: Extracting #11: cost 5 inf + 106636 431.864 * * [simplify]: Extracting #12: cost 0 inf + 114041 431.900 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 431.900 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 431.901 * * * * [progress]: [ 1383 / 5906 ] simplifiying candidate # 431.901 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 431.901 * * [simplify]: iters left: 6 (47 enodes) 431.913 * * [simplify]: iters left: 5 (227 enodes) 431.992 * * [simplify]: Extracting #0: cost 1 inf + 0 431.992 * * [simplify]: Extracting #1: cost 3 inf + 0 431.993 * * [simplify]: Extracting #2: cost 10 inf + 0 431.993 * * [simplify]: Extracting #3: cost 66 inf + 0 431.993 * * [simplify]: Extracting #4: cost 117 inf + 44 431.993 * * [simplify]: Extracting #5: cost 153 inf + 1186 431.994 * * [simplify]: Extracting #6: cost 210 inf + 3057 431.996 * * [simplify]: Extracting #7: cost 184 inf + 6968 432.000 * * [simplify]: Extracting #8: cost 121 inf + 22691 432.009 * * [simplify]: Extracting #9: cost 58 inf + 50459 432.029 * * [simplify]: Extracting #10: cost 11 inf + 82471 432.049 * * [simplify]: Extracting #11: cost 3 inf + 90045 432.081 * * [simplify]: Extracting #12: cost 1 inf + 93575 432.118 * * [simplify]: Extracting #13: cost 0 inf + 95360 432.155 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) 432.155 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 432.156 * * * * [progress]: [ 1384 / 5906 ] simplifiying candidate # 432.156 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 432.157 * * [simplify]: iters left: 6 (52 enodes) 432.185 * * [simplify]: iters left: 5 (255 enodes) 432.263 * * [simplify]: Extracting #0: cost 1 inf + 0 432.263 * * [simplify]: Extracting #1: cost 3 inf + 0 432.263 * * [simplify]: Extracting #2: cost 10 inf + 0 432.264 * * [simplify]: Extracting #3: cost 74 inf + 0 432.264 * * [simplify]: Extracting #4: cost 137 inf + 1 432.265 * * [simplify]: Extracting #5: cost 189 inf + 248 432.268 * * [simplify]: Extracting #6: cost 237 inf + 2944 432.274 * * [simplify]: Extracting #7: cost 192 inf + 11655 432.283 * * [simplify]: Extracting #8: cost 140 inf + 28699 432.293 * * [simplify]: Extracting #9: cost 98 inf + 46304 432.307 * * [simplify]: Extracting #10: cost 41 inf + 70816 432.336 * * [simplify]: Extracting #11: cost 5 inf + 107596 432.372 * * [simplify]: Extracting #12: cost 0 inf + 115001 432.404 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 432.404 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 432.405 * * * * [progress]: [ 1385 / 5906 ] simplifiying candidate # 432.406 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 432.406 * * [simplify]: iters left: 6 (47 enodes) 432.433 * * [simplify]: iters left: 5 (227 enodes) 432.501 * * [simplify]: Extracting #0: cost 1 inf + 0 432.501 * * [simplify]: Extracting #1: cost 3 inf + 0 432.501 * * [simplify]: Extracting #2: cost 10 inf + 0 432.501 * * [simplify]: Extracting #3: cost 65 inf + 0 432.502 * * [simplify]: Extracting #4: cost 116 inf + 86 432.503 * * [simplify]: Extracting #5: cost 149 inf + 1674 432.505 * * [simplify]: Extracting #6: cost 210 inf + 3017 432.508 * * [simplify]: Extracting #7: cost 185 inf + 6807 432.516 * * [simplify]: Extracting #8: cost 124 inf + 22005 432.534 * * [simplify]: Extracting #9: cost 56 inf + 52187 432.555 * * [simplify]: Extracting #10: cost 11 inf + 82871 432.576 * * [simplify]: Extracting #11: cost 3 inf + 90445 432.594 * * [simplify]: Extracting #12: cost 1 inf + 93975 432.629 * * [simplify]: Extracting #13: cost 0 inf + 95760 432.665 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) 432.665 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 432.666 * * * * [progress]: [ 1386 / 5906 ] simplifiying candidate # 432.667 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 432.667 * * [simplify]: iters left: 6 (51 enodes) 432.693 * * [simplify]: iters left: 5 (243 enodes) 432.762 * * [simplify]: Extracting #0: cost 1 inf + 0 432.762 * * [simplify]: Extracting #1: cost 3 inf + 0 432.762 * * [simplify]: Extracting #2: cost 6 inf + 0 432.762 * * [simplify]: Extracting #3: cost 56 inf + 0 432.763 * * [simplify]: Extracting #4: cost 130 inf + 0 432.763 * * [simplify]: Extracting #5: cost 207 inf + 0 432.765 * * [simplify]: Extracting #6: cost 260 inf + 2196 432.770 * * [simplify]: Extracting #7: cost 198 inf + 13309 432.780 * * [simplify]: Extracting #8: cost 139 inf + 32365 432.795 * * [simplify]: Extracting #9: cost 91 inf + 49445 432.810 * * [simplify]: Extracting #10: cost 53 inf + 63443 432.834 * * [simplify]: Extracting #11: cost 4 inf + 116548 432.858 * * [simplify]: Extracting #12: cost 1 inf + 121983 432.883 * * [simplify]: Extracting #13: cost 0 inf + 124088 432.908 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 432.908 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 432.909 * * * * [progress]: [ 1387 / 5906 ] simplifiying candidate # 432.909 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 432.910 * * [simplify]: iters left: 6 (52 enodes) 432.927 * * [simplify]: iters left: 5 (252 enodes) 432.996 * * [simplify]: Extracting #0: cost 1 inf + 0 432.996 * * [simplify]: Extracting #1: cost 3 inf + 0 432.997 * * [simplify]: Extracting #2: cost 6 inf + 0 432.997 * * [simplify]: Extracting #3: cost 60 inf + 0 432.997 * * [simplify]: Extracting #4: cost 153 inf + 0 432.999 * * [simplify]: Extracting #5: cost 221 inf + 44 433.001 * * [simplify]: Extracting #6: cost 239 inf + 5822 433.008 * * [simplify]: Extracting #7: cost 179 inf + 18241 433.019 * * [simplify]: Extracting #8: cost 142 inf + 30747 433.041 * * [simplify]: Extracting #9: cost 91 inf + 53999 433.055 * * [simplify]: Extracting #10: cost 49 inf + 70960 433.075 * * [simplify]: Extracting #11: cost 8 inf + 115265 433.122 * * [simplify]: Extracting #12: cost 1 inf + 123480 433.173 * * [simplify]: Extracting #13: cost 0 inf + 125665 433.224 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* phi1 phi1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi2 phi2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 433.224 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* phi1 phi1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi2 phi2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 433.225 * * * * [progress]: [ 1388 / 5906 ] simplifiying candidate # 433.226 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 433.226 * * [simplify]: iters left: 6 (52 enodes) 433.241 * * [simplify]: iters left: 5 (252 enodes) 433.337 * * [simplify]: Extracting #0: cost 1 inf + 0 433.337 * * [simplify]: Extracting #1: cost 3 inf + 0 433.337 * * [simplify]: Extracting #2: cost 6 inf + 0 433.337 * * [simplify]: Extracting #3: cost 62 inf + 0 433.338 * * [simplify]: Extracting #4: cost 151 inf + 0 433.339 * * [simplify]: Extracting #5: cost 217 inf + 44 433.341 * * [simplify]: Extracting #6: cost 255 inf + 2862 433.346 * * [simplify]: Extracting #7: cost 195 inf + 12995 433.354 * * [simplify]: Extracting #8: cost 148 inf + 25134 433.368 * * [simplify]: Extracting #9: cost 104 inf + 43258 433.390 * * [simplify]: Extracting #10: cost 50 inf + 68527 433.428 * * [simplify]: Extracting #11: cost 8 inf + 112897 433.477 * * [simplify]: Extracting #12: cost 1 inf + 122392 433.529 * * [simplify]: Extracting #13: cost 0 inf + 124577 433.567 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 433.567 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 433.568 * * * * [progress]: [ 1389 / 5906 ] simplifiying candidate # 433.568 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 433.568 * * [simplify]: iters left: 6 (46 enodes) 433.579 * * [simplify]: iters left: 5 (216 enodes) 433.663 * * [simplify]: Extracting #0: cost 1 inf + 0 433.663 * * [simplify]: Extracting #1: cost 3 inf + 0 433.663 * * [simplify]: Extracting #2: cost 6 inf + 0 433.664 * * [simplify]: Extracting #3: cost 54 inf + 0 433.664 * * [simplify]: Extracting #4: cost 119 inf + 0 433.665 * * [simplify]: Extracting #5: cost 164 inf + 85 433.667 * * [simplify]: Extracting #6: cost 205 inf + 2452 433.670 * * [simplify]: Extracting #7: cost 164 inf + 9510 433.680 * * [simplify]: Extracting #8: cost 108 inf + 29164 433.698 * * [simplify]: Extracting #9: cost 54 inf + 52472 433.727 * * [simplify]: Extracting #10: cost 15 inf + 84021 433.765 * * [simplify]: Extracting #11: cost 1 inf + 101051 433.788 * * [simplify]: Extracting #12: cost 0 inf + 103036 433.832 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 433.832 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 433.833 * * * * [progress]: [ 1390 / 5906 ] simplifiying candidate # 433.833 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 433.833 * * [simplify]: iters left: 6 (51 enodes) 433.847 * * [simplify]: iters left: 5 (244 enodes) 433.930 * * [simplify]: Extracting #0: cost 1 inf + 0 433.930 * * [simplify]: Extracting #1: cost 3 inf + 0 433.930 * * [simplify]: Extracting #2: cost 10 inf + 0 433.930 * * [simplify]: Extracting #3: cost 74 inf + 0 433.931 * * [simplify]: Extracting #4: cost 137 inf + 1 433.932 * * [simplify]: Extracting #5: cost 188 inf + 165 433.934 * * [simplify]: Extracting #6: cost 233 inf + 2211 433.939 * * [simplify]: Extracting #7: cost 177 inf + 12527 433.948 * * [simplify]: Extracting #8: cost 135 inf + 28419 433.961 * * [simplify]: Extracting #9: cost 94 inf + 44042 433.978 * * [simplify]: Extracting #10: cost 55 inf + 59152 434.003 * * [simplify]: Extracting #11: cost 7 inf + 106952 434.042 * * [simplify]: Extracting #12: cost 1 inf + 116342 434.078 * * [simplify]: Extracting #13: cost 0 inf + 118447 434.107 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) 434.107 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 434.108 * * * * [progress]: [ 1391 / 5906 ] simplifiying candidate # 434.109 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 434.109 * * [simplify]: iters left: 6 (46 enodes) 434.133 * * [simplify]: iters left: 5 (216 enodes) 434.222 * * [simplify]: Extracting #0: cost 1 inf + 0 434.222 * * [simplify]: Extracting #1: cost 3 inf + 0 434.222 * * [simplify]: Extracting #2: cost 10 inf + 0 434.222 * * [simplify]: Extracting #3: cost 66 inf + 0 434.223 * * [simplify]: Extracting #4: cost 116 inf + 86 434.224 * * [simplify]: Extracting #5: cost 146 inf + 1634 434.226 * * [simplify]: Extracting #6: cost 197 inf + 3302 434.229 * * [simplify]: Extracting #7: cost 171 inf + 7130 434.237 * * [simplify]: Extracting #8: cost 104 inf + 29773 434.247 * * [simplify]: Extracting #9: cost 41 inf + 59647 434.263 * * [simplify]: Extracting #10: cost 6 inf + 92457 434.295 * * [simplify]: Extracting #11: cost 0 inf + 97046 434.333 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) 434.334 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 434.336 * * * * [progress]: [ 1392 / 5906 ] simplifiying candidate # 434.337 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 434.337 * * [simplify]: iters left: 6 (51 enodes) 434.366 * * [simplify]: iters left: 5 (244 enodes) 434.441 * * [simplify]: Extracting #0: cost 1 inf + 0 434.441 * * [simplify]: Extracting #1: cost 3 inf + 0 434.441 * * [simplify]: Extracting #2: cost 10 inf + 0 434.442 * * [simplify]: Extracting #3: cost 74 inf + 0 434.442 * * [simplify]: Extracting #4: cost 137 inf + 1 434.443 * * [simplify]: Extracting #5: cost 187 inf + 207 434.445 * * [simplify]: Extracting #6: cost 228 inf + 2740 434.450 * * [simplify]: Extracting #7: cost 176 inf + 12729 434.460 * * [simplify]: Extracting #8: cost 134 inf + 29303 434.474 * * [simplify]: Extracting #9: cost 94 inf + 44922 434.497 * * [simplify]: Extracting #10: cost 55 inf + 60112 434.534 * * [simplify]: Extracting #11: cost 7 inf + 107912 434.566 * * [simplify]: Extracting #12: cost 1 inf + 117302 434.600 * * [simplify]: Extracting #13: cost 0 inf + 119407 434.629 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) 434.630 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 434.631 * * * * [progress]: [ 1393 / 5906 ] simplifiying candidate # 434.631 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 434.631 * * [simplify]: iters left: 6 (46 enodes) 434.651 * * [simplify]: iters left: 5 (216 enodes) 434.708 * * [simplify]: Extracting #0: cost 1 inf + 0 434.708 * * [simplify]: Extracting #1: cost 3 inf + 0 434.708 * * [simplify]: Extracting #2: cost 10 inf + 0 434.708 * * [simplify]: Extracting #3: cost 65 inf + 0 434.709 * * [simplify]: Extracting #4: cost 117 inf + 44 434.710 * * [simplify]: Extracting #5: cost 150 inf + 1026 434.712 * * [simplify]: Extracting #6: cost 197 inf + 3302 434.715 * * [simplify]: Extracting #7: cost 169 inf + 7373 434.724 * * [simplify]: Extracting #8: cost 104 inf + 29793 434.743 * * [simplify]: Extracting #9: cost 41 inf + 60047 434.778 * * [simplify]: Extracting #10: cost 4 inf + 93532 434.815 * * [simplify]: Extracting #11: cost 0 inf + 97446 434.841 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 434.841 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 434.842 * * * * [progress]: [ 1394 / 5906 ] simplifiying candidate # 434.842 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 434.843 * * [simplify]: iters left: 6 (48 enodes) 434.855 * * [simplify]: iters left: 5 (230 enodes) 434.904 * * [simplify]: Extracting #0: cost 1 inf + 0 434.904 * * [simplify]: Extracting #1: cost 3 inf + 0 434.904 * * [simplify]: Extracting #2: cost 6 inf + 0 434.904 * * [simplify]: Extracting #3: cost 54 inf + 0 434.904 * * [simplify]: Extracting #4: cost 120 inf + 0 434.904 * * [simplify]: Extracting #5: cost 188 inf + 0 434.905 * * [simplify]: Extracting #6: cost 253 inf + 89 434.906 * * [simplify]: Extracting #7: cost 209 inf + 6272 434.911 * * [simplify]: Extracting #8: cost 140 inf + 21486 434.924 * * [simplify]: Extracting #9: cost 84 inf + 41873 434.941 * * [simplify]: Extracting #10: cost 40 inf + 62738 434.958 * * [simplify]: Extracting #11: cost 4 inf + 101678 434.982 * * [simplify]: Extracting #12: cost 0 inf + 106898 435.011 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))))) 435.011 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 435.011 * * * * [progress]: [ 1395 / 5906 ] simplifiying candidate # 435.012 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 435.012 * * [simplify]: iters left: 6 (49 enodes) 435.024 * * [simplify]: iters left: 5 (239 enodes) 435.110 * * [simplify]: Extracting #0: cost 1 inf + 0 435.110 * * [simplify]: Extracting #1: cost 3 inf + 0 435.110 * * [simplify]: Extracting #2: cost 6 inf + 0 435.110 * * [simplify]: Extracting #3: cost 58 inf + 0 435.111 * * [simplify]: Extracting #4: cost 143 inf + 0 435.111 * * [simplify]: Extracting #5: cost 198 inf + 291 435.114 * * [simplify]: Extracting #6: cost 216 inf + 7145 435.119 * * [simplify]: Extracting #7: cost 185 inf + 14094 435.127 * * [simplify]: Extracting #8: cost 131 inf + 27480 435.141 * * [simplify]: Extracting #9: cost 85 inf + 46483 435.154 * * [simplify]: Extracting #10: cost 54 inf + 58045 435.166 * * [simplify]: Extracting #11: cost 34 inf + 71425 435.196 * * [simplify]: Extracting #12: cost 2 inf + 106465 435.244 * * [simplify]: Extracting #13: cost 0 inf + 109515 435.275 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))))))) 435.275 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 435.275 * * * * [progress]: [ 1396 / 5906 ] simplifiying candidate # 435.276 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 435.276 * * [simplify]: iters left: 6 (49 enodes) 435.291 * * [simplify]: iters left: 5 (239 enodes) 435.364 * * [simplify]: Extracting #0: cost 1 inf + 0 435.365 * * [simplify]: Extracting #1: cost 3 inf + 0 435.365 * * [simplify]: Extracting #2: cost 6 inf + 0 435.365 * * [simplify]: Extracting #3: cost 60 inf + 0 435.365 * * [simplify]: Extracting #4: cost 141 inf + 0 435.366 * * [simplify]: Extracting #5: cost 196 inf + 166 435.369 * * [simplify]: Extracting #6: cost 220 inf + 5287 435.374 * * [simplify]: Extracting #7: cost 182 inf + 14875 435.383 * * [simplify]: Extracting #8: cost 125 inf + 29700 435.397 * * [simplify]: Extracting #9: cost 86 inf + 45153 435.418 * * [simplify]: Extracting #10: cost 38 inf + 67757 435.454 * * [simplify]: Extracting #11: cost 2 inf + 103977 435.497 * * [simplify]: Extracting #12: cost 0 inf + 107027 435.525 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 435.525 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 435.525 * * * * [progress]: [ 1397 / 5906 ] simplifiying candidate # 435.526 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 435.526 * * [simplify]: iters left: 6 (43 enodes) 435.537 * * [simplify]: iters left: 5 (203 enodes) 435.580 * * [simplify]: Extracting #0: cost 1 inf + 0 435.580 * * [simplify]: Extracting #1: cost 3 inf + 0 435.580 * * [simplify]: Extracting #2: cost 6 inf + 0 435.580 * * [simplify]: Extracting #3: cost 52 inf + 0 435.580 * * [simplify]: Extracting #4: cost 109 inf + 0 435.581 * * [simplify]: Extracting #5: cost 142 inf + 250 435.584 * * [simplify]: Extracting #6: cost 186 inf + 2047 435.585 * * [simplify]: Extracting #7: cost 162 inf + 6926 435.589 * * [simplify]: Extracting #8: cost 101 inf + 23513 435.598 * * [simplify]: Extracting #9: cost 44 inf + 49189 435.621 * * [simplify]: Extracting #10: cost 11 inf + 72828 435.652 * * [simplify]: Extracting #11: cost 0 inf + 83526 435.683 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2))))))) 435.683 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 435.684 * * * * [progress]: [ 1398 / 5906 ] simplifiying candidate # 435.685 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 435.685 * * [simplify]: iters left: 6 (48 enodes) 435.710 * * [simplify]: iters left: 5 (231 enodes) 435.784 * * [simplify]: Extracting #0: cost 1 inf + 0 435.784 * * [simplify]: Extracting #1: cost 3 inf + 0 435.784 * * [simplify]: Extracting #2: cost 10 inf + 0 435.784 * * [simplify]: Extracting #3: cost 72 inf + 0 435.785 * * [simplify]: Extracting #4: cost 126 inf + 42 435.785 * * [simplify]: Extracting #5: cost 168 inf + 207 435.786 * * [simplify]: Extracting #6: cost 215 inf + 1924 435.788 * * [simplify]: Extracting #7: cost 186 inf + 8379 435.794 * * [simplify]: Extracting #8: cost 112 inf + 29510 435.810 * * [simplify]: Extracting #9: cost 38 inf + 62650 435.826 * * [simplify]: Extracting #10: cost 4 inf + 91557 435.859 * * [simplify]: Extracting #11: cost 0 inf + 97217 435.897 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 435.897 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 435.898 * * * * [progress]: [ 1399 / 5906 ] simplifiying candidate # 435.898 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 435.899 * * [simplify]: iters left: 6 (43 enodes) 435.921 * * [simplify]: iters left: 5 (203 enodes) 436.002 * * [simplify]: Extracting #0: cost 1 inf + 0 436.002 * * [simplify]: Extracting #1: cost 3 inf + 0 436.002 * * [simplify]: Extracting #2: cost 10 inf + 0 436.002 * * [simplify]: Extracting #3: cost 64 inf + 0 436.002 * * [simplify]: Extracting #4: cost 106 inf + 86 436.003 * * [simplify]: Extracting #5: cost 131 inf + 1107 436.005 * * [simplify]: Extracting #6: cost 180 inf + 2895 436.008 * * [simplify]: Extracting #7: cost 160 inf + 7287 436.015 * * [simplify]: Extracting #8: cost 103 inf + 22255 436.039 * * [simplify]: Extracting #9: cost 24 inf + 65463 436.069 * * [simplify]: Extracting #10: cost 4 inf + 79357 436.086 * * [simplify]: Extracting #11: cost 0 inf + 80216 436.107 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2))))))) 436.107 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 436.108 * * * * [progress]: [ 1400 / 5906 ] simplifiying candidate # 436.108 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 436.109 * * [simplify]: iters left: 6 (48 enodes) 436.135 * * [simplify]: iters left: 5 (231 enodes) 436.230 * * [simplify]: Extracting #0: cost 1 inf + 0 436.230 * * [simplify]: Extracting #1: cost 3 inf + 0 436.230 * * [simplify]: Extracting #2: cost 10 inf + 0 436.230 * * [simplify]: Extracting #3: cost 72 inf + 0 436.231 * * [simplify]: Extracting #4: cost 126 inf + 42 436.232 * * [simplify]: Extracting #5: cost 166 inf + 290 436.234 * * [simplify]: Extracting #6: cost 213 inf + 2247 436.237 * * [simplify]: Extracting #7: cost 186 inf + 8219 436.241 * * [simplify]: Extracting #8: cost 111 inf + 29789 436.251 * * [simplify]: Extracting #9: cost 38 inf + 63530 436.271 * * [simplify]: Extracting #10: cost 4 inf + 92437 436.309 * * [simplify]: Extracting #11: cost 0 inf + 98097 436.346 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 436.346 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 436.347 * * * * [progress]: [ 1401 / 5906 ] simplifiying candidate # 436.347 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 436.347 * * [simplify]: iters left: 6 (43 enodes) 436.358 * * [simplify]: iters left: 5 (203 enodes) 436.423 * * [simplify]: Extracting #0: cost 1 inf + 0 436.423 * * [simplify]: Extracting #1: cost 3 inf + 0 436.423 * * [simplify]: Extracting #2: cost 10 inf + 0 436.424 * * [simplify]: Extracting #3: cost 63 inf + 0 436.424 * * [simplify]: Extracting #4: cost 107 inf + 44 436.425 * * [simplify]: Extracting #5: cost 134 inf + 821 436.427 * * [simplify]: Extracting #6: cost 180 inf + 2814 436.430 * * [simplify]: Extracting #7: cost 158 inf + 7530 436.437 * * [simplify]: Extracting #8: cost 101 inf + 22441 436.458 * * [simplify]: Extracting #9: cost 26 inf + 61973 436.487 * * [simplify]: Extracting #10: cost 6 inf + 75134 436.519 * * [simplify]: Extracting #11: cost 0 inf + 80616 436.538 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2))))))) 436.538 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 436.538 * * * * [progress]: [ 1402 / 5906 ] simplifiying candidate # 436.539 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 436.539 * * [simplify]: iters left: 6 (51 enodes) 436.563 * * [simplify]: iters left: 5 (244 enodes) 436.628 * * [simplify]: Extracting #0: cost 1 inf + 0 436.628 * * [simplify]: Extracting #1: cost 3 inf + 0 436.628 * * [simplify]: Extracting #2: cost 6 inf + 0 436.628 * * [simplify]: Extracting #3: cost 56 inf + 0 436.629 * * [simplify]: Extracting #4: cost 130 inf + 0 436.629 * * [simplify]: Extracting #5: cost 206 inf + 0 436.631 * * [simplify]: Extracting #6: cost 258 inf + 2680 436.637 * * [simplify]: Extracting #7: cost 189 inf + 19167 436.650 * * [simplify]: Extracting #8: cost 129 inf + 43077 436.670 * * [simplify]: Extracting #9: cost 91 inf + 49983 436.693 * * [simplify]: Extracting #10: cost 47 inf + 68993 436.731 * * [simplify]: Extracting #11: cost 4 inf + 115588 436.777 * * [simplify]: Extracting #12: cost 1 inf + 120943 436.815 * * [simplify]: Extracting #13: cost 0 inf + 123008 436.856 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 436.856 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 436.857 * * * * [progress]: [ 1403 / 5906 ] simplifiying candidate # 436.858 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 436.858 * * [simplify]: iters left: 6 (52 enodes) 436.885 * * [simplify]: iters left: 5 (253 enodes) 436.960 * * [simplify]: Extracting #0: cost 1 inf + 0 436.960 * * [simplify]: Extracting #1: cost 3 inf + 0 436.960 * * [simplify]: Extracting #2: cost 6 inf + 0 436.960 * * [simplify]: Extracting #3: cost 60 inf + 0 436.961 * * [simplify]: Extracting #4: cost 153 inf + 0 436.962 * * [simplify]: Extracting #5: cost 220 inf + 44 436.965 * * [simplify]: Extracting #6: cost 248 inf + 4526 436.971 * * [simplify]: Extracting #7: cost 186 inf + 15421 436.984 * * [simplify]: Extracting #8: cost 132 inf + 38402 437.003 * * [simplify]: Extracting #9: cost 89 inf + 56090 437.028 * * [simplify]: Extracting #10: cost 40 inf + 78625 437.072 * * [simplify]: Extracting #11: cost 3 inf + 120670 437.121 * * [simplify]: Extracting #12: cost 1 inf + 124920 437.174 * * [simplify]: Extracting #13: cost 0 inf + 127105 437.222 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 437.222 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 437.223 * * * * [progress]: [ 1404 / 5906 ] simplifiying candidate # 437.223 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 437.224 * * [simplify]: iters left: 6 (52 enodes) 437.249 * * [simplify]: iters left: 5 (253 enodes) 437.319 * * [simplify]: Extracting #0: cost 1 inf + 0 437.320 * * [simplify]: Extracting #1: cost 3 inf + 0 437.320 * * [simplify]: Extracting #2: cost 6 inf + 0 437.320 * * [simplify]: Extracting #3: cost 62 inf + 0 437.320 * * [simplify]: Extracting #4: cost 151 inf + 0 437.321 * * [simplify]: Extracting #5: cost 216 inf + 44 437.322 * * [simplify]: Extracting #6: cost 255 inf + 2704 437.324 * * [simplify]: Extracting #7: cost 191 inf + 13924 437.329 * * [simplify]: Extracting #8: cost 148 inf + 25124 437.335 * * [simplify]: Extracting #9: cost 111 inf + 40569 437.346 * * [simplify]: Extracting #10: cost 54 inf + 66507 437.372 * * [simplify]: Extracting #11: cost 8 inf + 112057 437.421 * * [simplify]: Extracting #12: cost 1 inf + 120152 437.467 * * [simplify]: Extracting #13: cost 0 inf + 122257 437.514 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 437.514 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 437.516 * * * * [progress]: [ 1405 / 5906 ] simplifiying candidate # 437.516 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 437.517 * * [simplify]: iters left: 6 (46 enodes) 437.541 * * [simplify]: iters left: 5 (217 enodes) 437.629 * * [simplify]: Extracting #0: cost 1 inf + 0 437.629 * * [simplify]: Extracting #1: cost 3 inf + 0 437.629 * * [simplify]: Extracting #2: cost 6 inf + 0 437.629 * * [simplify]: Extracting #3: cost 54 inf + 0 437.630 * * [simplify]: Extracting #4: cost 119 inf + 0 437.630 * * [simplify]: Extracting #5: cost 162 inf + 127 437.632 * * [simplify]: Extracting #6: cost 204 inf + 2493 437.636 * * [simplify]: Extracting #7: cost 167 inf + 8625 437.641 * * [simplify]: Extracting #8: cost 102 inf + 32244 437.650 * * [simplify]: Extracting #9: cost 55 inf + 52447 437.667 * * [simplify]: Extracting #10: cost 10 inf + 88266 437.705 * * [simplify]: Extracting #11: cost 0 inf + 100036 437.726 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (+ lambda1 lambda2)) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 437.726 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (+ lambda1 lambda2)) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 437.726 * * * * [progress]: [ 1406 / 5906 ] simplifiying candidate # 437.727 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 437.727 * * [simplify]: iters left: 6 (51 enodes) 437.753 * * [simplify]: iters left: 5 (245 enodes) 437.849 * * [simplify]: Extracting #0: cost 1 inf + 0 437.849 * * [simplify]: Extracting #1: cost 3 inf + 0 437.849 * * [simplify]: Extracting #2: cost 10 inf + 0 437.849 * * [simplify]: Extracting #3: cost 74 inf + 0 437.850 * * [simplify]: Extracting #4: cost 136 inf + 42 437.851 * * [simplify]: Extracting #5: cost 185 inf + 249 437.852 * * [simplify]: Extracting #6: cost 231 inf + 2335 437.856 * * [simplify]: Extracting #7: cost 180 inf + 12294 437.866 * * [simplify]: Extracting #8: cost 134 inf + 31417 437.878 * * [simplify]: Extracting #9: cost 101 inf + 43697 437.894 * * [simplify]: Extracting #10: cost 57 inf + 58902 437.918 * * [simplify]: Extracting #11: cost 28 inf + 82307 437.951 * * [simplify]: Extracting #12: cost 4 inf + 110467 437.976 * * [simplify]: Extracting #13: cost 1 inf + 115702 438.008 * * [simplify]: Extracting #14: cost 0 inf + 117767 438.038 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) 438.038 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 438.039 * * * * [progress]: [ 1407 / 5906 ] simplifiying candidate # 438.039 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 438.039 * * [simplify]: iters left: 6 (46 enodes) 438.053 * * [simplify]: iters left: 5 (217 enodes) 438.140 * * [simplify]: Extracting #0: cost 1 inf + 0 438.140 * * [simplify]: Extracting #1: cost 3 inf + 0 438.140 * * [simplify]: Extracting #2: cost 10 inf + 0 438.140 * * [simplify]: Extracting #3: cost 66 inf + 0 438.140 * * [simplify]: Extracting #4: cost 117 inf + 44 438.141 * * [simplify]: Extracting #5: cost 149 inf + 1026 438.142 * * [simplify]: Extracting #6: cost 197 inf + 3302 438.144 * * [simplify]: Extracting #7: cost 151 inf + 13215 438.150 * * [simplify]: Extracting #8: cost 89 inf + 39497 438.159 * * [simplify]: Extracting #9: cost 50 inf + 54982 438.179 * * [simplify]: Extracting #10: cost 17 inf + 75501 438.198 * * [simplify]: Extracting #11: cost 3 inf + 90371 438.230 * * [simplify]: Extracting #12: cost 0 inf + 95806 438.267 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 438.267 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 438.268 * * * * [progress]: [ 1408 / 5906 ] simplifiying candidate # 438.269 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 438.269 * * [simplify]: iters left: 6 (51 enodes) 438.284 * * [simplify]: iters left: 5 (245 enodes) 438.364 * * [simplify]: Extracting #0: cost 1 inf + 0 438.364 * * [simplify]: Extracting #1: cost 3 inf + 0 438.364 * * [simplify]: Extracting #2: cost 10 inf + 0 438.365 * * [simplify]: Extracting #3: cost 74 inf + 0 438.365 * * [simplify]: Extracting #4: cost 136 inf + 42 438.365 * * [simplify]: Extracting #5: cost 186 inf + 207 438.366 * * [simplify]: Extracting #6: cost 230 inf + 2697 438.369 * * [simplify]: Extracting #7: cost 179 inf + 12094 438.374 * * [simplify]: Extracting #8: cost 135 inf + 30693 438.381 * * [simplify]: Extracting #9: cost 100 inf + 44840 438.391 * * [simplify]: Extracting #10: cost 58 inf + 59357 438.416 * * [simplify]: Extracting #11: cost 29 inf + 82242 438.458 * * [simplify]: Extracting #12: cost 4 inf + 111427 438.498 * * [simplify]: Extracting #13: cost 1 inf + 116662 438.527 * * [simplify]: Extracting #14: cost 0 inf + 118727 438.572 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 438.573 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 438.573 * * * * [progress]: [ 1409 / 5906 ] simplifiying candidate # 438.574 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 438.574 * * [simplify]: iters left: 6 (46 enodes) 438.597 * * [simplify]: iters left: 5 (217 enodes) 438.670 * * [simplify]: Extracting #0: cost 1 inf + 0 438.670 * * [simplify]: Extracting #1: cost 3 inf + 0 438.670 * * [simplify]: Extracting #2: cost 10 inf + 0 438.670 * * [simplify]: Extracting #3: cost 65 inf + 0 438.671 * * [simplify]: Extracting #4: cost 117 inf + 44 438.672 * * [simplify]: Extracting #5: cost 144 inf + 1756 438.674 * * [simplify]: Extracting #6: cost 197 inf + 3302 438.678 * * [simplify]: Extracting #7: cost 152 inf + 12891 438.690 * * [simplify]: Extracting #8: cost 89 inf + 41154 438.709 * * [simplify]: Extracting #9: cost 49 inf + 56127 438.731 * * [simplify]: Extracting #10: cost 24 inf + 68846 438.763 * * [simplify]: Extracting #11: cost 3 inf + 90091 438.786 * * [simplify]: Extracting #12: cost 0 inf + 95406 438.813 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 438.813 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 438.814 * * * * [progress]: [ 1410 / 5906 ] simplifiying candidate # 438.815 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 438.815 * * [simplify]: iters left: 6 (50 enodes) 438.841 * * [simplify]: iters left: 5 (239 enodes) 438.936 * * [simplify]: Extracting #0: cost 1 inf + 0 438.936 * * [simplify]: Extracting #1: cost 3 inf + 0 438.936 * * [simplify]: Extracting #2: cost 6 inf + 0 438.936 * * [simplify]: Extracting #3: cost 57 inf + 0 438.937 * * [simplify]: Extracting #4: cost 128 inf + 0 438.938 * * [simplify]: Extracting #5: cost 195 inf + 0 438.939 * * [simplify]: Extracting #6: cost 257 inf + 2739 438.942 * * [simplify]: Extracting #7: cost 204 inf + 12127 438.951 * * [simplify]: Extracting #8: cost 139 inf + 26920 438.964 * * [simplify]: Extracting #9: cost 95 inf + 43978 438.985 * * [simplify]: Extracting #10: cost 41 inf + 68735 439.022 * * [simplify]: Extracting #11: cost 3 inf + 109205 439.055 * * [simplify]: Extracting #12: cost 0 inf + 114040 439.081 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (+ lambda1 lambda2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 439.081 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (+ lambda1 lambda2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 439.082 * * * * [progress]: [ 1411 / 5906 ] simplifiying candidate # 439.082 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 439.082 * * [simplify]: iters left: 6 (51 enodes) 439.096 * * [simplify]: iters left: 5 (248 enodes) 439.172 * * [simplify]: Extracting #0: cost 1 inf + 0 439.172 * * [simplify]: Extracting #1: cost 3 inf + 0 439.172 * * [simplify]: Extracting #2: cost 6 inf + 0 439.172 * * [simplify]: Extracting #3: cost 61 inf + 0 439.172 * * [simplify]: Extracting #4: cost 151 inf + 0 439.173 * * [simplify]: Extracting #5: cost 209 inf + 44 439.176 * * [simplify]: Extracting #6: cost 240 inf + 4844 439.181 * * [simplify]: Extracting #7: cost 196 inf + 13275 439.191 * * [simplify]: Extracting #8: cost 137 inf + 29725 439.206 * * [simplify]: Extracting #9: cost 93 inf + 49925 439.233 * * [simplify]: Extracting #10: cost 28 inf + 86557 439.271 * * [simplify]: Extracting #11: cost 4 inf + 109677 439.297 * * [simplify]: Extracting #12: cost 0 inf + 113697 439.928 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2)))))) 439.928 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 439.929 * * * * [progress]: [ 1412 / 5906 ] simplifiying candidate # 439.929 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 439.929 * * [simplify]: iters left: 6 (51 enodes) 439.942 * * [simplify]: iters left: 5 (248 enodes) 440.005 * * [simplify]: Extracting #0: cost 1 inf + 0 440.005 * * [simplify]: Extracting #1: cost 3 inf + 0 440.005 * * [simplify]: Extracting #2: cost 6 inf + 0 440.005 * * [simplify]: Extracting #3: cost 63 inf + 0 440.006 * * [simplify]: Extracting #4: cost 149 inf + 0 440.007 * * [simplify]: Extracting #5: cost 205 inf + 44 440.009 * * [simplify]: Extracting #6: cost 242 inf + 3712 440.014 * * [simplify]: Extracting #7: cost 191 inf + 13879 440.020 * * [simplify]: Extracting #8: cost 147 inf + 23481 440.026 * * [simplify]: Extracting #9: cost 105 inf + 39712 440.042 * * [simplify]: Extracting #10: cost 19 inf + 92094 440.063 * * [simplify]: Extracting #11: cost 1 inf + 109424 440.100 * * [simplify]: Extracting #12: cost 0 inf + 111249 440.145 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2)))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 440.145 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2)))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 440.146 * * * * [progress]: [ 1413 / 5906 ] simplifiying candidate # 440.146 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 440.147 * * [simplify]: iters left: 6 (45 enodes) 440.170 * * [simplify]: iters left: 5 (212 enodes) 440.249 * * [simplify]: Extracting #0: cost 1 inf + 0 440.249 * * [simplify]: Extracting #1: cost 3 inf + 0 440.250 * * [simplify]: Extracting #2: cost 6 inf + 0 440.250 * * [simplify]: Extracting #3: cost 55 inf + 0 440.250 * * [simplify]: Extracting #4: cost 117 inf + 0 440.251 * * [simplify]: Extracting #5: cost 153 inf + 44 440.252 * * [simplify]: Extracting #6: cost 205 inf + 1117 440.255 * * [simplify]: Extracting #7: cost 171 inf + 7369 440.266 * * [simplify]: Extracting #8: cost 125 inf + 21773 440.279 * * [simplify]: Extracting #9: cost 85 inf + 38018 440.304 * * [simplify]: Extracting #10: cost 15 inf + 77377 440.338 * * [simplify]: Extracting #11: cost 0 inf + 90468 440.373 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) 440.374 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 440.374 * * * * [progress]: [ 1414 / 5906 ] simplifiying candidate # 440.375 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 440.376 * * [simplify]: iters left: 6 (50 enodes) 440.401 * * [simplify]: iters left: 5 (240 enodes) 440.485 * * [simplify]: Extracting #0: cost 1 inf + 0 440.485 * * [simplify]: Extracting #1: cost 3 inf + 0 440.485 * * [simplify]: Extracting #2: cost 10 inf + 0 440.485 * * [simplify]: Extracting #3: cost 75 inf + 0 440.485 * * [simplify]: Extracting #4: cost 142 inf + 1 440.486 * * [simplify]: Extracting #5: cost 181 inf + 249 440.487 * * [simplify]: Extracting #6: cost 226 inf + 3183 440.489 * * [simplify]: Extracting #7: cost 188 inf + 11973 440.494 * * [simplify]: Extracting #8: cost 116 inf + 33516 440.511 * * [simplify]: Extracting #9: cost 10 inf + 98065 440.535 * * [simplify]: Extracting #10: cost 1 inf + 106389 440.576 * * [simplify]: Extracting #11: cost 0 inf + 107814 440.614 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 440.614 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 440.615 * * * * [progress]: [ 1415 / 5906 ] simplifiying candidate # 440.615 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 440.615 * * [simplify]: iters left: 6 (45 enodes) 440.639 * * [simplify]: iters left: 5 (212 enodes) 440.717 * * [simplify]: Extracting #0: cost 1 inf + 0 440.717 * * [simplify]: Extracting #1: cost 3 inf + 0 440.717 * * [simplify]: Extracting #2: cost 10 inf + 0 440.717 * * [simplify]: Extracting #3: cost 67 inf + 0 440.718 * * [simplify]: Extracting #4: cost 121 inf + 86 440.718 * * [simplify]: Extracting #5: cost 141 inf + 1714 440.719 * * [simplify]: Extracting #6: cost 199 inf + 2976 440.721 * * [simplify]: Extracting #7: cost 180 inf + 7325 440.726 * * [simplify]: Extracting #8: cost 96 inf + 34017 440.737 * * [simplify]: Extracting #9: cost 35 inf + 63284 440.757 * * [simplify]: Extracting #10: cost 2 inf + 87403 440.774 * * [simplify]: Extracting #11: cost 1 inf + 88948 440.803 * * [simplify]: Extracting #12: cost 0 inf + 90493 440.848 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 440.848 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 440.849 * * * * [progress]: [ 1416 / 5906 ] simplifiying candidate # 440.850 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 440.850 * * [simplify]: iters left: 6 (50 enodes) 440.876 * * [simplify]: iters left: 5 (240 enodes) 440.945 * * [simplify]: Extracting #0: cost 1 inf + 0 440.945 * * [simplify]: Extracting #1: cost 3 inf + 0 440.945 * * [simplify]: Extracting #2: cost 10 inf + 0 440.945 * * [simplify]: Extracting #3: cost 75 inf + 0 440.945 * * [simplify]: Extracting #4: cost 142 inf + 1 440.946 * * [simplify]: Extracting #5: cost 182 inf + 207 440.947 * * [simplify]: Extracting #6: cost 227 inf + 2981 440.949 * * [simplify]: Extracting #7: cost 188 inf + 12173 440.954 * * [simplify]: Extracting #8: cost 113 inf + 34929 440.971 * * [simplify]: Extracting #9: cost 11 inf + 97960 441.010 * * [simplify]: Extracting #10: cost 1 inf + 107349 441.033 * * [simplify]: Extracting #11: cost 0 inf + 108774 441.065 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (+ lambda1 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 441.065 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (+ lambda1 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 441.066 * * * * [progress]: [ 1417 / 5906 ] simplifiying candidate # 441.067 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 441.068 * * [simplify]: iters left: 6 (45 enodes) 441.083 * * [simplify]: iters left: 5 (212 enodes) 441.143 * * [simplify]: Extracting #0: cost 1 inf + 0 441.143 * * [simplify]: Extracting #1: cost 3 inf + 0 441.143 * * [simplify]: Extracting #2: cost 10 inf + 0 441.144 * * [simplify]: Extracting #3: cost 66 inf + 0 441.144 * * [simplify]: Extracting #4: cost 122 inf + 44 441.145 * * [simplify]: Extracting #5: cost 146 inf + 985 441.147 * * [simplify]: Extracting #6: cost 199 inf + 2976 441.150 * * [simplify]: Extracting #7: cost 181 inf + 7001 441.159 * * [simplify]: Extracting #8: cost 103 inf + 31210 441.170 * * [simplify]: Extracting #9: cost 37 inf + 62756 441.187 * * [simplify]: Extracting #10: cost 2 inf + 87803 441.203 * * [simplify]: Extracting #11: cost 1 inf + 89348 441.236 * * [simplify]: Extracting #12: cost 0 inf + 90893 441.259 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 441.259 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 441.259 * * * * [progress]: [ 1418 / 5906 ] simplifiying candidate # 441.260 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 441.260 * * [simplify]: iters left: 6 (52 enodes) 441.273 * * [simplify]: iters left: 5 (254 enodes) 441.370 * * [simplify]: Extracting #0: cost 1 inf + 0 441.370 * * [simplify]: Extracting #1: cost 3 inf + 0 441.370 * * [simplify]: Extracting #2: cost 6 inf + 0 441.370 * * [simplify]: Extracting #3: cost 56 inf + 0 441.370 * * [simplify]: Extracting #4: cost 130 inf + 0 441.371 * * [simplify]: Extracting #5: cost 215 inf + 0 441.372 * * [simplify]: Extracting #6: cost 304 inf + 933 441.373 * * [simplify]: Extracting #7: cost 249 inf + 9649 441.378 * * [simplify]: Extracting #8: cost 156 inf + 34627 441.388 * * [simplify]: Extracting #9: cost 95 inf + 54990 441.411 * * [simplify]: Extracting #10: cost 54 inf + 71898 441.434 * * [simplify]: Extracting #11: cost 39 inf + 81873 441.455 * * [simplify]: Extracting #12: cost 8 inf + 118848 441.505 * * [simplify]: Extracting #13: cost 1 inf + 128663 441.545 * * [simplify]: Extracting #14: cost 0 inf + 130768 441.583 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 441.583 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 441.584 * * * * [progress]: [ 1419 / 5906 ] simplifiying candidate # 441.585 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 441.585 * * [simplify]: iters left: 6 (53 enodes) 441.611 * * [simplify]: iters left: 5 (263 enodes) 441.725 * * [simplify]: Extracting #0: cost 1 inf + 0 441.725 * * [simplify]: Extracting #1: cost 3 inf + 0 441.725 * * [simplify]: Extracting #2: cost 6 inf + 0 441.725 * * [simplify]: Extracting #3: cost 60 inf + 0 441.725 * * [simplify]: Extracting #4: cost 153 inf + 0 441.726 * * [simplify]: Extracting #5: cost 228 inf + 86 441.729 * * [simplify]: Extracting #6: cost 284 inf + 4036 441.734 * * [simplify]: Extracting #7: cost 260 inf + 9052 441.743 * * [simplify]: Extracting #8: cost 174 inf + 27032 441.765 * * [simplify]: Extracting #9: cost 70 inf + 67997 441.809 * * [simplify]: Extracting #10: cost 11 inf + 121950 441.842 * * [simplify]: Extracting #11: cost 0 inf + 133625 441.878 * * [simplify]: Extracting #12: cost 0 inf + 133465 441.913 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 441.914 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 441.914 * * * * [progress]: [ 1420 / 5906 ] simplifiying candidate # 441.915 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 441.915 * * [simplify]: iters left: 6 (53 enodes) 441.928 * * [simplify]: iters left: 5 (263 enodes) 442.029 * * [simplify]: Extracting #0: cost 1 inf + 0 442.029 * * [simplify]: Extracting #1: cost 3 inf + 0 442.029 * * [simplify]: Extracting #2: cost 6 inf + 0 442.029 * * [simplify]: Extracting #3: cost 62 inf + 0 442.029 * * [simplify]: Extracting #4: cost 151 inf + 0 442.030 * * [simplify]: Extracting #5: cost 224 inf + 86 442.031 * * [simplify]: Extracting #6: cost 280 inf + 4556 442.034 * * [simplify]: Extracting #7: cost 237 inf + 12451 442.039 * * [simplify]: Extracting #8: cost 172 inf + 27128 442.048 * * [simplify]: Extracting #9: cost 100 inf + 55363 442.070 * * [simplify]: Extracting #10: cost 53 inf + 77574 442.101 * * [simplify]: Extracting #11: cost 37 inf + 86052 442.124 * * [simplify]: Extracting #12: cost 4 inf + 124437 442.173 * * [simplify]: Extracting #13: cost 0 inf + 131137 442.225 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 442.225 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 442.226 * * * * [progress]: [ 1421 / 5906 ] simplifiying candidate # 442.226 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 442.227 * * [simplify]: iters left: 6 (47 enodes) 442.239 * * [simplify]: iters left: 5 (227 enodes) 442.298 * * [simplify]: Extracting #0: cost 1 inf + 0 442.298 * * [simplify]: Extracting #1: cost 3 inf + 0 442.298 * * [simplify]: Extracting #2: cost 6 inf + 0 442.298 * * [simplify]: Extracting #3: cost 54 inf + 0 442.299 * * [simplify]: Extracting #4: cost 119 inf + 0 442.299 * * [simplify]: Extracting #5: cost 173 inf + 44 442.301 * * [simplify]: Extracting #6: cost 247 inf + 1032 442.303 * * [simplify]: Extracting #7: cost 233 inf + 3711 442.309 * * [simplify]: Extracting #8: cost 171 inf + 13838 442.319 * * [simplify]: Extracting #9: cost 118 inf + 30228 442.340 * * [simplify]: Extracting #10: cost 48 inf + 62073 442.377 * * [simplify]: Extracting #11: cost 7 inf + 97781 442.418 * * [simplify]: Extracting #12: cost 1 inf + 105811 442.461 * * [simplify]: Extracting #13: cost 0 inf + 107756 442.499 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) 442.499 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 442.500 * * * * [progress]: [ 1422 / 5906 ] simplifiying candidate # 442.500 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 442.500 * * [simplify]: iters left: 6 (52 enodes) 442.514 * * [simplify]: iters left: 5 (255 enodes) 442.592 * * [simplify]: Extracting #0: cost 1 inf + 0 442.592 * * [simplify]: Extracting #1: cost 3 inf + 0 442.592 * * [simplify]: Extracting #2: cost 10 inf + 0 442.593 * * [simplify]: Extracting #3: cost 74 inf + 0 442.593 * * [simplify]: Extracting #4: cost 137 inf + 1 442.593 * * [simplify]: Extracting #5: cost 194 inf + 248 442.595 * * [simplify]: Extracting #6: cost 265 inf + 3171 442.596 * * [simplify]: Extracting #7: cost 242 inf + 7958 442.599 * * [simplify]: Extracting #8: cost 183 inf + 17670 442.609 * * [simplify]: Extracting #9: cost 117 inf + 37997 442.624 * * [simplify]: Extracting #10: cost 57 inf + 66973 442.652 * * [simplify]: Extracting #11: cost 7 inf + 112472 442.678 * * [simplify]: Extracting #12: cost 1 inf + 120982 442.717 * * [simplify]: Extracting #13: cost 0 inf + 123047 442.750 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 442.750 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 442.751 * * * * [progress]: [ 1423 / 5906 ] simplifiying candidate # 442.752 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 442.753 * * [simplify]: iters left: 6 (47 enodes) 442.779 * * [simplify]: iters left: 5 (227 enodes) 442.844 * * [simplify]: Extracting #0: cost 1 inf + 0 442.844 * * [simplify]: Extracting #1: cost 3 inf + 0 442.844 * * [simplify]: Extracting #2: cost 10 inf + 0 442.844 * * [simplify]: Extracting #3: cost 66 inf + 0 442.844 * * [simplify]: Extracting #4: cost 117 inf + 44 442.845 * * [simplify]: Extracting #5: cost 157 inf + 1228 442.846 * * [simplify]: Extracting #6: cost 234 inf + 2932 442.847 * * [simplify]: Extracting #7: cost 224 inf + 4884 442.854 * * [simplify]: Extracting #8: cost 135 inf + 25767 442.874 * * [simplify]: Extracting #9: cost 63 inf + 57724 442.892 * * [simplify]: Extracting #10: cost 16 inf + 87272 442.911 * * [simplify]: Extracting #11: cost 3 inf + 98251 442.936 * * [simplify]: Extracting #12: cost 1 inf + 101941 442.977 * * [simplify]: Extracting #13: cost 0 inf + 103806 443.018 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)))))) 443.018 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 443.019 * * * * [progress]: [ 1424 / 5906 ] simplifiying candidate # 443.020 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 443.021 * * [simplify]: iters left: 6 (52 enodes) 443.048 * * [simplify]: iters left: 5 (255 enodes) 443.154 * * [simplify]: Extracting #0: cost 1 inf + 0 443.154 * * [simplify]: Extracting #1: cost 3 inf + 0 443.154 * * [simplify]: Extracting #2: cost 10 inf + 0 443.155 * * [simplify]: Extracting #3: cost 74 inf + 0 443.155 * * [simplify]: Extracting #4: cost 137 inf + 1 443.156 * * [simplify]: Extracting #5: cost 194 inf + 248 443.158 * * [simplify]: Extracting #6: cost 268 inf + 2084 443.161 * * [simplify]: Extracting #7: cost 246 inf + 6950 443.170 * * [simplify]: Extracting #8: cost 184 inf + 17628 443.182 * * [simplify]: Extracting #9: cost 118 inf + 37572 443.200 * * [simplify]: Extracting #10: cost 57 inf + 67933 443.220 * * [simplify]: Extracting #11: cost 7 inf + 113432 443.245 * * [simplify]: Extracting #12: cost 1 inf + 121942 443.271 * * [simplify]: Extracting #13: cost 0 inf + 124007 443.298 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 443.298 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 443.298 * * * * [progress]: [ 1425 / 5906 ] simplifiying candidate # 443.299 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 443.299 * * [simplify]: iters left: 6 (47 enodes) 443.321 * * [simplify]: iters left: 5 (227 enodes) 443.391 * * [simplify]: Extracting #0: cost 1 inf + 0 443.391 * * [simplify]: Extracting #1: cost 3 inf + 0 443.391 * * [simplify]: Extracting #2: cost 10 inf + 0 443.391 * * [simplify]: Extracting #3: cost 65 inf + 0 443.392 * * [simplify]: Extracting #4: cost 116 inf + 86 443.392 * * [simplify]: Extracting #5: cost 154 inf + 1755 443.396 * * [simplify]: Extracting #6: cost 234 inf + 2932 443.398 * * [simplify]: Extracting #7: cost 228 inf + 4356 443.402 * * [simplify]: Extracting #8: cost 132 inf + 26293 443.412 * * [simplify]: Extracting #9: cost 64 inf + 57339 443.434 * * [simplify]: Extracting #10: cost 16 inf + 87672 443.471 * * [simplify]: Extracting #11: cost 3 inf + 98651 443.511 * * [simplify]: Extracting #12: cost 1 inf + 102341 443.551 * * [simplify]: Extracting #13: cost 0 inf + 104206 443.592 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)))))) 443.592 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 443.593 * * * * [progress]: [ 1426 / 5906 ] simplifiying candidate # 443.594 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 443.595 * * [simplify]: iters left: 6 (52 enodes) 443.622 * * [simplify]: iters left: 5 (250 enodes) 443.724 * * [simplify]: Extracting #0: cost 1 inf + 0 443.724 * * [simplify]: Extracting #1: cost 3 inf + 0 443.724 * * [simplify]: Extracting #2: cost 6 inf + 0 443.724 * * [simplify]: Extracting #3: cost 53 inf + 0 443.725 * * [simplify]: Extracting #4: cost 118 inf + 0 443.726 * * [simplify]: Extracting #5: cost 186 inf + 0 443.727 * * [simplify]: Extracting #6: cost 264 inf + 1688 443.731 * * [simplify]: Extracting #7: cost 200 inf + 12982 443.741 * * [simplify]: Extracting #8: cost 133 inf + 28904 443.757 * * [simplify]: Extracting #9: cost 85 inf + 45446 443.773 * * [simplify]: Extracting #10: cost 48 inf + 61158 443.792 * * [simplify]: Extracting #11: cost 6 inf + 100208 443.830 * * [simplify]: Extracting #12: cost 1 inf + 105653 443.868 * * [simplify]: Extracting #13: cost 0 inf + 107398 443.891 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) 443.891 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 443.892 * * * * [progress]: [ 1427 / 5906 ] simplifiying candidate # 443.892 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 443.893 * * [simplify]: iters left: 6 (53 enodes) 443.921 * * [simplify]: iters left: 5 (259 enodes) 444.028 * * [simplify]: Extracting #0: cost 1 inf + 0 444.028 * * [simplify]: Extracting #1: cost 3 inf + 0 444.029 * * [simplify]: Extracting #2: cost 6 inf + 0 444.029 * * [simplify]: Extracting #3: cost 56 inf + 0 444.029 * * [simplify]: Extracting #4: cost 140 inf + 0 444.030 * * [simplify]: Extracting #5: cost 198 inf + 85 444.032 * * [simplify]: Extracting #6: cost 251 inf + 2943 444.037 * * [simplify]: Extracting #7: cost 211 inf + 10912 444.041 * * [simplify]: Extracting #8: cost 151 inf + 21077 444.047 * * [simplify]: Extracting #9: cost 99 inf + 38626 444.058 * * [simplify]: Extracting #10: cost 46 inf + 65960 444.084 * * [simplify]: Extracting #11: cost 7 inf + 103455 444.115 * * [simplify]: Extracting #12: cost 0 inf + 112470 444.144 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 444.144 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 444.145 * * * * [progress]: [ 1428 / 5906 ] simplifiying candidate # 444.146 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 444.146 * * [simplify]: iters left: 6 (53 enodes) 444.174 * * [simplify]: iters left: 5 (259 enodes) 444.268 * * [simplify]: Extracting #0: cost 1 inf + 0 444.268 * * [simplify]: Extracting #1: cost 3 inf + 0 444.268 * * [simplify]: Extracting #2: cost 6 inf + 0 444.268 * * [simplify]: Extracting #3: cost 58 inf + 0 444.269 * * [simplify]: Extracting #4: cost 138 inf + 0 444.269 * * [simplify]: Extracting #5: cost 195 inf + 44 444.270 * * [simplify]: Extracting #6: cost 244 inf + 4192 444.273 * * [simplify]: Extracting #7: cost 194 inf + 13137 444.279 * * [simplify]: Extracting #8: cost 132 inf + 32785 444.288 * * [simplify]: Extracting #9: cost 80 inf + 53031 444.299 * * [simplify]: Extracting #10: cost 46 inf + 64472 444.319 * * [simplify]: Extracting #11: cost 10 inf + 98092 444.360 * * [simplify]: Extracting #12: cost 0 inf + 110182 444.383 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 444.383 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 444.384 * * * * [progress]: [ 1429 / 5906 ] simplifiying candidate # 444.384 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 444.384 * * [simplify]: iters left: 6 (47 enodes) 444.397 * * [simplify]: iters left: 5 (222 enodes) 444.463 * * [simplify]: Extracting #0: cost 1 inf + 0 444.463 * * [simplify]: Extracting #1: cost 3 inf + 0 444.463 * * [simplify]: Extracting #2: cost 6 inf + 0 444.463 * * [simplify]: Extracting #3: cost 50 inf + 0 444.464 * * [simplify]: Extracting #4: cost 107 inf + 0 444.464 * * [simplify]: Extracting #5: cost 139 inf + 454 444.465 * * [simplify]: Extracting #6: cost 202 inf + 2246 444.467 * * [simplify]: Extracting #7: cost 188 inf + 4604 444.470 * * [simplify]: Extracting #8: cost 125 inf + 17372 444.478 * * [simplify]: Extracting #9: cost 57 inf + 45864 444.493 * * [simplify]: Extracting #10: cost 12 inf + 77569 444.514 * * [simplify]: Extracting #11: cost 0 inf + 88403 444.549 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 444.550 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 444.551 * * * * [progress]: [ 1430 / 5906 ] simplifiying candidate # 444.551 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 444.552 * * [simplify]: iters left: 6 (52 enodes) 444.571 * * [simplify]: iters left: 5 (250 enodes) 444.650 * * [simplify]: Extracting #0: cost 1 inf + 0 444.650 * * [simplify]: Extracting #1: cost 3 inf + 0 444.650 * * [simplify]: Extracting #2: cost 10 inf + 0 444.651 * * [simplify]: Extracting #3: cost 66 inf + 0 444.651 * * [simplify]: Extracting #4: cost 126 inf + 1 444.652 * * [simplify]: Extracting #5: cost 167 inf + 207 444.654 * * [simplify]: Extracting #6: cost 236 inf + 1757 444.656 * * [simplify]: Extracting #7: cost 213 inf + 5210 444.663 * * [simplify]: Extracting #8: cost 135 inf + 22495 444.677 * * [simplify]: Extracting #9: cost 73 inf + 46342 444.702 * * [simplify]: Extracting #10: cost 12 inf + 93952 444.725 * * [simplify]: Extracting #11: cost 3 inf + 100949 444.750 * * [simplify]: Extracting #12: cost 0 inf + 104062 444.777 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 444.777 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 444.778 * * * * [progress]: [ 1431 / 5906 ] simplifiying candidate # 444.779 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 444.779 * * [simplify]: iters left: 6 (47 enodes) 444.804 * * [simplify]: iters left: 5 (223 enodes) 444.891 * * [simplify]: Extracting #0: cost 1 inf + 0 444.891 * * [simplify]: Extracting #1: cost 3 inf + 0 444.891 * * [simplify]: Extracting #2: cost 10 inf + 0 444.891 * * [simplify]: Extracting #3: cost 57 inf + 0 444.891 * * [simplify]: Extracting #4: cost 105 inf + 44 444.892 * * [simplify]: Extracting #5: cost 132 inf + 862 444.893 * * [simplify]: Extracting #6: cost 197 inf + 2932 444.894 * * [simplify]: Extracting #7: cost 188 inf + 5044 444.897 * * [simplify]: Extracting #8: cost 123 inf + 18491 444.906 * * [simplify]: Extracting #9: cost 56 inf + 47642 444.924 * * [simplify]: Extracting #10: cost 7 inf + 79137 444.958 * * [simplify]: Extracting #11: cost 0 inf + 86099 444.988 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ phi1 phi2))))) 444.988 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 444.989 * * * * [progress]: [ 1432 / 5906 ] simplifiying candidate # 444.989 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 444.990 * * [simplify]: iters left: 6 (52 enodes) 445.003 * * [simplify]: iters left: 5 (250 enodes) 445.070 * * [simplify]: Extracting #0: cost 1 inf + 0 445.070 * * [simplify]: Extracting #1: cost 3 inf + 0 445.070 * * [simplify]: Extracting #2: cost 10 inf + 0 445.071 * * [simplify]: Extracting #3: cost 66 inf + 0 445.071 * * [simplify]: Extracting #4: cost 126 inf + 1 445.071 * * [simplify]: Extracting #5: cost 167 inf + 207 445.072 * * [simplify]: Extracting #6: cost 235 inf + 1877 445.073 * * [simplify]: Extracting #7: cost 213 inf + 4849 445.077 * * [simplify]: Extracting #8: cost 136 inf + 22083 445.084 * * [simplify]: Extracting #9: cost 74 inf + 45578 445.099 * * [simplify]: Extracting #10: cost 16 inf + 88233 445.125 * * [simplify]: Extracting #11: cost 4 inf + 99804 445.166 * * [simplify]: Extracting #12: cost 1 inf + 103077 445.200 * * [simplify]: Extracting #13: cost 0 inf + 104862 445.224 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 445.224 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 445.226 * * * * [progress]: [ 1433 / 5906 ] simplifiying candidate # 445.226 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 445.227 * * [simplify]: iters left: 6 (47 enodes) 445.251 * * [simplify]: iters left: 5 (223 enodes) 445.333 * * [simplify]: Extracting #0: cost 1 inf + 0 445.333 * * [simplify]: Extracting #1: cost 3 inf + 0 445.333 * * [simplify]: Extracting #2: cost 10 inf + 0 445.333 * * [simplify]: Extracting #3: cost 56 inf + 0 445.334 * * [simplify]: Extracting #4: cost 104 inf + 86 445.335 * * [simplify]: Extracting #5: cost 128 inf + 1350 445.340 * * [simplify]: Extracting #6: cost 197 inf + 2932 445.343 * * [simplify]: Extracting #7: cost 187 inf + 5287 445.349 * * [simplify]: Extracting #8: cost 123 inf + 18652 445.365 * * [simplify]: Extracting #9: cost 59 inf + 46974 445.393 * * [simplify]: Extracting #10: cost 7 inf + 79737 445.412 * * [simplify]: Extracting #11: cost 0 inf + 86579 445.436 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ phi1 phi2))))) 445.437 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 445.437 * * * * [progress]: [ 1434 / 5906 ] simplifiying candidate # 445.438 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 445.439 * * [simplify]: iters left: 6 (48 enodes) 445.462 * * [simplify]: iters left: 5 (227 enodes) 445.526 * * [simplify]: Extracting #0: cost 1 inf + 0 445.526 * * [simplify]: Extracting #1: cost 3 inf + 0 445.526 * * [simplify]: Extracting #2: cost 6 inf + 0 445.526 * * [simplify]: Extracting #3: cost 48 inf + 0 445.526 * * [simplify]: Extracting #4: cost 112 inf + 0 445.527 * * [simplify]: Extracting #5: cost 184 inf + 0 445.527 * * [simplify]: Extracting #6: cost 251 inf + 45 445.528 * * [simplify]: Extracting #7: cost 214 inf + 4429 445.533 * * [simplify]: Extracting #8: cost 107 inf + 29433 445.542 * * [simplify]: Extracting #9: cost 47 inf + 56991 445.571 * * [simplify]: Extracting #10: cost 5 inf + 97689 445.603 * * [simplify]: Extracting #11: cost 0 inf + 103334 445.635 * * [simplify]: Extracting #12: cost 0 inf + 103254 445.677 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 445.677 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 445.679 * * * * [progress]: [ 1435 / 5906 ] simplifiying candidate # 445.679 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 445.680 * * [simplify]: iters left: 6 (49 enodes) 445.704 * * [simplify]: iters left: 5 (236 enodes) 445.776 * * [simplify]: Extracting #0: cost 1 inf + 0 445.776 * * [simplify]: Extracting #1: cost 3 inf + 0 445.776 * * [simplify]: Extracting #2: cost 6 inf + 0 445.776 * * [simplify]: Extracting #3: cost 52 inf + 0 445.776 * * [simplify]: Extracting #4: cost 135 inf + 0 445.777 * * [simplify]: Extracting #5: cost 196 inf + 127 445.779 * * [simplify]: Extracting #6: cost 225 inf + 4520 445.784 * * [simplify]: Extracting #7: cost 189 inf + 10639 445.791 * * [simplify]: Extracting #8: cost 115 inf + 31393 445.801 * * [simplify]: Extracting #9: cost 47 inf + 60843 445.819 * * [simplify]: Extracting #10: cost 9 inf + 95046 445.862 * * [simplify]: Extracting #11: cost 0 inf + 104471 445.903 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi1 phi2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 445.903 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi1 phi2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 445.904 * * * * [progress]: [ 1436 / 5906 ] simplifiying candidate # 445.904 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 445.905 * * [simplify]: iters left: 6 (49 enodes) 445.930 * * [simplify]: iters left: 5 (236 enodes) 445.989 * * [simplify]: Extracting #0: cost 1 inf + 0 445.989 * * [simplify]: Extracting #1: cost 3 inf + 0 445.989 * * [simplify]: Extracting #2: cost 6 inf + 0 445.990 * * [simplify]: Extracting #3: cost 54 inf + 0 445.990 * * [simplify]: Extracting #4: cost 133 inf + 0 445.990 * * [simplify]: Extracting #5: cost 191 inf + 208 445.991 * * [simplify]: Extracting #6: cost 221 inf + 4879 445.994 * * [simplify]: Extracting #7: cost 183 inf + 11523 445.998 * * [simplify]: Extracting #8: cost 119 inf + 28136 446.014 * * [simplify]: Extracting #9: cost 53 inf + 55212 446.037 * * [simplify]: Extracting #10: cost 32 inf + 69703 446.075 * * [simplify]: Extracting #11: cost 1 inf + 101798 446.116 * * [simplify]: Extracting #12: cost 0 inf + 103703 446.158 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) 446.158 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 446.159 * * * * [progress]: [ 1437 / 5906 ] simplifiying candidate # 446.160 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 446.160 * * [simplify]: iters left: 6 (43 enodes) 446.178 * * [simplify]: iters left: 5 (199 enodes) 446.226 * * [simplify]: Extracting #0: cost 1 inf + 0 446.226 * * [simplify]: Extracting #1: cost 3 inf + 0 446.226 * * [simplify]: Extracting #2: cost 6 inf + 0 446.226 * * [simplify]: Extracting #3: cost 46 inf + 0 446.226 * * [simplify]: Extracting #4: cost 101 inf + 0 446.227 * * [simplify]: Extracting #5: cost 136 inf + 372 446.228 * * [simplify]: Extracting #6: cost 184 inf + 2163 446.231 * * [simplify]: Extracting #7: cost 174 inf + 4236 446.235 * * [simplify]: Extracting #8: cost 132 inf + 9801 446.239 * * [simplify]: Extracting #9: cost 98 inf + 20872 446.249 * * [simplify]: Extracting #10: cost 40 inf + 45979 446.263 * * [simplify]: Extracting #11: cost 9 inf + 70737 446.279 * * [simplify]: Extracting #12: cost 0 inf + 80802 446.309 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (+ phi1 phi2)))))) 446.309 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 446.310 * * * * [progress]: [ 1438 / 5906 ] simplifiying candidate # 446.311 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 446.311 * * [simplify]: iters left: 6 (48 enodes) 446.335 * * [simplify]: iters left: 5 (227 enodes) 446.401 * * [simplify]: Extracting #0: cost 1 inf + 0 446.401 * * [simplify]: Extracting #1: cost 3 inf + 0 446.401 * * [simplify]: Extracting #2: cost 10 inf + 0 446.402 * * [simplify]: Extracting #3: cost 62 inf + 0 446.402 * * [simplify]: Extracting #4: cost 115 inf + 42 446.403 * * [simplify]: Extracting #5: cost 161 inf + 207 446.405 * * [simplify]: Extracting #6: cost 205 inf + 2730 446.408 * * [simplify]: Extracting #7: cost 191 inf + 5818 446.413 * * [simplify]: Extracting #8: cost 122 inf + 22057 446.419 * * [simplify]: Extracting #9: cost 67 inf + 39023 446.433 * * [simplify]: Extracting #10: cost 17 inf + 78504 446.459 * * [simplify]: Extracting #11: cost 1 inf + 93913 446.493 * * [simplify]: Extracting #12: cost 0 inf + 95698 446.518 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 446.519 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 446.520 * * * * [progress]: [ 1439 / 5906 ] simplifiying candidate # 446.520 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 446.521 * * [simplify]: iters left: 6 (43 enodes) 446.538 * * [simplify]: iters left: 5 (199 enodes) 446.581 * * [simplify]: Extracting #0: cost 1 inf + 0 446.581 * * [simplify]: Extracting #1: cost 3 inf + 0 446.581 * * [simplify]: Extracting #2: cost 10 inf + 0 446.581 * * [simplify]: Extracting #3: cost 54 inf + 0 446.582 * * [simplify]: Extracting #4: cost 95 inf + 86 446.582 * * [simplify]: Extracting #5: cost 122 inf + 1471 446.585 * * [simplify]: Extracting #6: cost 175 inf + 2851 446.586 * * [simplify]: Extracting #7: cost 172 inf + 3789 446.589 * * [simplify]: Extracting #8: cost 103 inf + 20089 446.599 * * [simplify]: Extracting #9: cost 38 inf + 51514 446.622 * * [simplify]: Extracting #10: cost 5 inf + 73118 446.638 * * [simplify]: Extracting #11: cost 0 inf + 76937 446.664 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) 446.664 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 446.665 * * * * [progress]: [ 1440 / 5906 ] simplifiying candidate # 446.666 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 446.666 * * [simplify]: iters left: 6 (48 enodes) 446.682 * * [simplify]: iters left: 5 (227 enodes) 446.738 * * [simplify]: Extracting #0: cost 1 inf + 0 446.738 * * [simplify]: Extracting #1: cost 3 inf + 0 446.738 * * [simplify]: Extracting #2: cost 10 inf + 0 446.738 * * [simplify]: Extracting #3: cost 62 inf + 0 446.739 * * [simplify]: Extracting #4: cost 115 inf + 42 446.739 * * [simplify]: Extracting #5: cost 159 inf + 290 446.740 * * [simplify]: Extracting #6: cost 204 inf + 2971 446.741 * * [simplify]: Extracting #7: cost 191 inf + 5778 446.745 * * [simplify]: Extracting #8: cost 121 inf + 22492 446.754 * * [simplify]: Extracting #9: cost 66 inf + 39608 446.780 * * [simplify]: Extracting #10: cost 17 inf + 78424 446.816 * * [simplify]: Extracting #11: cost 1 inf + 94633 446.859 * * [simplify]: Extracting #12: cost 0 inf + 96418 446.883 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 446.883 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 446.884 * * * * [progress]: [ 1441 / 5906 ] simplifiying candidate # 446.884 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 446.884 * * [simplify]: iters left: 6 (43 enodes) 446.895 * * [simplify]: iters left: 5 (199 enodes) 446.949 * * [simplify]: Extracting #0: cost 1 inf + 0 446.949 * * [simplify]: Extracting #1: cost 3 inf + 0 446.949 * * [simplify]: Extracting #2: cost 10 inf + 0 446.949 * * [simplify]: Extracting #3: cost 53 inf + 0 446.950 * * [simplify]: Extracting #4: cost 96 inf + 44 446.951 * * [simplify]: Extracting #5: cost 126 inf + 1023 446.953 * * [simplify]: Extracting #6: cost 174 inf + 2932 446.955 * * [simplify]: Extracting #7: cost 169 inf + 4154 446.962 * * [simplify]: Extracting #8: cost 101 inf + 21591 446.976 * * [simplify]: Extracting #9: cost 39 inf + 51468 446.991 * * [simplify]: Extracting #10: cost 4 inf + 74930 447.017 * * [simplify]: Extracting #11: cost 0 inf + 77257 447.035 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) 447.035 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 447.035 * * * * [progress]: [ 1442 / 5906 ] simplifiying candidate # 447.036 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 447.036 * * [simplify]: iters left: 6 (52 enodes) 447.050 * * [simplify]: iters left: 5 (255 enodes) 447.133 * * [simplify]: Extracting #0: cost 1 inf + 0 447.133 * * [simplify]: Extracting #1: cost 3 inf + 0 447.133 * * [simplify]: Extracting #2: cost 6 inf + 0 447.134 * * [simplify]: Extracting #3: cost 56 inf + 0 447.134 * * [simplify]: Extracting #4: cost 130 inf + 0 447.135 * * [simplify]: Extracting #5: cost 209 inf + 0 447.136 * * [simplify]: Extracting #6: cost 288 inf + 298 447.139 * * [simplify]: Extracting #7: cost 250 inf + 7447 447.146 * * [simplify]: Extracting #8: cost 148 inf + 28447 447.155 * * [simplify]: Extracting #9: cost 72 inf + 55992 447.177 * * [simplify]: Extracting #10: cost 16 inf + 104339 447.222 * * [simplify]: Extracting #11: cost 1 inf + 121554 447.271 * * [simplify]: Extracting #12: cost 0 inf + 123619 447.320 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 447.320 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 447.321 * * * * [progress]: [ 1443 / 5906 ] simplifiying candidate # 447.321 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 447.322 * * [simplify]: iters left: 6 (53 enodes) 447.352 * * [simplify]: iters left: 5 (264 enodes) 447.443 * * [simplify]: Extracting #0: cost 1 inf + 0 447.443 * * [simplify]: Extracting #1: cost 3 inf + 0 447.443 * * [simplify]: Extracting #2: cost 6 inf + 0 447.443 * * [simplify]: Extracting #3: cost 60 inf + 0 447.443 * * [simplify]: Extracting #4: cost 153 inf + 0 447.444 * * [simplify]: Extracting #5: cost 223 inf + 44 447.445 * * [simplify]: Extracting #6: cost 265 inf + 4355 447.448 * * [simplify]: Extracting #7: cost 233 inf + 10309 447.452 * * [simplify]: Extracting #8: cost 178 inf + 19822 447.462 * * [simplify]: Extracting #9: cost 106 inf + 48081 447.488 * * [simplify]: Extracting #10: cost 10 inf + 117270 447.537 * * [simplify]: Extracting #11: cost 0 inf + 126436 447.578 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 447.578 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 447.578 * * * * [progress]: [ 1444 / 5906 ] simplifiying candidate # 447.579 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 447.579 * * [simplify]: iters left: 6 (53 enodes) 447.593 * * [simplify]: iters left: 5 (264 enodes) 447.666 * * [simplify]: Extracting #0: cost 1 inf + 0 447.666 * * [simplify]: Extracting #1: cost 3 inf + 0 447.666 * * [simplify]: Extracting #2: cost 6 inf + 0 447.666 * * [simplify]: Extracting #3: cost 62 inf + 0 447.667 * * [simplify]: Extracting #4: cost 151 inf + 0 447.667 * * [simplify]: Extracting #5: cost 219 inf + 44 447.669 * * [simplify]: Extracting #6: cost 256 inf + 5766 447.671 * * [simplify]: Extracting #7: cost 228 inf + 11110 447.675 * * [simplify]: Extracting #8: cost 171 inf + 21412 447.685 * * [simplify]: Extracting #9: cost 107 inf + 45484 447.702 * * [simplify]: Extracting #10: cost 54 inf + 70101 447.745 * * [simplify]: Extracting #11: cost 5 inf + 121583 447.794 * * [simplify]: Extracting #12: cost 0 inf + 128148 447.832 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 447.832 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 447.833 * * * * [progress]: [ 1445 / 5906 ] simplifiying candidate # 447.833 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 447.833 * * [simplify]: iters left: 6 (47 enodes) 447.847 * * [simplify]: iters left: 5 (228 enodes) 447.909 * * [simplify]: Extracting #0: cost 1 inf + 0 447.909 * * [simplify]: Extracting #1: cost 3 inf + 0 447.909 * * [simplify]: Extracting #2: cost 6 inf + 0 447.910 * * [simplify]: Extracting #3: cost 54 inf + 0 447.910 * * [simplify]: Extracting #4: cost 119 inf + 0 447.911 * * [simplify]: Extracting #5: cost 167 inf + 44 447.912 * * [simplify]: Extracting #6: cost 226 inf + 1638 447.915 * * [simplify]: Extracting #7: cost 208 inf + 4927 447.920 * * [simplify]: Extracting #8: cost 166 inf + 10811 447.929 * * [simplify]: Extracting #9: cost 116 inf + 26061 447.948 * * [simplify]: Extracting #10: cost 50 inf + 55633 447.967 * * [simplify]: Extracting #11: cost 7 inf + 90832 448.005 * * [simplify]: Extracting #12: cost 1 inf + 99022 448.029 * * [simplify]: Extracting #13: cost 0 inf + 100927 448.059 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))))) 448.059 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 448.060 * * * * [progress]: [ 1446 / 5906 ] simplifiying candidate # 448.061 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 448.061 * * [simplify]: iters left: 6 (52 enodes) 448.075 * * [simplify]: iters left: 5 (256 enodes) 448.167 * * [simplify]: Extracting #0: cost 1 inf + 0 448.167 * * [simplify]: Extracting #1: cost 3 inf + 0 448.167 * * [simplify]: Extracting #2: cost 10 inf + 0 448.168 * * [simplify]: Extracting #3: cost 74 inf + 0 448.168 * * [simplify]: Extracting #4: cost 137 inf + 1 448.169 * * [simplify]: Extracting #5: cost 188 inf + 248 448.171 * * [simplify]: Extracting #6: cost 247 inf + 2768 448.175 * * [simplify]: Extracting #7: cost 220 inf + 7193 448.181 * * [simplify]: Extracting #8: cost 170 inf + 17111 448.192 * * [simplify]: Extracting #9: cost 117 inf + 33800 448.217 * * [simplify]: Extracting #10: cost 57 inf + 63441 448.256 * * [simplify]: Extracting #11: cost 9 inf + 107953 448.302 * * [simplify]: Extracting #12: cost 1 inf + 117033 448.350 * * [simplify]: Extracting #13: cost 0 inf + 119138 448.398 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 448.398 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 448.399 * * * * [progress]: [ 1447 / 5906 ] simplifiying candidate # 448.399 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 448.400 * * [simplify]: iters left: 6 (47 enodes) 448.425 * * [simplify]: iters left: 5 (228 enodes) 448.513 * * [simplify]: Extracting #0: cost 1 inf + 0 448.514 * * [simplify]: Extracting #1: cost 3 inf + 0 448.514 * * [simplify]: Extracting #2: cost 10 inf + 0 448.514 * * [simplify]: Extracting #3: cost 66 inf + 0 448.515 * * [simplify]: Extracting #4: cost 117 inf + 44 448.516 * * [simplify]: Extracting #5: cost 152 inf + 1186 448.518 * * [simplify]: Extracting #6: cost 216 inf + 2972 448.520 * * [simplify]: Extracting #7: cost 208 inf + 4600 448.526 * * [simplify]: Extracting #8: cost 150 inf + 15729 448.540 * * [simplify]: Extracting #9: cost 71 inf + 44081 448.570 * * [simplify]: Extracting #10: cost 25 inf + 74851 448.590 * * [simplify]: Extracting #11: cost 1 inf + 95712 448.611 * * [simplify]: Extracting #12: cost 0 inf + 97457 448.650 * * [simplify]: Extracting #13: cost 0 inf + 97377 448.690 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) 448.690 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 448.691 * * * * [progress]: [ 1448 / 5906 ] simplifiying candidate # 448.692 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 448.692 * * [simplify]: iters left: 6 (52 enodes) 448.721 * * [simplify]: iters left: 5 (256 enodes) 448.778 * * [simplify]: Extracting #0: cost 1 inf + 0 448.778 * * [simplify]: Extracting #1: cost 3 inf + 0 448.778 * * [simplify]: Extracting #2: cost 10 inf + 0 448.778 * * [simplify]: Extracting #3: cost 74 inf + 0 448.779 * * [simplify]: Extracting #4: cost 137 inf + 1 448.780 * * [simplify]: Extracting #5: cost 188 inf + 248 448.781 * * [simplify]: Extracting #6: cost 255 inf + 1355 448.785 * * [simplify]: Extracting #7: cost 226 inf + 5781 448.791 * * [simplify]: Extracting #8: cost 168 inf + 17575 448.806 * * [simplify]: Extracting #9: cost 117 inf + 33800 448.825 * * [simplify]: Extracting #10: cost 57 inf + 64641 448.845 * * [simplify]: Extracting #11: cost 9 inf + 108913 448.882 * * [simplify]: Extracting #12: cost 1 inf + 117993 448.930 * * [simplify]: Extracting #13: cost 0 inf + 120098 448.957 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 448.957 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 448.958 * * * * [progress]: [ 1449 / 5906 ] simplifiying candidate # 448.958 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 448.958 * * [simplify]: iters left: 6 (47 enodes) 448.971 * * [simplify]: iters left: 5 (228 enodes) 449.017 * * [simplify]: Extracting #0: cost 1 inf + 0 449.017 * * [simplify]: Extracting #1: cost 3 inf + 0 449.017 * * [simplify]: Extracting #2: cost 10 inf + 0 449.017 * * [simplify]: Extracting #3: cost 65 inf + 0 449.017 * * [simplify]: Extracting #4: cost 116 inf + 86 449.018 * * [simplify]: Extracting #5: cost 149 inf + 1552 449.019 * * [simplify]: Extracting #6: cost 216 inf + 2932 449.020 * * [simplify]: Extracting #7: cost 206 inf + 4724 449.024 * * [simplify]: Extracting #8: cost 169 inf + 9923 449.036 * * [simplify]: Extracting #9: cost 115 inf + 26004 449.049 * * [simplify]: Extracting #10: cost 43 inf + 56490 449.064 * * [simplify]: Extracting #11: cost 12 inf + 84077 449.091 * * [simplify]: Extracting #12: cost 1 inf + 96352 449.130 * * [simplify]: Extracting #13: cost 0 inf + 98097 449.168 * * [simplify]: Extracting #14: cost 0 inf + 98017 449.201 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) 449.201 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 449.201 * * * * [progress]: [ 1450 / 5906 ] simplifiying candidate # 449.202 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 449.202 * * [simplify]: iters left: 6 (50 enodes) 449.215 * * [simplify]: iters left: 5 (238 enodes) 449.298 * * [simplify]: Extracting #0: cost 1 inf + 0 449.298 * * [simplify]: Extracting #1: cost 3 inf + 0 449.298 * * [simplify]: Extracting #2: cost 6 inf + 0 449.298 * * [simplify]: Extracting #3: cost 57 inf + 0 449.298 * * [simplify]: Extracting #4: cost 128 inf + 0 449.299 * * [simplify]: Extracting #5: cost 199 inf + 0 449.301 * * [simplify]: Extracting #6: cost 265 inf + 1728 449.303 * * [simplify]: Extracting #7: cost 228 inf + 7847 449.314 * * [simplify]: Extracting #8: cost 159 inf + 20029 449.325 * * [simplify]: Extracting #9: cost 112 inf + 34848 449.344 * * [simplify]: Extracting #10: cost 57 inf + 59420 449.379 * * [simplify]: Extracting #11: cost 7 inf + 106030 449.412 * * [simplify]: Extracting #12: cost 1 inf + 113660 449.438 * * [simplify]: Extracting #13: cost 0 inf + 115485 449.463 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 449.464 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 449.464 * * * * [progress]: [ 1451 / 5906 ] simplifiying candidate # 449.464 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 449.465 * * [simplify]: iters left: 6 (51 enodes) 449.479 * * [simplify]: iters left: 5 (247 enodes) 449.548 * * [simplify]: Extracting #0: cost 1 inf + 0 449.548 * * [simplify]: Extracting #1: cost 3 inf + 0 449.548 * * [simplify]: Extracting #2: cost 6 inf + 0 449.548 * * [simplify]: Extracting #3: cost 61 inf + 0 449.549 * * [simplify]: Extracting #4: cost 151 inf + 0 449.549 * * [simplify]: Extracting #5: cost 213 inf + 44 449.550 * * [simplify]: Extracting #6: cost 251 inf + 3469 449.553 * * [simplify]: Extracting #7: cost 214 inf + 9629 449.557 * * [simplify]: Extracting #8: cost 126 inf + 30040 449.578 * * [simplify]: Extracting #9: cost 46 inf + 74864 449.618 * * [simplify]: Extracting #10: cost 7 inf + 109127 449.662 * * [simplify]: Extracting #11: cost 1 inf + 116517 449.687 * * [simplify]: Extracting #12: cost 0 inf + 118422 449.719 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 449.719 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 449.720 * * * * [progress]: [ 1452 / 5906 ] simplifiying candidate # 449.721 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 449.721 * * [simplify]: iters left: 6 (51 enodes) 449.748 * * [simplify]: iters left: 5 (247 enodes) 449.822 * * [simplify]: Extracting #0: cost 1 inf + 0 449.822 * * [simplify]: Extracting #1: cost 3 inf + 0 449.822 * * [simplify]: Extracting #2: cost 6 inf + 0 449.822 * * [simplify]: Extracting #3: cost 63 inf + 0 449.823 * * [simplify]: Extracting #4: cost 149 inf + 0 449.824 * * [simplify]: Extracting #5: cost 209 inf + 44 449.826 * * [simplify]: Extracting #6: cost 247 inf + 3629 449.831 * * [simplify]: Extracting #7: cost 207 inf + 10836 449.839 * * [simplify]: Extracting #8: cost 153 inf + 22824 449.854 * * [simplify]: Extracting #9: cost 91 inf + 49153 449.875 * * [simplify]: Extracting #10: cost 58 inf + 61524 449.901 * * [simplify]: Extracting #11: cost 32 inf + 80614 449.940 * * [simplify]: Extracting #12: cost 6 inf + 105984 449.987 * * [simplify]: Extracting #13: cost 1 inf + 112629 450.011 * * [simplify]: Extracting #14: cost 0 inf + 114494 450.044 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 450.044 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 450.045 * * * * [progress]: [ 1453 / 5906 ] simplifiying candidate # 450.045 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 450.045 * * [simplify]: iters left: 6 (45 enodes) 450.056 * * [simplify]: iters left: 5 (211 enodes) 450.114 * * [simplify]: Extracting #0: cost 1 inf + 0 450.115 * * [simplify]: Extracting #1: cost 3 inf + 0 450.115 * * [simplify]: Extracting #2: cost 6 inf + 0 450.115 * * [simplify]: Extracting #3: cost 55 inf + 0 450.115 * * [simplify]: Extracting #4: cost 117 inf + 0 450.115 * * [simplify]: Extracting #5: cost 157 inf + 44 450.116 * * [simplify]: Extracting #6: cost 214 inf + 786 450.118 * * [simplify]: Extracting #7: cost 197 inf + 3309 450.120 * * [simplify]: Extracting #8: cost 155 inf + 9395 450.126 * * [simplify]: Extracting #9: cost 99 inf + 32135 450.150 * * [simplify]: Extracting #10: cost 10 inf + 83425 450.187 * * [simplify]: Extracting #11: cost 0 inf + 93393 450.207 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))))) 450.207 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 450.208 * * * * [progress]: [ 1454 / 5906 ] simplifiying candidate # 450.208 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 450.208 * * [simplify]: iters left: 6 (50 enodes) 450.224 * * [simplify]: iters left: 5 (239 enodes) 450.272 * * [simplify]: Extracting #0: cost 1 inf + 0 450.272 * * [simplify]: Extracting #1: cost 3 inf + 0 450.272 * * [simplify]: Extracting #2: cost 10 inf + 0 450.272 * * [simplify]: Extracting #3: cost 75 inf + 0 450.272 * * [simplify]: Extracting #4: cost 142 inf + 1 450.273 * * [simplify]: Extracting #5: cost 185 inf + 249 450.274 * * [simplify]: Extracting #6: cost 236 inf + 2929 450.275 * * [simplify]: Extracting #7: cost 208 inf + 7433 450.278 * * [simplify]: Extracting #8: cost 166 inf + 15603 450.283 * * [simplify]: Extracting #9: cost 113 inf + 33691 450.298 * * [simplify]: Extracting #10: cost 30 inf + 80570 450.317 * * [simplify]: Extracting #11: cost 4 inf + 106479 450.348 * * [simplify]: Extracting #12: cost 1 inf + 110954 450.376 * * [simplify]: Extracting #13: cost 0 inf + 112739 450.408 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))) 450.408 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 450.408 * * * * [progress]: [ 1455 / 5906 ] simplifiying candidate # 450.409 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 450.409 * * [simplify]: iters left: 6 (45 enodes) 450.423 * * [simplify]: iters left: 5 (211 enodes) 450.482 * * [simplify]: Extracting #0: cost 1 inf + 0 450.482 * * [simplify]: Extracting #1: cost 3 inf + 0 450.482 * * [simplify]: Extracting #2: cost 10 inf + 0 450.482 * * [simplify]: Extracting #3: cost 67 inf + 0 450.482 * * [simplify]: Extracting #4: cost 121 inf + 86 450.483 * * [simplify]: Extracting #5: cost 149 inf + 1067 450.484 * * [simplify]: Extracting #6: cost 204 inf + 2932 450.485 * * [simplify]: Extracting #7: cost 199 inf + 4275 450.487 * * [simplify]: Extracting #8: cost 170 inf + 7814 450.491 * * [simplify]: Extracting #9: cost 117 inf + 24809 450.513 * * [simplify]: Extracting #10: cost 20 inf + 77279 450.551 * * [simplify]: Extracting #11: cost 0 inf + 94218 450.571 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)))))) 450.571 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 450.572 * * * * [progress]: [ 1456 / 5906 ] simplifiying candidate # 450.572 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 450.572 * * [simplify]: iters left: 6 (50 enodes) 450.586 * * [simplify]: iters left: 5 (239 enodes) 450.664 * * [simplify]: Extracting #0: cost 1 inf + 0 450.664 * * [simplify]: Extracting #1: cost 3 inf + 0 450.664 * * [simplify]: Extracting #2: cost 10 inf + 0 450.665 * * [simplify]: Extracting #3: cost 75 inf + 0 450.665 * * [simplify]: Extracting #4: cost 142 inf + 1 450.666 * * [simplify]: Extracting #5: cost 186 inf + 207 450.668 * * [simplify]: Extracting #6: cost 238 inf + 2244 450.671 * * [simplify]: Extracting #7: cost 207 inf + 7564 450.676 * * [simplify]: Extracting #8: cost 166 inf + 15763 450.687 * * [simplify]: Extracting #9: cost 112 inf + 33875 450.710 * * [simplify]: Extracting #10: cost 31 inf + 80465 450.747 * * [simplify]: Extracting #11: cost 4 inf + 107439 450.788 * * [simplify]: Extracting #12: cost 1 inf + 111914 450.834 * * [simplify]: Extracting #13: cost 0 inf + 113699 450.856 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))) 450.856 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 450.857 * * * * [progress]: [ 1457 / 5906 ] simplifiying candidate # 450.857 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 450.857 * * [simplify]: iters left: 6 (45 enodes) 450.876 * * [simplify]: iters left: 5 (211 enodes) 450.931 * * [simplify]: Extracting #0: cost 1 inf + 0 450.932 * * [simplify]: Extracting #1: cost 3 inf + 0 450.932 * * [simplify]: Extracting #2: cost 10 inf + 0 450.932 * * [simplify]: Extracting #3: cost 66 inf + 0 450.932 * * [simplify]: Extracting #4: cost 122 inf + 44 450.933 * * [simplify]: Extracting #5: cost 146 inf + 1472 450.935 * * [simplify]: Extracting #6: cost 204 inf + 2932 450.938 * * [simplify]: Extracting #7: cost 198 inf + 4396 450.942 * * [simplify]: Extracting #8: cost 171 inf + 7692 450.950 * * [simplify]: Extracting #9: cost 112 inf + 26735 450.970 * * [simplify]: Extracting #10: cost 33 inf + 65469 451.002 * * [simplify]: Extracting #11: cost 2 inf + 91488 451.021 * * [simplify]: Extracting #12: cost 0 inf + 94618 451.051 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)))))) 451.051 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 451.052 * * * * [progress]: [ 1458 / 5906 ] simplifiying candidate # 451.053 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 451.054 * * [simplify]: iters left: 6 (51 enodes) 451.084 * * [simplify]: iters left: 5 (244 enodes) 451.159 * * [simplify]: Extracting #0: cost 1 inf + 0 451.159 * * [simplify]: Extracting #1: cost 3 inf + 0 451.159 * * [simplify]: Extracting #2: cost 6 inf + 0 451.159 * * [simplify]: Extracting #3: cost 56 inf + 0 451.160 * * [simplify]: Extracting #4: cost 130 inf + 0 451.160 * * [simplify]: Extracting #5: cost 206 inf + 0 451.161 * * [simplify]: Extracting #6: cost 254 inf + 3728 451.164 * * [simplify]: Extracting #7: cost 189 inf + 18664 451.174 * * [simplify]: Extracting #8: cost 127 inf + 44925 451.182 * * [simplify]: Extracting #9: cost 89 inf + 51014 451.202 * * [simplify]: Extracting #10: cost 48 inf + 68688 451.227 * * [simplify]: Extracting #11: cost 4 inf + 114708 451.262 * * [simplify]: Extracting #12: cost 1 inf + 119823 451.301 * * [simplify]: Extracting #13: cost 0 inf + 121888 451.332 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 451.332 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 451.333 * * * * [progress]: [ 1459 / 5906 ] simplifiying candidate # 451.333 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 451.334 * * [simplify]: iters left: 6 (52 enodes) 451.361 * * [simplify]: iters left: 5 (253 enodes) 451.465 * * [simplify]: Extracting #0: cost 1 inf + 0 451.465 * * [simplify]: Extracting #1: cost 3 inf + 0 451.465 * * [simplify]: Extracting #2: cost 6 inf + 0 451.466 * * [simplify]: Extracting #3: cost 60 inf + 0 451.466 * * [simplify]: Extracting #4: cost 153 inf + 0 451.467 * * [simplify]: Extracting #5: cost 220 inf + 44 451.470 * * [simplify]: Extracting #6: cost 248 inf + 4526 451.475 * * [simplify]: Extracting #7: cost 186 inf + 15099 451.488 * * [simplify]: Extracting #8: cost 132 inf + 37842 451.506 * * [simplify]: Extracting #9: cost 90 inf + 55424 451.522 * * [simplify]: Extracting #10: cost 41 inf + 76520 451.543 * * [simplify]: Extracting #11: cost 3 inf + 119590 451.592 * * [simplify]: Extracting #12: cost 1 inf + 123520 451.638 * * [simplify]: Extracting #13: cost 0 inf + 125665 451.662 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2)))))) 451.662 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 451.663 * * * * [progress]: [ 1460 / 5906 ] simplifiying candidate # 451.663 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 451.663 * * [simplify]: iters left: 6 (52 enodes) 451.690 * * [simplify]: iters left: 5 (253 enodes) 451.774 * * [simplify]: Extracting #0: cost 1 inf + 0 451.774 * * [simplify]: Extracting #1: cost 3 inf + 0 451.774 * * [simplify]: Extracting #2: cost 6 inf + 0 451.774 * * [simplify]: Extracting #3: cost 62 inf + 0 451.775 * * [simplify]: Extracting #4: cost 151 inf + 0 451.775 * * [simplify]: Extracting #5: cost 216 inf + 44 451.776 * * [simplify]: Extracting #6: cost 254 inf + 2826 451.779 * * [simplify]: Extracting #7: cost 193 inf + 13520 451.787 * * [simplify]: Extracting #8: cost 148 inf + 25206 451.800 * * [simplify]: Extracting #9: cost 107 inf + 41750 451.815 * * [simplify]: Extracting #10: cost 55 inf + 65322 451.836 * * [simplify]: Extracting #11: cost 9 inf + 108552 451.865 * * [simplify]: Extracting #12: cost 1 inf + 118592 451.908 * * [simplify]: Extracting #13: cost 0 inf + 120697 451.933 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2)))))) 451.933 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 451.934 * * * * [progress]: [ 1461 / 5906 ] simplifiying candidate # 451.934 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 451.934 * * [simplify]: iters left: 6 (46 enodes) 451.946 * * [simplify]: iters left: 5 (217 enodes) 451.991 * * [simplify]: Extracting #0: cost 1 inf + 0 451.992 * * [simplify]: Extracting #1: cost 3 inf + 0 451.992 * * [simplify]: Extracting #2: cost 6 inf + 0 451.992 * * [simplify]: Extracting #3: cost 54 inf + 0 451.992 * * [simplify]: Extracting #4: cost 119 inf + 0 451.992 * * [simplify]: Extracting #5: cost 162 inf + 127 451.993 * * [simplify]: Extracting #6: cost 204 inf + 2453 451.995 * * [simplify]: Extracting #7: cost 165 inf + 8749 452.000 * * [simplify]: Extracting #8: cost 104 inf + 30798 452.015 * * [simplify]: Extracting #9: cost 56 inf + 51062 452.035 * * [simplify]: Extracting #10: cost 27 inf + 67721 452.056 * * [simplify]: Extracting #11: cost 2 inf + 94186 452.080 * * [simplify]: Extracting #12: cost 0 inf + 97756 452.119 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (+ phi1 phi2) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2)))))) 452.119 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (+ phi1 phi2) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 452.120 * * * * [progress]: [ 1462 / 5906 ] simplifiying candidate # 452.121 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 452.122 * * [simplify]: iters left: 6 (51 enodes) 452.148 * * [simplify]: iters left: 5 (245 enodes) 452.218 * * [simplify]: Extracting #0: cost 1 inf + 0 452.218 * * [simplify]: Extracting #1: cost 3 inf + 0 452.218 * * [simplify]: Extracting #2: cost 10 inf + 0 452.219 * * [simplify]: Extracting #3: cost 74 inf + 0 452.219 * * [simplify]: Extracting #4: cost 136 inf + 42 452.219 * * [simplify]: Extracting #5: cost 185 inf + 249 452.220 * * [simplify]: Extracting #6: cost 229 inf + 2661 452.223 * * [simplify]: Extracting #7: cost 184 inf + 10404 452.228 * * [simplify]: Extracting #8: cost 133 inf + 31417 452.235 * * [simplify]: Extracting #9: cost 97 inf + 45117 452.245 * * [simplify]: Extracting #10: cost 52 inf + 61427 452.259 * * [simplify]: Extracting #11: cost 28 inf + 80667 452.302 * * [simplify]: Extracting #12: cost 4 inf + 107027 452.346 * * [simplify]: Extracting #13: cost 1 inf + 111702 452.370 * * [simplify]: Extracting #14: cost 0 inf + 113687 452.413 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) 452.413 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 452.414 * * * * [progress]: [ 1463 / 5906 ] simplifiying candidate # 452.414 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 452.415 * * [simplify]: iters left: 6 (46 enodes) 452.438 * * [simplify]: iters left: 5 (217 enodes) 452.523 * * [simplify]: Extracting #0: cost 1 inf + 0 452.523 * * [simplify]: Extracting #1: cost 3 inf + 0 452.523 * * [simplify]: Extracting #2: cost 10 inf + 0 452.523 * * [simplify]: Extracting #3: cost 66 inf + 0 452.524 * * [simplify]: Extracting #4: cost 117 inf + 44 452.525 * * [simplify]: Extracting #5: cost 149 inf + 1026 452.527 * * [simplify]: Extracting #6: cost 197 inf + 3302 452.530 * * [simplify]: Extracting #7: cost 150 inf + 13057 452.536 * * [simplify]: Extracting #8: cost 87 inf + 40827 452.545 * * [simplify]: Extracting #9: cost 50 inf + 55422 452.558 * * [simplify]: Extracting #10: cost 18 inf + 74729 452.589 * * [simplify]: Extracting #11: cost 3 inf + 89371 452.625 * * [simplify]: Extracting #12: cost 0 inf + 94766 452.656 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))))))) 452.656 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 452.656 * * * * [progress]: [ 1464 / 5906 ] simplifiying candidate # 452.657 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 452.657 * * [simplify]: iters left: 6 (51 enodes) 452.670 * * [simplify]: iters left: 5 (245 enodes) 452.738 * * [simplify]: Extracting #0: cost 1 inf + 0 452.738 * * [simplify]: Extracting #1: cost 3 inf + 0 452.739 * * [simplify]: Extracting #2: cost 10 inf + 0 452.739 * * [simplify]: Extracting #3: cost 74 inf + 0 452.740 * * [simplify]: Extracting #4: cost 136 inf + 42 452.741 * * [simplify]: Extracting #5: cost 186 inf + 207 452.743 * * [simplify]: Extracting #6: cost 229 inf + 2819 452.747 * * [simplify]: Extracting #7: cost 182 inf + 10888 452.757 * * [simplify]: Extracting #8: cost 135 inf + 29849 452.764 * * [simplify]: Extracting #9: cost 97 inf + 45755 452.774 * * [simplify]: Extracting #10: cost 52 inf + 62387 452.789 * * [simplify]: Extracting #11: cost 29 inf + 80682 452.834 * * [simplify]: Extracting #12: cost 4 inf + 107987 452.879 * * [simplify]: Extracting #13: cost 1 inf + 112662 452.918 * * [simplify]: Extracting #14: cost 0 inf + 114647 452.943 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 452.943 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 452.944 * * * * [progress]: [ 1465 / 5906 ] simplifiying candidate # 452.944 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 452.945 * * [simplify]: iters left: 6 (46 enodes) 452.968 * * [simplify]: iters left: 5 (217 enodes) 453.021 * * [simplify]: Extracting #0: cost 1 inf + 0 453.021 * * [simplify]: Extracting #1: cost 3 inf + 0 453.021 * * [simplify]: Extracting #2: cost 10 inf + 0 453.022 * * [simplify]: Extracting #3: cost 65 inf + 0 453.022 * * [simplify]: Extracting #4: cost 117 inf + 44 453.022 * * [simplify]: Extracting #5: cost 144 inf + 1756 453.024 * * [simplify]: Extracting #6: cost 197 inf + 3302 453.026 * * [simplify]: Extracting #7: cost 151 inf + 12893 453.036 * * [simplify]: Extracting #8: cost 84 inf + 42220 453.056 * * [simplify]: Extracting #9: cost 47 inf + 57097 453.081 * * [simplify]: Extracting #10: cost 18 inf + 74169 453.110 * * [simplify]: Extracting #11: cost 3 inf + 89851 453.131 * * [simplify]: Extracting #12: cost 0 inf + 95246 453.168 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))))))) 453.168 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 453.169 * * * * [progress]: [ 1466 / 5906 ] simplifiying candidate # 453.170 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 453.170 * * [simplify]: iters left: 6 (48 enodes) 453.195 * * [simplify]: iters left: 5 (230 enodes) 453.247 * * [simplify]: Extracting #0: cost 1 inf + 0 453.247 * * [simplify]: Extracting #1: cost 3 inf + 0 453.247 * * [simplify]: Extracting #2: cost 6 inf + 0 453.248 * * [simplify]: Extracting #3: cost 54 inf + 0 453.248 * * [simplify]: Extracting #4: cost 120 inf + 0 453.248 * * [simplify]: Extracting #5: cost 192 inf + 0 453.249 * * [simplify]: Extracting #6: cost 258 inf + 86 453.250 * * [simplify]: Extracting #7: cost 216 inf + 5371 453.254 * * [simplify]: Extracting #8: cost 140 inf + 21217 453.261 * * [simplify]: Extracting #9: cost 91 inf + 40959 453.272 * * [simplify]: Extracting #10: cost 41 inf + 64985 453.294 * * [simplify]: Extracting #11: cost 4 inf + 101948 453.322 * * [simplify]: Extracting #12: cost 0 inf + 106568 453.352 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) 453.353 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 453.353 * * * * [progress]: [ 1467 / 5906 ] simplifiying candidate # 453.354 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 453.354 * * [simplify]: iters left: 6 (49 enodes) 453.367 * * [simplify]: iters left: 5 (239 enodes) 453.437 * * [simplify]: Extracting #0: cost 1 inf + 0 453.437 * * [simplify]: Extracting #1: cost 3 inf + 0 453.437 * * [simplify]: Extracting #2: cost 6 inf + 0 453.438 * * [simplify]: Extracting #3: cost 58 inf + 0 453.438 * * [simplify]: Extracting #4: cost 143 inf + 0 453.439 * * [simplify]: Extracting #5: cost 203 inf + 249 453.442 * * [simplify]: Extracting #6: cost 230 inf + 5245 453.447 * * [simplify]: Extracting #7: cost 191 inf + 11971 453.454 * * [simplify]: Extracting #8: cost 140 inf + 24257 453.461 * * [simplify]: Extracting #9: cost 96 inf + 40396 453.471 * * [simplify]: Extracting #10: cost 53 inf + 61420 453.488 * * [simplify]: Extracting #11: cost 32 inf + 74825 453.519 * * [simplify]: Extracting #12: cost 2 inf + 106655 453.545 * * [simplify]: Extracting #13: cost 0 inf + 109585 453.586 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 453.586 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 453.587 * * * * [progress]: [ 1468 / 5906 ] simplifiying candidate # 453.587 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 453.588 * * [simplify]: iters left: 6 (49 enodes) 453.600 * * [simplify]: iters left: 5 (239 enodes) 453.674 * * [simplify]: Extracting #0: cost 1 inf + 0 453.674 * * [simplify]: Extracting #1: cost 3 inf + 0 453.674 * * [simplify]: Extracting #2: cost 6 inf + 0 453.674 * * [simplify]: Extracting #3: cost 60 inf + 0 453.674 * * [simplify]: Extracting #4: cost 141 inf + 0 453.675 * * [simplify]: Extracting #5: cost 199 inf + 208 453.676 * * [simplify]: Extracting #6: cost 223 inf + 6048 453.679 * * [simplify]: Extracting #7: cost 189 inf + 12198 453.683 * * [simplify]: Extracting #8: cost 140 inf + 24270 453.689 * * [simplify]: Extracting #9: cost 95 inf + 41235 453.706 * * [simplify]: Extracting #10: cost 50 inf + 62727 453.730 * * [simplify]: Extracting #11: cost 32 inf + 73617 453.751 * * [simplify]: Extracting #12: cost 2 inf + 105527 453.784 * * [simplify]: Extracting #13: cost 0 inf + 108537 453.806 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 453.806 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 453.807 * * * * [progress]: [ 1469 / 5906 ] simplifiying candidate # 453.807 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 453.807 * * [simplify]: iters left: 6 (43 enodes) 453.824 * * [simplify]: iters left: 5 (203 enodes) 453.903 * * [simplify]: Extracting #0: cost 1 inf + 0 453.903 * * [simplify]: Extracting #1: cost 3 inf + 0 453.903 * * [simplify]: Extracting #2: cost 6 inf + 0 453.904 * * [simplify]: Extracting #3: cost 52 inf + 0 453.904 * * [simplify]: Extracting #4: cost 109 inf + 0 453.908 * * [simplify]: Extracting #5: cost 146 inf + 250 453.909 * * [simplify]: Extracting #6: cost 194 inf + 1800 453.910 * * [simplify]: Extracting #7: cost 183 inf + 3994 453.913 * * [simplify]: Extracting #8: cost 108 inf + 21753 453.922 * * [simplify]: Extracting #9: cost 46 inf + 50059 453.938 * * [simplify]: Extracting #10: cost 5 inf + 80425 453.966 * * [simplify]: Extracting #11: cost 0 inf + 86076 453.988 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (+ phi1 phi2))))))) 453.988 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 453.989 * * * * [progress]: [ 1470 / 5906 ] simplifiying candidate # 453.989 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 453.990 * * [simplify]: iters left: 6 (48 enodes) 454.002 * * [simplify]: iters left: 5 (231 enodes) 454.050 * * [simplify]: Extracting #0: cost 1 inf + 0 454.050 * * [simplify]: Extracting #1: cost 3 inf + 0 454.050 * * [simplify]: Extracting #2: cost 10 inf + 0 454.050 * * [simplify]: Extracting #3: cost 72 inf + 0 454.051 * * [simplify]: Extracting #4: cost 127 inf + 1 454.051 * * [simplify]: Extracting #5: cost 174 inf + 85 454.052 * * [simplify]: Extracting #6: cost 221 inf + 1880 454.053 * * [simplify]: Extracting #7: cost 199 inf + 6063 454.058 * * [simplify]: Extracting #8: cost 130 inf + 23982 454.075 * * [simplify]: Extracting #9: cost 51 inf + 57808 454.098 * * [simplify]: Extracting #10: cost 4 inf + 98189 454.121 * * [simplify]: Extracting #11: cost 0 inf + 102207 454.142 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 454.142 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 454.142 * * * * [progress]: [ 1471 / 5906 ] simplifiying candidate # 454.143 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 454.143 * * [simplify]: iters left: 6 (43 enodes) 454.163 * * [simplify]: iters left: 5 (203 enodes) 454.239 * * [simplify]: Extracting #0: cost 1 inf + 0 454.239 * * [simplify]: Extracting #1: cost 3 inf + 0 454.239 * * [simplify]: Extracting #2: cost 10 inf + 0 454.240 * * [simplify]: Extracting #3: cost 64 inf + 0 454.240 * * [simplify]: Extracting #4: cost 106 inf + 86 454.240 * * [simplify]: Extracting #5: cost 135 inf + 1107 454.241 * * [simplify]: Extracting #6: cost 185 inf + 2932 454.242 * * [simplify]: Extracting #7: cost 183 inf + 4031 454.246 * * [simplify]: Extracting #8: cost 109 inf + 23059 454.259 * * [simplify]: Extracting #9: cost 21 inf + 69709 454.277 * * [simplify]: Extracting #10: cost 1 inf + 82914 454.294 * * [simplify]: Extracting #11: cost 0 inf + 82886 454.312 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) 454.312 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 454.313 * * * * [progress]: [ 1472 / 5906 ] simplifiying candidate # 454.313 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 454.313 * * [simplify]: iters left: 6 (48 enodes) 454.326 * * [simplify]: iters left: 5 (231 enodes) 454.413 * * [simplify]: Extracting #0: cost 1 inf + 0 454.413 * * [simplify]: Extracting #1: cost 3 inf + 0 454.413 * * [simplify]: Extracting #2: cost 10 inf + 0 454.413 * * [simplify]: Extracting #3: cost 72 inf + 0 454.413 * * [simplify]: Extracting #4: cost 127 inf + 1 454.414 * * [simplify]: Extracting #5: cost 172 inf + 168 454.415 * * [simplify]: Extracting #6: cost 219 inf + 2203 454.416 * * [simplify]: Extracting #7: cost 199 inf + 6063 454.420 * * [simplify]: Extracting #8: cost 129 inf + 24181 454.429 * * [simplify]: Extracting #9: cost 51 inf + 57888 454.458 * * [simplify]: Extracting #10: cost 4 inf + 98869 454.486 * * [simplify]: Extracting #11: cost 0 inf + 103087 454.508 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 454.509 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 454.509 * * * * [progress]: [ 1473 / 5906 ] simplifiying candidate # 454.509 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 454.510 * * [simplify]: iters left: 6 (43 enodes) 454.524 * * [simplify]: iters left: 5 (203 enodes) 454.579 * * [simplify]: Extracting #0: cost 1 inf + 0 454.579 * * [simplify]: Extracting #1: cost 3 inf + 0 454.579 * * [simplify]: Extracting #2: cost 10 inf + 0 454.579 * * [simplify]: Extracting #3: cost 63 inf + 0 454.580 * * [simplify]: Extracting #4: cost 107 inf + 44 454.581 * * [simplify]: Extracting #5: cost 136 inf + 1145 454.582 * * [simplify]: Extracting #6: cost 186 inf + 2770 454.585 * * [simplify]: Extracting #7: cost 184 inf + 3668 454.592 * * [simplify]: Extracting #8: cost 126 inf + 18633 454.606 * * [simplify]: Extracting #9: cost 49 inf + 52740 454.620 * * [simplify]: Extracting #10: cost 12 inf + 70745 454.644 * * [simplify]: Extracting #11: cost 3 inf + 78491 454.678 * * [simplify]: Extracting #12: cost 0 inf + 83206 454.704 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) 454.704 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 454.705 * * * * [progress]: [ 1474 / 5906 ] simplifiying candidate # 454.705 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 454.705 * * [simplify]: iters left: 6 (51 enodes) 454.721 * * [simplify]: iters left: 5 (243 enodes) 454.792 * * [simplify]: Extracting #0: cost 1 inf + 0 454.792 * * [simplify]: Extracting #1: cost 3 inf + 0 454.792 * * [simplify]: Extracting #2: cost 6 inf + 0 454.792 * * [simplify]: Extracting #3: cost 56 inf + 0 454.792 * * [simplify]: Extracting #4: cost 130 inf + 0 454.793 * * [simplify]: Extracting #5: cost 208 inf + 0 454.794 * * [simplify]: Extracting #6: cost 259 inf + 2478 454.797 * * [simplify]: Extracting #7: cost 185 inf + 21358 454.806 * * [simplify]: Extracting #8: cost 127 inf + 42190 454.817 * * [simplify]: Extracting #9: cost 89 inf + 50014 454.838 * * [simplify]: Extracting #10: cost 53 inf + 63563 454.865 * * [simplify]: Extracting #11: cost 31 inf + 82953 454.909 * * [simplify]: Extracting #12: cost 2 inf + 118758 454.956 * * [simplify]: Extracting #13: cost 0 inf + 122128 455.005 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 455.005 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 455.006 * * * * [progress]: [ 1475 / 5906 ] simplifiying candidate # 455.007 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 455.008 * * [simplify]: iters left: 6 (52 enodes) 455.035 * * [simplify]: iters left: 5 (252 enodes) 455.137 * * [simplify]: Extracting #0: cost 1 inf + 0 455.137 * * [simplify]: Extracting #1: cost 3 inf + 0 455.137 * * [simplify]: Extracting #2: cost 6 inf + 0 455.137 * * [simplify]: Extracting #3: cost 60 inf + 0 455.138 * * [simplify]: Extracting #4: cost 153 inf + 0 455.139 * * [simplify]: Extracting #5: cost 222 inf + 44 455.141 * * [simplify]: Extracting #6: cost 245 inf + 4929 455.145 * * [simplify]: Extracting #7: cost 193 inf + 14887 455.150 * * [simplify]: Extracting #8: cost 154 inf + 23665 455.157 * * [simplify]: Extracting #9: cost 104 inf + 42728 455.177 * * [simplify]: Extracting #10: cost 50 inf + 69775 455.210 * * [simplify]: Extracting #11: cost 7 inf + 116690 455.246 * * [simplify]: Extracting #12: cost 1 inf + 123760 455.274 * * [simplify]: Extracting #13: cost 0 inf + 125985 455.302 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* phi1 phi1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi2 phi2)))) (cbrt (+ lambda1 lambda2))))))) 455.302 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* phi1 phi1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi2 phi2)))) (cbrt (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 455.302 * * * * [progress]: [ 1476 / 5906 ] simplifiying candidate # 455.303 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 455.303 * * [simplify]: iters left: 6 (52 enodes) 455.316 * * [simplify]: iters left: 5 (252 enodes) 455.398 * * [simplify]: Extracting #0: cost 1 inf + 0 455.398 * * [simplify]: Extracting #1: cost 3 inf + 0 455.398 * * [simplify]: Extracting #2: cost 6 inf + 0 455.398 * * [simplify]: Extracting #3: cost 62 inf + 0 455.398 * * [simplify]: Extracting #4: cost 151 inf + 0 455.399 * * [simplify]: Extracting #5: cost 218 inf + 44 455.400 * * [simplify]: Extracting #6: cost 255 inf + 2862 455.402 * * [simplify]: Extracting #7: cost 197 inf + 12069 455.407 * * [simplify]: Extracting #8: cost 132 inf + 29673 455.420 * * [simplify]: Extracting #9: cost 63 inf + 58652 455.433 * * [simplify]: Extracting #10: cost 37 inf + 77252 455.460 * * [simplify]: Extracting #11: cost 4 inf + 114757 455.492 * * [simplify]: Extracting #12: cost 1 inf + 120032 455.534 * * [simplify]: Extracting #13: cost 0 inf + 122177 455.576 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2)))))) 455.576 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 455.577 * * * * [progress]: [ 1477 / 5906 ] simplifiying candidate # 455.578 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 455.578 * * [simplify]: iters left: 6 (46 enodes) 455.599 * * [simplify]: iters left: 5 (216 enodes) 455.666 * * [simplify]: Extracting #0: cost 1 inf + 0 455.666 * * [simplify]: Extracting #1: cost 3 inf + 0 455.666 * * [simplify]: Extracting #2: cost 6 inf + 0 455.666 * * [simplify]: Extracting #3: cost 54 inf + 0 455.666 * * [simplify]: Extracting #4: cost 119 inf + 0 455.667 * * [simplify]: Extracting #5: cost 165 inf + 85 455.668 * * [simplify]: Extracting #6: cost 205 inf + 2292 455.670 * * [simplify]: Extracting #7: cost 166 inf + 8826 455.676 * * [simplify]: Extracting #8: cost 128 inf + 22851 455.689 * * [simplify]: Extracting #9: cost 90 inf + 39686 455.709 * * [simplify]: Extracting #10: cost 44 inf + 55909 455.731 * * [simplify]: Extracting #11: cost 10 inf + 86546 455.759 * * [simplify]: Extracting #12: cost 1 inf + 97291 455.799 * * [simplify]: Extracting #13: cost 0 inf + 99196 455.834 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) 455.834 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 455.834 * * * * [progress]: [ 1478 / 5906 ] simplifiying candidate # 455.835 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 455.835 * * [simplify]: iters left: 6 (51 enodes) 455.847 * * [simplify]: iters left: 5 (244 enodes) 455.911 * * [simplify]: Extracting #0: cost 1 inf + 0 455.911 * * [simplify]: Extracting #1: cost 3 inf + 0 455.911 * * [simplify]: Extracting #2: cost 10 inf + 0 455.911 * * [simplify]: Extracting #3: cost 74 inf + 0 455.911 * * [simplify]: Extracting #4: cost 137 inf + 1 455.912 * * [simplify]: Extracting #5: cost 187 inf + 249 455.913 * * [simplify]: Extracting #6: cost 229 inf + 2660 455.915 * * [simplify]: Extracting #7: cost 176 inf + 12371 455.920 * * [simplify]: Extracting #8: cost 138 inf + 26621 455.927 * * [simplify]: Extracting #9: cost 95 inf + 42937 455.936 * * [simplify]: Extracting #10: cost 56 inf + 59247 455.961 * * [simplify]: Extracting #11: cost 28 inf + 80787 455.984 * * [simplify]: Extracting #12: cost 3 inf + 109332 456.026 * * [simplify]: Extracting #13: cost 1 inf + 112982 456.055 * * [simplify]: Extracting #14: cost 0 inf + 115047 456.091 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ lambda1 lambda2)))))) 456.092 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 456.092 * * * * [progress]: [ 1479 / 5906 ] simplifiying candidate # 456.093 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 456.093 * * [simplify]: iters left: 6 (46 enodes) 456.116 * * [simplify]: iters left: 5 (216 enodes) 456.204 * * [simplify]: Extracting #0: cost 1 inf + 0 456.204 * * [simplify]: Extracting #1: cost 3 inf + 0 456.204 * * [simplify]: Extracting #2: cost 10 inf + 0 456.205 * * [simplify]: Extracting #3: cost 66 inf + 0 456.205 * * [simplify]: Extracting #4: cost 117 inf + 44 456.206 * * [simplify]: Extracting #5: cost 154 inf + 740 456.208 * * [simplify]: Extracting #6: cost 201 inf + 2654 456.212 * * [simplify]: Extracting #7: cost 170 inf + 7698 456.221 * * [simplify]: Extracting #8: cost 104 inf + 30330 456.238 * * [simplify]: Extracting #9: cost 43 inf + 57917 456.254 * * [simplify]: Extracting #10: cost 5 inf + 89427 456.288 * * [simplify]: Extracting #11: cost 0 inf + 95206 456.326 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))))))) 456.326 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 456.327 * * * * [progress]: [ 1480 / 5906 ] simplifiying candidate # 456.327 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 456.328 * * [simplify]: iters left: 6 (51 enodes) 456.353 * * [simplify]: iters left: 5 (244 enodes) 456.422 * * [simplify]: Extracting #0: cost 1 inf + 0 456.422 * * [simplify]: Extracting #1: cost 3 inf + 0 456.422 * * [simplify]: Extracting #2: cost 10 inf + 0 456.422 * * [simplify]: Extracting #3: cost 74 inf + 0 456.423 * * [simplify]: Extracting #4: cost 137 inf + 1 456.423 * * [simplify]: Extracting #5: cost 188 inf + 207 456.424 * * [simplify]: Extracting #6: cost 225 inf + 3550 456.427 * * [simplify]: Extracting #7: cost 170 inf + 14749 456.432 * * [simplify]: Extracting #8: cost 137 inf + 27425 456.438 * * [simplify]: Extracting #9: cost 95 inf + 43817 456.455 * * [simplify]: Extracting #10: cost 56 inf + 60207 456.469 * * [simplify]: Extracting #11: cost 27 inf + 82692 456.493 * * [simplify]: Extracting #12: cost 3 inf + 110292 456.543 * * [simplify]: Extracting #13: cost 1 inf + 113942 456.578 * * [simplify]: Extracting #14: cost 0 inf + 116007 456.615 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ lambda1 lambda2)))))) 456.615 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 456.616 * * * * [progress]: [ 1481 / 5906 ] simplifiying candidate # 456.617 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 456.617 * * [simplify]: iters left: 6 (46 enodes) 456.631 * * [simplify]: iters left: 5 (216 enodes) 456.690 * * [simplify]: Extracting #0: cost 1 inf + 0 456.690 * * [simplify]: Extracting #1: cost 3 inf + 0 456.690 * * [simplify]: Extracting #2: cost 10 inf + 0 456.690 * * [simplify]: Extracting #3: cost 65 inf + 0 456.690 * * [simplify]: Extracting #4: cost 117 inf + 44 456.691 * * [simplify]: Extracting #5: cost 152 inf + 944 456.692 * * [simplify]: Extracting #6: cost 198 inf + 3140 456.694 * * [simplify]: Extracting #7: cost 166 inf + 8185 456.699 * * [simplify]: Extracting #8: cost 95 inf + 34974 456.710 * * [simplify]: Extracting #9: cost 35 inf + 62731 456.742 * * [simplify]: Extracting #10: cost 4 inf + 91532 456.781 * * [simplify]: Extracting #11: cost 0 inf + 95486 456.804 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 456.804 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 456.805 * * * * [progress]: [ 1482 / 5906 ] simplifiying candidate # 456.806 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 456.806 * * [simplify]: iters left: 6 (52 enodes) 456.832 * * [simplify]: iters left: 5 (254 enodes) 456.911 * * [simplify]: Extracting #0: cost 1 inf + 0 456.911 * * [simplify]: Extracting #1: cost 3 inf + 0 456.911 * * [simplify]: Extracting #2: cost 6 inf + 0 456.911 * * [simplify]: Extracting #3: cost 56 inf + 0 456.912 * * [simplify]: Extracting #4: cost 130 inf + 0 456.913 * * [simplify]: Extracting #5: cost 212 inf + 0 456.914 * * [simplify]: Extracting #6: cost 297 inf + 1189 456.918 * * [simplify]: Extracting #7: cost 236 inf + 12792 456.929 * * [simplify]: Extracting #8: cost 146 inf + 37213 456.946 * * [simplify]: Extracting #9: cost 97 inf + 54629 456.966 * * [simplify]: Extracting #10: cost 53 inf + 73453 456.987 * * [simplify]: Extracting #11: cost 12 inf + 115998 457.023 * * [simplify]: Extracting #12: cost 1 inf + 129513 457.057 * * [simplify]: Extracting #13: cost 0 inf + 131578 457.093 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 457.093 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 457.095 * * * * [progress]: [ 1483 / 5906 ] simplifiying candidate # 457.095 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 457.096 * * [simplify]: iters left: 6 (53 enodes) 457.110 * * [simplify]: iters left: 5 (263 enodes) 457.191 * * [simplify]: Extracting #0: cost 1 inf + 0 457.191 * * [simplify]: Extracting #1: cost 3 inf + 0 457.191 * * [simplify]: Extracting #2: cost 6 inf + 0 457.191 * * [simplify]: Extracting #3: cost 60 inf + 0 457.192 * * [simplify]: Extracting #4: cost 153 inf + 0 457.193 * * [simplify]: Extracting #5: cost 225 inf + 86 457.195 * * [simplify]: Extracting #6: cost 278 inf + 4039 457.201 * * [simplify]: Extracting #7: cost 230 inf + 13126 457.213 * * [simplify]: Extracting #8: cost 138 inf + 39202 457.238 * * [simplify]: Extracting #9: cost 56 inf + 76062 457.262 * * [simplify]: Extracting #10: cost 10 inf + 121905 457.310 * * [simplify]: Extracting #11: cost 0 inf + 134355 457.360 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 457.360 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 457.361 * * * * [progress]: [ 1484 / 5906 ] simplifiying candidate # 457.362 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 457.362 * * [simplify]: iters left: 6 (53 enodes) 457.390 * * [simplify]: iters left: 5 (263 enodes) 457.477 * * [simplify]: Extracting #0: cost 1 inf + 0 457.477 * * [simplify]: Extracting #1: cost 3 inf + 0 457.477 * * [simplify]: Extracting #2: cost 6 inf + 0 457.478 * * [simplify]: Extracting #3: cost 62 inf + 0 457.478 * * [simplify]: Extracting #4: cost 151 inf + 0 457.479 * * [simplify]: Extracting #5: cost 221 inf + 86 457.482 * * [simplify]: Extracting #6: cost 274 inf + 4520 457.488 * * [simplify]: Extracting #7: cost 228 inf + 13192 457.501 * * [simplify]: Extracting #8: cost 154 inf + 36763 457.516 * * [simplify]: Extracting #9: cost 94 inf + 59231 457.534 * * [simplify]: Extracting #10: cost 40 inf + 85627 457.560 * * [simplify]: Extracting #11: cost 4 inf + 126567 457.611 * * [simplify]: Extracting #12: cost 0 inf + 133347 457.651 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 457.651 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 457.652 * * * * [progress]: [ 1485 / 5906 ] simplifiying candidate # 457.652 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 457.653 * * [simplify]: iters left: 6 (47 enodes) 457.666 * * [simplify]: iters left: 5 (227 enodes) 457.728 * * [simplify]: Extracting #0: cost 1 inf + 0 457.728 * * [simplify]: Extracting #1: cost 3 inf + 0 457.728 * * [simplify]: Extracting #2: cost 6 inf + 0 457.728 * * [simplify]: Extracting #3: cost 54 inf + 0 457.728 * * [simplify]: Extracting #4: cost 119 inf + 0 457.729 * * [simplify]: Extracting #5: cost 170 inf + 44 457.731 * * [simplify]: Extracting #6: cost 241 inf + 1076 457.735 * * [simplify]: Extracting #7: cost 202 inf + 8499 457.742 * * [simplify]: Extracting #8: cost 150 inf + 19489 457.757 * * [simplify]: Extracting #9: cost 94 inf + 45267 457.782 * * [simplify]: Extracting #10: cost 47 inf + 63417 457.819 * * [simplify]: Extracting #11: cost 5 inf + 101641 457.851 * * [simplify]: Extracting #12: cost 1 inf + 107541 457.881 * * [simplify]: Extracting #13: cost 0 inf + 109486 457.926 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) 457.926 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 457.927 * * * * [progress]: [ 1486 / 5906 ] simplifiying candidate # 457.927 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 457.928 * * [simplify]: iters left: 6 (52 enodes) 457.956 * * [simplify]: iters left: 5 (255 enodes) 458.018 * * [simplify]: Extracting #0: cost 1 inf + 0 458.018 * * [simplify]: Extracting #1: cost 3 inf + 0 458.018 * * [simplify]: Extracting #2: cost 10 inf + 0 458.019 * * [simplify]: Extracting #3: cost 74 inf + 0 458.019 * * [simplify]: Extracting #4: cost 137 inf + 1 458.020 * * [simplify]: Extracting #5: cost 191 inf + 248 458.022 * * [simplify]: Extracting #6: cost 255 inf + 3543 458.028 * * [simplify]: Extracting #7: cost 207 inf + 13892 458.037 * * [simplify]: Extracting #8: cost 150 inf + 27669 458.056 * * [simplify]: Extracting #9: cost 103 inf + 47347 458.078 * * [simplify]: Extracting #10: cost 59 inf + 66344 458.092 * * [simplify]: Extracting #11: cost 32 inf + 83737 458.114 * * [simplify]: Extracting #12: cost 3 inf + 116422 458.155 * * [simplify]: Extracting #13: cost 1 inf + 120432 458.187 * * [simplify]: Extracting #14: cost 0 inf + 122497 458.223 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 458.224 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 458.225 * * * * [progress]: [ 1487 / 5906 ] simplifiying candidate # 458.225 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 458.226 * * [simplify]: iters left: 6 (47 enodes) 458.249 * * [simplify]: iters left: 5 (227 enodes) 458.339 * * [simplify]: Extracting #0: cost 1 inf + 0 458.339 * * [simplify]: Extracting #1: cost 3 inf + 0 458.339 * * [simplify]: Extracting #2: cost 10 inf + 0 458.339 * * [simplify]: Extracting #3: cost 66 inf + 0 458.340 * * [simplify]: Extracting #4: cost 117 inf + 44 458.341 * * [simplify]: Extracting #5: cost 154 inf + 1228 458.343 * * [simplify]: Extracting #6: cost 229 inf + 2934 458.346 * * [simplify]: Extracting #7: cost 206 inf + 7126 458.351 * * [simplify]: Extracting #8: cost 133 inf + 24437 458.362 * * [simplify]: Extracting #9: cost 62 inf + 54793 458.391 * * [simplify]: Extracting #10: cost 15 inf + 86161 458.418 * * [simplify]: Extracting #11: cost 3 inf + 99661 458.439 * * [simplify]: Extracting #12: cost 1 inf + 103431 458.468 * * [simplify]: Extracting #13: cost 0 inf + 105336 458.491 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)))))) 458.491 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 458.492 * * * * [progress]: [ 1488 / 5906 ] simplifiying candidate # 458.492 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 458.493 * * [simplify]: iters left: 6 (52 enodes) 458.513 * * [simplify]: iters left: 5 (255 enodes) 458.590 * * [simplify]: Extracting #0: cost 1 inf + 0 458.590 * * [simplify]: Extracting #1: cost 3 inf + 0 458.590 * * [simplify]: Extracting #2: cost 10 inf + 0 458.590 * * [simplify]: Extracting #3: cost 74 inf + 0 458.591 * * [simplify]: Extracting #4: cost 137 inf + 1 458.592 * * [simplify]: Extracting #5: cost 191 inf + 248 458.594 * * [simplify]: Extracting #6: cost 259 inf + 2414 458.598 * * [simplify]: Extracting #7: cost 211 inf + 12844 458.607 * * [simplify]: Extracting #8: cost 150 inf + 27669 458.623 * * [simplify]: Extracting #9: cost 97 inf + 51395 458.647 * * [simplify]: Extracting #10: cost 52 inf + 71799 458.668 * * [simplify]: Extracting #11: cost 7 inf + 112042 458.704 * * [simplify]: Extracting #12: cost 1 inf + 120432 458.729 * * [simplify]: Extracting #13: cost 0 inf + 122457 458.778 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 458.778 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 458.779 * * * * [progress]: [ 1489 / 5906 ] simplifiying candidate # 458.779 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 458.780 * * [simplify]: iters left: 6 (47 enodes) 458.801 * * [simplify]: iters left: 5 (227 enodes) 458.848 * * [simplify]: Extracting #0: cost 1 inf + 0 458.848 * * [simplify]: Extracting #1: cost 3 inf + 0 458.848 * * [simplify]: Extracting #2: cost 10 inf + 0 458.848 * * [simplify]: Extracting #3: cost 65 inf + 0 458.849 * * [simplify]: Extracting #4: cost 116 inf + 86 458.849 * * [simplify]: Extracting #5: cost 152 inf + 1553 458.850 * * [simplify]: Extracting #6: cost 230 inf + 2772 458.852 * * [simplify]: Extracting #7: cost 205 inf + 7328 458.856 * * [simplify]: Extracting #8: cost 131 inf + 25543 458.867 * * [simplify]: Extracting #9: cost 63 inf + 54690 458.882 * * [simplify]: Extracting #10: cost 15 inf + 86561 458.914 * * [simplify]: Extracting #11: cost 3 inf + 100061 458.956 * * [simplify]: Extracting #12: cost 1 inf + 103831 458.998 * * [simplify]: Extracting #13: cost 0 inf + 105736 459.040 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)))))) 459.040 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 459.041 * * * * [progress]: [ 1490 / 5906 ] simplifiying candidate # 459.042 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 459.042 * * [simplify]: iters left: 6 (52 enodes) 459.069 * * [simplify]: iters left: 5 (250 enodes) 459.142 * * [simplify]: Extracting #0: cost 1 inf + 0 459.142 * * [simplify]: Extracting #1: cost 3 inf + 0 459.142 * * [simplify]: Extracting #2: cost 6 inf + 0 459.143 * * [simplify]: Extracting #3: cost 53 inf + 0 459.143 * * [simplify]: Extracting #4: cost 118 inf + 0 459.143 * * [simplify]: Extracting #5: cost 183 inf + 0 459.144 * * [simplify]: Extracting #6: cost 264 inf + 89 459.147 * * [simplify]: Extracting #7: cost 205 inf + 8902 459.156 * * [simplify]: Extracting #8: cost 133 inf + 26115 459.170 * * [simplify]: Extracting #9: cost 85 inf + 44516 459.190 * * [simplify]: Extracting #10: cost 49 inf + 60423 459.225 * * [simplify]: Extracting #11: cost 7 inf + 105033 459.248 * * [simplify]: Extracting #12: cost 1 inf + 112343 459.271 * * [simplify]: Extracting #13: cost 0 inf + 114208 459.308 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) 459.308 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 459.309 * * * * [progress]: [ 1491 / 5906 ] simplifiying candidate # 459.309 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 459.310 * * [simplify]: iters left: 6 (53 enodes) 459.338 * * [simplify]: iters left: 5 (259 enodes) 459.415 * * [simplify]: Extracting #0: cost 1 inf + 0 459.415 * * [simplify]: Extracting #1: cost 3 inf + 0 459.415 * * [simplify]: Extracting #2: cost 6 inf + 0 459.415 * * [simplify]: Extracting #3: cost 56 inf + 0 459.416 * * [simplify]: Extracting #4: cost 140 inf + 0 459.417 * * [simplify]: Extracting #5: cost 195 inf + 85 459.419 * * [simplify]: Extracting #6: cost 244 inf + 3108 459.424 * * [simplify]: Extracting #7: cost 193 inf + 12753 459.431 * * [simplify]: Extracting #8: cost 130 inf + 29488 459.439 * * [simplify]: Extracting #9: cost 88 inf + 48810 459.453 * * [simplify]: Extracting #10: cost 47 inf + 65825 459.486 * * [simplify]: Extracting #11: cost 8 inf + 104720 459.513 * * [simplify]: Extracting #12: cost 0 inf + 116160 459.552 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 459.552 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 459.553 * * * * [progress]: [ 1492 / 5906 ] simplifiying candidate # 459.553 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 459.553 * * [simplify]: iters left: 6 (53 enodes) 459.567 * * [simplify]: iters left: 5 (259 enodes) 459.622 * * [simplify]: Extracting #0: cost 1 inf + 0 459.622 * * [simplify]: Extracting #1: cost 3 inf + 0 459.622 * * [simplify]: Extracting #2: cost 6 inf + 0 459.622 * * [simplify]: Extracting #3: cost 58 inf + 0 459.623 * * [simplify]: Extracting #4: cost 138 inf + 0 459.623 * * [simplify]: Extracting #5: cost 192 inf + 44 459.624 * * [simplify]: Extracting #6: cost 237 inf + 4518 459.627 * * [simplify]: Extracting #7: cost 186 inf + 14038 459.632 * * [simplify]: Extracting #8: cost 130 inf + 30391 459.642 * * [simplify]: Extracting #9: cost 82 inf + 50510 459.655 * * [simplify]: Extracting #10: cost 51 inf + 61317 459.678 * * [simplify]: Extracting #11: cost 34 inf + 73542 459.716 * * [simplify]: Extracting #12: cost 6 inf + 103202 459.756 * * [simplify]: Extracting #13: cost 0 inf + 111072 459.785 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 459.785 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 459.786 * * * * [progress]: [ 1493 / 5906 ] simplifiying candidate # 459.787 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 459.787 * * [simplify]: iters left: 6 (47 enodes) 459.802 * * [simplify]: iters left: 5 (222 enodes) 459.871 * * [simplify]: Extracting #0: cost 1 inf + 0 459.871 * * [simplify]: Extracting #1: cost 3 inf + 0 459.871 * * [simplify]: Extracting #2: cost 6 inf + 0 459.871 * * [simplify]: Extracting #3: cost 50 inf + 0 459.872 * * [simplify]: Extracting #4: cost 107 inf + 0 459.872 * * [simplify]: Extracting #5: cost 137 inf + 412 459.874 * * [simplify]: Extracting #6: cost 195 inf + 2372 459.877 * * [simplify]: Extracting #7: cost 166 inf + 7534 459.886 * * [simplify]: Extracting #8: cost 96 inf + 28880 459.894 * * [simplify]: Extracting #9: cost 49 inf + 49294 459.912 * * [simplify]: Extracting #10: cost 13 inf + 77514 459.946 * * [simplify]: Extracting #11: cost 0 inf + 90373 459.973 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 459.973 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 459.974 * * * * [progress]: [ 1494 / 5906 ] simplifiying candidate # 459.974 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 459.974 * * [simplify]: iters left: 6 (52 enodes) 459.990 * * [simplify]: iters left: 5 (250 enodes) 460.092 * * [simplify]: Extracting #0: cost 1 inf + 0 460.092 * * [simplify]: Extracting #1: cost 3 inf + 0 460.092 * * [simplify]: Extracting #2: cost 10 inf + 0 460.092 * * [simplify]: Extracting #3: cost 66 inf + 0 460.093 * * [simplify]: Extracting #4: cost 126 inf + 1 460.093 * * [simplify]: Extracting #5: cost 164 inf + 207 460.095 * * [simplify]: Extracting #6: cost 228 inf + 1925 460.099 * * [simplify]: Extracting #7: cost 198 inf + 7244 460.106 * * [simplify]: Extracting #8: cost 140 inf + 21739 460.118 * * [simplify]: Extracting #9: cost 98 inf + 36324 460.136 * * [simplify]: Extracting #10: cost 47 inf + 59419 460.155 * * [simplify]: Extracting #11: cost 4 inf + 98412 460.192 * * [simplify]: Extracting #12: cost 1 inf + 102967 460.235 * * [simplify]: Extracting #13: cost 0 inf + 104792 460.277 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 460.277 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 460.278 * * * * [progress]: [ 1495 / 5906 ] simplifiying candidate # 460.279 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 460.279 * * [simplify]: iters left: 6 (47 enodes) 460.304 * * [simplify]: iters left: 5 (223 enodes) 460.355 * * [simplify]: Extracting #0: cost 1 inf + 0 460.355 * * [simplify]: Extracting #1: cost 3 inf + 0 460.355 * * [simplify]: Extracting #2: cost 10 inf + 0 460.355 * * [simplify]: Extracting #3: cost 57 inf + 0 460.356 * * [simplify]: Extracting #4: cost 105 inf + 44 460.357 * * [simplify]: Extracting #5: cost 130 inf + 820 460.359 * * [simplify]: Extracting #6: cost 191 inf + 3016 460.362 * * [simplify]: Extracting #7: cost 159 inf + 9347 460.372 * * [simplify]: Extracting #8: cost 115 inf + 24624 460.385 * * [simplify]: Extracting #9: cost 83 inf + 35797 460.393 * * [simplify]: Extracting #10: cost 40 inf + 51522 460.407 * * [simplify]: Extracting #11: cost 6 inf + 79479 460.430 * * [simplify]: Extracting #12: cost 0 inf + 87229 460.456 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ phi1 phi2))))) 460.456 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 460.457 * * * * [progress]: [ 1496 / 5906 ] simplifiying candidate # 460.457 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 460.457 * * [simplify]: iters left: 6 (52 enodes) 460.470 * * [simplify]: iters left: 5 (250 enodes) 460.551 * * [simplify]: Extracting #0: cost 1 inf + 0 460.551 * * [simplify]: Extracting #1: cost 3 inf + 0 460.551 * * [simplify]: Extracting #2: cost 10 inf + 0 460.551 * * [simplify]: Extracting #3: cost 66 inf + 0 460.551 * * [simplify]: Extracting #4: cost 126 inf + 1 460.551 * * [simplify]: Extracting #5: cost 164 inf + 207 460.555 * * [simplify]: Extracting #6: cost 227 inf + 2045 460.556 * * [simplify]: Extracting #7: cost 197 inf + 7446 460.560 * * [simplify]: Extracting #8: cost 142 inf + 20723 460.565 * * [simplify]: Extracting #9: cost 99 inf + 35800 460.582 * * [simplify]: Extracting #10: cost 47 inf + 60059 460.619 * * [simplify]: Extracting #11: cost 4 inf + 99212 460.652 * * [simplify]: Extracting #12: cost 1 inf + 103767 460.674 * * [simplify]: Extracting #13: cost 0 inf + 105592 460.716 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 460.716 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 460.717 * * * * [progress]: [ 1497 / 5906 ] simplifiying candidate # 460.718 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 460.718 * * [simplify]: iters left: 6 (47 enodes) 460.742 * * [simplify]: iters left: 5 (223 enodes) 460.825 * * [simplify]: Extracting #0: cost 1 inf + 0 460.825 * * [simplify]: Extracting #1: cost 3 inf + 0 460.825 * * [simplify]: Extracting #2: cost 10 inf + 0 460.825 * * [simplify]: Extracting #3: cost 56 inf + 0 460.826 * * [simplify]: Extracting #4: cost 104 inf + 86 460.827 * * [simplify]: Extracting #5: cost 125 inf + 1350 460.829 * * [simplify]: Extracting #6: cost 191 inf + 2976 460.832 * * [simplify]: Extracting #7: cost 163 inf + 8861 460.843 * * [simplify]: Extracting #8: cost 96 inf + 30776 460.863 * * [simplify]: Extracting #9: cost 47 inf + 50667 460.877 * * [simplify]: Extracting #10: cost 7 inf + 80347 460.900 * * [simplify]: Extracting #11: cost 0 inf + 88509 460.933 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (+ phi1 phi2))))) 460.933 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 460.934 * * * * [progress]: [ 1498 / 5906 ] simplifiying candidate # 460.935 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 460.935 * * [simplify]: iters left: 6 (48 enodes) 460.960 * * [simplify]: iters left: 5 (227 enodes) 461.022 * * [simplify]: Extracting #0: cost 1 inf + 0 461.022 * * [simplify]: Extracting #1: cost 3 inf + 0 461.022 * * [simplify]: Extracting #2: cost 6 inf + 0 461.022 * * [simplify]: Extracting #3: cost 48 inf + 0 461.022 * * [simplify]: Extracting #4: cost 112 inf + 0 461.023 * * [simplify]: Extracting #5: cost 181 inf + 0 461.024 * * [simplify]: Extracting #6: cost 243 inf + 342 461.027 * * [simplify]: Extracting #7: cost 206 inf + 5600 461.035 * * [simplify]: Extracting #8: cost 105 inf + 28721 461.049 * * [simplify]: Extracting #9: cost 47 inf + 56459 461.066 * * [simplify]: Extracting #10: cost 4 inf + 97404 461.101 * * [simplify]: Extracting #11: cost 0 inf + 102464 461.141 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 461.141 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 461.142 * * * * [progress]: [ 1499 / 5906 ] simplifiying candidate # 461.142 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 461.143 * * [simplify]: iters left: 6 (49 enodes) 461.167 * * [simplify]: iters left: 5 (236 enodes) 461.234 * * [simplify]: Extracting #0: cost 1 inf + 0 461.234 * * [simplify]: Extracting #1: cost 3 inf + 0 461.234 * * [simplify]: Extracting #2: cost 6 inf + 0 461.234 * * [simplify]: Extracting #3: cost 52 inf + 0 461.234 * * [simplify]: Extracting #4: cost 135 inf + 0 461.235 * * [simplify]: Extracting #5: cost 193 inf + 127 461.236 * * [simplify]: Extracting #6: cost 217 inf + 4927 461.238 * * [simplify]: Extracting #7: cost 174 inf + 13958 461.243 * * [simplify]: Extracting #8: cost 121 inf + 29293 461.251 * * [simplify]: Extracting #9: cost 83 inf + 44899 461.261 * * [simplify]: Extracting #10: cost 42 inf + 62711 461.279 * * [simplify]: Extracting #11: cost 9 inf + 97176 461.317 * * [simplify]: Extracting #12: cost 0 inf + 107921 461.354 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi1 phi2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) 461.354 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi1 phi2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 461.354 * * * * [progress]: [ 1500 / 5906 ] simplifiying candidate # 461.354 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 461.355 * * [simplify]: iters left: 6 (49 enodes) 461.367 * * [simplify]: iters left: 5 (236 enodes) 461.454 * * [simplify]: Extracting #0: cost 1 inf + 0 461.454 * * [simplify]: Extracting #1: cost 3 inf + 0 461.454 * * [simplify]: Extracting #2: cost 6 inf + 0 461.455 * * [simplify]: Extracting #3: cost 54 inf + 0 461.459 * * [simplify]: Extracting #4: cost 133 inf + 0 461.460 * * [simplify]: Extracting #5: cost 188 inf + 208 461.462 * * [simplify]: Extracting #6: cost 214 inf + 5045 461.467 * * [simplify]: Extracting #7: cost 179 inf + 12136 461.476 * * [simplify]: Extracting #8: cost 115 inf + 27799 461.485 * * [simplify]: Extracting #9: cost 56 inf + 52707 461.496 * * [simplify]: Extracting #10: cost 32 inf + 68873 461.527 * * [simplify]: Extracting #11: cost 1 inf + 103888 461.554 * * [simplify]: Extracting #12: cost 0 inf + 105793 461.583 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) 461.583 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 461.584 * * * * [progress]: [ 1501 / 5906 ] simplifiying candidate # 461.585 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 461.585 * * [simplify]: iters left: 6 (43 enodes) 461.609 * * [simplify]: iters left: 5 (199 enodes) 461.686 * * [simplify]: Extracting #0: cost 1 inf + 0 461.686 * * [simplify]: Extracting #1: cost 3 inf + 0 461.686 * * [simplify]: Extracting #2: cost 6 inf + 0 461.686 * * [simplify]: Extracting #3: cost 46 inf + 0 461.687 * * [simplify]: Extracting #4: cost 101 inf + 0 461.687 * * [simplify]: Extracting #5: cost 133 inf + 372 461.689 * * [simplify]: Extracting #6: cost 178 inf + 2207 461.692 * * [simplify]: Extracting #7: cost 156 inf + 6237 461.699 * * [simplify]: Extracting #8: cost 98 inf + 21145 461.711 * * [simplify]: Extracting #9: cost 48 inf + 44349 461.726 * * [simplify]: Extracting #10: cost 11 inf + 72070 461.746 * * [simplify]: Extracting #11: cost 0 inf + 83692 461.778 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2)))))) 461.778 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 461.779 * * * * [progress]: [ 1502 / 5906 ] simplifiying candidate # 461.779 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 461.780 * * [simplify]: iters left: 6 (48 enodes) 461.804 * * [simplify]: iters left: 5 (227 enodes) 461.865 * * [simplify]: Extracting #0: cost 1 inf + 0 461.865 * * [simplify]: Extracting #1: cost 3 inf + 0 461.865 * * [simplify]: Extracting #2: cost 10 inf + 0 461.865 * * [simplify]: Extracting #3: cost 62 inf + 0 461.866 * * [simplify]: Extracting #4: cost 115 inf + 42 461.867 * * [simplify]: Extracting #5: cost 158 inf + 207 461.869 * * [simplify]: Extracting #6: cost 199 inf + 2773 461.872 * * [simplify]: Extracting #7: cost 175 inf + 7815 461.876 * * [simplify]: Extracting #8: cost 96 inf + 28406 461.885 * * [simplify]: Extracting #9: cost 43 inf + 52517 461.901 * * [simplify]: Extracting #10: cost 3 inf + 90473 461.933 * * [simplify]: Extracting #11: cost 0 inf + 94028 461.970 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 461.970 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 461.971 * * * * [progress]: [ 1503 / 5906 ] simplifiying candidate # 461.971 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 461.971 * * [simplify]: iters left: 6 (43 enodes) 461.985 * * [simplify]: iters left: 5 (199 enodes) 462.040 * * [simplify]: Extracting #0: cost 1 inf + 0 462.040 * * [simplify]: Extracting #1: cost 3 inf + 0 462.040 * * [simplify]: Extracting #2: cost 10 inf + 0 462.040 * * [simplify]: Extracting #3: cost 54 inf + 0 462.040 * * [simplify]: Extracting #4: cost 95 inf + 86 462.041 * * [simplify]: Extracting #5: cost 119 inf + 1471 462.043 * * [simplify]: Extracting #6: cost 169 inf + 2895 462.046 * * [simplify]: Extracting #7: cost 155 inf + 5788 462.052 * * [simplify]: Extracting #8: cost 97 inf + 21083 462.070 * * [simplify]: Extracting #9: cost 40 inf + 49184 462.100 * * [simplify]: Extracting #10: cost 6 inf + 71884 462.132 * * [simplify]: Extracting #11: cost 0 inf + 77427 462.163 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) 462.163 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 462.164 * * * * [progress]: [ 1504 / 5906 ] simplifiying candidate # 462.164 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 462.165 * * [simplify]: iters left: 6 (48 enodes) 462.189 * * [simplify]: iters left: 5 (227 enodes) 462.283 * * [simplify]: Extracting #0: cost 1 inf + 0 462.284 * * [simplify]: Extracting #1: cost 3 inf + 0 462.284 * * [simplify]: Extracting #2: cost 10 inf + 0 462.284 * * [simplify]: Extracting #3: cost 62 inf + 0 462.284 * * [simplify]: Extracting #4: cost 115 inf + 42 462.285 * * [simplify]: Extracting #5: cost 156 inf + 290 462.287 * * [simplify]: Extracting #6: cost 198 inf + 3015 462.291 * * [simplify]: Extracting #7: cost 176 inf + 7693 462.299 * * [simplify]: Extracting #8: cost 93 inf + 29428 462.316 * * [simplify]: Extracting #9: cost 43 inf + 53018 462.342 * * [simplify]: Extracting #10: cost 4 inf + 90248 462.362 * * [simplify]: Extracting #11: cost 0 inf + 94748 462.393 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 462.393 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 462.394 * * * * [progress]: [ 1505 / 5906 ] simplifiying candidate # 462.394 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 462.394 * * [simplify]: iters left: 6 (43 enodes) 462.407 * * [simplify]: iters left: 5 (199 enodes) 462.475 * * [simplify]: Extracting #0: cost 1 inf + 0 462.475 * * [simplify]: Extracting #1: cost 3 inf + 0 462.475 * * [simplify]: Extracting #2: cost 10 inf + 0 462.475 * * [simplify]: Extracting #3: cost 53 inf + 0 462.476 * * [simplify]: Extracting #4: cost 96 inf + 44 462.476 * * [simplify]: Extracting #5: cost 123 inf + 1023 462.478 * * [simplify]: Extracting #6: cost 170 inf + 2733 462.481 * * [simplify]: Extracting #7: cost 157 inf + 5583 462.490 * * [simplify]: Extracting #8: cost 82 inf + 28450 462.511 * * [simplify]: Extracting #9: cost 23 inf + 60313 462.533 * * [simplify]: Extracting #10: cost 2 inf + 77563 462.552 * * [simplify]: Extracting #11: cost 0 inf + 77747 462.582 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) 462.583 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 462.583 * * * * [progress]: [ 1506 / 5906 ] simplifiying candidate # 462.584 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 462.585 * * [simplify]: iters left: 6 (52 enodes) 462.600 * * [simplify]: iters left: 5 (255 enodes) 462.665 * * [simplify]: Extracting #0: cost 1 inf + 0 462.666 * * [simplify]: Extracting #1: cost 3 inf + 0 462.666 * * [simplify]: Extracting #2: cost 6 inf + 0 462.666 * * [simplify]: Extracting #3: cost 56 inf + 0 462.666 * * [simplify]: Extracting #4: cost 130 inf + 0 462.667 * * [simplify]: Extracting #5: cost 210 inf + 0 462.668 * * [simplify]: Extracting #6: cost 282 inf + 595 462.670 * * [simplify]: Extracting #7: cost 223 inf + 10140 462.676 * * [simplify]: Extracting #8: cost 119 inf + 39400 462.686 * * [simplify]: Extracting #9: cost 60 inf + 63046 462.706 * * [simplify]: Extracting #10: cost 15 inf + 105869 462.730 * * [simplify]: Extracting #11: cost 1 inf + 121579 462.771 * * [simplify]: Extracting #12: cost 0 inf + 123644 462.819 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))))) 462.819 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 462.821 * * * * [progress]: [ 1507 / 5906 ] simplifiying candidate # 462.821 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 462.822 * * [simplify]: iters left: 6 (53 enodes) 462.849 * * [simplify]: iters left: 5 (264 enodes) 462.923 * * [simplify]: Extracting #0: cost 1 inf + 0 462.923 * * [simplify]: Extracting #1: cost 3 inf + 0 462.923 * * [simplify]: Extracting #2: cost 6 inf + 0 462.923 * * [simplify]: Extracting #3: cost 60 inf + 0 462.923 * * [simplify]: Extracting #4: cost 153 inf + 0 462.924 * * [simplify]: Extracting #5: cost 224 inf + 44 462.925 * * [simplify]: Extracting #6: cost 259 inf + 4323 462.929 * * [simplify]: Extracting #7: cost 203 inf + 14533 462.935 * * [simplify]: Extracting #8: cost 145 inf + 32120 462.945 * * [simplify]: Extracting #9: cost 98 inf + 53366 462.958 * * [simplify]: Extracting #10: cost 41 inf + 79436 462.993 * * [simplify]: Extracting #11: cost 1 inf + 124076 463.042 * * [simplify]: Extracting #12: cost 0 inf + 126221 463.090 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 463.090 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 463.091 * * * * [progress]: [ 1508 / 5906 ] simplifiying candidate # 463.092 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 463.093 * * [simplify]: iters left: 6 (53 enodes) 463.109 * * [simplify]: iters left: 5 (264 enodes) 463.177 * * [simplify]: Extracting #0: cost 1 inf + 0 463.177 * * [simplify]: Extracting #1: cost 3 inf + 0 463.177 * * [simplify]: Extracting #2: cost 6 inf + 0 463.177 * * [simplify]: Extracting #3: cost 62 inf + 0 463.178 * * [simplify]: Extracting #4: cost 151 inf + 0 463.179 * * [simplify]: Extracting #5: cost 220 inf + 44 463.181 * * [simplify]: Extracting #6: cost 250 inf + 5974 463.184 * * [simplify]: Extracting #7: cost 194 inf + 16747 463.190 * * [simplify]: Extracting #8: cost 143 inf + 33180 463.199 * * [simplify]: Extracting #9: cost 94 inf + 52614 463.215 * * [simplify]: Extracting #10: cost 52 inf + 71435 463.240 * * [simplify]: Extracting #11: cost 5 inf + 116248 463.271 * * [simplify]: Extracting #12: cost 0 inf + 122373 463.318 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 463.318 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 463.319 * * * * [progress]: [ 1509 / 5906 ] simplifiying candidate # 463.320 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 463.320 * * [simplify]: iters left: 6 (47 enodes) 463.345 * * [simplify]: iters left: 5 (228 enodes) 463.407 * * [simplify]: Extracting #0: cost 1 inf + 0 463.407 * * [simplify]: Extracting #1: cost 3 inf + 0 463.407 * * [simplify]: Extracting #2: cost 6 inf + 0 463.408 * * [simplify]: Extracting #3: cost 54 inf + 0 463.408 * * [simplify]: Extracting #4: cost 119 inf + 0 463.408 * * [simplify]: Extracting #5: cost 168 inf + 44 463.409 * * [simplify]: Extracting #6: cost 220 inf + 2085 463.411 * * [simplify]: Extracting #7: cost 180 inf + 8224 463.414 * * [simplify]: Extracting #8: cost 147 inf + 15577 463.421 * * [simplify]: Extracting #9: cost 92 inf + 39941 463.431 * * [simplify]: Extracting #10: cost 44 inf + 57798 463.454 * * [simplify]: Extracting #11: cost 8 inf + 87352 463.491 * * [simplify]: Extracting #12: cost 1 inf + 95727 463.513 * * [simplify]: Extracting #13: cost 0 inf + 97592 463.537 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))))) 463.537 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 463.538 * * * * [progress]: [ 1510 / 5906 ] simplifiying candidate # 463.538 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 463.538 * * [simplify]: iters left: 6 (52 enodes) 463.552 * * [simplify]: iters left: 5 (256 enodes) 463.624 * * [simplify]: Extracting #0: cost 1 inf + 0 463.624 * * [simplify]: Extracting #1: cost 3 inf + 0 463.624 * * [simplify]: Extracting #2: cost 10 inf + 0 463.624 * * [simplify]: Extracting #3: cost 74 inf + 0 463.624 * * [simplify]: Extracting #4: cost 137 inf + 1 463.625 * * [simplify]: Extracting #5: cost 189 inf + 248 463.626 * * [simplify]: Extracting #6: cost 240 inf + 2619 463.629 * * [simplify]: Extracting #7: cost 189 inf + 12419 463.635 * * [simplify]: Extracting #8: cost 140 inf + 28365 463.651 * * [simplify]: Extracting #9: cost 95 inf + 46741 463.671 * * [simplify]: Extracting #10: cost 39 inf + 71910 463.692 * * [simplify]: Extracting #11: cost 6 inf + 107213 463.737 * * [simplify]: Extracting #12: cost 1 inf + 114858 463.783 * * [simplify]: Extracting #13: cost 0 inf + 116963 463.818 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2))) (- lambda1 lambda2))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2))))))) 463.818 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2))) (- lambda1 lambda2))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 463.819 * * * * [progress]: [ 1511 / 5906 ] simplifiying candidate # 463.819 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 463.820 * * [simplify]: iters left: 6 (47 enodes) 463.835 * * [simplify]: iters left: 5 (228 enodes) 463.909 * * [simplify]: Extracting #0: cost 1 inf + 0 463.909 * * [simplify]: Extracting #1: cost 3 inf + 0 463.909 * * [simplify]: Extracting #2: cost 10 inf + 0 463.909 * * [simplify]: Extracting #3: cost 66 inf + 0 463.910 * * [simplify]: Extracting #4: cost 117 inf + 44 463.910 * * [simplify]: Extracting #5: cost 153 inf + 1186 463.911 * * [simplify]: Extracting #6: cost 212 inf + 3015 463.913 * * [simplify]: Extracting #7: cost 182 inf + 8179 463.918 * * [simplify]: Extracting #8: cost 115 inf + 27608 463.928 * * [simplify]: Extracting #9: cost 40 inf + 58633 463.949 * * [simplify]: Extracting #10: cost 11 inf + 83447 463.971 * * [simplify]: Extracting #11: cost 1 inf + 95377 463.991 * * [simplify]: Extracting #12: cost 0 inf + 97162 464.011 * * [simplify]: Extracting #13: cost 0 inf + 97082 464.038 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) 464.038 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 464.039 * * * * [progress]: [ 1512 / 5906 ] simplifiying candidate # 464.039 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 464.040 * * [simplify]: iters left: 6 (52 enodes) 464.057 * * [simplify]: iters left: 5 (256 enodes) 464.144 * * [simplify]: Extracting #0: cost 1 inf + 0 464.144 * * [simplify]: Extracting #1: cost 3 inf + 0 464.144 * * [simplify]: Extracting #2: cost 10 inf + 0 464.145 * * [simplify]: Extracting #3: cost 74 inf + 0 464.145 * * [simplify]: Extracting #4: cost 137 inf + 1 464.146 * * [simplify]: Extracting #5: cost 189 inf + 248 464.148 * * [simplify]: Extracting #6: cost 244 inf + 1852 464.153 * * [simplify]: Extracting #7: cost 197 inf + 10361 464.166 * * [simplify]: Extracting #8: cost 144 inf + 27079 464.182 * * [simplify]: Extracting #9: cost 95 inf + 47621 464.206 * * [simplify]: Extracting #10: cost 39 inf + 72870 464.238 * * [simplify]: Extracting #11: cost 5 inf + 110158 464.264 * * [simplify]: Extracting #12: cost 1 inf + 115818 464.312 * * [simplify]: Extracting #13: cost 0 inf + 117923 464.360 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2))) (- lambda1 lambda2))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2))))))) 464.360 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2))) (- lambda1 lambda2))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 464.361 * * * * [progress]: [ 1513 / 5906 ] simplifiying candidate # 464.361 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 464.362 * * [simplify]: iters left: 6 (47 enodes) 464.387 * * [simplify]: iters left: 5 (228 enodes) 464.477 * * [simplify]: Extracting #0: cost 1 inf + 0 464.477 * * [simplify]: Extracting #1: cost 3 inf + 0 464.477 * * [simplify]: Extracting #2: cost 10 inf + 0 464.477 * * [simplify]: Extracting #3: cost 65 inf + 0 464.478 * * [simplify]: Extracting #4: cost 116 inf + 86 464.479 * * [simplify]: Extracting #5: cost 150 inf + 1552 464.481 * * [simplify]: Extracting #6: cost 211 inf + 3017 464.487 * * [simplify]: Extracting #7: cost 182 inf + 8059 464.496 * * [simplify]: Extracting #8: cost 132 inf + 24308 464.503 * * [simplify]: Extracting #9: cost 90 inf + 40492 464.514 * * [simplify]: Extracting #10: cost 37 inf + 60357 464.529 * * [simplify]: Extracting #11: cost 11 inf + 83327 464.554 * * [simplify]: Extracting #12: cost 1 inf + 94457 464.592 * * [simplify]: Extracting #13: cost 0 inf + 96162 464.631 * * [simplify]: Extracting #14: cost 0 inf + 96082 464.660 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) 464.660 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 464.661 * * * * [progress]: [ 1514 / 5906 ] simplifiying candidate # 464.661 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 464.662 * * [simplify]: iters left: 6 (51 enodes) 464.675 * * [simplify]: iters left: 5 (243 enodes) 464.764 * * [simplify]: Extracting #0: cost 1 inf + 0 464.765 * * [simplify]: Extracting #1: cost 3 inf + 0 464.765 * * [simplify]: Extracting #2: cost 6 inf + 0 464.765 * * [simplify]: Extracting #3: cost 56 inf + 0 464.765 * * [simplify]: Extracting #4: cost 130 inf + 0 464.765 * * [simplify]: Extracting #5: cost 208 inf + 0 464.766 * * [simplify]: Extracting #6: cost 259 inf + 2438 464.769 * * [simplify]: Extracting #7: cost 186 inf + 15895 464.774 * * [simplify]: Extracting #8: cost 141 inf + 30824 464.785 * * [simplify]: Extracting #9: cost 91 inf + 49764 464.806 * * [simplify]: Extracting #10: cost 50 inf + 65358 464.844 * * [simplify]: Extracting #11: cost 4 inf + 114428 464.869 * * [simplify]: Extracting #12: cost 1 inf + 119703 464.910 * * [simplify]: Extracting #13: cost 0 inf + 121728 464.937 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 464.937 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 464.938 * * * * [progress]: [ 1515 / 5906 ] simplifiying candidate # 464.938 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 464.939 * * [simplify]: iters left: 6 (52 enodes) 464.964 * * [simplify]: iters left: 5 (252 enodes) 465.040 * * [simplify]: Extracting #0: cost 1 inf + 0 465.040 * * [simplify]: Extracting #1: cost 3 inf + 0 465.040 * * [simplify]: Extracting #2: cost 6 inf + 0 465.040 * * [simplify]: Extracting #3: cost 60 inf + 0 465.041 * * [simplify]: Extracting #4: cost 153 inf + 0 465.042 * * [simplify]: Extracting #5: cost 222 inf + 44 465.045 * * [simplify]: Extracting #6: cost 248 inf + 4443 465.050 * * [simplify]: Extracting #7: cost 201 inf + 12269 465.058 * * [simplify]: Extracting #8: cost 153 inf + 24408 465.067 * * [simplify]: Extracting #9: cost 97 inf + 46140 465.079 * * [simplify]: Extracting #10: cost 53 inf + 67980 465.108 * * [simplify]: Extracting #11: cost 8 inf + 116185 465.142 * * [simplify]: Extracting #12: cost 1 inf + 124960 465.185 * * [simplify]: Extracting #13: cost 0 inf + 127145 465.233 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 465.233 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 465.234 * * * * [progress]: [ 1516 / 5906 ] simplifiying candidate # 465.234 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 465.234 * * [simplify]: iters left: 6 (52 enodes) 465.249 * * [simplify]: iters left: 5 (252 enodes) 465.328 * * [simplify]: Extracting #0: cost 1 inf + 0 465.328 * * [simplify]: Extracting #1: cost 3 inf + 0 465.328 * * [simplify]: Extracting #2: cost 6 inf + 0 465.328 * * [simplify]: Extracting #3: cost 62 inf + 0 465.329 * * [simplify]: Extracting #4: cost 151 inf + 0 465.330 * * [simplify]: Extracting #5: cost 218 inf + 44 465.332 * * [simplify]: Extracting #6: cost 255 inf + 2702 465.337 * * [simplify]: Extracting #7: cost 198 inf + 11947 465.344 * * [simplify]: Extracting #8: cost 127 inf + 31697 465.354 * * [simplify]: Extracting #9: cost 61 inf + 60302 465.379 * * [simplify]: Extracting #10: cost 9 inf + 111832 465.425 * * [simplify]: Extracting #11: cost 1 inf + 122232 465.451 * * [simplify]: Extracting #12: cost 0 inf + 124417 465.490 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 465.490 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 465.491 * * * * [progress]: [ 1517 / 5906 ] simplifiying candidate # 465.492 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 465.492 * * [simplify]: iters left: 6 (46 enodes) 465.510 * * [simplify]: iters left: 5 (216 enodes) 465.561 * * [simplify]: Extracting #0: cost 1 inf + 0 465.562 * * [simplify]: Extracting #1: cost 3 inf + 0 465.562 * * [simplify]: Extracting #2: cost 6 inf + 0 465.562 * * [simplify]: Extracting #3: cost 54 inf + 0 465.562 * * [simplify]: Extracting #4: cost 119 inf + 0 465.563 * * [simplify]: Extracting #5: cost 165 inf + 85 465.564 * * [simplify]: Extracting #6: cost 205 inf + 2292 465.565 * * [simplify]: Extracting #7: cost 165 inf + 9388 465.570 * * [simplify]: Extracting #8: cost 128 inf + 23171 465.576 * * [simplify]: Extracting #9: cost 90 inf + 39686 465.594 * * [simplify]: Extracting #10: cost 43 inf + 56374 465.612 * * [simplify]: Extracting #11: cost 10 inf + 87106 465.639 * * [simplify]: Extracting #12: cost 1 inf + 98291 465.668 * * [simplify]: Extracting #13: cost 0 inf + 100196 465.689 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) 465.689 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 465.690 * * * * [progress]: [ 1518 / 5906 ] simplifiying candidate # 465.690 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 465.690 * * [simplify]: iters left: 6 (51 enodes) 465.703 * * [simplify]: iters left: 5 (244 enodes) 465.791 * * [simplify]: Extracting #0: cost 1 inf + 0 465.791 * * [simplify]: Extracting #1: cost 3 inf + 0 465.791 * * [simplify]: Extracting #2: cost 10 inf + 0 465.791 * * [simplify]: Extracting #3: cost 74 inf + 0 465.792 * * [simplify]: Extracting #4: cost 137 inf + 1 465.793 * * [simplify]: Extracting #5: cost 187 inf + 249 465.795 * * [simplify]: Extracting #6: cost 229 inf + 2578 465.800 * * [simplify]: Extracting #7: cost 181 inf + 11721 465.809 * * [simplify]: Extracting #8: cost 136 inf + 28387 465.822 * * [simplify]: Extracting #9: cost 95 inf + 43337 465.833 * * [simplify]: Extracting #10: cost 55 inf + 59792 465.849 * * [simplify]: Extracting #11: cost 26 inf + 83477 465.888 * * [simplify]: Extracting #12: cost 3 inf + 110172 465.933 * * [simplify]: Extracting #13: cost 1 inf + 114262 465.979 * * [simplify]: Extracting #14: cost 0 inf + 116327 466.023 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) 466.023 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 466.023 * * * * [progress]: [ 1519 / 5906 ] simplifiying candidate # 466.023 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 466.024 * * [simplify]: iters left: 6 (46 enodes) 466.037 * * [simplify]: iters left: 5 (216 enodes) 466.096 * * [simplify]: Extracting #0: cost 1 inf + 0 466.096 * * [simplify]: Extracting #1: cost 3 inf + 0 466.096 * * [simplify]: Extracting #2: cost 10 inf + 0 466.096 * * [simplify]: Extracting #3: cost 66 inf + 0 466.096 * * [simplify]: Extracting #4: cost 117 inf + 44 466.097 * * [simplify]: Extracting #5: cost 154 inf + 740 466.098 * * [simplify]: Extracting #6: cost 201 inf + 2654 466.099 * * [simplify]: Extracting #7: cost 173 inf + 6886 466.104 * * [simplify]: Extracting #8: cost 104 inf + 29771 466.114 * * [simplify]: Extracting #9: cost 43 inf + 58517 466.148 * * [simplify]: Extracting #10: cost 5 inf + 89987 466.185 * * [simplify]: Extracting #11: cost 0 inf + 95766 466.223 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) 466.223 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 466.226 * * * * [progress]: [ 1520 / 5906 ] simplifiying candidate # 466.227 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 466.227 * * [simplify]: iters left: 6 (51 enodes) 466.254 * * [simplify]: iters left: 5 (244 enodes) 466.355 * * [simplify]: Extracting #0: cost 1 inf + 0 466.355 * * [simplify]: Extracting #1: cost 3 inf + 0 466.355 * * [simplify]: Extracting #2: cost 10 inf + 0 466.356 * * [simplify]: Extracting #3: cost 74 inf + 0 466.356 * * [simplify]: Extracting #4: cost 137 inf + 1 466.357 * * [simplify]: Extracting #5: cost 188 inf + 207 466.359 * * [simplify]: Extracting #6: cost 228 inf + 2780 466.364 * * [simplify]: Extracting #7: cost 173 inf + 13377 466.373 * * [simplify]: Extracting #8: cost 139 inf + 26718 466.386 * * [simplify]: Extracting #9: cost 95 inf + 44217 466.406 * * [simplify]: Extracting #10: cost 55 inf + 60752 466.432 * * [simplify]: Extracting #11: cost 27 inf + 83532 466.464 * * [simplify]: Extracting #12: cost 3 inf + 111132 466.491 * * [simplify]: Extracting #13: cost 1 inf + 115222 466.519 * * [simplify]: Extracting #14: cost 0 inf + 117287 466.557 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) 466.557 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 466.558 * * * * [progress]: [ 1521 / 5906 ] simplifiying candidate # 466.558 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 466.559 * * [simplify]: iters left: 6 (46 enodes) 466.582 * * [simplify]: iters left: 5 (216 enodes) 466.667 * * [simplify]: Extracting #0: cost 1 inf + 0 466.668 * * [simplify]: Extracting #1: cost 3 inf + 0 466.668 * * [simplify]: Extracting #2: cost 10 inf + 0 466.668 * * [simplify]: Extracting #3: cost 65 inf + 0 466.668 * * [simplify]: Extracting #4: cost 117 inf + 44 466.669 * * [simplify]: Extracting #5: cost 152 inf + 944 466.672 * * [simplify]: Extracting #6: cost 198 inf + 3140 466.676 * * [simplify]: Extracting #7: cost 169 inf + 7413 466.687 * * [simplify]: Extracting #8: cost 96 inf + 34550 466.700 * * [simplify]: Extracting #9: cost 35 inf + 63891 466.717 * * [simplify]: Extracting #10: cost 4 inf + 92212 466.755 * * [simplify]: Extracting #11: cost 0 inf + 96166 466.794 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 466.794 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 466.795 * * * * [progress]: [ 1522 / 5906 ] simplifiying candidate # 466.796 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 466.796 * * [simplify]: iters left: 6 (50 enodes) 466.818 * * [simplify]: iters left: 5 (239 enodes) 466.877 * * [simplify]: Extracting #0: cost 1 inf + 0 466.877 * * [simplify]: Extracting #1: cost 3 inf + 0 466.877 * * [simplify]: Extracting #2: cost 6 inf + 0 466.877 * * [simplify]: Extracting #3: cost 57 inf + 0 466.877 * * [simplify]: Extracting #4: cost 128 inf + 0 466.878 * * [simplify]: Extracting #5: cost 195 inf + 0 466.878 * * [simplify]: Extracting #6: cost 257 inf + 2739 466.880 * * [simplify]: Extracting #7: cost 204 inf + 12127 466.885 * * [simplify]: Extracting #8: cost 139 inf + 26920 466.899 * * [simplify]: Extracting #9: cost 97 inf + 43328 466.918 * * [simplify]: Extracting #10: cost 61 inf + 56155 466.954 * * [simplify]: Extracting #11: cost 4 inf + 108540 466.999 * * [simplify]: Extracting #12: cost 0 inf + 114040 467.047 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (+ lambda1 lambda2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 467.047 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (+ lambda1 lambda2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 467.048 * * * * [progress]: [ 1523 / 5906 ] simplifiying candidate # 467.048 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 467.049 * * [simplify]: iters left: 6 (51 enodes) 467.075 * * [simplify]: iters left: 5 (248 enodes) 467.167 * * [simplify]: Extracting #0: cost 1 inf + 0 467.167 * * [simplify]: Extracting #1: cost 3 inf + 0 467.167 * * [simplify]: Extracting #2: cost 6 inf + 0 467.167 * * [simplify]: Extracting #3: cost 61 inf + 0 467.167 * * [simplify]: Extracting #4: cost 151 inf + 0 467.168 * * [simplify]: Extracting #5: cost 209 inf + 44 467.169 * * [simplify]: Extracting #6: cost 240 inf + 5004 467.171 * * [simplify]: Extracting #7: cost 200 inf + 12467 467.176 * * [simplify]: Extracting #8: cost 138 inf + 30005 467.188 * * [simplify]: Extracting #9: cost 98 inf + 47338 467.208 * * [simplify]: Extracting #10: cost 60 inf + 60677 467.237 * * [simplify]: Extracting #11: cost 25 inf + 88592 467.265 * * [simplify]: Extracting #12: cost 4 inf + 112317 467.290 * * [simplify]: Extracting #13: cost 0 inf + 116657 467.313 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 467.313 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 467.314 * * * * [progress]: [ 1524 / 5906 ] simplifiying candidate # 467.314 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 467.314 * * [simplify]: iters left: 6 (51 enodes) 467.329 * * [simplify]: iters left: 5 (248 enodes) 467.435 * * [simplify]: Extracting #0: cost 1 inf + 0 467.435 * * [simplify]: Extracting #1: cost 3 inf + 0 467.435 * * [simplify]: Extracting #2: cost 6 inf + 0 467.435 * * [simplify]: Extracting #3: cost 63 inf + 0 467.436 * * [simplify]: Extracting #4: cost 149 inf + 0 467.437 * * [simplify]: Extracting #5: cost 205 inf + 44 467.439 * * [simplify]: Extracting #6: cost 242 inf + 3712 467.445 * * [simplify]: Extracting #7: cost 192 inf + 13677 467.454 * * [simplify]: Extracting #8: cost 147 inf + 23779 467.465 * * [simplify]: Extracting #9: cost 116 inf + 34198 467.484 * * [simplify]: Extracting #10: cost 61 inf + 59844 467.517 * * [simplify]: Extracting #11: cost 17 inf + 95344 467.564 * * [simplify]: Extracting #12: cost 1 inf + 112304 467.597 * * [simplify]: Extracting #13: cost 0 inf + 114209 467.625 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2)))))) (* (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 467.626 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2)))))) (* (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 467.626 * * * * [progress]: [ 1525 / 5906 ] simplifiying candidate # 467.627 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 467.627 * * [simplify]: iters left: 6 (45 enodes) 467.651 * * [simplify]: iters left: 5 (212 enodes) 467.723 * * [simplify]: Extracting #0: cost 1 inf + 0 467.723 * * [simplify]: Extracting #1: cost 3 inf + 0 467.723 * * [simplify]: Extracting #2: cost 6 inf + 0 467.723 * * [simplify]: Extracting #3: cost 55 inf + 0 467.724 * * [simplify]: Extracting #4: cost 117 inf + 0 467.724 * * [simplify]: Extracting #5: cost 153 inf + 44 467.725 * * [simplify]: Extracting #6: cost 205 inf + 1117 467.726 * * [simplify]: Extracting #7: cost 171 inf + 7369 467.730 * * [simplify]: Extracting #8: cost 125 inf + 21773 467.739 * * [simplify]: Extracting #9: cost 83 inf + 38788 467.765 * * [simplify]: Extracting #10: cost 15 inf + 77377 467.799 * * [simplify]: Extracting #11: cost 0 inf + 90468 467.833 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) 467.833 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 467.834 * * * * [progress]: [ 1526 / 5906 ] simplifiying candidate # 467.834 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 467.835 * * [simplify]: iters left: 6 (50 enodes) 467.860 * * [simplify]: iters left: 5 (240 enodes) 467.921 * * [simplify]: Extracting #0: cost 1 inf + 0 467.921 * * [simplify]: Extracting #1: cost 3 inf + 0 467.921 * * [simplify]: Extracting #2: cost 10 inf + 0 467.921 * * [simplify]: Extracting #3: cost 75 inf + 0 467.921 * * [simplify]: Extracting #4: cost 142 inf + 1 467.922 * * [simplify]: Extracting #5: cost 181 inf + 249 467.923 * * [simplify]: Extracting #6: cost 226 inf + 3183 467.925 * * [simplify]: Extracting #7: cost 188 inf + 11973 467.931 * * [simplify]: Extracting #8: cost 119 inf + 32481 467.949 * * [simplify]: Extracting #9: cost 10 inf + 97105 467.985 * * [simplify]: Extracting #10: cost 1 inf + 105829 468.012 * * [simplify]: Extracting #11: cost 0 inf + 106574 468.040 * * [simplify]: Extracting #12: cost 0 inf + 106454 468.061 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 468.061 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 468.062 * * * * [progress]: [ 1527 / 5906 ] simplifiying candidate # 468.062 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 468.062 * * [simplify]: iters left: 6 (45 enodes) 468.079 * * [simplify]: iters left: 5 (212 enodes) 468.132 * * [simplify]: Extracting #0: cost 1 inf + 0 468.132 * * [simplify]: Extracting #1: cost 3 inf + 0 468.132 * * [simplify]: Extracting #2: cost 10 inf + 0 468.132 * * [simplify]: Extracting #3: cost 67 inf + 0 468.133 * * [simplify]: Extracting #4: cost 121 inf + 86 468.134 * * [simplify]: Extracting #5: cost 141 inf + 1714 468.136 * * [simplify]: Extracting #6: cost 199 inf + 2976 468.139 * * [simplify]: Extracting #7: cost 180 inf + 7325 468.147 * * [simplify]: Extracting #8: cost 94 inf + 34710 468.157 * * [simplify]: Extracting #9: cost 35 inf + 63364 468.175 * * [simplify]: Extracting #10: cost 2 inf + 87403 468.208 * * [simplify]: Extracting #11: cost 1 inf + 88948 468.235 * * [simplify]: Extracting #12: cost 0 inf + 90493 468.252 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 468.252 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 468.253 * * * * [progress]: [ 1528 / 5906 ] simplifiying candidate # 468.253 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 468.253 * * [simplify]: iters left: 6 (50 enodes) 468.271 * * [simplify]: iters left: 5 (240 enodes) 468.372 * * [simplify]: Extracting #0: cost 1 inf + 0 468.372 * * [simplify]: Extracting #1: cost 3 inf + 0 468.372 * * [simplify]: Extracting #2: cost 10 inf + 0 468.372 * * [simplify]: Extracting #3: cost 75 inf + 0 468.373 * * [simplify]: Extracting #4: cost 142 inf + 1 468.374 * * [simplify]: Extracting #5: cost 182 inf + 207 468.376 * * [simplify]: Extracting #6: cost 227 inf + 2981 468.381 * * [simplify]: Extracting #7: cost 188 inf + 12173 468.392 * * [simplify]: Extracting #8: cost 117 inf + 33549 468.415 * * [simplify]: Extracting #9: cost 11 inf + 97040 468.439 * * [simplify]: Extracting #10: cost 1 inf + 106789 468.474 * * [simplify]: Extracting #11: cost 0 inf + 107534 468.504 * * [simplify]: Extracting #12: cost 0 inf + 107414 468.529 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (+ lambda1 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 468.529 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (+ lambda1 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 468.530 * * * * [progress]: [ 1529 / 5906 ] simplifiying candidate # 468.531 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 468.531 * * [simplify]: iters left: 6 (45 enodes) 468.546 * * [simplify]: iters left: 5 (212 enodes) 468.604 * * [simplify]: Extracting #0: cost 1 inf + 0 468.604 * * [simplify]: Extracting #1: cost 3 inf + 0 468.604 * * [simplify]: Extracting #2: cost 10 inf + 0 468.604 * * [simplify]: Extracting #3: cost 66 inf + 0 468.604 * * [simplify]: Extracting #4: cost 122 inf + 44 468.605 * * [simplify]: Extracting #5: cost 146 inf + 985 468.606 * * [simplify]: Extracting #6: cost 199 inf + 2976 468.607 * * [simplify]: Extracting #7: cost 181 inf + 7001 468.612 * * [simplify]: Extracting #8: cost 102 inf + 31777 468.622 * * [simplify]: Extracting #9: cost 37 inf + 62836 468.645 * * [simplify]: Extracting #10: cost 2 inf + 87803 468.664 * * [simplify]: Extracting #11: cost 1 inf + 89348 468.690 * * [simplify]: Extracting #12: cost 0 inf + 90893 468.706 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 468.706 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 468.707 * * * * [progress]: [ 1530 / 5906 ] simplifiying candidate # 468.707 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 468.708 * * [simplify]: iters left: 6 (51 enodes) 468.728 * * [simplify]: iters left: 5 (243 enodes) 468.783 * * [simplify]: Extracting #0: cost 1 inf + 0 468.783 * * [simplify]: Extracting #1: cost 3 inf + 0 468.783 * * [simplify]: Extracting #2: cost 6 inf + 0 468.784 * * [simplify]: Extracting #3: cost 56 inf + 0 468.784 * * [simplify]: Extracting #4: cost 130 inf + 0 468.784 * * [simplify]: Extracting #5: cost 208 inf + 0 468.786 * * [simplify]: Extracting #6: cost 260 inf + 2196 468.791 * * [simplify]: Extracting #7: cost 198 inf + 13471 468.801 * * [simplify]: Extracting #8: cost 140 inf + 31620 468.808 * * [simplify]: Extracting #9: cost 91 inf + 49764 468.820 * * [simplify]: Extracting #10: cost 50 inf + 65678 468.847 * * [simplify]: Extracting #11: cost 4 inf + 114748 468.893 * * [simplify]: Extracting #12: cost 1 inf + 120023 468.922 * * [simplify]: Extracting #13: cost 0 inf + 122048 468.970 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 468.970 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 468.971 * * * * [progress]: [ 1531 / 5906 ] simplifiying candidate # 468.971 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 468.972 * * [simplify]: iters left: 6 (52 enodes) 468.998 * * [simplify]: iters left: 5 (252 enodes) 469.089 * * [simplify]: Extracting #0: cost 1 inf + 0 469.089 * * [simplify]: Extracting #1: cost 3 inf + 0 469.089 * * [simplify]: Extracting #2: cost 6 inf + 0 469.089 * * [simplify]: Extracting #3: cost 60 inf + 0 469.090 * * [simplify]: Extracting #4: cost 153 inf + 0 469.090 * * [simplify]: Extracting #5: cost 222 inf + 44 469.092 * * [simplify]: Extracting #6: cost 236 inf + 6148 469.095 * * [simplify]: Extracting #7: cost 175 inf + 18929 469.101 * * [simplify]: Extracting #8: cost 142 inf + 30856 469.115 * * [simplify]: Extracting #9: cost 86 inf + 55804 469.127 * * [simplify]: Extracting #10: cost 50 inf + 70215 469.159 * * [simplify]: Extracting #11: cost 7 inf + 117890 469.191 * * [simplify]: Extracting #12: cost 1 inf + 125400 469.224 * * [simplify]: Extracting #13: cost 0 inf + 127625 469.252 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* phi1 phi1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi2 phi2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 469.252 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* phi1 phi1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi2 phi2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 469.253 * * * * [progress]: [ 1532 / 5906 ] simplifiying candidate # 469.253 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 469.254 * * [simplify]: iters left: 6 (52 enodes) 469.283 * * [simplify]: iters left: 5 (252 enodes) 469.343 * * [simplify]: Extracting #0: cost 1 inf + 0 469.343 * * [simplify]: Extracting #1: cost 3 inf + 0 469.343 * * [simplify]: Extracting #2: cost 6 inf + 0 469.343 * * [simplify]: Extracting #3: cost 62 inf + 0 469.343 * * [simplify]: Extracting #4: cost 151 inf + 0 469.344 * * [simplify]: Extracting #5: cost 218 inf + 44 469.345 * * [simplify]: Extracting #6: cost 255 inf + 2862 469.348 * * [simplify]: Extracting #7: cost 197 inf + 12069 469.352 * * [simplify]: Extracting #8: cost 130 inf + 31002 469.365 * * [simplify]: Extracting #9: cost 60 inf + 61127 469.395 * * [simplify]: Extracting #10: cost 9 inf + 112352 469.439 * * [simplify]: Extracting #11: cost 1 inf + 122552 469.464 * * [simplify]: Extracting #12: cost 0 inf + 124737 469.511 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 469.511 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 469.512 * * * * [progress]: [ 1533 / 5906 ] simplifiying candidate # 469.513 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 469.513 * * [simplify]: iters left: 6 (46 enodes) 469.537 * * [simplify]: iters left: 5 (216 enodes) 469.615 * * [simplify]: Extracting #0: cost 1 inf + 0 469.615 * * [simplify]: Extracting #1: cost 3 inf + 0 469.615 * * [simplify]: Extracting #2: cost 6 inf + 0 469.615 * * [simplify]: Extracting #3: cost 54 inf + 0 469.616 * * [simplify]: Extracting #4: cost 119 inf + 0 469.616 * * [simplify]: Extracting #5: cost 165 inf + 85 469.617 * * [simplify]: Extracting #6: cost 204 inf + 2414 469.619 * * [simplify]: Extracting #7: cost 164 inf + 9510 469.624 * * [simplify]: Extracting #8: cost 100 inf + 33302 469.636 * * [simplify]: Extracting #9: cost 51 inf + 54374 469.659 * * [simplify]: Extracting #10: cost 11 inf + 87214 469.679 * * [simplify]: Extracting #11: cost 1 inf + 98611 469.708 * * [simplify]: Extracting #12: cost 0 inf + 100516 469.735 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 469.735 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 469.736 * * * * [progress]: [ 1534 / 5906 ] simplifiying candidate # 469.737 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 469.737 * * [simplify]: iters left: 6 (51 enodes) 469.760 * * [simplify]: iters left: 5 (244 enodes) 469.814 * * [simplify]: Extracting #0: cost 1 inf + 0 469.814 * * [simplify]: Extracting #1: cost 3 inf + 0 469.814 * * [simplify]: Extracting #2: cost 10 inf + 0 469.814 * * [simplify]: Extracting #3: cost 74 inf + 0 469.814 * * [simplify]: Extracting #4: cost 137 inf + 1 469.815 * * [simplify]: Extracting #5: cost 187 inf + 249 469.816 * * [simplify]: Extracting #6: cost 229 inf + 2578 469.821 * * [simplify]: Extracting #7: cost 177 inf + 12449 469.830 * * [simplify]: Extracting #8: cost 136 inf + 28387 469.843 * * [simplify]: Extracting #9: cost 95 inf + 43337 469.866 * * [simplify]: Extracting #10: cost 55 inf + 60032 469.886 * * [simplify]: Extracting #11: cost 28 inf + 82387 469.908 * * [simplify]: Extracting #12: cost 3 inf + 112732 469.934 * * [simplify]: Extracting #13: cost 1 inf + 116902 469.975 * * [simplify]: Extracting #14: cost 0 inf + 119007 470.001 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) 470.001 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 470.002 * * * * [progress]: [ 1535 / 5906 ] simplifiying candidate # 470.002 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 470.003 * * [simplify]: iters left: 6 (46 enodes) 470.026 * * [simplify]: iters left: 5 (216 enodes) 470.082 * * [simplify]: Extracting #0: cost 1 inf + 0 470.082 * * [simplify]: Extracting #1: cost 3 inf + 0 470.082 * * [simplify]: Extracting #2: cost 10 inf + 0 470.082 * * [simplify]: Extracting #3: cost 66 inf + 0 470.082 * * [simplify]: Extracting #4: cost 117 inf + 44 470.083 * * [simplify]: Extracting #5: cost 154 inf + 740 470.084 * * [simplify]: Extracting #6: cost 201 inf + 2654 470.087 * * [simplify]: Extracting #7: cost 173 inf + 6886 470.096 * * [simplify]: Extracting #8: cost 103 inf + 30316 470.116 * * [simplify]: Extracting #9: cost 43 inf + 58837 470.132 * * [simplify]: Extracting #10: cost 5 inf + 91667 470.154 * * [simplify]: Extracting #11: cost 0 inf + 97126 470.173 * * [simplify]: Extracting #12: cost 0 inf + 97046 470.192 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) 470.192 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 470.193 * * * * [progress]: [ 1536 / 5906 ] simplifiying candidate # 470.193 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 470.193 * * [simplify]: iters left: 6 (51 enodes) 470.210 * * [simplify]: iters left: 5 (244 enodes) 470.291 * * [simplify]: Extracting #0: cost 1 inf + 0 470.291 * * [simplify]: Extracting #1: cost 3 inf + 0 470.291 * * [simplify]: Extracting #2: cost 10 inf + 0 470.291 * * [simplify]: Extracting #3: cost 74 inf + 0 470.291 * * [simplify]: Extracting #4: cost 137 inf + 1 470.292 * * [simplify]: Extracting #5: cost 188 inf + 207 470.293 * * [simplify]: Extracting #6: cost 226 inf + 3104 470.295 * * [simplify]: Extracting #7: cost 173 inf + 13457 470.300 * * [simplify]: Extracting #8: cost 137 inf + 27905 470.309 * * [simplify]: Extracting #9: cost 95 inf + 44217 470.332 * * [simplify]: Extracting #10: cost 55 inf + 60992 470.358 * * [simplify]: Extracting #11: cost 27 inf + 84292 470.386 * * [simplify]: Extracting #12: cost 3 inf + 113692 470.419 * * [simplify]: Extracting #13: cost 1 inf + 117862 470.465 * * [simplify]: Extracting #14: cost 0 inf + 119967 470.500 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) 470.500 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 470.500 * * * * [progress]: [ 1537 / 5906 ] simplifiying candidate # 470.501 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 470.501 * * [simplify]: iters left: 6 (46 enodes) 470.513 * * [simplify]: iters left: 5 (216 enodes) 470.568 * * [simplify]: Extracting #0: cost 1 inf + 0 470.568 * * [simplify]: Extracting #1: cost 3 inf + 0 470.568 * * [simplify]: Extracting #2: cost 10 inf + 0 470.569 * * [simplify]: Extracting #3: cost 65 inf + 0 470.569 * * [simplify]: Extracting #4: cost 117 inf + 44 470.570 * * [simplify]: Extracting #5: cost 152 inf + 944 470.572 * * [simplify]: Extracting #6: cost 198 inf + 3140 470.575 * * [simplify]: Extracting #7: cost 169 inf + 7413 470.586 * * [simplify]: Extracting #8: cost 96 inf + 34550 470.598 * * [simplify]: Extracting #9: cost 35 inf + 64091 470.623 * * [simplify]: Extracting #10: cost 4 inf + 92492 470.642 * * [simplify]: Extracting #11: cost 0 inf + 96486 470.671 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 470.671 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 470.672 * * * * [progress]: [ 1538 / 5906 ] simplifiying candidate # 470.672 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 470.673 * * [simplify]: iters left: 6 (48 enodes) 470.695 * * [simplify]: iters left: 5 (230 enodes) 470.790 * * [simplify]: Extracting #0: cost 1 inf + 0 470.790 * * [simplify]: Extracting #1: cost 3 inf + 0 470.790 * * [simplify]: Extracting #2: cost 6 inf + 0 470.791 * * [simplify]: Extracting #3: cost 54 inf + 0 470.791 * * [simplify]: Extracting #4: cost 120 inf + 0 470.792 * * [simplify]: Extracting #5: cost 189 inf + 0 470.793 * * [simplify]: Extracting #6: cost 253 inf + 89 470.796 * * [simplify]: Extracting #7: cost 208 inf + 6394 470.804 * * [simplify]: Extracting #8: cost 129 inf + 26402 470.818 * * [simplify]: Extracting #9: cost 84 inf + 42493 470.839 * * [simplify]: Extracting #10: cost 40 inf + 62898 470.875 * * [simplify]: Extracting #11: cost 4 inf + 101838 470.906 * * [simplify]: Extracting #12: cost 0 inf + 107058 470.930 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) 470.930 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 470.931 * * * * [progress]: [ 1539 / 5906 ] simplifiying candidate # 470.932 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 470.932 * * [simplify]: iters left: 6 (49 enodes) 470.958 * * [simplify]: iters left: 5 (239 enodes) 471.058 * * [simplify]: Extracting #0: cost 1 inf + 0 471.059 * * [simplify]: Extracting #1: cost 3 inf + 0 471.059 * * [simplify]: Extracting #2: cost 6 inf + 0 471.059 * * [simplify]: Extracting #3: cost 58 inf + 0 471.059 * * [simplify]: Extracting #4: cost 143 inf + 0 471.060 * * [simplify]: Extracting #5: cost 200 inf + 249 471.062 * * [simplify]: Extracting #6: cost 224 inf + 5329 471.065 * * [simplify]: Extracting #7: cost 182 inf + 15514 471.070 * * [simplify]: Extracting #8: cost 130 inf + 28082 471.078 * * [simplify]: Extracting #9: cost 87 inf + 45575 471.089 * * [simplify]: Extracting #10: cost 39 inf + 68180 471.126 * * [simplify]: Extracting #11: cost 2 inf + 106625 471.166 * * [simplify]: Extracting #12: cost 0 inf + 109675 471.194 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 471.194 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 471.195 * * * * [progress]: [ 1540 / 5906 ] simplifiying candidate # 471.195 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 471.195 * * [simplify]: iters left: 6 (49 enodes) 471.214 * * [simplify]: iters left: 5 (239 enodes) 471.303 * * [simplify]: Extracting #0: cost 1 inf + 0 471.303 * * [simplify]: Extracting #1: cost 3 inf + 0 471.303 * * [simplify]: Extracting #2: cost 6 inf + 0 471.303 * * [simplify]: Extracting #3: cost 60 inf + 0 471.303 * * [simplify]: Extracting #4: cost 141 inf + 0 471.304 * * [simplify]: Extracting #5: cost 196 inf + 208 471.305 * * [simplify]: Extracting #6: cost 218 inf + 6011 471.308 * * [simplify]: Extracting #7: cost 184 inf + 14501 471.312 * * [simplify]: Extracting #8: cost 126 inf + 29054 471.323 * * [simplify]: Extracting #9: cost 79 inf + 48847 471.339 * * [simplify]: Extracting #10: cost 36 inf + 69567 471.362 * * [simplify]: Extracting #11: cost 2 inf + 102857 471.392 * * [simplify]: Extracting #12: cost 0 inf + 105827 471.428 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 471.428 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 471.429 * * * * [progress]: [ 1541 / 5906 ] simplifiying candidate # 471.429 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 471.430 * * [simplify]: iters left: 6 (43 enodes) 471.452 * * [simplify]: iters left: 5 (203 enodes) 471.501 * * [simplify]: Extracting #0: cost 1 inf + 0 471.501 * * [simplify]: Extracting #1: cost 3 inf + 0 471.501 * * [simplify]: Extracting #2: cost 6 inf + 0 471.502 * * [simplify]: Extracting #3: cost 52 inf + 0 471.502 * * [simplify]: Extracting #4: cost 109 inf + 0 471.502 * * [simplify]: Extracting #5: cost 143 inf + 250 471.503 * * [simplify]: Extracting #6: cost 186 inf + 2047 471.504 * * [simplify]: Extracting #7: cost 161 inf + 7250 471.509 * * [simplify]: Extracting #8: cost 92 inf + 28975 471.520 * * [simplify]: Extracting #9: cost 33 inf + 55389 471.549 * * [simplify]: Extracting #10: cost 3 inf + 78011 471.580 * * [simplify]: Extracting #11: cost 0 inf + 82566 471.613 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))))) 471.614 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 471.614 * * * * [progress]: [ 1542 / 5906 ] simplifiying candidate # 471.615 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 471.615 * * [simplify]: iters left: 6 (48 enodes) 471.640 * * [simplify]: iters left: 5 (231 enodes) 471.725 * * [simplify]: Extracting #0: cost 1 inf + 0 471.725 * * [simplify]: Extracting #1: cost 3 inf + 0 471.725 * * [simplify]: Extracting #2: cost 10 inf + 0 471.726 * * [simplify]: Extracting #3: cost 72 inf + 0 471.726 * * [simplify]: Extracting #4: cost 127 inf + 1 471.726 * * [simplify]: Extracting #5: cost 171 inf + 85 471.727 * * [simplify]: Extracting #6: cost 215 inf + 1924 471.729 * * [simplify]: Extracting #7: cost 184 inf + 8463 471.733 * * [simplify]: Extracting #8: cost 110 inf + 30619 471.744 * * [simplify]: Extracting #9: cost 30 inf + 68909 471.778 * * [simplify]: Extracting #10: cost 2 inf + 94967 471.816 * * [simplify]: Extracting #11: cost 0 inf + 97417 471.849 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 471.849 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 471.850 * * * * [progress]: [ 1543 / 5906 ] simplifiying candidate # 471.850 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 471.850 * * [simplify]: iters left: 6 (43 enodes) 471.861 * * [simplify]: iters left: 5 (203 enodes) 471.905 * * [simplify]: Extracting #0: cost 1 inf + 0 471.905 * * [simplify]: Extracting #1: cost 3 inf + 0 471.905 * * [simplify]: Extracting #2: cost 10 inf + 0 471.905 * * [simplify]: Extracting #3: cost 64 inf + 0 471.906 * * [simplify]: Extracting #4: cost 106 inf + 86 471.906 * * [simplify]: Extracting #5: cost 132 inf + 1107 471.907 * * [simplify]: Extracting #6: cost 179 inf + 2976 471.909 * * [simplify]: Extracting #7: cost 160 inf + 7529 471.913 * * [simplify]: Extracting #8: cost 99 inf + 24675 471.925 * * [simplify]: Extracting #9: cost 23 inf + 66616 471.945 * * [simplify]: Extracting #10: cost 1 inf + 81324 471.974 * * [simplify]: Extracting #11: cost 0 inf + 81296 472.001 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) 472.001 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 472.002 * * * * [progress]: [ 1544 / 5906 ] simplifiying candidate # 472.002 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 472.002 * * [simplify]: iters left: 6 (48 enodes) 472.017 * * [simplify]: iters left: 5 (231 enodes) 472.071 * * [simplify]: Extracting #0: cost 1 inf + 0 472.071 * * [simplify]: Extracting #1: cost 3 inf + 0 472.071 * * [simplify]: Extracting #2: cost 10 inf + 0 472.071 * * [simplify]: Extracting #3: cost 72 inf + 0 472.072 * * [simplify]: Extracting #4: cost 127 inf + 1 472.073 * * [simplify]: Extracting #5: cost 169 inf + 168 472.074 * * [simplify]: Extracting #6: cost 213 inf + 2247 472.078 * * [simplify]: Extracting #7: cost 182 inf + 8666 472.086 * * [simplify]: Extracting #8: cost 111 inf + 29922 472.112 * * [simplify]: Extracting #9: cost 30 inf + 69709 472.130 * * [simplify]: Extracting #10: cost 2 inf + 95847 472.153 * * [simplify]: Extracting #11: cost 0 inf + 98297 472.178 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 472.178 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 472.179 * * * * [progress]: [ 1545 / 5906 ] simplifiying candidate # 472.179 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 472.179 * * [simplify]: iters left: 6 (43 enodes) 472.190 * * [simplify]: iters left: 5 (203 enodes) 472.245 * * [simplify]: Extracting #0: cost 1 inf + 0 472.245 * * [simplify]: Extracting #1: cost 3 inf + 0 472.245 * * [simplify]: Extracting #2: cost 10 inf + 0 472.245 * * [simplify]: Extracting #3: cost 63 inf + 0 472.246 * * [simplify]: Extracting #4: cost 107 inf + 44 472.246 * * [simplify]: Extracting #5: cost 135 inf + 821 472.248 * * [simplify]: Extracting #6: cost 180 inf + 2814 472.251 * * [simplify]: Extracting #7: cost 163 inf + 6560 472.259 * * [simplify]: Extracting #8: cost 101 inf + 23344 472.279 * * [simplify]: Extracting #9: cost 29 inf + 60157 472.307 * * [simplify]: Extracting #10: cost 6 inf + 76094 472.333 * * [simplify]: Extracting #11: cost 0 inf + 81696 472.352 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) 472.353 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 472.353 * * * * [progress]: [ 1546 / 5906 ] simplifiying candidate # 472.353 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 472.354 * * [simplify]: iters left: 6 (47 enodes) 472.372 * * [simplify]: iters left: 5 (233 enodes) 472.461 * * [simplify]: Extracting #0: cost 1 inf + 0 472.461 * * [simplify]: Extracting #1: cost 3 inf + 0 472.461 * * [simplify]: Extracting #2: cost 6 inf + 0 472.461 * * [simplify]: Extracting #3: cost 54 inf + 0 472.462 * * [simplify]: Extracting #4: cost 120 inf + 0 472.462 * * [simplify]: Extracting #5: cost 189 inf + 0 472.463 * * [simplify]: Extracting #6: cost 268 inf + 169 472.464 * * [simplify]: Extracting #7: cost 223 inf + 7588 472.471 * * [simplify]: Extracting #8: cost 149 inf + 23453 472.478 * * [simplify]: Extracting #9: cost 87 inf + 43783 472.489 * * [simplify]: Extracting #10: cost 51 inf + 60639 472.507 * * [simplify]: Extracting #11: cost 33 inf + 72729 472.526 * * [simplify]: Extracting #12: cost 5 inf + 99949 472.564 * * [simplify]: Extracting #13: cost 0 inf + 106514 472.608 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 472.608 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 472.610 * * * * [progress]: [ 1547 / 5906 ] simplifiying candidate # 472.610 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 472.611 * * [simplify]: iters left: 6 (48 enodes) 472.639 * * [simplify]: iters left: 5 (242 enodes) 472.734 * * [simplify]: Extracting #0: cost 1 inf + 0 472.735 * * [simplify]: Extracting #1: cost 3 inf + 0 472.735 * * [simplify]: Extracting #2: cost 6 inf + 0 472.735 * * [simplify]: Extracting #3: cost 58 inf + 0 472.735 * * [simplify]: Extracting #4: cost 143 inf + 0 472.736 * * [simplify]: Extracting #5: cost 198 inf + 371 472.739 * * [simplify]: Extracting #6: cost 231 inf + 7264 472.744 * * [simplify]: Extracting #7: cost 204 inf + 13628 472.755 * * [simplify]: Extracting #8: cost 128 inf + 30608 472.772 * * [simplify]: Extracting #9: cost 58 inf + 58910 472.789 * * [simplify]: Extracting #10: cost 33 inf + 75426 472.808 * * [simplify]: Extracting #11: cost 6 inf + 101061 472.831 * * [simplify]: Extracting #12: cost 0 inf + 108491 472.854 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) 472.854 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 472.854 * * * * [progress]: [ 1548 / 5906 ] simplifiying candidate # 472.855 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 472.855 * * [simplify]: iters left: 6 (48 enodes) 472.869 * * [simplify]: iters left: 5 (242 enodes) 472.947 * * [simplify]: Extracting #0: cost 1 inf + 0 472.947 * * [simplify]: Extracting #1: cost 3 inf + 0 472.947 * * [simplify]: Extracting #2: cost 6 inf + 0 472.947 * * [simplify]: Extracting #3: cost 60 inf + 0 472.948 * * [simplify]: Extracting #4: cost 141 inf + 0 472.948 * * [simplify]: Extracting #5: cost 197 inf + 127 472.949 * * [simplify]: Extracting #6: cost 253 inf + 2658 472.951 * * [simplify]: Extracting #7: cost 223 inf + 8971 472.958 * * [simplify]: Extracting #8: cost 152 inf + 24435 472.967 * * [simplify]: Extracting #9: cost 83 inf + 51180 472.981 * * [simplify]: Extracting #10: cost 36 inf + 73743 473.012 * * [simplify]: Extracting #11: cost 8 inf + 98323 473.055 * * [simplify]: Extracting #12: cost 0 inf + 107443 473.101 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))) 473.101 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 473.102 * * * * [progress]: [ 1549 / 5906 ] simplifiying candidate # 473.102 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 473.103 * * [simplify]: iters left: 6 (42 enodes) 473.128 * * [simplify]: iters left: 5 (206 enodes) 473.183 * * [simplify]: Extracting #0: cost 1 inf + 0 473.183 * * [simplify]: Extracting #1: cost 3 inf + 0 473.183 * * [simplify]: Extracting #2: cost 6 inf + 0 473.183 * * [simplify]: Extracting #3: cost 52 inf + 0 473.183 * * [simplify]: Extracting #4: cost 109 inf + 0 473.183 * * [simplify]: Extracting #5: cost 147 inf + 44 473.184 * * [simplify]: Extracting #6: cost 212 inf + 949 473.186 * * [simplify]: Extracting #7: cost 193 inf + 4443 473.195 * * [simplify]: Extracting #8: cost 114 inf + 26871 473.224 * * [simplify]: Extracting #9: cost 40 inf + 68094 473.262 * * [simplify]: Extracting #10: cost 9 inf + 79668 473.281 * * [simplify]: Extracting #11: cost 0 inf + 85782 473.311 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))))))) 473.311 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 473.312 * * * * [progress]: [ 1550 / 5906 ] simplifiying candidate # 473.312 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 473.313 * * [simplify]: iters left: 6 (47 enodes) 473.337 * * [simplify]: iters left: 5 (234 enodes) 473.424 * * [simplify]: Extracting #0: cost 1 inf + 0 473.424 * * [simplify]: Extracting #1: cost 3 inf + 0 473.424 * * [simplify]: Extracting #2: cost 10 inf + 0 473.424 * * [simplify]: Extracting #3: cost 72 inf + 0 473.424 * * [simplify]: Extracting #4: cost 127 inf + 1 473.425 * * [simplify]: Extracting #5: cost 170 inf + 126 473.426 * * [simplify]: Extracting #6: cost 234 inf + 2117 473.427 * * [simplify]: Extracting #7: cost 218 inf + 5966 473.431 * * [simplify]: Extracting #8: cost 144 inf + 21483 473.441 * * [simplify]: Extracting #9: cost 72 inf + 48121 473.466 * * [simplify]: Extracting #10: cost 8 inf + 93821 473.490 * * [simplify]: Extracting #11: cost 0 inf + 101193 473.535 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 473.535 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 473.536 * * * * [progress]: [ 1551 / 5906 ] simplifiying candidate # 473.537 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 473.537 * * [simplify]: iters left: 6 (42 enodes) 473.550 * * [simplify]: iters left: 5 (206 enodes) 473.612 * * [simplify]: Extracting #0: cost 1 inf + 0 473.612 * * [simplify]: Extracting #1: cost 3 inf + 0 473.612 * * [simplify]: Extracting #2: cost 10 inf + 0 473.612 * * [simplify]: Extracting #3: cost 64 inf + 0 473.612 * * [simplify]: Extracting #4: cost 106 inf + 86 473.614 * * [simplify]: Extracting #5: cost 129 inf + 1472 473.617 * * [simplify]: Extracting #6: cost 197 inf + 2932 473.619 * * [simplify]: Extracting #7: cost 194 inf + 4477 473.625 * * [simplify]: Extracting #8: cost 142 inf + 14103 473.637 * * [simplify]: Extracting #9: cost 82 inf + 38564 473.669 * * [simplify]: Extracting #10: cost 12 inf + 72793 473.698 * * [simplify]: Extracting #11: cost 2 inf + 80422 473.715 * * [simplify]: Extracting #12: cost 0 inf + 83112 473.740 * * [simplify]: Extracting #13: cost 0 inf + 83032 473.759 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 473.759 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 473.760 * * * * [progress]: [ 1552 / 5906 ] simplifiying candidate # 473.761 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 473.761 * * [simplify]: iters left: 6 (47 enodes) 473.788 * * [simplify]: iters left: 5 (234 enodes) 473.856 * * [simplify]: Extracting #0: cost 1 inf + 0 473.856 * * [simplify]: Extracting #1: cost 3 inf + 0 473.856 * * [simplify]: Extracting #2: cost 10 inf + 0 473.856 * * [simplify]: Extracting #3: cost 72 inf + 0 473.857 * * [simplify]: Extracting #4: cost 127 inf + 1 473.858 * * [simplify]: Extracting #5: cost 169 inf + 168 473.859 * * [simplify]: Extracting #6: cost 234 inf + 2199 473.862 * * [simplify]: Extracting #7: cost 223 inf + 4916 473.868 * * [simplify]: Extracting #8: cost 146 inf + 21140 473.883 * * [simplify]: Extracting #9: cost 73 inf + 46593 473.917 * * [simplify]: Extracting #10: cost 13 inf + 90056 473.939 * * [simplify]: Extracting #11: cost 0 inf + 101993 473.961 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 473.961 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 473.962 * * * * [progress]: [ 1553 / 5906 ] simplifiying candidate # 473.962 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 473.963 * * [simplify]: iters left: 6 (42 enodes) 473.973 * * [simplify]: iters left: 5 (206 enodes) 474.034 * * [simplify]: Extracting #0: cost 1 inf + 0 474.034 * * [simplify]: Extracting #1: cost 3 inf + 0 474.034 * * [simplify]: Extracting #2: cost 10 inf + 0 474.034 * * [simplify]: Extracting #3: cost 63 inf + 0 474.035 * * [simplify]: Extracting #4: cost 106 inf + 86 474.036 * * [simplify]: Extracting #5: cost 130 inf + 1310 474.038 * * [simplify]: Extracting #6: cost 197 inf + 2932 474.040 * * [simplify]: Extracting #7: cost 193 inf + 4639 474.046 * * [simplify]: Extracting #8: cost 141 inf + 14144 474.053 * * [simplify]: Extracting #9: cost 82 inf + 38661 474.068 * * [simplify]: Extracting #10: cost 13 inf + 72288 474.094 * * [simplify]: Extracting #11: cost 0 inf + 83952 474.112 * * [simplify]: Extracting #12: cost 0 inf + 83432 474.138 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 474.138 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 474.138 * * * * [progress]: [ 1554 / 5906 ] simplifiying candidate # 474.139 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 474.139 * * [simplify]: iters left: 6 (51 enodes) 474.154 * * [simplify]: iters left: 5 (256 enodes) 474.224 * * [simplify]: Extracting #0: cost 1 inf + 0 474.225 * * [simplify]: Extracting #1: cost 3 inf + 0 474.225 * * [simplify]: Extracting #2: cost 6 inf + 0 474.225 * * [simplify]: Extracting #3: cost 56 inf + 0 474.225 * * [simplify]: Extracting #4: cost 130 inf + 0 474.226 * * [simplify]: Extracting #5: cost 213 inf + 0 474.228 * * [simplify]: Extracting #6: cost 310 inf + 551 474.236 * * [simplify]: Extracting #7: cost 244 inf + 13031 474.246 * * [simplify]: Extracting #8: cost 160 inf + 28196 474.258 * * [simplify]: Extracting #9: cost 99 inf + 52780 474.273 * * [simplify]: Extracting #10: cost 47 inf + 78309 474.304 * * [simplify]: Extracting #11: cost 12 inf + 113222 474.341 * * [simplify]: Extracting #12: cost 1 inf + 127537 474.381 * * [simplify]: Extracting #13: cost 0 inf + 129602 474.431 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 474.432 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 474.433 * * * * [progress]: [ 1555 / 5906 ] simplifiying candidate # 474.433 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 474.434 * * [simplify]: iters left: 6 (52 enodes) 474.449 * * [simplify]: iters left: 5 (265 enodes) 474.537 * * [simplify]: Extracting #0: cost 1 inf + 0 474.537 * * [simplify]: Extracting #1: cost 3 inf + 0 474.537 * * [simplify]: Extracting #2: cost 6 inf + 0 474.537 * * [simplify]: Extracting #3: cost 60 inf + 0 474.537 * * [simplify]: Extracting #4: cost 153 inf + 0 474.538 * * [simplify]: Extracting #5: cost 227 inf + 43 474.539 * * [simplify]: Extracting #6: cost 291 inf + 4713 474.543 * * [simplify]: Extracting #7: cost 248 inf + 12855 474.548 * * [simplify]: Extracting #8: cost 169 inf + 27748 474.562 * * [simplify]: Extracting #9: cost 103 inf + 55695 474.590 * * [simplify]: Extracting #10: cost 51 inf + 79344 474.629 * * [simplify]: Extracting #11: cost 30 inf + 97389 474.654 * * [simplify]: Extracting #12: cost 5 inf + 126774 474.706 * * [simplify]: Extracting #13: cost 0 inf + 132659 474.740 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) 474.741 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 474.741 * * * * [progress]: [ 1556 / 5906 ] simplifiying candidate # 474.742 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 474.742 * * [simplify]: iters left: 6 (52 enodes) 474.764 * * [simplify]: iters left: 5 (265 enodes) 474.862 * * [simplify]: Extracting #0: cost 1 inf + 0 474.862 * * [simplify]: Extracting #1: cost 3 inf + 0 474.862 * * [simplify]: Extracting #2: cost 6 inf + 0 474.862 * * [simplify]: Extracting #3: cost 62 inf + 0 474.863 * * [simplify]: Extracting #4: cost 151 inf + 0 474.864 * * [simplify]: Extracting #5: cost 221 inf + 127 474.866 * * [simplify]: Extracting #6: cost 288 inf + 3551 474.871 * * [simplify]: Extracting #7: cost 261 inf + 9660 474.878 * * [simplify]: Extracting #8: cost 193 inf + 20836 474.889 * * [simplify]: Extracting #9: cost 115 inf + 43375 474.903 * * [simplify]: Extracting #10: cost 59 inf + 72286 474.925 * * [simplify]: Extracting #11: cost 30 inf + 95781 474.973 * * [simplify]: Extracting #12: cost 5 inf + 123926 475.012 * * [simplify]: Extracting #13: cost 0 inf + 129251 475.040 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) 475.040 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 475.041 * * * * [progress]: [ 1557 / 5906 ] simplifiying candidate # 475.041 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 475.041 * * [simplify]: iters left: 6 (46 enodes) 475.054 * * [simplify]: iters left: 5 (229 enodes) 475.103 * * [simplify]: Extracting #0: cost 1 inf + 0 475.103 * * [simplify]: Extracting #1: cost 3 inf + 0 475.103 * * [simplify]: Extracting #2: cost 6 inf + 0 475.103 * * [simplify]: Extracting #3: cost 54 inf + 0 475.103 * * [simplify]: Extracting #4: cost 119 inf + 0 475.103 * * [simplify]: Extracting #5: cost 169 inf + 167 475.109 * * [simplify]: Extracting #6: cost 246 inf + 2286 475.111 * * [simplify]: Extracting #7: cost 237 inf + 4561 475.115 * * [simplify]: Extracting #8: cost 139 inf + 25355 475.124 * * [simplify]: Extracting #9: cost 60 inf + 58645 475.144 * * [simplify]: Extracting #10: cost 10 inf + 98168 475.188 * * [simplify]: Extracting #11: cost 0 inf + 106350 475.230 * * [simplify]: Extracting #12: cost 0 inf + 106230 475.253 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (- (* phi1 phi1) (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 475.253 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (- (* phi1 phi1) (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 475.253 * * * * [progress]: [ 1558 / 5906 ] simplifiying candidate # 475.254 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 475.254 * * [simplify]: iters left: 6 (51 enodes) 475.267 * * [simplify]: iters left: 5 (257 enodes) 475.332 * * [simplify]: Extracting #0: cost 1 inf + 0 475.333 * * [simplify]: Extracting #1: cost 3 inf + 0 475.333 * * [simplify]: Extracting #2: cost 10 inf + 0 475.333 * * [simplify]: Extracting #3: cost 74 inf + 0 475.333 * * [simplify]: Extracting #4: cost 136 inf + 42 475.334 * * [simplify]: Extracting #5: cost 192 inf + 249 475.335 * * [simplify]: Extracting #6: cost 276 inf + 1801 475.336 * * [simplify]: Extracting #7: cost 253 inf + 7604 475.340 * * [simplify]: Extracting #8: cost 170 inf + 23317 475.349 * * [simplify]: Extracting #9: cost 97 inf + 51216 475.378 * * [simplify]: Extracting #10: cost 38 inf + 82171 475.420 * * [simplify]: Extracting #11: cost 5 inf + 113076 475.466 * * [simplify]: Extracting #12: cost 1 inf + 120016 475.501 * * [simplify]: Extracting #13: cost 0 inf + 122041 475.529 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 475.529 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 475.530 * * * * [progress]: [ 1559 / 5906 ] simplifiying candidate # 475.530 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 475.531 * * [simplify]: iters left: 6 (46 enodes) 475.552 * * [simplify]: iters left: 5 (229 enodes) 475.622 * * [simplify]: Extracting #0: cost 1 inf + 0 475.622 * * [simplify]: Extracting #1: cost 3 inf + 0 475.622 * * [simplify]: Extracting #2: cost 10 inf + 0 475.622 * * [simplify]: Extracting #3: cost 66 inf + 0 475.623 * * [simplify]: Extracting #4: cost 117 inf + 44 475.624 * * [simplify]: Extracting #5: cost 161 inf + 496 475.626 * * [simplify]: Extracting #6: cost 240 inf + 2932 475.628 * * [simplify]: Extracting #7: cost 238 inf + 4315 475.635 * * [simplify]: Extracting #8: cost 148 inf + 22652 475.654 * * [simplify]: Extracting #9: cost 59 inf + 57731 475.678 * * [simplify]: Extracting #10: cost 16 inf + 88055 475.701 * * [simplify]: Extracting #11: cost 0 inf + 102920 475.742 * * [simplify]: Extracting #12: cost 0 inf + 102760 475.787 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (- phi1 phi2)))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 475.788 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (- phi1 phi2)))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 475.789 * * * * [progress]: [ 1560 / 5906 ] simplifiying candidate # 475.789 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 475.790 * * [simplify]: iters left: 6 (51 enodes) 475.815 * * [simplify]: iters left: 5 (257 enodes) 475.891 * * [simplify]: Extracting #0: cost 1 inf + 0 475.892 * * [simplify]: Extracting #1: cost 3 inf + 0 475.892 * * [simplify]: Extracting #2: cost 10 inf + 0 475.892 * * [simplify]: Extracting #3: cost 74 inf + 0 475.892 * * [simplify]: Extracting #4: cost 136 inf + 42 475.893 * * [simplify]: Extracting #5: cost 192 inf + 248 475.895 * * [simplify]: Extracting #6: cost 275 inf + 2202 475.898 * * [simplify]: Extracting #7: cost 252 inf + 8218 475.905 * * [simplify]: Extracting #8: cost 141 inf + 35661 475.917 * * [simplify]: Extracting #9: cost 57 inf + 69662 475.945 * * [simplify]: Extracting #10: cost 6 inf + 114171 475.999 * * [simplify]: Extracting #11: cost 1 inf + 122056 476.053 * * [simplify]: Extracting #12: cost 0 inf + 124121 476.081 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 476.081 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 476.082 * * * * [progress]: [ 1561 / 5906 ] simplifiying candidate # 476.082 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 476.083 * * [simplify]: iters left: 6 (46 enodes) 476.094 * * [simplify]: iters left: 5 (229 enodes) 476.155 * * [simplify]: Extracting #0: cost 1 inf + 0 476.155 * * [simplify]: Extracting #1: cost 3 inf + 0 476.155 * * [simplify]: Extracting #2: cost 10 inf + 0 476.155 * * [simplify]: Extracting #3: cost 65 inf + 0 476.155 * * [simplify]: Extracting #4: cost 117 inf + 44 476.156 * * [simplify]: Extracting #5: cost 157 inf + 944 476.157 * * [simplify]: Extracting #6: cost 240 inf + 2932 476.158 * * [simplify]: Extracting #7: cost 239 inf + 4234 476.162 * * [simplify]: Extracting #8: cost 144 inf + 23662 476.172 * * [simplify]: Extracting #9: cost 59 inf + 58032 476.190 * * [simplify]: Extracting #10: cost 10 inf + 93205 476.233 * * [simplify]: Extracting #11: cost 0 inf + 103400 476.274 * * [simplify]: Extracting #12: cost 0 inf + 103160 476.297 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) 476.297 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 476.298 * * * * [progress]: [ 1562 / 5906 ] simplifiying candidate # 476.298 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 476.298 * * [simplify]: iters left: 6 (51 enodes) 476.313 * * [simplify]: iters left: 5 (256 enodes) 476.419 * * [simplify]: Extracting #0: cost 1 inf + 0 476.419 * * [simplify]: Extracting #1: cost 3 inf + 0 476.419 * * [simplify]: Extracting #2: cost 6 inf + 0 476.419 * * [simplify]: Extracting #3: cost 56 inf + 0 476.420 * * [simplify]: Extracting #4: cost 130 inf + 0 476.420 * * [simplify]: Extracting #5: cost 214 inf + 0 476.421 * * [simplify]: Extracting #6: cost 304 inf + 551 476.423 * * [simplify]: Extracting #7: cost 252 inf + 10563 476.428 * * [simplify]: Extracting #8: cost 152 inf + 31702 476.437 * * [simplify]: Extracting #9: cost 103 inf + 50583 476.456 * * [simplify]: Extracting #10: cost 56 inf + 72630 476.478 * * [simplify]: Extracting #11: cost 12 inf + 111250 476.508 * * [simplify]: Extracting #12: cost 1 inf + 125405 476.540 * * [simplify]: Extracting #13: cost 0 inf + 127430 476.569 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 476.569 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 476.570 * * * * [progress]: [ 1563 / 5906 ] simplifiying candidate # 476.571 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 476.571 * * [simplify]: iters left: 6 (52 enodes) 476.589 * * [simplify]: iters left: 5 (265 enodes) 476.687 * * [simplify]: Extracting #0: cost 1 inf + 0 476.687 * * [simplify]: Extracting #1: cost 3 inf + 0 476.687 * * [simplify]: Extracting #2: cost 6 inf + 0 476.687 * * [simplify]: Extracting #3: cost 60 inf + 0 476.688 * * [simplify]: Extracting #4: cost 153 inf + 0 476.689 * * [simplify]: Extracting #5: cost 226 inf + 127 476.691 * * [simplify]: Extracting #6: cost 285 inf + 3673 476.697 * * [simplify]: Extracting #7: cost 244 inf + 11610 476.708 * * [simplify]: Extracting #8: cost 168 inf + 26987 476.722 * * [simplify]: Extracting #9: cost 121 inf + 48196 476.736 * * [simplify]: Extracting #10: cost 92 inf + 62997 476.751 * * [simplify]: Extracting #11: cost 45 inf + 83642 476.769 * * [simplify]: Extracting #12: cost 30 inf + 97697 476.816 * * [simplify]: Extracting #13: cost 5 inf + 128602 476.872 * * [simplify]: Extracting #14: cost 0 inf + 136007 476.925 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) 476.925 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 476.926 * * * * [progress]: [ 1564 / 5906 ] simplifiying candidate # 476.927 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 476.928 * * [simplify]: iters left: 6 (52 enodes) 476.955 * * [simplify]: iters left: 5 (265 enodes) 477.030 * * [simplify]: Extracting #0: cost 1 inf + 0 477.030 * * [simplify]: Extracting #1: cost 3 inf + 0 477.030 * * [simplify]: Extracting #2: cost 6 inf + 0 477.030 * * [simplify]: Extracting #3: cost 62 inf + 0 477.030 * * [simplify]: Extracting #4: cost 151 inf + 0 477.031 * * [simplify]: Extracting #5: cost 223 inf + 85 477.032 * * [simplify]: Extracting #6: cost 282 inf + 3590 477.035 * * [simplify]: Extracting #7: cost 258 inf + 9095 477.041 * * [simplify]: Extracting #8: cost 188 inf + 22258 477.054 * * [simplify]: Extracting #9: cost 127 inf + 38043 477.078 * * [simplify]: Extracting #10: cost 64 inf + 68699 477.096 * * [simplify]: Extracting #11: cost 33 inf + 92757 477.135 * * [simplify]: Extracting #12: cost 7 inf + 121144 477.172 * * [simplify]: Extracting #13: cost 0 inf + 128239 477.207 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) 477.207 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 477.208 * * * * [progress]: [ 1565 / 5906 ] simplifiying candidate # 477.208 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 477.208 * * [simplify]: iters left: 6 (46 enodes) 477.222 * * [simplify]: iters left: 5 (229 enodes) 477.283 * * [simplify]: Extracting #0: cost 1 inf + 0 477.283 * * [simplify]: Extracting #1: cost 3 inf + 0 477.283 * * [simplify]: Extracting #2: cost 6 inf + 0 477.284 * * [simplify]: Extracting #3: cost 54 inf + 0 477.284 * * [simplify]: Extracting #4: cost 119 inf + 0 477.284 * * [simplify]: Extracting #5: cost 170 inf + 167 477.285 * * [simplify]: Extracting #6: cost 242 inf + 2042 477.287 * * [simplify]: Extracting #7: cost 236 inf + 3912 477.291 * * [simplify]: Extracting #8: cost 133 inf + 26249 477.302 * * [simplify]: Extracting #9: cost 56 inf + 59861 477.331 * * [simplify]: Extracting #10: cost 14 inf + 93898 477.355 * * [simplify]: Extracting #11: cost 0 inf + 104698 477.381 * * [simplify]: Extracting #12: cost 0 inf + 104298 477.409 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ phi1 phi2))))) 477.409 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 477.410 * * * * [progress]: [ 1566 / 5906 ] simplifiying candidate # 477.410 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 477.410 * * [simplify]: iters left: 6 (51 enodes) 477.426 * * [simplify]: iters left: 5 (257 enodes) 477.506 * * [simplify]: Extracting #0: cost 1 inf + 0 477.507 * * [simplify]: Extracting #1: cost 3 inf + 0 477.507 * * [simplify]: Extracting #2: cost 10 inf + 0 477.507 * * [simplify]: Extracting #3: cost 74 inf + 0 477.508 * * [simplify]: Extracting #4: cost 136 inf + 42 477.509 * * [simplify]: Extracting #5: cost 193 inf + 249 477.511 * * [simplify]: Extracting #6: cost 267 inf + 2486 477.514 * * [simplify]: Extracting #7: cost 251 inf + 5813 477.525 * * [simplify]: Extracting #8: cost 143 inf + 34005 477.558 * * [simplify]: Extracting #9: cost 26 inf + 96043 477.607 * * [simplify]: Extracting #10: cost 3 inf + 115314 477.637 * * [simplify]: Extracting #11: cost 1 inf + 119324 477.673 * * [simplify]: Extracting #12: cost 0 inf + 121349 477.725 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 477.725 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 477.726 * * * * [progress]: [ 1567 / 5906 ] simplifiying candidate # 477.726 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 477.727 * * [simplify]: iters left: 6 (46 enodes) 477.750 * * [simplify]: iters left: 5 (229 enodes) 477.826 * * [simplify]: Extracting #0: cost 1 inf + 0 477.826 * * [simplify]: Extracting #1: cost 3 inf + 0 477.826 * * [simplify]: Extracting #2: cost 10 inf + 0 477.826 * * [simplify]: Extracting #3: cost 66 inf + 0 477.827 * * [simplify]: Extracting #4: cost 117 inf + 44 477.827 * * [simplify]: Extracting #5: cost 162 inf + 496 477.828 * * [simplify]: Extracting #6: cost 235 inf + 2770 477.829 * * [simplify]: Extracting #7: cost 232 inf + 4314 477.835 * * [simplify]: Extracting #8: cost 134 inf + 26055 477.852 * * [simplify]: Extracting #9: cost 60 inf + 56118 477.871 * * [simplify]: Extracting #10: cost 11 inf + 92775 477.914 * * [simplify]: Extracting #11: cost 0 inf + 101988 477.936 * * [simplify]: Extracting #12: cost 0 inf + 101908 477.971 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) 477.971 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 477.972 * * * * [progress]: [ 1568 / 5906 ] simplifiying candidate # 477.973 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 477.973 * * [simplify]: iters left: 6 (51 enodes) 478.000 * * [simplify]: iters left: 5 (257 enodes) 478.084 * * [simplify]: Extracting #0: cost 1 inf + 0 478.084 * * [simplify]: Extracting #1: cost 3 inf + 0 478.084 * * [simplify]: Extracting #2: cost 10 inf + 0 478.085 * * [simplify]: Extracting #3: cost 74 inf + 0 478.085 * * [simplify]: Extracting #4: cost 136 inf + 42 478.086 * * [simplify]: Extracting #5: cost 193 inf + 248 478.089 * * [simplify]: Extracting #6: cost 265 inf + 3330 478.092 * * [simplify]: Extracting #7: cost 244 inf + 8271 478.101 * * [simplify]: Extracting #8: cost 150 inf + 29400 478.124 * * [simplify]: Extracting #9: cost 52 inf + 72033 478.150 * * [simplify]: Extracting #10: cost 5 inf + 113184 478.185 * * [simplify]: Extracting #11: cost 1 inf + 120124 478.214 * * [simplify]: Extracting #12: cost 0 inf + 122149 478.243 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 478.243 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 478.243 * * * * [progress]: [ 1569 / 5906 ] simplifiying candidate # 478.244 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 478.244 * * [simplify]: iters left: 6 (46 enodes) 478.257 * * [simplify]: iters left: 5 (229 enodes) 478.350 * * [simplify]: Extracting #0: cost 1 inf + 0 478.350 * * [simplify]: Extracting #1: cost 3 inf + 0 478.350 * * [simplify]: Extracting #2: cost 10 inf + 0 478.350 * * [simplify]: Extracting #3: cost 65 inf + 0 478.351 * * [simplify]: Extracting #4: cost 117 inf + 44 478.352 * * [simplify]: Extracting #5: cost 161 inf + 538 478.354 * * [simplify]: Extracting #6: cost 235 inf + 2770 478.356 * * [simplify]: Extracting #7: cost 232 inf + 4314 478.365 * * [simplify]: Extracting #8: cost 136 inf + 25546 478.375 * * [simplify]: Extracting #9: cost 61 inf + 55714 478.398 * * [simplify]: Extracting #10: cost 9 inf + 94151 478.427 * * [simplify]: Extracting #11: cost 0 inf + 102388 478.454 * * [simplify]: Extracting #12: cost 0 inf + 102308 478.496 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) 478.496 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 478.497 * * * * [progress]: [ 1570 / 5906 ] simplifiying candidate # 478.497 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 478.498 * * [simplify]: iters left: 6 (47 enodes) 478.523 * * [simplify]: iters left: 5 (229 enodes) 478.594 * * [simplify]: Extracting #0: cost 1 inf + 0 478.594 * * [simplify]: Extracting #1: cost 3 inf + 0 478.594 * * [simplify]: Extracting #2: cost 6 inf + 0 478.594 * * [simplify]: Extracting #3: cost 48 inf + 0 478.594 * * [simplify]: Extracting #4: cost 112 inf + 0 478.595 * * [simplify]: Extracting #5: cost 181 inf + 0 478.595 * * [simplify]: Extracting #6: cost 261 inf + 128 478.596 * * [simplify]: Extracting #7: cost 235 inf + 3922 478.600 * * [simplify]: Extracting #8: cost 152 inf + 19844 478.606 * * [simplify]: Extracting #9: cost 86 inf + 41040 478.616 * * [simplify]: Extracting #10: cost 43 inf + 60106 478.629 * * [simplify]: Extracting #11: cost 30 inf + 69210 478.655 * * [simplify]: Extracting #12: cost 4 inf + 95260 478.685 * * [simplify]: Extracting #13: cost 0 inf + 100720 478.707 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 478.707 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 478.708 * * * * [progress]: [ 1571 / 5906 ] simplifiying candidate # 478.708 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 478.708 * * [simplify]: iters left: 6 (48 enodes) 478.723 * * [simplify]: iters left: 5 (238 enodes) 478.789 * * [simplify]: Extracting #0: cost 1 inf + 0 478.789 * * [simplify]: Extracting #1: cost 3 inf + 0 478.789 * * [simplify]: Extracting #2: cost 6 inf + 0 478.790 * * [simplify]: Extracting #3: cost 52 inf + 0 478.790 * * [simplify]: Extracting #4: cost 135 inf + 0 478.791 * * [simplify]: Extracting #5: cost 188 inf + 534 478.794 * * [simplify]: Extracting #6: cost 231 inf + 5368 478.798 * * [simplify]: Extracting #7: cost 208 inf + 10203 478.807 * * [simplify]: Extracting #8: cost 131 inf + 26163 478.825 * * [simplify]: Extracting #9: cost 55 inf + 55732 478.849 * * [simplify]: Extracting #10: cost 31 inf + 70482 478.884 * * [simplify]: Extracting #11: cost 6 inf + 94907 478.904 * * [simplify]: Extracting #12: cost 0 inf + 102337 478.935 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) 478.936 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 478.936 * * * * [progress]: [ 1572 / 5906 ] simplifiying candidate # 478.936 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 478.937 * * [simplify]: iters left: 6 (48 enodes) 478.949 * * [simplify]: iters left: 5 (238 enodes) 479.025 * * [simplify]: Extracting #0: cost 1 inf + 0 479.025 * * [simplify]: Extracting #1: cost 3 inf + 0 479.025 * * [simplify]: Extracting #2: cost 6 inf + 0 479.025 * * [simplify]: Extracting #3: cost 54 inf + 0 479.026 * * [simplify]: Extracting #4: cost 133 inf + 0 479.026 * * [simplify]: Extracting #5: cost 187 inf + 290 479.027 * * [simplify]: Extracting #6: cost 230 inf + 4764 479.030 * * [simplify]: Extracting #7: cost 205 inf + 10671 479.034 * * [simplify]: Extracting #8: cost 127 inf + 26794 479.052 * * [simplify]: Extracting #9: cost 51 inf + 57701 479.077 * * [simplify]: Extracting #10: cost 30 inf + 70859 479.110 * * [simplify]: Extracting #11: cost 9 inf + 91464 479.153 * * [simplify]: Extracting #12: cost 0 inf + 101329 479.195 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (* (- phi1 phi2) (+ phi1 phi2))))) 479.196 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (* (- phi1 phi2) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 479.197 * * * * [progress]: [ 1573 / 5906 ] simplifiying candidate # 479.197 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 479.198 * * [simplify]: iters left: 6 (42 enodes) 479.220 * * [simplify]: iters left: 5 (203 enodes) 479.303 * * [simplify]: Extracting #0: cost 1 inf + 0 479.303 * * [simplify]: Extracting #1: cost 3 inf + 0 479.303 * * [simplify]: Extracting #2: cost 6 inf + 0 479.304 * * [simplify]: Extracting #3: cost 46 inf + 0 479.304 * * [simplify]: Extracting #4: cost 101 inf + 0 479.305 * * [simplify]: Extracting #5: cost 138 inf + 85 479.306 * * [simplify]: Extracting #6: cost 198 inf + 1799 479.309 * * [simplify]: Extracting #7: cost 187 inf + 4441 479.316 * * [simplify]: Extracting #8: cost 113 inf + 21280 479.330 * * [simplify]: Extracting #9: cost 57 inf + 41445 479.359 * * [simplify]: Extracting #10: cost 10 inf + 74343 479.393 * * [simplify]: Extracting #11: cost 0 inf + 80588 479.417 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))) 479.418 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 479.418 * * * * [progress]: [ 1574 / 5906 ] simplifiying candidate # 479.418 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 479.419 * * [simplify]: iters left: 6 (47 enodes) 479.430 * * [simplify]: iters left: 5 (231 enodes) 479.488 * * [simplify]: Extracting #0: cost 1 inf + 0 479.488 * * [simplify]: Extracting #1: cost 3 inf + 0 479.488 * * [simplify]: Extracting #2: cost 10 inf + 0 479.488 * * [simplify]: Extracting #3: cost 62 inf + 0 479.489 * * [simplify]: Extracting #4: cost 115 inf + 42 479.490 * * [simplify]: Extracting #5: cost 155 inf + 331 479.492 * * [simplify]: Extracting #6: cost 218 inf + 2727 479.495 * * [simplify]: Extracting #7: cost 200 inf + 6862 479.504 * * [simplify]: Extracting #8: cost 115 inf + 28851 479.531 * * [simplify]: Extracting #9: cost 27 inf + 74157 479.570 * * [simplify]: Extracting #10: cost 7 inf + 89581 479.589 * * [simplify]: Extracting #11: cost 0 inf + 93564 479.619 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) 479.619 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 479.621 * * * * [progress]: [ 1575 / 5906 ] simplifiying candidate # 479.621 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 479.622 * * [simplify]: iters left: 6 (42 enodes) 479.643 * * [simplify]: iters left: 5 (204 enodes) 479.715 * * [simplify]: Extracting #0: cost 1 inf + 0 479.715 * * [simplify]: Extracting #1: cost 3 inf + 0 479.715 * * [simplify]: Extracting #2: cost 10 inf + 0 479.716 * * [simplify]: Extracting #3: cost 54 inf + 0 479.716 * * [simplify]: Extracting #4: cost 95 inf + 86 479.716 * * [simplify]: Extracting #5: cost 122 inf + 864 479.717 * * [simplify]: Extracting #6: cost 186 inf + 2932 479.718 * * [simplify]: Extracting #7: cost 181 inf + 4681 479.721 * * [simplify]: Extracting #8: cost 134 inf + 12896 479.727 * * [simplify]: Extracting #9: cost 73 inf + 35414 479.738 * * [simplify]: Extracting #10: cost 20 inf + 58813 479.765 * * [simplify]: Extracting #11: cost 3 inf + 72048 479.792 * * [simplify]: Extracting #12: cost 0 inf + 76363 479.809 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 479.809 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 479.810 * * * * [progress]: [ 1576 / 5906 ] simplifiying candidate # 479.810 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 479.810 * * [simplify]: iters left: 6 (47 enodes) 479.830 * * [simplify]: iters left: 5 (231 enodes) 479.902 * * [simplify]: Extracting #0: cost 1 inf + 0 479.902 * * [simplify]: Extracting #1: cost 3 inf + 0 479.902 * * [simplify]: Extracting #2: cost 10 inf + 0 479.902 * * [simplify]: Extracting #3: cost 62 inf + 0 479.903 * * [simplify]: Extracting #4: cost 115 inf + 42 479.903 * * [simplify]: Extracting #5: cost 155 inf + 332 479.904 * * [simplify]: Extracting #6: cost 213 inf + 3897 479.906 * * [simplify]: Extracting #7: cost 200 inf + 6821 479.912 * * [simplify]: Extracting #8: cost 116 inf + 28749 479.939 * * [simplify]: Extracting #9: cost 25 inf + 75165 479.977 * * [simplify]: Extracting #10: cost 5 inf + 91189 480.015 * * [simplify]: Extracting #11: cost 0 inf + 94204 480.043 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) 480.043 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 480.044 * * * * [progress]: [ 1577 / 5906 ] simplifiying candidate # 480.044 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 480.044 * * [simplify]: iters left: 6 (42 enodes) 480.055 * * [simplify]: iters left: 5 (204 enodes) 480.104 * * [simplify]: Extracting #0: cost 1 inf + 0 480.104 * * [simplify]: Extracting #1: cost 3 inf + 0 480.104 * * [simplify]: Extracting #2: cost 10 inf + 0 480.104 * * [simplify]: Extracting #3: cost 53 inf + 0 480.105 * * [simplify]: Extracting #4: cost 95 inf + 86 480.106 * * [simplify]: Extracting #5: cost 120 inf + 1108 480.107 * * [simplify]: Extracting #6: cost 186 inf + 2932 480.109 * * [simplify]: Extracting #7: cost 181 inf + 4681 480.112 * * [simplify]: Extracting #8: cost 135 inf + 12775 480.119 * * [simplify]: Extracting #9: cost 72 inf + 36768 480.130 * * [simplify]: Extracting #10: cost 19 inf + 59114 480.145 * * [simplify]: Extracting #11: cost 3 inf + 72408 480.160 * * [simplify]: Extracting #12: cost 0 inf + 76683 480.187 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 480.187 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 480.188 * * * * [progress]: [ 1578 / 5906 ] simplifiying candidate # 480.188 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 480.189 * * [simplify]: iters left: 6 (52 enodes) 480.205 * * [simplify]: iters left: 5 (254 enodes) 480.260 * * [simplify]: Extracting #0: cost 1 inf + 0 480.260 * * [simplify]: Extracting #1: cost 3 inf + 0 480.260 * * [simplify]: Extracting #2: cost 6 inf + 0 480.261 * * [simplify]: Extracting #3: cost 56 inf + 0 480.261 * * [simplify]: Extracting #4: cost 130 inf + 0 480.262 * * [simplify]: Extracting #5: cost 208 inf + 0 480.263 * * [simplify]: Extracting #6: cost 300 inf + 469 480.271 * * [simplify]: Extracting #7: cost 238 inf + 10448 480.285 * * [simplify]: Extracting #8: cost 113 inf + 47546 480.309 * * [simplify]: Extracting #9: cost 51 inf + 72534 480.347 * * [simplify]: Extracting #10: cost 18 inf + 105175 480.397 * * [simplify]: Extracting #11: cost 0 inf + 128025 480.447 * * [simplify]: Extracting #12: cost 0 inf + 127505 480.499 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) 480.499 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 480.500 * * * * [progress]: [ 1579 / 5906 ] simplifiying candidate # 480.500 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 480.501 * * [simplify]: iters left: 6 (53 enodes) 480.527 * * [simplify]: iters left: 5 (263 enodes) 480.637 * * [simplify]: Extracting #0: cost 1 inf + 0 480.637 * * [simplify]: Extracting #1: cost 3 inf + 0 480.637 * * [simplify]: Extracting #2: cost 6 inf + 0 480.637 * * [simplify]: Extracting #3: cost 60 inf + 0 480.638 * * [simplify]: Extracting #4: cost 153 inf + 0 480.639 * * [simplify]: Extracting #5: cost 222 inf + 44 480.641 * * [simplify]: Extracting #6: cost 277 inf + 4518 480.644 * * [simplify]: Extracting #7: cost 241 inf + 10637 480.648 * * [simplify]: Extracting #8: cost 172 inf + 24276 480.657 * * [simplify]: Extracting #9: cost 98 inf + 56677 480.675 * * [simplify]: Extracting #10: cost 46 inf + 79652 480.716 * * [simplify]: Extracting #11: cost 12 inf + 113502 480.760 * * [simplify]: Extracting #12: cost 0 inf + 127802 480.786 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 480.786 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 480.786 * * * * [progress]: [ 1580 / 5906 ] simplifiying candidate # 480.787 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 480.787 * * [simplify]: iters left: 6 (53 enodes) 480.814 * * [simplify]: iters left: 5 (263 enodes) 480.906 * * [simplify]: Extracting #0: cost 1 inf + 0 480.906 * * [simplify]: Extracting #1: cost 3 inf + 0 480.906 * * [simplify]: Extracting #2: cost 6 inf + 0 480.907 * * [simplify]: Extracting #3: cost 62 inf + 0 480.907 * * [simplify]: Extracting #4: cost 151 inf + 0 480.908 * * [simplify]: Extracting #5: cost 219 inf + 2 480.911 * * [simplify]: Extracting #6: cost 287 inf + 2731 480.917 * * [simplify]: Extracting #7: cost 213 inf + 16086 480.924 * * [simplify]: Extracting #8: cost 145 inf + 38685 480.934 * * [simplify]: Extracting #9: cost 92 inf + 59706 480.950 * * [simplify]: Extracting #10: cost 48 inf + 77076 480.989 * * [simplify]: Extracting #11: cost 12 inf + 114854 481.033 * * [simplify]: Extracting #12: cost 0 inf + 128394 481.066 * * [simplify]: Extracting #13: cost 0 inf + 128074 481.116 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 481.116 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 481.117 * * * * [progress]: [ 1581 / 5906 ] simplifiying candidate # 481.117 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 481.118 * * [simplify]: iters left: 6 (47 enodes) 481.135 * * [simplify]: iters left: 5 (227 enodes) 481.211 * * [simplify]: Extracting #0: cost 1 inf + 0 481.211 * * [simplify]: Extracting #1: cost 3 inf + 0 481.212 * * [simplify]: Extracting #2: cost 6 inf + 0 481.212 * * [simplify]: Extracting #3: cost 54 inf + 0 481.212 * * [simplify]: Extracting #4: cost 119 inf + 0 481.213 * * [simplify]: Extracting #5: cost 167 inf + 44 481.215 * * [simplify]: Extracting #6: cost 241 inf + 1316 481.218 * * [simplify]: Extracting #7: cost 225 inf + 4399 481.224 * * [simplify]: Extracting #8: cost 164 inf + 17467 481.234 * * [simplify]: Extracting #9: cost 73 inf + 48918 481.247 * * [simplify]: Extracting #10: cost 28 inf + 75103 481.268 * * [simplify]: Extracting #11: cost 4 inf + 99117 481.294 * * [simplify]: Extracting #12: cost 1 inf + 103872 481.325 * * [simplify]: Extracting #13: cost 0 inf + 105737 481.347 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 481.347 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 481.347 * * * * [progress]: [ 1582 / 5906 ] simplifiying candidate # 481.348 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 481.348 * * [simplify]: iters left: 6 (52 enodes) 481.361 * * [simplify]: iters left: 5 (255 enodes) 481.438 * * [simplify]: Extracting #0: cost 1 inf + 0 481.438 * * [simplify]: Extracting #1: cost 3 inf + 0 481.438 * * [simplify]: Extracting #2: cost 10 inf + 0 481.438 * * [simplify]: Extracting #3: cost 74 inf + 0 481.439 * * [simplify]: Extracting #4: cost 137 inf + 1 481.439 * * [simplify]: Extracting #5: cost 187 inf + 248 481.441 * * [simplify]: Extracting #6: cost 266 inf + 1798 481.444 * * [simplify]: Extracting #7: cost 228 inf + 8041 481.449 * * [simplify]: Extracting #8: cost 175 inf + 19304 481.456 * * [simplify]: Extracting #9: cost 115 inf + 39954 481.467 * * [simplify]: Extracting #10: cost 53 inf + 67883 481.485 * * [simplify]: Extracting #11: cost 42 inf + 75814 481.511 * * [simplify]: Extracting #12: cost 6 inf + 111234 481.544 * * [simplify]: Extracting #13: cost 0 inf + 119744 481.574 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 481.574 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 481.575 * * * * [progress]: [ 1583 / 5906 ] simplifiying candidate # 481.575 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 481.576 * * [simplify]: iters left: 6 (47 enodes) 481.590 * * [simplify]: iters left: 5 (227 enodes) 481.652 * * [simplify]: Extracting #0: cost 1 inf + 0 481.652 * * [simplify]: Extracting #1: cost 3 inf + 0 481.652 * * [simplify]: Extracting #2: cost 10 inf + 0 481.652 * * [simplify]: Extracting #3: cost 66 inf + 0 481.652 * * [simplify]: Extracting #4: cost 117 inf + 44 481.653 * * [simplify]: Extracting #5: cost 152 inf + 984 481.654 * * [simplify]: Extracting #6: cost 228 inf + 2932 481.655 * * [simplify]: Extracting #7: cost 218 inf + 4882 481.658 * * [simplify]: Extracting #8: cost 161 inf + 17672 481.669 * * [simplify]: Extracting #9: cost 63 inf + 50859 481.693 * * [simplify]: Extracting #10: cost 8 inf + 92311 481.716 * * [simplify]: Extracting #11: cost 1 inf + 98838 481.757 * * [simplify]: Extracting #12: cost 0 inf + 100263 481.796 * * [simplify]: Extracting #13: cost 0 inf + 99903 481.835 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (+ phi1 phi2)))))) 481.835 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 481.836 * * * * [progress]: [ 1584 / 5906 ] simplifiying candidate # 481.837 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 481.837 * * [simplify]: iters left: 6 (52 enodes) 481.863 * * [simplify]: iters left: 5 (255 enodes) 481.953 * * [simplify]: Extracting #0: cost 1 inf + 0 481.953 * * [simplify]: Extracting #1: cost 3 inf + 0 481.953 * * [simplify]: Extracting #2: cost 10 inf + 0 481.953 * * [simplify]: Extracting #3: cost 74 inf + 0 481.954 * * [simplify]: Extracting #4: cost 137 inf + 1 481.954 * * [simplify]: Extracting #5: cost 187 inf + 248 481.955 * * [simplify]: Extracting #6: cost 268 inf + 1353 481.957 * * [simplify]: Extracting #7: cost 234 inf + 6429 481.960 * * [simplify]: Extracting #8: cost 177 inf + 18770 481.969 * * [simplify]: Extracting #9: cost 115 inf + 40154 481.994 * * [simplify]: Extracting #10: cost 53 inf + 68843 482.008 * * [simplify]: Extracting #11: cost 42 inf + 76774 482.032 * * [simplify]: Extracting #12: cost 6 inf + 112194 482.079 * * [simplify]: Extracting #13: cost 0 inf + 120704 482.128 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 482.128 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 482.129 * * * * [progress]: [ 1585 / 5906 ] simplifiying candidate # 482.129 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 482.130 * * [simplify]: iters left: 6 (47 enodes) 482.157 * * [simplify]: iters left: 5 (227 enodes) 482.207 * * [simplify]: Extracting #0: cost 1 inf + 0 482.207 * * [simplify]: Extracting #1: cost 3 inf + 0 482.208 * * [simplify]: Extracting #2: cost 10 inf + 0 482.208 * * [simplify]: Extracting #3: cost 65 inf + 0 482.208 * * [simplify]: Extracting #4: cost 117 inf + 44 482.208 * * [simplify]: Extracting #5: cost 154 inf + 780 482.209 * * [simplify]: Extracting #6: cost 230 inf + 2608 482.211 * * [simplify]: Extracting #7: cost 220 inf + 4720 482.214 * * [simplify]: Extracting #8: cost 160 inf + 18257 482.222 * * [simplify]: Extracting #9: cost 61 inf + 51974 482.241 * * [simplify]: Extracting #10: cost 7 inf + 91981 482.266 * * [simplify]: Extracting #11: cost 1 inf + 98678 482.297 * * [simplify]: Extracting #12: cost 0 inf + 100383 482.318 * * [simplify]: Extracting #13: cost 0 inf + 100303 482.356 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (+ phi1 phi2)))))) 482.356 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 482.357 * * * * [progress]: [ 1586 / 5906 ] simplifiying candidate # 482.357 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 482.358 * * [simplify]: iters left: 6 (52 enodes) 482.387 * * [simplify]: iters left: 5 (254 enodes) 482.476 * * [simplify]: Extracting #0: cost 1 inf + 0 482.476 * * [simplify]: Extracting #1: cost 3 inf + 0 482.476 * * [simplify]: Extracting #2: cost 6 inf + 0 482.476 * * [simplify]: Extracting #3: cost 56 inf + 0 482.476 * * [simplify]: Extracting #4: cost 130 inf + 0 482.477 * * [simplify]: Extracting #5: cost 207 inf + 0 482.478 * * [simplify]: Extracting #6: cost 288 inf + 754 482.480 * * [simplify]: Extracting #7: cost 218 inf + 14870 482.491 * * [simplify]: Extracting #8: cost 101 inf + 54291 482.515 * * [simplify]: Extracting #9: cost 51 inf + 70943 482.544 * * [simplify]: Extracting #10: cost 16 inf + 104903 482.574 * * [simplify]: Extracting #11: cost 0 inf + 125143 482.622 * * [simplify]: Extracting #12: cost 0 inf + 124703 482.662 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))))) 482.663 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 482.663 * * * * [progress]: [ 1587 / 5906 ] simplifiying candidate # 482.663 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 482.664 * * [simplify]: iters left: 6 (53 enodes) 482.681 * * [simplify]: iters left: 5 (263 enodes) 482.757 * * [simplify]: Extracting #0: cost 1 inf + 0 482.757 * * [simplify]: Extracting #1: cost 3 inf + 0 482.757 * * [simplify]: Extracting #2: cost 6 inf + 0 482.757 * * [simplify]: Extracting #3: cost 60 inf + 0 482.757 * * [simplify]: Extracting #4: cost 153 inf + 0 482.758 * * [simplify]: Extracting #5: cost 221 inf + 44 482.759 * * [simplify]: Extracting #6: cost 268 inf + 4846 482.762 * * [simplify]: Extracting #7: cost 209 inf + 15418 482.774 * * [simplify]: Extracting #8: cost 138 inf + 40079 482.794 * * [simplify]: Extracting #9: cost 89 inf + 60506 482.818 * * [simplify]: Extracting #10: cost 45 inf + 77715 482.838 * * [simplify]: Extracting #11: cost 10 inf + 113150 482.874 * * [simplify]: Extracting #12: cost 0 inf + 126080 482.907 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 482.907 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 482.908 * * * * [progress]: [ 1588 / 5906 ] simplifiying candidate # 482.909 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 482.910 * * [simplify]: iters left: 6 (53 enodes) 482.933 * * [simplify]: iters left: 5 (263 enodes) 483.004 * * [simplify]: Extracting #0: cost 1 inf + 0 483.004 * * [simplify]: Extracting #1: cost 3 inf + 0 483.004 * * [simplify]: Extracting #2: cost 6 inf + 0 483.004 * * [simplify]: Extracting #3: cost 62 inf + 0 483.004 * * [simplify]: Extracting #4: cost 151 inf + 0 483.005 * * [simplify]: Extracting #5: cost 218 inf + 2 483.006 * * [simplify]: Extracting #6: cost 278 inf + 2940 483.009 * * [simplify]: Extracting #7: cost 204 inf + 16862 483.017 * * [simplify]: Extracting #8: cost 145 inf + 38145 483.035 * * [simplify]: Extracting #9: cost 93 inf + 58480 483.048 * * [simplify]: Extracting #10: cost 44 inf + 78452 483.074 * * [simplify]: Extracting #11: cost 11 inf + 111837 483.102 * * [simplify]: Extracting #12: cost 0 inf + 125112 483.144 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* phi1 phi1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi2 phi2)))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 483.144 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* phi1 phi1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi2 phi2)))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 483.145 * * * * [progress]: [ 1589 / 5906 ] simplifiying candidate # 483.145 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 483.146 * * [simplify]: iters left: 6 (47 enodes) 483.157 * * [simplify]: iters left: 5 (227 enodes) 483.218 * * [simplify]: Extracting #0: cost 1 inf + 0 483.218 * * [simplify]: Extracting #1: cost 3 inf + 0 483.218 * * [simplify]: Extracting #2: cost 6 inf + 0 483.218 * * [simplify]: Extracting #3: cost 54 inf + 0 483.219 * * [simplify]: Extracting #4: cost 119 inf + 0 483.219 * * [simplify]: Extracting #5: cost 166 inf + 44 483.221 * * [simplify]: Extracting #6: cost 234 inf + 1400 483.224 * * [simplify]: Extracting #7: cost 205 inf + 7123 483.231 * * [simplify]: Extracting #8: cost 146 inf + 23699 483.245 * * [simplify]: Extracting #9: cost 84 inf + 46775 483.265 * * [simplify]: Extracting #10: cost 47 inf + 60386 483.294 * * [simplify]: Extracting #11: cost 7 inf + 93560 483.313 * * [simplify]: Extracting #12: cost 1 inf + 100790 483.347 * * [simplify]: Extracting #13: cost 0 inf + 102615 483.387 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 483.387 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 483.388 * * * * [progress]: [ 1590 / 5906 ] simplifiying candidate # 483.388 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 483.389 * * [simplify]: iters left: 6 (52 enodes) 483.406 * * [simplify]: iters left: 5 (255 enodes) 483.477 * * [simplify]: Extracting #0: cost 1 inf + 0 483.477 * * [simplify]: Extracting #1: cost 3 inf + 0 483.477 * * [simplify]: Extracting #2: cost 10 inf + 0 483.477 * * [simplify]: Extracting #3: cost 74 inf + 0 483.477 * * [simplify]: Extracting #4: cost 137 inf + 1 483.478 * * [simplify]: Extracting #5: cost 186 inf + 248 483.479 * * [simplify]: Extracting #6: cost 251 inf + 2618 483.481 * * [simplify]: Extracting #7: cost 199 inf + 13464 483.486 * * [simplify]: Extracting #8: cost 152 inf + 27966 483.495 * * [simplify]: Extracting #9: cost 99 inf + 49024 483.516 * * [simplify]: Extracting #10: cost 54 inf + 65072 483.539 * * [simplify]: Extracting #11: cost 30 inf + 80592 483.577 * * [simplify]: Extracting #12: cost 3 inf + 111627 483.601 * * [simplify]: Extracting #13: cost 0 inf + 117662 483.631 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 483.631 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 483.631 * * * * [progress]: [ 1591 / 5906 ] simplifiying candidate # 483.632 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 483.632 * * [simplify]: iters left: 6 (47 enodes) 483.644 * * [simplify]: iters left: 5 (227 enodes) 483.732 * * [simplify]: Extracting #0: cost 1 inf + 0 483.732 * * [simplify]: Extracting #1: cost 3 inf + 0 483.732 * * [simplify]: Extracting #2: cost 10 inf + 0 483.732 * * [simplify]: Extracting #3: cost 66 inf + 0 483.733 * * [simplify]: Extracting #4: cost 117 inf + 44 483.734 * * [simplify]: Extracting #5: cost 151 inf + 984 483.736 * * [simplify]: Extracting #6: cost 221 inf + 3017 483.739 * * [simplify]: Extracting #7: cost 194 inf + 8535 483.749 * * [simplify]: Extracting #8: cost 117 inf + 29863 483.768 * * [simplify]: Extracting #9: cost 43 inf + 61258 483.784 * * [simplify]: Extracting #10: cost 7 inf + 90099 483.811 * * [simplify]: Extracting #11: cost 1 inf + 96916 483.848 * * [simplify]: Extracting #12: cost 0 inf + 98341 483.869 * * [simplify]: Extracting #13: cost 0 inf + 97981 483.896 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 483.896 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 483.896 * * * * [progress]: [ 1592 / 5906 ] simplifiying candidate # 483.897 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 483.897 * * [simplify]: iters left: 6 (52 enodes) 483.911 * * [simplify]: iters left: 5 (255 enodes) 483.966 * * [simplify]: Extracting #0: cost 1 inf + 0 483.967 * * [simplify]: Extracting #1: cost 3 inf + 0 483.967 * * [simplify]: Extracting #2: cost 10 inf + 0 483.967 * * [simplify]: Extracting #3: cost 74 inf + 0 483.967 * * [simplify]: Extracting #4: cost 137 inf + 1 483.968 * * [simplify]: Extracting #5: cost 186 inf + 248 483.969 * * [simplify]: Extracting #6: cost 254 inf + 2092 483.971 * * [simplify]: Extracting #7: cost 207 inf + 10842 483.975 * * [simplify]: Extracting #8: cost 156 inf + 26102 483.983 * * [simplify]: Extracting #9: cost 98 inf + 50289 483.995 * * [simplify]: Extracting #10: cost 54 inf + 66032 484.015 * * [simplify]: Extracting #11: cost 30 inf + 81552 484.059 * * [simplify]: Extracting #12: cost 3 inf + 112587 484.095 * * [simplify]: Extracting #13: cost 0 inf + 118622 484.125 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 484.126 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 484.127 * * * * [progress]: [ 1593 / 5906 ] simplifiying candidate # 484.127 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 484.128 * * [simplify]: iters left: 6 (47 enodes) 484.152 * * [simplify]: iters left: 5 (227 enodes) 484.225 * * [simplify]: Extracting #0: cost 1 inf + 0 484.225 * * [simplify]: Extracting #1: cost 3 inf + 0 484.225 * * [simplify]: Extracting #2: cost 10 inf + 0 484.225 * * [simplify]: Extracting #3: cost 65 inf + 0 484.226 * * [simplify]: Extracting #4: cost 116 inf + 86 484.226 * * [simplify]: Extracting #5: cost 147 inf + 1472 484.227 * * [simplify]: Extracting #6: cost 219 inf + 3181 484.229 * * [simplify]: Extracting #7: cost 191 inf + 8944 484.234 * * [simplify]: Extracting #8: cost 113 inf + 31546 484.251 * * [simplify]: Extracting #9: cost 47 inf + 60507 484.267 * * [simplify]: Extracting #10: cost 7 inf + 90139 484.295 * * [simplify]: Extracting #11: cost 1 inf + 96756 484.333 * * [simplify]: Extracting #12: cost 0 inf + 98461 484.365 * * [simplify]: Extracting #13: cost 0 inf + 98381 484.385 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 484.385 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 484.386 * * * * [progress]: [ 1594 / 5906 ] simplifiying candidate # 484.386 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 484.386 * * [simplify]: iters left: 6 (52 enodes) 484.405 * * [simplify]: iters left: 5 (255 enodes) 484.487 * * [simplify]: Extracting #0: cost 1 inf + 0 484.487 * * [simplify]: Extracting #1: cost 3 inf + 0 484.487 * * [simplify]: Extracting #2: cost 6 inf + 0 484.488 * * [simplify]: Extracting #3: cost 56 inf + 0 484.488 * * [simplify]: Extracting #4: cost 130 inf + 0 484.489 * * [simplify]: Extracting #5: cost 207 inf + 0 484.491 * * [simplify]: Extracting #6: cost 301 inf + 257 484.494 * * [simplify]: Extracting #7: cost 256 inf + 7085 484.504 * * [simplify]: Extracting #8: cost 163 inf + 30670 484.521 * * [simplify]: Extracting #9: cost 97 inf + 55711 484.544 * * [simplify]: Extracting #10: cost 57 inf + 69360 484.558 * * [simplify]: Extracting #11: cost 38 inf + 81675 484.587 * * [simplify]: Extracting #12: cost 11 inf + 111790 484.613 * * [simplify]: Extracting #13: cost 0 inf + 127985 484.662 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) 484.662 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 484.664 * * * * [progress]: [ 1595 / 5906 ] simplifiying candidate # 484.664 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 484.665 * * [simplify]: iters left: 6 (53 enodes) 484.693 * * [simplify]: iters left: 5 (264 enodes) 484.802 * * [simplify]: Extracting #0: cost 1 inf + 0 484.802 * * [simplify]: Extracting #1: cost 3 inf + 0 484.802 * * [simplify]: Extracting #2: cost 6 inf + 0 484.803 * * [simplify]: Extracting #3: cost 60 inf + 0 484.803 * * [simplify]: Extracting #4: cost 153 inf + 0 484.804 * * [simplify]: Extracting #5: cost 220 inf + 86 484.807 * * [simplify]: Extracting #6: cost 275 inf + 4683 484.812 * * [simplify]: Extracting #7: cost 241 inf + 10719 484.819 * * [simplify]: Extracting #8: cost 170 inf + 23789 484.828 * * [simplify]: Extracting #9: cost 100 inf + 54752 484.843 * * [simplify]: Extracting #10: cost 45 inf + 80317 484.884 * * [simplify]: Extracting #11: cost 7 inf + 119467 484.914 * * [simplify]: Extracting #12: cost 0 inf + 128602 484.957 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 484.957 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 484.958 * * * * [progress]: [ 1596 / 5906 ] simplifiying candidate # 484.958 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 484.959 * * [simplify]: iters left: 6 (53 enodes) 484.987 * * [simplify]: iters left: 5 (264 enodes) 485.071 * * [simplify]: Extracting #0: cost 1 inf + 0 485.071 * * [simplify]: Extracting #1: cost 3 inf + 0 485.071 * * [simplify]: Extracting #2: cost 6 inf + 0 485.071 * * [simplify]: Extracting #3: cost 62 inf + 0 485.071 * * [simplify]: Extracting #4: cost 151 inf + 0 485.072 * * [simplify]: Extracting #5: cost 216 inf + 86 485.074 * * [simplify]: Extracting #6: cost 273 inf + 4558 485.079 * * [simplify]: Extracting #7: cost 237 inf + 11156 485.087 * * [simplify]: Extracting #8: cost 184 inf + 20583 485.101 * * [simplify]: Extracting #9: cost 110 inf + 47861 485.126 * * [simplify]: Extracting #10: cost 50 inf + 75407 485.165 * * [simplify]: Extracting #11: cost 12 inf + 113774 485.199 * * [simplify]: Extracting #12: cost 0 inf + 127234 485.234 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 485.234 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 485.235 * * * * [progress]: [ 1597 / 5906 ] simplifiying candidate # 485.235 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 485.236 * * [simplify]: iters left: 6 (47 enodes) 485.260 * * [simplify]: iters left: 5 (228 enodes) 485.350 * * [simplify]: Extracting #0: cost 1 inf + 0 485.350 * * [simplify]: Extracting #1: cost 3 inf + 0 485.350 * * [simplify]: Extracting #2: cost 6 inf + 0 485.351 * * [simplify]: Extracting #3: cost 54 inf + 0 485.354 * * [simplify]: Extracting #4: cost 119 inf + 0 485.355 * * [simplify]: Extracting #5: cost 165 inf + 86 485.357 * * [simplify]: Extracting #6: cost 243 inf + 1152 485.359 * * [simplify]: Extracting #7: cost 221 inf + 5046 485.363 * * [simplify]: Extracting #8: cost 165 inf + 18129 485.371 * * [simplify]: Extracting #9: cost 76 inf + 46118 485.383 * * [simplify]: Extracting #10: cost 30 inf + 73360 485.410 * * [simplify]: Extracting #11: cost 4 inf + 99557 485.450 * * [simplify]: Extracting #12: cost 1 inf + 104352 485.491 * * [simplify]: Extracting #13: cost 0 inf + 106217 485.522 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 485.522 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 485.523 * * * * [progress]: [ 1598 / 5906 ] simplifiying candidate # 485.524 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 485.525 * * [simplify]: iters left: 6 (52 enodes) 485.553 * * [simplify]: iters left: 5 (256 enodes) 485.626 * * [simplify]: Extracting #0: cost 1 inf + 0 485.626 * * [simplify]: Extracting #1: cost 3 inf + 0 485.626 * * [simplify]: Extracting #2: cost 10 inf + 0 485.626 * * [simplify]: Extracting #3: cost 74 inf + 0 485.626 * * [simplify]: Extracting #4: cost 136 inf + 42 485.627 * * [simplify]: Extracting #5: cost 186 inf + 248 485.627 * * [simplify]: Extracting #6: cost 264 inf + 2202 485.629 * * [simplify]: Extracting #7: cost 231 inf + 7476 485.633 * * [simplify]: Extracting #8: cost 174 inf + 20159 485.640 * * [simplify]: Extracting #9: cost 101 inf + 47386 485.655 * * [simplify]: Extracting #10: cost 55 inf + 66910 485.673 * * [simplify]: Extracting #11: cost 30 inf + 84514 485.695 * * [simplify]: Extracting #12: cost 5 inf + 112739 485.744 * * [simplify]: Extracting #13: cost 1 inf + 119119 485.773 * * [simplify]: Extracting #14: cost 0 inf + 121184 485.822 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 485.822 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 485.823 * * * * [progress]: [ 1599 / 5906 ] simplifiying candidate # 485.824 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 485.824 * * [simplify]: iters left: 6 (47 enodes) 485.847 * * [simplify]: iters left: 5 (228 enodes) 485.910 * * [simplify]: Extracting #0: cost 1 inf + 0 485.910 * * [simplify]: Extracting #1: cost 3 inf + 0 485.910 * * [simplify]: Extracting #2: cost 10 inf + 0 485.910 * * [simplify]: Extracting #3: cost 66 inf + 0 485.911 * * [simplify]: Extracting #4: cost 117 inf + 44 485.912 * * [simplify]: Extracting #5: cost 149 inf + 1268 485.914 * * [simplify]: Extracting #6: cost 228 inf + 2932 485.917 * * [simplify]: Extracting #7: cost 220 inf + 4639 485.923 * * [simplify]: Extracting #8: cost 154 inf + 19557 485.941 * * [simplify]: Extracting #9: cost 65 inf + 52488 485.973 * * [simplify]: Extracting #10: cost 9 inf + 92387 486.011 * * [simplify]: Extracting #11: cost 1 inf + 98598 486.048 * * [simplify]: Extracting #12: cost 0 inf + 100383 486.069 * * [simplify]: Extracting #13: cost 0 inf + 100303 486.095 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 486.095 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 486.095 * * * * [progress]: [ 1600 / 5906 ] simplifiying candidate # 486.096 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 486.096 * * [simplify]: iters left: 6 (52 enodes) 486.109 * * [simplify]: iters left: 5 (256 enodes) 486.165 * * [simplify]: Extracting #0: cost 1 inf + 0 486.166 * * [simplify]: Extracting #1: cost 3 inf + 0 486.166 * * [simplify]: Extracting #2: cost 10 inf + 0 486.166 * * [simplify]: Extracting #3: cost 74 inf + 0 486.166 * * [simplify]: Extracting #4: cost 137 inf + 1 486.167 * * [simplify]: Extracting #5: cost 186 inf + 248 486.167 * * [simplify]: Extracting #6: cost 268 inf + 1394 486.169 * * [simplify]: Extracting #7: cost 237 inf + 6104 486.172 * * [simplify]: Extracting #8: cost 175 inf + 19395 486.180 * * [simplify]: Extracting #9: cost 101 inf + 47706 486.191 * * [simplify]: Extracting #10: cost 54 inf + 68215 486.205 * * [simplify]: Extracting #11: cost 30 inf + 85474 486.246 * * [simplify]: Extracting #12: cost 5 inf + 113699 486.294 * * [simplify]: Extracting #13: cost 1 inf + 120079 486.343 * * [simplify]: Extracting #14: cost 0 inf + 122144 486.369 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 486.369 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 486.369 * * * * [progress]: [ 1601 / 5906 ] simplifiying candidate # 486.370 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 486.370 * * [simplify]: iters left: 6 (47 enodes) 486.388 * * [simplify]: iters left: 5 (228 enodes) 486.476 * * [simplify]: Extracting #0: cost 1 inf + 0 486.477 * * [simplify]: Extracting #1: cost 3 inf + 0 486.477 * * [simplify]: Extracting #2: cost 10 inf + 0 486.477 * * [simplify]: Extracting #3: cost 65 inf + 0 486.477 * * [simplify]: Extracting #4: cost 117 inf + 44 486.478 * * [simplify]: Extracting #5: cost 153 inf + 740 486.480 * * [simplify]: Extracting #6: cost 229 inf + 2770 486.483 * * [simplify]: Extracting #7: cost 221 inf + 4437 486.489 * * [simplify]: Extracting #8: cost 158 inf + 18833 486.506 * * [simplify]: Extracting #9: cost 66 inf + 51223 486.542 * * [simplify]: Extracting #10: cost 9 inf + 92787 486.580 * * [simplify]: Extracting #11: cost 1 inf + 98998 486.620 * * [simplify]: Extracting #12: cost 0 inf + 100783 486.660 * * [simplify]: Extracting #13: cost 0 inf + 100703 486.699 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 486.699 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 486.700 * * * * [progress]: [ 1602 / 5906 ] simplifiying candidate # 486.700 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 486.701 * * [simplify]: iters left: 6 (52 enodes) 486.731 * * [simplify]: iters left: 5 (255 enodes) 486.796 * * [simplify]: Extracting #0: cost 1 inf + 0 486.796 * * [simplify]: Extracting #1: cost 3 inf + 0 486.796 * * [simplify]: Extracting #2: cost 6 inf + 0 486.797 * * [simplify]: Extracting #3: cost 56 inf + 0 486.797 * * [simplify]: Extracting #4: cost 130 inf + 0 486.798 * * [simplify]: Extracting #5: cost 207 inf + 0 486.799 * * [simplify]: Extracting #6: cost 294 inf + 384 486.803 * * [simplify]: Extracting #7: cost 226 inf + 14518 486.815 * * [simplify]: Extracting #8: cost 135 inf + 41301 486.835 * * [simplify]: Extracting #9: cost 93 inf + 55489 486.857 * * [simplify]: Extracting #10: cost 57 inf + 67040 486.877 * * [simplify]: Extracting #11: cost 37 inf + 79900 486.899 * * [simplify]: Extracting #12: cost 4 inf + 117765 486.937 * * [simplify]: Extracting #13: cost 0 inf + 125025 486.964 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) 486.964 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 486.964 * * * * [progress]: [ 1603 / 5906 ] simplifiying candidate # 486.965 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 486.965 * * [simplify]: iters left: 6 (53 enodes) 486.982 * * [simplify]: iters left: 5 (264 enodes) 487.076 * * [simplify]: Extracting #0: cost 1 inf + 0 487.076 * * [simplify]: Extracting #1: cost 3 inf + 0 487.077 * * [simplify]: Extracting #2: cost 6 inf + 0 487.077 * * [simplify]: Extracting #3: cost 60 inf + 0 487.077 * * [simplify]: Extracting #4: cost 153 inf + 0 487.077 * * [simplify]: Extracting #5: cost 220 inf + 86 487.079 * * [simplify]: Extracting #6: cost 262 inf + 5421 487.082 * * [simplify]: Extracting #7: cost 201 inf + 17678 487.091 * * [simplify]: Extracting #8: cost 133 inf + 43584 487.110 * * [simplify]: Extracting #9: cost 94 inf + 58045 487.136 * * [simplify]: Extracting #10: cost 47 inf + 76107 487.178 * * [simplify]: Extracting #11: cost 3 inf + 123167 487.209 * * [simplify]: Extracting #12: cost 0 inf + 126482 487.251 * * [simplify]: Extracting #13: cost 0 inf + 126402 487.294 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 487.294 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 487.295 * * * * [progress]: [ 1604 / 5906 ] simplifiying candidate # 487.295 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 487.296 * * [simplify]: iters left: 6 (53 enodes) 487.321 * * [simplify]: iters left: 5 (264 enodes) 487.433 * * [simplify]: Extracting #0: cost 1 inf + 0 487.433 * * [simplify]: Extracting #1: cost 3 inf + 0 487.434 * * [simplify]: Extracting #2: cost 6 inf + 0 487.434 * * [simplify]: Extracting #3: cost 62 inf + 0 487.434 * * [simplify]: Extracting #4: cost 151 inf + 0 487.436 * * [simplify]: Extracting #5: cost 216 inf + 86 487.439 * * [simplify]: Extracting #6: cost 260 inf + 5176 487.449 * * [simplify]: Extracting #7: cost 180 inf + 27815 487.465 * * [simplify]: Extracting #8: cost 137 inf + 43593 487.478 * * [simplify]: Extracting #9: cost 94 inf + 58259 487.494 * * [simplify]: Extracting #10: cost 47 inf + 76259 487.520 * * [simplify]: Extracting #11: cost 11 inf + 111919 487.566 * * [simplify]: Extracting #12: cost 0 inf + 125434 487.592 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 487.593 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 487.593 * * * * [progress]: [ 1605 / 5906 ] simplifiying candidate # 487.593 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 487.594 * * [simplify]: iters left: 6 (47 enodes) 487.610 * * [simplify]: iters left: 5 (228 enodes) 487.703 * * [simplify]: Extracting #0: cost 1 inf + 0 487.703 * * [simplify]: Extracting #1: cost 3 inf + 0 487.703 * * [simplify]: Extracting #2: cost 6 inf + 0 487.703 * * [simplify]: Extracting #3: cost 54 inf + 0 487.704 * * [simplify]: Extracting #4: cost 119 inf + 0 487.705 * * [simplify]: Extracting #5: cost 165 inf + 86 487.706 * * [simplify]: Extracting #6: cost 236 inf + 1319 487.710 * * [simplify]: Extracting #7: cost 204 inf + 7245 487.719 * * [simplify]: Extracting #8: cost 123 inf + 29122 487.738 * * [simplify]: Extracting #9: cost 52 inf + 58576 487.762 * * [simplify]: Extracting #10: cost 31 inf + 69415 487.799 * * [simplify]: Extracting #11: cost 4 inf + 96397 487.825 * * [simplify]: Extracting #12: cost 1 inf + 101112 487.849 * * [simplify]: Extracting #13: cost 0 inf + 102937 487.873 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 487.873 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 487.874 * * * * [progress]: [ 1606 / 5906 ] simplifiying candidate # 487.874 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 487.875 * * [simplify]: iters left: 6 (52 enodes) 487.889 * * [simplify]: iters left: 5 (256 enodes) 487.957 * * [simplify]: Extracting #0: cost 1 inf + 0 487.957 * * [simplify]: Extracting #1: cost 3 inf + 0 487.957 * * [simplify]: Extracting #2: cost 10 inf + 0 487.957 * * [simplify]: Extracting #3: cost 74 inf + 0 487.957 * * [simplify]: Extracting #4: cost 136 inf + 42 487.958 * * [simplify]: Extracting #5: cost 186 inf + 248 487.959 * * [simplify]: Extracting #6: cost 251 inf + 2861 487.962 * * [simplify]: Extracting #7: cost 193 inf + 15358 487.968 * * [simplify]: Extracting #8: cost 138 inf + 34054 487.982 * * [simplify]: Extracting #9: cost 94 inf + 51368 487.998 * * [simplify]: Extracting #10: cost 54 inf + 65514 488.012 * * [simplify]: Extracting #11: cost 29 inf + 81619 488.048 * * [simplify]: Extracting #12: cost 5 inf + 109499 488.073 * * [simplify]: Extracting #13: cost 1 inf + 115799 488.097 * * [simplify]: Extracting #14: cost 0 inf + 117824 488.123 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 488.123 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 488.124 * * * * [progress]: [ 1607 / 5906 ] simplifiying candidate # 488.125 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 488.125 * * [simplify]: iters left: 6 (47 enodes) 488.149 * * [simplify]: iters left: 5 (228 enodes) 488.216 * * [simplify]: Extracting #0: cost 1 inf + 0 488.216 * * [simplify]: Extracting #1: cost 3 inf + 0 488.216 * * [simplify]: Extracting #2: cost 10 inf + 0 488.216 * * [simplify]: Extracting #3: cost 66 inf + 0 488.217 * * [simplify]: Extracting #4: cost 117 inf + 44 488.218 * * [simplify]: Extracting #5: cost 150 inf + 1106 488.224 * * [simplify]: Extracting #6: cost 222 inf + 3017 488.227 * * [simplify]: Extracting #7: cost 196 inf + 8007 488.237 * * [simplify]: Extracting #8: cost 118 inf + 29645 488.255 * * [simplify]: Extracting #9: cost 54 inf + 56275 488.285 * * [simplify]: Extracting #10: cost 10 inf + 88106 488.309 * * [simplify]: Extracting #11: cost 1 inf + 96518 488.333 * * [simplify]: Extracting #12: cost 0 inf + 98303 488.367 * * [simplify]: Extracting #13: cost 0 inf + 98223 488.388 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 488.388 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 488.388 * * * * [progress]: [ 1608 / 5906 ] simplifiying candidate # 488.389 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 488.389 * * [simplify]: iters left: 6 (52 enodes) 488.412 * * [simplify]: iters left: 5 (256 enodes) 488.496 * * [simplify]: Extracting #0: cost 1 inf + 0 488.496 * * [simplify]: Extracting #1: cost 3 inf + 0 488.496 * * [simplify]: Extracting #2: cost 10 inf + 0 488.496 * * [simplify]: Extracting #3: cost 74 inf + 0 488.497 * * [simplify]: Extracting #4: cost 137 inf + 1 488.498 * * [simplify]: Extracting #5: cost 186 inf + 248 488.499 * * [simplify]: Extracting #6: cost 255 inf + 2053 488.504 * * [simplify]: Extracting #7: cost 201 inf + 13048 488.515 * * [simplify]: Extracting #8: cost 142 inf + 31838 488.533 * * [simplify]: Extracting #9: cost 94 inf + 52248 488.555 * * [simplify]: Extracting #10: cost 54 inf + 66474 488.573 * * [simplify]: Extracting #11: cost 29 inf + 82579 488.596 * * [simplify]: Extracting #12: cost 5 inf + 110459 488.644 * * [simplify]: Extracting #13: cost 1 inf + 116759 488.670 * * [simplify]: Extracting #14: cost 0 inf + 118784 488.711 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 488.711 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 488.712 * * * * [progress]: [ 1609 / 5906 ] simplifiying candidate # 488.713 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 488.713 * * [simplify]: iters left: 6 (47 enodes) 488.738 * * [simplify]: iters left: 5 (228 enodes) 488.836 * * [simplify]: Extracting #0: cost 1 inf + 0 488.836 * * [simplify]: Extracting #1: cost 3 inf + 0 488.837 * * [simplify]: Extracting #2: cost 10 inf + 0 488.837 * * [simplify]: Extracting #3: cost 65 inf + 0 488.837 * * [simplify]: Extracting #4: cost 117 inf + 44 488.838 * * [simplify]: Extracting #5: cost 153 inf + 740 488.840 * * [simplify]: Extracting #6: cost 223 inf + 2855 488.844 * * [simplify]: Extracting #7: cost 197 inf + 7927 488.854 * * [simplify]: Extracting #8: cost 114 inf + 31648 488.870 * * [simplify]: Extracting #9: cost 49 inf + 60058 488.886 * * [simplify]: Extracting #10: cost 8 inf + 91782 488.909 * * [simplify]: Extracting #11: cost 1 inf + 96918 488.951 * * [simplify]: Extracting #12: cost 0 inf + 98703 488.987 * * [simplify]: Extracting #13: cost 0 inf + 98623 489.011 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 489.011 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 489.012 * * * * [progress]: [ 1610 / 5906 ] simplifiying candidate # 489.012 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 489.012 * * [simplify]: iters left: 6 (51 enodes) 489.026 * * [simplify]: iters left: 5 (256 enodes) 489.121 * * [simplify]: Extracting #0: cost 1 inf + 0 489.121 * * [simplify]: Extracting #1: cost 3 inf + 0 489.121 * * [simplify]: Extracting #2: cost 6 inf + 0 489.121 * * [simplify]: Extracting #3: cost 56 inf + 0 489.122 * * [simplify]: Extracting #4: cost 130 inf + 0 489.122 * * [simplify]: Extracting #5: cost 213 inf + 0 489.123 * * [simplify]: Extracting #6: cost 312 inf + 127 489.124 * * [simplify]: Extracting #7: cost 275 inf + 6513 489.128 * * [simplify]: Extracting #8: cost 191 inf + 20487 489.138 * * [simplify]: Extracting #9: cost 106 inf + 46778 489.162 * * [simplify]: Extracting #10: cost 59 inf + 68462 489.206 * * [simplify]: Extracting #11: cost 12 inf + 111182 489.249 * * [simplify]: Extracting #12: cost 1 inf + 125697 489.281 * * [simplify]: Extracting #13: cost 0 inf + 127722 489.328 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 489.328 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 489.329 * * * * [progress]: [ 1611 / 5906 ] simplifiying candidate # 489.329 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 489.330 * * [simplify]: iters left: 6 (52 enodes) 489.345 * * [simplify]: iters left: 5 (265 enodes) 489.432 * * [simplify]: Extracting #0: cost 1 inf + 0 489.432 * * [simplify]: Extracting #1: cost 3 inf + 0 489.432 * * [simplify]: Extracting #2: cost 6 inf + 0 489.432 * * [simplify]: Extracting #3: cost 60 inf + 0 489.432 * * [simplify]: Extracting #4: cost 153 inf + 0 489.433 * * [simplify]: Extracting #5: cost 224 inf + 169 489.435 * * [simplify]: Extracting #6: cost 285 inf + 5126 489.441 * * [simplify]: Extracting #7: cost 245 inf + 12901 489.447 * * [simplify]: Extracting #8: cost 150 inf + 33576 489.471 * * [simplify]: Extracting #9: cost 58 inf + 75917 489.499 * * [simplify]: Extracting #10: cost 17 inf + 113817 489.535 * * [simplify]: Extracting #11: cost 0 inf + 132859 489.589 * * [simplify]: Extracting #12: cost 0 inf + 132259 489.622 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 489.622 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 489.623 * * * * [progress]: [ 1612 / 5906 ] simplifiying candidate # 489.623 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 489.624 * * [simplify]: iters left: 6 (52 enodes) 489.650 * * [simplify]: iters left: 5 (265 enodes) 489.746 * * [simplify]: Extracting #0: cost 1 inf + 0 489.746 * * [simplify]: Extracting #1: cost 3 inf + 0 489.746 * * [simplify]: Extracting #2: cost 6 inf + 0 489.746 * * [simplify]: Extracting #3: cost 62 inf + 0 489.747 * * [simplify]: Extracting #4: cost 151 inf + 0 489.748 * * [simplify]: Extracting #5: cost 221 inf + 127 489.750 * * [simplify]: Extracting #6: cost 287 inf + 4192 489.756 * * [simplify]: Extracting #7: cost 239 inf + 13115 489.769 * * [simplify]: Extracting #8: cost 131 inf + 38883 489.782 * * [simplify]: Extracting #9: cost 64 inf + 68661 489.806 * * [simplify]: Extracting #10: cost 17 inf + 107428 489.860 * * [simplify]: Extracting #11: cost 0 inf + 127291 489.889 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 489.889 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 489.890 * * * * [progress]: [ 1613 / 5906 ] simplifiying candidate # 489.890 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 489.890 * * [simplify]: iters left: 6 (46 enodes) 489.908 * * [simplify]: iters left: 5 (229 enodes) 490.005 * * [simplify]: Extracting #0: cost 1 inf + 0 490.005 * * [simplify]: Extracting #1: cost 3 inf + 0 490.005 * * [simplify]: Extracting #2: cost 6 inf + 0 490.006 * * [simplify]: Extracting #3: cost 54 inf + 0 490.006 * * [simplify]: Extracting #4: cost 119 inf + 0 490.007 * * [simplify]: Extracting #5: cost 169 inf + 167 490.009 * * [simplify]: Extracting #6: cost 255 inf + 909 490.011 * * [simplify]: Extracting #7: cost 243 inf + 3710 490.019 * * [simplify]: Extracting #8: cost 144 inf + 22362 490.036 * * [simplify]: Extracting #9: cost 71 inf + 51378 490.049 * * [simplify]: Extracting #10: cost 29 inf + 75718 490.084 * * [simplify]: Extracting #11: cost 4 inf + 100050 490.125 * * [simplify]: Extracting #12: cost 0 inf + 105710 490.150 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) 490.150 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 490.151 * * * * [progress]: [ 1614 / 5906 ] simplifiying candidate # 490.151 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 490.152 * * [simplify]: iters left: 6 (51 enodes) 490.177 * * [simplify]: iters left: 5 (257 enodes) 490.257 * * [simplify]: Extracting #0: cost 1 inf + 0 490.257 * * [simplify]: Extracting #1: cost 3 inf + 0 490.257 * * [simplify]: Extracting #2: cost 10 inf + 0 490.257 * * [simplify]: Extracting #3: cost 74 inf + 0 490.257 * * [simplify]: Extracting #4: cost 136 inf + 42 490.258 * * [simplify]: Extracting #5: cost 192 inf + 249 490.259 * * [simplify]: Extracting #6: cost 278 inf + 1638 490.260 * * [simplify]: Extracting #7: cost 254 inf + 7263 490.266 * * [simplify]: Extracting #8: cost 139 inf + 34912 490.278 * * [simplify]: Extracting #9: cost 55 inf + 71253 490.318 * * [simplify]: Extracting #10: cost 5 inf + 112396 490.368 * * [simplify]: Extracting #11: cost 1 inf + 119336 490.421 * * [simplify]: Extracting #12: cost 0 inf + 121361 490.454 * [simplify]: Simplified to (sqrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 490.454 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 490.455 * * * * [progress]: [ 1615 / 5906 ] simplifiying candidate # 490.455 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 490.456 * * [simplify]: iters left: 6 (46 enodes) 490.472 * * [simplify]: iters left: 5 (229 enodes) 490.542 * * [simplify]: Extracting #0: cost 1 inf + 0 490.542 * * [simplify]: Extracting #1: cost 3 inf + 0 490.542 * * [simplify]: Extracting #2: cost 10 inf + 0 490.542 * * [simplify]: Extracting #3: cost 66 inf + 0 490.543 * * [simplify]: Extracting #4: cost 116 inf + 86 490.544 * * [simplify]: Extracting #5: cost 153 inf + 1472 490.546 * * [simplify]: Extracting #6: cost 240 inf + 2932 490.548 * * [simplify]: Extracting #7: cost 239 inf + 4153 490.557 * * [simplify]: Extracting #8: cost 137 inf + 25818 490.578 * * [simplify]: Extracting #9: cost 56 inf + 61830 490.613 * * [simplify]: Extracting #10: cost 18 inf + 88658 490.657 * * [simplify]: Extracting #11: cost 0 inf + 102440 490.704 * * [simplify]: Extracting #12: cost 0 inf + 102200 490.746 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) 490.746 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 490.747 * * * * [progress]: [ 1616 / 5906 ] simplifiying candidate # 490.748 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 490.748 * * [simplify]: iters left: 6 (51 enodes) 490.774 * * [simplify]: iters left: 5 (257 enodes) 490.844 * * [simplify]: Extracting #0: cost 1 inf + 0 490.844 * * [simplify]: Extracting #1: cost 3 inf + 0 490.844 * * [simplify]: Extracting #2: cost 10 inf + 0 490.845 * * [simplify]: Extracting #3: cost 74 inf + 0 490.845 * * [simplify]: Extracting #4: cost 136 inf + 42 490.846 * * [simplify]: Extracting #5: cost 192 inf + 248 490.847 * * [simplify]: Extracting #6: cost 278 inf + 1636 490.849 * * [simplify]: Extracting #7: cost 254 inf + 6941 490.854 * * [simplify]: Extracting #8: cost 139 inf + 35377 490.867 * * [simplify]: Extracting #9: cost 56 inf + 70787 490.910 * * [simplify]: Extracting #10: cost 7 inf + 111626 490.961 * * [simplify]: Extracting #11: cost 1 inf + 120296 490.991 * * [simplify]: Extracting #12: cost 0 inf + 122321 491.029 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 491.029 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 491.029 * * * * [progress]: [ 1617 / 5906 ] simplifiying candidate # 491.030 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 491.030 * * [simplify]: iters left: 6 (46 enodes) 491.042 * * [simplify]: iters left: 5 (229 enodes) 491.109 * * [simplify]: Extracting #0: cost 1 inf + 0 491.109 * * [simplify]: Extracting #1: cost 3 inf + 0 491.109 * * [simplify]: Extracting #2: cost 10 inf + 0 491.110 * * [simplify]: Extracting #3: cost 65 inf + 0 491.110 * * [simplify]: Extracting #4: cost 117 inf + 44 491.111 * * [simplify]: Extracting #5: cost 157 inf + 904 491.113 * * [simplify]: Extracting #6: cost 240 inf + 2932 491.116 * * [simplify]: Extracting #7: cost 239 inf + 4274 491.124 * * [simplify]: Extracting #8: cost 138 inf + 25433 491.144 * * [simplify]: Extracting #9: cost 55 inf + 63154 491.164 * * [simplify]: Extracting #10: cost 17 inf + 89723 491.201 * * [simplify]: Extracting #11: cost 0 inf + 102840 491.230 * * [simplify]: Extracting #12: cost 0 inf + 102600 491.255 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) 491.255 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 491.256 * * * * [progress]: [ 1618 / 5906 ] simplifiying candidate # 491.257 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 491.258 * * [simplify]: iters left: 6 (47 enodes) 491.283 * * [simplify]: iters left: 5 (232 enodes) 491.359 * * [simplify]: Extracting #0: cost 1 inf + 0 491.359 * * [simplify]: Extracting #1: cost 3 inf + 0 491.359 * * [simplify]: Extracting #2: cost 6 inf + 0 491.359 * * [simplify]: Extracting #3: cost 54 inf + 0 491.359 * * [simplify]: Extracting #4: cost 120 inf + 0 491.360 * * [simplify]: Extracting #5: cost 192 inf + 0 491.361 * * [simplify]: Extracting #6: cost 263 inf + 250 491.364 * * [simplify]: Extracting #7: cost 228 inf + 5051 491.370 * * [simplify]: Extracting #8: cost 146 inf + 20889 491.378 * * [simplify]: Extracting #9: cost 90 inf + 41118 491.388 * * [simplify]: Extracting #10: cost 45 inf + 62100 491.409 * * [simplify]: Extracting #11: cost 11 inf + 92590 491.434 * * [simplify]: Extracting #12: cost 0 inf + 105225 491.465 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))))) 491.465 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 491.465 * * * * [progress]: [ 1619 / 5906 ] simplifiying candidate # 491.466 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 491.466 * * [simplify]: iters left: 6 (48 enodes) 491.478 * * [simplify]: iters left: 5 (241 enodes) 491.541 * * [simplify]: Extracting #0: cost 1 inf + 0 491.542 * * [simplify]: Extracting #1: cost 3 inf + 0 491.542 * * [simplify]: Extracting #2: cost 6 inf + 0 491.546 * * [simplify]: Extracting #3: cost 58 inf + 0 491.546 * * [simplify]: Extracting #4: cost 143 inf + 0 491.547 * * [simplify]: Extracting #5: cost 201 inf + 331 491.550 * * [simplify]: Extracting #6: cost 228 inf + 7222 491.556 * * [simplify]: Extracting #7: cost 191 inf + 13832 491.562 * * [simplify]: Extracting #8: cost 141 inf + 22707 491.568 * * [simplify]: Extracting #9: cost 103 inf + 37241 491.581 * * [simplify]: Extracting #10: cost 36 inf + 74249 491.611 * * [simplify]: Extracting #11: cost 1 inf + 105897 491.634 * * [simplify]: Extracting #12: cost 0 inf + 107282 491.670 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) 491.670 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 491.671 * * * * [progress]: [ 1620 / 5906 ] simplifiying candidate # 491.673 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 491.673 * * [simplify]: iters left: 6 (48 enodes) 491.686 * * [simplify]: iters left: 5 (241 enodes) 491.759 * * [simplify]: Extracting #0: cost 1 inf + 0 491.759 * * [simplify]: Extracting #1: cost 3 inf + 0 491.759 * * [simplify]: Extracting #2: cost 6 inf + 0 491.759 * * [simplify]: Extracting #3: cost 60 inf + 0 491.760 * * [simplify]: Extracting #4: cost 141 inf + 0 491.761 * * [simplify]: Extracting #5: cost 197 inf + 252 491.764 * * [simplify]: Extracting #6: cost 235 inf + 5002 491.773 * * [simplify]: Extracting #7: cost 189 inf + 14200 491.778 * * [simplify]: Extracting #8: cost 138 inf + 23846 491.784 * * [simplify]: Extracting #9: cost 107 inf + 34356 491.794 * * [simplify]: Extracting #10: cost 53 inf + 60858 491.817 * * [simplify]: Extracting #11: cost 8 inf + 99914 491.860 * * [simplify]: Extracting #12: cost 0 inf + 107594 491.904 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) 491.904 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 491.905 * * * * [progress]: [ 1621 / 5906 ] simplifiying candidate # 491.906 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 491.906 * * [simplify]: iters left: 6 (42 enodes) 491.920 * * [simplify]: iters left: 5 (205 enodes) 491.987 * * [simplify]: Extracting #0: cost 1 inf + 0 491.987 * * [simplify]: Extracting #1: cost 3 inf + 0 491.987 * * [simplify]: Extracting #2: cost 6 inf + 0 491.988 * * [simplify]: Extracting #3: cost 52 inf + 0 491.988 * * [simplify]: Extracting #4: cost 109 inf + 0 491.989 * * [simplify]: Extracting #5: cost 149 inf + 85 491.990 * * [simplify]: Extracting #6: cost 205 inf + 1272 491.992 * * [simplify]: Extracting #7: cost 190 inf + 4401 491.999 * * [simplify]: Extracting #8: cost 112 inf + 23947 492.017 * * [simplify]: Extracting #9: cost 44 inf + 55609 492.047 * * [simplify]: Extracting #10: cost 4 inf + 81650 492.077 * * [simplify]: Extracting #11: cost 0 inf + 84613 492.106 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) 492.106 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 492.107 * * * * [progress]: [ 1622 / 5906 ] simplifiying candidate # 492.108 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 492.108 * * [simplify]: iters left: 6 (47 enodes) 492.120 * * [simplify]: iters left: 5 (233 enodes) 492.201 * * [simplify]: Extracting #0: cost 1 inf + 0 492.201 * * [simplify]: Extracting #1: cost 3 inf + 0 492.201 * * [simplify]: Extracting #2: cost 10 inf + 0 492.201 * * [simplify]: Extracting #3: cost 72 inf + 0 492.202 * * [simplify]: Extracting #4: cost 126 inf + 42 492.202 * * [simplify]: Extracting #5: cost 170 inf + 290 492.204 * * [simplify]: Extracting #6: cost 224 inf + 2968 492.207 * * [simplify]: Extracting #7: cost 198 inf + 7437 492.215 * * [simplify]: Extracting #8: cost 114 inf + 29091 492.234 * * [simplify]: Extracting #9: cost 37 inf + 67476 492.260 * * [simplify]: Extracting #10: cost 3 inf + 95629 492.281 * * [simplify]: Extracting #11: cost 0 inf + 99984 492.304 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) 492.304 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 492.305 * * * * [progress]: [ 1623 / 5906 ] simplifiying candidate # 492.305 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 492.305 * * [simplify]: iters left: 6 (42 enodes) 492.316 * * [simplify]: iters left: 5 (205 enodes) 492.359 * * [simplify]: Extracting #0: cost 1 inf + 0 492.359 * * [simplify]: Extracting #1: cost 3 inf + 0 492.359 * * [simplify]: Extracting #2: cost 10 inf + 0 492.359 * * [simplify]: Extracting #3: cost 64 inf + 0 492.359 * * [simplify]: Extracting #4: cost 107 inf + 44 492.360 * * [simplify]: Extracting #5: cost 136 inf + 1024 492.361 * * [simplify]: Extracting #6: cost 192 inf + 2932 492.362 * * [simplify]: Extracting #7: cost 185 inf + 5126 492.366 * * [simplify]: Extracting #8: cost 107 inf + 23175 492.380 * * [simplify]: Extracting #9: cost 36 inf + 61305 492.397 * * [simplify]: Extracting #10: cost 2 inf + 81994 492.424 * * [simplify]: Extracting #11: cost 0 inf + 82863 492.454 * * [simplify]: Extracting #12: cost 0 inf + 82583 492.480 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 492.480 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 492.481 * * * * [progress]: [ 1624 / 5906 ] simplifiying candidate # 492.482 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 492.482 * * [simplify]: iters left: 6 (47 enodes) 492.496 * * [simplify]: iters left: 5 (233 enodes) 492.549 * * [simplify]: Extracting #0: cost 1 inf + 0 492.549 * * [simplify]: Extracting #1: cost 3 inf + 0 492.549 * * [simplify]: Extracting #2: cost 10 inf + 0 492.549 * * [simplify]: Extracting #3: cost 72 inf + 0 492.549 * * [simplify]: Extracting #4: cost 126 inf + 42 492.550 * * [simplify]: Extracting #5: cost 168 inf + 373 492.551 * * [simplify]: Extracting #6: cost 216 inf + 4343 492.552 * * [simplify]: Extracting #7: cost 198 inf + 7617 492.557 * * [simplify]: Extracting #8: cost 116 inf + 28315 492.569 * * [simplify]: Extracting #9: cost 40 inf + 66084 492.587 * * [simplify]: Extracting #10: cost 3 inf + 96749 492.622 * * [simplify]: Extracting #11: cost 0 inf + 100944 492.642 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) 492.642 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 492.643 * * * * [progress]: [ 1625 / 5906 ] simplifiying candidate # 492.643 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 492.644 * * [simplify]: iters left: 6 (42 enodes) 492.656 * * [simplify]: iters left: 5 (205 enodes) 492.712 * * [simplify]: Extracting #0: cost 1 inf + 0 492.713 * * [simplify]: Extracting #1: cost 3 inf + 0 492.713 * * [simplify]: Extracting #2: cost 10 inf + 0 492.713 * * [simplify]: Extracting #3: cost 63 inf + 0 492.713 * * [simplify]: Extracting #4: cost 105 inf + 208 492.714 * * [simplify]: Extracting #5: cost 127 inf + 2282 492.716 * * [simplify]: Extracting #6: cost 192 inf + 2932 492.719 * * [simplify]: Extracting #7: cost 186 inf + 4964 492.725 * * [simplify]: Extracting #8: cost 108 inf + 22813 492.746 * * [simplify]: Extracting #9: cost 34 inf + 62833 492.765 * * [simplify]: Extracting #10: cost 2 inf + 82434 492.793 * * [simplify]: Extracting #11: cost 0 inf + 83063 492.811 * * [simplify]: Extracting #12: cost 0 inf + 82983 492.836 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 492.836 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 492.837 * * * * [progress]: [ 1626 / 5906 ] simplifiying candidate # 492.840 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 492.840 * * [simplify]: iters left: 6 (51 enodes) 492.865 * * [simplify]: iters left: 5 (252 enodes) 492.931 * * [simplify]: Extracting #0: cost 1 inf + 0 492.931 * * [simplify]: Extracting #1: cost 3 inf + 0 492.932 * * [simplify]: Extracting #2: cost 6 inf + 0 492.932 * * [simplify]: Extracting #3: cost 56 inf + 0 492.932 * * [simplify]: Extracting #4: cost 125 inf + 0 492.933 * * [simplify]: Extracting #5: cost 194 inf + 0 492.934 * * [simplify]: Extracting #6: cost 276 inf + 298 492.940 * * [simplify]: Extracting #7: cost 242 inf + 5596 492.946 * * [simplify]: Extracting #8: cost 162 inf + 18936 492.959 * * [simplify]: Extracting #9: cost 100 inf + 40468 492.978 * * [simplify]: Extracting #10: cost 56 inf + 59534 493.003 * * [simplify]: Extracting #11: cost 30 inf + 80637 493.027 * * [simplify]: Extracting #12: cost 5 inf + 104462 493.056 * * [simplify]: Extracting #13: cost 0 inf + 110227 493.086 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 493.086 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 493.087 * * * * [progress]: [ 1627 / 5906 ] simplifiying candidate # 493.087 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 493.087 * * [simplify]: iters left: 6 (52 enodes) 493.106 * * [simplify]: iters left: 5 (261 enodes) 493.203 * * [simplify]: Extracting #0: cost 1 inf + 0 493.203 * * [simplify]: Extracting #1: cost 3 inf + 0 493.204 * * [simplify]: Extracting #2: cost 6 inf + 0 493.204 * * [simplify]: Extracting #3: cost 60 inf + 0 493.204 * * [simplify]: Extracting #4: cost 148 inf + 0 493.204 * * [simplify]: Extracting #5: cost 207 inf + 85 493.206 * * [simplify]: Extracting #6: cost 254 inf + 3995 493.208 * * [simplify]: Extracting #7: cost 226 inf + 10347 493.211 * * [simplify]: Extracting #8: cost 170 inf + 19332 493.218 * * [simplify]: Extracting #9: cost 106 inf + 39646 493.235 * * [simplify]: Extracting #10: cost 26 inf + 90792 493.263 * * [simplify]: Extracting #11: cost 0 inf + 113404 493.288 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))))) 493.288 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 493.289 * * * * [progress]: [ 1628 / 5906 ] simplifiying candidate # 493.290 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 493.290 * * [simplify]: iters left: 6 (52 enodes) 493.320 * * [simplify]: iters left: 5 (261 enodes) 493.430 * * [simplify]: Extracting #0: cost 1 inf + 0 493.430 * * [simplify]: Extracting #1: cost 3 inf + 0 493.430 * * [simplify]: Extracting #2: cost 6 inf + 0 493.430 * * [simplify]: Extracting #3: cost 62 inf + 0 493.431 * * [simplify]: Extracting #4: cost 146 inf + 0 493.432 * * [simplify]: Extracting #5: cost 203 inf + 85 493.435 * * [simplify]: Extracting #6: cost 247 inf + 4600 493.444 * * [simplify]: Extracting #7: cost 223 inf + 10545 493.451 * * [simplify]: Extracting #8: cost 166 inf + 19432 493.463 * * [simplify]: Extracting #9: cost 109 inf + 36034 493.484 * * [simplify]: Extracting #10: cost 61 inf + 58986 493.519 * * [simplify]: Extracting #11: cost 13 inf + 96751 493.563 * * [simplify]: Extracting #12: cost 0 inf + 111076 493.606 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))))) 493.607 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 493.608 * * * * [progress]: [ 1629 / 5906 ] simplifiying candidate # 493.608 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 493.609 * * [simplify]: iters left: 6 (46 enodes) 493.633 * * [simplify]: iters left: 5 (225 enodes) 493.684 * * [simplify]: Extracting #0: cost 1 inf + 0 493.684 * * [simplify]: Extracting #1: cost 3 inf + 0 493.684 * * [simplify]: Extracting #2: cost 6 inf + 0 493.684 * * [simplify]: Extracting #3: cost 54 inf + 0 493.684 * * [simplify]: Extracting #4: cost 113 inf + 0 493.685 * * [simplify]: Extracting #5: cost 149 inf + 167 493.686 * * [simplify]: Extracting #6: cost 207 inf + 2450 493.687 * * [simplify]: Extracting #7: cost 202 inf + 4278 493.691 * * [simplify]: Extracting #8: cost 127 inf + 20068 493.702 * * [simplify]: Extracting #9: cost 59 inf + 47387 493.730 * * [simplify]: Extracting #10: cost 31 inf + 61904 493.761 * * [simplify]: Extracting #11: cost 4 inf + 83433 493.798 * * [simplify]: Extracting #12: cost 0 inf + 88893 493.822 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 493.822 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 493.823 * * * * [progress]: [ 1630 / 5906 ] simplifiying candidate # 493.823 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 493.824 * * [simplify]: iters left: 6 (51 enodes) 493.838 * * [simplify]: iters left: 5 (253 enodes) 493.929 * * [simplify]: Extracting #0: cost 1 inf + 0 493.929 * * [simplify]: Extracting #1: cost 3 inf + 0 493.929 * * [simplify]: Extracting #2: cost 10 inf + 0 493.930 * * [simplify]: Extracting #3: cost 71 inf + 0 493.930 * * [simplify]: Extracting #4: cost 133 inf + 42 493.931 * * [simplify]: Extracting #5: cost 175 inf + 249 493.933 * * [simplify]: Extracting #6: cost 243 inf + 1759 493.936 * * [simplify]: Extracting #7: cost 222 inf + 7390 493.943 * * [simplify]: Extracting #8: cost 141 inf + 23940 493.954 * * [simplify]: Extracting #9: cost 63 inf + 53381 493.969 * * [simplify]: Extracting #10: cost 21 inf + 85094 494.008 * * [simplify]: Extracting #11: cost 1 inf + 104554 494.050 * * [simplify]: Extracting #12: cost 0 inf + 106299 494.091 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 494.091 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 494.092 * * * * [progress]: [ 1631 / 5906 ] simplifiying candidate # 494.093 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 494.093 * * [simplify]: iters left: 6 (46 enodes) 494.118 * * [simplify]: iters left: 5 (225 enodes) 494.205 * * [simplify]: Extracting #0: cost 1 inf + 0 494.205 * * [simplify]: Extracting #1: cost 3 inf + 0 494.205 * * [simplify]: Extracting #2: cost 10 inf + 0 494.205 * * [simplify]: Extracting #3: cost 64 inf + 0 494.205 * * [simplify]: Extracting #4: cost 116 inf + 44 494.206 * * [simplify]: Extracting #5: cost 141 inf + 1026 494.207 * * [simplify]: Extracting #6: cost 208 inf + 2932 494.208 * * [simplify]: Extracting #7: cost 209 inf + 3992 494.211 * * [simplify]: Extracting #8: cost 152 inf + 13032 494.216 * * [simplify]: Extracting #9: cost 100 inf + 31129 494.226 * * [simplify]: Extracting #10: cost 47 inf + 52976 494.238 * * [simplify]: Extracting #11: cost 24 inf + 66165 494.255 * * [simplify]: Extracting #12: cost 1 inf + 87380 494.276 * * [simplify]: Extracting #13: cost 0 inf + 88845 494.300 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) 494.300 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 494.301 * * * * [progress]: [ 1632 / 5906 ] simplifiying candidate # 494.301 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 494.302 * * [simplify]: iters left: 6 (51 enodes) 494.323 * * [simplify]: iters left: 5 (253 enodes) 494.388 * * [simplify]: Extracting #0: cost 1 inf + 0 494.388 * * [simplify]: Extracting #1: cost 3 inf + 0 494.389 * * [simplify]: Extracting #2: cost 10 inf + 0 494.389 * * [simplify]: Extracting #3: cost 71 inf + 0 494.389 * * [simplify]: Extracting #4: cost 133 inf + 42 494.389 * * [simplify]: Extracting #5: cost 175 inf + 248 494.390 * * [simplify]: Extracting #6: cost 242 inf + 1920 494.392 * * [simplify]: Extracting #7: cost 223 inf + 6565 494.396 * * [simplify]: Extracting #8: cost 143 inf + 23788 494.405 * * [simplify]: Extracting #9: cost 64 inf + 53636 494.423 * * [simplify]: Extracting #10: cost 21 inf + 86054 494.449 * * [simplify]: Extracting #11: cost 1 inf + 105514 494.480 * * [simplify]: Extracting #12: cost 0 inf + 107259 494.522 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 494.522 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 494.523 * * * * [progress]: [ 1633 / 5906 ] simplifiying candidate # 494.524 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 494.524 * * [simplify]: iters left: 6 (46 enodes) 494.547 * * [simplify]: iters left: 5 (225 enodes) 494.613 * * [simplify]: Extracting #0: cost 1 inf + 0 494.613 * * [simplify]: Extracting #1: cost 3 inf + 0 494.613 * * [simplify]: Extracting #2: cost 10 inf + 0 494.613 * * [simplify]: Extracting #3: cost 63 inf + 0 494.614 * * [simplify]: Extracting #4: cost 116 inf + 44 494.614 * * [simplify]: Extracting #5: cost 142 inf + 904 494.615 * * [simplify]: Extracting #6: cost 208 inf + 2932 494.616 * * [simplify]: Extracting #7: cost 207 inf + 4355 494.619 * * [simplify]: Extracting #8: cost 151 inf + 13153 494.624 * * [simplify]: Extracting #9: cost 100 inf + 31427 494.634 * * [simplify]: Extracting #10: cost 46 inf + 53841 494.646 * * [simplify]: Extracting #11: cost 24 inf + 66565 494.664 * * [simplify]: Extracting #12: cost 1 inf + 87780 494.686 * * [simplify]: Extracting #13: cost 0 inf + 89245 494.707 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) 494.707 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 494.708 * * * * [progress]: [ 1634 / 5906 ] simplifiying candidate # 494.708 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 494.708 * * [simplify]: iters left: 6 (47 enodes) 494.720 * * [simplify]: iters left: 5 (228 enodes) 494.797 * * [simplify]: Extracting #0: cost 1 inf + 0 494.797 * * [simplify]: Extracting #1: cost 3 inf + 0 494.797 * * [simplify]: Extracting #2: cost 6 inf + 0 494.797 * * [simplify]: Extracting #3: cost 48 inf + 0 494.797 * * [simplify]: Extracting #4: cost 112 inf + 0 494.798 * * [simplify]: Extracting #5: cost 184 inf + 0 494.798 * * [simplify]: Extracting #6: cost 254 inf + 291 494.800 * * [simplify]: Extracting #7: cost 219 inf + 5051 494.805 * * [simplify]: Extracting #8: cost 132 inf + 20668 494.811 * * [simplify]: Extracting #9: cost 91 inf + 35620 494.821 * * [simplify]: Extracting #10: cost 40 inf + 60012 494.846 * * [simplify]: Extracting #11: cost 7 inf + 89496 494.867 * * [simplify]: Extracting #12: cost 0 inf + 98551 494.888 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) 494.888 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 494.888 * * * * [progress]: [ 1635 / 5906 ] simplifiying candidate # 494.889 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 494.889 * * [simplify]: iters left: 6 (48 enodes) 494.902 * * [simplify]: iters left: 5 (237 enodes) 494.973 * * [simplify]: Extracting #0: cost 1 inf + 0 494.973 * * [simplify]: Extracting #1: cost 3 inf + 0 494.973 * * [simplify]: Extracting #2: cost 6 inf + 0 494.973 * * [simplify]: Extracting #3: cost 52 inf + 0 494.974 * * [simplify]: Extracting #4: cost 135 inf + 0 494.975 * * [simplify]: Extracting #5: cost 194 inf + 290 494.978 * * [simplify]: Extracting #6: cost 218 inf + 7346 494.983 * * [simplify]: Extracting #7: cost 197 inf + 11926 494.990 * * [simplify]: Extracting #8: cost 136 inf + 22524 495.003 * * [simplify]: Extracting #9: cost 84 inf + 41609 495.039 * * [simplify]: Extracting #10: cost 11 inf + 91120 495.080 * * [simplify]: Extracting #11: cost 0 inf + 100328 495.120 * * [simplify]: Extracting #12: cost 0 inf + 100088 495.159 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) 495.159 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 495.160 * * * * [progress]: [ 1636 / 5906 ] simplifiying candidate # 495.161 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 495.161 * * [simplify]: iters left: 6 (48 enodes) 495.187 * * [simplify]: iters left: 5 (237 enodes) 495.285 * * [simplify]: Extracting #0: cost 1 inf + 0 495.285 * * [simplify]: Extracting #1: cost 3 inf + 0 495.285 * * [simplify]: Extracting #2: cost 6 inf + 0 495.286 * * [simplify]: Extracting #3: cost 54 inf + 0 495.286 * * [simplify]: Extracting #4: cost 133 inf + 0 495.287 * * [simplify]: Extracting #5: cost 190 inf + 210 495.290 * * [simplify]: Extracting #6: cost 218 inf + 6819 495.294 * * [simplify]: Extracting #7: cost 198 inf + 10915 495.302 * * [simplify]: Extracting #8: cost 142 inf + 20590 495.313 * * [simplify]: Extracting #9: cost 93 inf + 35840 495.340 * * [simplify]: Extracting #10: cost 20 inf + 80188 495.381 * * [simplify]: Extracting #11: cost 2 inf + 95510 495.419 * * [simplify]: Extracting #12: cost 1 inf + 97375 495.449 * * [simplify]: Extracting #13: cost 0 inf + 99240 495.472 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))))) 495.472 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 495.472 * * * * [progress]: [ 1637 / 5906 ] simplifiying candidate # 495.473 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 495.473 * * [simplify]: iters left: 6 (42 enodes) 495.484 * * [simplify]: iters left: 5 (202 enodes) 495.552 * * [simplify]: Extracting #0: cost 1 inf + 0 495.553 * * [simplify]: Extracting #1: cost 3 inf + 0 495.553 * * [simplify]: Extracting #2: cost 6 inf + 0 495.553 * * [simplify]: Extracting #3: cost 46 inf + 0 495.553 * * [simplify]: Extracting #4: cost 101 inf + 0 495.553 * * [simplify]: Extracting #5: cost 141 inf + 85 495.554 * * [simplify]: Extracting #6: cost 196 inf + 1554 495.555 * * [simplify]: Extracting #7: cost 182 inf + 4521 495.557 * * [simplify]: Extracting #8: cost 137 inf + 10332 495.562 * * [simplify]: Extracting #9: cost 85 inf + 27224 495.576 * * [simplify]: Extracting #10: cost 22 inf + 61845 495.600 * * [simplify]: Extracting #11: cost 0 inf + 78379 495.636 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) 495.636 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 495.637 * * * * [progress]: [ 1638 / 5906 ] simplifiying candidate # 495.637 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 495.638 * * [simplify]: iters left: 6 (47 enodes) 495.662 * * [simplify]: iters left: 5 (230 enodes) 495.756 * * [simplify]: Extracting #0: cost 1 inf + 0 495.756 * * [simplify]: Extracting #1: cost 3 inf + 0 495.756 * * [simplify]: Extracting #2: cost 10 inf + 0 495.756 * * [simplify]: Extracting #3: cost 62 inf + 0 495.757 * * [simplify]: Extracting #4: cost 115 inf + 42 495.757 * * [simplify]: Extracting #5: cost 158 inf + 332 495.759 * * [simplify]: Extracting #6: cost 211 inf + 3051 495.762 * * [simplify]: Extracting #7: cost 200 inf + 6092 495.771 * * [simplify]: Extracting #8: cost 115 inf + 23916 495.787 * * [simplify]: Extracting #9: cost 50 inf + 49985 495.811 * * [simplify]: Extracting #10: cost 15 inf + 76175 495.837 * * [simplify]: Extracting #11: cost 0 inf + 91075 495.859 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 495.859 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 495.859 * * * * [progress]: [ 1639 / 5906 ] simplifiying candidate # 495.860 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 495.860 * * [simplify]: iters left: 6 (42 enodes) 495.877 * * [simplify]: iters left: 5 (203 enodes) 495.926 * * [simplify]: Extracting #0: cost 1 inf + 0 495.926 * * [simplify]: Extracting #1: cost 3 inf + 0 495.926 * * [simplify]: Extracting #2: cost 10 inf + 0 495.926 * * [simplify]: Extracting #3: cost 54 inf + 0 495.926 * * [simplify]: Extracting #4: cost 95 inf + 86 495.927 * * [simplify]: Extracting #5: cost 121 inf + 1392 495.928 * * [simplify]: Extracting #6: cost 181 inf + 2932 495.929 * * [simplify]: Extracting #7: cost 177 inf + 4440 495.933 * * [simplify]: Extracting #8: cost 94 inf + 22968 495.942 * * [simplify]: Extracting #9: cost 37 inf + 48540 495.955 * * [simplify]: Extracting #10: cost 5 inf + 69602 495.970 * * [simplify]: Extracting #11: cost 1 inf + 72569 495.986 * * [simplify]: Extracting #12: cost 0 inf + 74074 496.003 * * [simplify]: Extracting #13: cost 0 inf + 74034 496.024 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 496.024 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 496.025 * * * * [progress]: [ 1640 / 5906 ] simplifiying candidate # 496.026 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 496.026 * * [simplify]: iters left: 6 (47 enodes) 496.051 * * [simplify]: iters left: 5 (230 enodes) 496.145 * * [simplify]: Extracting #0: cost 1 inf + 0 496.145 * * [simplify]: Extracting #1: cost 3 inf + 0 496.146 * * [simplify]: Extracting #2: cost 10 inf + 0 496.146 * * [simplify]: Extracting #3: cost 62 inf + 0 496.146 * * [simplify]: Extracting #4: cost 115 inf + 42 496.147 * * [simplify]: Extracting #5: cost 158 inf + 332 496.150 * * [simplify]: Extracting #6: cost 207 inf + 3778 496.153 * * [simplify]: Extracting #7: cost 199 inf + 6173 496.160 * * [simplify]: Extracting #8: cost 114 inf + 24457 496.175 * * [simplify]: Extracting #9: cost 50 inf + 49985 496.201 * * [simplify]: Extracting #10: cost 15 inf + 76735 496.236 * * [simplify]: Extracting #11: cost 0 inf + 91875 496.271 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 496.271 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 496.272 * * * * [progress]: [ 1641 / 5906 ] simplifiying candidate # 496.272 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 496.273 * * [simplify]: iters left: 6 (42 enodes) 496.297 * * [simplify]: iters left: 5 (203 enodes) 496.374 * * [simplify]: Extracting #0: cost 1 inf + 0 496.374 * * [simplify]: Extracting #1: cost 3 inf + 0 496.374 * * [simplify]: Extracting #2: cost 10 inf + 0 496.374 * * [simplify]: Extracting #3: cost 53 inf + 0 496.375 * * [simplify]: Extracting #4: cost 95 inf + 86 496.375 * * [simplify]: Extracting #5: cost 122 inf + 1350 496.377 * * [simplify]: Extracting #6: cost 181 inf + 2932 496.380 * * [simplify]: Extracting #7: cost 176 inf + 4602 496.384 * * [simplify]: Extracting #8: cost 94 inf + 23670 496.392 * * [simplify]: Extracting #9: cost 37 inf + 48460 496.408 * * [simplify]: Extracting #10: cost 5 inf + 69922 496.439 * * [simplify]: Extracting #11: cost 1 inf + 72889 496.468 * * [simplify]: Extracting #12: cost 0 inf + 74394 496.496 * * [simplify]: Extracting #13: cost 0 inf + 74354 496.511 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 496.511 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 496.512 * * * * [progress]: [ 1642 / 5906 ] simplifiying candidate # 496.512 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 496.513 * * [simplify]: iters left: 6 (52 enodes) 496.525 * * [simplify]: iters left: 5 (254 enodes) 496.588 * * [simplify]: Extracting #0: cost 1 inf + 0 496.588 * * [simplify]: Extracting #1: cost 3 inf + 0 496.588 * * [simplify]: Extracting #2: cost 6 inf + 0 496.588 * * [simplify]: Extracting #3: cost 56 inf + 0 496.588 * * [simplify]: Extracting #4: cost 130 inf + 0 496.589 * * [simplify]: Extracting #5: cost 210 inf + 0 496.591 * * [simplify]: Extracting #6: cost 292 inf + 934 496.594 * * [simplify]: Extracting #7: cost 240 inf + 8824 496.601 * * [simplify]: Extracting #8: cost 167 inf + 23513 496.613 * * [simplify]: Extracting #9: cost 114 inf + 39638 496.634 * * [simplify]: Extracting #10: cost 59 inf + 63884 496.657 * * [simplify]: Extracting #11: cost 39 inf + 78241 496.682 * * [simplify]: Extracting #12: cost 5 inf + 118051 496.731 * * [simplify]: Extracting #13: cost 1 inf + 123591 496.780 * * [simplify]: Extracting #14: cost 0 inf + 125656 496.812 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) 496.813 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 496.813 * * * * [progress]: [ 1643 / 5906 ] simplifiying candidate # 496.813 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 496.814 * * [simplify]: iters left: 6 (53 enodes) 496.830 * * [simplify]: iters left: 5 (263 enodes) 496.932 * * [simplify]: Extracting #0: cost 1 inf + 0 496.932 * * [simplify]: Extracting #1: cost 3 inf + 0 496.932 * * [simplify]: Extracting #2: cost 6 inf + 0 496.932 * * [simplify]: Extracting #3: cost 60 inf + 0 496.933 * * [simplify]: Extracting #4: cost 153 inf + 0 496.934 * * [simplify]: Extracting #5: cost 224 inf + 44 496.936 * * [simplify]: Extracting #6: cost 274 inf + 4236 496.945 * * [simplify]: Extracting #7: cost 232 inf + 10847 496.953 * * [simplify]: Extracting #8: cost 172 inf + 21328 496.967 * * [simplify]: Extracting #9: cost 110 inf + 44744 496.990 * * [simplify]: Extracting #10: cost 58 inf + 68151 497.011 * * [simplify]: Extracting #11: cost 15 inf + 110698 497.044 * * [simplify]: Extracting #12: cost 0 inf + 128793 497.076 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 497.076 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 497.077 * * * * [progress]: [ 1644 / 5906 ] simplifiying candidate # 497.078 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 497.078 * * [simplify]: iters left: 6 (53 enodes) 497.091 * * [simplify]: iters left: 5 (263 enodes) 497.176 * * [simplify]: Extracting #0: cost 1 inf + 0 497.176 * * [simplify]: Extracting #1: cost 3 inf + 0 497.176 * * [simplify]: Extracting #2: cost 6 inf + 0 497.176 * * [simplify]: Extracting #3: cost 62 inf + 0 497.177 * * [simplify]: Extracting #4: cost 151 inf + 0 497.178 * * [simplify]: Extracting #5: cost 220 inf + 44 497.180 * * [simplify]: Extracting #6: cost 267 inf + 4600 497.186 * * [simplify]: Extracting #7: cost 227 inf + 11729 497.194 * * [simplify]: Extracting #8: cost 173 inf + 20597 497.208 * * [simplify]: Extracting #9: cost 110 inf + 44155 497.236 * * [simplify]: Extracting #10: cost 40 inf + 80833 497.261 * * [simplify]: Extracting #11: cost 11 inf + 111510 497.300 * * [simplify]: Extracting #12: cost 0 inf + 126225 497.352 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 497.352 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 497.353 * * * * [progress]: [ 1645 / 5906 ] simplifiying candidate # 497.354 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 497.354 * * [simplify]: iters left: 6 (47 enodes) 497.379 * * [simplify]: iters left: 5 (227 enodes) 497.451 * * [simplify]: Extracting #0: cost 1 inf + 0 497.451 * * [simplify]: Extracting #1: cost 3 inf + 0 497.451 * * [simplify]: Extracting #2: cost 6 inf + 0 497.451 * * [simplify]: Extracting #3: cost 54 inf + 0 497.451 * * [simplify]: Extracting #4: cost 119 inf + 0 497.452 * * [simplify]: Extracting #5: cost 164 inf + 452 497.453 * * [simplify]: Extracting #6: cost 226 inf + 2853 497.457 * * [simplify]: Extracting #7: cost 217 inf + 4522 497.463 * * [simplify]: Extracting #8: cost 146 inf + 19960 497.478 * * [simplify]: Extracting #9: cost 80 inf + 41228 497.507 * * [simplify]: Extracting #10: cost 20 inf + 86859 497.545 * * [simplify]: Extracting #11: cost 1 inf + 101379 497.575 * * [simplify]: Extracting #12: cost 0 inf + 103244 497.599 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))))) (* (+ phi1 phi2) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) 497.599 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))))) (* (+ phi1 phi2) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 497.600 * * * * [progress]: [ 1646 / 5906 ] simplifiying candidate # 497.601 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 497.601 * * [simplify]: iters left: 6 (52 enodes) 497.622 * * [simplify]: iters left: 5 (255 enodes) 497.702 * * [simplify]: Extracting #0: cost 1 inf + 0 497.702 * * [simplify]: Extracting #1: cost 3 inf + 0 497.702 * * [simplify]: Extracting #2: cost 10 inf + 0 497.703 * * [simplify]: Extracting #3: cost 74 inf + 0 497.703 * * [simplify]: Extracting #4: cost 137 inf + 1 497.704 * * [simplify]: Extracting #5: cost 190 inf + 207 497.705 * * [simplify]: Extracting #6: cost 252 inf + 3375 497.707 * * [simplify]: Extracting #7: cost 227 inf + 7236 497.710 * * [simplify]: Extracting #8: cost 168 inf + 17857 497.720 * * [simplify]: Extracting #9: cost 101 inf + 42698 497.730 * * [simplify]: Extracting #10: cost 51 inf + 66662 497.758 * * [simplify]: Extracting #11: cost 7 inf + 108920 497.789 * * [simplify]: Extracting #12: cost 0 inf + 117975 497.813 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 497.813 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 497.814 * * * * [progress]: [ 1647 / 5906 ] simplifiying candidate # 497.814 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 497.815 * * [simplify]: iters left: 6 (47 enodes) 497.836 * * [simplify]: iters left: 5 (227 enodes) 497.892 * * [simplify]: Extracting #0: cost 1 inf + 0 497.892 * * [simplify]: Extracting #1: cost 3 inf + 0 497.892 * * [simplify]: Extracting #2: cost 10 inf + 0 497.892 * * [simplify]: Extracting #3: cost 66 inf + 0 497.892 * * [simplify]: Extracting #4: cost 117 inf + 44 497.893 * * [simplify]: Extracting #5: cost 152 inf + 1348 497.894 * * [simplify]: Extracting #6: cost 223 inf + 2972 497.896 * * [simplify]: Extracting #7: cost 214 inf + 4642 497.899 * * [simplify]: Extracting #8: cost 144 inf + 18299 497.907 * * [simplify]: Extracting #9: cost 71 inf + 44944 497.925 * * [simplify]: Extracting #10: cost 12 inf + 85958 497.947 * * [simplify]: Extracting #11: cost 1 inf + 97109 497.970 * * [simplify]: Extracting #12: cost 0 inf + 98854 497.989 * * [simplify]: Extracting #13: cost 0 inf + 98774 498.022 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)))) 498.022 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 498.023 * * * * [progress]: [ 1648 / 5906 ] simplifiying candidate # 498.024 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 498.024 * * [simplify]: iters left: 6 (52 enodes) 498.051 * * [simplify]: iters left: 5 (255 enodes) 498.153 * * [simplify]: Extracting #0: cost 1 inf + 0 498.153 * * [simplify]: Extracting #1: cost 3 inf + 0 498.153 * * [simplify]: Extracting #2: cost 10 inf + 0 498.153 * * [simplify]: Extracting #3: cost 74 inf + 0 498.154 * * [simplify]: Extracting #4: cost 137 inf + 1 498.155 * * [simplify]: Extracting #5: cost 190 inf + 207 498.157 * * [simplify]: Extracting #6: cost 257 inf + 2125 498.160 * * [simplify]: Extracting #7: cost 230 inf + 6390 498.166 * * [simplify]: Extracting #8: cost 167 inf + 18139 498.179 * * [simplify]: Extracting #9: cost 105 inf + 41799 498.199 * * [simplify]: Extracting #10: cost 51 inf + 67462 498.219 * * [simplify]: Extracting #11: cost 7 inf + 109880 498.243 * * [simplify]: Extracting #12: cost 0 inf + 118935 498.267 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 498.267 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 498.268 * * * * [progress]: [ 1649 / 5906 ] simplifiying candidate # 498.268 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 498.268 * * [simplify]: iters left: 6 (47 enodes) 498.280 * * [simplify]: iters left: 5 (227 enodes) 498.329 * * [simplify]: Extracting #0: cost 1 inf + 0 498.329 * * [simplify]: Extracting #1: cost 3 inf + 0 498.329 * * [simplify]: Extracting #2: cost 10 inf + 0 498.329 * * [simplify]: Extracting #3: cost 65 inf + 0 498.330 * * [simplify]: Extracting #4: cost 117 inf + 44 498.331 * * [simplify]: Extracting #5: cost 156 inf + 780 498.333 * * [simplify]: Extracting #6: cost 225 inf + 2568 498.336 * * [simplify]: Extracting #7: cost 213 inf + 4804 498.342 * * [simplify]: Extracting #8: cost 147 inf + 17653 498.356 * * [simplify]: Extracting #9: cost 72 inf + 44620 498.380 * * [simplify]: Extracting #10: cost 15 inf + 83925 498.402 * * [simplify]: Extracting #11: cost 1 inf + 97509 498.442 * * [simplify]: Extracting #12: cost 0 inf + 99254 498.473 * * [simplify]: Extracting #13: cost 0 inf + 99174 498.493 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)))) 498.493 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 498.494 * * * * [progress]: [ 1650 / 5906 ] simplifiying candidate # 498.494 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 498.494 * * [simplify]: iters left: 6 (52 enodes) 498.518 * * [simplify]: iters left: 5 (253 enodes) 498.600 * * [simplify]: Extracting #0: cost 1 inf + 0 498.600 * * [simplify]: Extracting #1: cost 3 inf + 0 498.600 * * [simplify]: Extracting #2: cost 6 inf + 0 498.600 * * [simplify]: Extracting #3: cost 56 inf + 0 498.601 * * [simplify]: Extracting #4: cost 130 inf + 0 498.602 * * [simplify]: Extracting #5: cost 210 inf + 0 498.603 * * [simplify]: Extracting #6: cost 288 inf + 213 498.608 * * [simplify]: Extracting #7: cost 216 inf + 12046 498.614 * * [simplify]: Extracting #8: cost 124 inf + 39171 498.625 * * [simplify]: Extracting #9: cost 55 inf + 65999 498.655 * * [simplify]: Extracting #10: cost 9 inf + 110469 498.683 * * [simplify]: Extracting #11: cost 1 inf + 120989 498.719 * * [simplify]: Extracting #12: cost 0 inf + 123014 498.764 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 498.764 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 498.765 * * * * [progress]: [ 1651 / 5906 ] simplifiying candidate # 498.765 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 498.766 * * [simplify]: iters left: 6 (53 enodes) 498.794 * * [simplify]: iters left: 5 (262 enodes) 498.876 * * [simplify]: Extracting #0: cost 1 inf + 0 498.876 * * [simplify]: Extracting #1: cost 3 inf + 0 498.876 * * [simplify]: Extracting #2: cost 6 inf + 0 498.877 * * [simplify]: Extracting #3: cost 60 inf + 0 498.877 * * [simplify]: Extracting #4: cost 153 inf + 0 498.878 * * [simplify]: Extracting #5: cost 223 inf + 85 498.881 * * [simplify]: Extracting #6: cost 251 inf + 6549 498.888 * * [simplify]: Extracting #7: cost 195 inf + 17525 498.902 * * [simplify]: Extracting #8: cost 148 inf + 29890 498.920 * * [simplify]: Extracting #9: cost 93 inf + 54001 498.934 * * [simplify]: Extracting #10: cost 49 inf + 73286 498.955 * * [simplify]: Extracting #11: cost 11 inf + 112476 499.002 * * [simplify]: Extracting #12: cost 0 inf + 125831 499.041 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 499.041 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 499.042 * * * * [progress]: [ 1652 / 5906 ] simplifiying candidate # 499.042 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 499.042 * * [simplify]: iters left: 6 (53 enodes) 499.057 * * [simplify]: iters left: 5 (262 enodes) 499.133 * * [simplify]: Extracting #0: cost 1 inf + 0 499.133 * * [simplify]: Extracting #1: cost 3 inf + 0 499.133 * * [simplify]: Extracting #2: cost 6 inf + 0 499.133 * * [simplify]: Extracting #3: cost 62 inf + 0 499.134 * * [simplify]: Extracting #4: cost 151 inf + 0 499.135 * * [simplify]: Extracting #5: cost 220 inf + 44 499.140 * * [simplify]: Extracting #6: cost 260 inf + 4845 499.146 * * [simplify]: Extracting #7: cost 193 inf + 16597 499.154 * * [simplify]: Extracting #8: cost 149 inf + 29500 499.163 * * [simplify]: Extracting #9: cost 92 inf + 52537 499.175 * * [simplify]: Extracting #10: cost 50 inf + 71693 499.204 * * [simplify]: Extracting #11: cost 13 inf + 108858 499.233 * * [simplify]: Extracting #12: cost 0 inf + 124863 499.268 * [simplify]: Simplified to (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 499.268 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 499.269 * * * * [progress]: [ 1653 / 5906 ] simplifiying candidate # 499.270 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 499.271 * * [simplify]: iters left: 6 (47 enodes) 499.294 * * [simplify]: iters left: 5 (226 enodes) 499.359 * * [simplify]: Extracting #0: cost 1 inf + 0 499.359 * * [simplify]: Extracting #1: cost 3 inf + 0 499.359 * * [simplify]: Extracting #2: cost 6 inf + 0 499.359 * * [simplify]: Extracting #3: cost 54 inf + 0 499.360 * * [simplify]: Extracting #4: cost 119 inf + 0 499.360 * * [simplify]: Extracting #5: cost 168 inf + 44 499.361 * * [simplify]: Extracting #6: cost 225 inf + 1644 499.363 * * [simplify]: Extracting #7: cost 189 inf + 7495 499.368 * * [simplify]: Extracting #8: cost 149 inf + 15147 499.373 * * [simplify]: Extracting #9: cost 112 inf + 29490 499.383 * * [simplify]: Extracting #10: cost 46 inf + 57513 499.409 * * [simplify]: Extracting #11: cost 4 inf + 93662 499.436 * * [simplify]: Extracting #12: cost 1 inf + 98457 499.458 * * [simplify]: Extracting #13: cost 0 inf + 100322 499.496 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (+ phi1 phi2) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ phi1 phi2))))) 499.496 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (+ phi1 phi2) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 499.497 * * * * [progress]: [ 1654 / 5906 ] simplifiying candidate # 499.497 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 499.497 * * [simplify]: iters left: 6 (52 enodes) 499.512 * * [simplify]: iters left: 5 (254 enodes) 499.574 * * [simplify]: Extracting #0: cost 1 inf + 0 499.574 * * [simplify]: Extracting #1: cost 3 inf + 0 499.575 * * [simplify]: Extracting #2: cost 10 inf + 0 499.575 * * [simplify]: Extracting #3: cost 74 inf + 0 499.575 * * [simplify]: Extracting #4: cost 137 inf + 1 499.576 * * [simplify]: Extracting #5: cost 190 inf + 207 499.578 * * [simplify]: Extracting #6: cost 235 inf + 4358 499.584 * * [simplify]: Extracting #7: cost 180 inf + 17381 499.598 * * [simplify]: Extracting #8: cost 117 inf + 38643 499.609 * * [simplify]: Extracting #9: cost 52 inf + 65593 499.626 * * [simplify]: Extracting #10: cost 12 inf + 101273 499.659 * * [simplify]: Extracting #11: cost 1 inf + 113868 499.687 * * [simplify]: Extracting #12: cost 0 inf + 115893 499.723 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 499.723 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 499.724 * * * * [progress]: [ 1655 / 5906 ] simplifiying candidate # 499.724 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 499.725 * * [simplify]: iters left: 6 (47 enodes) 499.740 * * [simplify]: iters left: 5 (226 enodes) 499.794 * * [simplify]: Extracting #0: cost 1 inf + 0 499.794 * * [simplify]: Extracting #1: cost 3 inf + 0 499.794 * * [simplify]: Extracting #2: cost 10 inf + 0 499.794 * * [simplify]: Extracting #3: cost 66 inf + 0 499.795 * * [simplify]: Extracting #4: cost 117 inf + 44 499.795 * * [simplify]: Extracting #5: cost 152 inf + 1388 499.796 * * [simplify]: Extracting #6: cost 216 inf + 3057 499.798 * * [simplify]: Extracting #7: cost 187 inf + 7457 499.802 * * [simplify]: Extracting #8: cost 142 inf + 20891 499.811 * * [simplify]: Extracting #9: cost 96 inf + 39399 499.821 * * [simplify]: Extracting #10: cost 34 inf + 62975 499.837 * * [simplify]: Extracting #11: cost 4 inf + 89832 499.858 * * [simplify]: Extracting #12: cost 0 inf + 96212 499.882 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 499.882 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 499.882 * * * * [progress]: [ 1656 / 5906 ] simplifiying candidate # 499.883 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 499.883 * * [simplify]: iters left: 6 (52 enodes) 499.896 * * [simplify]: iters left: 5 (254 enodes) 499.967 * * [simplify]: Extracting #0: cost 1 inf + 0 499.967 * * [simplify]: Extracting #1: cost 3 inf + 0 499.967 * * [simplify]: Extracting #2: cost 10 inf + 0 499.967 * * [simplify]: Extracting #3: cost 74 inf + 0 499.968 * * [simplify]: Extracting #4: cost 137 inf + 1 499.968 * * [simplify]: Extracting #5: cost 190 inf + 207 499.971 * * [simplify]: Extracting #6: cost 236 inf + 4797 499.977 * * [simplify]: Extracting #7: cost 177 inf + 19711 499.990 * * [simplify]: Extracting #8: cost 116 inf + 39925 500.002 * * [simplify]: Extracting #9: cost 52 inf + 66553 500.022 * * [simplify]: Extracting #10: cost 12 inf + 102233 500.064 * * [simplify]: Extracting #11: cost 1 inf + 114828 500.108 * * [simplify]: Extracting #12: cost 0 inf + 116853 500.150 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 500.150 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 500.151 * * * * [progress]: [ 1657 / 5906 ] simplifiying candidate # 500.151 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 500.152 * * [simplify]: iters left: 6 (47 enodes) 500.171 * * [simplify]: iters left: 5 (226 enodes) 500.230 * * [simplify]: Extracting #0: cost 1 inf + 0 500.230 * * [simplify]: Extracting #1: cost 3 inf + 0 500.230 * * [simplify]: Extracting #2: cost 10 inf + 0 500.230 * * [simplify]: Extracting #3: cost 65 inf + 0 500.231 * * [simplify]: Extracting #4: cost 116 inf + 86 500.232 * * [simplify]: Extracting #5: cost 149 inf + 1634 500.234 * * [simplify]: Extracting #6: cost 216 inf + 3017 500.237 * * [simplify]: Extracting #7: cost 186 inf + 7943 500.245 * * [simplify]: Extracting #8: cost 139 inf + 22339 500.260 * * [simplify]: Extracting #9: cost 97 inf + 38412 500.279 * * [simplify]: Extracting #10: cost 41 inf + 58840 500.310 * * [simplify]: Extracting #11: cost 14 inf + 82462 500.346 * * [simplify]: Extracting #12: cost 0 inf + 97972 500.382 * * [simplify]: Extracting #13: cost 0 inf + 97732 500.401 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)))) 500.401 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 500.402 * * * * [progress]: [ 1658 / 5906 ] simplifiying candidate # 500.402 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 500.402 * * [simplify]: iters left: 6 (52 enodes) 500.418 * * [simplify]: iters left: 5 (254 enodes) 500.495 * * [simplify]: Extracting #0: cost 1 inf + 0 500.495 * * [simplify]: Extracting #1: cost 3 inf + 0 500.495 * * [simplify]: Extracting #2: cost 6 inf + 0 500.495 * * [simplify]: Extracting #3: cost 56 inf + 0 500.496 * * [simplify]: Extracting #4: cost 130 inf + 0 500.497 * * [simplify]: Extracting #5: cost 210 inf + 0 500.498 * * [simplify]: Extracting #6: cost 292 inf + 934 500.501 * * [simplify]: Extracting #7: cost 241 inf + 8702 500.509 * * [simplify]: Extracting #8: cost 169 inf + 22587 500.522 * * [simplify]: Extracting #9: cost 114 inf + 39638 500.548 * * [simplify]: Extracting #10: cost 59 inf + 64204 500.561 * * [simplify]: Extracting #11: cost 39 inf + 78641 500.588 * * [simplify]: Extracting #12: cost 5 inf + 119571 500.614 * * [simplify]: Extracting #13: cost 1 inf + 125271 500.662 * * [simplify]: Extracting #14: cost 0 inf + 127376 500.694 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) 500.695 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 500.695 * * * * [progress]: [ 1659 / 5906 ] simplifiying candidate # 500.695 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 500.696 * * [simplify]: iters left: 6 (53 enodes) 500.709 * * [simplify]: iters left: 5 (263 enodes) 500.792 * * [simplify]: Extracting #0: cost 1 inf + 0 500.792 * * [simplify]: Extracting #1: cost 3 inf + 0 500.792 * * [simplify]: Extracting #2: cost 6 inf + 0 500.792 * * [simplify]: Extracting #3: cost 60 inf + 0 500.793 * * [simplify]: Extracting #4: cost 153 inf + 0 500.794 * * [simplify]: Extracting #5: cost 224 inf + 44 500.796 * * [simplify]: Extracting #6: cost 274 inf + 4236 500.801 * * [simplify]: Extracting #7: cost 233 inf + 10765 500.809 * * [simplify]: Extracting #8: cost 172 inf + 21539 500.823 * * [simplify]: Extracting #9: cost 113 inf + 43829 500.843 * * [simplify]: Extracting #10: cost 58 inf + 68471 500.863 * * [simplify]: Extracting #11: cost 15 inf + 111058 500.903 * * [simplify]: Extracting #12: cost 0 inf + 129113 500.940 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 500.940 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 500.940 * * * * [progress]: [ 1660 / 5906 ] simplifiying candidate # 500.941 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 500.941 * * [simplify]: iters left: 6 (53 enodes) 500.956 * * [simplify]: iters left: 5 (263 enodes) 501.065 * * [simplify]: Extracting #0: cost 1 inf + 0 501.066 * * [simplify]: Extracting #1: cost 3 inf + 0 501.066 * * [simplify]: Extracting #2: cost 6 inf + 0 501.066 * * [simplify]: Extracting #3: cost 62 inf + 0 501.066 * * [simplify]: Extracting #4: cost 151 inf + 0 501.067 * * [simplify]: Extracting #5: cost 220 inf + 44 501.068 * * [simplify]: Extracting #6: cost 267 inf + 4600 501.071 * * [simplify]: Extracting #7: cost 227 inf + 11729 501.074 * * [simplify]: Extracting #8: cost 173 inf + 20597 501.081 * * [simplify]: Extracting #9: cost 111 inf + 44051 501.100 * * [simplify]: Extracting #10: cost 40 inf + 81153 501.139 * * [simplify]: Extracting #11: cost 12 inf + 110685 501.189 * * [simplify]: Extracting #12: cost 0 inf + 126545 501.218 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 501.218 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 501.219 * * * * [progress]: [ 1661 / 5906 ] simplifiying candidate # 501.219 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 501.220 * * [simplify]: iters left: 6 (47 enodes) 501.234 * * [simplify]: iters left: 5 (227 enodes) 501.303 * * [simplify]: Extracting #0: cost 1 inf + 0 501.303 * * [simplify]: Extracting #1: cost 3 inf + 0 501.303 * * [simplify]: Extracting #2: cost 6 inf + 0 501.303 * * [simplify]: Extracting #3: cost 54 inf + 0 501.303 * * [simplify]: Extracting #4: cost 119 inf + 0 501.304 * * [simplify]: Extracting #5: cost 164 inf + 452 501.305 * * [simplify]: Extracting #6: cost 226 inf + 2853 501.306 * * [simplify]: Extracting #7: cost 216 inf + 4644 501.309 * * [simplify]: Extracting #8: cost 144 inf + 21090 501.321 * * [simplify]: Extracting #9: cost 80 inf + 41548 501.351 * * [simplify]: Extracting #10: cost 20 inf + 87179 501.392 * * [simplify]: Extracting #11: cost 1 inf + 101699 501.433 * * [simplify]: Extracting #12: cost 0 inf + 103564 501.478 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))))) (* (+ phi1 phi2) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) 501.478 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))))) (* (+ phi1 phi2) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 501.479 * * * * [progress]: [ 1662 / 5906 ] simplifiying candidate # 501.479 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 501.480 * * [simplify]: iters left: 6 (52 enodes) 501.504 * * [simplify]: iters left: 5 (255 enodes) 501.590 * * [simplify]: Extracting #0: cost 1 inf + 0 501.591 * * [simplify]: Extracting #1: cost 3 inf + 0 501.591 * * [simplify]: Extracting #2: cost 10 inf + 0 501.591 * * [simplify]: Extracting #3: cost 74 inf + 0 501.591 * * [simplify]: Extracting #4: cost 137 inf + 1 501.592 * * [simplify]: Extracting #5: cost 190 inf + 207 501.594 * * [simplify]: Extracting #6: cost 253 inf + 3293 501.598 * * [simplify]: Extracting #7: cost 227 inf + 7196 501.604 * * [simplify]: Extracting #8: cost 162 inf + 20162 501.616 * * [simplify]: Extracting #9: cost 127 inf + 35932 501.634 * * [simplify]: Extracting #10: cost 88 inf + 53066 501.657 * * [simplify]: Extracting #11: cost 50 inf + 67725 501.697 * * [simplify]: Extracting #12: cost 7 inf + 109240 501.723 * * [simplify]: Extracting #13: cost 0 inf + 118295 501.752 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 501.752 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 501.753 * * * * [progress]: [ 1663 / 5906 ] simplifiying candidate # 501.754 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 501.754 * * [simplify]: iters left: 6 (47 enodes) 501.775 * * [simplify]: iters left: 5 (227 enodes) 501.833 * * [simplify]: Extracting #0: cost 1 inf + 0 501.833 * * [simplify]: Extracting #1: cost 3 inf + 0 501.833 * * [simplify]: Extracting #2: cost 10 inf + 0 501.833 * * [simplify]: Extracting #3: cost 66 inf + 0 501.834 * * [simplify]: Extracting #4: cost 117 inf + 44 501.835 * * [simplify]: Extracting #5: cost 152 inf + 1348 501.837 * * [simplify]: Extracting #6: cost 223 inf + 2972 501.841 * * [simplify]: Extracting #7: cost 214 inf + 4642 501.844 * * [simplify]: Extracting #8: cost 143 inf + 18724 501.851 * * [simplify]: Extracting #9: cost 71 inf + 45264 501.868 * * [simplify]: Extracting #10: cost 12 inf + 86398 501.906 * * [simplify]: Extracting #11: cost 1 inf + 97349 501.945 * * [simplify]: Extracting #12: cost 0 inf + 99094 501.974 * * [simplify]: Extracting #13: cost 0 inf + 99014 501.996 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)))) 501.996 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 501.996 * * * * [progress]: [ 1664 / 5906 ] simplifiying candidate # 501.997 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 501.997 * * [simplify]: iters left: 6 (52 enodes) 502.014 * * [simplify]: iters left: 5 (255 enodes) 502.084 * * [simplify]: Extracting #0: cost 1 inf + 0 502.084 * * [simplify]: Extracting #1: cost 3 inf + 0 502.084 * * [simplify]: Extracting #2: cost 10 inf + 0 502.084 * * [simplify]: Extracting #3: cost 74 inf + 0 502.084 * * [simplify]: Extracting #4: cost 137 inf + 1 502.085 * * [simplify]: Extracting #5: cost 190 inf + 207 502.085 * * [simplify]: Extracting #6: cost 259 inf + 1801 502.087 * * [simplify]: Extracting #7: cost 229 inf + 6592 502.093 * * [simplify]: Extracting #8: cost 158 inf + 22335 502.107 * * [simplify]: Extracting #9: cost 99 inf + 47121 502.127 * * [simplify]: Extracting #10: cost 52 inf + 67675 502.156 * * [simplify]: Extracting #11: cost 7 inf + 110200 502.185 * * [simplify]: Extracting #12: cost 0 inf + 119255 502.234 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 502.234 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 502.235 * * * * [progress]: [ 1665 / 5906 ] simplifiying candidate # 502.236 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 502.236 * * [simplify]: iters left: 6 (47 enodes) 502.255 * * [simplify]: iters left: 5 (227 enodes) 502.314 * * [simplify]: Extracting #0: cost 1 inf + 0 502.314 * * [simplify]: Extracting #1: cost 3 inf + 0 502.314 * * [simplify]: Extracting #2: cost 10 inf + 0 502.314 * * [simplify]: Extracting #3: cost 65 inf + 0 502.315 * * [simplify]: Extracting #4: cost 117 inf + 44 502.316 * * [simplify]: Extracting #5: cost 156 inf + 780 502.318 * * [simplify]: Extracting #6: cost 225 inf + 2568 502.320 * * [simplify]: Extracting #7: cost 213 inf + 4804 502.327 * * [simplify]: Extracting #8: cost 145 inf + 18503 502.344 * * [simplify]: Extracting #9: cost 73 inf + 44498 502.372 * * [simplify]: Extracting #10: cost 15 inf + 84245 502.409 * * [simplify]: Extracting #11: cost 1 inf + 97829 502.448 * * [simplify]: Extracting #12: cost 0 inf + 99574 502.488 * * [simplify]: Extracting #13: cost 0 inf + 99494 502.526 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)))) 502.526 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 502.527 * * * * [progress]: [ 1666 / 5906 ] simplifiying candidate # 502.528 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 502.528 * * [simplify]: iters left: 6 (52 enodes) 502.554 * * [simplify]: iters left: 5 (254 enodes) 502.628 * * [simplify]: Extracting #0: cost 1 inf + 0 502.628 * * [simplify]: Extracting #1: cost 3 inf + 0 502.629 * * [simplify]: Extracting #2: cost 6 inf + 0 502.629 * * [simplify]: Extracting #3: cost 56 inf + 0 502.629 * * [simplify]: Extracting #4: cost 130 inf + 0 502.629 * * [simplify]: Extracting #5: cost 210 inf + 0 502.630 * * [simplify]: Extracting #6: cost 284 inf + 1183 502.636 * * [simplify]: Extracting #7: cost 215 inf + 12694 502.642 * * [simplify]: Extracting #8: cost 119 inf + 41044 502.654 * * [simplify]: Extracting #9: cost 57 inf + 66198 502.684 * * [simplify]: Extracting #10: cost 12 inf + 109676 502.730 * * [simplify]: Extracting #11: cost 1 inf + 122791 502.756 * * [simplify]: Extracting #12: cost 0 inf + 124856 502.796 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) 502.796 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 502.797 * * * * [progress]: [ 1667 / 5906 ] simplifiying candidate # 502.798 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 502.798 * * [simplify]: iters left: 6 (53 enodes) 502.825 * * [simplify]: iters left: 5 (263 enodes) 502.897 * * [simplify]: Extracting #0: cost 1 inf + 0 502.897 * * [simplify]: Extracting #1: cost 3 inf + 0 502.897 * * [simplify]: Extracting #2: cost 6 inf + 0 502.897 * * [simplify]: Extracting #3: cost 60 inf + 0 502.897 * * [simplify]: Extracting #4: cost 153 inf + 0 502.898 * * [simplify]: Extracting #5: cost 224 inf + 44 502.899 * * [simplify]: Extracting #6: cost 261 inf + 4975 502.902 * * [simplify]: Extracting #7: cost 200 inf + 15473 502.907 * * [simplify]: Extracting #8: cost 151 inf + 30749 502.915 * * [simplify]: Extracting #9: cost 121 inf + 44613 502.925 * * [simplify]: Extracting #10: cost 93 inf + 56521 502.937 * * [simplify]: Extracting #11: cost 53 inf + 70988 502.958 * * [simplify]: Extracting #12: cost 15 inf + 109738 502.985 * * [simplify]: Extracting #13: cost 0 inf + 127433 503.012 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 503.012 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 503.013 * * * * [progress]: [ 1668 / 5906 ] simplifiying candidate # 503.014 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 503.014 * * [simplify]: iters left: 6 (53 enodes) 503.041 * * [simplify]: iters left: 5 (263 enodes) 503.139 * * [simplify]: Extracting #0: cost 1 inf + 0 503.139 * * [simplify]: Extracting #1: cost 3 inf + 0 503.139 * * [simplify]: Extracting #2: cost 6 inf + 0 503.139 * * [simplify]: Extracting #3: cost 62 inf + 0 503.140 * * [simplify]: Extracting #4: cost 151 inf + 0 503.140 * * [simplify]: Extracting #5: cost 220 inf + 44 503.142 * * [simplify]: Extracting #6: cost 256 inf + 5377 503.145 * * [simplify]: Extracting #7: cost 192 inf + 17888 503.152 * * [simplify]: Extracting #8: cost 151 inf + 29970 503.160 * * [simplify]: Extracting #9: cost 96 inf + 53585 503.173 * * [simplify]: Extracting #10: cost 36 inf + 81127 503.206 * * [simplify]: Extracting #11: cost 11 inf + 109870 503.229 * * [simplify]: Extracting #12: cost 0 inf + 123585 503.253 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 503.253 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 503.254 * * * * [progress]: [ 1669 / 5906 ] simplifiying candidate # 503.254 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 503.254 * * [simplify]: iters left: 6 (47 enodes) 503.266 * * [simplify]: iters left: 5 (227 enodes) 503.313 * * [simplify]: Extracting #0: cost 1 inf + 0 503.313 * * [simplify]: Extracting #1: cost 3 inf + 0 503.313 * * [simplify]: Extracting #2: cost 6 inf + 0 503.313 * * [simplify]: Extracting #3: cost 54 inf + 0 503.314 * * [simplify]: Extracting #4: cost 119 inf + 0 503.314 * * [simplify]: Extracting #5: cost 168 inf + 44 503.315 * * [simplify]: Extracting #6: cost 227 inf + 1803 503.317 * * [simplify]: Extracting #7: cost 187 inf + 8383 503.323 * * [simplify]: Extracting #8: cost 111 inf + 29736 503.341 * * [simplify]: Extracting #9: cost 57 inf + 53808 503.370 * * [simplify]: Extracting #10: cost 8 inf + 91232 503.390 * * [simplify]: Extracting #11: cost 1 inf + 97139 503.413 * * [simplify]: Extracting #12: cost 0 inf + 98724 503.433 * * [simplify]: Extracting #13: cost 0 inf + 98684 503.457 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (* (+ phi1 phi2) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) 503.457 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (* (+ phi1 phi2) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 503.457 * * * * [progress]: [ 1670 / 5906 ] simplifiying candidate # 503.458 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 503.458 * * [simplify]: iters left: 6 (52 enodes) 503.482 * * [simplify]: iters left: 5 (255 enodes) 503.579 * * [simplify]: Extracting #0: cost 1 inf + 0 503.579 * * [simplify]: Extracting #1: cost 3 inf + 0 503.579 * * [simplify]: Extracting #2: cost 10 inf + 0 503.580 * * [simplify]: Extracting #3: cost 74 inf + 0 503.580 * * [simplify]: Extracting #4: cost 137 inf + 1 503.581 * * [simplify]: Extracting #5: cost 190 inf + 207 503.583 * * [simplify]: Extracting #6: cost 236 inf + 4440 503.589 * * [simplify]: Extracting #7: cost 179 inf + 20017 503.598 * * [simplify]: Extracting #8: cost 127 inf + 37662 503.607 * * [simplify]: Extracting #9: cost 89 inf + 51361 503.618 * * [simplify]: Extracting #10: cost 49 inf + 66870 503.653 * * [simplify]: Extracting #11: cost 6 inf + 109345 503.680 * * [simplify]: Extracting #12: cost 0 inf + 116135 503.720 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 503.720 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 503.721 * * * * [progress]: [ 1671 / 5906 ] simplifiying candidate # 503.721 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 503.722 * * [simplify]: iters left: 6 (47 enodes) 503.734 * * [simplify]: iters left: 5 (227 enodes) 503.802 * * [simplify]: Extracting #0: cost 1 inf + 0 503.802 * * [simplify]: Extracting #1: cost 3 inf + 0 503.802 * * [simplify]: Extracting #2: cost 10 inf + 0 503.802 * * [simplify]: Extracting #3: cost 66 inf + 0 503.802 * * [simplify]: Extracting #4: cost 117 inf + 44 503.803 * * [simplify]: Extracting #5: cost 152 inf + 1348 503.804 * * [simplify]: Extracting #6: cost 217 inf + 3057 503.806 * * [simplify]: Extracting #7: cost 168 inf + 14267 503.812 * * [simplify]: Extracting #8: cost 124 inf + 30189 503.819 * * [simplify]: Extracting #9: cost 92 inf + 40380 503.833 * * [simplify]: Extracting #10: cost 43 inf + 57872 503.861 * * [simplify]: Extracting #11: cost 10 inf + 84804 503.883 * * [simplify]: Extracting #12: cost 1 inf + 94829 503.911 * * [simplify]: Extracting #13: cost 0 inf + 96534 503.932 * * [simplify]: Extracting #14: cost 0 inf + 96454 503.966 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)))) 503.966 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 503.967 * * * * [progress]: [ 1672 / 5906 ] simplifiying candidate # 503.967 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 503.968 * * [simplify]: iters left: 6 (52 enodes) 503.995 * * [simplify]: iters left: 5 (255 enodes) 504.069 * * [simplify]: Extracting #0: cost 1 inf + 0 504.069 * * [simplify]: Extracting #1: cost 3 inf + 0 504.069 * * [simplify]: Extracting #2: cost 10 inf + 0 504.069 * * [simplify]: Extracting #3: cost 74 inf + 0 504.070 * * [simplify]: Extracting #4: cost 137 inf + 1 504.071 * * [simplify]: Extracting #5: cost 190 inf + 207 504.073 * * [simplify]: Extracting #6: cost 243 inf + 2786 504.078 * * [simplify]: Extracting #7: cost 184 inf + 18521 504.091 * * [simplify]: Extracting #8: cost 127 inf + 38462 504.106 * * [simplify]: Extracting #9: cost 91 inf + 51351 504.118 * * [simplify]: Extracting #10: cost 50 inf + 67005 504.149 * * [simplify]: Extracting #11: cost 6 inf + 110305 504.180 * * [simplify]: Extracting #12: cost 0 inf + 117095 504.211 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 504.211 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 504.211 * * * * [progress]: [ 1673 / 5906 ] simplifiying candidate # 504.212 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 504.212 * * [simplify]: iters left: 6 (47 enodes) 504.224 * * [simplify]: iters left: 5 (227 enodes) 504.275 * * [simplify]: Extracting #0: cost 1 inf + 0 504.275 * * [simplify]: Extracting #1: cost 3 inf + 0 504.275 * * [simplify]: Extracting #2: cost 10 inf + 0 504.276 * * [simplify]: Extracting #3: cost 65 inf + 0 504.276 * * [simplify]: Extracting #4: cost 117 inf + 44 504.276 * * [simplify]: Extracting #5: cost 156 inf + 780 504.278 * * [simplify]: Extracting #6: cost 219 inf + 2653 504.282 * * [simplify]: Extracting #7: cost 178 inf + 9317 504.291 * * [simplify]: Extracting #8: cost 134 inf + 23711 504.301 * * [simplify]: Extracting #9: cost 92 inf + 41102 504.311 * * [simplify]: Extracting #10: cost 42 inf + 58484 504.326 * * [simplify]: Extracting #11: cost 11 inf + 84819 504.365 * * [simplify]: Extracting #12: cost 1 inf + 96309 504.392 * * [simplify]: Extracting #13: cost 0 inf + 98054 504.414 * * [simplify]: Extracting #14: cost 0 inf + 97974 504.451 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)))) 504.451 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 504.452 * * * * [progress]: [ 1674 / 5906 ] simplifiying candidate # 504.452 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 504.453 * * [simplify]: iters left: 6 (51 enodes) 504.480 * * [simplify]: iters left: 5 (256 enodes) 504.577 * * [simplify]: Extracting #0: cost 1 inf + 0 504.577 * * [simplify]: Extracting #1: cost 3 inf + 0 504.577 * * [simplify]: Extracting #2: cost 6 inf + 0 504.577 * * [simplify]: Extracting #3: cost 56 inf + 0 504.577 * * [simplify]: Extracting #4: cost 130 inf + 0 504.578 * * [simplify]: Extracting #5: cost 214 inf + 0 504.580 * * [simplify]: Extracting #6: cost 304 inf + 420 504.584 * * [simplify]: Extracting #7: cost 255 inf + 8531 504.593 * * [simplify]: Extracting #8: cost 166 inf + 24927 504.606 * * [simplify]: Extracting #9: cost 116 inf + 42207 504.633 * * [simplify]: Extracting #10: cost 60 inf + 67423 504.656 * * [simplify]: Extracting #11: cost 14 inf + 108560 504.687 * * [simplify]: Extracting #12: cost 1 inf + 124925 504.718 * * [simplify]: Extracting #13: cost 0 inf + 126950 504.752 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 504.752 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 504.753 * * * * [progress]: [ 1675 / 5906 ] simplifiying candidate # 504.753 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 504.754 * * [simplify]: iters left: 6 (52 enodes) 504.772 * * [simplify]: iters left: 5 (265 enodes) 504.858 * * [simplify]: Extracting #0: cost 1 inf + 0 504.858 * * [simplify]: Extracting #1: cost 3 inf + 0 504.858 * * [simplify]: Extracting #2: cost 6 inf + 0 504.858 * * [simplify]: Extracting #3: cost 60 inf + 0 504.859 * * [simplify]: Extracting #4: cost 153 inf + 0 504.860 * * [simplify]: Extracting #5: cost 226 inf + 127 504.862 * * [simplify]: Extracting #6: cost 282 inf + 4079 504.867 * * [simplify]: Extracting #7: cost 247 inf + 10765 504.877 * * [simplify]: Extracting #8: cost 159 inf + 30872 504.899 * * [simplify]: Extracting #9: cost 58 inf + 73188 504.921 * * [simplify]: Extracting #10: cost 12 inf + 114810 504.970 * * [simplify]: Extracting #11: cost 0 inf + 130007 505.017 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) 505.017 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 505.018 * * * * [progress]: [ 1676 / 5906 ] simplifiying candidate # 505.018 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 505.018 * * [simplify]: iters left: 6 (52 enodes) 505.031 * * [simplify]: iters left: 5 (265 enodes) 505.118 * * [simplify]: Extracting #0: cost 1 inf + 0 505.118 * * [simplify]: Extracting #1: cost 3 inf + 0 505.118 * * [simplify]: Extracting #2: cost 6 inf + 0 505.118 * * [simplify]: Extracting #3: cost 62 inf + 0 505.119 * * [simplify]: Extracting #4: cost 151 inf + 0 505.120 * * [simplify]: Extracting #5: cost 223 inf + 85 505.123 * * [simplify]: Extracting #6: cost 283 inf + 3468 505.127 * * [simplify]: Extracting #7: cost 259 inf + 9132 505.135 * * [simplify]: Extracting #8: cost 198 inf + 19374 505.149 * * [simplify]: Extracting #9: cost 120 inf + 41267 505.175 * * [simplify]: Extracting #10: cost 55 inf + 76515 505.216 * * [simplify]: Extracting #11: cost 11 inf + 118884 505.246 * * [simplify]: Extracting #12: cost 0 inf + 133839 505.294 * * [simplify]: Extracting #13: cost 0 inf + 133239 505.347 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 505.347 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 505.348 * * * * [progress]: [ 1677 / 5906 ] simplifiying candidate # 505.348 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 505.349 * * [simplify]: iters left: 6 (46 enodes) 505.370 * * [simplify]: iters left: 5 (229 enodes) 505.461 * * [simplify]: Extracting #0: cost 1 inf + 0 505.461 * * [simplify]: Extracting #1: cost 3 inf + 0 505.461 * * [simplify]: Extracting #2: cost 6 inf + 0 505.461 * * [simplify]: Extracting #3: cost 54 inf + 0 505.462 * * [simplify]: Extracting #4: cost 119 inf + 0 505.462 * * [simplify]: Extracting #5: cost 170 inf + 167 505.464 * * [simplify]: Extracting #6: cost 241 inf + 2043 505.466 * * [simplify]: Extracting #7: cost 237 inf + 3750 505.474 * * [simplify]: Extracting #8: cost 131 inf + 26594 505.491 * * [simplify]: Extracting #9: cost 59 inf + 57661 505.521 * * [simplify]: Extracting #10: cost 11 inf + 93025 505.562 * * [simplify]: Extracting #11: cost 0 inf + 104818 505.603 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ phi1 phi2))))) 505.603 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 505.604 * * * * [progress]: [ 1678 / 5906 ] simplifiying candidate # 505.605 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 505.605 * * [simplify]: iters left: 6 (51 enodes) 505.631 * * [simplify]: iters left: 5 (257 enodes) 505.734 * * [simplify]: Extracting #0: cost 1 inf + 0 505.734 * * [simplify]: Extracting #1: cost 3 inf + 0 505.734 * * [simplify]: Extracting #2: cost 10 inf + 0 505.734 * * [simplify]: Extracting #3: cost 74 inf + 0 505.735 * * [simplify]: Extracting #4: cost 136 inf + 42 505.735 * * [simplify]: Extracting #5: cost 193 inf + 249 505.736 * * [simplify]: Extracting #6: cost 270 inf + 2042 505.738 * * [simplify]: Extracting #7: cost 251 inf + 6375 505.742 * * [simplify]: Extracting #8: cost 165 inf + 23156 505.750 * * [simplify]: Extracting #9: cost 99 inf + 47730 505.773 * * [simplify]: Extracting #10: cost 41 inf + 79284 505.815 * * [simplify]: Extracting #11: cost 6 inf + 110599 505.843 * * [simplify]: Extracting #12: cost 1 inf + 118524 505.886 * * [simplify]: Extracting #13: cost 0 inf + 120549 505.933 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))))) 505.933 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 505.934 * * * * [progress]: [ 1679 / 5906 ] simplifiying candidate # 505.935 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 505.935 * * [simplify]: iters left: 6 (46 enodes) 505.958 * * [simplify]: iters left: 5 (229 enodes) 506.034 * * [simplify]: Extracting #0: cost 1 inf + 0 506.034 * * [simplify]: Extracting #1: cost 3 inf + 0 506.034 * * [simplify]: Extracting #2: cost 10 inf + 0 506.034 * * [simplify]: Extracting #3: cost 66 inf + 0 506.034 * * [simplify]: Extracting #4: cost 117 inf + 44 506.035 * * [simplify]: Extracting #5: cost 162 inf + 496 506.036 * * [simplify]: Extracting #6: cost 235 inf + 2770 506.037 * * [simplify]: Extracting #7: cost 231 inf + 4597 506.040 * * [simplify]: Extracting #8: cost 162 inf + 16782 506.056 * * [simplify]: Extracting #9: cost 87 inf + 46886 506.080 * * [simplify]: Extracting #10: cost 37 inf + 68771 506.105 * * [simplify]: Extracting #11: cost 5 inf + 94503 506.136 * * [simplify]: Extracting #12: cost 0 inf + 101428 506.164 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ phi1 phi2))))) 506.164 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 506.165 * * * * [progress]: [ 1680 / 5906 ] simplifiying candidate # 506.165 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 506.166 * * [simplify]: iters left: 6 (51 enodes) 506.180 * * [simplify]: iters left: 5 (257 enodes) 506.269 * * [simplify]: Extracting #0: cost 1 inf + 0 506.269 * * [simplify]: Extracting #1: cost 3 inf + 0 506.269 * * [simplify]: Extracting #2: cost 10 inf + 0 506.269 * * [simplify]: Extracting #3: cost 74 inf + 0 506.270 * * [simplify]: Extracting #4: cost 136 inf + 42 506.271 * * [simplify]: Extracting #5: cost 193 inf + 248 506.273 * * [simplify]: Extracting #6: cost 263 inf + 3694 506.278 * * [simplify]: Extracting #7: cost 215 inf + 13970 506.287 * * [simplify]: Extracting #8: cost 152 inf + 27808 506.302 * * [simplify]: Extracting #9: cost 101 inf + 47061 506.316 * * [simplify]: Extracting #10: cost 42 inf + 79459 506.345 * * [simplify]: Extracting #11: cost 7 inf + 110774 506.374 * * [simplify]: Extracting #12: cost 1 inf + 119484 506.418 * * [simplify]: Extracting #13: cost 0 inf + 121509 506.467 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))))) 506.467 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 506.468 * * * * [progress]: [ 1681 / 5906 ] simplifiying candidate # 506.469 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 506.469 * * [simplify]: iters left: 6 (46 enodes) 506.485 * * [simplify]: iters left: 5 (229 enodes) 506.552 * * [simplify]: Extracting #0: cost 1 inf + 0 506.552 * * [simplify]: Extracting #1: cost 3 inf + 0 506.552 * * [simplify]: Extracting #2: cost 10 inf + 0 506.552 * * [simplify]: Extracting #3: cost 65 inf + 0 506.553 * * [simplify]: Extracting #4: cost 117 inf + 44 506.554 * * [simplify]: Extracting #5: cost 161 inf + 538 506.556 * * [simplify]: Extracting #6: cost 235 inf + 2770 506.558 * * [simplify]: Extracting #7: cost 231 inf + 4396 506.564 * * [simplify]: Extracting #8: cost 165 inf + 15574 506.577 * * [simplify]: Extracting #9: cost 100 inf + 38438 506.600 * * [simplify]: Extracting #10: cost 37 inf + 69171 506.639 * * [simplify]: Extracting #11: cost 5 inf + 94903 506.680 * * [simplify]: Extracting #12: cost 0 inf + 101828 506.721 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ phi1 phi2))))) 506.721 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 506.722 * * * * [progress]: [ 1682 / 5906 ] simplifiying candidate # 506.722 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 506.723 * * [simplify]: iters left: 6 (51 enodes) 506.749 * * [simplify]: iters left: 5 (252 enodes) 506.824 * * [simplify]: Extracting #0: cost 1 inf + 0 506.824 * * [simplify]: Extracting #1: cost 3 inf + 0 506.824 * * [simplify]: Extracting #2: cost 6 inf + 0 506.824 * * [simplify]: Extracting #3: cost 56 inf + 0 506.824 * * [simplify]: Extracting #4: cost 125 inf + 0 506.825 * * [simplify]: Extracting #5: cost 194 inf + 0 506.825 * * [simplify]: Extracting #6: cost 275 inf + 339 506.827 * * [simplify]: Extracting #7: cost 242 inf + 5373 506.830 * * [simplify]: Extracting #8: cost 167 inf + 18764 506.837 * * [simplify]: Extracting #9: cost 101 inf + 39488 506.858 * * [simplify]: Extracting #10: cost 32 inf + 81315 506.895 * * [simplify]: Extracting #11: cost 1 inf + 108882 506.922 * * [simplify]: Extracting #12: cost 0 inf + 110267 506.962 * * [simplify]: Extracting #13: cost 0 inf + 110227 506.984 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 506.985 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 506.985 * * * * [progress]: [ 1683 / 5906 ] simplifiying candidate # 506.986 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 506.986 * * [simplify]: iters left: 6 (52 enodes) 507.010 * * [simplify]: iters left: 5 (261 enodes) 507.087 * * [simplify]: Extracting #0: cost 1 inf + 0 507.087 * * [simplify]: Extracting #1: cost 3 inf + 0 507.087 * * [simplify]: Extracting #2: cost 6 inf + 0 507.087 * * [simplify]: Extracting #3: cost 60 inf + 0 507.087 * * [simplify]: Extracting #4: cost 148 inf + 0 507.088 * * [simplify]: Extracting #5: cost 207 inf + 85 507.091 * * [simplify]: Extracting #6: cost 257 inf + 3469 507.096 * * [simplify]: Extracting #7: cost 229 inf + 9902 507.102 * * [simplify]: Extracting #8: cost 176 inf + 19039 507.117 * * [simplify]: Extracting #9: cost 98 inf + 46635 507.157 * * [simplify]: Extracting #10: cost 18 inf + 97200 507.191 * * [simplify]: Extracting #11: cost 0 inf + 113844 507.215 * * [simplify]: Extracting #12: cost 0 inf + 113404 507.252 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))))) 507.252 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 507.253 * * * * [progress]: [ 1684 / 5906 ] simplifiying candidate # 507.253 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 507.254 * * [simplify]: iters left: 6 (52 enodes) 507.267 * * [simplify]: iters left: 5 (261 enodes) 507.343 * * [simplify]: Extracting #0: cost 1 inf + 0 507.343 * * [simplify]: Extracting #1: cost 3 inf + 0 507.343 * * [simplify]: Extracting #2: cost 6 inf + 0 507.343 * * [simplify]: Extracting #3: cost 62 inf + 0 507.343 * * [simplify]: Extracting #4: cost 146 inf + 0 507.344 * * [simplify]: Extracting #5: cost 203 inf + 85 507.345 * * [simplify]: Extracting #6: cost 253 inf + 3509 507.348 * * [simplify]: Extracting #7: cost 219 inf + 10794 507.352 * * [simplify]: Extracting #8: cost 156 inf + 21481 507.359 * * [simplify]: Extracting #9: cost 100 inf + 42848 507.380 * * [simplify]: Extracting #10: cost 9 inf + 102762 507.420 * * [simplify]: Extracting #11: cost 0 inf + 111076 507.443 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 507.443 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 507.444 * * * * [progress]: [ 1685 / 5906 ] simplifiying candidate # 507.444 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 507.445 * * [simplify]: iters left: 6 (46 enodes) 507.457 * * [simplify]: iters left: 5 (225 enodes) 507.502 * * [simplify]: Extracting #0: cost 1 inf + 0 507.502 * * [simplify]: Extracting #1: cost 3 inf + 0 507.502 * * [simplify]: Extracting #2: cost 6 inf + 0 507.502 * * [simplify]: Extracting #3: cost 54 inf + 0 507.503 * * [simplify]: Extracting #4: cost 113 inf + 0 507.503 * * [simplify]: Extracting #5: cost 149 inf + 167 507.504 * * [simplify]: Extracting #6: cost 210 inf + 2124 507.505 * * [simplify]: Extracting #7: cost 201 inf + 4360 507.508 * * [simplify]: Extracting #8: cost 151 inf + 11062 507.511 * * [simplify]: Extracting #9: cost 116 inf + 21388 507.520 * * [simplify]: Extracting #10: cost 52 inf + 48320 507.531 * * [simplify]: Extracting #11: cost 29 inf + 62128 507.562 * * [simplify]: Extracting #12: cost 4 inf + 83953 508.182 * * [simplify]: Extracting #13: cost 0 inf + 88853 508.205 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 508.205 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 508.206 * * * * [progress]: [ 1686 / 5906 ] simplifiying candidate # 508.206 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 508.207 * * [simplify]: iters left: 6 (51 enodes) 508.228 * * [simplify]: iters left: 5 (253 enodes) 508.303 * * [simplify]: Extracting #0: cost 1 inf + 0 508.303 * * [simplify]: Extracting #1: cost 3 inf + 0 508.303 * * [simplify]: Extracting #2: cost 10 inf + 0 508.304 * * [simplify]: Extracting #3: cost 71 inf + 0 508.304 * * [simplify]: Extracting #4: cost 133 inf + 42 508.305 * * [simplify]: Extracting #5: cost 175 inf + 249 508.308 * * [simplify]: Extracting #6: cost 242 inf + 2041 508.310 * * [simplify]: Extracting #7: cost 229 inf + 5323 508.314 * * [simplify]: Extracting #8: cost 131 inf + 28418 508.326 * * [simplify]: Extracting #9: cost 40 inf + 70521 508.347 * * [simplify]: Extracting #10: cost 3 inf + 101104 508.383 * * [simplify]: Extracting #11: cost 1 inf + 104554 508.409 * * [simplify]: Extracting #12: cost 0 inf + 106299 508.446 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 508.446 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 508.447 * * * * [progress]: [ 1687 / 5906 ] simplifiying candidate # 508.447 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 508.447 * * [simplify]: iters left: 6 (46 enodes) 508.459 * * [simplify]: iters left: 5 (225 enodes) 508.534 * * [simplify]: Extracting #0: cost 1 inf + 0 508.534 * * [simplify]: Extracting #1: cost 3 inf + 0 508.534 * * [simplify]: Extracting #2: cost 10 inf + 0 508.534 * * [simplify]: Extracting #3: cost 64 inf + 0 508.535 * * [simplify]: Extracting #4: cost 116 inf + 44 508.536 * * [simplify]: Extracting #5: cost 141 inf + 1026 508.538 * * [simplify]: Extracting #6: cost 208 inf + 2932 508.540 * * [simplify]: Extracting #7: cost 208 inf + 4113 508.546 * * [simplify]: Extracting #8: cost 151 inf + 13154 508.557 * * [simplify]: Extracting #9: cost 96 inf + 33137 508.577 * * [simplify]: Extracting #10: cost 45 inf + 53506 508.595 * * [simplify]: Extracting #11: cost 22 inf + 68055 508.614 * * [simplify]: Extracting #12: cost 1 inf + 88300 508.647 * * [simplify]: Extracting #13: cost 0 inf + 89805 508.671 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi1 phi2))))) 508.671 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 508.672 * * * * [progress]: [ 1688 / 5906 ] simplifiying candidate # 508.672 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 508.672 * * [simplify]: iters left: 6 (51 enodes) 508.687 * * [simplify]: iters left: 5 (253 enodes) 508.779 * * [simplify]: Extracting #0: cost 1 inf + 0 508.779 * * [simplify]: Extracting #1: cost 3 inf + 0 508.779 * * [simplify]: Extracting #2: cost 10 inf + 0 508.779 * * [simplify]: Extracting #3: cost 71 inf + 0 508.780 * * [simplify]: Extracting #4: cost 133 inf + 42 508.780 * * [simplify]: Extracting #5: cost 176 inf + 207 508.781 * * [simplify]: Extracting #6: cost 238 inf + 3008 508.783 * * [simplify]: Extracting #7: cost 226 inf + 5808 508.787 * * [simplify]: Extracting #8: cost 132 inf + 27925 508.802 * * [simplify]: Extracting #9: cost 39 inf + 72023 508.827 * * [simplify]: Extracting #10: cost 3 inf + 102064 508.853 * * [simplify]: Extracting #11: cost 1 inf + 105514 508.893 * * [simplify]: Extracting #12: cost 0 inf + 107259 508.920 * [simplify]: Simplified to (sqrt (+ (* (- phi1 phi2) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 508.921 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- phi1 phi2) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 508.921 * * * * [progress]: [ 1689 / 5906 ] simplifiying candidate # 508.921 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 508.922 * * [simplify]: iters left: 6 (46 enodes) 508.938 * * [simplify]: iters left: 5 (225 enodes) 508.999 * * [simplify]: Extracting #0: cost 1 inf + 0 508.999 * * [simplify]: Extracting #1: cost 3 inf + 0 508.999 * * [simplify]: Extracting #2: cost 10 inf + 0 508.999 * * [simplify]: Extracting #3: cost 63 inf + 0 509.000 * * [simplify]: Extracting #4: cost 116 inf + 44 509.001 * * [simplify]: Extracting #5: cost 142 inf + 904 509.002 * * [simplify]: Extracting #6: cost 208 inf + 2932 509.003 * * [simplify]: Extracting #7: cost 208 inf + 4072 509.008 * * [simplify]: Extracting #8: cost 150 inf + 13275 509.014 * * [simplify]: Extracting #9: cost 96 inf + 33516 509.024 * * [simplify]: Extracting #10: cost 45 inf + 53906 509.042 * * [simplify]: Extracting #11: cost 22 inf + 68455 509.061 * * [simplify]: Extracting #12: cost 1 inf + 88700 509.088 * * [simplify]: Extracting #13: cost 0 inf + 90205 509.107 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi1 phi2))))) 509.107 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 509.108 * * * * [progress]: [ 1690 / 5906 ] simplifiying candidate # 509.108 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 509.109 * * [simplify]: iters left: 6 (47 enodes) 509.129 * * [simplify]: iters left: 5 (233 enodes) 509.194 * * [simplify]: Extracting #0: cost 1 inf + 0 509.194 * * [simplify]: Extracting #1: cost 3 inf + 0 509.194 * * [simplify]: Extracting #2: cost 6 inf + 0 509.194 * * [simplify]: Extracting #3: cost 54 inf + 0 509.195 * * [simplify]: Extracting #4: cost 120 inf + 0 509.196 * * [simplify]: Extracting #5: cost 192 inf + 0 509.197 * * [simplify]: Extracting #6: cost 257 inf + 169 509.199 * * [simplify]: Extracting #7: cost 221 inf + 5971 509.206 * * [simplify]: Extracting #8: cost 141 inf + 22354 509.218 * * [simplify]: Extracting #9: cost 85 inf + 42707 509.233 * * [simplify]: Extracting #10: cost 42 inf + 63963 509.257 * * [simplify]: Extracting #11: cost 8 inf + 94573 509.297 * * [simplify]: Extracting #12: cost 0 inf + 104533 509.333 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 509.333 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 509.334 * * * * [progress]: [ 1691 / 5906 ] simplifiying candidate # 509.334 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 509.335 * * [simplify]: iters left: 6 (48 enodes) 509.347 * * [simplify]: iters left: 5 (242 enodes) 509.409 * * [simplify]: Extracting #0: cost 1 inf + 0 509.409 * * [simplify]: Extracting #1: cost 3 inf + 0 509.409 * * [simplify]: Extracting #2: cost 6 inf + 0 509.409 * * [simplify]: Extracting #3: cost 58 inf + 0 509.410 * * [simplify]: Extracting #4: cost 143 inf + 0 509.410 * * [simplify]: Extracting #5: cost 202 inf + 290 509.411 * * [simplify]: Extracting #6: cost 225 inf + 5855 509.414 * * [simplify]: Extracting #7: cost 202 inf + 10839 509.418 * * [simplify]: Extracting #8: cost 140 inf + 23089 509.425 * * [simplify]: Extracting #9: cost 87 inf + 44274 509.435 * * [simplify]: Extracting #10: cost 50 inf + 60820 509.452 * * [simplify]: Extracting #11: cost 36 inf + 70850 509.488 * * [simplify]: Extracting #12: cost 1 inf + 105965 509.518 * * [simplify]: Extracting #13: cost 0 inf + 107790 509.544 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) 509.544 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 509.545 * * * * [progress]: [ 1692 / 5906 ] simplifiying candidate # 509.546 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 509.547 * * [simplify]: iters left: 6 (48 enodes) 509.571 * * [simplify]: iters left: 5 (242 enodes) 509.627 * * [simplify]: Extracting #0: cost 1 inf + 0 509.627 * * [simplify]: Extracting #1: cost 3 inf + 0 509.627 * * [simplify]: Extracting #2: cost 6 inf + 0 509.627 * * [simplify]: Extracting #3: cost 60 inf + 0 509.627 * * [simplify]: Extracting #4: cost 141 inf + 0 509.628 * * [simplify]: Extracting #5: cost 198 inf + 210 509.629 * * [simplify]: Extracting #6: cost 232 inf + 3996 509.631 * * [simplify]: Extracting #7: cost 208 inf + 9181 509.634 * * [simplify]: Extracting #8: cost 156 inf + 18275 509.640 * * [simplify]: Extracting #9: cost 102 inf + 34346 509.649 * * [simplify]: Extracting #10: cost 57 inf + 56726 509.675 * * [simplify]: Extracting #11: cost 37 inf + 69697 509.710 * * [simplify]: Extracting #12: cost 4 inf + 102202 509.732 * * [simplify]: Extracting #13: cost 0 inf + 106902 509.768 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (+ phi1 phi2) (- phi1 phi2))))))) 509.768 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (+ phi1 phi2) (- phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 509.770 * * * * [progress]: [ 1693 / 5906 ] simplifiying candidate # 509.770 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 509.771 * * [simplify]: iters left: 6 (42 enodes) 509.792 * * [simplify]: iters left: 5 (206 enodes) 509.863 * * [simplify]: Extracting #0: cost 1 inf + 0 509.864 * * [simplify]: Extracting #1: cost 3 inf + 0 509.864 * * [simplify]: Extracting #2: cost 6 inf + 0 509.864 * * [simplify]: Extracting #3: cost 52 inf + 0 509.864 * * [simplify]: Extracting #4: cost 109 inf + 0 509.864 * * [simplify]: Extracting #5: cost 150 inf + 44 509.865 * * [simplify]: Extracting #6: cost 199 inf + 1153 509.866 * * [simplify]: Extracting #7: cost 182 inf + 4765 509.869 * * [simplify]: Extracting #8: cost 120 inf + 16258 509.875 * * [simplify]: Extracting #9: cost 77 inf + 31279 509.885 * * [simplify]: Extracting #10: cost 28 inf + 58937 509.916 * * [simplify]: Extracting #11: cost 7 inf + 77146 509.953 * * [simplify]: Extracting #12: cost 1 inf + 83256 509.988 * * [simplify]: Extracting #13: cost 0 inf + 84881 510.023 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) 510.023 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 510.024 * * * * [progress]: [ 1694 / 5906 ] simplifiying candidate # 510.024 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 510.025 * * [simplify]: iters left: 6 (47 enodes) 510.043 * * [simplify]: iters left: 5 (234 enodes) 510.103 * * [simplify]: Extracting #0: cost 1 inf + 0 510.103 * * [simplify]: Extracting #1: cost 3 inf + 0 510.104 * * [simplify]: Extracting #2: cost 10 inf + 0 510.104 * * [simplify]: Extracting #3: cost 72 inf + 0 510.104 * * [simplify]: Extracting #4: cost 126 inf + 42 510.105 * * [simplify]: Extracting #5: cost 170 inf + 290 510.107 * * [simplify]: Extracting #6: cost 217 inf + 2608 510.110 * * [simplify]: Extracting #7: cost 203 inf + 6415 510.115 * * [simplify]: Extracting #8: cost 161 inf + 12659 510.124 * * [simplify]: Extracting #9: cost 99 inf + 33151 510.145 * * [simplify]: Extracting #10: cost 32 inf + 68883 510.175 * * [simplify]: Extracting #11: cost 3 inf + 93937 510.196 * * [simplify]: Extracting #12: cost 0 inf + 99132 510.223 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 510.223 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 510.224 * * * * [progress]: [ 1695 / 5906 ] simplifiying candidate # 510.224 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 510.224 * * [simplify]: iters left: 6 (42 enodes) 510.238 * * [simplify]: iters left: 5 (206 enodes) 510.291 * * [simplify]: Extracting #0: cost 1 inf + 0 510.291 * * [simplify]: Extracting #1: cost 3 inf + 0 510.291 * * [simplify]: Extracting #2: cost 10 inf + 0 510.291 * * [simplify]: Extracting #3: cost 64 inf + 0 510.292 * * [simplify]: Extracting #4: cost 105 inf + 208 510.293 * * [simplify]: Extracting #5: cost 128 inf + 2200 510.295 * * [simplify]: Extracting #6: cost 186 inf + 2932 510.297 * * [simplify]: Extracting #7: cost 184 inf + 4197 510.306 * * [simplify]: Extracting #8: cost 121 inf + 16817 510.318 * * [simplify]: Extracting #9: cost 69 inf + 35813 510.329 * * [simplify]: Extracting #10: cost 20 inf + 64374 510.347 * * [simplify]: Extracting #11: cost 1 inf + 80266 510.377 * * [simplify]: Extracting #12: cost 0 inf + 81731 510.394 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) 510.394 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 510.395 * * * * [progress]: [ 1696 / 5906 ] simplifiying candidate # 510.395 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 510.395 * * [simplify]: iters left: 6 (47 enodes) 510.411 * * [simplify]: iters left: 5 (234 enodes) 510.476 * * [simplify]: Extracting #0: cost 1 inf + 0 510.476 * * [simplify]: Extracting #1: cost 3 inf + 0 510.476 * * [simplify]: Extracting #2: cost 10 inf + 0 510.476 * * [simplify]: Extracting #3: cost 72 inf + 0 510.477 * * [simplify]: Extracting #4: cost 126 inf + 42 510.478 * * [simplify]: Extracting #5: cost 169 inf + 332 510.480 * * [simplify]: Extracting #6: cost 212 inf + 3778 510.483 * * [simplify]: Extracting #7: cost 204 inf + 6213 510.487 * * [simplify]: Extracting #8: cost 162 inf + 12407 510.496 * * [simplify]: Extracting #9: cost 99 inf + 32931 510.517 * * [simplify]: Extracting #10: cost 32 inf + 69523 510.548 * * [simplify]: Extracting #11: cost 3 inf + 94897 510.571 * * [simplify]: Extracting #12: cost 1 inf + 98347 510.608 * * [simplify]: Extracting #13: cost 0 inf + 100092 510.646 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 510.647 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 510.648 * * * * [progress]: [ 1697 / 5906 ] simplifiying candidate # 510.648 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 510.649 * * [simplify]: iters left: 6 (42 enodes) 510.662 * * [simplify]: iters left: 5 (206 enodes) 510.727 * * [simplify]: Extracting #0: cost 1 inf + 0 510.727 * * [simplify]: Extracting #1: cost 3 inf + 0 510.727 * * [simplify]: Extracting #2: cost 10 inf + 0 510.727 * * [simplify]: Extracting #3: cost 63 inf + 0 510.728 * * [simplify]: Extracting #4: cost 106 inf + 86 510.729 * * [simplify]: Extracting #5: cost 130 inf + 1876 510.731 * * [simplify]: Extracting #6: cost 186 inf + 2932 510.733 * * [simplify]: Extracting #7: cost 184 inf + 4197 510.740 * * [simplify]: Extracting #8: cost 119 inf + 17181 510.752 * * [simplify]: Extracting #9: cost 67 inf + 36829 510.773 * * [simplify]: Extracting #10: cost 20 inf + 64694 510.805 * * [simplify]: Extracting #11: cost 1 inf + 80666 510.841 * * [simplify]: Extracting #12: cost 0 inf + 82131 510.873 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) 510.873 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 510.874 * * * * [progress]: [ 1698 / 5906 ] simplifiying candidate # 510.875 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 510.875 * * [simplify]: iters left: 6 (47 enodes) 510.900 * * [simplify]: iters left: 5 (229 enodes) 510.968 * * [simplify]: Extracting #0: cost 1 inf + 0 510.968 * * [simplify]: Extracting #1: cost 3 inf + 0 510.968 * * [simplify]: Extracting #2: cost 6 inf + 0 510.968 * * [simplify]: Extracting #3: cost 48 inf + 0 510.968 * * [simplify]: Extracting #4: cost 112 inf + 0 510.969 * * [simplify]: Extracting #5: cost 184 inf + 0 510.970 * * [simplify]: Extracting #6: cost 249 inf + 379 510.973 * * [simplify]: Extracting #7: cost 217 inf + 4773 510.976 * * [simplify]: Extracting #8: cost 143 inf + 19433 510.982 * * [simplify]: Extracting #9: cost 86 inf + 37398 510.992 * * [simplify]: Extracting #10: cost 41 inf + 58716 511.009 * * [simplify]: Extracting #11: cost 8 inf + 87779 511.041 * * [simplify]: Extracting #12: cost 0 inf + 97699 511.062 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 511.062 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 511.062 * * * * [progress]: [ 1699 / 5906 ] simplifiying candidate # 511.063 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 511.063 * * [simplify]: iters left: 6 (48 enodes) 511.085 * * [simplify]: iters left: 5 (238 enodes) 511.152 * * [simplify]: Extracting #0: cost 1 inf + 0 511.152 * * [simplify]: Extracting #1: cost 3 inf + 0 511.152 * * [simplify]: Extracting #2: cost 6 inf + 0 511.152 * * [simplify]: Extracting #3: cost 52 inf + 0 511.152 * * [simplify]: Extracting #4: cost 135 inf + 0 511.153 * * [simplify]: Extracting #5: cost 192 inf + 454 511.155 * * [simplify]: Extracting #6: cost 212 inf + 7426 511.157 * * [simplify]: Extracting #7: cost 188 inf + 12331 511.162 * * [simplify]: Extracting #8: cost 117 inf + 27769 511.173 * * [simplify]: Extracting #9: cost 49 inf + 56227 511.188 * * [simplify]: Extracting #10: cost 24 inf + 76596 511.217 * * [simplify]: Extracting #11: cost 3 inf + 96321 511.255 * * [simplify]: Extracting #12: cost 0 inf + 99236 511.294 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) 511.294 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 511.295 * * * * [progress]: [ 1700 / 5906 ] simplifiying candidate # 511.295 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 511.296 * * [simplify]: iters left: 6 (48 enodes) 511.320 * * [simplify]: iters left: 5 (238 enodes) 511.395 * * [simplify]: Extracting #0: cost 1 inf + 0 511.395 * * [simplify]: Extracting #1: cost 3 inf + 0 511.395 * * [simplify]: Extracting #2: cost 6 inf + 0 511.395 * * [simplify]: Extracting #3: cost 54 inf + 0 511.396 * * [simplify]: Extracting #4: cost 133 inf + 0 511.396 * * [simplify]: Extracting #5: cost 190 inf + 210 511.399 * * [simplify]: Extracting #6: cost 225 inf + 3833 511.403 * * [simplify]: Extracting #7: cost 191 inf + 11257 511.411 * * [simplify]: Extracting #8: cost 136 inf + 20189 511.424 * * [simplify]: Extracting #9: cost 80 inf + 42210 511.448 * * [simplify]: Extracting #10: cost 38 inf + 63078 511.468 * * [simplify]: Extracting #11: cost 7 inf + 90333 511.489 * * [simplify]: Extracting #12: cost 0 inf + 98228 511.514 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (+ phi1 phi2) (- phi1 phi2)))))) 511.514 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (+ phi1 phi2) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 511.515 * * * * [progress]: [ 1701 / 5906 ] simplifiying candidate # 511.515 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 511.515 * * [simplify]: iters left: 6 (42 enodes) 511.526 * * [simplify]: iters left: 5 (203 enodes) 511.600 * * [simplify]: Extracting #0: cost 1 inf + 0 511.600 * * [simplify]: Extracting #1: cost 3 inf + 0 511.600 * * [simplify]: Extracting #2: cost 6 inf + 0 511.600 * * [simplify]: Extracting #3: cost 46 inf + 0 511.601 * * [simplify]: Extracting #4: cost 101 inf + 0 511.601 * * [simplify]: Extracting #5: cost 140 inf + 126 511.603 * * [simplify]: Extracting #6: cost 191 inf + 1071 511.605 * * [simplify]: Extracting #7: cost 176 inf + 4281 511.610 * * [simplify]: Extracting #8: cost 115 inf + 15652 511.623 * * [simplify]: Extracting #9: cost 56 inf + 38786 511.636 * * [simplify]: Extracting #10: cost 25 inf + 55239 511.652 * * [simplify]: Extracting #11: cost 6 inf + 72537 511.678 * * [simplify]: Extracting #12: cost 0 inf + 78647 511.713 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))) 511.713 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 511.714 * * * * [progress]: [ 1702 / 5906 ] simplifiying candidate # 511.715 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 511.715 * * [simplify]: iters left: 6 (47 enodes) 511.739 * * [simplify]: iters left: 5 (231 enodes) 511.805 * * [simplify]: Extracting #0: cost 1 inf + 0 511.805 * * [simplify]: Extracting #1: cost 3 inf + 0 511.805 * * [simplify]: Extracting #2: cost 10 inf + 0 511.805 * * [simplify]: Extracting #3: cost 62 inf + 0 511.806 * * [simplify]: Extracting #4: cost 115 inf + 42 511.806 * * [simplify]: Extracting #5: cost 159 inf + 290 511.807 * * [simplify]: Extracting #6: cost 209 inf + 2604 511.809 * * [simplify]: Extracting #7: cost 191 inf + 6456 511.811 * * [simplify]: Extracting #8: cost 145 inf + 13841 511.817 * * [simplify]: Extracting #9: cost 85 inf + 35864 511.833 * * [simplify]: Extracting #10: cost 15 inf + 76538 511.864 * * [simplify]: Extracting #11: cost 1 inf + 88478 511.883 * * [simplify]: Extracting #12: cost 0 inf + 90223 511.914 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) 511.914 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 511.915 * * * * [progress]: [ 1703 / 5906 ] simplifiying candidate # 511.915 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 511.916 * * [simplify]: iters left: 6 (42 enodes) 511.939 * * [simplify]: iters left: 5 (204 enodes) 512.012 * * [simplify]: Extracting #0: cost 1 inf + 0 512.012 * * [simplify]: Extracting #1: cost 3 inf + 0 512.012 * * [simplify]: Extracting #2: cost 10 inf + 0 512.013 * * [simplify]: Extracting #3: cost 54 inf + 0 512.013 * * [simplify]: Extracting #4: cost 95 inf + 86 512.014 * * [simplify]: Extracting #5: cost 123 inf + 1148 512.015 * * [simplify]: Extracting #6: cost 175 inf + 2932 512.018 * * [simplify]: Extracting #7: cost 173 inf + 4236 512.024 * * [simplify]: Extracting #8: cost 98 inf + 21359 512.041 * * [simplify]: Extracting #9: cost 35 inf + 48795 512.068 * * [simplify]: Extracting #10: cost 3 inf + 70227 512.099 * * [simplify]: Extracting #11: cost 1 inf + 71677 512.117 * * [simplify]: Extracting #12: cost 0 inf + 73182 512.132 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 512.132 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 512.133 * * * * [progress]: [ 1704 / 5906 ] simplifiying candidate # 512.133 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 512.134 * * [simplify]: iters left: 6 (47 enodes) 512.158 * * [simplify]: iters left: 5 (231 enodes) 512.229 * * [simplify]: Extracting #0: cost 1 inf + 0 512.229 * * [simplify]: Extracting #1: cost 3 inf + 0 512.229 * * [simplify]: Extracting #2: cost 10 inf + 0 512.229 * * [simplify]: Extracting #3: cost 62 inf + 0 512.229 * * [simplify]: Extracting #4: cost 115 inf + 42 512.230 * * [simplify]: Extracting #5: cost 156 inf + 535 512.231 * * [simplify]: Extracting #6: cost 201 inf + 3939 512.232 * * [simplify]: Extracting #7: cost 193 inf + 6173 512.235 * * [simplify]: Extracting #8: cost 147 inf + 13146 512.240 * * [simplify]: Extracting #9: cost 87 inf + 35134 512.254 * * [simplify]: Extracting #10: cost 15 inf + 77178 512.280 * * [simplify]: Extracting #11: cost 1 inf + 89278 512.299 * * [simplify]: Extracting #12: cost 0 inf + 91023 512.337 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) 512.337 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 512.338 * * * * [progress]: [ 1705 / 5906 ] simplifiying candidate # 512.339 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 512.340 * * [simplify]: iters left: 6 (42 enodes) 512.360 * * [simplify]: iters left: 5 (204 enodes) 512.435 * * [simplify]: Extracting #0: cost 1 inf + 0 512.435 * * [simplify]: Extracting #1: cost 3 inf + 0 512.435 * * [simplify]: Extracting #2: cost 10 inf + 0 512.435 * * [simplify]: Extracting #3: cost 53 inf + 0 512.435 * * [simplify]: Extracting #4: cost 95 inf + 86 512.436 * * [simplify]: Extracting #5: cost 123 inf + 1228 512.438 * * [simplify]: Extracting #6: cost 175 inf + 2932 512.440 * * [simplify]: Extracting #7: cost 173 inf + 4236 512.447 * * [simplify]: Extracting #8: cost 99 inf + 21237 512.467 * * [simplify]: Extracting #9: cost 35 inf + 48915 512.493 * * [simplify]: Extracting #10: cost 3 inf + 70547 512.522 * * [simplify]: Extracting #11: cost 1 inf + 71997 512.549 * * [simplify]: Extracting #12: cost 0 inf + 73502 512.577 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 512.577 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 512.578 * * * * [progress]: [ 1706 / 5906 ] simplifiying candidate # 512.578 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 512.579 * * [simplify]: iters left: 6 (52 enodes) 512.603 * * [simplify]: iters left: 5 (254 enodes) 512.706 * * [simplify]: Extracting #0: cost 1 inf + 0 512.706 * * [simplify]: Extracting #1: cost 3 inf + 0 512.706 * * [simplify]: Extracting #2: cost 6 inf + 0 512.706 * * [simplify]: Extracting #3: cost 56 inf + 0 512.707 * * [simplify]: Extracting #4: cost 130 inf + 0 512.708 * * [simplify]: Extracting #5: cost 210 inf + 0 512.709 * * [simplify]: Extracting #6: cost 288 inf + 298 512.712 * * [simplify]: Extracting #7: cost 246 inf + 7272 512.718 * * [simplify]: Extracting #8: cost 172 inf + 20483 512.726 * * [simplify]: Extracting #9: cost 112 inf + 38698 512.736 * * [simplify]: Extracting #10: cost 60 inf + 61066 512.769 * * [simplify]: Extracting #11: cost 10 inf + 113409 512.799 * * [simplify]: Extracting #12: cost 1 inf + 123754 512.838 * * [simplify]: Extracting #13: cost 0 inf + 125859 512.868 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) 512.869 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 512.869 * * * * [progress]: [ 1707 / 5906 ] simplifiying candidate # 512.870 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 512.870 * * [simplify]: iters left: 6 (53 enodes) 512.891 * * [simplify]: iters left: 5 (263 enodes) 512.966 * * [simplify]: Extracting #0: cost 1 inf + 0 512.966 * * [simplify]: Extracting #1: cost 3 inf + 0 512.966 * * [simplify]: Extracting #2: cost 6 inf + 0 512.966 * * [simplify]: Extracting #3: cost 60 inf + 0 512.966 * * [simplify]: Extracting #4: cost 153 inf + 0 512.967 * * [simplify]: Extracting #5: cost 223 inf + 86 512.968 * * [simplify]: Extracting #6: cost 266 inf + 4556 512.971 * * [simplify]: Extracting #7: cost 230 inf + 10916 512.975 * * [simplify]: Extracting #8: cost 171 inf + 21909 512.985 * * [simplify]: Extracting #9: cost 105 inf + 48299 512.998 * * [simplify]: Extracting #10: cost 49 inf + 74131 513.014 * * [simplify]: Extracting #11: cost 45 inf + 76911 513.053 * * [simplify]: Extracting #12: cost 12 inf + 112256 513.101 * * [simplify]: Extracting #13: cost 0 inf + 127436 513.149 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 513.150 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 513.151 * * * * [progress]: [ 1708 / 5906 ] simplifiying candidate # 513.151 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 513.152 * * [simplify]: iters left: 6 (53 enodes) 513.179 * * [simplify]: iters left: 5 (263 enodes) 513.257 * * [simplify]: Extracting #0: cost 1 inf + 0 513.257 * * [simplify]: Extracting #1: cost 3 inf + 0 513.257 * * [simplify]: Extracting #2: cost 6 inf + 0 513.257 * * [simplify]: Extracting #3: cost 62 inf + 0 513.258 * * [simplify]: Extracting #4: cost 151 inf + 0 513.259 * * [simplify]: Extracting #5: cost 220 inf + 44 513.262 * * [simplify]: Extracting #6: cost 255 inf + 6091 513.267 * * [simplify]: Extracting #7: cost 230 inf + 10428 513.274 * * [simplify]: Extracting #8: cost 168 inf + 21468 513.289 * * [simplify]: Extracting #9: cost 107 inf + 45922 513.314 * * [simplify]: Extracting #10: cost 49 inf + 72563 513.352 * * [simplify]: Extracting #11: cost 15 inf + 107773 513.391 * * [simplify]: Extracting #12: cost 0 inf + 125108 513.424 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 513.424 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 513.426 * * * * [progress]: [ 1709 / 5906 ] simplifiying candidate # 513.426 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 513.427 * * [simplify]: iters left: 6 (47 enodes) 513.446 * * [simplify]: iters left: 5 (227 enodes) 513.502 * * [simplify]: Extracting #0: cost 1 inf + 0 513.502 * * [simplify]: Extracting #1: cost 3 inf + 0 513.502 * * [simplify]: Extracting #2: cost 6 inf + 0 513.503 * * [simplify]: Extracting #3: cost 54 inf + 0 513.503 * * [simplify]: Extracting #4: cost 119 inf + 0 513.504 * * [simplify]: Extracting #5: cost 168 inf + 44 513.505 * * [simplify]: Extracting #6: cost 228 inf + 1435 513.508 * * [simplify]: Extracting #7: cost 210 inf + 4362 513.511 * * [simplify]: Extracting #8: cost 174 inf + 9076 513.520 * * [simplify]: Extracting #9: cost 111 inf + 26938 513.537 * * [simplify]: Extracting #10: cost 52 inf + 53343 513.566 * * [simplify]: Extracting #11: cost 6 inf + 93217 513.601 * * [simplify]: Extracting #12: cost 1 inf + 99702 513.623 * * [simplify]: Extracting #13: cost 0 inf + 101607 513.666 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) 513.666 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 513.667 * * * * [progress]: [ 1710 / 5906 ] simplifiying candidate # 513.668 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 513.668 * * [simplify]: iters left: 6 (52 enodes) 513.695 * * [simplify]: iters left: 5 (255 enodes) 513.787 * * [simplify]: Extracting #0: cost 1 inf + 0 513.787 * * [simplify]: Extracting #1: cost 3 inf + 0 513.787 * * [simplify]: Extracting #2: cost 10 inf + 0 513.787 * * [simplify]: Extracting #3: cost 74 inf + 0 513.790 * * [simplify]: Extracting #4: cost 137 inf + 1 513.791 * * [simplify]: Extracting #5: cost 190 inf + 207 513.792 * * [simplify]: Extracting #6: cost 251 inf + 2524 513.794 * * [simplify]: Extracting #7: cost 218 inf + 7479 513.798 * * [simplify]: Extracting #8: cost 129 inf + 29870 513.817 * * [simplify]: Extracting #9: cost 54 inf + 63095 513.853 * * [simplify]: Extracting #10: cost 9 inf + 104833 513.899 * * [simplify]: Extracting #11: cost 1 inf + 114513 513.927 * * [simplify]: Extracting #12: cost 0 inf + 116538 513.952 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 513.952 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 513.953 * * * * [progress]: [ 1711 / 5906 ] simplifiying candidate # 513.953 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 513.953 * * [simplify]: iters left: 6 (47 enodes) 513.966 * * [simplify]: iters left: 5 (227 enodes) 514.014 * * [simplify]: Extracting #0: cost 1 inf + 0 514.014 * * [simplify]: Extracting #1: cost 3 inf + 0 514.014 * * [simplify]: Extracting #2: cost 10 inf + 0 514.015 * * [simplify]: Extracting #3: cost 66 inf + 0 514.015 * * [simplify]: Extracting #4: cost 117 inf + 44 514.016 * * [simplify]: Extracting #5: cost 153 inf + 1106 514.018 * * [simplify]: Extracting #6: cost 216 inf + 2932 514.021 * * [simplify]: Extracting #7: cost 210 inf + 4115 514.029 * * [simplify]: Extracting #8: cost 164 inf + 11494 514.040 * * [simplify]: Extracting #9: cost 103 inf + 33504 514.060 * * [simplify]: Extracting #10: cost 44 inf + 57370 514.080 * * [simplify]: Extracting #11: cost 16 inf + 78617 514.099 * * [simplify]: Extracting #12: cost 3 inf + 91902 514.126 * * [simplify]: Extracting #13: cost 1 inf + 95512 514.146 * * [simplify]: Extracting #14: cost 0 inf + 97337 514.180 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) 514.180 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 514.181 * * * * [progress]: [ 1712 / 5906 ] simplifiying candidate # 514.182 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 514.182 * * [simplify]: iters left: 6 (52 enodes) 514.207 * * [simplify]: iters left: 5 (255 enodes) 514.285 * * [simplify]: Extracting #0: cost 1 inf + 0 514.285 * * [simplify]: Extracting #1: cost 3 inf + 0 514.285 * * [simplify]: Extracting #2: cost 10 inf + 0 514.285 * * [simplify]: Extracting #3: cost 74 inf + 0 514.286 * * [simplify]: Extracting #4: cost 137 inf + 1 514.287 * * [simplify]: Extracting #5: cost 190 inf + 207 514.289 * * [simplify]: Extracting #6: cost 255 inf + 1436 514.292 * * [simplify]: Extracting #7: cost 222 inf + 6471 514.302 * * [simplify]: Extracting #8: cost 130 inf + 29618 514.318 * * [simplify]: Extracting #9: cost 54 inf + 64215 514.341 * * [simplify]: Extracting #10: cost 9 inf + 105793 514.364 * * [simplify]: Extracting #11: cost 1 inf + 115473 514.408 * * [simplify]: Extracting #12: cost 0 inf + 117498 514.457 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 514.457 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 514.458 * * * * [progress]: [ 1713 / 5906 ] simplifiying candidate # 514.459 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 514.459 * * [simplify]: iters left: 6 (47 enodes) 514.474 * * [simplify]: iters left: 5 (227 enodes) 514.520 * * [simplify]: Extracting #0: cost 1 inf + 0 514.520 * * [simplify]: Extracting #1: cost 3 inf + 0 514.520 * * [simplify]: Extracting #2: cost 10 inf + 0 514.521 * * [simplify]: Extracting #3: cost 65 inf + 0 514.521 * * [simplify]: Extracting #4: cost 116 inf + 86 514.521 * * [simplify]: Extracting #5: cost 149 inf + 1634 514.522 * * [simplify]: Extracting #6: cost 216 inf + 2932 514.524 * * [simplify]: Extracting #7: cost 211 inf + 3994 514.527 * * [simplify]: Extracting #8: cost 167 inf + 11009 514.538 * * [simplify]: Extracting #9: cost 95 inf + 37162 514.555 * * [simplify]: Extracting #10: cost 41 inf + 59045 514.569 * * [simplify]: Extracting #11: cost 16 inf + 78817 514.593 * * [simplify]: Extracting #12: cost 3 inf + 92382 514.622 * * [simplify]: Extracting #13: cost 1 inf + 95992 514.643 * * [simplify]: Extracting #14: cost 0 inf + 97817 514.664 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) 514.664 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 514.664 * * * * [progress]: [ 1714 / 5906 ] simplifiying candidate # 514.665 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 514.665 * * [simplify]: iters left: 6 (52 enodes) 514.679 * * [simplify]: iters left: 5 (254 enodes) 514.756 * * [simplify]: Extracting #0: cost 1 inf + 0 514.756 * * [simplify]: Extracting #1: cost 3 inf + 0 514.756 * * [simplify]: Extracting #2: cost 6 inf + 0 514.756 * * [simplify]: Extracting #3: cost 56 inf + 0 514.756 * * [simplify]: Extracting #4: cost 130 inf + 0 514.757 * * [simplify]: Extracting #5: cost 210 inf + 0 514.758 * * [simplify]: Extracting #6: cost 281 inf + 425 514.760 * * [simplify]: Extracting #7: cost 207 inf + 14042 514.765 * * [simplify]: Extracting #8: cost 141 inf + 31314 514.773 * * [simplify]: Extracting #9: cost 101 inf + 44724 514.784 * * [simplify]: Extracting #10: cost 55 inf + 64507 514.813 * * [simplify]: Extracting #11: cost 13 inf + 108757 514.859 * * [simplify]: Extracting #12: cost 1 inf + 121777 514.904 * * [simplify]: Extracting #13: cost 0 inf + 123842 514.928 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 514.928 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 514.930 * * * * [progress]: [ 1715 / 5906 ] simplifiying candidate # 514.930 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 514.931 * * [simplify]: iters left: 6 (53 enodes) 514.958 * * [simplify]: iters left: 5 (263 enodes) 515.046 * * [simplify]: Extracting #0: cost 1 inf + 0 515.046 * * [simplify]: Extracting #1: cost 3 inf + 0 515.046 * * [simplify]: Extracting #2: cost 6 inf + 0 515.046 * * [simplify]: Extracting #3: cost 60 inf + 0 515.047 * * [simplify]: Extracting #4: cost 153 inf + 0 515.048 * * [simplify]: Extracting #5: cost 224 inf + 44 515.050 * * [simplify]: Extracting #6: cost 258 inf + 4925 515.056 * * [simplify]: Extracting #7: cost 203 inf + 15176 515.065 * * [simplify]: Extracting #8: cost 140 inf + 36178 515.075 * * [simplify]: Extracting #9: cost 88 inf + 58352 515.087 * * [simplify]: Extracting #10: cost 50 inf + 72731 515.115 * * [simplify]: Extracting #11: cost 11 inf + 111784 515.144 * * [simplify]: Extracting #12: cost 0 inf + 126339 515.175 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 515.175 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 515.176 * * * * [progress]: [ 1716 / 5906 ] simplifiying candidate # 515.176 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 515.176 * * [simplify]: iters left: 6 (53 enodes) 515.191 * * [simplify]: iters left: 5 (263 enodes) 515.275 * * [simplify]: Extracting #0: cost 1 inf + 0 515.275 * * [simplify]: Extracting #1: cost 3 inf + 0 515.275 * * [simplify]: Extracting #2: cost 6 inf + 0 515.276 * * [simplify]: Extracting #3: cost 62 inf + 0 515.276 * * [simplify]: Extracting #4: cost 151 inf + 0 515.277 * * [simplify]: Extracting #5: cost 220 inf + 44 515.280 * * [simplify]: Extracting #6: cost 252 inf + 5169 515.284 * * [simplify]: Extracting #7: cost 184 inf + 19367 515.290 * * [simplify]: Extracting #8: cost 136 inf + 37691 515.300 * * [simplify]: Extracting #9: cost 93 inf + 55321 515.322 * * [simplify]: Extracting #10: cost 48 inf + 72571 515.353 * * [simplify]: Extracting #11: cost 17 inf + 102426 515.380 * * [simplify]: Extracting #12: cost 0 inf + 122571 515.427 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 515.427 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 515.428 * * * * [progress]: [ 1717 / 5906 ] simplifiying candidate # 515.428 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 515.429 * * [simplify]: iters left: 6 (47 enodes) 515.453 * * [simplify]: iters left: 5 (227 enodes) 515.517 * * [simplify]: Extracting #0: cost 1 inf + 0 515.517 * * [simplify]: Extracting #1: cost 3 inf + 0 515.517 * * [simplify]: Extracting #2: cost 6 inf + 0 515.517 * * [simplify]: Extracting #3: cost 54 inf + 0 515.517 * * [simplify]: Extracting #4: cost 119 inf + 0 515.518 * * [simplify]: Extracting #5: cost 168 inf + 44 515.519 * * [simplify]: Extracting #6: cost 222 inf + 1520 515.521 * * [simplify]: Extracting #7: cost 183 inf + 7897 515.524 * * [simplify]: Extracting #8: cost 141 inf + 18439 515.531 * * [simplify]: Extracting #9: cost 88 inf + 41949 515.542 * * [simplify]: Extracting #10: cost 43 inf + 59301 515.577 * * [simplify]: Extracting #11: cost 4 inf + 93090 515.614 * * [simplify]: Extracting #12: cost 1 inf + 97685 515.649 * * [simplify]: Extracting #13: cost 0 inf + 99550 515.668 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) 515.668 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 515.669 * * * * [progress]: [ 1718 / 5906 ] simplifiying candidate # 515.669 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 515.670 * * [simplify]: iters left: 6 (52 enodes) 515.689 * * [simplify]: iters left: 5 (255 enodes) 515.761 * * [simplify]: Extracting #0: cost 1 inf + 0 515.761 * * [simplify]: Extracting #1: cost 3 inf + 0 515.761 * * [simplify]: Extracting #2: cost 10 inf + 0 515.762 * * [simplify]: Extracting #3: cost 74 inf + 0 515.762 * * [simplify]: Extracting #4: cost 137 inf + 1 515.763 * * [simplify]: Extracting #5: cost 190 inf + 207 515.766 * * [simplify]: Extracting #6: cost 229 inf + 4199 515.772 * * [simplify]: Extracting #7: cost 181 inf + 15643 515.785 * * [simplify]: Extracting #8: cost 112 inf + 40588 515.806 * * [simplify]: Extracting #9: cost 46 inf + 67651 515.835 * * [simplify]: Extracting #10: cost 8 inf + 105321 515.858 * * [simplify]: Extracting #11: cost 1 inf + 113096 515.904 * * [simplify]: Extracting #12: cost 0 inf + 115121 515.949 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 515.949 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 515.950 * * * * [progress]: [ 1719 / 5906 ] simplifiying candidate # 515.950 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 515.951 * * [simplify]: iters left: 6 (47 enodes) 515.973 * * [simplify]: iters left: 5 (227 enodes) 516.036 * * [simplify]: Extracting #0: cost 1 inf + 0 516.036 * * [simplify]: Extracting #1: cost 3 inf + 0 516.036 * * [simplify]: Extracting #2: cost 10 inf + 0 516.036 * * [simplify]: Extracting #3: cost 66 inf + 0 516.036 * * [simplify]: Extracting #4: cost 117 inf + 44 516.037 * * [simplify]: Extracting #5: cost 153 inf + 1186 516.038 * * [simplify]: Extracting #6: cost 210 inf + 3057 516.040 * * [simplify]: Extracting #7: cost 183 inf + 7413 516.044 * * [simplify]: Extracting #8: cost 135 inf + 21577 516.050 * * [simplify]: Extracting #9: cost 89 inf + 40830 516.069 * * [simplify]: Extracting #10: cost 38 inf + 58810 516.099 * * [simplify]: Extracting #11: cost 16 inf + 76360 516.123 * * [simplify]: Extracting #12: cost 3 inf + 90125 516.142 * * [simplify]: Extracting #13: cost 1 inf + 93655 516.180 * * [simplify]: Extracting #14: cost 0 inf + 95440 516.217 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ phi1 phi2))))) 516.217 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 516.218 * * * * [progress]: [ 1720 / 5906 ] simplifiying candidate # 516.218 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 516.218 * * [simplify]: iters left: 6 (52 enodes) 516.231 * * [simplify]: iters left: 5 (255 enodes) 516.307 * * [simplify]: Extracting #0: cost 1 inf + 0 516.307 * * [simplify]: Extracting #1: cost 3 inf + 0 516.307 * * [simplify]: Extracting #2: cost 10 inf + 0 516.307 * * [simplify]: Extracting #3: cost 74 inf + 0 516.307 * * [simplify]: Extracting #4: cost 137 inf + 1 516.308 * * [simplify]: Extracting #5: cost 190 inf + 207 516.310 * * [simplify]: Extracting #6: cost 235 inf + 2908 516.316 * * [simplify]: Extracting #7: cost 186 inf + 14029 516.326 * * [simplify]: Extracting #8: cost 112 inf + 41249 516.340 * * [simplify]: Extracting #9: cost 47 inf + 67986 516.360 * * [simplify]: Extracting #10: cost 8 inf + 106281 516.404 * * [simplify]: Extracting #11: cost 1 inf + 114056 516.430 * * [simplify]: Extracting #12: cost 0 inf + 116081 516.459 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 516.459 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 516.460 * * * * [progress]: [ 1721 / 5906 ] simplifiying candidate # 516.460 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 516.460 * * [simplify]: iters left: 6 (47 enodes) 516.477 * * [simplify]: iters left: 5 (227 enodes) 516.544 * * [simplify]: Extracting #0: cost 1 inf + 0 516.544 * * [simplify]: Extracting #1: cost 3 inf + 0 516.544 * * [simplify]: Extracting #2: cost 10 inf + 0 516.545 * * [simplify]: Extracting #3: cost 65 inf + 0 516.545 * * [simplify]: Extracting #4: cost 116 inf + 86 516.546 * * [simplify]: Extracting #5: cost 149 inf + 1634 516.548 * * [simplify]: Extracting #6: cost 210 inf + 3017 516.551 * * [simplify]: Extracting #7: cost 186 inf + 7007 516.559 * * [simplify]: Extracting #8: cost 136 inf + 21493 516.572 * * [simplify]: Extracting #9: cost 88 inf + 41255 516.589 * * [simplify]: Extracting #10: cost 39 inf + 58665 516.603 * * [simplify]: Extracting #11: cost 16 inf + 76760 516.628 * * [simplify]: Extracting #12: cost 3 inf + 90525 516.648 * * [simplify]: Extracting #13: cost 1 inf + 94055 516.671 * * [simplify]: Extracting #14: cost 0 inf + 95840 516.707 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ phi1 phi2))))) 516.707 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 516.708 * * * * [progress]: [ 1722 / 5906 ] simplifiying candidate # 516.709 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 516.709 * * [simplify]: iters left: 6 (52 enodes) 516.729 * * [simplify]: iters left: 5 (255 enodes) 516.796 * * [simplify]: Extracting #0: cost 1 inf + 0 516.796 * * [simplify]: Extracting #1: cost 3 inf + 0 516.796 * * [simplify]: Extracting #2: cost 6 inf + 0 516.796 * * [simplify]: Extracting #3: cost 56 inf + 0 516.796 * * [simplify]: Extracting #4: cost 130 inf + 0 516.797 * * [simplify]: Extracting #5: cost 209 inf + 0 516.798 * * [simplify]: Extracting #6: cost 289 inf + 257 516.799 * * [simplify]: Extracting #7: cost 246 inf + 7222 516.806 * * [simplify]: Extracting #8: cost 164 inf + 25458 516.814 * * [simplify]: Extracting #9: cost 99 inf + 46825 516.826 * * [simplify]: Extracting #10: cost 57 inf + 65396 516.856 * * [simplify]: Extracting #11: cost 12 inf + 111679 516.904 * * [simplify]: Extracting #12: cost 0 inf + 124779 516.930 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 516.930 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 516.931 * * * * [progress]: [ 1723 / 5906 ] simplifiying candidate # 516.931 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 516.931 * * [simplify]: iters left: 6 (53 enodes) 516.954 * * [simplify]: iters left: 5 (264 enodes) 517.024 * * [simplify]: Extracting #0: cost 1 inf + 0 517.024 * * [simplify]: Extracting #1: cost 3 inf + 0 517.024 * * [simplify]: Extracting #2: cost 6 inf + 0 517.025 * * [simplify]: Extracting #3: cost 60 inf + 0 517.025 * * [simplify]: Extracting #4: cost 153 inf + 0 517.026 * * [simplify]: Extracting #5: cost 223 inf + 44 517.032 * * [simplify]: Extracting #6: cost 265 inf + 4237 517.037 * * [simplify]: Extracting #7: cost 222 inf + 12090 517.048 * * [simplify]: Extracting #8: cost 142 inf + 31780 517.070 * * [simplify]: Extracting #9: cost 70 inf + 59891 517.101 * * [simplify]: Extracting #10: cost 38 inf + 84048 517.123 * * [simplify]: Extracting #11: cost 7 inf + 116941 517.156 * * [simplify]: Extracting #12: cost 0 inf + 127516 517.193 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 517.193 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 517.194 * * * * [progress]: [ 1724 / 5906 ] simplifiying candidate # 517.194 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 517.194 * * [simplify]: iters left: 6 (53 enodes) 517.208 * * [simplify]: iters left: 5 (264 enodes) 517.282 * * [simplify]: Extracting #0: cost 1 inf + 0 517.283 * * [simplify]: Extracting #1: cost 3 inf + 0 517.283 * * [simplify]: Extracting #2: cost 6 inf + 0 517.283 * * [simplify]: Extracting #3: cost 62 inf + 0 517.283 * * [simplify]: Extracting #4: cost 151 inf + 0 517.284 * * [simplify]: Extracting #5: cost 219 inf + 44 517.288 * * [simplify]: Extracting #6: cost 258 inf + 4962 517.292 * * [simplify]: Extracting #7: cost 230 inf + 10307 517.299 * * [simplify]: Extracting #8: cost 171 inf + 20942 517.314 * * [simplify]: Extracting #9: cost 101 inf + 48972 517.339 * * [simplify]: Extracting #10: cost 46 inf + 74918 517.370 * * [simplify]: Extracting #11: cost 17 inf + 104443 517.397 * * [simplify]: Extracting #12: cost 0 inf + 125188 517.435 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 517.435 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 517.436 * * * * [progress]: [ 1725 / 5906 ] simplifiying candidate # 517.436 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 517.437 * * [simplify]: iters left: 6 (47 enodes) 517.464 * * [simplify]: iters left: 5 (228 enodes) 517.541 * * [simplify]: Extracting #0: cost 1 inf + 0 517.541 * * [simplify]: Extracting #1: cost 3 inf + 0 517.541 * * [simplify]: Extracting #2: cost 6 inf + 0 517.541 * * [simplify]: Extracting #3: cost 54 inf + 0 517.541 * * [simplify]: Extracting #4: cost 119 inf + 0 517.542 * * [simplify]: Extracting #5: cost 167 inf + 44 517.543 * * [simplify]: Extracting #6: cost 224 inf + 1801 517.544 * * [simplify]: Extracting #7: cost 209 inf + 4603 517.548 * * [simplify]: Extracting #8: cost 174 inf + 9115 517.558 * * [simplify]: Extracting #9: cost 114 inf + 30078 517.573 * * [simplify]: Extracting #10: cost 49 inf + 57309 517.590 * * [simplify]: Extracting #11: cost 4 inf + 95507 517.625 * * [simplify]: Extracting #12: cost 1 inf + 100182 517.648 * * [simplify]: Extracting #13: cost 0 inf + 102087 517.681 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) 517.681 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 517.682 * * * * [progress]: [ 1726 / 5906 ] simplifiying candidate # 517.682 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 517.683 * * [simplify]: iters left: 6 (52 enodes) 517.695 * * [simplify]: iters left: 5 (256 enodes) 517.768 * * [simplify]: Extracting #0: cost 1 inf + 0 517.768 * * [simplify]: Extracting #1: cost 3 inf + 0 517.768 * * [simplify]: Extracting #2: cost 10 inf + 0 517.768 * * [simplify]: Extracting #3: cost 74 inf + 0 517.769 * * [simplify]: Extracting #4: cost 137 inf + 1 517.770 * * [simplify]: Extracting #5: cost 189 inf + 207 517.772 * * [simplify]: Extracting #6: cost 246 inf + 3333 517.776 * * [simplify]: Extracting #7: cost 210 inf + 9335 517.781 * * [simplify]: Extracting #8: cost 157 inf + 21123 517.788 * * [simplify]: Extracting #9: cost 103 inf + 43045 517.798 * * [simplify]: Extracting #10: cost 53 inf + 64293 517.819 * * [simplify]: Extracting #11: cost 31 inf + 80243 517.840 * * [simplify]: Extracting #12: cost 4 inf + 110918 517.884 * * [simplify]: Extracting #13: cost 1 inf + 117073 517.925 * * [simplify]: Extracting #14: cost 0 inf + 119178 517.963 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 517.963 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 517.964 * * * * [progress]: [ 1727 / 5906 ] simplifiying candidate # 517.965 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 517.966 * * [simplify]: iters left: 6 (47 enodes) 517.989 * * [simplify]: iters left: 5 (228 enodes) 518.082 * * [simplify]: Extracting #0: cost 1 inf + 0 518.082 * * [simplify]: Extracting #1: cost 3 inf + 0 518.082 * * [simplify]: Extracting #2: cost 10 inf + 0 518.083 * * [simplify]: Extracting #3: cost 66 inf + 0 518.083 * * [simplify]: Extracting #4: cost 117 inf + 44 518.084 * * [simplify]: Extracting #5: cost 152 inf + 1186 518.086 * * [simplify]: Extracting #6: cost 216 inf + 2932 518.089 * * [simplify]: Extracting #7: cost 211 inf + 3994 518.095 * * [simplify]: Extracting #8: cost 145 inf + 17851 518.113 * * [simplify]: Extracting #9: cost 59 inf + 51862 518.143 * * [simplify]: Extracting #10: cost 12 inf + 85379 518.181 * * [simplify]: Extracting #11: cost 1 inf + 96152 518.223 * * [simplify]: Extracting #12: cost 0 inf + 97977 518.254 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) 518.254 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 518.254 * * * * [progress]: [ 1728 / 5906 ] simplifiying candidate # 518.255 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 518.255 * * [simplify]: iters left: 6 (52 enodes) 518.268 * * [simplify]: iters left: 5 (256 enodes) 518.338 * * [simplify]: Extracting #0: cost 1 inf + 0 518.339 * * [simplify]: Extracting #1: cost 3 inf + 0 518.339 * * [simplify]: Extracting #2: cost 10 inf + 0 518.339 * * [simplify]: Extracting #3: cost 74 inf + 0 518.339 * * [simplify]: Extracting #4: cost 137 inf + 1 518.340 * * [simplify]: Extracting #5: cost 189 inf + 207 518.340 * * [simplify]: Extracting #6: cost 253 inf + 1760 518.342 * * [simplify]: Extracting #7: cost 213 inf + 8489 518.346 * * [simplify]: Extracting #8: cost 157 inf + 21123 518.354 * * [simplify]: Extracting #9: cost 102 inf + 44149 518.365 * * [simplify]: Extracting #10: cost 53 inf + 65253 518.386 * * [simplify]: Extracting #11: cost 31 inf + 81203 518.412 * * [simplify]: Extracting #12: cost 4 inf + 111878 518.445 * * [simplify]: Extracting #13: cost 1 inf + 118033 518.471 * * [simplify]: Extracting #14: cost 0 inf + 120138 518.503 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 518.503 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 518.505 * * * * [progress]: [ 1729 / 5906 ] simplifiying candidate # 518.505 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 518.506 * * [simplify]: iters left: 6 (47 enodes) 518.530 * * [simplify]: iters left: 5 (228 enodes) 518.608 * * [simplify]: Extracting #0: cost 1 inf + 0 518.608 * * [simplify]: Extracting #1: cost 3 inf + 0 518.608 * * [simplify]: Extracting #2: cost 10 inf + 0 518.608 * * [simplify]: Extracting #3: cost 65 inf + 0 518.608 * * [simplify]: Extracting #4: cost 116 inf + 86 518.609 * * [simplify]: Extracting #5: cost 149 inf + 1592 518.610 * * [simplify]: Extracting #6: cost 216 inf + 2932 518.611 * * [simplify]: Extracting #7: cost 210 inf + 4236 518.614 * * [simplify]: Extracting #8: cost 144 inf + 18661 518.625 * * [simplify]: Extracting #9: cost 55 inf + 54663 518.653 * * [simplify]: Extracting #10: cost 12 inf + 85659 518.680 * * [simplify]: Extracting #11: cost 1 inf + 96472 518.709 * * [simplify]: Extracting #12: cost 0 inf + 98297 518.746 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 518.746 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 518.747 * * * * [progress]: [ 1730 / 5906 ] simplifiying candidate # 518.747 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 518.747 * * [simplify]: iters left: 6 (52 enodes) 518.760 * * [simplify]: iters left: 5 (255 enodes) 518.836 * * [simplify]: Extracting #0: cost 1 inf + 0 518.836 * * [simplify]: Extracting #1: cost 3 inf + 0 518.836 * * [simplify]: Extracting #2: cost 6 inf + 0 518.836 * * [simplify]: Extracting #3: cost 56 inf + 0 518.836 * * [simplify]: Extracting #4: cost 130 inf + 0 518.837 * * [simplify]: Extracting #5: cost 210 inf + 0 518.839 * * [simplify]: Extracting #6: cost 283 inf + 384 518.843 * * [simplify]: Extracting #7: cost 204 inf + 16022 518.855 * * [simplify]: Extracting #8: cost 138 inf + 35621 518.873 * * [simplify]: Extracting #9: cost 87 inf + 54996 518.909 * * [simplify]: Extracting #10: cost 15 inf + 108749 518.960 * * [simplify]: Extracting #11: cost 0 inf + 122564 518.994 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 518.994 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 518.994 * * * * [progress]: [ 1731 / 5906 ] simplifiying candidate # 518.995 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 518.995 * * [simplify]: iters left: 6 (53 enodes) 519.009 * * [simplify]: iters left: 5 (264 enodes) 519.081 * * [simplify]: Extracting #0: cost 1 inf + 0 519.081 * * [simplify]: Extracting #1: cost 3 inf + 0 519.081 * * [simplify]: Extracting #2: cost 6 inf + 0 519.081 * * [simplify]: Extracting #3: cost 60 inf + 0 519.081 * * [simplify]: Extracting #4: cost 153 inf + 0 519.082 * * [simplify]: Extracting #5: cost 225 inf + 2 519.083 * * [simplify]: Extracting #6: cost 263 inf + 3957 519.086 * * [simplify]: Extracting #7: cost 197 inf + 16186 519.094 * * [simplify]: Extracting #8: cost 114 inf + 44565 519.114 * * [simplify]: Extracting #9: cost 54 inf + 70311 519.128 * * [simplify]: Extracting #10: cost 37 inf + 80696 519.163 * * [simplify]: Extracting #11: cost 6 inf + 117071 519.209 * * [simplify]: Extracting #12: cost 0 inf + 125221 519.254 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 519.254 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 519.255 * * * * [progress]: [ 1732 / 5906 ] simplifiying candidate # 519.255 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 519.256 * * [simplify]: iters left: 6 (53 enodes) 519.281 * * [simplify]: iters left: 5 (264 enodes) 519.359 * * [simplify]: Extracting #0: cost 1 inf + 0 519.359 * * [simplify]: Extracting #1: cost 3 inf + 0 519.359 * * [simplify]: Extracting #2: cost 6 inf + 0 519.359 * * [simplify]: Extracting #3: cost 62 inf + 0 519.360 * * [simplify]: Extracting #4: cost 151 inf + 0 519.360 * * [simplify]: Extracting #5: cost 220 inf + 44 519.362 * * [simplify]: Extracting #6: cost 250 inf + 5493 519.365 * * [simplify]: Extracting #7: cost 193 inf + 16669 519.371 * * [simplify]: Extracting #8: cost 141 inf + 35271 519.380 * * [simplify]: Extracting #9: cost 92 inf + 55666 519.395 * * [simplify]: Extracting #10: cost 47 inf + 74200 519.413 * * [simplify]: Extracting #11: cost 15 inf + 104278 519.446 * * [simplify]: Extracting #12: cost 0 inf + 122893 519.472 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 519.472 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 519.473 * * * * [progress]: [ 1733 / 5906 ] simplifiying candidate # 519.474 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 519.474 * * [simplify]: iters left: 6 (47 enodes) 519.498 * * [simplify]: iters left: 5 (228 enodes) 519.562 * * [simplify]: Extracting #0: cost 1 inf + 0 519.563 * * [simplify]: Extracting #1: cost 3 inf + 0 519.563 * * [simplify]: Extracting #2: cost 6 inf + 0 519.563 * * [simplify]: Extracting #3: cost 54 inf + 0 519.563 * * [simplify]: Extracting #4: cost 119 inf + 0 519.564 * * [simplify]: Extracting #5: cost 168 inf + 44 519.566 * * [simplify]: Extracting #6: cost 222 inf + 1561 519.569 * * [simplify]: Extracting #7: cost 178 inf + 8633 519.579 * * [simplify]: Extracting #8: cost 111 inf + 30918 519.597 * * [simplify]: Extracting #9: cost 56 inf + 54835 519.617 * * [simplify]: Extracting #10: cost 6 inf + 92335 519.644 * * [simplify]: Extracting #11: cost 1 inf + 98007 519.682 * * [simplify]: Extracting #12: cost 0 inf + 99872 519.702 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) 519.702 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 519.703 * * * * [progress]: [ 1734 / 5906 ] simplifiying candidate # 519.703 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 519.704 * * [simplify]: iters left: 6 (52 enodes) 519.720 * * [simplify]: iters left: 5 (256 enodes) 519.826 * * [simplify]: Extracting #0: cost 1 inf + 0 519.826 * * [simplify]: Extracting #1: cost 3 inf + 0 519.826 * * [simplify]: Extracting #2: cost 10 inf + 0 519.826 * * [simplify]: Extracting #3: cost 74 inf + 0 519.827 * * [simplify]: Extracting #4: cost 137 inf + 1 519.828 * * [simplify]: Extracting #5: cost 190 inf + 207 519.830 * * [simplify]: Extracting #6: cost 230 inf + 4560 519.835 * * [simplify]: Extracting #7: cost 186 inf + 13791 519.844 * * [simplify]: Extracting #8: cost 140 inf + 27151 519.859 * * [simplify]: Extracting #9: cost 94 inf + 47426 519.870 * * [simplify]: Extracting #10: cost 49 inf + 66698 519.893 * * [simplify]: Extracting #11: cost 7 inf + 104668 519.936 * * [simplify]: Extracting #12: cost 1 inf + 113418 519.972 * * [simplify]: Extracting #13: cost 0 inf + 115443 519.997 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 519.997 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 519.998 * * * * [progress]: [ 1735 / 5906 ] simplifiying candidate # 519.999 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 519.999 * * [simplify]: iters left: 6 (47 enodes) 520.024 * * [simplify]: iters left: 5 (228 enodes) 520.105 * * [simplify]: Extracting #0: cost 1 inf + 0 520.105 * * [simplify]: Extracting #1: cost 3 inf + 0 520.105 * * [simplify]: Extracting #2: cost 10 inf + 0 520.105 * * [simplify]: Extracting #3: cost 66 inf + 0 520.105 * * [simplify]: Extracting #4: cost 117 inf + 44 520.106 * * [simplify]: Extracting #5: cost 153 inf + 1186 520.107 * * [simplify]: Extracting #6: cost 211 inf + 3017 520.109 * * [simplify]: Extracting #7: cost 186 inf + 7167 520.114 * * [simplify]: Extracting #8: cost 107 inf + 30837 520.123 * * [simplify]: Extracting #9: cost 47 inf + 55779 520.137 * * [simplify]: Extracting #10: cost 16 inf + 79308 520.158 * * [simplify]: Extracting #11: cost 3 inf + 92447 520.191 * * [simplify]: Extracting #12: cost 1 inf + 96137 520.229 * * [simplify]: Extracting #13: cost 0 inf + 98002 520.266 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (+ phi1 phi2))))) 520.267 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 520.267 * * * * [progress]: [ 1736 / 5906 ] simplifiying candidate # 520.268 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 520.268 * * [simplify]: iters left: 6 (52 enodes) 520.294 * * [simplify]: iters left: 5 (256 enodes) 520.377 * * [simplify]: Extracting #0: cost 1 inf + 0 520.377 * * [simplify]: Extracting #1: cost 3 inf + 0 520.377 * * [simplify]: Extracting #2: cost 10 inf + 0 520.377 * * [simplify]: Extracting #3: cost 74 inf + 0 520.377 * * [simplify]: Extracting #4: cost 137 inf + 1 520.378 * * [simplify]: Extracting #5: cost 190 inf + 207 520.379 * * [simplify]: Extracting #6: cost 237 inf + 2907 520.381 * * [simplify]: Extracting #7: cost 190 inf + 12621 520.386 * * [simplify]: Extracting #8: cost 140 inf + 27471 520.394 * * [simplify]: Extracting #9: cost 93 inf + 48450 520.407 * * [simplify]: Extracting #10: cost 49 inf + 67658 520.434 * * [simplify]: Extracting #11: cost 7 inf + 105628 520.472 * * [simplify]: Extracting #12: cost 1 inf + 114378 520.498 * * [simplify]: Extracting #13: cost 0 inf + 116403 520.540 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 520.540 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 520.541 * * * * [progress]: [ 1737 / 5906 ] simplifiying candidate # 520.542 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 520.542 * * [simplify]: iters left: 6 (47 enodes) 520.567 * * [simplify]: iters left: 5 (228 enodes) 520.624 * * [simplify]: Extracting #0: cost 1 inf + 0 520.624 * * [simplify]: Extracting #1: cost 3 inf + 0 520.624 * * [simplify]: Extracting #2: cost 10 inf + 0 520.625 * * [simplify]: Extracting #3: cost 65 inf + 0 520.625 * * [simplify]: Extracting #4: cost 116 inf + 86 520.626 * * [simplify]: Extracting #5: cost 150 inf + 1592 520.628 * * [simplify]: Extracting #6: cost 211 inf + 3017 520.631 * * [simplify]: Extracting #7: cost 183 inf + 8132 520.640 * * [simplify]: Extracting #8: cost 100 inf + 33690 520.657 * * [simplify]: Extracting #9: cost 47 inf + 57313 520.686 * * [simplify]: Extracting #10: cost 18 inf + 78100 520.719 * * [simplify]: Extracting #11: cost 3 inf + 92847 520.748 * * [simplify]: Extracting #12: cost 1 inf + 96537 520.767 * * [simplify]: Extracting #13: cost 0 inf + 98402 520.787 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (+ phi1 phi2))))) 520.787 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 520.788 * * * * [progress]: [ 1738 / 5906 ] simplifiying candidate # 520.788 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 520.788 * * [simplify]: iters left: 6 (47 enodes) 520.802 * * [simplify]: iters left: 5 (231 enodes) 520.868 * * [simplify]: Extracting #0: cost 1 inf + 0 520.868 * * [simplify]: Extracting #1: cost 3 inf + 0 520.868 * * [simplify]: Extracting #2: cost 6 inf + 0 520.868 * * [simplify]: Extracting #3: cost 52 inf + 0 520.869 * * [simplify]: Extracting #4: cost 118 inf + 0 520.869 * * [simplify]: Extracting #5: cost 187 inf + 0 520.871 * * [simplify]: Extracting #6: cost 266 inf + 169 520.874 * * [simplify]: Extracting #7: cost 218 inf + 8475 520.885 * * [simplify]: Extracting #8: cost 109 inf + 37037 520.902 * * [simplify]: Extracting #9: cost 48 inf + 61270 520.919 * * [simplify]: Extracting #10: cost 8 inf + 95005 520.942 * * [simplify]: Extracting #11: cost 0 inf + 104005 520.963 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) 520.963 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 520.964 * * * * [progress]: [ 1739 / 5906 ] simplifiying candidate # 520.964 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 520.965 * * [simplify]: iters left: 6 (48 enodes) 520.977 * * [simplify]: iters left: 5 (240 enodes) 521.052 * * [simplify]: Extracting #0: cost 1 inf + 0 521.052 * * [simplify]: Extracting #1: cost 3 inf + 0 521.052 * * [simplify]: Extracting #2: cost 6 inf + 0 521.052 * * [simplify]: Extracting #3: cost 56 inf + 0 521.052 * * [simplify]: Extracting #4: cost 141 inf + 0 521.053 * * [simplify]: Extracting #5: cost 195 inf + 412 521.054 * * [simplify]: Extracting #6: cost 237 inf + 5288 521.057 * * [simplify]: Extracting #7: cost 208 inf + 12575 521.061 * * [simplify]: Extracting #8: cost 154 inf + 21634 521.071 * * [simplify]: Extracting #9: cost 87 inf + 46195 521.083 * * [simplify]: Extracting #10: cost 39 inf + 68727 521.104 * * [simplify]: Extracting #11: cost 4 inf + 100602 521.126 * * [simplify]: Extracting #12: cost 0 inf + 105782 521.148 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) 521.148 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 521.148 * * * * [progress]: [ 1740 / 5906 ] simplifiying candidate # 521.149 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 521.149 * * [simplify]: iters left: 6 (48 enodes) 521.167 * * [simplify]: iters left: 5 (240 enodes) 521.242 * * [simplify]: Extracting #0: cost 1 inf + 0 521.242 * * [simplify]: Extracting #1: cost 3 inf + 0 521.242 * * [simplify]: Extracting #2: cost 6 inf + 0 521.242 * * [simplify]: Extracting #3: cost 58 inf + 0 521.242 * * [simplify]: Extracting #4: cost 139 inf + 0 521.243 * * [simplify]: Extracting #5: cost 194 inf + 168 521.244 * * [simplify]: Extracting #6: cost 241 inf + 3793 521.248 * * [simplify]: Extracting #7: cost 214 inf + 10825 521.256 * * [simplify]: Extracting #8: cost 145 inf + 25921 521.276 * * [simplify]: Extracting #9: cost 52 inf + 63012 521.314 * * [simplify]: Extracting #10: cost 5 inf + 101009 521.346 * * [simplify]: Extracting #11: cost 0 inf + 107414 521.369 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))) 521.369 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 521.370 * * * * [progress]: [ 1741 / 5906 ] simplifiying candidate # 521.370 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 521.371 * * [simplify]: iters left: 6 (42 enodes) 521.391 * * [simplify]: iters left: 5 (204 enodes) 521.470 * * [simplify]: Extracting #0: cost 1 inf + 0 521.470 * * [simplify]: Extracting #1: cost 3 inf + 0 521.470 * * [simplify]: Extracting #2: cost 6 inf + 0 521.470 * * [simplify]: Extracting #3: cost 50 inf + 0 521.470 * * [simplify]: Extracting #4: cost 107 inf + 0 521.471 * * [simplify]: Extracting #5: cost 145 inf + 44 521.471 * * [simplify]: Extracting #6: cost 208 inf + 1112 521.473 * * [simplify]: Extracting #7: cost 194 inf + 4279 521.476 * * [simplify]: Extracting #8: cost 123 inf + 20291 521.486 * * [simplify]: Extracting #9: cost 52 inf + 49169 521.517 * * [simplify]: Extracting #10: cost 5 inf + 78401 521.551 * * [simplify]: Extracting #11: cost 1 inf + 81688 521.573 * * [simplify]: Extracting #12: cost 0 inf + 83233 521.591 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) 521.591 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 521.592 * * * * [progress]: [ 1742 / 5906 ] simplifiying candidate # 521.592 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 521.592 * * [simplify]: iters left: 6 (47 enodes) 521.614 * * [simplify]: iters left: 5 (232 enodes) 521.667 * * [simplify]: Extracting #0: cost 1 inf + 0 521.667 * * [simplify]: Extracting #1: cost 3 inf + 0 521.667 * * [simplify]: Extracting #2: cost 10 inf + 0 521.667 * * [simplify]: Extracting #3: cost 70 inf + 0 521.668 * * [simplify]: Extracting #4: cost 124 inf + 42 521.668 * * [simplify]: Extracting #5: cost 165 inf + 290 521.669 * * [simplify]: Extracting #6: cost 231 inf + 1999 521.671 * * [simplify]: Extracting #7: cost 208 inf + 6661 521.674 * * [simplify]: Extracting #8: cost 151 inf + 17609 521.685 * * [simplify]: Extracting #9: cost 81 inf + 45721 521.716 * * [simplify]: Extracting #10: cost 9 inf + 87819 521.736 * * [simplify]: Extracting #11: cost 0 inf + 97804 521.767 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) 521.767 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 521.768 * * * * [progress]: [ 1743 / 5906 ] simplifiying candidate # 521.768 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 521.769 * * [simplify]: iters left: 6 (42 enodes) 521.779 * * [simplify]: iters left: 5 (204 enodes) 521.844 * * [simplify]: Extracting #0: cost 1 inf + 0 521.844 * * [simplify]: Extracting #1: cost 3 inf + 0 521.844 * * [simplify]: Extracting #2: cost 10 inf + 0 521.844 * * [simplify]: Extracting #3: cost 62 inf + 0 521.845 * * [simplify]: Extracting #4: cost 104 inf + 86 521.846 * * [simplify]: Extracting #5: cost 128 inf + 1350 521.848 * * [simplify]: Extracting #6: cost 195 inf + 2932 521.851 * * [simplify]: Extracting #7: cost 187 inf + 5526 521.858 * * [simplify]: Extracting #8: cost 117 inf + 21579 521.866 * * [simplify]: Extracting #9: cost 60 inf + 41992 521.884 * * [simplify]: Extracting #10: cost 10 inf + 72351 521.912 * * [simplify]: Extracting #11: cost 0 inf + 80043 521.929 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) 521.929 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 521.930 * * * * [progress]: [ 1744 / 5906 ] simplifiying candidate # 521.930 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 521.931 * * [simplify]: iters left: 6 (47 enodes) 521.954 * * [simplify]: iters left: 5 (232 enodes) 522.021 * * [simplify]: Extracting #0: cost 1 inf + 0 522.022 * * [simplify]: Extracting #1: cost 3 inf + 0 522.022 * * [simplify]: Extracting #2: cost 10 inf + 0 522.022 * * [simplify]: Extracting #3: cost 70 inf + 0 522.022 * * [simplify]: Extracting #4: cost 124 inf + 42 522.022 * * [simplify]: Extracting #5: cost 164 inf + 332 522.023 * * [simplify]: Extracting #6: cost 225 inf + 3292 522.026 * * [simplify]: Extracting #7: cost 208 inf + 6661 522.032 * * [simplify]: Extracting #8: cost 152 inf + 17357 522.048 * * [simplify]: Extracting #9: cost 83 inf + 46033 522.077 * * [simplify]: Extracting #10: cost 13 inf + 84159 522.118 * * [simplify]: Extracting #11: cost 0 inf + 98764 522.157 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) 522.158 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 522.159 * * * * [progress]: [ 1745 / 5906 ] simplifiying candidate # 522.159 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 522.159 * * [simplify]: iters left: 6 (42 enodes) 522.173 * * [simplify]: iters left: 5 (204 enodes) 522.229 * * [simplify]: Extracting #0: cost 1 inf + 0 522.229 * * [simplify]: Extracting #1: cost 3 inf + 0 522.229 * * [simplify]: Extracting #2: cost 10 inf + 0 522.229 * * [simplify]: Extracting #3: cost 61 inf + 0 522.229 * * [simplify]: Extracting #4: cost 104 inf + 86 522.230 * * [simplify]: Extracting #5: cost 127 inf + 1432 522.232 * * [simplify]: Extracting #6: cost 195 inf + 2932 522.235 * * [simplify]: Extracting #7: cost 188 inf + 5364 522.241 * * [simplify]: Extracting #8: cost 117 inf + 22157 522.262 * * [simplify]: Extracting #9: cost 47 inf + 52993 522.290 * * [simplify]: Extracting #10: cost 7 inf + 74445 522.322 * * [simplify]: Extracting #11: cost 0 inf + 80283 522.358 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) 522.358 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 522.359 * * * * [progress]: [ 1746 / 5906 ] simplifiying candidate # 522.359 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 522.360 * * [simplify]: iters left: 6 (47 enodes) 522.374 * * [simplify]: iters left: 5 (230 enodes) 522.436 * * [simplify]: Extracting #0: cost 1 inf + 0 522.436 * * [simplify]: Extracting #1: cost 3 inf + 0 522.436 * * [simplify]: Extracting #2: cost 6 inf + 0 522.436 * * [simplify]: Extracting #3: cost 52 inf + 0 522.436 * * [simplify]: Extracting #4: cost 118 inf + 0 522.436 * * [simplify]: Extracting #5: cost 190 inf + 0 522.437 * * [simplify]: Extracting #6: cost 262 inf + 127 522.438 * * [simplify]: Extracting #7: cost 231 inf + 4760 522.445 * * [simplify]: Extracting #8: cost 130 inf + 27015 522.464 * * [simplify]: Extracting #9: cost 51 inf + 58963 522.495 * * [simplify]: Extracting #10: cost 13 inf + 90553 522.517 * * [simplify]: Extracting #11: cost 0 inf + 104196 522.546 * * [simplify]: Extracting #12: cost 0 inf + 103556 522.571 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 522.571 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 522.572 * * * * [progress]: [ 1747 / 5906 ] simplifiying candidate # 522.573 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 522.574 * * [simplify]: iters left: 6 (48 enodes) 522.598 * * [simplify]: iters left: 5 (239 enodes) 522.662 * * [simplify]: Extracting #0: cost 1 inf + 0 522.662 * * [simplify]: Extracting #1: cost 3 inf + 0 522.662 * * [simplify]: Extracting #2: cost 6 inf + 0 522.662 * * [simplify]: Extracting #3: cost 56 inf + 0 522.663 * * [simplify]: Extracting #4: cost 141 inf + 0 522.663 * * [simplify]: Extracting #5: cost 199 inf + 412 522.665 * * [simplify]: Extracting #6: cost 225 inf + 6945 522.667 * * [simplify]: Extracting #7: cost 202 inf + 11128 522.672 * * [simplify]: Extracting #8: cost 125 inf + 30677 522.694 * * [simplify]: Extracting #9: cost 56 inf + 59431 522.713 * * [simplify]: Extracting #10: cost 5 inf + 98928 522.742 * * [simplify]: Extracting #11: cost 0 inf + 104253 522.782 * * [simplify]: Extracting #12: cost 0 inf + 104173 522.817 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) 522.818 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 522.818 * * * * [progress]: [ 1748 / 5906 ] simplifiying candidate # 522.818 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 522.819 * * [simplify]: iters left: 6 (48 enodes) 522.833 * * [simplify]: iters left: 5 (239 enodes) 522.898 * * [simplify]: Extracting #0: cost 1 inf + 0 522.898 * * [simplify]: Extracting #1: cost 3 inf + 0 522.898 * * [simplify]: Extracting #2: cost 6 inf + 0 522.898 * * [simplify]: Extracting #3: cost 58 inf + 0 522.899 * * [simplify]: Extracting #4: cost 139 inf + 0 522.899 * * [simplify]: Extracting #5: cost 195 inf + 332 522.901 * * [simplify]: Extracting #6: cost 237 inf + 3915 522.903 * * [simplify]: Extracting #7: cost 208 inf + 10327 522.908 * * [simplify]: Extracting #8: cost 128 inf + 29993 522.924 * * [simplify]: Extracting #9: cost 52 inf + 61144 522.957 * * [simplify]: Extracting #10: cost 7 inf + 95790 522.995 * * [simplify]: Extracting #11: cost 0 inf + 103125 523.035 * * [simplify]: Extracting #12: cost 0 inf + 103045 523.074 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (+ phi1 phi2)) (- phi1 phi2)))))) 523.074 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (+ phi1 phi2)) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 523.075 * * * * [progress]: [ 1749 / 5906 ] simplifiying candidate # 523.076 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 523.076 * * [simplify]: iters left: 6 (42 enodes) 523.099 * * [simplify]: iters left: 5 (203 enodes) 523.181 * * [simplify]: Extracting #0: cost 1 inf + 0 523.181 * * [simplify]: Extracting #1: cost 3 inf + 0 523.181 * * [simplify]: Extracting #2: cost 6 inf + 0 523.182 * * [simplify]: Extracting #3: cost 50 inf + 0 523.182 * * [simplify]: Extracting #4: cost 107 inf + 0 523.183 * * [simplify]: Extracting #5: cost 147 inf + 86 523.184 * * [simplify]: Extracting #6: cost 202 inf + 1275 523.187 * * [simplify]: Extracting #7: cost 185 inf + 4888 523.191 * * [simplify]: Extracting #8: cost 139 inf + 11141 523.197 * * [simplify]: Extracting #9: cost 80 inf + 33457 523.207 * * [simplify]: Extracting #10: cost 34 inf + 52627 523.229 * * [simplify]: Extracting #11: cost 8 inf + 73464 523.262 * * [simplify]: Extracting #12: cost 1 inf + 80159 523.295 * * [simplify]: Extracting #13: cost 0 inf + 81744 523.315 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 523.316 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 523.316 * * * * [progress]: [ 1750 / 5906 ] simplifiying candidate # 523.316 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 523.317 * * [simplify]: iters left: 6 (47 enodes) 523.330 * * [simplify]: iters left: 5 (231 enodes) 523.390 * * [simplify]: Extracting #0: cost 1 inf + 0 523.390 * * [simplify]: Extracting #1: cost 3 inf + 0 523.390 * * [simplify]: Extracting #2: cost 10 inf + 0 523.390 * * [simplify]: Extracting #3: cost 70 inf + 0 523.391 * * [simplify]: Extracting #4: cost 124 inf + 42 523.392 * * [simplify]: Extracting #5: cost 168 inf + 290 523.393 * * [simplify]: Extracting #6: cost 219 inf + 3052 523.395 * * [simplify]: Extracting #7: cost 205 inf + 6460 523.398 * * [simplify]: Extracting #8: cost 147 inf + 17632 523.406 * * [simplify]: Extracting #9: cost 70 inf + 51199 523.421 * * [simplify]: Extracting #10: cost 8 inf + 87155 523.456 * * [simplify]: Extracting #11: cost 1 inf + 94450 523.478 * * [simplify]: Extracting #12: cost 0 inf + 96195 523.512 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 523.512 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 523.513 * * * * [progress]: [ 1751 / 5906 ] simplifiying candidate # 523.514 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 523.514 * * [simplify]: iters left: 6 (42 enodes) 523.528 * * [simplify]: iters left: 5 (203 enodes) 523.590 * * [simplify]: Extracting #0: cost 1 inf + 0 523.591 * * [simplify]: Extracting #1: cost 3 inf + 0 523.591 * * [simplify]: Extracting #2: cost 10 inf + 0 523.591 * * [simplify]: Extracting #3: cost 62 inf + 0 523.591 * * [simplify]: Extracting #4: cost 103 inf + 208 523.593 * * [simplify]: Extracting #5: cost 126 inf + 2121 523.595 * * [simplify]: Extracting #6: cost 190 inf + 2932 523.597 * * [simplify]: Extracting #7: cost 187 inf + 4278 523.605 * * [simplify]: Extracting #8: cost 113 inf + 18629 523.620 * * [simplify]: Extracting #9: cost 53 inf + 43186 523.647 * * [simplify]: Extracting #10: cost 3 inf + 74500 523.678 * * [simplify]: Extracting #11: cost 0 inf + 78114 523.698 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) 523.698 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 523.698 * * * * [progress]: [ 1752 / 5906 ] simplifiying candidate # 523.699 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 523.699 * * [simplify]: iters left: 6 (47 enodes) 523.711 * * [simplify]: iters left: 5 (231 enodes) 523.778 * * [simplify]: Extracting #0: cost 1 inf + 0 523.778 * * [simplify]: Extracting #1: cost 3 inf + 0 523.778 * * [simplify]: Extracting #2: cost 10 inf + 0 523.779 * * [simplify]: Extracting #3: cost 70 inf + 0 523.779 * * [simplify]: Extracting #4: cost 124 inf + 42 523.779 * * [simplify]: Extracting #5: cost 167 inf + 332 523.780 * * [simplify]: Extracting #6: cost 217 inf + 3657 523.782 * * [simplify]: Extracting #7: cost 205 inf + 6460 523.785 * * [simplify]: Extracting #8: cost 150 inf + 16844 523.793 * * [simplify]: Extracting #9: cost 69 inf + 52223 523.810 * * [simplify]: Extracting #10: cost 8 inf + 88115 523.852 * * [simplify]: Extracting #11: cost 0 inf + 97155 523.880 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 523.880 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 523.881 * * * * [progress]: [ 1753 / 5906 ] simplifiying candidate # 523.881 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 523.881 * * [simplify]: iters left: 6 (42 enodes) 523.892 * * [simplify]: iters left: 5 (203 enodes) 523.941 * * [simplify]: Extracting #0: cost 1 inf + 0 523.941 * * [simplify]: Extracting #1: cost 3 inf + 0 523.941 * * [simplify]: Extracting #2: cost 10 inf + 0 523.941 * * [simplify]: Extracting #3: cost 61 inf + 0 523.942 * * [simplify]: Extracting #4: cost 104 inf + 86 523.943 * * [simplify]: Extracting #5: cost 127 inf + 1958 523.945 * * [simplify]: Extracting #6: cost 190 inf + 2932 523.947 * * [simplify]: Extracting #7: cost 187 inf + 4278 523.953 * * [simplify]: Extracting #8: cost 114 inf + 18324 523.966 * * [simplify]: Extracting #9: cost 55 inf + 42296 523.980 * * [simplify]: Extracting #10: cost 2 inf + 75544 523.996 * * [simplify]: Extracting #11: cost 0 inf + 78514 524.027 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) 524.027 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 524.028 * * * * [progress]: [ 1754 / 5906 ] simplifiying candidate # 524.029 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 524.029 * * [simplify]: iters left: 6 (47 enodes) 524.053 * * [simplify]: iters left: 5 (231 enodes) 524.107 * * [simplify]: Extracting #0: cost 1 inf + 0 524.107 * * [simplify]: Extracting #1: cost 3 inf + 0 524.107 * * [simplify]: Extracting #2: cost 6 inf + 0 524.107 * * [simplify]: Extracting #3: cost 52 inf + 0 524.107 * * [simplify]: Extracting #4: cost 118 inf + 0 524.108 * * [simplify]: Extracting #5: cost 190 inf + 0 524.108 * * [simplify]: Extracting #6: cost 255 inf + 169 524.110 * * [simplify]: Extracting #7: cost 223 inf + 5042 524.113 * * [simplify]: Extracting #8: cost 156 inf + 17298 524.118 * * [simplify]: Extracting #9: cost 105 inf + 30096 524.132 * * [simplify]: Extracting #10: cost 53 inf + 53718 524.158 * * [simplify]: Extracting #11: cost 11 inf + 88530 524.179 * * [simplify]: Extracting #12: cost 0 inf + 101304 524.216 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 524.217 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 524.218 * * * * [progress]: [ 1755 / 5906 ] simplifiying candidate # 524.218 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 524.219 * * [simplify]: iters left: 6 (48 enodes) 524.242 * * [simplify]: iters left: 5 (240 enodes) 524.333 * * [simplify]: Extracting #0: cost 1 inf + 0 524.333 * * [simplify]: Extracting #1: cost 3 inf + 0 524.333 * * [simplify]: Extracting #2: cost 6 inf + 0 524.333 * * [simplify]: Extracting #3: cost 56 inf + 0 524.333 * * [simplify]: Extracting #4: cost 141 inf + 0 524.334 * * [simplify]: Extracting #5: cost 197 inf + 576 524.336 * * [simplify]: Extracting #6: cost 214 inf + 8233 524.339 * * [simplify]: Extracting #7: cost 195 inf + 12738 524.342 * * [simplify]: Extracting #8: cost 150 inf + 20022 524.350 * * [simplify]: Extracting #9: cost 85 inf + 44508 524.365 * * [simplify]: Extracting #10: cost 43 inf + 63926 524.383 * * [simplify]: Extracting #11: cost 3 inf + 99806 524.426 * * [simplify]: Extracting #12: cost 0 inf + 103321 524.456 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) 524.456 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 524.457 * * * * [progress]: [ 1756 / 5906 ] simplifiying candidate # 524.457 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 524.458 * * [simplify]: iters left: 6 (48 enodes) 524.470 * * [simplify]: iters left: 5 (240 enodes) 524.541 * * [simplify]: Extracting #0: cost 1 inf + 0 524.541 * * [simplify]: Extracting #1: cost 3 inf + 0 524.541 * * [simplify]: Extracting #2: cost 6 inf + 0 524.541 * * [simplify]: Extracting #3: cost 58 inf + 0 524.541 * * [simplify]: Extracting #4: cost 139 inf + 0 524.542 * * [simplify]: Extracting #5: cost 195 inf + 252 524.543 * * [simplify]: Extracting #6: cost 227 inf + 4682 524.545 * * [simplify]: Extracting #7: cost 201 inf + 10909 524.550 * * [simplify]: Extracting #8: cost 122 inf + 29090 524.560 * * [simplify]: Extracting #9: cost 51 inf + 59491 524.594 * * [simplify]: Extracting #10: cost 6 inf + 96323 524.636 * * [simplify]: Extracting #11: cost 0 inf + 102353 524.668 * * [simplify]: Extracting #12: cost 0 inf + 102193 524.694 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (* (+ phi1 phi2) (- phi1 phi2))))) 524.694 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (* (+ phi1 phi2) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 524.695 * * * * [progress]: [ 1757 / 5906 ] simplifiying candidate # 524.696 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 524.696 * * [simplify]: iters left: 6 (42 enodes) 524.707 * * [simplify]: iters left: 5 (204 enodes) 524.759 * * [simplify]: Extracting #0: cost 1 inf + 0 524.759 * * [simplify]: Extracting #1: cost 3 inf + 0 524.759 * * [simplify]: Extracting #2: cost 6 inf + 0 524.759 * * [simplify]: Extracting #3: cost 50 inf + 0 524.759 * * [simplify]: Extracting #4: cost 107 inf + 0 524.760 * * [simplify]: Extracting #5: cost 147 inf + 85 524.761 * * [simplify]: Extracting #6: cost 196 inf + 1273 524.762 * * [simplify]: Extracting #7: cost 181 inf + 4684 524.765 * * [simplify]: Extracting #8: cost 104 inf + 22379 524.774 * * [simplify]: Extracting #9: cost 46 inf + 47175 524.788 * * [simplify]: Extracting #10: cost 9 inf + 73200 524.808 * * [simplify]: Extracting #11: cost 0 inf + 80892 524.840 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))) 524.841 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 524.842 * * * * [progress]: [ 1758 / 5906 ] simplifiying candidate # 524.842 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 524.843 * * [simplify]: iters left: 6 (47 enodes) 524.858 * * [simplify]: iters left: 5 (232 enodes) 524.934 * * [simplify]: Extracting #0: cost 1 inf + 0 524.934 * * [simplify]: Extracting #1: cost 3 inf + 0 524.934 * * [simplify]: Extracting #2: cost 10 inf + 0 524.934 * * [simplify]: Extracting #3: cost 70 inf + 0 524.935 * * [simplify]: Extracting #4: cost 124 inf + 42 524.936 * * [simplify]: Extracting #5: cost 168 inf + 290 524.937 * * [simplify]: Extracting #6: cost 218 inf + 2284 524.941 * * [simplify]: Extracting #7: cost 195 inf + 7066 524.947 * * [simplify]: Extracting #8: cost 144 inf + 16254 524.961 * * [simplify]: Extracting #9: cost 78 inf + 42851 524.981 * * [simplify]: Extracting #10: cost 36 inf + 60883 525.015 * * [simplify]: Extracting #11: cost 7 inf + 86128 525.051 * * [simplify]: Extracting #12: cost 0 inf + 95343 525.088 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) 525.088 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 525.089 * * * * [progress]: [ 1759 / 5906 ] simplifiying candidate # 525.089 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 525.090 * * [simplify]: iters left: 6 (42 enodes) 525.111 * * [simplify]: iters left: 5 (204 enodes) 525.172 * * [simplify]: Extracting #0: cost 1 inf + 0 525.173 * * [simplify]: Extracting #1: cost 3 inf + 0 525.173 * * [simplify]: Extracting #2: cost 10 inf + 0 525.173 * * [simplify]: Extracting #3: cost 62 inf + 0 525.173 * * [simplify]: Extracting #4: cost 103 inf + 208 525.174 * * [simplify]: Extracting #5: cost 124 inf + 2404 525.175 * * [simplify]: Extracting #6: cost 184 inf + 2932 525.176 * * [simplify]: Extracting #7: cost 180 inf + 4520 525.178 * * [simplify]: Extracting #8: cost 137 inf + 11170 525.183 * * [simplify]: Extracting #9: cost 94 inf + 24599 525.191 * * [simplify]: Extracting #10: cost 34 inf + 48963 525.206 * * [simplify]: Extracting #11: cost 1 inf + 76517 525.234 * * [simplify]: Extracting #12: cost 0 inf + 78062 525.251 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) 525.252 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 525.252 * * * * [progress]: [ 1760 / 5906 ] simplifiying candidate # 525.252 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 525.253 * * [simplify]: iters left: 6 (47 enodes) 525.269 * * [simplify]: iters left: 5 (232 enodes) 525.338 * * [simplify]: Extracting #0: cost 1 inf + 0 525.338 * * [simplify]: Extracting #1: cost 3 inf + 0 525.338 * * [simplify]: Extracting #2: cost 10 inf + 0 525.338 * * [simplify]: Extracting #3: cost 70 inf + 0 525.339 * * [simplify]: Extracting #4: cost 124 inf + 42 525.340 * * [simplify]: Extracting #5: cost 166 inf + 373 525.342 * * [simplify]: Extracting #6: cost 211 inf + 3737 525.345 * * [simplify]: Extracting #7: cost 195 inf + 7066 525.351 * * [simplify]: Extracting #8: cost 144 inf + 16254 525.368 * * [simplify]: Extracting #9: cost 76 inf + 44381 525.389 * * [simplify]: Extracting #10: cost 36 inf + 61843 525.421 * * [simplify]: Extracting #11: cost 7 inf + 87088 525.459 * * [simplify]: Extracting #12: cost 0 inf + 96303 525.496 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) 525.496 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 525.497 * * * * [progress]: [ 1761 / 5906 ] simplifiying candidate # 525.498 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 525.498 * * [simplify]: iters left: 6 (42 enodes) 525.519 * * [simplify]: iters left: 5 (204 enodes) 525.600 * * [simplify]: Extracting #0: cost 1 inf + 0 525.600 * * [simplify]: Extracting #1: cost 3 inf + 0 525.601 * * [simplify]: Extracting #2: cost 10 inf + 0 525.601 * * [simplify]: Extracting #3: cost 61 inf + 0 525.601 * * [simplify]: Extracting #4: cost 104 inf + 86 525.602 * * [simplify]: Extracting #5: cost 129 inf + 1714 525.604 * * [simplify]: Extracting #6: cost 184 inf + 2932 525.605 * * [simplify]: Extracting #7: cost 180 inf + 4520 525.608 * * [simplify]: Extracting #8: cost 137 inf + 11170 525.612 * * [simplify]: Extracting #9: cost 95 inf + 23955 525.621 * * [simplify]: Extracting #10: cost 32 inf + 50491 525.636 * * [simplify]: Extracting #11: cost 1 inf + 76917 525.663 * * [simplify]: Extracting #12: cost 0 inf + 78462 525.682 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) 525.682 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 525.682 * * * * [progress]: [ 1762 / 5906 ] simplifiying candidate # 525.683 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 525.683 * * [simplify]: iters left: 6 (36 enodes) 525.692 * * [simplify]: iters left: 5 (165 enodes) 525.739 * * [simplify]: iters left: 4 (450 enodes) 525.991 * * [simplify]: Extracting #0: cost 1 inf + 0 525.991 * * [simplify]: Extracting #1: cost 3 inf + 0 525.991 * * [simplify]: Extracting #2: cost 20 inf + 0 525.991 * * [simplify]: Extracting #3: cost 209 inf + 0 525.993 * * [simplify]: Extracting #4: cost 522 inf + 655 525.998 * * [simplify]: Extracting #5: cost 521 inf + 22187 526.008 * * [simplify]: Extracting #6: cost 465 inf + 44766 526.035 * * [simplify]: Extracting #7: cost 316 inf + 84205 526.067 * * [simplify]: Extracting #8: cost 173 inf + 143192 526.131 * * [simplify]: Extracting #9: cost 49 inf + 213522 526.214 * * [simplify]: Extracting #10: cost 0 inf + 244947 526.327 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))))) 526.327 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 526.328 * * * * [progress]: [ 1763 / 5906 ] simplifiying candidate # 526.328 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 526.329 * * [simplify]: iters left: 6 (37 enodes) 526.349 * * [simplify]: iters left: 5 (174 enodes) 526.420 * * [simplify]: iters left: 4 (485 enodes) 526.730 * * [simplify]: Extracting #0: cost 1 inf + 0 526.730 * * [simplify]: Extracting #1: cost 3 inf + 0 526.730 * * [simplify]: Extracting #2: cost 16 inf + 0 526.730 * * [simplify]: Extracting #3: cost 195 inf + 0 526.732 * * [simplify]: Extracting #4: cost 512 inf + 127 526.735 * * [simplify]: Extracting #5: cost 628 inf + 5000 526.743 * * [simplify]: Extracting #6: cost 555 inf + 31434 526.773 * * [simplify]: Extracting #7: cost 405 inf + 69540 526.821 * * [simplify]: Extracting #8: cost 249 inf + 126771 526.896 * * [simplify]: Extracting #9: cost 107 inf + 191708 526.973 * * [simplify]: Extracting #10: cost 17 inf + 243158 527.061 * * [simplify]: Extracting #11: cost 0 inf + 253663 527.132 * [simplify]: Simplified to (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))))) 527.132 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 527.133 * * * * [progress]: [ 1764 / 5906 ] simplifiying candidate # 527.133 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 527.133 * * [simplify]: iters left: 6 (37 enodes) 527.143 * * [simplify]: iters left: 5 (174 enodes) 527.199 * * [simplify]: iters left: 4 (483 enodes) 527.454 * * [simplify]: Extracting #0: cost 1 inf + 0 527.454 * * [simplify]: Extracting #1: cost 3 inf + 0 527.454 * * [simplify]: Extracting #2: cost 20 inf + 0 527.455 * * [simplify]: Extracting #3: cost 231 inf + 0 527.458 * * [simplify]: Extracting #4: cost 530 inf + 1103 527.464 * * [simplify]: Extracting #5: cost 567 inf + 14335 527.473 * * [simplify]: Extracting #6: cost 488 inf + 46544 527.492 * * [simplify]: Extracting #7: cost 321 inf + 94013 527.537 * * [simplify]: Extracting #8: cost 216 inf + 134962 527.603 * * [simplify]: Extracting #9: cost 47 inf + 215980 527.680 * * [simplify]: Extracting #10: cost 4 inf + 240215 527.761 * * [simplify]: Extracting #11: cost 0 inf + 242595 527.844 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (+ phi1 phi2))) (- phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)) (+ phi1 phi2))))) 527.844 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (+ phi1 phi2))) (- phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 527.845 * * * * [progress]: [ 1765 / 5906 ] simplifiying candidate # 527.845 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 527.845 * * [simplify]: iters left: 6 (30 enodes) 527.853 * * [simplify]: iters left: 5 (133 enodes) 527.877 * * [simplify]: iters left: 4 (353 enodes) 528.034 * * [simplify]: Extracting #0: cost 1 inf + 0 528.034 * * [simplify]: Extracting #1: cost 3 inf + 0 528.034 * * [simplify]: Extracting #2: cost 16 inf + 0 528.034 * * [simplify]: Extracting #3: cost 135 inf + 0 528.035 * * [simplify]: Extracting #4: cost 332 inf + 126 528.037 * * [simplify]: Extracting #5: cost 366 inf + 5655 528.042 * * [simplify]: Extracting #6: cost 336 inf + 18160 528.052 * * [simplify]: Extracting #7: cost 197 inf + 51174 528.101 * * [simplify]: Extracting #8: cost 46 inf + 107527 528.137 * * [simplify]: Extracting #9: cost 4 inf + 129367 528.174 * * [simplify]: Extracting #10: cost 0 inf + 131587 528.218 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (+ phi1 phi2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) 528.218 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (+ phi1 phi2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 528.219 * * * * [progress]: [ 1766 / 5906 ] simplifiying candidate # 528.220 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 528.220 * * [simplify]: iters left: 6 (36 enodes) 528.238 * * [simplify]: iters left: 5 (166 enodes) 528.280 * * [simplify]: iters left: 4 (414 enodes) 528.443 * * [simplify]: Extracting #0: cost 1 inf + 0 528.443 * * [simplify]: Extracting #1: cost 3 inf + 0 528.443 * * [simplify]: Extracting #2: cost 18 inf + 0 528.444 * * [simplify]: Extracting #3: cost 128 inf + 0 528.445 * * [simplify]: Extracting #4: cost 332 inf + 44 528.448 * * [simplify]: Extracting #5: cost 417 inf + 3445 528.456 * * [simplify]: Extracting #6: cost 386 inf + 18898 528.483 * * [simplify]: Extracting #7: cost 197 inf + 70900 528.524 * * [simplify]: Extracting #8: cost 37 inf + 140127 528.560 * * [simplify]: Extracting #9: cost 0 inf + 158751 528.599 * [simplify]: Simplified to (sqrt (+ (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) 528.599 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 528.599 * * * * [progress]: [ 1767 / 5906 ] simplifiying candidate # 528.600 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 528.600 * * [simplify]: iters left: 6 (30 enodes) 528.614 * * [simplify]: iters left: 5 (133 enodes) 528.641 * * [simplify]: iters left: 4 (334 enodes) 528.775 * * [simplify]: Extracting #0: cost 1 inf + 0 528.775 * * [simplify]: Extracting #1: cost 3 inf + 0 528.775 * * [simplify]: Extracting #2: cost 13 inf + 0 528.775 * * [simplify]: Extracting #3: cost 89 inf + 0 528.776 * * [simplify]: Extracting #4: cost 251 inf + 127 528.778 * * [simplify]: Extracting #5: cost 333 inf + 2896 528.781 * * [simplify]: Extracting #6: cost 323 inf + 10053 528.791 * * [simplify]: Extracting #7: cost 148 inf + 53497 528.812 * * [simplify]: Extracting #8: cost 14 inf + 100380 528.846 * * [simplify]: Extracting #9: cost 0 inf + 106826 528.869 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2))))) 528.870 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 528.870 * * * * [progress]: [ 1768 / 5906 ] simplifiying candidate # 528.870 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 528.870 * * [simplify]: iters left: 6 (36 enodes) 528.880 * * [simplify]: iters left: 5 (166 enodes) 528.913 * * [simplify]: iters left: 4 (414 enodes) 529.071 * * [simplify]: Extracting #0: cost 1 inf + 0 529.071 * * [simplify]: Extracting #1: cost 3 inf + 0 529.071 * * [simplify]: Extracting #2: cost 18 inf + 0 529.071 * * [simplify]: Extracting #3: cost 112 inf + 0 529.072 * * [simplify]: Extracting #4: cost 292 inf + 127 529.078 * * [simplify]: Extracting #5: cost 414 inf + 4926 529.082 * * [simplify]: Extracting #6: cost 384 inf + 20332 529.093 * * [simplify]: Extracting #7: cost 223 inf + 59008 529.139 * * [simplify]: Extracting #8: cost 43 inf + 135307 529.201 * * [simplify]: Extracting #9: cost 1 inf + 156921 529.239 * * [simplify]: Extracting #10: cost 0 inf + 157546 529.274 * [simplify]: Simplified to (sqrt (+ (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) 529.274 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 529.275 * * * * [progress]: [ 1769 / 5906 ] simplifiying candidate # 529.275 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 529.275 * * [simplify]: iters left: 6 (30 enodes) 529.284 * * [simplify]: iters left: 5 (133 enodes) 529.312 * * [simplify]: iters left: 4 (334 enodes) 529.438 * * [simplify]: Extracting #0: cost 1 inf + 0 529.438 * * [simplify]: Extracting #1: cost 3 inf + 0 529.438 * * [simplify]: Extracting #2: cost 13 inf + 0 529.438 * * [simplify]: Extracting #3: cost 86 inf + 0 529.439 * * [simplify]: Extracting #4: cost 257 inf + 208 529.440 * * [simplify]: Extracting #5: cost 335 inf + 3299 529.444 * * [simplify]: Extracting #6: cost 310 inf + 13032 529.463 * * [simplify]: Extracting #7: cost 133 inf + 56763 529.487 * * [simplify]: Extracting #8: cost 11 inf + 102062 529.526 * * [simplify]: Extracting #9: cost 0 inf + 107476 529.551 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2))))) 529.551 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 529.552 * * * * [progress]: [ 1770 / 5906 ] simplifiying candidate # 529.552 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 529.552 * * [simplify]: iters left: 6 (48 enodes) 529.574 * * [simplify]: iters left: 5 (229 enodes) 529.635 * * [simplify]: Extracting #0: cost 1 inf + 0 529.635 * * [simplify]: Extracting #1: cost 3 inf + 0 529.636 * * [simplify]: Extracting #2: cost 6 inf + 0 529.636 * * [simplify]: Extracting #3: cost 52 inf + 0 529.636 * * [simplify]: Extracting #4: cost 118 inf + 0 529.636 * * [simplify]: Extracting #5: cost 184 inf + 0 529.637 * * [simplify]: Extracting #6: cost 248 inf + 45 529.638 * * [simplify]: Extracting #7: cost 204 inf + 5093 529.643 * * [simplify]: Extracting #8: cost 111 inf + 30386 529.660 * * [simplify]: Extracting #9: cost 10 inf + 90321 529.686 * * [simplify]: Extracting #10: cost 0 inf + 101091 529.713 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) 529.713 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 529.714 * * * * [progress]: [ 1771 / 5906 ] simplifiying candidate # 529.715 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 529.715 * * [simplify]: iters left: 6 (49 enodes) 529.731 * * [simplify]: iters left: 5 (238 enodes) 529.797 * * [simplify]: Extracting #0: cost 1 inf + 0 529.797 * * [simplify]: Extracting #1: cost 3 inf + 0 529.797 * * [simplify]: Extracting #2: cost 6 inf + 0 529.797 * * [simplify]: Extracting #3: cost 56 inf + 0 529.797 * * [simplify]: Extracting #4: cost 141 inf + 0 529.798 * * [simplify]: Extracting #5: cost 197 inf + 85 529.799 * * [simplify]: Extracting #6: cost 218 inf + 5607 529.801 * * [simplify]: Extracting #7: cost 188 inf + 10835 529.805 * * [simplify]: Extracting #8: cost 146 inf + 19205 529.814 * * [simplify]: Extracting #9: cost 87 inf + 42117 529.825 * * [simplify]: Extracting #10: cost 43 inf + 61793 529.842 * * [simplify]: Extracting #11: cost 7 inf + 95333 529.882 * * [simplify]: Extracting #12: cost 0 inf + 103988 529.905 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) 529.905 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 529.906 * * * * [progress]: [ 1772 / 5906 ] simplifiying candidate # 529.906 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 529.906 * * [simplify]: iters left: 6 (49 enodes) 529.919 * * [simplify]: iters left: 5 (238 enodes) 529.977 * * [simplify]: Extracting #0: cost 1 inf + 0 529.977 * * [simplify]: Extracting #1: cost 3 inf + 0 529.977 * * [simplify]: Extracting #2: cost 6 inf + 0 529.977 * * [simplify]: Extracting #3: cost 58 inf + 0 529.977 * * [simplify]: Extracting #4: cost 139 inf + 0 529.978 * * [simplify]: Extracting #5: cost 192 inf + 166 529.979 * * [simplify]: Extracting #6: cost 217 inf + 4920 529.982 * * [simplify]: Extracting #7: cost 184 inf + 10756 529.986 * * [simplify]: Extracting #8: cost 128 inf + 23934 529.993 * * [simplify]: Extracting #9: cost 65 inf + 46117 530.002 * * [simplify]: Extracting #10: cost 42 inf + 59191 530.031 * * [simplify]: Extracting #11: cost 9 inf + 89875 530.051 * * [simplify]: Extracting #12: cost 0 inf + 100380 530.085 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 530.085 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 530.086 * * * * [progress]: [ 1773 / 5906 ] simplifiying candidate # 530.086 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 530.087 * * [simplify]: iters left: 6 (43 enodes) 530.108 * * [simplify]: iters left: 5 (202 enodes) 530.163 * * [simplify]: Extracting #0: cost 1 inf + 0 530.163 * * [simplify]: Extracting #1: cost 3 inf + 0 530.163 * * [simplify]: Extracting #2: cost 6 inf + 0 530.163 * * [simplify]: Extracting #3: cost 50 inf + 0 530.163 * * [simplify]: Extracting #4: cost 107 inf + 0 530.163 * * [simplify]: Extracting #5: cost 138 inf + 249 530.164 * * [simplify]: Extracting #6: cost 186 inf + 1234 530.165 * * [simplify]: Extracting #7: cost 165 inf + 5126 530.168 * * [simplify]: Extracting #8: cost 111 inf + 16788 530.174 * * [simplify]: Extracting #9: cost 61 inf + 36325 530.195 * * [simplify]: Extracting #10: cost 7 inf + 72144 530.212 * * [simplify]: Extracting #11: cost 0 inf + 79679 530.228 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) 530.228 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 530.228 * * * * [progress]: [ 1774 / 5906 ] simplifiying candidate # 530.229 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 530.229 * * [simplify]: iters left: 6 (48 enodes) 530.247 * * [simplify]: iters left: 5 (230 enodes) 530.305 * * [simplify]: Extracting #0: cost 1 inf + 0 530.305 * * [simplify]: Extracting #1: cost 3 inf + 0 530.305 * * [simplify]: Extracting #2: cost 10 inf + 0 530.305 * * [simplify]: Extracting #3: cost 70 inf + 0 530.306 * * [simplify]: Extracting #4: cost 124 inf + 42 530.306 * * [simplify]: Extracting #5: cost 164 inf + 207 530.307 * * [simplify]: Extracting #6: cost 209 inf + 1962 530.308 * * [simplify]: Extracting #7: cost 192 inf + 5406 530.312 * * [simplify]: Extracting #8: cost 132 inf + 19704 530.320 * * [simplify]: Extracting #9: cost 49 inf + 52622 530.345 * * [simplify]: Extracting #10: cost 4 inf + 88470 530.371 * * [simplify]: Extracting #11: cost 0 inf + 94370 530.390 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) 530.390 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 530.391 * * * * [progress]: [ 1775 / 5906 ] simplifiying candidate # 530.391 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 530.391 * * [simplify]: iters left: 6 (43 enodes) 530.404 * * [simplify]: iters left: 5 (202 enodes) 530.444 * * [simplify]: iters left: 4 (498 enodes) 530.637 * * [simplify]: Extracting #0: cost 1 inf + 0 530.637 * * [simplify]: Extracting #1: cost 3 inf + 0 530.637 * * [simplify]: Extracting #2: cost 12 inf + 0 530.637 * * [simplify]: Extracting #3: cost 110 inf + 0 530.638 * * [simplify]: Extracting #4: cost 261 inf + 85 530.640 * * [simplify]: Extracting #5: cost 350 inf + 2650 530.642 * * [simplify]: Extracting #6: cost 451 inf + 6390 530.647 * * [simplify]: Extracting #7: cost 503 inf + 14861 530.660 * * [simplify]: Extracting #8: cost 320 inf + 69632 530.689 * * [simplify]: Extracting #9: cost 135 inf + 148169 530.745 * * [simplify]: Extracting #10: cost 26 inf + 213765 530.826 * * [simplify]: Extracting #11: cost 0 inf + 232115 530.886 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) 530.887 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 530.887 * * * * [progress]: [ 1776 / 5906 ] simplifiying candidate # 530.887 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 530.888 * * [simplify]: iters left: 6 (48 enodes) 530.900 * * [simplify]: iters left: 5 (230 enodes) 530.971 * * [simplify]: Extracting #0: cost 1 inf + 0 530.972 * * [simplify]: Extracting #1: cost 3 inf + 0 530.972 * * [simplify]: Extracting #2: cost 10 inf + 0 530.972 * * [simplify]: Extracting #3: cost 70 inf + 0 530.972 * * [simplify]: Extracting #4: cost 124 inf + 42 530.972 * * [simplify]: Extracting #5: cost 163 inf + 249 530.973 * * [simplify]: Extracting #6: cost 205 inf + 2769 530.975 * * [simplify]: Extracting #7: cost 190 inf + 5929 530.978 * * [simplify]: Extracting #8: cost 135 inf + 18735 530.993 * * [simplify]: Extracting #9: cost 47 inf + 54754 531.020 * * [simplify]: Extracting #10: cost 3 inf + 90455 531.039 * * [simplify]: Extracting #11: cost 0 inf + 95330 531.073 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) 531.073 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 531.074 * * * * [progress]: [ 1777 / 5906 ] simplifiying candidate # 531.075 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 531.075 * * [simplify]: iters left: 6 (43 enodes) 531.097 * * [simplify]: iters left: 5 (202 enodes) 531.147 * * [simplify]: iters left: 4 (498 enodes) 531.346 * * [simplify]: Extracting #0: cost 1 inf + 0 531.346 * * [simplify]: Extracting #1: cost 3 inf + 0 531.346 * * [simplify]: Extracting #2: cost 12 inf + 0 531.346 * * [simplify]: Extracting #3: cost 107 inf + 0 531.348 * * [simplify]: Extracting #4: cost 271 inf + 85 531.351 * * [simplify]: Extracting #5: cost 362 inf + 2202 531.356 * * [simplify]: Extracting #6: cost 459 inf + 6188 531.365 * * [simplify]: Extracting #7: cost 501 inf + 18454 531.383 * * [simplify]: Extracting #8: cost 350 inf + 63503 531.411 * * [simplify]: Extracting #9: cost 153 inf + 142888 531.467 * * [simplify]: Extracting #10: cost 25 inf + 222234 531.530 * * [simplify]: Extracting #11: cost 0 inf + 235301 531.609 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (+ phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) 531.609 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (+ phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 531.610 * * * * [progress]: [ 1778 / 5906 ] simplifiying candidate # 531.610 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 531.611 * * [simplify]: iters left: 6 (41 enodes) 531.631 * * [simplify]: iters left: 5 (190 enodes) 531.687 * * [simplify]: Extracting #0: cost 1 inf + 0 531.687 * * [simplify]: Extracting #1: cost 3 inf + 0 531.687 * * [simplify]: Extracting #2: cost 6 inf + 0 531.687 * * [simplify]: Extracting #3: cost 52 inf + 0 531.687 * * [simplify]: Extracting #4: cost 118 inf + 0 531.688 * * [simplify]: Extracting #5: cost 176 inf + 0 531.689 * * [simplify]: Extracting #6: cost 220 inf + 172 531.692 * * [simplify]: Extracting #7: cost 177 inf + 9940 531.699 * * [simplify]: Extracting #8: cost 111 inf + 23043 531.708 * * [simplify]: Extracting #9: cost 70 inf + 36580 531.719 * * [simplify]: Extracting #10: cost 19 inf + 67748 531.736 * * [simplify]: Extracting #11: cost 0 inf + 83183 531.759 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) 531.759 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 531.759 * * * * [progress]: [ 1779 / 5906 ] simplifiying candidate # 531.760 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 531.760 * * [simplify]: iters left: 6 (42 enodes) 531.775 * * [simplify]: iters left: 5 (199 enodes) 531.820 * * [simplify]: Extracting #0: cost 1 inf + 0 531.820 * * [simplify]: Extracting #1: cost 3 inf + 0 531.821 * * [simplify]: Extracting #2: cost 6 inf + 0 531.821 * * [simplify]: Extracting #3: cost 56 inf + 0 531.821 * * [simplify]: Extracting #4: cost 141 inf + 0 531.821 * * [simplify]: Extracting #5: cost 187 inf + 249 531.822 * * [simplify]: Extracting #6: cost 221 inf + 1317 531.824 * * [simplify]: Extracting #7: cost 164 inf + 9034 531.829 * * [simplify]: Extracting #8: cost 84 inf + 34045 531.842 * * [simplify]: Extracting #9: cost 20 inf + 67060 531.873 * * [simplify]: Extracting #10: cost 0 inf + 83360 531.890 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) 531.890 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 531.890 * * * * [progress]: [ 1780 / 5906 ] simplifiying candidate # 531.891 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 531.891 * * [simplify]: iters left: 6 (42 enodes) 531.902 * * [simplify]: iters left: 5 (199 enodes) 531.940 * * [simplify]: Extracting #0: cost 1 inf + 0 531.940 * * [simplify]: Extracting #1: cost 3 inf + 0 531.940 * * [simplify]: Extracting #2: cost 6 inf + 0 531.941 * * [simplify]: Extracting #3: cost 58 inf + 0 531.941 * * [simplify]: Extracting #4: cost 139 inf + 0 531.941 * * [simplify]: Extracting #5: cost 183 inf + 250 531.942 * * [simplify]: Extracting #6: cost 216 inf + 1871 531.946 * * [simplify]: Extracting #7: cost 150 inf + 11654 531.951 * * [simplify]: Extracting #8: cost 81 inf + 33280 531.959 * * [simplify]: Extracting #9: cost 41 inf + 48588 531.971 * * [simplify]: Extracting #10: cost 18 inf + 66742 531.986 * * [simplify]: Extracting #11: cost 0 inf + 81952 532.002 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) 532.003 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 532.003 * * * * [progress]: [ 1781 / 5906 ] simplifiying candidate # 532.003 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 532.004 * * [simplify]: iters left: 6 (35 enodes) 532.013 * * [simplify]: iters left: 5 (158 enodes) 532.049 * * [simplify]: iters left: 4 (424 enodes) 532.207 * * [simplify]: Extracting #0: cost 1 inf + 0 532.207 * * [simplify]: Extracting #1: cost 3 inf + 0 532.207 * * [simplify]: Extracting #2: cost 16 inf + 0 532.207 * * [simplify]: Extracting #3: cost 166 inf + 0 532.208 * * [simplify]: Extracting #4: cost 356 inf + 44 532.210 * * [simplify]: Extracting #5: cost 392 inf + 6254 532.214 * * [simplify]: Extracting #6: cost 423 inf + 17333 532.225 * * [simplify]: Extracting #7: cost 355 inf + 55356 532.250 * * [simplify]: Extracting #8: cost 210 inf + 101437 532.299 * * [simplify]: Extracting #9: cost 74 inf + 162457 532.352 * * [simplify]: Extracting #10: cost 6 inf + 211197 532.410 * * [simplify]: Extracting #11: cost 0 inf + 215467 532.477 * * [simplify]: Extracting #12: cost 0 inf + 215387 532.534 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))) 532.534 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 532.534 * * * * [progress]: [ 1782 / 5906 ] simplifiying candidate # 532.534 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 532.535 * * [simplify]: iters left: 6 (41 enodes) 532.545 * * [simplify]: iters left: 5 (191 enodes) 532.597 * * [simplify]: iters left: 4 (492 enodes) 532.806 * * [simplify]: Extracting #0: cost 1 inf + 0 532.806 * * [simplify]: Extracting #1: cost 3 inf + 0 532.806 * * [simplify]: Extracting #2: cost 18 inf + 0 532.806 * * [simplify]: Extracting #3: cost 158 inf + 0 532.807 * * [simplify]: Extracting #4: cost 357 inf + 168 532.809 * * [simplify]: Extracting #5: cost 465 inf + 2638 532.813 * * [simplify]: Extracting #6: cost 530 inf + 13573 532.826 * * [simplify]: Extracting #7: cost 473 inf + 47007 532.849 * * [simplify]: Extracting #8: cost 232 inf + 135311 532.913 * * [simplify]: Extracting #9: cost 76 inf + 207777 532.980 * * [simplify]: Extracting #10: cost 11 inf + 267442 533.066 * * [simplify]: Extracting #11: cost 0 inf + 279117 533.152 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))))) 533.152 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 533.153 * * * * [progress]: [ 1783 / 5906 ] simplifiying candidate # 533.153 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 533.153 * * [simplify]: iters left: 6 (35 enodes) 533.162 * * [simplify]: iters left: 5 (158 enodes) 533.196 * * [simplify]: iters left: 4 (411 enodes) 533.370 * * [simplify]: Extracting #0: cost 1 inf + 0 533.370 * * [simplify]: Extracting #1: cost 3 inf + 0 533.370 * * [simplify]: Extracting #2: cost 13 inf + 0 533.371 * * [simplify]: Extracting #3: cost 111 inf + 0 533.371 * * [simplify]: Extracting #4: cost 263 inf + 44 533.373 * * [simplify]: Extracting #5: cost 353 inf + 2733 533.379 * * [simplify]: Extracting #6: cost 344 inf + 27712 533.401 * * [simplify]: Extracting #7: cost 250 inf + 76398 533.431 * * [simplify]: Extracting #8: cost 222 inf + 81739 533.454 * * [simplify]: Extracting #9: cost 151 inf + 104030 533.488 * * [simplify]: Extracting #10: cost 32 inf + 154085 533.548 * * [simplify]: Extracting #11: cost 3 inf + 179530 533.595 * * [simplify]: Extracting #12: cost 0 inf + 182565 533.690 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) 533.690 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 533.690 * * * * [progress]: [ 1784 / 5906 ] simplifiying candidate # 533.691 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 533.691 * * [simplify]: iters left: 6 (41 enodes) 533.709 * * [simplify]: iters left: 5 (191 enodes) 533.754 * * [simplify]: iters left: 4 (492 enodes) 533.963 * * [simplify]: Extracting #0: cost 1 inf + 0 533.964 * * [simplify]: Extracting #1: cost 3 inf + 0 533.964 * * [simplify]: Extracting #2: cost 18 inf + 0 533.964 * * [simplify]: Extracting #3: cost 142 inf + 0 533.965 * * [simplify]: Extracting #4: cost 321 inf + 127 533.967 * * [simplify]: Extracting #5: cost 473 inf + 825 533.971 * * [simplify]: Extracting #6: cost 553 inf + 7703 533.985 * * [simplify]: Extracting #7: cost 513 inf + 29355 534.002 * * [simplify]: Extracting #8: cost 292 inf + 107424 534.055 * * [simplify]: Extracting #9: cost 79 inf + 205445 534.140 * * [simplify]: Extracting #10: cost 11 inf + 268062 534.212 * * [simplify]: Extracting #11: cost 0 inf + 278577 534.293 * [simplify]: Simplified to (sqrt (+ (* (- phi1 phi2) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))))) 534.293 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- phi1 phi2) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 534.294 * * * * [progress]: [ 1785 / 5906 ] simplifiying candidate # 534.295 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 534.295 * * [simplify]: iters left: 6 (35 enodes) 534.312 * * [simplify]: iters left: 5 (158 enodes) 534.354 * * [simplify]: iters left: 4 (411 enodes) 534.514 * * [simplify]: Extracting #0: cost 1 inf + 0 534.514 * * [simplify]: Extracting #1: cost 3 inf + 0 534.515 * * [simplify]: Extracting #2: cost 13 inf + 0 534.515 * * [simplify]: Extracting #3: cost 108 inf + 0 534.516 * * [simplify]: Extracting #4: cost 273 inf + 44 534.520 * * [simplify]: Extracting #5: cost 365 inf + 2321 534.526 * * [simplify]: Extracting #6: cost 394 inf + 12160 534.538 * * [simplify]: Extracting #7: cost 346 inf + 38906 534.565 * * [simplify]: Extracting #8: cost 149 inf + 108960 534.615 * * [simplify]: Extracting #9: cost 11 inf + 169916 534.674 * * [simplify]: Extracting #10: cost 2 inf + 178821 534.717 * * [simplify]: Extracting #11: cost 0 inf + 181391 534.773 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) 534.774 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 534.774 * * * * [progress]: [ 1786 / 5906 ] simplifiying candidate # 534.774 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 534.775 * * [simplify]: iters left: 6 (48 enodes) 534.790 * * [simplify]: iters left: 5 (229 enodes) 534.848 * * [simplify]: Extracting #0: cost 1 inf + 0 534.848 * * [simplify]: Extracting #1: cost 3 inf + 0 534.848 * * [simplify]: Extracting #2: cost 6 inf + 0 534.848 * * [simplify]: Extracting #3: cost 52 inf + 0 534.849 * * [simplify]: Extracting #4: cost 118 inf + 0 534.853 * * [simplify]: Extracting #5: cost 184 inf + 0 534.854 * * [simplify]: Extracting #6: cost 248 inf + 45 534.857 * * [simplify]: Extracting #7: cost 208 inf + 4486 534.866 * * [simplify]: Extracting #8: cost 109 inf + 31397 534.897 * * [simplify]: Extracting #9: cost 9 inf + 91226 534.930 * * [simplify]: Extracting #10: cost 0 inf + 101571 534.950 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) 534.951 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 534.951 * * * * [progress]: [ 1787 / 5906 ] simplifiying candidate # 534.951 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 534.952 * * [simplify]: iters left: 6 (49 enodes) 534.976 * * [simplify]: iters left: 5 (238 enodes) 535.047 * * [simplify]: Extracting #0: cost 1 inf + 0 535.047 * * [simplify]: Extracting #1: cost 3 inf + 0 535.047 * * [simplify]: Extracting #2: cost 6 inf + 0 535.047 * * [simplify]: Extracting #3: cost 56 inf + 0 535.048 * * [simplify]: Extracting #4: cost 141 inf + 0 535.048 * * [simplify]: Extracting #5: cost 196 inf + 126 535.050 * * [simplify]: Extracting #6: cost 218 inf + 5688 535.055 * * [simplify]: Extracting #7: cost 189 inf + 10633 535.063 * * [simplify]: Extracting #8: cost 145 inf + 19417 535.070 * * [simplify]: Extracting #9: cost 86 inf + 42702 535.080 * * [simplify]: Extracting #10: cost 43 inf + 62113 535.099 * * [simplify]: Extracting #11: cost 6 inf + 96718 535.127 * * [simplify]: Extracting #12: cost 0 inf + 104308 535.166 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) 535.166 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 535.167 * * * * [progress]: [ 1788 / 5906 ] simplifiying candidate # 535.167 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 535.168 * * [simplify]: iters left: 6 (49 enodes) 535.193 * * [simplify]: iters left: 5 (238 enodes) 535.266 * * [simplify]: Extracting #0: cost 1 inf + 0 535.266 * * [simplify]: Extracting #1: cost 3 inf + 0 535.266 * * [simplify]: Extracting #2: cost 6 inf + 0 535.266 * * [simplify]: Extracting #3: cost 58 inf + 0 535.266 * * [simplify]: Extracting #4: cost 139 inf + 0 535.267 * * [simplify]: Extracting #5: cost 192 inf + 166 535.270 * * [simplify]: Extracting #6: cost 219 inf + 4757 535.275 * * [simplify]: Extracting #7: cost 181 inf + 11422 535.283 * * [simplify]: Extracting #8: cost 119 inf + 26520 535.299 * * [simplify]: Extracting #9: cost 59 inf + 49827 535.329 * * [simplify]: Extracting #10: cost 10 inf + 89751 535.361 * * [simplify]: Extracting #11: cost 0 inf + 100860 535.388 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 535.388 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 535.389 * * * * [progress]: [ 1789 / 5906 ] simplifiying candidate # 535.389 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 535.390 * * [simplify]: iters left: 6 (43 enodes) 535.411 * * [simplify]: iters left: 5 (202 enodes) 535.477 * * [simplify]: Extracting #0: cost 1 inf + 0 535.477 * * [simplify]: Extracting #1: cost 3 inf + 0 535.477 * * [simplify]: Extracting #2: cost 6 inf + 0 535.477 * * [simplify]: Extracting #3: cost 50 inf + 0 535.478 * * [simplify]: Extracting #4: cost 107 inf + 0 535.478 * * [simplify]: Extracting #5: cost 138 inf + 249 535.479 * * [simplify]: Extracting #6: cost 186 inf + 1234 535.480 * * [simplify]: Extracting #7: cost 166 inf + 4964 535.483 * * [simplify]: Extracting #8: cost 112 inf + 16925 535.491 * * [simplify]: Extracting #9: cost 61 inf + 36805 535.504 * * [simplify]: Extracting #10: cost 9 inf + 71789 535.530 * * [simplify]: Extracting #11: cost 0 inf + 79999 535.546 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) 535.546 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 535.547 * * * * [progress]: [ 1790 / 5906 ] simplifiying candidate # 535.547 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 535.548 * * [simplify]: iters left: 6 (48 enodes) 535.562 * * [simplify]: iters left: 5 (230 enodes) 535.621 * * [simplify]: Extracting #0: cost 1 inf + 0 535.622 * * [simplify]: Extracting #1: cost 3 inf + 0 535.622 * * [simplify]: Extracting #2: cost 10 inf + 0 535.622 * * [simplify]: Extracting #3: cost 70 inf + 0 535.622 * * [simplify]: Extracting #4: cost 124 inf + 42 535.623 * * [simplify]: Extracting #5: cost 164 inf + 207 535.624 * * [simplify]: Extracting #6: cost 209 inf + 1962 535.626 * * [simplify]: Extracting #7: cost 191 inf + 5848 535.629 * * [simplify]: Extracting #8: cost 130 inf + 20511 535.637 * * [simplify]: Extracting #9: cost 49 inf + 53022 535.656 * * [simplify]: Extracting #10: cost 4 inf + 88630 535.675 * * [simplify]: Extracting #11: cost 0 inf + 94530 535.714 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 535.714 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 535.715 * * * * [progress]: [ 1791 / 5906 ] simplifiying candidate # 535.716 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 535.716 * * [simplify]: iters left: 6 (43 enodes) 535.730 * * [simplify]: iters left: 5 (202 enodes) 535.774 * * [simplify]: iters left: 4 (498 enodes) 535.972 * * [simplify]: Extracting #0: cost 1 inf + 0 535.972 * * [simplify]: Extracting #1: cost 3 inf + 0 535.972 * * [simplify]: Extracting #2: cost 12 inf + 0 535.972 * * [simplify]: Extracting #3: cost 110 inf + 0 535.974 * * [simplify]: Extracting #4: cost 261 inf + 85 535.977 * * [simplify]: Extracting #5: cost 351 inf + 2812 535.983 * * [simplify]: Extracting #6: cost 453 inf + 6674 535.990 * * [simplify]: Extracting #7: cost 493 inf + 15545 536.001 * * [simplify]: Extracting #8: cost 335 inf + 60204 536.043 * * [simplify]: Extracting #9: cost 114 inf + 152599 536.111 * * [simplify]: Extracting #10: cost 11 inf + 218913 536.183 * * [simplify]: Extracting #11: cost 0 inf + 226489 536.251 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) 536.251 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 536.252 * * * * [progress]: [ 1792 / 5906 ] simplifiying candidate # 536.252 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 536.252 * * [simplify]: iters left: 6 (48 enodes) 536.265 * * [simplify]: iters left: 5 (230 enodes) 536.322 * * [simplify]: Extracting #0: cost 1 inf + 0 536.322 * * [simplify]: Extracting #1: cost 3 inf + 0 536.322 * * [simplify]: Extracting #2: cost 10 inf + 0 536.322 * * [simplify]: Extracting #3: cost 70 inf + 0 536.323 * * [simplify]: Extracting #4: cost 124 inf + 42 536.324 * * [simplify]: Extracting #5: cost 163 inf + 249 536.325 * * [simplify]: Extracting #6: cost 205 inf + 2769 536.327 * * [simplify]: Extracting #7: cost 191 inf + 5848 536.330 * * [simplify]: Extracting #8: cost 134 inf + 19371 536.339 * * [simplify]: Extracting #9: cost 47 inf + 55274 536.355 * * [simplify]: Extracting #10: cost 3 inf + 90775 536.380 * * [simplify]: Extracting #11: cost 0 inf + 95650 536.402 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 536.402 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 536.403 * * * * [progress]: [ 1793 / 5906 ] simplifiying candidate # 536.403 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 536.403 * * [simplify]: iters left: 6 (43 enodes) 536.414 * * [simplify]: iters left: 5 (202 enodes) 536.459 * * [simplify]: iters left: 4 (498 enodes) 536.687 * * [simplify]: Extracting #0: cost 1 inf + 0 536.687 * * [simplify]: Extracting #1: cost 3 inf + 0 536.687 * * [simplify]: Extracting #2: cost 12 inf + 0 536.687 * * [simplify]: Extracting #3: cost 107 inf + 0 536.688 * * [simplify]: Extracting #4: cost 271 inf + 85 536.690 * * [simplify]: Extracting #5: cost 365 inf + 1881 536.693 * * [simplify]: Extracting #6: cost 462 inf + 6430 536.699 * * [simplify]: Extracting #7: cost 500 inf + 16470 536.714 * * [simplify]: Extracting #8: cost 330 inf + 65550 536.745 * * [simplify]: Extracting #9: cost 129 inf + 146697 536.804 * * [simplify]: Extracting #10: cost 16 inf + 215530 536.869 * * [simplify]: Extracting #11: cost 1 inf + 228210 536.955 * * [simplify]: Extracting #12: cost 0 inf + 229755 537.013 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) 537.014 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 537.014 * * * * [progress]: [ 1794 / 5906 ] simplifiying candidate # 537.014 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 537.015 * * [simplify]: iters left: 6 (41 enodes) 537.025 * * [simplify]: iters left: 5 (191 enodes) 537.074 * * [simplify]: Extracting #0: cost 1 inf + 0 537.074 * * [simplify]: Extracting #1: cost 3 inf + 0 537.074 * * [simplify]: Extracting #2: cost 6 inf + 0 537.074 * * [simplify]: Extracting #3: cost 52 inf + 0 537.074 * * [simplify]: Extracting #4: cost 118 inf + 0 537.075 * * [simplify]: Extracting #5: cost 176 inf + 0 537.075 * * [simplify]: Extracting #6: cost 222 inf + 130 537.077 * * [simplify]: Extracting #7: cost 185 inf + 7953 537.081 * * [simplify]: Extracting #8: cost 77 inf + 35366 537.096 * * [simplify]: Extracting #9: cost 18 inf + 71400 537.113 * * [simplify]: Extracting #10: cost 0 inf + 83905 537.139 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) 537.139 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 537.140 * * * * [progress]: [ 1795 / 5906 ] simplifiying candidate # 537.140 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 537.141 * * [simplify]: iters left: 6 (42 enodes) 537.162 * * [simplify]: iters left: 5 (200 enodes) 537.210 * * [simplify]: Extracting #0: cost 1 inf + 0 537.210 * * [simplify]: Extracting #1: cost 3 inf + 0 537.210 * * [simplify]: Extracting #2: cost 6 inf + 0 537.210 * * [simplify]: Extracting #3: cost 56 inf + 0 537.211 * * [simplify]: Extracting #4: cost 141 inf + 0 537.211 * * [simplify]: Extracting #5: cost 188 inf + 208 537.212 * * [simplify]: Extracting #6: cost 224 inf + 1155 537.214 * * [simplify]: Extracting #7: cost 157 inf + 10722 537.219 * * [simplify]: Extracting #8: cost 101 inf + 28848 537.226 * * [simplify]: Extracting #9: cost 71 inf + 38696 537.241 * * [simplify]: Extracting #10: cost 37 inf + 52597 537.255 * * [simplify]: Extracting #11: cost 19 inf + 68047 537.271 * * [simplify]: Extracting #12: cost 0 inf + 84762 537.297 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) 537.297 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 537.297 * * * * [progress]: [ 1796 / 5906 ] simplifiying candidate # 537.298 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 537.298 * * [simplify]: iters left: 6 (42 enodes) 537.311 * * [simplify]: iters left: 5 (200 enodes) 537.359 * * [simplify]: Extracting #0: cost 1 inf + 0 537.359 * * [simplify]: Extracting #1: cost 3 inf + 0 537.360 * * [simplify]: Extracting #2: cost 6 inf + 0 537.360 * * [simplify]: Extracting #3: cost 58 inf + 0 537.360 * * [simplify]: Extracting #4: cost 139 inf + 0 537.360 * * [simplify]: Extracting #5: cost 185 inf + 86 537.361 * * [simplify]: Extracting #6: cost 216 inf + 1822 537.363 * * [simplify]: Extracting #7: cost 156 inf + 10598 537.368 * * [simplify]: Extracting #8: cost 102 inf + 27366 537.375 * * [simplify]: Extracting #9: cost 59 inf + 44266 537.393 * * [simplify]: Extracting #10: cost 10 inf + 72784 537.416 * * [simplify]: Extracting #11: cost 0 inf + 80954 537.432 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) 537.432 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 537.433 * * * * [progress]: [ 1797 / 5906 ] simplifiying candidate # 537.433 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 537.433 * * [simplify]: iters left: 6 (35 enodes) 537.442 * * [simplify]: iters left: 5 (159 enodes) 537.485 * * [simplify]: iters left: 4 (428 enodes) 537.646 * * [simplify]: Extracting #0: cost 1 inf + 0 537.646 * * [simplify]: Extracting #1: cost 3 inf + 0 537.646 * * [simplify]: Extracting #2: cost 16 inf + 0 537.647 * * [simplify]: Extracting #3: cost 164 inf + 0 537.648 * * [simplify]: Extracting #4: cost 352 inf + 86 537.650 * * [simplify]: Extracting #5: cost 392 inf + 5167 537.654 * * [simplify]: Extracting #6: cost 426 inf + 16805 537.672 * * [simplify]: Extracting #7: cost 339 inf + 58942 537.701 * * [simplify]: Extracting #8: cost 281 inf + 78839 537.722 * * [simplify]: Extracting #9: cost 234 inf + 94474 537.768 * * [simplify]: Extracting #10: cost 65 inf + 166591 537.829 * * [simplify]: Extracting #11: cost 0 inf + 214256 537.888 * * [simplify]: Extracting #12: cost 0 inf + 214096 537.963 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) 537.963 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 537.963 * * * * [progress]: [ 1798 / 5906 ] simplifiying candidate # 537.964 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 537.964 * * [simplify]: iters left: 6 (41 enodes) 537.985 * * [simplify]: iters left: 5 (192 enodes) 538.025 * * [simplify]: iters left: 4 (496 enodes) 538.227 * * [simplify]: Extracting #0: cost 1 inf + 0 538.227 * * [simplify]: Extracting #1: cost 3 inf + 0 538.227 * * [simplify]: Extracting #2: cost 18 inf + 0 538.228 * * [simplify]: Extracting #3: cost 158 inf + 0 538.229 * * [simplify]: Extracting #4: cost 359 inf + 86 538.230 * * [simplify]: Extracting #5: cost 476 inf + 1462 538.233 * * [simplify]: Extracting #6: cost 542 inf + 11185 538.240 * * [simplify]: Extracting #7: cost 492 inf + 35377 538.259 * * [simplify]: Extracting #8: cost 275 inf + 113021 538.306 * * [simplify]: Extracting #9: cost 78 inf + 204587 538.372 * * [simplify]: Extracting #10: cost 9 inf + 265611 538.454 * * [simplify]: Extracting #11: cost 0 inf + 273436 538.537 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (+ lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) 538.537 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (+ lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 538.538 * * * * [progress]: [ 1799 / 5906 ] simplifiying candidate # 538.538 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 538.538 * * [simplify]: iters left: 6 (35 enodes) 538.547 * * [simplify]: iters left: 5 (159 enodes) 538.582 * * [simplify]: iters left: 4 (415 enodes) 538.744 * * [simplify]: Extracting #0: cost 1 inf + 0 538.744 * * [simplify]: Extracting #1: cost 3 inf + 0 538.744 * * [simplify]: Extracting #2: cost 13 inf + 0 538.744 * * [simplify]: Extracting #3: cost 112 inf + 0 538.745 * * [simplify]: Extracting #4: cost 264 inf + 44 538.746 * * [simplify]: Extracting #5: cost 357 inf + 2328 538.749 * * [simplify]: Extracting #6: cost 400 inf + 10540 538.762 * * [simplify]: Extracting #7: cost 329 inf + 42664 538.781 * * [simplify]: Extracting #8: cost 220 inf + 81703 538.813 * * [simplify]: Extracting #9: cost 130 inf + 116290 538.853 * * [simplify]: Extracting #10: cost 14 inf + 169409 538.901 * * [simplify]: Extracting #11: cost 1 inf + 177894 538.944 * * [simplify]: Extracting #12: cost 0 inf + 179199 538.996 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 538.996 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 538.996 * * * * [progress]: [ 1800 / 5906 ] simplifiying candidate # 538.996 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 538.997 * * [simplify]: iters left: 6 (41 enodes) 539.008 * * [simplify]: iters left: 5 (192 enodes) 539.055 * * [simplify]: iters left: 4 (496 enodes) 539.250 * * [simplify]: Extracting #0: cost 1 inf + 0 539.250 * * [simplify]: Extracting #1: cost 3 inf + 0 539.250 * * [simplify]: Extracting #2: cost 18 inf + 0 539.250 * * [simplify]: Extracting #3: cost 142 inf + 0 539.251 * * [simplify]: Extracting #4: cost 320 inf + 169 539.253 * * [simplify]: Extracting #5: cost 473 inf + 704 539.256 * * [simplify]: Extracting #6: cost 528 inf + 15352 539.283 * * [simplify]: Extracting #7: cost 411 inf + 75533 539.311 * * [simplify]: Extracting #8: cost 242 inf + 129427 539.360 * * [simplify]: Extracting #9: cost 99 inf + 192181 539.440 * * [simplify]: Extracting #10: cost 24 inf + 248896 539.522 * * [simplify]: Extracting #11: cost 2 inf + 270006 539.626 * * [simplify]: Extracting #12: cost 0 inf + 273136 539.698 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (- phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))))) 539.698 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (- phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 539.698 * * * * [progress]: [ 1801 / 5906 ] simplifiying candidate # 539.698 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 539.699 * * [simplify]: iters left: 6 (35 enodes) 539.707 * * [simplify]: iters left: 5 (159 enodes) 539.738 * * [simplify]: iters left: 4 (415 enodes) 539.909 * * [simplify]: Extracting #0: cost 1 inf + 0 539.909 * * [simplify]: Extracting #1: cost 3 inf + 0 539.909 * * [simplify]: Extracting #2: cost 13 inf + 0 539.909 * * [simplify]: Extracting #3: cost 109 inf + 0 539.910 * * [simplify]: Extracting #4: cost 274 inf + 44 539.916 * * [simplify]: Extracting #5: cost 366 inf + 2243 539.919 * * [simplify]: Extracting #6: cost 410 inf + 10495 539.928 * * [simplify]: Extracting #7: cost 340 inf + 41780 539.958 * * [simplify]: Extracting #8: cost 158 inf + 103897 540.000 * * [simplify]: Extracting #9: cost 27 inf + 158030 540.065 * * [simplify]: Extracting #10: cost 3 inf + 178070 540.120 * * [simplify]: Extracting #11: cost 0 inf + 181905 540.178 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 540.178 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 540.178 * * * * [progress]: [ 1802 / 5906 ] simplifiying candidate # 540.179 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 540.179 * * [simplify]: iters left: 6 (52 enodes) 540.194 * * [simplify]: iters left: 5 (254 enodes) 540.258 * * [simplify]: Extracting #0: cost 1 inf + 0 540.259 * * [simplify]: Extracting #1: cost 3 inf + 0 540.259 * * [simplify]: Extracting #2: cost 6 inf + 0 540.259 * * [simplify]: Extracting #3: cost 56 inf + 0 540.259 * * [simplify]: Extracting #4: cost 130 inf + 0 540.260 * * [simplify]: Extracting #5: cost 208 inf + 0 540.260 * * [simplify]: Extracting #6: cost 301 inf + 86 540.262 * * [simplify]: Extracting #7: cost 258 inf + 5263 540.269 * * [simplify]: Extracting #8: cost 166 inf + 27016 540.279 * * [simplify]: Extracting #9: cost 96 inf + 55560 540.293 * * [simplify]: Extracting #10: cost 47 inf + 75612 540.314 * * [simplify]: Extracting #11: cost 12 inf + 111965 540.347 * * [simplify]: Extracting #12: cost 0 inf + 127465 540.373 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) 540.373 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 540.374 * * * * [progress]: [ 1803 / 5906 ] simplifiying candidate # 540.375 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 540.375 * * [simplify]: iters left: 6 (53 enodes) 540.389 * * [simplify]: iters left: 5 (263 enodes) 540.452 * * [simplify]: Extracting #0: cost 1 inf + 0 540.452 * * [simplify]: Extracting #1: cost 3 inf + 0 540.452 * * [simplify]: Extracting #2: cost 6 inf + 0 540.452 * * [simplify]: Extracting #3: cost 60 inf + 0 540.452 * * [simplify]: Extracting #4: cost 153 inf + 0 540.453 * * [simplify]: Extracting #5: cost 222 inf + 44 540.454 * * [simplify]: Extracting #6: cost 275 inf + 5002 540.457 * * [simplify]: Extracting #7: cost 245 inf + 10070 540.462 * * [simplify]: Extracting #8: cost 172 inf + 25812 540.471 * * [simplify]: Extracting #9: cost 88 inf + 61317 540.487 * * [simplify]: Extracting #10: cost 48 inf + 76682 540.511 * * [simplify]: Extracting #11: cost 15 inf + 111187 540.543 * * [simplify]: Extracting #12: cost 0 inf + 128882 540.586 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 540.586 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 540.587 * * * * [progress]: [ 1804 / 5906 ] simplifiying candidate # 540.587 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 540.588 * * [simplify]: iters left: 6 (53 enodes) 540.606 * * [simplify]: iters left: 5 (263 enodes) 540.675 * * [simplify]: Extracting #0: cost 1 inf + 0 540.675 * * [simplify]: Extracting #1: cost 3 inf + 0 540.675 * * [simplify]: Extracting #2: cost 6 inf + 0 540.675 * * [simplify]: Extracting #3: cost 62 inf + 0 540.675 * * [simplify]: Extracting #4: cost 151 inf + 0 540.676 * * [simplify]: Extracting #5: cost 217 inf + 86 540.677 * * [simplify]: Extracting #6: cost 279 inf + 3505 540.680 * * [simplify]: Extracting #7: cost 243 inf + 10545 540.684 * * [simplify]: Extracting #8: cost 163 inf + 26034 540.693 * * [simplify]: Extracting #9: cost 76 inf + 59469 540.710 * * [simplify]: Extracting #10: cost 36 inf + 84595 540.736 * * [simplify]: Extracting #11: cost 9 inf + 115689 540.761 * * [simplify]: Extracting #12: cost 0 inf + 126674 540.806 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* phi1 phi1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi2 phi2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 540.806 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* phi1 phi1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi2 phi2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 540.808 * * * * [progress]: [ 1805 / 5906 ] simplifiying candidate # 540.808 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 540.809 * * [simplify]: iters left: 6 (47 enodes) 540.825 * * [simplify]: iters left: 5 (227 enodes) 540.883 * * [simplify]: Extracting #0: cost 1 inf + 0 540.883 * * [simplify]: Extracting #1: cost 3 inf + 0 540.883 * * [simplify]: Extracting #2: cost 6 inf + 0 540.883 * * [simplify]: Extracting #3: cost 54 inf + 0 540.883 * * [simplify]: Extracting #4: cost 119 inf + 0 540.884 * * [simplify]: Extracting #5: cost 166 inf + 44 540.884 * * [simplify]: Extracting #6: cost 236 inf + 1721 540.886 * * [simplify]: Extracting #7: cost 211 inf + 5701 540.889 * * [simplify]: Extracting #8: cost 170 inf + 13266 540.894 * * [simplify]: Extracting #9: cost 112 inf + 32336 540.915 * * [simplify]: Extracting #10: cost 32 inf + 70133 540.935 * * [simplify]: Extracting #11: cost 4 inf + 98113 540.967 * * [simplify]: Extracting #12: cost 1 inf + 102868 541.007 * * [simplify]: Extracting #13: cost 0 inf + 104733 541.031 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 541.031 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 541.032 * * * * [progress]: [ 1806 / 5906 ] simplifiying candidate # 541.032 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 541.032 * * [simplify]: iters left: 6 (52 enodes) 541.047 * * [simplify]: iters left: 5 (255 enodes) 541.135 * * [simplify]: Extracting #0: cost 1 inf + 0 541.135 * * [simplify]: Extracting #1: cost 3 inf + 0 541.135 * * [simplify]: Extracting #2: cost 10 inf + 0 541.135 * * [simplify]: Extracting #3: cost 74 inf + 0 541.136 * * [simplify]: Extracting #4: cost 137 inf + 1 541.136 * * [simplify]: Extracting #5: cost 187 inf + 248 541.137 * * [simplify]: Extracting #6: cost 264 inf + 1840 541.139 * * [simplify]: Extracting #7: cost 234 inf + 7113 541.144 * * [simplify]: Extracting #8: cost 140 inf + 30219 541.160 * * [simplify]: Extracting #9: cost 75 inf + 53703 541.173 * * [simplify]: Extracting #10: cost 39 inf + 76901 541.203 * * [simplify]: Extracting #11: cost 3 inf + 113549 541.228 * * [simplify]: Extracting #12: cost 0 inf + 119584 541.260 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 541.260 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 541.261 * * * * [progress]: [ 1807 / 5906 ] simplifiying candidate # 541.261 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 541.262 * * [simplify]: iters left: 6 (47 enodes) 541.273 * * [simplify]: iters left: 5 (227 enodes) 541.339 * * [simplify]: Extracting #0: cost 1 inf + 0 541.339 * * [simplify]: Extracting #1: cost 3 inf + 0 541.339 * * [simplify]: Extracting #2: cost 10 inf + 0 541.339 * * [simplify]: Extracting #3: cost 66 inf + 0 541.340 * * [simplify]: Extracting #4: cost 117 inf + 44 541.340 * * [simplify]: Extracting #5: cost 150 inf + 1348 541.341 * * [simplify]: Extracting #6: cost 228 inf + 2932 541.343 * * [simplify]: Extracting #7: cost 218 inf + 5164 541.345 * * [simplify]: Extracting #8: cost 170 inf + 13341 541.350 * * [simplify]: Extracting #9: cost 117 inf + 30411 541.360 * * [simplify]: Extracting #10: cost 51 inf + 56573 541.381 * * [simplify]: Extracting #11: cost 2 inf + 97293 541.401 * * [simplify]: Extracting #12: cost 1 inf + 99118 541.425 * * [simplify]: Extracting #13: cost 0 inf + 100943 541.445 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) 541.446 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 541.446 * * * * [progress]: [ 1808 / 5906 ] simplifiying candidate # 541.446 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 541.447 * * [simplify]: iters left: 6 (52 enodes) 541.460 * * [simplify]: iters left: 5 (255 enodes) 541.519 * * [simplify]: Extracting #0: cost 1 inf + 0 541.519 * * [simplify]: Extracting #1: cost 3 inf + 0 541.519 * * [simplify]: Extracting #2: cost 10 inf + 0 541.519 * * [simplify]: Extracting #3: cost 74 inf + 0 541.520 * * [simplify]: Extracting #4: cost 137 inf + 1 541.520 * * [simplify]: Extracting #5: cost 187 inf + 248 541.521 * * [simplify]: Extracting #6: cost 267 inf + 1515 541.523 * * [simplify]: Extracting #7: cost 235 inf + 6630 541.528 * * [simplify]: Extracting #8: cost 140 inf + 30329 541.537 * * [simplify]: Extracting #9: cost 75 inf + 53863 541.552 * * [simplify]: Extracting #10: cost 39 inf + 77461 541.576 * * [simplify]: Extracting #11: cost 3 inf + 114509 541.623 * * [simplify]: Extracting #12: cost 0 inf + 120544 541.648 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 541.648 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 541.648 * * * * [progress]: [ 1809 / 5906 ] simplifiying candidate # 541.649 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 541.649 * * [simplify]: iters left: 6 (47 enodes) 541.662 * * [simplify]: iters left: 5 (227 enodes) 541.713 * * [simplify]: Extracting #0: cost 1 inf + 0 541.714 * * [simplify]: Extracting #1: cost 3 inf + 0 541.714 * * [simplify]: Extracting #2: cost 10 inf + 0 541.714 * * [simplify]: Extracting #3: cost 65 inf + 0 541.714 * * [simplify]: Extracting #4: cost 116 inf + 86 541.715 * * [simplify]: Extracting #5: cost 146 inf + 1876 541.716 * * [simplify]: Extracting #6: cost 228 inf + 2932 541.717 * * [simplify]: Extracting #7: cost 217 inf + 5326 541.720 * * [simplify]: Extracting #8: cost 169 inf + 13865 541.726 * * [simplify]: Extracting #9: cost 116 inf + 30435 541.739 * * [simplify]: Extracting #10: cost 50 inf + 56897 541.758 * * [simplify]: Extracting #11: cost 2 inf + 97373 541.786 * * [simplify]: Extracting #12: cost 1 inf + 99198 541.813 * * [simplify]: Extracting #13: cost 0 inf + 101023 541.841 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) 541.841 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 541.842 * * * * [progress]: [ 1810 / 5906 ] simplifiying candidate # 541.842 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 541.842 * * [simplify]: iters left: 6 (52 enodes) 541.855 * * [simplify]: iters left: 5 (254 enodes) 541.914 * * [simplify]: Extracting #0: cost 1 inf + 0 541.914 * * [simplify]: Extracting #1: cost 3 inf + 0 541.914 * * [simplify]: Extracting #2: cost 6 inf + 0 541.914 * * [simplify]: Extracting #3: cost 56 inf + 0 541.914 * * [simplify]: Extracting #4: cost 130 inf + 0 541.915 * * [simplify]: Extracting #5: cost 210 inf + 0 541.915 * * [simplify]: Extracting #6: cost 297 inf + 45 541.917 * * [simplify]: Extracting #7: cost 258 inf + 4527 541.922 * * [simplify]: Extracting #8: cost 140 inf + 32680 541.936 * * [simplify]: Extracting #9: cost 60 inf + 62703 541.964 * * [simplify]: Extracting #10: cost 11 inf + 110701 541.994 * * [simplify]: Extracting #11: cost 1 inf + 122431 542.044 * * [simplify]: Extracting #12: cost 0 inf + 124456 542.086 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 542.086 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 542.087 * * * * [progress]: [ 1811 / 5906 ] simplifiying candidate # 542.087 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 542.088 * * [simplify]: iters left: 6 (53 enodes) 542.101 * * [simplify]: iters left: 5 (263 enodes) 542.170 * * [simplify]: Extracting #0: cost 1 inf + 0 542.170 * * [simplify]: Extracting #1: cost 3 inf + 0 542.170 * * [simplify]: Extracting #2: cost 6 inf + 0 542.170 * * [simplify]: Extracting #3: cost 60 inf + 0 542.170 * * [simplify]: Extracting #4: cost 153 inf + 0 542.171 * * [simplify]: Extracting #5: cost 224 inf + 44 542.172 * * [simplify]: Extracting #6: cost 275 inf + 3751 542.175 * * [simplify]: Extracting #7: cost 226 inf + 12258 542.183 * * [simplify]: Extracting #8: cost 172 inf + 21550 542.194 * * [simplify]: Extracting #9: cost 117 inf + 40362 542.206 * * [simplify]: Extracting #10: cost 55 inf + 70982 542.241 * * [simplify]: Extracting #11: cost 6 inf + 121403 542.268 * * [simplify]: Extracting #12: cost 0 inf + 128793 542.300 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 542.300 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 542.300 * * * * [progress]: [ 1812 / 5906 ] simplifiying candidate # 542.301 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 542.301 * * [simplify]: iters left: 6 (53 enodes) 542.316 * * [simplify]: iters left: 5 (263 enodes) 542.392 * * [simplify]: Extracting #0: cost 1 inf + 0 542.392 * * [simplify]: Extracting #1: cost 3 inf + 0 542.393 * * [simplify]: Extracting #2: cost 6 inf + 0 542.393 * * [simplify]: Extracting #3: cost 62 inf + 0 542.393 * * [simplify]: Extracting #4: cost 151 inf + 0 542.394 * * [simplify]: Extracting #5: cost 220 inf + 44 542.397 * * [simplify]: Extracting #6: cost 269 inf + 4236 542.402 * * [simplify]: Extracting #7: cost 231 inf + 11322 542.410 * * [simplify]: Extracting #8: cost 170 inf + 22037 542.425 * * [simplify]: Extracting #9: cost 106 inf + 46085 542.439 * * [simplify]: Extracting #10: cost 53 inf + 71984 542.465 * * [simplify]: Extracting #11: cost 7 inf + 118330 542.492 * * [simplify]: Extracting #12: cost 0 inf + 126465 542.531 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 542.531 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 542.532 * * * * [progress]: [ 1813 / 5906 ] simplifiying candidate # 542.532 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 542.532 * * [simplify]: iters left: 6 (47 enodes) 542.544 * * [simplify]: iters left: 5 (227 enodes) 542.596 * * [simplify]: Extracting #0: cost 1 inf + 0 542.596 * * [simplify]: Extracting #1: cost 3 inf + 0 542.596 * * [simplify]: Extracting #2: cost 6 inf + 0 542.596 * * [simplify]: Extracting #3: cost 54 inf + 0 542.597 * * [simplify]: Extracting #4: cost 119 inf + 0 542.597 * * [simplify]: Extracting #5: cost 168 inf + 44 542.598 * * [simplify]: Extracting #6: cost 233 inf + 1638 542.599 * * [simplify]: Extracting #7: cost 200 inf + 6834 542.603 * * [simplify]: Extracting #8: cost 133 inf + 21481 542.612 * * [simplify]: Extracting #9: cost 69 inf + 48921 542.631 * * [simplify]: Extracting #10: cost 24 inf + 79070 542.653 * * [simplify]: Extracting #11: cost 1 inf + 100459 542.675 * * [simplify]: Extracting #12: cost 0 inf + 102324 542.696 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))))) 542.696 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 542.697 * * * * [progress]: [ 1814 / 5906 ] simplifiying candidate # 542.697 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 542.698 * * [simplify]: iters left: 6 (52 enodes) 542.711 * * [simplify]: iters left: 5 (255 enodes) 542.774 * * [simplify]: Extracting #0: cost 1 inf + 0 542.774 * * [simplify]: Extracting #1: cost 3 inf + 0 542.775 * * [simplify]: Extracting #2: cost 10 inf + 0 542.775 * * [simplify]: Extracting #3: cost 74 inf + 0 542.775 * * [simplify]: Extracting #4: cost 137 inf + 1 542.776 * * [simplify]: Extracting #5: cost 189 inf + 248 542.777 * * [simplify]: Extracting #6: cost 251 inf + 3376 542.779 * * [simplify]: Extracting #7: cost 222 inf + 8306 542.783 * * [simplify]: Extracting #8: cost 136 inf + 28742 542.792 * * [simplify]: Extracting #9: cost 66 inf + 57998 542.823 * * [simplify]: Extracting #10: cost 14 inf + 103145 542.859 * * [simplify]: Extracting #11: cost 0 inf + 118215 542.884 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 542.884 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 542.885 * * * * [progress]: [ 1815 / 5906 ] simplifiying candidate # 542.885 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 542.886 * * [simplify]: iters left: 6 (47 enodes) 542.902 * * [simplify]: iters left: 5 (227 enodes) 542.969 * * [simplify]: Extracting #0: cost 1 inf + 0 542.969 * * [simplify]: Extracting #1: cost 3 inf + 0 542.969 * * [simplify]: Extracting #2: cost 10 inf + 0 542.970 * * [simplify]: Extracting #3: cost 66 inf + 0 542.970 * * [simplify]: Extracting #4: cost 117 inf + 44 542.970 * * [simplify]: Extracting #5: cost 155 inf + 862 542.971 * * [simplify]: Extracting #6: cost 224 inf + 2810 542.973 * * [simplify]: Extracting #7: cost 214 inf + 4681 542.976 * * [simplify]: Extracting #8: cost 142 inf + 20761 542.985 * * [simplify]: Extracting #9: cost 55 inf + 56449 543.014 * * [simplify]: Extracting #10: cost 7 inf + 91374 543.034 * * [simplify]: Extracting #11: cost 1 inf + 97589 543.054 * * [simplify]: Extracting #12: cost 0 inf + 99414 543.078 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) 543.078 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 543.079 * * * * [progress]: [ 1816 / 5906 ] simplifiying candidate # 543.079 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 543.080 * * [simplify]: iters left: 6 (52 enodes) 543.093 * * [simplify]: iters left: 5 (255 enodes) 543.160 * * [simplify]: Extracting #0: cost 1 inf + 0 543.160 * * [simplify]: Extracting #1: cost 3 inf + 0 543.160 * * [simplify]: Extracting #2: cost 10 inf + 0 543.160 * * [simplify]: Extracting #3: cost 74 inf + 0 543.160 * * [simplify]: Extracting #4: cost 137 inf + 1 543.161 * * [simplify]: Extracting #5: cost 189 inf + 248 543.162 * * [simplify]: Extracting #6: cost 257 inf + 2125 543.163 * * [simplify]: Extracting #7: cost 230 inf + 6550 543.167 * * [simplify]: Extracting #8: cost 143 inf + 26093 543.174 * * [simplify]: Extracting #9: cost 80 inf + 47811 543.194 * * [simplify]: Extracting #10: cost 15 inf + 103141 543.218 * * [simplify]: Extracting #11: cost 0 inf + 119175 543.261 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 543.261 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 543.261 * * * * [progress]: [ 1817 / 5906 ] simplifiying candidate # 543.262 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 543.262 * * [simplify]: iters left: 6 (47 enodes) 543.276 * * [simplify]: iters left: 5 (227 enodes) 543.329 * * [simplify]: Extracting #0: cost 1 inf + 0 543.329 * * [simplify]: Extracting #1: cost 3 inf + 0 543.329 * * [simplify]: Extracting #2: cost 10 inf + 0 543.329 * * [simplify]: Extracting #3: cost 65 inf + 0 543.329 * * [simplify]: Extracting #4: cost 114 inf + 370 543.330 * * [simplify]: Extracting #5: cost 151 inf + 1431 543.331 * * [simplify]: Extracting #6: cost 224 inf + 2770 543.332 * * [simplify]: Extracting #7: cost 211 inf + 5327 543.339 * * [simplify]: Extracting #8: cost 146 inf + 18537 543.351 * * [simplify]: Extracting #9: cost 79 inf + 41663 543.370 * * [simplify]: Extracting #10: cost 16 inf + 84257 543.402 * * [simplify]: Extracting #11: cost 1 inf + 97989 543.437 * * [simplify]: Extracting #12: cost 0 inf + 99814 543.457 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (+ phi1 phi2) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 543.457 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (+ phi1 phi2) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 543.458 * * * * [progress]: [ 1818 / 5906 ] simplifiying candidate # 543.458 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 543.458 * * [simplify]: iters left: 6 (52 enodes) 543.476 * * [simplify]: iters left: 5 (254 enodes) 543.544 * * [simplify]: Extracting #0: cost 1 inf + 0 543.544 * * [simplify]: Extracting #1: cost 3 inf + 0 543.544 * * [simplify]: Extracting #2: cost 6 inf + 0 543.544 * * [simplify]: Extracting #3: cost 56 inf + 0 543.544 * * [simplify]: Extracting #4: cost 130 inf + 0 543.545 * * [simplify]: Extracting #5: cost 210 inf + 0 543.545 * * [simplify]: Extracting #6: cost 290 inf + 45 543.547 * * [simplify]: Extracting #7: cost 234 inf + 7602 543.553 * * [simplify]: Extracting #8: cost 129 inf + 35695 543.564 * * [simplify]: Extracting #9: cost 55 inf + 65366 543.598 * * [simplify]: Extracting #10: cost 11 inf + 110544 543.623 * * [simplify]: Extracting #11: cost 1 inf + 122434 543.653 * * [simplify]: Extracting #12: cost 0 inf + 124499 543.699 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) 543.699 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 543.700 * * * * [progress]: [ 1819 / 5906 ] simplifiying candidate # 543.701 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 543.701 * * [simplify]: iters left: 6 (53 enodes) 543.726 * * [simplify]: iters left: 5 (263 enodes) 543.803 * * [simplify]: Extracting #0: cost 1 inf + 0 543.803 * * [simplify]: Extracting #1: cost 3 inf + 0 543.803 * * [simplify]: Extracting #2: cost 6 inf + 0 543.804 * * [simplify]: Extracting #3: cost 60 inf + 0 543.804 * * [simplify]: Extracting #4: cost 153 inf + 0 543.804 * * [simplify]: Extracting #5: cost 224 inf + 44 543.806 * * [simplify]: Extracting #6: cost 263 inf + 4720 543.808 * * [simplify]: Extracting #7: cost 226 inf + 11584 543.812 * * [simplify]: Extracting #8: cost 171 inf + 21878 543.830 * * [simplify]: Extracting #9: cost 104 inf + 48405 543.843 * * [simplify]: Extracting #10: cost 53 inf + 70911 543.857 * * [simplify]: Extracting #11: cost 35 inf + 84281 543.880 * * [simplify]: Extracting #12: cost 3 inf + 121961 543.905 * * [simplify]: Extracting #13: cost 0 inf + 127436 543.933 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 543.933 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 543.933 * * * * [progress]: [ 1820 / 5906 ] simplifiying candidate # 543.934 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 543.934 * * [simplify]: iters left: 6 (53 enodes) 543.948 * * [simplify]: iters left: 5 (263 enodes) 544.017 * * [simplify]: Extracting #0: cost 1 inf + 0 544.017 * * [simplify]: Extracting #1: cost 3 inf + 0 544.017 * * [simplify]: Extracting #2: cost 6 inf + 0 544.017 * * [simplify]: Extracting #3: cost 62 inf + 0 544.018 * * [simplify]: Extracting #4: cost 151 inf + 0 544.018 * * [simplify]: Extracting #5: cost 220 inf + 44 544.020 * * [simplify]: Extracting #6: cost 252 inf + 6416 544.022 * * [simplify]: Extracting #7: cost 223 inf + 11581 544.030 * * [simplify]: Extracting #8: cost 141 inf + 32053 544.041 * * [simplify]: Extracting #9: cost 61 inf + 63930 544.058 * * [simplify]: Extracting #10: cost 35 inf + 82993 544.080 * * [simplify]: Extracting #11: cost 5 inf + 117503 544.111 * * [simplify]: Extracting #12: cost 0 inf + 124188 544.138 * [simplify]: Simplified to (sqrt (+ (* (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 544.138 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 544.138 * * * * [progress]: [ 1821 / 5906 ] simplifiying candidate # 544.139 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 544.139 * * [simplify]: iters left: 6 (47 enodes) 544.155 * * [simplify]: iters left: 5 (227 enodes) 544.215 * * [simplify]: Extracting #0: cost 1 inf + 0 544.215 * * [simplify]: Extracting #1: cost 3 inf + 0 544.215 * * [simplify]: Extracting #2: cost 6 inf + 0 544.215 * * [simplify]: Extracting #3: cost 54 inf + 0 544.215 * * [simplify]: Extracting #4: cost 119 inf + 0 544.216 * * [simplify]: Extracting #5: cost 168 inf + 44 544.217 * * [simplify]: Extracting #6: cost 226 inf + 1559 544.218 * * [simplify]: Extracting #7: cost 203 inf + 5574 544.221 * * [simplify]: Extracting #8: cost 169 inf + 10165 544.226 * * [simplify]: Extracting #9: cost 111 inf + 29977 544.236 * * [simplify]: Extracting #10: cost 46 inf + 61861 544.270 * * [simplify]: Extracting #11: cost 3 inf + 96772 544.307 * * [simplify]: Extracting #12: cost 1 inf + 100062 544.330 * * [simplify]: Extracting #13: cost 0 inf + 101967 544.364 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)))))) 544.364 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 544.365 * * * * [progress]: [ 1822 / 5906 ] simplifiying candidate # 544.365 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 544.365 * * [simplify]: iters left: 6 (52 enodes) 544.379 * * [simplify]: iters left: 5 (255 enodes) 544.469 * * [simplify]: Extracting #0: cost 1 inf + 0 544.469 * * [simplify]: Extracting #1: cost 3 inf + 0 544.469 * * [simplify]: Extracting #2: cost 10 inf + 0 544.469 * * [simplify]: Extracting #3: cost 74 inf + 0 544.470 * * [simplify]: Extracting #4: cost 137 inf + 1 544.471 * * [simplify]: Extracting #5: cost 189 inf + 248 544.473 * * [simplify]: Extracting #6: cost 250 inf + 2526 544.476 * * [simplify]: Extracting #7: cost 217 inf + 7521 544.484 * * [simplify]: Extracting #8: cost 142 inf + 24385 544.494 * * [simplify]: Extracting #9: cost 72 inf + 51562 544.507 * * [simplify]: Extracting #10: cost 34 inf + 77189 544.538 * * [simplify]: Extracting #11: cost 2 inf + 113688 544.563 * * [simplify]: Extracting #12: cost 0 inf + 116858 544.596 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 544.596 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 544.597 * * * * [progress]: [ 1823 / 5906 ] simplifiying candidate # 544.597 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 544.597 * * [simplify]: iters left: 6 (47 enodes) 544.609 * * [simplify]: iters left: 5 (227 enodes) 544.669 * * [simplify]: Extracting #0: cost 1 inf + 0 544.669 * * [simplify]: Extracting #1: cost 3 inf + 0 544.669 * * [simplify]: Extracting #2: cost 10 inf + 0 544.670 * * [simplify]: Extracting #3: cost 66 inf + 0 544.670 * * [simplify]: Extracting #4: cost 117 inf + 44 544.670 * * [simplify]: Extracting #5: cost 152 inf + 1228 544.671 * * [simplify]: Extracting #6: cost 216 inf + 2932 544.673 * * [simplify]: Extracting #7: cost 205 inf + 4925 544.675 * * [simplify]: Extracting #8: cost 164 inf + 11572 544.681 * * [simplify]: Extracting #9: cost 103 inf + 34064 544.691 * * [simplify]: Extracting #10: cost 45 inf + 57198 544.707 * * [simplify]: Extracting #11: cost 20 inf + 75557 544.726 * * [simplify]: Extracting #12: cost 3 inf + 92542 544.750 * * [simplify]: Extracting #13: cost 1 inf + 96152 544.789 * * [simplify]: Extracting #14: cost 0 inf + 97977 544.827 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) 544.827 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 544.828 * * * * [progress]: [ 1824 / 5906 ] simplifiying candidate # 544.829 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 544.829 * * [simplify]: iters left: 6 (52 enodes) 544.855 * * [simplify]: iters left: 5 (255 enodes) 544.932 * * [simplify]: Extracting #0: cost 1 inf + 0 544.932 * * [simplify]: Extracting #1: cost 3 inf + 0 544.932 * * [simplify]: Extracting #2: cost 10 inf + 0 544.932 * * [simplify]: Extracting #3: cost 74 inf + 0 544.933 * * [simplify]: Extracting #4: cost 137 inf + 1 544.934 * * [simplify]: Extracting #5: cost 189 inf + 248 544.935 * * [simplify]: Extracting #6: cost 253 inf + 1679 544.939 * * [simplify]: Extracting #7: cost 222 inf + 6231 544.946 * * [simplify]: Extracting #8: cost 140 inf + 25475 544.962 * * [simplify]: Extracting #9: cost 69 inf + 53957 544.980 * * [simplify]: Extracting #10: cost 9 inf + 107294 545.003 * * [simplify]: Extracting #11: cost 1 inf + 115793 545.028 * * [simplify]: Extracting #12: cost 0 inf + 117818 545.052 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 545.052 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 545.053 * * * * [progress]: [ 1825 / 5906 ] simplifiying candidate # 545.053 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 545.053 * * [simplify]: iters left: 6 (47 enodes) 545.065 * * [simplify]: iters left: 5 (227 enodes) 545.136 * * [simplify]: Extracting #0: cost 1 inf + 0 545.136 * * [simplify]: Extracting #1: cost 3 inf + 0 545.136 * * [simplify]: Extracting #2: cost 10 inf + 0 545.136 * * [simplify]: Extracting #3: cost 65 inf + 0 545.137 * * [simplify]: Extracting #4: cost 116 inf + 86 545.137 * * [simplify]: Extracting #5: cost 149 inf + 1674 545.138 * * [simplify]: Extracting #6: cost 216 inf + 2932 545.140 * * [simplify]: Extracting #7: cost 206 inf + 4683 545.142 * * [simplify]: Extracting #8: cost 162 inf + 11816 545.147 * * [simplify]: Extracting #9: cost 116 inf + 26802 545.157 * * [simplify]: Extracting #10: cost 51 inf + 53095 545.170 * * [simplify]: Extracting #11: cost 20 inf + 75957 545.189 * * [simplify]: Extracting #12: cost 3 inf + 92942 545.208 * * [simplify]: Extracting #13: cost 1 inf + 96552 545.249 * * [simplify]: Extracting #14: cost 0 inf + 98377 545.274 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) 545.274 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 545.274 * * * * [progress]: [ 1826 / 5906 ] simplifiying candidate # 545.275 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 545.275 * * [simplify]: iters left: 6 (48 enodes) 545.289 * * [simplify]: iters left: 5 (228 enodes) 545.382 * * [simplify]: Extracting #0: cost 1 inf + 0 545.382 * * [simplify]: Extracting #1: cost 3 inf + 0 545.383 * * [simplify]: Extracting #2: cost 6 inf + 0 545.383 * * [simplify]: Extracting #3: cost 48 inf + 0 545.383 * * [simplify]: Extracting #4: cost 112 inf + 0 545.384 * * [simplify]: Extracting #5: cost 178 inf + 0 545.385 * * [simplify]: Extracting #6: cost 240 inf + 298 545.387 * * [simplify]: Extracting #7: cost 209 inf + 4152 545.394 * * [simplify]: Extracting #8: cost 126 inf + 22945 545.410 * * [simplify]: Extracting #9: cost 51 inf + 50050 545.431 * * [simplify]: Extracting #10: cost 1 inf + 95741 545.455 * * [simplify]: Extracting #11: cost 0 inf + 97486 545.481 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 545.481 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 545.482 * * * * [progress]: [ 1827 / 5906 ] simplifiying candidate # 545.482 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 545.482 * * [simplify]: iters left: 6 (49 enodes) 545.497 * * [simplify]: iters left: 5 (237 enodes) 545.557 * * [simplify]: Extracting #0: cost 1 inf + 0 545.557 * * [simplify]: Extracting #1: cost 3 inf + 0 545.557 * * [simplify]: Extracting #2: cost 6 inf + 0 545.558 * * [simplify]: Extracting #3: cost 52 inf + 0 545.558 * * [simplify]: Extracting #4: cost 135 inf + 0 545.558 * * [simplify]: Extracting #5: cost 191 inf + 85 545.559 * * [simplify]: Extracting #6: cost 212 inf + 5368 545.562 * * [simplify]: Extracting #7: cost 185 inf + 10811 545.566 * * [simplify]: Extracting #8: cost 124 inf + 23972 545.576 * * [simplify]: Extracting #9: cost 49 inf + 53713 545.592 * * [simplify]: Extracting #10: cost 8 inf + 90166 545.611 * * [simplify]: Extracting #11: cost 1 inf + 98158 545.639 * * [simplify]: Extracting #12: cost 0 inf + 100023 545.659 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ phi1 phi2)) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ phi1 phi2)) (- phi1 phi2)))))) 545.659 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ phi1 phi2)) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ phi1 phi2)) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 545.660 * * * * [progress]: [ 1828 / 5906 ] simplifiying candidate # 545.660 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 545.660 * * [simplify]: iters left: 6 (49 enodes) 545.673 * * [simplify]: iters left: 5 (237 enodes) 545.729 * * [simplify]: Extracting #0: cost 1 inf + 0 545.729 * * [simplify]: Extracting #1: cost 3 inf + 0 545.729 * * [simplify]: Extracting #2: cost 6 inf + 0 545.729 * * [simplify]: Extracting #3: cost 54 inf + 0 545.729 * * [simplify]: Extracting #4: cost 133 inf + 0 545.730 * * [simplify]: Extracting #5: cost 185 inf + 288 545.731 * * [simplify]: Extracting #6: cost 202 inf + 6256 545.734 * * [simplify]: Extracting #7: cost 184 inf + 10605 545.740 * * [simplify]: Extracting #8: cost 143 inf + 16850 545.751 * * [simplify]: Extracting #9: cost 80 inf + 41312 545.770 * * [simplify]: Extracting #10: cost 45 inf + 55010 545.800 * * [simplify]: Extracting #11: cost 9 inf + 86150 545.833 * * [simplify]: Extracting #12: cost 0 inf + 96455 545.852 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))))))) 545.852 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 545.852 * * * * [progress]: [ 1829 / 5906 ] simplifiying candidate # 545.853 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 545.853 * * [simplify]: iters left: 6 (43 enodes) 545.867 * * [simplify]: iters left: 5 (200 enodes) 545.918 * * [simplify]: iters left: 4 (499 enodes) 546.109 * * [simplify]: Extracting #0: cost 1 inf + 0 546.109 * * [simplify]: Extracting #1: cost 3 inf + 0 546.109 * * [simplify]: Extracting #2: cost 16 inf + 0 546.110 * * [simplify]: Extracting #3: cost 155 inf + 0 546.112 * * [simplify]: Extracting #4: cost 339 inf + 291 546.116 * * [simplify]: Extracting #5: cost 379 inf + 5290 546.123 * * [simplify]: Extracting #6: cost 480 inf + 10596 546.133 * * [simplify]: Extracting #7: cost 543 inf + 16638 546.162 * * [simplify]: Extracting #8: cost 309 inf + 114049 546.246 * * [simplify]: Extracting #9: cost 31 inf + 257222 546.327 * * [simplify]: Extracting #10: cost 6 inf + 264768 546.412 * * [simplify]: Extracting #11: cost 0 inf + 266451 546.495 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) 546.495 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 546.495 * * * * [progress]: [ 1830 / 5906 ] simplifiying candidate # 546.496 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 546.496 * * [simplify]: iters left: 6 (48 enodes) 546.508 * * [simplify]: iters left: 5 (228 enodes) 546.561 * * [simplify]: Extracting #0: cost 1 inf + 0 546.561 * * [simplify]: Extracting #1: cost 3 inf + 0 546.562 * * [simplify]: Extracting #2: cost 10 inf + 0 546.562 * * [simplify]: Extracting #3: cost 62 inf + 0 546.562 * * [simplify]: Extracting #4: cost 115 inf + 42 546.562 * * [simplify]: Extracting #5: cost 155 inf + 207 546.563 * * [simplify]: Extracting #6: cost 199 inf + 2323 546.565 * * [simplify]: Extracting #7: cost 178 inf + 6296 546.568 * * [simplify]: Extracting #8: cost 106 inf + 24919 546.578 * * [simplify]: Extracting #9: cost 35 inf + 54283 546.602 * * [simplify]: Extracting #10: cost 3 inf + 84935 546.629 * * [simplify]: Extracting #11: cost 0 inf + 89490 546.650 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 546.650 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 546.651 * * * * [progress]: [ 1831 / 5906 ] simplifiying candidate # 546.651 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 546.651 * * [simplify]: iters left: 6 (43 enodes) 546.662 * * [simplify]: iters left: 5 (200 enodes) 546.704 * * [simplify]: iters left: 4 (480 enodes) 546.901 * * [simplify]: Extracting #0: cost 1 inf + 0 546.901 * * [simplify]: Extracting #1: cost 3 inf + 0 546.901 * * [simplify]: Extracting #2: cost 12 inf + 0 546.901 * * [simplify]: Extracting #3: cost 109 inf + 0 546.902 * * [simplify]: Extracting #4: cost 242 inf + 44 546.904 * * [simplify]: Extracting #5: cost 337 inf + 2123 546.907 * * [simplify]: Extracting #6: cost 431 inf + 6754 546.913 * * [simplify]: Extracting #7: cost 467 inf + 22841 546.937 * * [simplify]: Extracting #8: cost 270 inf + 90921 546.973 * * [simplify]: Extracting #9: cost 87 inf + 164155 547.040 * * [simplify]: Extracting #10: cost 21 inf + 205051 547.097 * * [simplify]: Extracting #11: cost 1 inf + 218126 547.166 * * [simplify]: Extracting #12: cost 0 inf + 219671 547.239 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 547.239 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 547.239 * * * * [progress]: [ 1832 / 5906 ] simplifiying candidate # 547.239 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 547.240 * * [simplify]: iters left: 6 (48 enodes) 547.252 * * [simplify]: iters left: 5 (228 enodes) 547.306 * * [simplify]: Extracting #0: cost 1 inf + 0 547.306 * * [simplify]: Extracting #1: cost 3 inf + 0 547.306 * * [simplify]: Extracting #2: cost 10 inf + 0 547.307 * * [simplify]: Extracting #3: cost 62 inf + 0 547.307 * * [simplify]: Extracting #4: cost 115 inf + 42 547.308 * * [simplify]: Extracting #5: cost 154 inf + 249 547.309 * * [simplify]: Extracting #6: cost 201 inf + 2322 547.313 * * [simplify]: Extracting #7: cost 179 inf + 6733 547.317 * * [simplify]: Extracting #8: cost 133 inf + 15937 547.325 * * [simplify]: Extracting #9: cost 78 inf + 37519 547.334 * * [simplify]: Extracting #10: cost 28 inf + 59470 547.350 * * [simplify]: Extracting #11: cost 3 inf + 85735 547.367 * * [simplify]: Extracting #12: cost 0 inf + 90290 547.388 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 547.388 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 547.389 * * * * [progress]: [ 1833 / 5906 ] simplifiying candidate # 547.389 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 547.389 * * [simplify]: iters left: 6 (43 enodes) 547.400 * * [simplify]: iters left: 5 (200 enodes) 547.455 * * [simplify]: iters left: 4 (480 enodes) 547.654 * * [simplify]: Extracting #0: cost 1 inf + 0 547.654 * * [simplify]: Extracting #1: cost 3 inf + 0 547.654 * * [simplify]: Extracting #2: cost 12 inf + 0 547.654 * * [simplify]: Extracting #3: cost 106 inf + 0 547.655 * * [simplify]: Extracting #4: cost 250 inf + 44 547.656 * * [simplify]: Extracting #5: cost 339 inf + 2771 547.659 * * [simplify]: Extracting #6: cost 438 inf + 6471 547.666 * * [simplify]: Extracting #7: cost 502 inf + 10982 547.689 * * [simplify]: Extracting #8: cost 335 inf + 62504 547.729 * * [simplify]: Extracting #9: cost 79 inf + 173412 547.792 * * [simplify]: Extracting #10: cost 6 inf + 218494 547.849 * * [simplify]: Extracting #11: cost 0 inf + 221889 547.900 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))))) 547.900 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 547.901 * * * * [progress]: [ 1834 / 5906 ] simplifiying candidate # 547.901 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 547.902 * * [simplify]: iters left: 6 (48 enodes) 547.927 * * [simplify]: iters left: 5 (231 enodes) 548.012 * * [simplify]: Extracting #0: cost 1 inf + 0 548.012 * * [simplify]: Extracting #1: cost 3 inf + 0 548.012 * * [simplify]: Extracting #2: cost 6 inf + 0 548.012 * * [simplify]: Extracting #3: cost 54 inf + 0 548.012 * * [simplify]: Extracting #4: cost 120 inf + 0 548.013 * * [simplify]: Extracting #5: cost 186 inf + 0 548.013 * * [simplify]: Extracting #6: cost 249 inf + 86 548.015 * * [simplify]: Extracting #7: cost 212 inf + 4479 548.018 * * [simplify]: Extracting #8: cost 159 inf + 14047 548.026 * * [simplify]: Extracting #9: cost 88 inf + 37630 548.041 * * [simplify]: Extracting #10: cost 33 inf + 68415 548.065 * * [simplify]: Extracting #11: cost 2 inf + 100630 548.090 * * [simplify]: Extracting #12: cost 0 inf + 104160 548.112 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) 548.112 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 548.112 * * * * [progress]: [ 1835 / 5906 ] simplifiying candidate # 548.113 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 548.113 * * [simplify]: iters left: 6 (49 enodes) 548.126 * * [simplify]: iters left: 5 (240 enodes) 548.193 * * [simplify]: Extracting #0: cost 1 inf + 0 548.193 * * [simplify]: Extracting #1: cost 3 inf + 0 548.194 * * [simplify]: Extracting #2: cost 6 inf + 0 548.194 * * [simplify]: Extracting #3: cost 58 inf + 0 548.194 * * [simplify]: Extracting #4: cost 143 inf + 0 548.195 * * [simplify]: Extracting #5: cost 198 inf + 126 548.196 * * [simplify]: Extracting #6: cost 210 inf + 7745 548.199 * * [simplify]: Extracting #7: cost 185 inf + 12958 548.203 * * [simplify]: Extracting #8: cost 125 inf + 24983 548.211 * * [simplify]: Extracting #9: cost 68 inf + 47763 548.241 * * [simplify]: Extracting #10: cost 10 inf + 96710 548.281 * * [simplify]: Extracting #11: cost 0 inf + 107017 548.315 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) 548.315 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 548.316 * * * * [progress]: [ 1836 / 5906 ] simplifiying candidate # 548.316 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 548.317 * * [simplify]: iters left: 6 (49 enodes) 548.329 * * [simplify]: iters left: 5 (240 enodes) 548.391 * * [simplify]: Extracting #0: cost 1 inf + 0 548.391 * * [simplify]: Extracting #1: cost 3 inf + 0 548.391 * * [simplify]: Extracting #2: cost 6 inf + 0 548.391 * * [simplify]: Extracting #3: cost 60 inf + 0 548.391 * * [simplify]: Extracting #4: cost 141 inf + 0 548.392 * * [simplify]: Extracting #5: cost 193 inf + 208 548.394 * * [simplify]: Extracting #6: cost 214 inf + 5729 548.396 * * [simplify]: Extracting #7: cost 190 inf + 10898 548.399 * * [simplify]: Extracting #8: cost 129 inf + 24410 548.408 * * [simplify]: Extracting #9: cost 54 inf + 56081 548.428 * * [simplify]: Extracting #10: cost 6 inf + 95840 548.466 * * [simplify]: Extracting #11: cost 0 inf + 103089 548.502 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))))))) 548.502 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 548.502 * * * * [progress]: [ 1837 / 5906 ] simplifiying candidate # 548.503 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 548.503 * * [simplify]: iters left: 6 (43 enodes) 548.513 * * [simplify]: iters left: 5 (204 enodes) 548.556 * * [simplify]: Extracting #0: cost 1 inf + 0 548.557 * * [simplify]: Extracting #1: cost 3 inf + 0 548.557 * * [simplify]: Extracting #2: cost 6 inf + 0 548.557 * * [simplify]: Extracting #3: cost 52 inf + 0 548.557 * * [simplify]: Extracting #4: cost 109 inf + 0 548.557 * * [simplify]: Extracting #5: cost 140 inf + 249 548.558 * * [simplify]: Extracting #6: cost 186 inf + 1558 548.560 * * [simplify]: Extracting #7: cost 168 inf + 4765 548.563 * * [simplify]: Extracting #8: cost 141 inf + 8865 548.571 * * [simplify]: Extracting #9: cost 79 inf + 31936 548.581 * * [simplify]: Extracting #10: cost 28 inf + 55985 548.596 * * [simplify]: Extracting #11: cost 2 inf + 79218 548.613 * * [simplify]: Extracting #12: cost 0 inf + 82388 548.629 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ phi1 phi2))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))) 548.629 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ phi1 phi2))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 548.630 * * * * [progress]: [ 1838 / 5906 ] simplifiying candidate # 548.630 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 548.630 * * [simplify]: iters left: 6 (48 enodes) 548.642 * * [simplify]: iters left: 5 (232 enodes) 548.688 * * [simplify]: Extracting #0: cost 1 inf + 0 548.688 * * [simplify]: Extracting #1: cost 3 inf + 0 548.688 * * [simplify]: Extracting #2: cost 10 inf + 0 548.688 * * [simplify]: Extracting #3: cost 72 inf + 0 548.688 * * [simplify]: Extracting #4: cost 126 inf + 42 548.689 * * [simplify]: Extracting #5: cost 166 inf + 207 548.690 * * [simplify]: Extracting #6: cost 210 inf + 2162 548.691 * * [simplify]: Extracting #7: cost 190 inf + 6233 548.693 * * [simplify]: Extracting #8: cost 149 inf + 13770 548.698 * * [simplify]: Extracting #9: cost 92 inf + 35406 548.706 * * [simplify]: Extracting #10: cost 49 inf + 52334 548.716 * * [simplify]: Extracting #11: cost 32 inf + 64119 548.734 * * [simplify]: Extracting #12: cost 5 inf + 91034 548.759 * * [simplify]: Extracting #13: cost 0 inf + 98159 548.787 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 548.788 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 548.788 * * * * [progress]: [ 1839 / 5906 ] simplifiying candidate # 548.788 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 548.789 * * [simplify]: iters left: 6 (43 enodes) 548.801 * * [simplify]: iters left: 5 (204 enodes) 548.845 * * [simplify]: Extracting #0: cost 1 inf + 0 548.845 * * [simplify]: Extracting #1: cost 3 inf + 0 548.845 * * [simplify]: Extracting #2: cost 10 inf + 0 548.845 * * [simplify]: Extracting #3: cost 64 inf + 0 548.846 * * [simplify]: Extracting #4: cost 106 inf + 86 548.846 * * [simplify]: Extracting #5: cost 128 inf + 1148 548.847 * * [simplify]: Extracting #6: cost 176 inf + 2932 548.848 * * [simplify]: Extracting #7: cost 170 inf + 4358 548.851 * * [simplify]: Extracting #8: cost 109 inf + 19788 548.860 * * [simplify]: Extracting #9: cost 42 inf + 50855 548.877 * * [simplify]: Extracting #10: cost 7 inf + 74424 548.898 * * [simplify]: Extracting #11: cost 0 inf + 79238 548.914 * * [simplify]: Extracting #12: cost 0 inf + 79158 548.936 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 548.936 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 548.936 * * * * [progress]: [ 1840 / 5906 ] simplifiying candidate # 548.937 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 548.937 * * [simplify]: iters left: 6 (48 enodes) 548.952 * * [simplify]: iters left: 5 (232 enodes) 549.004 * * [simplify]: Extracting #0: cost 1 inf + 0 549.004 * * [simplify]: Extracting #1: cost 3 inf + 0 549.004 * * [simplify]: Extracting #2: cost 10 inf + 0 549.004 * * [simplify]: Extracting #3: cost 72 inf + 0 549.005 * * [simplify]: Extracting #4: cost 126 inf + 42 549.005 * * [simplify]: Extracting #5: cost 165 inf + 249 549.006 * * [simplify]: Extracting #6: cost 210 inf + 2404 549.008 * * [simplify]: Extracting #7: cost 191 inf + 6011 549.010 * * [simplify]: Extracting #8: cost 151 inf + 13095 549.015 * * [simplify]: Extracting #9: cost 93 inf + 35141 549.025 * * [simplify]: Extracting #10: cost 49 inf + 53134 549.035 * * [simplify]: Extracting #11: cost 33 inf + 64094 549.053 * * [simplify]: Extracting #12: cost 5 inf + 91834 549.074 * * [simplify]: Extracting #13: cost 0 inf + 98959 549.093 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 549.093 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 549.094 * * * * [progress]: [ 1841 / 5906 ] simplifiying candidate # 549.094 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 549.095 * * [simplify]: iters left: 6 (43 enodes) 549.105 * * [simplify]: iters left: 5 (204 enodes) 549.145 * * [simplify]: Extracting #0: cost 1 inf + 0 549.145 * * [simplify]: Extracting #1: cost 3 inf + 0 549.145 * * [simplify]: Extracting #2: cost 10 inf + 0 549.145 * * [simplify]: Extracting #3: cost 63 inf + 0 549.146 * * [simplify]: Extracting #4: cost 107 inf + 44 549.146 * * [simplify]: Extracting #5: cost 130 inf + 1025 549.147 * * [simplify]: Extracting #6: cost 176 inf + 2932 549.148 * * [simplify]: Extracting #7: cost 168 inf + 4721 549.151 * * [simplify]: Extracting #8: cost 107 inf + 20977 549.161 * * [simplify]: Extracting #9: cost 39 inf + 52930 549.175 * * [simplify]: Extracting #10: cost 7 inf + 73944 549.191 * * [simplify]: Extracting #11: cost 0 inf + 79398 549.219 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (- phi1 phi2))) (- phi1 phi2))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 549.220 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (- phi1 phi2))) (- phi1 phi2))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 549.220 * * * * [progress]: [ 1842 / 5906 ] simplifiying candidate # 549.221 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 549.222 * * [simplify]: iters left: 6 (51 enodes) 549.246 * * [simplify]: iters left: 5 (244 enodes) 549.313 * * [simplify]: Extracting #0: cost 1 inf + 0 549.313 * * [simplify]: Extracting #1: cost 3 inf + 0 549.313 * * [simplify]: Extracting #2: cost 6 inf + 0 549.313 * * [simplify]: Extracting #3: cost 56 inf + 0 549.314 * * [simplify]: Extracting #4: cost 130 inf + 0 549.314 * * [simplify]: Extracting #5: cost 200 inf + 0 549.315 * * [simplify]: Extracting #6: cost 256 inf + 822 549.317 * * [simplify]: Extracting #7: cost 195 inf + 10268 549.321 * * [simplify]: Extracting #8: cost 130 inf + 28747 549.331 * * [simplify]: Extracting #9: cost 54 inf + 59303 549.342 * * [simplify]: Extracting #10: cost 36 inf + 72193 549.361 * * [simplify]: Extracting #11: cost 5 inf + 108088 549.385 * * [simplify]: Extracting #12: cost 1 inf + 114428 549.418 * * [simplify]: Extracting #13: cost 0 inf + 116453 549.446 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 549.446 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 549.447 * * * * [progress]: [ 1843 / 5906 ] simplifiying candidate # 549.447 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 549.448 * * [simplify]: iters left: 6 (52 enodes) 549.466 * * [simplify]: iters left: 5 (253 enodes) 549.544 * * [simplify]: Extracting #0: cost 1 inf + 0 549.545 * * [simplify]: Extracting #1: cost 3 inf + 0 549.545 * * [simplify]: Extracting #2: cost 6 inf + 0 549.545 * * [simplify]: Extracting #3: cost 60 inf + 0 549.545 * * [simplify]: Extracting #4: cost 153 inf + 0 549.546 * * [simplify]: Extracting #5: cost 214 inf + 44 549.547 * * [simplify]: Extracting #6: cost 242 inf + 3395 549.550 * * [simplify]: Extracting #7: cost 176 inf + 16858 549.556 * * [simplify]: Extracting #8: cost 136 inf + 32489 549.568 * * [simplify]: Extracting #9: cost 96 inf + 50126 549.578 * * [simplify]: Extracting #10: cost 51 inf + 65755 549.595 * * [simplify]: Extracting #11: cost 14 inf + 100480 549.617 * * [simplify]: Extracting #12: cost 1 inf + 116925 549.644 * * [simplify]: Extracting #13: cost 0 inf + 118990 549.685 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) 549.685 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 549.686 * * * * [progress]: [ 1844 / 5906 ] simplifiying candidate # 549.686 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 549.687 * * [simplify]: iters left: 6 (52 enodes) 549.711 * * [simplify]: iters left: 5 (253 enodes) 549.794 * * [simplify]: Extracting #0: cost 1 inf + 0 549.794 * * [simplify]: Extracting #1: cost 3 inf + 0 549.794 * * [simplify]: Extracting #2: cost 6 inf + 0 549.794 * * [simplify]: Extracting #3: cost 62 inf + 0 549.794 * * [simplify]: Extracting #4: cost 151 inf + 0 549.795 * * [simplify]: Extracting #5: cost 210 inf + 44 549.798 * * [simplify]: Extracting #6: cost 208 inf + 9655 549.805 * * [simplify]: Extracting #7: cost 152 inf + 27503 549.815 * * [simplify]: Extracting #8: cost 122 inf + 40380 549.827 * * [simplify]: Extracting #9: cost 88 inf + 50953 549.842 * * [simplify]: Extracting #10: cost 50 inf + 64932 549.870 * * [simplify]: Extracting #11: cost 11 inf + 103427 549.902 * * [simplify]: Extracting #12: cost 1 inf + 114597 549.937 * * [simplify]: Extracting #13: cost 0 inf + 116662 549.970 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 549.970 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 549.971 * * * * [progress]: [ 1845 / 5906 ] simplifiying candidate # 549.971 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 549.972 * * [simplify]: iters left: 6 (46 enodes) 549.989 * * [simplify]: iters left: 5 (217 enodes) 550.041 * * [simplify]: Extracting #0: cost 1 inf + 0 550.041 * * [simplify]: Extracting #1: cost 3 inf + 0 550.041 * * [simplify]: Extracting #2: cost 6 inf + 0 550.041 * * [simplify]: Extracting #3: cost 54 inf + 0 550.041 * * [simplify]: Extracting #4: cost 119 inf + 0 550.041 * * [simplify]: Extracting #5: cost 157 inf + 85 550.042 * * [simplify]: Extracting #6: cost 194 inf + 2451 550.044 * * [simplify]: Extracting #7: cost 169 inf + 6356 550.046 * * [simplify]: Extracting #8: cost 141 inf + 14991 550.052 * * [simplify]: Extracting #9: cost 94 inf + 34201 550.060 * * [simplify]: Extracting #10: cost 48 inf + 50107 550.070 * * [simplify]: Extracting #11: cost 29 inf + 61516 550.087 * * [simplify]: Extracting #12: cost 5 inf + 87036 550.105 * * [simplify]: Extracting #13: cost 0 inf + 94001 550.133 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))))) 550.133 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 550.134 * * * * [progress]: [ 1846 / 5906 ] simplifiying candidate # 550.134 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 550.134 * * [simplify]: iters left: 6 (51 enodes) 550.151 * * [simplify]: iters left: 5 (245 enodes) 550.229 * * [simplify]: Extracting #0: cost 1 inf + 0 550.229 * * [simplify]: Extracting #1: cost 3 inf + 0 550.229 * * [simplify]: Extracting #2: cost 10 inf + 0 550.229 * * [simplify]: Extracting #3: cost 74 inf + 0 550.230 * * [simplify]: Extracting #4: cost 137 inf + 1 550.231 * * [simplify]: Extracting #5: cost 179 inf + 249 550.232 * * [simplify]: Extracting #6: cost 213 inf + 3147 550.237 * * [simplify]: Extracting #7: cost 168 inf + 16346 550.250 * * [simplify]: Extracting #8: cost 97 inf + 42515 550.264 * * [simplify]: Extracting #9: cost 54 inf + 57262 550.282 * * [simplify]: Extracting #10: cost 6 inf + 99342 550.303 * * [simplify]: Extracting #11: cost 1 inf + 106747 550.328 * * [simplify]: Extracting #12: cost 0 inf + 108332 550.353 * * [simplify]: Extracting #13: cost 0 inf + 108292 550.382 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) 550.382 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 550.383 * * * * [progress]: [ 1847 / 5906 ] simplifiying candidate # 550.383 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 550.384 * * [simplify]: iters left: 6 (46 enodes) 550.400 * * [simplify]: iters left: 5 (217 enodes) 550.450 * * [simplify]: Extracting #0: cost 1 inf + 0 550.450 * * [simplify]: Extracting #1: cost 3 inf + 0 550.450 * * [simplify]: Extracting #2: cost 10 inf + 0 550.450 * * [simplify]: Extracting #3: cost 66 inf + 0 550.450 * * [simplify]: Extracting #4: cost 117 inf + 44 550.451 * * [simplify]: Extracting #5: cost 144 inf + 944 550.452 * * [simplify]: Extracting #6: cost 188 inf + 3138 550.453 * * [simplify]: Extracting #7: cost 170 inf + 6471 550.457 * * [simplify]: Extracting #8: cost 130 inf + 20302 550.468 * * [simplify]: Extracting #9: cost 83 inf + 37980 550.486 * * [simplify]: Extracting #10: cost 32 inf + 56811 550.503 * * [simplify]: Extracting #11: cost 12 inf + 75031 550.521 * * [simplify]: Extracting #12: cost 1 inf + 88106 550.545 * * [simplify]: Extracting #13: cost 0 inf + 89891 550.565 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2)))))) 550.565 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 550.566 * * * * [progress]: [ 1848 / 5906 ] simplifiying candidate # 550.566 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 550.566 * * [simplify]: iters left: 6 (51 enodes) 550.579 * * [simplify]: iters left: 5 (245 enodes) 550.639 * * [simplify]: Extracting #0: cost 1 inf + 0 550.639 * * [simplify]: Extracting #1: cost 3 inf + 0 550.639 * * [simplify]: Extracting #2: cost 10 inf + 0 550.640 * * [simplify]: Extracting #3: cost 74 inf + 0 550.640 * * [simplify]: Extracting #4: cost 137 inf + 1 550.641 * * [simplify]: Extracting #5: cost 180 inf + 207 550.643 * * [simplify]: Extracting #6: cost 214 inf + 3307 550.648 * * [simplify]: Extracting #7: cost 165 inf + 17112 550.659 * * [simplify]: Extracting #8: cost 124 inf + 35121 550.669 * * [simplify]: Extracting #9: cost 88 inf + 46743 550.679 * * [simplify]: Extracting #10: cost 44 inf + 66152 550.696 * * [simplify]: Extracting #11: cost 6 inf + 100302 550.734 * * [simplify]: Extracting #12: cost 1 inf + 107707 550.758 * * [simplify]: Extracting #13: cost 0 inf + 109292 550.793 * * [simplify]: Extracting #14: cost 0 inf + 109252 550.830 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 550.830 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 550.831 * * * * [progress]: [ 1849 / 5906 ] simplifiying candidate # 550.832 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 550.832 * * [simplify]: iters left: 6 (46 enodes) 550.853 * * [simplify]: iters left: 5 (217 enodes) 550.919 * * [simplify]: Extracting #0: cost 1 inf + 0 550.919 * * [simplify]: Extracting #1: cost 3 inf + 0 550.919 * * [simplify]: Extracting #2: cost 10 inf + 0 550.920 * * [simplify]: Extracting #3: cost 65 inf + 0 550.920 * * [simplify]: Extracting #4: cost 117 inf + 44 550.920 * * [simplify]: Extracting #5: cost 142 inf + 1228 550.921 * * [simplify]: Extracting #6: cost 189 inf + 3016 550.923 * * [simplify]: Extracting #7: cost 173 inf + 5945 550.926 * * [simplify]: Extracting #8: cost 132 inf + 19454 550.935 * * [simplify]: Extracting #9: cost 81 inf + 38856 550.952 * * [simplify]: Extracting #10: cost 32 inf + 57211 550.967 * * [simplify]: Extracting #11: cost 12 inf + 74871 550.986 * * [simplify]: Extracting #12: cost 1 inf + 87746 551.006 * * [simplify]: Extracting #13: cost 0 inf + 89491 551.024 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2)))))) 551.024 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 551.024 * * * * [progress]: [ 1850 / 5906 ] simplifiying candidate # 551.024 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 551.025 * * [simplify]: iters left: 6 (50 enodes) 551.038 * * [simplify]: iters left: 5 (240 enodes) 551.119 * * [simplify]: Extracting #0: cost 1 inf + 0 551.119 * * [simplify]: Extracting #1: cost 3 inf + 0 551.119 * * [simplify]: Extracting #2: cost 6 inf + 0 551.119 * * [simplify]: Extracting #3: cost 57 inf + 0 551.120 * * [simplify]: Extracting #4: cost 128 inf + 0 551.120 * * [simplify]: Extracting #5: cost 192 inf + 0 551.121 * * [simplify]: Extracting #6: cost 262 inf + 45 551.123 * * [simplify]: Extracting #7: cost 230 inf + 4030 551.129 * * [simplify]: Extracting #8: cost 130 inf + 27336 551.144 * * [simplify]: Extracting #9: cost 46 inf + 67281 551.168 * * [simplify]: Extracting #10: cost 7 inf + 102422 551.200 * * [simplify]: Extracting #11: cost 1 inf + 110052 551.231 * * [simplify]: Extracting #12: cost 0 inf + 111837 551.254 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 551.254 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 551.254 * * * * [progress]: [ 1851 / 5906 ] simplifiying candidate # 551.255 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 551.255 * * [simplify]: iters left: 6 (51 enodes) 551.268 * * [simplify]: iters left: 5 (249 enodes) 551.326 * * [simplify]: Extracting #0: cost 1 inf + 0 551.326 * * [simplify]: Extracting #1: cost 3 inf + 0 551.326 * * [simplify]: Extracting #2: cost 6 inf + 0 551.326 * * [simplify]: Extracting #3: cost 61 inf + 0 551.327 * * [simplify]: Extracting #4: cost 151 inf + 0 551.327 * * [simplify]: Extracting #5: cost 206 inf + 44 551.328 * * [simplify]: Extracting #6: cost 243 inf + 3666 551.331 * * [simplify]: Extracting #7: cost 194 inf + 13335 551.337 * * [simplify]: Extracting #8: cost 118 inf + 36605 551.349 * * [simplify]: Extracting #9: cost 36 inf + 78636 551.369 * * [simplify]: Extracting #10: cost 4 inf + 108994 551.394 * * [simplify]: Extracting #11: cost 0 inf + 114854 551.418 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 551.418 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 551.419 * * * * [progress]: [ 1852 / 5906 ] simplifiying candidate # 551.419 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 551.420 * * [simplify]: iters left: 6 (51 enodes) 551.432 * * [simplify]: iters left: 5 (249 enodes) 551.494 * * [simplify]: Extracting #0: cost 1 inf + 0 551.494 * * [simplify]: Extracting #1: cost 3 inf + 0 551.494 * * [simplify]: Extracting #2: cost 6 inf + 0 551.494 * * [simplify]: Extracting #3: cost 63 inf + 0 551.495 * * [simplify]: Extracting #4: cost 149 inf + 0 551.498 * * [simplify]: Extracting #5: cost 202 inf + 44 551.499 * * [simplify]: Extracting #6: cost 238 inf + 3228 551.501 * * [simplify]: Extracting #7: cost 202 inf + 10269 551.505 * * [simplify]: Extracting #8: cost 155 inf + 21963 551.513 * * [simplify]: Extracting #9: cost 97 inf + 46263 551.537 * * [simplify]: Extracting #10: cost 9 inf + 102263 551.582 * * [simplify]: Extracting #11: cost 0 inf + 112246 551.607 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 551.607 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 551.608 * * * * [progress]: [ 1853 / 5906 ] simplifiying candidate # 551.608 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 551.609 * * [simplify]: iters left: 6 (45 enodes) 551.625 * * [simplify]: iters left: 5 (213 enodes) 551.685 * * [simplify]: Extracting #0: cost 1 inf + 0 551.685 * * [simplify]: Extracting #1: cost 3 inf + 0 551.686 * * [simplify]: Extracting #2: cost 6 inf + 0 551.686 * * [simplify]: Extracting #3: cost 55 inf + 0 551.686 * * [simplify]: Extracting #4: cost 117 inf + 0 551.687 * * [simplify]: Extracting #5: cost 151 inf + 2 551.688 * * [simplify]: Extracting #6: cost 210 inf + 416 551.690 * * [simplify]: Extracting #7: cost 184 inf + 3876 551.694 * * [simplify]: Extracting #8: cost 149 inf + 10435 551.702 * * [simplify]: Extracting #9: cost 104 inf + 27049 551.716 * * [simplify]: Extracting #10: cost 51 inf + 47656 551.742 * * [simplify]: Extracting #11: cost 4 inf + 85725 551.775 * * [simplify]: Extracting #12: cost 0 inf + 89825 551.795 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (- (* phi1 phi1) (* phi2 phi2))))))) 551.795 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 551.795 * * * * [progress]: [ 1854 / 5906 ] simplifiying candidate # 551.796 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 551.796 * * [simplify]: iters left: 6 (50 enodes) 551.810 * * [simplify]: iters left: 5 (241 enodes) 551.880 * * [simplify]: Extracting #0: cost 1 inf + 0 551.880 * * [simplify]: Extracting #1: cost 3 inf + 0 551.880 * * [simplify]: Extracting #2: cost 10 inf + 0 551.881 * * [simplify]: Extracting #3: cost 75 inf + 0 551.881 * * [simplify]: Extracting #4: cost 142 inf + 1 551.882 * * [simplify]: Extracting #5: cost 179 inf + 207 551.884 * * [simplify]: Extracting #6: cost 231 inf + 1919 551.887 * * [simplify]: Extracting #7: cost 205 inf + 6751 551.891 * * [simplify]: Extracting #8: cost 139 inf + 21778 551.900 * * [simplify]: Extracting #9: cost 61 inf + 60422 551.918 * * [simplify]: Extracting #10: cost 8 inf + 100655 551.939 * * [simplify]: Extracting #11: cost 1 inf + 108426 551.963 * * [simplify]: Extracting #12: cost 0 inf + 110211 551.984 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 551.984 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 551.984 * * * * [progress]: [ 1855 / 5906 ] simplifiying candidate # 551.985 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 551.985 * * [simplify]: iters left: 6 (45 enodes) 551.996 * * [simplify]: iters left: 5 (213 enodes) 552.035 * * [simplify]: Extracting #0: cost 1 inf + 0 552.035 * * [simplify]: Extracting #1: cost 3 inf + 0 552.035 * * [simplify]: Extracting #2: cost 10 inf + 0 552.035 * * [simplify]: Extracting #3: cost 67 inf + 0 552.036 * * [simplify]: Extracting #4: cost 121 inf + 86 552.039 * * [simplify]: Extracting #5: cost 132 inf + 2606 552.040 * * [simplify]: Extracting #6: cost 195 inf + 2932 552.041 * * [simplify]: Extracting #7: cost 187 inf + 4800 552.044 * * [simplify]: Extracting #8: cost 134 inf + 18766 552.053 * * [simplify]: Extracting #9: cost 47 inf + 61198 552.071 * * [simplify]: Extracting #10: cost 4 inf + 89317 552.089 * * [simplify]: Extracting #11: cost 0 inf + 90810 552.107 * * [simplify]: Extracting #12: cost 0 inf + 90770 552.125 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) 552.125 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 552.126 * * * * [progress]: [ 1856 / 5906 ] simplifiying candidate # 552.126 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 552.126 * * [simplify]: iters left: 6 (50 enodes) 552.141 * * [simplify]: iters left: 5 (241 enodes) 552.190 * * [simplify]: Extracting #0: cost 1 inf + 0 552.190 * * [simplify]: Extracting #1: cost 3 inf + 0 552.190 * * [simplify]: Extracting #2: cost 10 inf + 0 552.190 * * [simplify]: Extracting #3: cost 75 inf + 0 552.191 * * [simplify]: Extracting #4: cost 142 inf + 1 552.191 * * [simplify]: Extracting #5: cost 179 inf + 207 552.192 * * [simplify]: Extracting #6: cost 230 inf + 2242 552.194 * * [simplify]: Extracting #7: cost 203 inf + 7185 552.197 * * [simplify]: Extracting #8: cost 138 inf + 22401 552.208 * * [simplify]: Extracting #9: cost 62 inf + 59877 552.226 * * [simplify]: Extracting #10: cost 8 inf + 101615 552.247 * * [simplify]: Extracting #11: cost 1 inf + 109546 552.269 * * [simplify]: Extracting #12: cost 0 inf + 111331 552.291 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 552.291 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 552.291 * * * * [progress]: [ 1857 / 5906 ] simplifiying candidate # 552.291 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 552.292 * * [simplify]: iters left: 6 (45 enodes) 552.303 * * [simplify]: iters left: 5 (213 enodes) 552.343 * * [simplify]: Extracting #0: cost 1 inf + 0 552.343 * * [simplify]: Extracting #1: cost 3 inf + 0 552.343 * * [simplify]: Extracting #2: cost 10 inf + 0 552.344 * * [simplify]: Extracting #3: cost 66 inf + 0 552.344 * * [simplify]: Extracting #4: cost 122 inf + 44 552.344 * * [simplify]: Extracting #5: cost 143 inf + 985 552.345 * * [simplify]: Extracting #6: cost 195 inf + 2932 552.346 * * [simplify]: Extracting #7: cost 185 inf + 5123 552.350 * * [simplify]: Extracting #8: cost 132 inf + 19214 552.359 * * [simplify]: Extracting #9: cost 45 inf + 62868 552.376 * * [simplify]: Extracting #10: cost 4 inf + 89677 552.396 * * [simplify]: Extracting #11: cost 0 inf + 91210 552.414 * * [simplify]: Extracting #12: cost 0 inf + 91170 552.432 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) 552.432 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 552.432 * * * * [progress]: [ 1858 / 5906 ] simplifiying candidate # 552.433 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 552.433 * * [simplify]: iters left: 6 (51 enodes) 552.446 * * [simplify]: iters left: 5 (245 enodes) 552.497 * * [simplify]: Extracting #0: cost 1 inf + 0 552.497 * * [simplify]: Extracting #1: cost 3 inf + 0 552.497 * * [simplify]: Extracting #2: cost 6 inf + 0 552.497 * * [simplify]: Extracting #3: cost 56 inf + 0 552.497 * * [simplify]: Extracting #4: cost 130 inf + 0 552.498 * * [simplify]: Extracting #5: cost 200 inf + 0 552.498 * * [simplify]: Extracting #6: cost 257 inf + 993 552.500 * * [simplify]: Extracting #7: cost 190 inf + 13168 552.505 * * [simplify]: Extracting #8: cost 144 inf + 27430 552.512 * * [simplify]: Extracting #9: cost 87 inf + 50552 552.522 * * [simplify]: Extracting #10: cost 48 inf + 65375 552.540 * * [simplify]: Extracting #11: cost 10 inf + 104085 552.565 * * [simplify]: Extracting #12: cost 1 inf + 115030 552.589 * * [simplify]: Extracting #13: cost 0 inf + 117055 552.612 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 552.612 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 552.613 * * * * [progress]: [ 1859 / 5906 ] simplifiying candidate # 552.613 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 552.613 * * [simplify]: iters left: 6 (52 enodes) 552.626 * * [simplify]: iters left: 5 (254 enodes) 552.677 * * [simplify]: Extracting #0: cost 1 inf + 0 552.677 * * [simplify]: Extracting #1: cost 3 inf + 0 552.677 * * [simplify]: Extracting #2: cost 6 inf + 0 552.677 * * [simplify]: Extracting #3: cost 60 inf + 0 552.678 * * [simplify]: Extracting #4: cost 153 inf + 0 552.678 * * [simplify]: Extracting #5: cost 214 inf + 44 552.680 * * [simplify]: Extracting #6: cost 229 inf + 6224 552.683 * * [simplify]: Extracting #7: cost 169 inf + 20591 552.690 * * [simplify]: Extracting #8: cost 125 inf + 40941 552.698 * * [simplify]: Extracting #9: cost 96 inf + 50509 552.708 * * [simplify]: Extracting #10: cost 54 inf + 64522 552.727 * * [simplify]: Extracting #11: cost 14 inf + 101722 552.750 * * [simplify]: Extracting #12: cost 1 inf + 117687 552.774 * * [simplify]: Extracting #13: cost 0 inf + 119312 552.797 * * [simplify]: Extracting #14: cost 0 inf + 119232 552.821 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))))) 552.822 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 552.822 * * * * [progress]: [ 1860 / 5906 ] simplifiying candidate # 552.822 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 552.823 * * [simplify]: iters left: 6 (52 enodes) 552.836 * * [simplify]: iters left: 5 (254 enodes) 552.888 * * [simplify]: Extracting #0: cost 1 inf + 0 552.888 * * [simplify]: Extracting #1: cost 3 inf + 0 552.889 * * [simplify]: Extracting #2: cost 6 inf + 0 552.889 * * [simplify]: Extracting #3: cost 62 inf + 0 552.889 * * [simplify]: Extracting #4: cost 151 inf + 0 552.890 * * [simplify]: Extracting #5: cost 210 inf + 44 552.893 * * [simplify]: Extracting #6: cost 230 inf + 4453 552.896 * * [simplify]: Extracting #7: cost 175 inf + 17901 552.903 * * [simplify]: Extracting #8: cost 125 inf + 40015 552.911 * * [simplify]: Extracting #9: cost 85 inf + 53293 552.927 * * [simplify]: Extracting #10: cost 20 inf + 95804 552.949 * * [simplify]: Extracting #11: cost 1 inf + 116119 552.972 * * [simplify]: Extracting #12: cost 0 inf + 118224 552.995 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 552.995 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 552.996 * * * * [progress]: [ 1861 / 5906 ] simplifiying candidate # 552.996 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 552.996 * * [simplify]: iters left: 6 (46 enodes) 553.008 * * [simplify]: iters left: 5 (218 enodes) 553.048 * * [simplify]: Extracting #0: cost 1 inf + 0 553.048 * * [simplify]: Extracting #1: cost 3 inf + 0 553.048 * * [simplify]: Extracting #2: cost 6 inf + 0 553.048 * * [simplify]: Extracting #3: cost 54 inf + 0 553.049 * * [simplify]: Extracting #4: cost 119 inf + 0 553.049 * * [simplify]: Extracting #5: cost 157 inf + 85 553.050 * * [simplify]: Extracting #6: cost 195 inf + 2491 553.051 * * [simplify]: Extracting #7: cost 168 inf + 7244 553.055 * * [simplify]: Extracting #8: cost 112 inf + 24043 553.065 * * [simplify]: Extracting #9: cost 58 inf + 47096 553.074 * * [simplify]: Extracting #10: cost 33 inf + 59404 553.090 * * [simplify]: Extracting #11: cost 4 inf + 88383 553.107 * * [simplify]: Extracting #12: cost 0 inf + 94283 553.126 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ lambda1 lambda2)))) (* (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) 553.126 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ lambda1 lambda2)))) (* (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 553.126 * * * * [progress]: [ 1862 / 5906 ] simplifiying candidate # 553.126 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 553.127 * * [simplify]: iters left: 6 (51 enodes) 553.139 * * [simplify]: iters left: 5 (246 enodes) 553.188 * * [simplify]: Extracting #0: cost 1 inf + 0 553.188 * * [simplify]: Extracting #1: cost 3 inf + 0 553.188 * * [simplify]: Extracting #2: cost 10 inf + 0 553.188 * * [simplify]: Extracting #3: cost 74 inf + 0 553.188 * * [simplify]: Extracting #4: cost 136 inf + 42 553.189 * * [simplify]: Extracting #5: cost 179 inf + 249 553.190 * * [simplify]: Extracting #6: cost 213 inf + 3109 553.193 * * [simplify]: Extracting #7: cost 163 inf + 17899 553.198 * * [simplify]: Extracting #8: cost 125 inf + 33668 553.204 * * [simplify]: Extracting #9: cost 103 inf + 39732 553.214 * * [simplify]: Extracting #10: cost 56 inf + 56694 553.231 * * [simplify]: Extracting #11: cost 16 inf + 90494 553.251 * * [simplify]: Extracting #12: cost 1 inf + 107189 553.272 * * [simplify]: Extracting #13: cost 0 inf + 108774 553.294 * * [simplify]: Extracting #14: cost 0 inf + 108734 553.315 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))))) 553.315 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 553.315 * * * * [progress]: [ 1863 / 5906 ] simplifiying candidate # 553.316 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 553.316 * * [simplify]: iters left: 6 (46 enodes) 553.328 * * [simplify]: iters left: 5 (218 enodes) 553.367 * * [simplify]: Extracting #0: cost 1 inf + 0 553.367 * * [simplify]: Extracting #1: cost 3 inf + 0 553.367 * * [simplify]: Extracting #2: cost 10 inf + 0 553.367 * * [simplify]: Extracting #3: cost 66 inf + 0 553.368 * * [simplify]: Extracting #4: cost 116 inf + 86 553.368 * * [simplify]: Extracting #5: cost 133 inf + 2566 553.369 * * [simplify]: Extracting #6: cost 189 inf + 3138 553.371 * * [simplify]: Extracting #7: cost 168 inf + 6519 553.375 * * [simplify]: Extracting #8: cost 103 inf + 28374 553.383 * * [simplify]: Extracting #9: cost 51 inf + 49444 553.397 * * [simplify]: Extracting #10: cost 17 inf + 72630 553.414 * * [simplify]: Extracting #11: cost 1 inf + 87868 553.432 * * [simplify]: Extracting #12: cost 0 inf + 89453 553.449 * * [simplify]: Extracting #13: cost 0 inf + 89333 553.466 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) 553.466 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 553.467 * * * * [progress]: [ 1864 / 5906 ] simplifiying candidate # 553.467 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 553.468 * * [simplify]: iters left: 6 (51 enodes) 553.481 * * [simplify]: iters left: 5 (246 enodes) 553.530 * * [simplify]: Extracting #0: cost 1 inf + 0 553.531 * * [simplify]: Extracting #1: cost 3 inf + 0 553.531 * * [simplify]: Extracting #2: cost 10 inf + 0 553.531 * * [simplify]: Extracting #3: cost 74 inf + 0 553.531 * * [simplify]: Extracting #4: cost 137 inf + 1 553.531 * * [simplify]: Extracting #5: cost 180 inf + 207 553.532 * * [simplify]: Extracting #6: cost 216 inf + 2705 553.535 * * [simplify]: Extracting #7: cost 167 inf + 15315 553.540 * * [simplify]: Extracting #8: cost 126 inf + 33784 553.547 * * [simplify]: Extracting #9: cost 95 inf + 43810 553.558 * * [simplify]: Extracting #10: cost 54 inf + 58584 553.573 * * [simplify]: Extracting #11: cost 16 inf + 91454 553.593 * * [simplify]: Extracting #12: cost 1 inf + 108149 553.615 * * [simplify]: Extracting #13: cost 0 inf + 109734 553.636 * * [simplify]: Extracting #14: cost 0 inf + 109694 553.658 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2))))))) 553.658 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 553.659 * * * * [progress]: [ 1865 / 5906 ] simplifiying candidate # 553.659 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 553.659 * * [simplify]: iters left: 6 (46 enodes) 553.671 * * [simplify]: iters left: 5 (218 enodes) 553.711 * * [simplify]: Extracting #0: cost 1 inf + 0 553.711 * * [simplify]: Extracting #1: cost 3 inf + 0 553.711 * * [simplify]: Extracting #2: cost 10 inf + 0 553.711 * * [simplify]: Extracting #3: cost 65 inf + 0 553.711 * * [simplify]: Extracting #4: cost 117 inf + 44 553.712 * * [simplify]: Extracting #5: cost 145 inf + 862 553.713 * * [simplify]: Extracting #6: cost 190 inf + 2976 553.714 * * [simplify]: Extracting #7: cost 171 inf + 6273 553.717 * * [simplify]: Extracting #8: cost 120 inf + 19557 553.726 * * [simplify]: Extracting #9: cost 66 inf + 41332 553.737 * * [simplify]: Extracting #10: cost 18 inf + 72858 553.754 * * [simplify]: Extracting #11: cost 1 inf + 88508 553.771 * * [simplify]: Extracting #12: cost 0 inf + 89893 553.789 * * [simplify]: Extracting #13: cost 0 inf + 89733 553.807 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 553.807 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 553.807 * * * * [progress]: [ 1866 / 5906 ] simplifiying candidate # 553.808 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 553.808 * * [simplify]: iters left: 6 (52 enodes) 553.825 * * [simplify]: iters left: 5 (254 enodes) 553.875 * * [simplify]: Extracting #0: cost 1 inf + 0 553.876 * * [simplify]: Extracting #1: cost 3 inf + 0 553.876 * * [simplify]: Extracting #2: cost 6 inf + 0 553.876 * * [simplify]: Extracting #3: cost 56 inf + 0 553.876 * * [simplify]: Extracting #4: cost 130 inf + 0 553.876 * * [simplify]: Extracting #5: cost 207 inf + 0 553.877 * * [simplify]: Extracting #6: cost 293 inf + 294 553.879 * * [simplify]: Extracting #7: cost 231 inf + 9788 553.884 * * [simplify]: Extracting #8: cost 153 inf + 31120 553.895 * * [simplify]: Extracting #9: cost 92 inf + 55717 553.907 * * [simplify]: Extracting #10: cost 48 inf + 72103 553.926 * * [simplify]: Extracting #11: cost 8 inf + 113823 553.950 * * [simplify]: Extracting #12: cost 0 inf + 124823 553.975 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) 553.975 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 553.975 * * * * [progress]: [ 1867 / 5906 ] simplifiying candidate # 553.976 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 553.976 * * [simplify]: iters left: 6 (53 enodes) 553.990 * * [simplify]: iters left: 5 (263 enodes) 554.043 * * [simplify]: Extracting #0: cost 1 inf + 0 554.043 * * [simplify]: Extracting #1: cost 3 inf + 0 554.043 * * [simplify]: Extracting #2: cost 6 inf + 0 554.043 * * [simplify]: Extracting #3: cost 60 inf + 0 554.044 * * [simplify]: Extracting #4: cost 153 inf + 0 554.044 * * [simplify]: Extracting #5: cost 221 inf + 44 554.046 * * [simplify]: Extracting #6: cost 266 inf + 5130 554.051 * * [simplify]: Extracting #7: cost 223 inf + 13270 554.056 * * [simplify]: Extracting #8: cost 154 inf + 30570 554.065 * * [simplify]: Extracting #9: cost 91 inf + 60196 554.078 * * [simplify]: Extracting #10: cost 45 inf + 76835 554.097 * * [simplify]: Extracting #11: cost 14 inf + 108530 554.121 * * [simplify]: Extracting #12: cost 0 inf + 126240 554.147 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 554.147 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 554.147 * * * * [progress]: [ 1868 / 5906 ] simplifiying candidate # 554.148 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 554.148 * * [simplify]: iters left: 6 (53 enodes) 554.162 * * [simplify]: iters left: 5 (263 enodes) 554.217 * * [simplify]: Extracting #0: cost 1 inf + 0 554.217 * * [simplify]: Extracting #1: cost 3 inf + 0 554.217 * * [simplify]: Extracting #2: cost 6 inf + 0 554.217 * * [simplify]: Extracting #3: cost 62 inf + 0 554.217 * * [simplify]: Extracting #4: cost 151 inf + 0 554.218 * * [simplify]: Extracting #5: cost 216 inf + 86 554.219 * * [simplify]: Extracting #6: cost 263 inf + 4608 554.222 * * [simplify]: Extracting #7: cost 212 inf + 14768 554.227 * * [simplify]: Extracting #8: cost 159 inf + 29035 554.236 * * [simplify]: Extracting #9: cost 94 inf + 57597 554.248 * * [simplify]: Extracting #10: cost 52 inf + 72492 554.267 * * [simplify]: Extracting #11: cost 13 inf + 110787 554.291 * * [simplify]: Extracting #12: cost 0 inf + 126512 554.316 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 554.316 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 554.317 * * * * [progress]: [ 1869 / 5906 ] simplifiying candidate # 554.317 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 554.318 * * [simplify]: iters left: 6 (47 enodes) 554.329 * * [simplify]: iters left: 5 (227 enodes) 554.377 * * [simplify]: Extracting #0: cost 1 inf + 0 554.377 * * [simplify]: Extracting #1: cost 3 inf + 0 554.377 * * [simplify]: Extracting #2: cost 6 inf + 0 554.377 * * [simplify]: Extracting #3: cost 54 inf + 0 554.377 * * [simplify]: Extracting #4: cost 119 inf + 0 554.377 * * [simplify]: Extracting #5: cost 165 inf + 44 554.378 * * [simplify]: Extracting #6: cost 231 inf + 1442 554.380 * * [simplify]: Extracting #7: cost 190 inf + 9102 554.385 * * [simplify]: Extracting #8: cost 112 inf + 32968 554.395 * * [simplify]: Extracting #9: cost 55 inf + 56940 554.411 * * [simplify]: Extracting #10: cost 8 inf + 92597 554.431 * * [simplify]: Extracting #11: cost 1 inf + 99306 554.452 * * [simplify]: Extracting #12: cost 0 inf + 101131 554.473 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (+ phi1 phi2) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ phi1 phi2))))) 554.473 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (+ phi1 phi2) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 554.474 * * * * [progress]: [ 1870 / 5906 ] simplifiying candidate # 554.474 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 554.474 * * [simplify]: iters left: 6 (52 enodes) 554.487 * * [simplify]: iters left: 5 (255 enodes) 554.537 * * [simplify]: Extracting #0: cost 1 inf + 0 554.537 * * [simplify]: Extracting #1: cost 3 inf + 0 554.537 * * [simplify]: Extracting #2: cost 10 inf + 0 554.538 * * [simplify]: Extracting #3: cost 74 inf + 0 554.538 * * [simplify]: Extracting #4: cost 137 inf + 1 554.538 * * [simplify]: Extracting #5: cost 186 inf + 248 554.541 * * [simplify]: Extracting #6: cost 252 inf + 2336 554.544 * * [simplify]: Extracting #7: cost 192 inf + 15837 554.550 * * [simplify]: Extracting #8: cost 138 inf + 34163 554.559 * * [simplify]: Extracting #9: cost 91 inf + 52938 554.571 * * [simplify]: Extracting #10: cost 36 inf + 76962 554.590 * * [simplify]: Extracting #11: cost 7 inf + 106247 554.613 * * [simplify]: Extracting #12: cost 0 inf + 116302 554.637 * * [simplify]: Extracting #13: cost 0 inf + 116262 554.660 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 554.660 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 554.661 * * * * [progress]: [ 1871 / 5906 ] simplifiying candidate # 554.661 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 554.662 * * [simplify]: iters left: 6 (47 enodes) 554.673 * * [simplify]: iters left: 5 (227 enodes) 554.719 * * [simplify]: Extracting #0: cost 1 inf + 0 554.719 * * [simplify]: Extracting #1: cost 3 inf + 0 554.719 * * [simplify]: Extracting #2: cost 10 inf + 0 554.719 * * [simplify]: Extracting #3: cost 66 inf + 0 554.720 * * [simplify]: Extracting #4: cost 117 inf + 44 554.720 * * [simplify]: Extracting #5: cost 147 inf + 1592 554.721 * * [simplify]: Extracting #6: cost 220 inf + 3059 554.723 * * [simplify]: Extracting #7: cost 179 inf + 11404 554.728 * * [simplify]: Extracting #8: cost 129 inf + 30055 554.737 * * [simplify]: Extracting #9: cost 93 inf + 43597 554.747 * * [simplify]: Extracting #10: cost 39 inf + 62434 554.763 * * [simplify]: Extracting #11: cost 4 inf + 90761 554.781 * * [simplify]: Extracting #12: cost 1 inf + 95196 554.800 * * [simplify]: Extracting #13: cost 0 inf + 96981 554.821 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) 554.821 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 554.822 * * * * [progress]: [ 1872 / 5906 ] simplifiying candidate # 554.822 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 554.822 * * [simplify]: iters left: 6 (52 enodes) 554.835 * * [simplify]: iters left: 5 (255 enodes) 554.887 * * [simplify]: Extracting #0: cost 1 inf + 0 554.887 * * [simplify]: Extracting #1: cost 3 inf + 0 554.887 * * [simplify]: Extracting #2: cost 10 inf + 0 554.888 * * [simplify]: Extracting #3: cost 74 inf + 0 554.888 * * [simplify]: Extracting #4: cost 137 inf + 1 554.888 * * [simplify]: Extracting #5: cost 186 inf + 248 554.889 * * [simplify]: Extracting #6: cost 255 inf + 2011 554.892 * * [simplify]: Extracting #7: cost 193 inf + 16077 554.898 * * [simplify]: Extracting #8: cost 134 inf + 36435 554.907 * * [simplify]: Extracting #9: cost 89 inf + 54668 554.918 * * [simplify]: Extracting #10: cost 50 inf + 68852 554.937 * * [simplify]: Extracting #11: cost 7 inf + 107207 554.960 * * [simplify]: Extracting #12: cost 0 inf + 117262 554.986 * * [simplify]: Extracting #13: cost 0 inf + 117222 555.009 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 555.009 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 555.010 * * * * [progress]: [ 1873 / 5906 ] simplifiying candidate # 555.010 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 555.010 * * [simplify]: iters left: 6 (47 enodes) 555.023 * * [simplify]: iters left: 5 (227 enodes) 555.070 * * [simplify]: Extracting #0: cost 1 inf + 0 555.070 * * [simplify]: Extracting #1: cost 3 inf + 0 555.070 * * [simplify]: Extracting #2: cost 10 inf + 0 555.070 * * [simplify]: Extracting #3: cost 65 inf + 0 555.070 * * [simplify]: Extracting #4: cost 117 inf + 44 555.070 * * [simplify]: Extracting #5: cost 154 inf + 659 555.071 * * [simplify]: Extracting #6: cost 222 inf + 2735 555.073 * * [simplify]: Extracting #7: cost 181 inf + 11160 555.078 * * [simplify]: Extracting #8: cost 128 inf + 29335 555.085 * * [simplify]: Extracting #9: cost 96 inf + 42802 555.095 * * [simplify]: Extracting #10: cost 41 inf + 61784 555.111 * * [simplify]: Extracting #11: cost 2 inf + 93811 555.130 * * [simplify]: Extracting #12: cost 1 inf + 95596 555.151 * * [simplify]: Extracting #13: cost 0 inf + 97381 555.170 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) 555.170 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 555.171 * * * * [progress]: [ 1874 / 5906 ] simplifiying candidate # 555.171 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 555.171 * * [simplify]: iters left: 6 (52 enodes) 555.184 * * [simplify]: iters left: 5 (253 enodes) 555.239 * * [simplify]: Extracting #0: cost 1 inf + 0 555.239 * * [simplify]: Extracting #1: cost 3 inf + 0 555.239 * * [simplify]: Extracting #2: cost 6 inf + 0 555.239 * * [simplify]: Extracting #3: cost 56 inf + 0 555.239 * * [simplify]: Extracting #4: cost 130 inf + 0 555.239 * * [simplify]: Extracting #5: cost 210 inf + 0 555.240 * * [simplify]: Extracting #6: cost 287 inf + 335 555.242 * * [simplify]: Extracting #7: cost 228 inf + 8382 555.246 * * [simplify]: Extracting #8: cost 139 inf + 31123 555.256 * * [simplify]: Extracting #9: cost 63 inf + 61405 555.268 * * [simplify]: Extracting #10: cost 45 inf + 72409 555.288 * * [simplify]: Extracting #11: cost 6 inf + 114824 555.314 * * [simplify]: Extracting #12: cost 1 inf + 122149 555.339 * * [simplify]: Extracting #13: cost 0 inf + 124174 555.363 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) 555.363 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 555.364 * * * * [progress]: [ 1875 / 5906 ] simplifiying candidate # 555.364 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 555.364 * * [simplify]: iters left: 6 (53 enodes) 555.377 * * [simplify]: iters left: 5 (262 enodes) 555.431 * * [simplify]: Extracting #0: cost 1 inf + 0 555.431 * * [simplify]: Extracting #1: cost 3 inf + 0 555.431 * * [simplify]: Extracting #2: cost 6 inf + 0 555.431 * * [simplify]: Extracting #3: cost 60 inf + 0 555.431 * * [simplify]: Extracting #4: cost 153 inf + 0 555.432 * * [simplify]: Extracting #5: cost 223 inf + 85 555.433 * * [simplify]: Extracting #6: cost 263 inf + 4486 555.436 * * [simplify]: Extracting #7: cost 209 inf + 13529 555.440 * * [simplify]: Extracting #8: cost 153 inf + 27905 555.448 * * [simplify]: Extracting #9: cost 103 inf + 49962 555.462 * * [simplify]: Extracting #10: cost 53 inf + 71186 555.476 * * [simplify]: Extracting #11: cost 36 inf + 84091 555.497 * * [simplify]: Extracting #12: cost 3 inf + 122876 555.521 * * [simplify]: Extracting #13: cost 0 inf + 127271 555.546 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 555.546 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 555.547 * * * * [progress]: [ 1876 / 5906 ] simplifiying candidate # 555.547 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 555.547 * * [simplify]: iters left: 6 (53 enodes) 555.562 * * [simplify]: iters left: 5 (262 enodes) 555.620 * * [simplify]: Extracting #0: cost 1 inf + 0 555.620 * * [simplify]: Extracting #1: cost 3 inf + 0 555.620 * * [simplify]: Extracting #2: cost 6 inf + 0 555.621 * * [simplify]: Extracting #3: cost 62 inf + 0 555.621 * * [simplify]: Extracting #4: cost 151 inf + 0 555.621 * * [simplify]: Extracting #5: cost 220 inf + 44 555.623 * * [simplify]: Extracting #6: cost 259 inf + 4727 555.627 * * [simplify]: Extracting #7: cost 202 inf + 14536 555.632 * * [simplify]: Extracting #8: cost 155 inf + 26996 555.640 * * [simplify]: Extracting #9: cost 98 inf + 51317 555.652 * * [simplify]: Extracting #10: cost 46 inf + 74313 555.671 * * [simplify]: Extracting #11: cost 10 inf + 113293 555.694 * * [simplify]: Extracting #12: cost 0 inf + 124863 555.718 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 555.718 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 555.719 * * * * [progress]: [ 1877 / 5906 ] simplifiying candidate # 555.719 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 555.719 * * [simplify]: iters left: 6 (47 enodes) 555.731 * * [simplify]: iters left: 5 (226 enodes) 555.773 * * [simplify]: Extracting #0: cost 1 inf + 0 555.773 * * [simplify]: Extracting #1: cost 3 inf + 0 555.773 * * [simplify]: Extracting #2: cost 6 inf + 0 555.774 * * [simplify]: Extracting #3: cost 54 inf + 0 555.774 * * [simplify]: Extracting #4: cost 119 inf + 0 555.774 * * [simplify]: Extracting #5: cost 164 inf + 532 555.775 * * [simplify]: Extracting #6: cost 219 inf + 2737 555.777 * * [simplify]: Extracting #7: cost 183 inf + 8427 555.783 * * [simplify]: Extracting #8: cost 125 inf + 23739 555.792 * * [simplify]: Extracting #9: cost 52 inf + 56762 555.808 * * [simplify]: Extracting #10: cost 6 inf + 93665 555.827 * * [simplify]: Extracting #11: cost 1 inf + 99697 555.846 * * [simplify]: Extracting #12: cost 0 inf + 101522 555.866 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 555.866 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 555.867 * * * * [progress]: [ 1878 / 5906 ] simplifiying candidate # 555.867 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 555.867 * * [simplify]: iters left: 6 (52 enodes) 555.881 * * [simplify]: iters left: 5 (254 enodes) 555.932 * * [simplify]: Extracting #0: cost 1 inf + 0 555.932 * * [simplify]: Extracting #1: cost 3 inf + 0 555.932 * * [simplify]: Extracting #2: cost 10 inf + 0 555.932 * * [simplify]: Extracting #3: cost 74 inf + 0 555.933 * * [simplify]: Extracting #4: cost 137 inf + 1 555.933 * * [simplify]: Extracting #5: cost 190 inf + 207 555.934 * * [simplify]: Extracting #6: cost 231 inf + 5126 555.938 * * [simplify]: Extracting #7: cost 169 inf + 23338 555.946 * * [simplify]: Extracting #8: cost 126 inf + 38773 555.953 * * [simplify]: Extracting #9: cost 119 inf + 40720 555.960 * * [simplify]: Extracting #10: cost 94 inf + 49678 555.972 * * [simplify]: Extracting #11: cost 38 inf + 74103 555.990 * * [simplify]: Extracting #12: cost 7 inf + 105238 556.013 * * [simplify]: Extracting #13: cost 1 inf + 112948 556.036 * * [simplify]: Extracting #14: cost 0 inf + 114973 556.059 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 556.059 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 556.060 * * * * [progress]: [ 1879 / 5906 ] simplifiying candidate # 556.060 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 556.060 * * [simplify]: iters left: 6 (47 enodes) 556.072 * * [simplify]: iters left: 5 (226 enodes) 556.116 * * [simplify]: Extracting #0: cost 1 inf + 0 556.116 * * [simplify]: Extracting #1: cost 3 inf + 0 556.116 * * [simplify]: Extracting #2: cost 10 inf + 0 556.117 * * [simplify]: Extracting #3: cost 66 inf + 0 556.117 * * [simplify]: Extracting #4: cost 117 inf + 44 556.117 * * [simplify]: Extracting #5: cost 154 inf + 1064 556.118 * * [simplify]: Extracting #6: cost 216 inf + 3057 556.120 * * [simplify]: Extracting #7: cost 179 inf + 9554 556.125 * * [simplify]: Extracting #8: cost 132 inf + 24514 556.132 * * [simplify]: Extracting #9: cost 86 inf + 42871 556.141 * * [simplify]: Extracting #10: cost 37 inf + 61100 556.157 * * [simplify]: Extracting #11: cost 3 inf + 89937 556.175 * * [simplify]: Extracting #12: cost 0 inf + 95172 556.194 * * [simplify]: Extracting #13: cost 0 inf + 95132 556.214 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) 556.214 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 556.215 * * * * [progress]: [ 1880 / 5906 ] simplifiying candidate # 556.215 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 556.216 * * [simplify]: iters left: 6 (52 enodes) 556.230 * * [simplify]: iters left: 5 (254 enodes) 556.282 * * [simplify]: Extracting #0: cost 1 inf + 0 556.282 * * [simplify]: Extracting #1: cost 3 inf + 0 556.282 * * [simplify]: Extracting #2: cost 10 inf + 0 556.282 * * [simplify]: Extracting #3: cost 74 inf + 0 556.283 * * [simplify]: Extracting #4: cost 137 inf + 1 556.283 * * [simplify]: Extracting #5: cost 190 inf + 207 556.284 * * [simplify]: Extracting #6: cost 232 inf + 5285 556.288 * * [simplify]: Extracting #7: cost 174 inf + 21864 556.294 * * [simplify]: Extracting #8: cost 130 inf + 39035 556.301 * * [simplify]: Extracting #9: cost 119 inf + 41680 556.309 * * [simplify]: Extracting #10: cost 93 inf + 50902 556.321 * * [simplify]: Extracting #11: cost 38 inf + 75063 556.339 * * [simplify]: Extracting #12: cost 7 inf + 106198 556.362 * * [simplify]: Extracting #13: cost 1 inf + 113908 556.386 * * [simplify]: Extracting #14: cost 0 inf + 115933 556.409 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 556.409 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 556.409 * * * * [progress]: [ 1881 / 5906 ] simplifiying candidate # 556.410 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 556.410 * * [simplify]: iters left: 6 (47 enodes) 556.422 * * [simplify]: iters left: 5 (226 enodes) 556.467 * * [simplify]: Extracting #0: cost 1 inf + 0 556.467 * * [simplify]: Extracting #1: cost 3 inf + 0 556.467 * * [simplify]: Extracting #2: cost 10 inf + 0 556.467 * * [simplify]: Extracting #3: cost 65 inf + 0 556.468 * * [simplify]: Extracting #4: cost 116 inf + 86 556.468 * * [simplify]: Extracting #5: cost 150 inf + 1512 556.469 * * [simplify]: Extracting #6: cost 216 inf + 3017 556.471 * * [simplify]: Extracting #7: cost 180 inf + 9312 556.476 * * [simplify]: Extracting #8: cost 132 inf + 25758 556.483 * * [simplify]: Extracting #9: cost 86 inf + 43532 556.492 * * [simplify]: Extracting #10: cost 38 inf + 61288 556.508 * * [simplify]: Extracting #11: cost 3 inf + 90337 556.527 * * [simplify]: Extracting #12: cost 0 inf + 95572 556.551 * * [simplify]: Extracting #13: cost 0 inf + 95532 556.571 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) 556.571 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 556.571 * * * * [progress]: [ 1882 / 5906 ] simplifiying candidate # 556.571 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 556.572 * * [simplify]: iters left: 6 (52 enodes) 556.584 * * [simplify]: iters left: 5 (254 enodes) 556.637 * * [simplify]: Extracting #0: cost 1 inf + 0 556.637 * * [simplify]: Extracting #1: cost 3 inf + 0 556.637 * * [simplify]: Extracting #2: cost 6 inf + 0 556.637 * * [simplify]: Extracting #3: cost 56 inf + 0 556.637 * * [simplify]: Extracting #4: cost 130 inf + 0 556.638 * * [simplify]: Extracting #5: cost 210 inf + 0 556.639 * * [simplify]: Extracting #6: cost 282 inf + 213 556.641 * * [simplify]: Extracting #7: cost 212 inf + 12055 556.646 * * [simplify]: Extracting #8: cost 117 inf + 38018 556.657 * * [simplify]: Extracting #9: cost 51 inf + 66748 556.676 * * [simplify]: Extracting #10: cost 9 inf + 112217 556.701 * * [simplify]: Extracting #11: cost 1 inf + 121377 556.725 * * [simplify]: Extracting #12: cost 0 inf + 123402 556.748 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 556.748 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 556.749 * * * * [progress]: [ 1883 / 5906 ] simplifiying candidate # 556.749 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 556.750 * * [simplify]: iters left: 6 (53 enodes) 556.763 * * [simplify]: iters left: 5 (263 enodes) 556.818 * * [simplify]: Extracting #0: cost 1 inf + 0 556.818 * * [simplify]: Extracting #1: cost 3 inf + 0 556.818 * * [simplify]: Extracting #2: cost 6 inf + 0 556.818 * * [simplify]: Extracting #3: cost 60 inf + 0 556.818 * * [simplify]: Extracting #4: cost 153 inf + 0 556.819 * * [simplify]: Extracting #5: cost 224 inf + 44 556.820 * * [simplify]: Extracting #6: cost 257 inf + 5009 556.823 * * [simplify]: Extracting #7: cost 203 inf + 14590 556.828 * * [simplify]: Extracting #8: cost 148 inf + 30104 556.837 * * [simplify]: Extracting #9: cost 97 inf + 53911 556.850 * * [simplify]: Extracting #10: cost 50 inf + 72091 556.873 * * [simplify]: Extracting #11: cost 4 inf + 120359 556.897 * * [simplify]: Extracting #12: cost 0 inf + 126419 556.920 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 556.920 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 556.921 * * * * [progress]: [ 1884 / 5906 ] simplifiying candidate # 556.921 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 556.921 * * [simplify]: iters left: 6 (53 enodes) 556.935 * * [simplify]: iters left: 5 (263 enodes) 556.990 * * [simplify]: Extracting #0: cost 1 inf + 0 556.990 * * [simplify]: Extracting #1: cost 3 inf + 0 556.990 * * [simplify]: Extracting #2: cost 6 inf + 0 556.990 * * [simplify]: Extracting #3: cost 62 inf + 0 556.990 * * [simplify]: Extracting #4: cost 151 inf + 0 556.991 * * [simplify]: Extracting #5: cost 220 inf + 44 556.992 * * [simplify]: Extracting #6: cost 250 inf + 5014 556.995 * * [simplify]: Extracting #7: cost 191 inf + 15565 557.000 * * [simplify]: Extracting #8: cost 128 inf + 34771 557.011 * * [simplify]: Extracting #9: cost 59 inf + 64062 557.027 * * [simplify]: Extracting #10: cost 35 inf + 83016 557.047 * * [simplify]: Extracting #11: cost 4 inf + 118471 557.071 * * [simplify]: Extracting #12: cost 0 inf + 124091 557.095 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 557.095 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 557.095 * * * * [progress]: [ 1885 / 5906 ] simplifiying candidate # 557.096 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 557.096 * * [simplify]: iters left: 6 (47 enodes) 557.107 * * [simplify]: iters left: 5 (227 enodes) 557.155 * * [simplify]: Extracting #0: cost 1 inf + 0 557.156 * * [simplify]: Extracting #1: cost 3 inf + 0 557.156 * * [simplify]: Extracting #2: cost 6 inf + 0 557.156 * * [simplify]: Extracting #3: cost 54 inf + 0 557.156 * * [simplify]: Extracting #4: cost 119 inf + 0 557.156 * * [simplify]: Extracting #5: cost 168 inf + 44 557.157 * * [simplify]: Extracting #6: cost 222 inf + 1560 557.159 * * [simplify]: Extracting #7: cost 182 inf + 7898 557.162 * * [simplify]: Extracting #8: cost 154 inf + 13242 557.166 * * [simplify]: Extracting #9: cost 109 inf + 29545 557.175 * * [simplify]: Extracting #10: cost 50 inf + 54307 557.189 * * [simplify]: Extracting #11: cost 24 inf + 71070 557.206 * * [simplify]: Extracting #12: cost 3 inf + 92915 557.225 * * [simplify]: Extracting #13: cost 1 inf + 96605 557.244 * * [simplify]: Extracting #14: cost 0 inf + 98470 557.263 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (+ phi1 phi2)) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 557.263 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (+ phi1 phi2)) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 557.264 * * * * [progress]: [ 1886 / 5906 ] simplifiying candidate # 557.264 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 557.265 * * [simplify]: iters left: 6 (52 enodes) 557.279 * * [simplify]: iters left: 5 (255 enodes) 557.329 * * [simplify]: Extracting #0: cost 1 inf + 0 557.329 * * [simplify]: Extracting #1: cost 3 inf + 0 557.329 * * [simplify]: Extracting #2: cost 10 inf + 0 557.329 * * [simplify]: Extracting #3: cost 74 inf + 0 557.329 * * [simplify]: Extracting #4: cost 137 inf + 1 557.330 * * [simplify]: Extracting #5: cost 190 inf + 207 557.331 * * [simplify]: Extracting #6: cost 224 inf + 5729 557.335 * * [simplify]: Extracting #7: cost 168 inf + 23363 557.342 * * [simplify]: Extracting #8: cost 104 inf + 44834 557.354 * * [simplify]: Extracting #9: cost 55 inf + 61906 557.372 * * [simplify]: Extracting #10: cost 8 inf + 105241 557.395 * * [simplify]: Extracting #11: cost 0 inf + 114001 557.418 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 557.418 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 557.419 * * * * [progress]: [ 1887 / 5906 ] simplifiying candidate # 557.419 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 557.419 * * [simplify]: iters left: 6 (47 enodes) 557.433 * * [simplify]: iters left: 5 (227 enodes) 557.478 * * [simplify]: Extracting #0: cost 1 inf + 0 557.478 * * [simplify]: Extracting #1: cost 3 inf + 0 557.478 * * [simplify]: Extracting #2: cost 10 inf + 0 557.478 * * [simplify]: Extracting #3: cost 66 inf + 0 557.478 * * [simplify]: Extracting #4: cost 117 inf + 44 557.479 * * [simplify]: Extracting #5: cost 153 inf + 1186 557.480 * * [simplify]: Extracting #6: cost 210 inf + 3057 557.481 * * [simplify]: Extracting #7: cost 187 inf + 6763 557.484 * * [simplify]: Extracting #8: cost 145 inf + 16944 557.491 * * [simplify]: Extracting #9: cost 96 inf + 37660 557.500 * * [simplify]: Extracting #10: cost 39 inf + 59160 557.516 * * [simplify]: Extracting #11: cost 11 inf + 79885 557.534 * * [simplify]: Extracting #12: cost 3 inf + 88885 557.552 * * [simplify]: Extracting #13: cost 1 inf + 92415 557.572 * * [simplify]: Extracting #14: cost 0 inf + 94200 557.590 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 557.591 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 557.591 * * * * [progress]: [ 1888 / 5906 ] simplifiying candidate # 557.591 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 557.592 * * [simplify]: iters left: 6 (52 enodes) 557.604 * * [simplify]: iters left: 5 (255 enodes) 557.656 * * [simplify]: Extracting #0: cost 1 inf + 0 557.656 * * [simplify]: Extracting #1: cost 3 inf + 0 557.656 * * [simplify]: Extracting #2: cost 10 inf + 0 557.656 * * [simplify]: Extracting #3: cost 74 inf + 0 557.656 * * [simplify]: Extracting #4: cost 137 inf + 1 557.657 * * [simplify]: Extracting #5: cost 190 inf + 207 557.658 * * [simplify]: Extracting #6: cost 228 inf + 4801 557.661 * * [simplify]: Extracting #7: cost 180 inf + 18405 557.668 * * [simplify]: Extracting #8: cost 102 inf + 46150 557.680 * * [simplify]: Extracting #9: cost 55 inf + 62866 557.698 * * [simplify]: Extracting #10: cost 9 inf + 104176 557.721 * * [simplify]: Extracting #11: cost 1 inf + 112936 557.745 * * [simplify]: Extracting #12: cost 0 inf + 114961 557.768 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 557.768 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 557.769 * * * * [progress]: [ 1889 / 5906 ] simplifiying candidate # 557.769 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 557.769 * * [simplify]: iters left: 6 (47 enodes) 557.782 * * [simplify]: iters left: 5 (227 enodes) 557.825 * * [simplify]: Extracting #0: cost 1 inf + 0 557.825 * * [simplify]: Extracting #1: cost 3 inf + 0 557.825 * * [simplify]: Extracting #2: cost 10 inf + 0 557.825 * * [simplify]: Extracting #3: cost 65 inf + 0 557.825 * * [simplify]: Extracting #4: cost 116 inf + 86 557.826 * * [simplify]: Extracting #5: cost 150 inf + 1512 557.827 * * [simplify]: Extracting #6: cost 210 inf + 3017 557.829 * * [simplify]: Extracting #7: cost 179 inf + 9465 557.834 * * [simplify]: Extracting #8: cost 132 inf + 24225 557.840 * * [simplify]: Extracting #9: cost 92 inf + 40673 557.852 * * [simplify]: Extracting #10: cost 40 inf + 59215 557.866 * * [simplify]: Extracting #11: cost 10 inf + 81070 557.884 * * [simplify]: Extracting #12: cost 3 inf + 89285 557.902 * * [simplify]: Extracting #13: cost 1 inf + 92815 557.921 * * [simplify]: Extracting #14: cost 0 inf + 94600 557.940 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 557.940 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 557.940 * * * * [progress]: [ 1890 / 5906 ] simplifiying candidate # 557.941 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 557.941 * * [simplify]: iters left: 6 (41 enodes) 557.952 * * [simplify]: iters left: 5 (189 enodes) 557.988 * * [simplify]: Extracting #0: cost 1 inf + 0 557.988 * * [simplify]: Extracting #1: cost 3 inf + 0 557.988 * * [simplify]: Extracting #2: cost 6 inf + 0 557.988 * * [simplify]: Extracting #3: cost 48 inf + 0 557.988 * * [simplify]: Extracting #4: cost 112 inf + 0 557.989 * * [simplify]: Extracting #5: cost 170 inf + 0 557.989 * * [simplify]: Extracting #6: cost 213 inf + 252 557.990 * * [simplify]: Extracting #7: cost 178 inf + 5259 557.993 * * [simplify]: Extracting #8: cost 107 inf + 22346 557.999 * * [simplify]: Extracting #9: cost 66 inf + 36680 558.007 * * [simplify]: Extracting #10: cost 35 inf + 48263 558.022 * * [simplify]: Extracting #11: cost 4 inf + 76998 558.039 * * [simplify]: Extracting #12: cost 0 inf + 80658 558.055 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) 558.056 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 558.056 * * * * [progress]: [ 1891 / 5906 ] simplifiying candidate # 558.056 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 558.057 * * [simplify]: iters left: 6 (42 enodes) 558.069 * * [simplify]: iters left: 5 (198 enodes) 558.108 * * [simplify]: Extracting #0: cost 1 inf + 0 558.108 * * [simplify]: Extracting #1: cost 3 inf + 0 558.108 * * [simplify]: Extracting #2: cost 6 inf + 0 558.108 * * [simplify]: Extracting #3: cost 52 inf + 0 558.109 * * [simplify]: Extracting #4: cost 135 inf + 0 558.109 * * [simplify]: Extracting #5: cost 181 inf + 209 558.110 * * [simplify]: Extracting #6: cost 212 inf + 1763 558.112 * * [simplify]: Extracting #7: cost 151 inf + 10538 558.115 * * [simplify]: Extracting #8: cost 109 inf + 22317 558.121 * * [simplify]: Extracting #9: cost 66 inf + 40017 558.131 * * [simplify]: Extracting #10: cost 28 inf + 55215 558.144 * * [simplify]: Extracting #11: cost 4 inf + 76455 558.160 * * [simplify]: Extracting #12: cost 0 inf + 80515 558.176 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) 558.176 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 558.176 * * * * [progress]: [ 1892 / 5906 ] simplifiying candidate # 558.177 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 558.177 * * [simplify]: iters left: 6 (42 enodes) 558.189 * * [simplify]: iters left: 5 (198 enodes) 558.226 * * [simplify]: Extracting #0: cost 1 inf + 0 558.226 * * [simplify]: Extracting #1: cost 3 inf + 0 558.226 * * [simplify]: Extracting #2: cost 6 inf + 0 558.227 * * [simplify]: Extracting #3: cost 54 inf + 0 558.227 * * [simplify]: Extracting #4: cost 133 inf + 0 558.227 * * [simplify]: Extracting #5: cost 179 inf + 86 558.228 * * [simplify]: Extracting #6: cost 209 inf + 2065 558.230 * * [simplify]: Extracting #7: cost 153 inf + 9535 558.234 * * [simplify]: Extracting #8: cost 101 inf + 25314 558.240 * * [simplify]: Extracting #9: cost 68 inf + 37854 558.249 * * [simplify]: Extracting #10: cost 29 inf + 54862 558.264 * * [simplify]: Extracting #11: cost 6 inf + 75637 558.279 * * [simplify]: Extracting #12: cost 0 inf + 80787 558.295 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ phi1 phi2)) (- phi1 phi2))))) 558.295 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ phi1 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 558.296 * * * * [progress]: [ 1893 / 5906 ] simplifiying candidate # 558.296 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 558.296 * * [simplify]: iters left: 6 (35 enodes) 558.304 * * [simplify]: iters left: 5 (158 enodes) 558.332 * * [simplify]: iters left: 4 (414 enodes) 558.890 * * [simplify]: Extracting #0: cost 1 inf + 0 558.890 * * [simplify]: Extracting #1: cost 3 inf + 0 558.890 * * [simplify]: Extracting #2: cost 16 inf + 0 558.890 * * [simplify]: Extracting #3: cost 153 inf + 0 558.891 * * [simplify]: Extracting #4: cost 340 inf + 44 558.892 * * [simplify]: Extracting #5: cost 391 inf + 3827 558.896 * * [simplify]: Extracting #6: cost 429 inf + 12550 558.901 * * [simplify]: Extracting #7: cost 407 inf + 29548 558.919 * * [simplify]: Extracting #8: cost 229 inf + 92919 558.956 * * [simplify]: Extracting #9: cost 44 inf + 179512 559.011 * * [simplify]: Extracting #10: cost 0 inf + 209487 559.063 * * [simplify]: Extracting #11: cost 0 inf + 209207 559.115 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) 559.115 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 559.115 * * * * [progress]: [ 1894 / 5906 ] simplifiying candidate # 559.116 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 559.116 * * [simplify]: iters left: 6 (41 enodes) 559.126 * * [simplify]: iters left: 5 (191 enodes) 559.164 * * [simplify]: iters left: 4 (476 enodes) 559.321 * * [simplify]: Extracting #0: cost 1 inf + 0 559.321 * * [simplify]: Extracting #1: cost 3 inf + 0 559.321 * * [simplify]: Extracting #2: cost 18 inf + 0 559.322 * * [simplify]: Extracting #3: cost 159 inf + 0 559.323 * * [simplify]: Extracting #4: cost 342 inf + 127 559.324 * * [simplify]: Extracting #5: cost 453 inf + 2423 559.328 * * [simplify]: Extracting #6: cost 521 inf + 12063 559.334 * * [simplify]: Extracting #7: cost 477 inf + 37691 559.361 * * [simplify]: Extracting #8: cost 205 inf + 155752 559.413 * * [simplify]: Extracting #9: cost 15 inf + 252612 559.481 * * [simplify]: Extracting #10: cost 0 inf + 265587 559.544 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 559.544 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 559.544 * * * * [progress]: [ 1895 / 5906 ] simplifiying candidate # 559.544 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 559.545 * * [simplify]: iters left: 6 (35 enodes) 559.553 * * [simplify]: iters left: 5 (158 enodes) 559.580 * * [simplify]: iters left: 4 (395 enodes) 559.704 * * [simplify]: Extracting #0: cost 1 inf + 0 559.704 * * [simplify]: Extracting #1: cost 3 inf + 0 559.704 * * [simplify]: Extracting #2: cost 13 inf + 0 559.704 * * [simplify]: Extracting #3: cost 111 inf + 0 559.705 * * [simplify]: Extracting #4: cost 244 inf + 44 559.706 * * [simplify]: Extracting #5: cost 337 inf + 2409 559.709 * * [simplify]: Extracting #6: cost 390 inf + 7496 559.714 * * [simplify]: Extracting #7: cost 370 inf + 24428 559.734 * * [simplify]: Extracting #8: cost 167 inf + 93239 559.769 * * [simplify]: Extracting #9: cost 16 inf + 157438 559.809 * * [simplify]: Extracting #10: cost 0 inf + 172358 559.849 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2)))))) 559.849 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 559.850 * * * * [progress]: [ 1896 / 5906 ] simplifiying candidate # 559.850 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 559.850 * * [simplify]: iters left: 6 (41 enodes) 559.860 * * [simplify]: iters left: 5 (191 enodes) 559.895 * * [simplify]: iters left: 4 (476 enodes) 560.050 * * [simplify]: Extracting #0: cost 1 inf + 0 560.050 * * [simplify]: Extracting #1: cost 3 inf + 0 560.050 * * [simplify]: Extracting #2: cost 18 inf + 0 560.050 * * [simplify]: Extracting #3: cost 143 inf + 0 560.051 * * [simplify]: Extracting #4: cost 305 inf + 86 560.053 * * [simplify]: Extracting #5: cost 459 inf + 823 560.056 * * [simplify]: Extracting #6: cost 519 inf + 12831 560.066 * * [simplify]: Extracting #7: cost 441 inf + 56569 560.095 * * [simplify]: Extracting #8: cost 206 inf + 148483 560.148 * * [simplify]: Extracting #9: cost 12 inf + 255762 560.210 * * [simplify]: Extracting #10: cost 0 inf + 264622 560.272 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 560.272 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 560.272 * * * * [progress]: [ 1897 / 5906 ] simplifiying candidate # 560.273 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 560.273 * * [simplify]: iters left: 6 (35 enodes) 560.281 * * [simplify]: iters left: 5 (158 enodes) 560.310 * * [simplify]: iters left: 4 (395 enodes) 560.443 * * [simplify]: Extracting #0: cost 1 inf + 0 560.444 * * [simplify]: Extracting #1: cost 3 inf + 0 560.444 * * [simplify]: Extracting #2: cost 13 inf + 0 560.444 * * [simplify]: Extracting #3: cost 108 inf + 0 560.445 * * [simplify]: Extracting #4: cost 252 inf + 44 560.446 * * [simplify]: Extracting #5: cost 341 inf + 2932 560.449 * * [simplify]: Extracting #6: cost 374 inf + 12927 560.459 * * [simplify]: Extracting #7: cost 309 inf + 47735 560.478 * * [simplify]: Extracting #8: cost 152 inf + 100000 560.514 * * [simplify]: Extracting #9: cost 22 inf + 153666 560.554 * * [simplify]: Extracting #10: cost 1 inf + 173151 560.595 * * [simplify]: Extracting #11: cost 0 inf + 174296 560.636 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (- phi1 phi2))))) 560.636 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 560.636 * * * * [progress]: [ 1898 / 5906 ] simplifiying candidate # 560.637 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 560.637 * * [simplify]: iters left: 6 (51 enodes) 560.650 * * [simplify]: iters left: 5 (244 enodes) 560.703 * * [simplify]: Extracting #0: cost 1 inf + 0 560.703 * * [simplify]: Extracting #1: cost 3 inf + 0 560.703 * * [simplify]: Extracting #2: cost 6 inf + 0 560.703 * * [simplify]: Extracting #3: cost 56 inf + 0 560.703 * * [simplify]: Extracting #4: cost 130 inf + 0 560.704 * * [simplify]: Extracting #5: cost 200 inf + 0 560.704 * * [simplify]: Extracting #6: cost 254 inf + 1146 560.706 * * [simplify]: Extracting #7: cost 193 inf + 11843 560.711 * * [simplify]: Extracting #8: cost 128 inf + 30862 560.721 * * [simplify]: Extracting #9: cost 59 inf + 57218 560.731 * * [simplify]: Extracting #10: cost 50 inf + 61563 560.752 * * [simplify]: Extracting #11: cost 5 inf + 111248 560.775 * * [simplify]: Extracting #12: cost 1 inf + 117868 560.798 * * [simplify]: Extracting #13: cost 0 inf + 119933 560.821 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 560.821 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 560.822 * * * * [progress]: [ 1899 / 5906 ] simplifiying candidate # 560.822 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 560.823 * * [simplify]: iters left: 6 (52 enodes) 560.836 * * [simplify]: iters left: 5 (253 enodes) 560.888 * * [simplify]: Extracting #0: cost 1 inf + 0 560.888 * * [simplify]: Extracting #1: cost 3 inf + 0 560.888 * * [simplify]: Extracting #2: cost 6 inf + 0 560.888 * * [simplify]: Extracting #3: cost 60 inf + 0 560.889 * * [simplify]: Extracting #4: cost 153 inf + 0 560.889 * * [simplify]: Extracting #5: cost 214 inf + 44 560.890 * * [simplify]: Extracting #6: cost 241 inf + 3477 560.893 * * [simplify]: Extracting #7: cost 176 inf + 17741 560.900 * * [simplify]: Extracting #8: cost 128 inf + 39586 560.908 * * [simplify]: Extracting #9: cost 99 inf + 49210 560.920 * * [simplify]: Extracting #10: cost 54 inf + 64520 560.932 * * [simplify]: Extracting #11: cost 37 inf + 76345 560.950 * * [simplify]: Extracting #12: cost 11 inf + 104195 560.973 * * [simplify]: Extracting #13: cost 1 inf + 116645 560.998 * * [simplify]: Extracting #14: cost 0 inf + 118710 561.022 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) 561.022 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 561.023 * * * * [progress]: [ 1900 / 5906 ] simplifiying candidate # 561.023 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 561.023 * * [simplify]: iters left: 6 (52 enodes) 561.036 * * [simplify]: iters left: 5 (253 enodes) 561.087 * * [simplify]: Extracting #0: cost 1 inf + 0 561.087 * * [simplify]: Extracting #1: cost 3 inf + 0 561.087 * * [simplify]: Extracting #2: cost 6 inf + 0 561.087 * * [simplify]: Extracting #3: cost 62 inf + 0 561.090 * * [simplify]: Extracting #4: cost 151 inf + 0 561.090 * * [simplify]: Extracting #5: cost 210 inf + 44 561.092 * * [simplify]: Extracting #6: cost 220 inf + 6190 561.095 * * [simplify]: Extracting #7: cost 170 inf + 20194 561.101 * * [simplify]: Extracting #8: cost 131 inf + 34007 561.108 * * [simplify]: Extracting #9: cost 92 inf + 49875 561.119 * * [simplify]: Extracting #10: cost 49 inf + 66277 561.135 * * [simplify]: Extracting #11: cost 13 inf + 99857 561.157 * * [simplify]: Extracting #12: cost 1 inf + 114317 561.180 * * [simplify]: Extracting #13: cost 0 inf + 116382 561.202 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 561.202 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 561.202 * * * * [progress]: [ 1901 / 5906 ] simplifiying candidate # 561.203 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 561.203 * * [simplify]: iters left: 6 (46 enodes) 561.215 * * [simplify]: iters left: 5 (217 enodes) 561.257 * * [simplify]: Extracting #0: cost 1 inf + 0 561.258 * * [simplify]: Extracting #1: cost 3 inf + 0 561.258 * * [simplify]: Extracting #2: cost 6 inf + 0 561.258 * * [simplify]: Extracting #3: cost 54 inf + 0 561.258 * * [simplify]: Extracting #4: cost 119 inf + 0 561.258 * * [simplify]: Extracting #5: cost 157 inf + 85 561.259 * * [simplify]: Extracting #6: cost 194 inf + 2411 561.261 * * [simplify]: Extracting #7: cost 164 inf + 7488 561.264 * * [simplify]: Extracting #8: cost 132 inf + 19697 561.270 * * [simplify]: Extracting #9: cost 90 inf + 36576 561.278 * * [simplify]: Extracting #10: cost 42 inf + 53324 561.293 * * [simplify]: Extracting #11: cost 9 inf + 83696 561.312 * * [simplify]: Extracting #12: cost 0 inf + 93761 561.330 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 561.330 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 561.331 * * * * [progress]: [ 1902 / 5906 ] simplifiying candidate # 561.331 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 561.331 * * [simplify]: iters left: 6 (51 enodes) 561.346 * * [simplify]: iters left: 5 (245 enodes) 561.392 * * [simplify]: Extracting #0: cost 1 inf + 0 561.392 * * [simplify]: Extracting #1: cost 3 inf + 0 561.392 * * [simplify]: Extracting #2: cost 10 inf + 0 561.393 * * [simplify]: Extracting #3: cost 74 inf + 0 561.393 * * [simplify]: Extracting #4: cost 137 inf + 1 561.393 * * [simplify]: Extracting #5: cost 179 inf + 249 561.395 * * [simplify]: Extracting #6: cost 212 inf + 3229 561.397 * * [simplify]: Extracting #7: cost 169 inf + 16197 561.403 * * [simplify]: Extracting #8: cost 108 inf + 38253 561.412 * * [simplify]: Extracting #9: cost 53 inf + 58367 561.430 * * [simplify]: Extracting #10: cost 6 inf + 99502 561.452 * * [simplify]: Extracting #11: cost 0 inf + 108972 561.473 * * [simplify]: Extracting #12: cost 0 inf + 108932 561.495 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (+ lambda1 lambda2)))))) 561.495 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 561.495 * * * * [progress]: [ 1903 / 5906 ] simplifiying candidate # 561.495 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 561.496 * * [simplify]: iters left: 6 (46 enodes) 561.507 * * [simplify]: iters left: 5 (217 enodes) 561.549 * * [simplify]: Extracting #0: cost 1 inf + 0 561.549 * * [simplify]: Extracting #1: cost 3 inf + 0 561.549 * * [simplify]: Extracting #2: cost 10 inf + 0 561.549 * * [simplify]: Extracting #3: cost 66 inf + 0 561.549 * * [simplify]: Extracting #4: cost 117 inf + 44 561.550 * * [simplify]: Extracting #5: cost 145 inf + 822 561.551 * * [simplify]: Extracting #6: cost 187 inf + 3180 561.553 * * [simplify]: Extracting #7: cost 167 inf + 7398 561.556 * * [simplify]: Extracting #8: cost 128 inf + 21790 561.562 * * [simplify]: Extracting #9: cost 83 inf + 38318 561.571 * * [simplify]: Extracting #10: cost 35 inf + 55696 561.584 * * [simplify]: Extracting #11: cost 8 inf + 78931 561.603 * * [simplify]: Extracting #12: cost 1 inf + 87346 561.621 * * [simplify]: Extracting #13: cost 0 inf + 89091 561.639 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 561.639 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 561.639 * * * * [progress]: [ 1904 / 5906 ] simplifiying candidate # 561.640 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 561.640 * * [simplify]: iters left: 6 (51 enodes) 561.653 * * [simplify]: iters left: 5 (245 enodes) 561.702 * * [simplify]: Extracting #0: cost 1 inf + 0 561.702 * * [simplify]: Extracting #1: cost 3 inf + 0 561.702 * * [simplify]: Extracting #2: cost 10 inf + 0 561.702 * * [simplify]: Extracting #3: cost 74 inf + 0 561.703 * * [simplify]: Extracting #4: cost 137 inf + 1 561.703 * * [simplify]: Extracting #5: cost 180 inf + 207 561.705 * * [simplify]: Extracting #6: cost 212 inf + 3791 561.707 * * [simplify]: Extracting #7: cost 167 inf + 16359 561.712 * * [simplify]: Extracting #8: cost 114 inf + 34741 561.721 * * [simplify]: Extracting #9: cost 54 inf + 58502 561.738 * * [simplify]: Extracting #10: cost 6 inf + 100462 561.762 * * [simplify]: Extracting #11: cost 0 inf + 109932 561.784 * * [simplify]: Extracting #12: cost 0 inf + 109892 561.805 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (+ lambda1 lambda2)))))) 561.806 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 561.806 * * * * [progress]: [ 1905 / 5906 ] simplifiying candidate # 561.806 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 561.807 * * [simplify]: iters left: 6 (46 enodes) 561.818 * * [simplify]: iters left: 5 (217 enodes) 561.861 * * [simplify]: Extracting #0: cost 1 inf + 0 561.861 * * [simplify]: Extracting #1: cost 3 inf + 0 561.861 * * [simplify]: Extracting #2: cost 10 inf + 0 561.861 * * [simplify]: Extracting #3: cost 65 inf + 0 561.861 * * [simplify]: Extracting #4: cost 117 inf + 44 561.862 * * [simplify]: Extracting #5: cost 143 inf + 1066 561.863 * * [simplify]: Extracting #6: cost 186 inf + 3342 561.864 * * [simplify]: Extracting #7: cost 166 inf + 7519 561.868 * * [simplify]: Extracting #8: cost 129 inf + 21144 561.874 * * [simplify]: Extracting #9: cost 79 inf + 39671 561.883 * * [simplify]: Extracting #10: cost 35 inf + 56096 561.896 * * [simplify]: Extracting #11: cost 8 inf + 79331 561.913 * * [simplify]: Extracting #12: cost 1 inf + 87746 561.934 * * [simplify]: Extracting #13: cost 0 inf + 89491 561.951 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 561.951 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 561.951 * * * * [progress]: [ 1906 / 5906 ] simplifiying candidate # 561.952 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 561.952 * * [simplify]: iters left: 6 (41 enodes) 561.963 * * [simplify]: iters left: 5 (192 enodes) 562.000 * * [simplify]: Extracting #0: cost 1 inf + 0 562.000 * * [simplify]: Extracting #1: cost 3 inf + 0 562.000 * * [simplify]: Extracting #2: cost 6 inf + 0 562.000 * * [simplify]: Extracting #3: cost 54 inf + 0 562.000 * * [simplify]: Extracting #4: cost 120 inf + 0 562.001 * * [simplify]: Extracting #5: cost 178 inf + 0 562.001 * * [simplify]: Extracting #6: cost 224 inf + 89 562.002 * * [simplify]: Extracting #7: cost 188 inf + 6896 562.009 * * [simplify]: Extracting #8: cost 86 inf + 34305 562.016 * * [simplify]: Extracting #9: cost 45 inf + 46647 562.029 * * [simplify]: Extracting #10: cost 16 inf + 72252 562.045 * * [simplify]: Extracting #11: cost 0 inf + 84852 562.063 * * [simplify]: Extracting #12: cost 0 inf + 84772 562.080 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) 562.080 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 562.081 * * * * [progress]: [ 1907 / 5906 ] simplifiying candidate # 562.081 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 562.081 * * [simplify]: iters left: 6 (42 enodes) 562.092 * * [simplify]: iters left: 5 (201 enodes) 562.133 * * [simplify]: Extracting #0: cost 1 inf + 0 562.133 * * [simplify]: Extracting #1: cost 3 inf + 0 562.133 * * [simplify]: Extracting #2: cost 6 inf + 0 562.134 * * [simplify]: Extracting #3: cost 58 inf + 0 562.134 * * [simplify]: Extracting #4: cost 143 inf + 0 562.134 * * [simplify]: Extracting #5: cost 192 inf + 44 562.135 * * [simplify]: Extracting #6: cost 224 inf + 1657 562.137 * * [simplify]: Extracting #7: cost 159 inf + 10398 562.141 * * [simplify]: Extracting #8: cost 107 inf + 26549 562.147 * * [simplify]: Extracting #9: cost 75 inf + 37841 562.155 * * [simplify]: Extracting #10: cost 42 inf + 50019 562.167 * * [simplify]: Extracting #11: cost 16 inf + 70429 562.185 * * [simplify]: Extracting #12: cost 0 inf + 84709 562.201 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) 562.201 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 562.202 * * * * [progress]: [ 1908 / 5906 ] simplifiying candidate # 562.202 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 562.202 * * [simplify]: iters left: 6 (42 enodes) 562.213 * * [simplify]: iters left: 5 (201 enodes) 562.254 * * [simplify]: Extracting #0: cost 1 inf + 0 562.254 * * [simplify]: Extracting #1: cost 3 inf + 0 562.254 * * [simplify]: Extracting #2: cost 6 inf + 0 562.254 * * [simplify]: Extracting #3: cost 60 inf + 0 562.255 * * [simplify]: Extracting #4: cost 141 inf + 0 562.255 * * [simplify]: Extracting #5: cost 187 inf + 86 562.258 * * [simplify]: Extracting #6: cost 219 inf + 1660 562.260 * * [simplify]: Extracting #7: cost 158 inf + 10192 562.264 * * [simplify]: Extracting #8: cost 86 inf + 30848 562.273 * * [simplify]: Extracting #9: cost 39 inf + 51086 562.285 * * [simplify]: Extracting #10: cost 8 inf + 75101 562.301 * * [simplify]: Extracting #11: cost 0 inf + 82061 562.317 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) 562.317 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 562.317 * * * * [progress]: [ 1909 / 5906 ] simplifiying candidate # 562.318 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 562.318 * * [simplify]: iters left: 6 (35 enodes) 562.326 * * [simplify]: iters left: 5 (160 enodes) 562.357 * * [simplify]: iters left: 4 (428 enodes) 562.501 * * [simplify]: Extracting #0: cost 1 inf + 0 562.501 * * [simplify]: Extracting #1: cost 3 inf + 0 562.501 * * [simplify]: Extracting #2: cost 16 inf + 0 562.502 * * [simplify]: Extracting #3: cost 161 inf + 0 562.503 * * [simplify]: Extracting #4: cost 348 inf + 86 562.505 * * [simplify]: Extracting #5: cost 392 inf + 4842 562.508 * * [simplify]: Extracting #6: cost 436 inf + 12752 562.515 * * [simplify]: Extracting #7: cost 409 inf + 32046 562.542 * * [simplify]: Extracting #8: cost 190 inf + 120192 562.591 * * [simplify]: Extracting #9: cost 14 inf + 204467 562.646 * * [simplify]: Extracting #10: cost 0 inf + 211136 562.699 * * [simplify]: Extracting #11: cost 0 inf + 210896 562.754 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (+ phi1 phi2)) (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) 562.755 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (+ phi1 phi2)) (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 562.755 * * * * [progress]: [ 1910 / 5906 ] simplifiying candidate # 562.755 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 562.755 * * [simplify]: iters left: 6 (41 enodes) 562.766 * * [simplify]: iters left: 5 (193 enodes) 562.802 * * [simplify]: iters left: 4 (496 enodes) 562.973 * * [simplify]: Extracting #0: cost 1 inf + 0 562.973 * * [simplify]: Extracting #1: cost 3 inf + 0 562.973 * * [simplify]: Extracting #2: cost 18 inf + 0 562.974 * * [simplify]: Extracting #3: cost 157 inf + 0 562.975 * * [simplify]: Extracting #4: cost 357 inf + 168 562.976 * * [simplify]: Extracting #5: cost 468 inf + 1640 562.979 * * [simplify]: Extracting #6: cost 554 inf + 6491 562.985 * * [simplify]: Extracting #7: cost 519 inf + 28580 563.006 * * [simplify]: Extracting #8: cost 299 inf + 98755 563.041 * * [simplify]: Extracting #9: cost 88 inf + 201902 563.100 * * [simplify]: Extracting #10: cost 7 inf + 265433 563.164 * * [simplify]: Extracting #11: cost 0 inf + 270568 563.229 * * [simplify]: Extracting #12: cost 0 inf + 270488 563.293 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 563.293 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 563.294 * * * * [progress]: [ 1911 / 5906 ] simplifiying candidate # 563.294 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 563.294 * * [simplify]: iters left: 6 (35 enodes) 563.304 * * [simplify]: iters left: 5 (160 enodes) 563.332 * * [simplify]: iters left: 4 (415 enodes) 563.478 * * [simplify]: Extracting #0: cost 1 inf + 0 563.479 * * [simplify]: Extracting #1: cost 3 inf + 0 563.479 * * [simplify]: Extracting #2: cost 13 inf + 0 563.479 * * [simplify]: Extracting #3: cost 110 inf + 0 563.480 * * [simplify]: Extracting #4: cost 261 inf + 44 563.481 * * [simplify]: Extracting #5: cost 349 inf + 2856 563.485 * * [simplify]: Extracting #6: cost 380 inf + 13259 563.499 * * [simplify]: Extracting #7: cost 312 inf + 48444 563.519 * * [simplify]: Extracting #8: cost 143 inf + 104021 563.547 * * [simplify]: Extracting #9: cost 43 inf + 141743 563.583 * * [simplify]: Extracting #10: cost 16 inf + 161578 563.624 * * [simplify]: Extracting #11: cost 1 inf + 178353 563.666 * * [simplify]: Extracting #12: cost 0 inf + 179738 563.709 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (+ lambda1 lambda2)))))) 563.709 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 563.709 * * * * [progress]: [ 1912 / 5906 ] simplifiying candidate # 563.710 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 563.710 * * [simplify]: iters left: 6 (41 enodes) 563.720 * * [simplify]: iters left: 5 (193 enodes) 563.758 * * [simplify]: iters left: 4 (496 enodes) 563.924 * * [simplify]: Extracting #0: cost 1 inf + 0 563.925 * * [simplify]: Extracting #1: cost 3 inf + 0 563.925 * * [simplify]: Extracting #2: cost 18 inf + 0 563.925 * * [simplify]: Extracting #3: cost 141 inf + 0 563.926 * * [simplify]: Extracting #4: cost 322 inf + 127 563.927 * * [simplify]: Extracting #5: cost 468 inf + 1270 563.930 * * [simplify]: Extracting #6: cost 542 inf + 8755 563.942 * * [simplify]: Extracting #7: cost 471 inf + 46181 563.969 * * [simplify]: Extracting #8: cost 208 inf + 157905 564.024 * * [simplify]: Extracting #9: cost 15 inf + 258013 564.088 * * [simplify]: Extracting #10: cost 0 inf + 270068 564.154 * * [simplify]: Extracting #11: cost 0 inf + 269548 564.218 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) 564.218 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 564.218 * * * * [progress]: [ 1913 / 5906 ] simplifiying candidate # 564.218 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 564.219 * * [simplify]: iters left: 6 (35 enodes) 564.227 * * [simplify]: iters left: 5 (160 enodes) 564.257 * * [simplify]: iters left: 4 (415 enodes) 564.393 * * [simplify]: Extracting #0: cost 1 inf + 0 564.393 * * [simplify]: Extracting #1: cost 3 inf + 0 564.393 * * [simplify]: Extracting #2: cost 13 inf + 0 564.393 * * [simplify]: Extracting #3: cost 107 inf + 0 564.394 * * [simplify]: Extracting #4: cost 271 inf + 44 564.395 * * [simplify]: Extracting #5: cost 361 inf + 2685 564.399 * * [simplify]: Extracting #6: cost 391 inf + 12811 564.408 * * [simplify]: Extracting #7: cost 321 inf + 46267 564.433 * * [simplify]: Extracting #8: cost 166 inf + 97520 564.459 * * [simplify]: Extracting #9: cost 66 inf + 132474 564.489 * * [simplify]: Extracting #10: cost 38 inf + 145934 564.527 * * [simplify]: Extracting #11: cost 8 inf + 168484 564.566 * * [simplify]: Extracting #12: cost 1 inf + 174219 564.607 * * [simplify]: Extracting #13: cost 0 inf + 175404 564.647 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (* (- phi1 phi2) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))))))) 564.647 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (* (- phi1 phi2) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 564.647 * * * * [progress]: [ 1914 / 5906 ] simplifiying candidate # 564.648 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 564.648 * * [simplify]: iters left: 6 (51 enodes) 564.661 * * [simplify]: iters left: 5 (244 enodes) 564.710 * * [simplify]: Extracting #0: cost 1 inf + 0 564.711 * * [simplify]: Extracting #1: cost 3 inf + 0 564.711 * * [simplify]: Extracting #2: cost 6 inf + 0 564.711 * * [simplify]: Extracting #3: cost 56 inf + 0 564.711 * * [simplify]: Extracting #4: cost 130 inf + 0 564.711 * * [simplify]: Extracting #5: cost 200 inf + 0 564.713 * * [simplify]: Extracting #6: cost 254 inf + 1146 564.715 * * [simplify]: Extracting #7: cost 193 inf + 11843 564.720 * * [simplify]: Extracting #8: cost 127 inf + 31144 564.730 * * [simplify]: Extracting #9: cost 58 inf + 57963 564.740 * * [simplify]: Extracting #10: cost 50 inf + 61883 564.761 * * [simplify]: Extracting #11: cost 5 inf + 111568 564.784 * * [simplify]: Extracting #12: cost 1 inf + 118188 564.807 * * [simplify]: Extracting #13: cost 0 inf + 120253 564.830 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 564.830 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 564.831 * * * * [progress]: [ 1915 / 5906 ] simplifiying candidate # 564.831 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 564.831 * * [simplify]: iters left: 6 (52 enodes) 564.844 * * [simplify]: iters left: 5 (253 enodes) 564.896 * * [simplify]: Extracting #0: cost 1 inf + 0 564.896 * * [simplify]: Extracting #1: cost 3 inf + 0 564.896 * * [simplify]: Extracting #2: cost 6 inf + 0 564.896 * * [simplify]: Extracting #3: cost 60 inf + 0 564.897 * * [simplify]: Extracting #4: cost 153 inf + 0 564.897 * * [simplify]: Extracting #5: cost 214 inf + 44 564.899 * * [simplify]: Extracting #6: cost 226 inf + 6627 564.902 * * [simplify]: Extracting #7: cost 173 inf + 19410 564.908 * * [simplify]: Extracting #8: cost 127 inf + 38908 564.919 * * [simplify]: Extracting #9: cost 98 inf + 49715 564.929 * * [simplify]: Extracting #10: cost 53 inf + 65265 564.941 * * [simplify]: Extracting #11: cost 37 inf + 76665 564.959 * * [simplify]: Extracting #12: cost 12 inf + 103850 564.981 * * [simplify]: Extracting #13: cost 1 inf + 116965 565.004 * * [simplify]: Extracting #14: cost 0 inf + 119030 565.028 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) 565.028 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 565.029 * * * * [progress]: [ 1916 / 5906 ] simplifiying candidate # 565.029 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 565.029 * * [simplify]: iters left: 6 (52 enodes) 565.043 * * [simplify]: iters left: 5 (253 enodes) 565.097 * * [simplify]: Extracting #0: cost 1 inf + 0 565.097 * * [simplify]: Extracting #1: cost 3 inf + 0 565.097 * * [simplify]: Extracting #2: cost 6 inf + 0 565.097 * * [simplify]: Extracting #3: cost 62 inf + 0 565.097 * * [simplify]: Extracting #4: cost 151 inf + 0 565.098 * * [simplify]: Extracting #5: cost 210 inf + 44 565.099 * * [simplify]: Extracting #6: cost 211 inf + 8448 565.103 * * [simplify]: Extracting #7: cost 166 inf + 20942 565.108 * * [simplify]: Extracting #8: cost 133 inf + 33281 565.117 * * [simplify]: Extracting #9: cost 91 inf + 50179 565.127 * * [simplify]: Extracting #10: cost 48 inf + 67022 565.143 * * [simplify]: Extracting #11: cost 12 inf + 101282 565.165 * * [simplify]: Extracting #12: cost 1 inf + 114637 565.188 * * [simplify]: Extracting #13: cost 0 inf + 116702 565.210 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) 565.210 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 565.211 * * * * [progress]: [ 1917 / 5906 ] simplifiying candidate # 565.211 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 565.211 * * [simplify]: iters left: 6 (46 enodes) 565.222 * * [simplify]: iters left: 5 (217 enodes) 565.264 * * [simplify]: Extracting #0: cost 1 inf + 0 565.264 * * [simplify]: Extracting #1: cost 3 inf + 0 565.265 * * [simplify]: Extracting #2: cost 6 inf + 0 565.265 * * [simplify]: Extracting #3: cost 54 inf + 0 565.265 * * [simplify]: Extracting #4: cost 119 inf + 0 565.265 * * [simplify]: Extracting #5: cost 157 inf + 85 565.266 * * [simplify]: Extracting #6: cost 194 inf + 2411 565.268 * * [simplify]: Extracting #7: cost 164 inf + 7408 565.271 * * [simplify]: Extracting #8: cost 131 inf + 20221 565.277 * * [simplify]: Extracting #9: cost 91 inf + 36050 565.286 * * [simplify]: Extracting #10: cost 44 inf + 52929 565.299 * * [simplify]: Extracting #11: cost 10 inf + 82951 565.317 * * [simplify]: Extracting #12: cost 0 inf + 94081 565.335 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 565.335 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 565.336 * * * * [progress]: [ 1918 / 5906 ] simplifiying candidate # 565.336 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 565.337 * * [simplify]: iters left: 6 (51 enodes) 565.352 * * [simplify]: iters left: 5 (245 enodes) 565.404 * * [simplify]: Extracting #0: cost 1 inf + 0 565.404 * * [simplify]: Extracting #1: cost 3 inf + 0 565.404 * * [simplify]: Extracting #2: cost 10 inf + 0 565.404 * * [simplify]: Extracting #3: cost 74 inf + 0 565.404 * * [simplify]: Extracting #4: cost 137 inf + 1 565.405 * * [simplify]: Extracting #5: cost 179 inf + 249 565.406 * * [simplify]: Extracting #6: cost 209 inf + 3997 565.409 * * [simplify]: Extracting #7: cost 164 inf + 18689 565.417 * * [simplify]: Extracting #8: cost 107 inf + 39011 565.425 * * [simplify]: Extracting #9: cost 60 inf + 55192 565.435 * * [simplify]: Extracting #10: cost 41 inf + 65547 565.452 * * [simplify]: Extracting #11: cost 7 inf + 98517 565.472 * * [simplify]: Extracting #12: cost 1 inf + 107107 565.493 * * [simplify]: Extracting #13: cost 0 inf + 109092 565.515 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) 565.515 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 565.515 * * * * [progress]: [ 1919 / 5906 ] simplifiying candidate # 565.516 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 565.516 * * [simplify]: iters left: 6 (46 enodes) 565.528 * * [simplify]: iters left: 5 (217 enodes) 565.569 * * [simplify]: Extracting #0: cost 1 inf + 0 565.569 * * [simplify]: Extracting #1: cost 3 inf + 0 565.569 * * [simplify]: Extracting #2: cost 10 inf + 0 565.569 * * [simplify]: Extracting #3: cost 66 inf + 0 565.569 * * [simplify]: Extracting #4: cost 117 inf + 44 565.570 * * [simplify]: Extracting #5: cost 145 inf + 822 565.570 * * [simplify]: Extracting #6: cost 187 inf + 3180 565.572 * * [simplify]: Extracting #7: cost 167 inf + 7398 565.575 * * [simplify]: Extracting #8: cost 129 inf + 21227 565.582 * * [simplify]: Extracting #9: cost 84 inf + 37813 565.593 * * [simplify]: Extracting #10: cost 35 inf + 56016 565.606 * * [simplify]: Extracting #11: cost 8 inf + 79251 565.623 * * [simplify]: Extracting #12: cost 1 inf + 87666 565.640 * * [simplify]: Extracting #13: cost 0 inf + 89411 565.657 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 565.657 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 565.657 * * * * [progress]: [ 1920 / 5906 ] simplifiying candidate # 565.658 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 565.658 * * [simplify]: iters left: 6 (51 enodes) 565.671 * * [simplify]: iters left: 5 (245 enodes) 565.722 * * [simplify]: Extracting #0: cost 1 inf + 0 565.722 * * [simplify]: Extracting #1: cost 3 inf + 0 565.722 * * [simplify]: Extracting #2: cost 10 inf + 0 565.722 * * [simplify]: Extracting #3: cost 74 inf + 0 565.723 * * [simplify]: Extracting #4: cost 137 inf + 1 565.723 * * [simplify]: Extracting #5: cost 180 inf + 207 565.724 * * [simplify]: Extracting #6: cost 211 inf + 3833 565.726 * * [simplify]: Extracting #7: cost 170 inf + 14749 565.732 * * [simplify]: Extracting #8: cost 114 inf + 34720 565.740 * * [simplify]: Extracting #9: cost 61 inf + 55327 565.753 * * [simplify]: Extracting #10: cost 41 inf + 66507 565.769 * * [simplify]: Extracting #11: cost 7 inf + 99517 565.790 * * [simplify]: Extracting #12: cost 1 inf + 108107 565.811 * * [simplify]: Extracting #13: cost 0 inf + 110092 565.833 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) 565.833 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 565.833 * * * * [progress]: [ 1921 / 5906 ] simplifiying candidate # 565.834 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 565.834 * * [simplify]: iters left: 6 (46 enodes) 565.847 * * [simplify]: iters left: 5 (217 enodes) 565.887 * * [simplify]: Extracting #0: cost 1 inf + 0 565.887 * * [simplify]: Extracting #1: cost 3 inf + 0 565.887 * * [simplify]: Extracting #2: cost 10 inf + 0 565.887 * * [simplify]: Extracting #3: cost 65 inf + 0 565.888 * * [simplify]: Extracting #4: cost 117 inf + 44 565.888 * * [simplify]: Extracting #5: cost 143 inf + 1066 565.889 * * [simplify]: Extracting #6: cost 186 inf + 3342 565.891 * * [simplify]: Extracting #7: cost 166 inf + 7519 565.894 * * [simplify]: Extracting #8: cost 129 inf + 21144 565.900 * * [simplify]: Extracting #9: cost 81 inf + 39083 565.909 * * [simplify]: Extracting #10: cost 35 inf + 56416 565.924 * * [simplify]: Extracting #11: cost 8 inf + 79651 565.941 * * [simplify]: Extracting #12: cost 1 inf + 88066 565.957 * * [simplify]: Extracting #13: cost 0 inf + 89811 565.975 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 565.975 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 565.976 * * * * [progress]: [ 1922 / 5906 ] simplifiying candidate # 565.976 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 565.976 * * [simplify]: iters left: 6 (43 enodes) 565.989 * * [simplify]: iters left: 5 (201 enodes) 566.028 * * [simplify]: Extracting #0: cost 1 inf + 0 566.028 * * [simplify]: Extracting #1: cost 3 inf + 0 566.028 * * [simplify]: Extracting #2: cost 6 inf + 0 566.028 * * [simplify]: Extracting #3: cost 54 inf + 0 566.029 * * [simplify]: Extracting #4: cost 122 inf + 0 566.029 * * [simplify]: Extracting #5: cost 179 inf + 0 566.030 * * [simplify]: Extracting #6: cost 229 inf + 341 566.031 * * [simplify]: Extracting #7: cost 190 inf + 5183 566.034 * * [simplify]: Extracting #8: cost 126 inf + 22306 566.040 * * [simplify]: Extracting #9: cost 77 inf + 38794 566.051 * * [simplify]: Extracting #10: cost 23 inf + 67709 566.068 * * [simplify]: Extracting #11: cost 0 inf + 87524 566.087 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 566.087 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 566.087 * * * * [progress]: [ 1923 / 5906 ] simplifiying candidate # 566.088 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 566.088 * * [simplify]: iters left: 6 (44 enodes) 566.102 * * [simplify]: iters left: 5 (210 enodes) 566.143 * * [simplify]: Extracting #0: cost 1 inf + 0 566.143 * * [simplify]: Extracting #1: cost 3 inf + 0 566.143 * * [simplify]: Extracting #2: cost 6 inf + 0 566.143 * * [simplify]: Extracting #3: cost 58 inf + 0 566.143 * * [simplify]: Extracting #4: cost 145 inf + 0 566.144 * * [simplify]: Extracting #5: cost 183 inf + 699 566.145 * * [simplify]: Extracting #6: cost 199 inf + 5333 566.147 * * [simplify]: Extracting #7: cost 156 inf + 13635 566.154 * * [simplify]: Extracting #8: cost 80 inf + 38423 566.167 * * [simplify]: Extracting #9: cost 27 inf + 64066 566.184 * * [simplify]: Extracting #10: cost 0 inf + 88541 566.201 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))))) 566.201 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 566.202 * * * * [progress]: [ 1924 / 5906 ] simplifiying candidate # 566.202 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 566.203 * * [simplify]: iters left: 6 (44 enodes) 566.214 * * [simplify]: iters left: 5 (210 enodes) 566.257 * * [simplify]: Extracting #0: cost 1 inf + 0 566.257 * * [simplify]: Extracting #1: cost 3 inf + 0 566.257 * * [simplify]: Extracting #2: cost 6 inf + 0 566.257 * * [simplify]: Extracting #3: cost 60 inf + 0 566.257 * * [simplify]: Extracting #4: cost 143 inf + 0 566.258 * * [simplify]: Extracting #5: cost 185 inf + 250 566.259 * * [simplify]: Extracting #6: cost 188 inf + 7267 566.262 * * [simplify]: Extracting #7: cost 161 inf + 11539 566.266 * * [simplify]: Extracting #8: cost 102 inf + 26011 566.275 * * [simplify]: Extracting #9: cost 34 inf + 57453 566.292 * * [simplify]: Extracting #10: cost 0 inf + 84773 566.310 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))))) 566.310 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 566.311 * * * * [progress]: [ 1925 / 5906 ] simplifiying candidate # 566.311 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 566.311 * * [simplify]: iters left: 6 (37 enodes) 566.320 * * [simplify]: iters left: 5 (169 enodes) 566.353 * * [simplify]: iters left: 4 (455 enodes) 566.513 * * [simplify]: Extracting #0: cost 1 inf + 0 566.513 * * [simplify]: Extracting #1: cost 3 inf + 0 566.513 * * [simplify]: Extracting #2: cost 16 inf + 0 566.517 * * [simplify]: Extracting #3: cost 173 inf + 0 566.518 * * [simplify]: Extracting #4: cost 368 inf + 85 566.519 * * [simplify]: Extracting #5: cost 431 inf + 2771 566.523 * * [simplify]: Extracting #6: cost 467 inf + 11136 566.529 * * [simplify]: Extracting #7: cost 440 inf + 32325 566.544 * * [simplify]: Extracting #8: cost 327 inf + 72100 566.565 * * [simplify]: Extracting #9: cost 226 inf + 105884 566.598 * * [simplify]: Extracting #10: cost 98 inf + 153156 566.637 * * [simplify]: Extracting #11: cost 54 inf + 181936 566.693 * * [simplify]: Extracting #12: cost 0 inf + 227926 566.753 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)))))) 566.753 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 566.753 * * * * [progress]: [ 1926 / 5906 ] simplifiying candidate # 566.754 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 566.754 * * [simplify]: iters left: 6 (43 enodes) 566.765 * * [simplify]: iters left: 5 (202 enodes) 566.803 * * [simplify]: Extracting #0: cost 1 inf + 0 566.803 * * [simplify]: Extracting #1: cost 3 inf + 0 566.803 * * [simplify]: Extracting #2: cost 10 inf + 0 566.803 * * [simplify]: Extracting #3: cost 72 inf + 0 566.803 * * [simplify]: Extracting #4: cost 128 inf + 42 566.804 * * [simplify]: Extracting #5: cost 155 inf + 453 566.805 * * [simplify]: Extracting #6: cost 186 inf + 3497 566.807 * * [simplify]: Extracting #7: cost 134 inf + 16977 566.813 * * [simplify]: Extracting #8: cost 77 inf + 34651 566.821 * * [simplify]: Extracting #9: cost 31 inf + 54308 566.836 * * [simplify]: Extracting #10: cost 2 inf + 78473 566.853 * * [simplify]: Extracting #11: cost 0 inf + 81203 566.872 * [simplify]: Simplified to (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) 566.872 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 566.873 * * * * [progress]: [ 1927 / 5906 ] simplifiying candidate # 566.873 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 566.873 * * [simplify]: iters left: 6 (37 enodes) 566.882 * * [simplify]: iters left: 5 (169 enodes) 566.913 * * [simplify]: iters left: 4 (442 enodes) 567.066 * * [simplify]: Extracting #0: cost 1 inf + 0 567.066 * * [simplify]: Extracting #1: cost 3 inf + 0 567.066 * * [simplify]: Extracting #2: cost 13 inf + 0 567.066 * * [simplify]: Extracting #3: cost 118 inf + 0 567.067 * * [simplify]: Extracting #4: cost 272 inf + 44 567.068 * * [simplify]: Extracting #5: cost 371 inf + 1922 567.071 * * [simplify]: Extracting #6: cost 397 inf + 13298 567.079 * * [simplify]: Extracting #7: cost 358 inf + 39800 567.100 * * [simplify]: Extracting #8: cost 162 inf + 107556 567.138 * * [simplify]: Extracting #9: cost 22 inf + 165408 567.181 * * [simplify]: Extracting #10: cost 0 inf + 186038 567.226 * * [simplify]: Extracting #11: cost 0 inf + 185238 567.271 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 567.271 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 567.271 * * * * [progress]: [ 1928 / 5906 ] simplifiying candidate # 567.272 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 567.272 * * [simplify]: iters left: 6 (43 enodes) 567.283 * * [simplify]: iters left: 5 (202 enodes) 567.325 * * [simplify]: Extracting #0: cost 1 inf + 0 567.325 * * [simplify]: Extracting #1: cost 3 inf + 0 567.325 * * [simplify]: Extracting #2: cost 10 inf + 0 567.325 * * [simplify]: Extracting #3: cost 72 inf + 0 567.326 * * [simplify]: Extracting #4: cost 128 inf + 42 567.326 * * [simplify]: Extracting #5: cost 156 inf + 372 567.327 * * [simplify]: Extracting #6: cost 193 inf + 2286 567.329 * * [simplify]: Extracting #7: cost 164 inf + 6889 567.333 * * [simplify]: Extracting #8: cost 87 inf + 30614 567.342 * * [simplify]: Extracting #9: cost 30 inf + 56253 567.357 * * [simplify]: Extracting #10: cost 2 inf + 79113 567.374 * * [simplify]: Extracting #11: cost 0 inf + 82163 567.393 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) 567.393 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 567.393 * * * * [progress]: [ 1929 / 5906 ] simplifiying candidate # 567.394 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 567.394 * * [simplify]: iters left: 6 (37 enodes) 567.409 * * [simplify]: iters left: 5 (169 enodes) 567.443 * * [simplify]: iters left: 4 (442 enodes) 567.595 * * [simplify]: Extracting #0: cost 1 inf + 0 567.595 * * [simplify]: Extracting #1: cost 3 inf + 0 567.595 * * [simplify]: Extracting #2: cost 13 inf + 0 567.595 * * [simplify]: Extracting #3: cost 114 inf + 0 567.596 * * [simplify]: Extracting #4: cost 281 inf + 44 567.597 * * [simplify]: Extracting #5: cost 382 inf + 1552 567.601 * * [simplify]: Extracting #6: cost 412 inf + 11187 567.609 * * [simplify]: Extracting #7: cost 355 inf + 41790 567.629 * * [simplify]: Extracting #8: cost 178 inf + 105230 567.669 * * [simplify]: Extracting #9: cost 22 inf + 172771 567.715 * * [simplify]: Extracting #10: cost 0 inf + 189519 567.761 * * [simplify]: Extracting #11: cost 0 inf + 189039 567.807 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- phi1 phi2)) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2))) (* (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ lambda1 lambda2)))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ lambda1 lambda2)))))) 567.808 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- phi1 phi2)) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2))) (* (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ lambda1 lambda2)))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 567.808 * * * * [progress]: [ 1930 / 5906 ] simplifiying candidate # 567.808 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 567.809 * * [simplify]: iters left: 6 (52 enodes) 567.822 * * [simplify]: iters left: 5 (255 enodes) 567.876 * * [simplify]: Extracting #0: cost 1 inf + 0 567.876 * * [simplify]: Extracting #1: cost 3 inf + 0 567.876 * * [simplify]: Extracting #2: cost 6 inf + 0 567.876 * * [simplify]: Extracting #3: cost 56 inf + 0 567.877 * * [simplify]: Extracting #4: cost 130 inf + 0 567.877 * * [simplify]: Extracting #5: cost 207 inf + 0 567.878 * * [simplify]: Extracting #6: cost 301 inf + 86 567.879 * * [simplify]: Extracting #7: cost 261 inf + 4807 567.883 * * [simplify]: Extracting #8: cost 169 inf + 27339 567.892 * * [simplify]: Extracting #9: cost 96 inf + 56124 567.905 * * [simplify]: Extracting #10: cost 49 inf + 75120 567.925 * * [simplify]: Extracting #11: cost 13 inf + 111380 567.952 * * [simplify]: Extracting #12: cost 0 inf + 127625 567.978 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) 567.978 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 567.978 * * * * [progress]: [ 1931 / 5906 ] simplifiying candidate # 567.979 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 567.979 * * [simplify]: iters left: 6 (53 enodes) 567.992 * * [simplify]: iters left: 5 (264 enodes) 568.050 * * [simplify]: Extracting #0: cost 1 inf + 0 568.050 * * [simplify]: Extracting #1: cost 3 inf + 0 568.050 * * [simplify]: Extracting #2: cost 6 inf + 0 568.050 * * [simplify]: Extracting #3: cost 60 inf + 0 568.050 * * [simplify]: Extracting #4: cost 153 inf + 0 568.051 * * [simplify]: Extracting #5: cost 221 inf + 44 568.052 * * [simplify]: Extracting #6: cost 271 inf + 5731 568.055 * * [simplify]: Extracting #7: cost 240 inf + 11319 568.059 * * [simplify]: Extracting #8: cost 166 inf + 26401 568.069 * * [simplify]: Extracting #9: cost 90 inf + 60445 568.083 * * [simplify]: Extracting #10: cost 48 inf + 79004 568.106 * * [simplify]: Extracting #11: cost 11 inf + 116887 568.132 * * [simplify]: Extracting #12: cost 0 inf + 129042 568.157 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 568.157 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 568.158 * * * * [progress]: [ 1932 / 5906 ] simplifiying candidate # 568.158 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 568.158 * * [simplify]: iters left: 6 (53 enodes) 568.172 * * [simplify]: iters left: 5 (264 enodes) 568.228 * * [simplify]: Extracting #0: cost 1 inf + 0 568.228 * * [simplify]: Extracting #1: cost 3 inf + 0 568.228 * * [simplify]: Extracting #2: cost 6 inf + 0 568.228 * * [simplify]: Extracting #3: cost 62 inf + 0 568.229 * * [simplify]: Extracting #4: cost 151 inf + 0 568.229 * * [simplify]: Extracting #5: cost 216 inf + 86 568.231 * * [simplify]: Extracting #6: cost 274 inf + 4756 568.233 * * [simplify]: Extracting #7: cost 239 inf + 10912 568.237 * * [simplify]: Extracting #8: cost 174 inf + 23480 568.244 * * [simplify]: Extracting #9: cost 119 inf + 43097 568.259 * * [simplify]: Extracting #10: cost 47 inf + 78821 568.279 * * [simplify]: Extracting #11: cost 12 inf + 114414 568.304 * * [simplify]: Extracting #12: cost 0 inf + 127994 568.330 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 568.330 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 568.331 * * * * [progress]: [ 1933 / 5906 ] simplifiying candidate # 568.331 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 568.331 * * [simplify]: iters left: 6 (47 enodes) 568.344 * * [simplify]: iters left: 5 (228 enodes) 568.392 * * [simplify]: Extracting #0: cost 1 inf + 0 568.392 * * [simplify]: Extracting #1: cost 3 inf + 0 568.392 * * [simplify]: Extracting #2: cost 6 inf + 0 568.392 * * [simplify]: Extracting #3: cost 54 inf + 0 568.392 * * [simplify]: Extracting #4: cost 119 inf + 0 568.393 * * [simplify]: Extracting #5: cost 164 inf + 86 568.394 * * [simplify]: Extracting #6: cost 239 inf + 1435 568.395 * * [simplify]: Extracting #7: cost 210 inf + 5863 568.399 * * [simplify]: Extracting #8: cost 141 inf + 22756 568.407 * * [simplify]: Extracting #9: cost 68 inf + 48799 568.422 * * [simplify]: Extracting #10: cost 12 inf + 92008 568.445 * * [simplify]: Extracting #11: cost 1 inf + 102308 568.465 * * [simplify]: Extracting #12: cost 0 inf + 104133 568.486 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 568.486 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 568.486 * * * * [progress]: [ 1934 / 5906 ] simplifiying candidate # 568.487 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 568.487 * * [simplify]: iters left: 6 (52 enodes) 568.500 * * [simplify]: iters left: 5 (256 enodes) 568.554 * * [simplify]: Extracting #0: cost 1 inf + 0 568.554 * * [simplify]: Extracting #1: cost 3 inf + 0 568.554 * * [simplify]: Extracting #2: cost 10 inf + 0 568.554 * * [simplify]: Extracting #3: cost 74 inf + 0 568.555 * * [simplify]: Extracting #4: cost 137 inf + 1 568.555 * * [simplify]: Extracting #5: cost 187 inf + 207 568.556 * * [simplify]: Extracting #6: cost 262 inf + 2364 568.558 * * [simplify]: Extracting #7: cost 228 inf + 8002 568.561 * * [simplify]: Extracting #8: cost 176 inf + 18319 568.567 * * [simplify]: Extracting #9: cost 117 inf + 37909 568.579 * * [simplify]: Extracting #10: cost 44 inf + 74633 568.601 * * [simplify]: Extracting #11: cost 5 inf + 112899 568.626 * * [simplify]: Extracting #12: cost 1 inf + 118959 568.650 * * [simplify]: Extracting #13: cost 0 inf + 121024 568.677 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 568.677 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 568.677 * * * * [progress]: [ 1935 / 5906 ] simplifiying candidate # 568.678 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 568.678 * * [simplify]: iters left: 6 (47 enodes) 568.689 * * [simplify]: iters left: 5 (228 enodes) 568.735 * * [simplify]: Extracting #0: cost 1 inf + 0 568.735 * * [simplify]: Extracting #1: cost 3 inf + 0 568.735 * * [simplify]: Extracting #2: cost 10 inf + 0 568.735 * * [simplify]: Extracting #3: cost 66 inf + 0 568.735 * * [simplify]: Extracting #4: cost 117 inf + 44 568.736 * * [simplify]: Extracting #5: cost 153 inf + 820 568.737 * * [simplify]: Extracting #6: cost 228 inf + 2972 568.738 * * [simplify]: Extracting #7: cost 221 inf + 4276 568.741 * * [simplify]: Extracting #8: cost 145 inf + 20719 568.750 * * [simplify]: Extracting #9: cost 60 inf + 54637 568.765 * * [simplify]: Extracting #10: cost 10 inf + 90293 568.787 * * [simplify]: Extracting #11: cost 1 inf + 99358 568.807 * * [simplify]: Extracting #12: cost 0 inf + 101183 568.828 * * [simplify]: Extracting #13: cost 0 inf + 101103 568.848 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2)))))) (+ phi1 phi2))))) 568.848 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 568.849 * * * * [progress]: [ 1936 / 5906 ] simplifiying candidate # 568.849 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 568.850 * * [simplify]: iters left: 6 (52 enodes) 568.862 * * [simplify]: iters left: 5 (256 enodes) 568.916 * * [simplify]: Extracting #0: cost 1 inf + 0 568.916 * * [simplify]: Extracting #1: cost 3 inf + 0 568.916 * * [simplify]: Extracting #2: cost 10 inf + 0 568.916 * * [simplify]: Extracting #3: cost 74 inf + 0 568.916 * * [simplify]: Extracting #4: cost 137 inf + 1 568.917 * * [simplify]: Extracting #5: cost 187 inf + 207 568.917 * * [simplify]: Extracting #6: cost 266 inf + 1556 568.919 * * [simplify]: Extracting #7: cost 234 inf + 6470 568.922 * * [simplify]: Extracting #8: cost 176 inf + 18269 568.928 * * [simplify]: Extracting #9: cost 117 inf + 38229 568.942 * * [simplify]: Extracting #10: cost 44 inf + 75513 568.963 * * [simplify]: Extracting #11: cost 5 inf + 113859 568.989 * * [simplify]: Extracting #12: cost 1 inf + 119919 569.013 * * [simplify]: Extracting #13: cost 0 inf + 121984 569.038 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 569.038 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 569.039 * * * * [progress]: [ 1937 / 5906 ] simplifiying candidate # 569.039 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 569.039 * * [simplify]: iters left: 6 (47 enodes) 569.052 * * [simplify]: iters left: 5 (228 enodes) 569.096 * * [simplify]: Extracting #0: cost 1 inf + 0 569.096 * * [simplify]: Extracting #1: cost 3 inf + 0 569.096 * * [simplify]: Extracting #2: cost 10 inf + 0 569.096 * * [simplify]: Extracting #3: cost 65 inf + 0 569.097 * * [simplify]: Extracting #4: cost 116 inf + 86 569.097 * * [simplify]: Extracting #5: cost 144 inf + 2038 569.098 * * [simplify]: Extracting #6: cost 228 inf + 2932 569.100 * * [simplify]: Extracting #7: cost 220 inf + 4318 569.103 * * [simplify]: Extracting #8: cost 148 inf + 20433 569.110 * * [simplify]: Extracting #9: cost 75 inf + 46187 569.128 * * [simplify]: Extracting #10: cost 11 inf + 90050 569.148 * * [simplify]: Extracting #11: cost 1 inf + 99758 569.169 * * [simplify]: Extracting #12: cost 0 inf + 101583 569.190 * * [simplify]: Extracting #13: cost 0 inf + 101503 569.210 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2)))))) (+ phi1 phi2))))) 569.210 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 569.211 * * * * [progress]: [ 1938 / 5906 ] simplifiying candidate # 569.211 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 569.212 * * [simplify]: iters left: 6 (52 enodes) 569.226 * * [simplify]: iters left: 5 (254 enodes) 569.278 * * [simplify]: Extracting #0: cost 1 inf + 0 569.278 * * [simplify]: Extracting #1: cost 3 inf + 0 569.278 * * [simplify]: Extracting #2: cost 6 inf + 0 569.278 * * [simplify]: Extracting #3: cost 56 inf + 0 569.278 * * [simplify]: Extracting #4: cost 130 inf + 0 569.279 * * [simplify]: Extracting #5: cost 210 inf + 0 569.280 * * [simplify]: Extracting #6: cost 296 inf + 86 569.281 * * [simplify]: Extracting #7: cost 254 inf + 5053 569.289 * * [simplify]: Extracting #8: cost 146 inf + 30962 569.300 * * [simplify]: Extracting #9: cost 58 inf + 64951 569.319 * * [simplify]: Extracting #10: cost 11 inf + 112021 569.344 * * [simplify]: Extracting #11: cost 1 inf + 124031 569.368 * * [simplify]: Extracting #12: cost 0 inf + 126096 569.394 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 569.394 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 569.395 * * * * [progress]: [ 1939 / 5906 ] simplifiying candidate # 569.395 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 569.396 * * [simplify]: iters left: 6 (53 enodes) 569.409 * * [simplify]: iters left: 5 (263 enodes) 569.465 * * [simplify]: Extracting #0: cost 1 inf + 0 569.465 * * [simplify]: Extracting #1: cost 3 inf + 0 569.465 * * [simplify]: Extracting #2: cost 6 inf + 0 569.466 * * [simplify]: Extracting #3: cost 60 inf + 0 569.466 * * [simplify]: Extracting #4: cost 153 inf + 0 569.466 * * [simplify]: Extracting #5: cost 224 inf + 44 569.468 * * [simplify]: Extracting #6: cost 275 inf + 3751 569.470 * * [simplify]: Extracting #7: cost 229 inf + 11852 569.474 * * [simplify]: Extracting #8: cost 172 inf + 22370 569.481 * * [simplify]: Extracting #9: cost 116 inf + 40948 569.493 * * [simplify]: Extracting #10: cost 54 inf + 73548 569.514 * * [simplify]: Extracting #11: cost 6 inf + 122323 569.539 * * [simplify]: Extracting #12: cost 0 inf + 129153 569.565 * * [simplify]: Extracting #13: cost 0 inf + 129113 569.590 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 569.591 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 569.591 * * * * [progress]: [ 1940 / 5906 ] simplifiying candidate # 569.591 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 569.592 * * [simplify]: iters left: 6 (53 enodes) 569.605 * * [simplify]: iters left: 5 (263 enodes) 569.663 * * [simplify]: Extracting #0: cost 1 inf + 0 569.663 * * [simplify]: Extracting #1: cost 3 inf + 0 569.663 * * [simplify]: Extracting #2: cost 6 inf + 0 569.663 * * [simplify]: Extracting #3: cost 62 inf + 0 569.663 * * [simplify]: Extracting #4: cost 151 inf + 0 569.664 * * [simplify]: Extracting #5: cost 220 inf + 44 569.665 * * [simplify]: Extracting #6: cost 267 inf + 4679 569.668 * * [simplify]: Extracting #7: cost 204 inf + 16139 569.674 * * [simplify]: Extracting #8: cost 147 inf + 33101 569.684 * * [simplify]: Extracting #9: cost 95 inf + 55446 569.696 * * [simplify]: Extracting #10: cost 50 inf + 74657 569.719 * * [simplify]: Extracting #11: cost 9 inf + 116760 569.744 * * [simplify]: Extracting #12: cost 0 inf + 126945 569.769 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 569.769 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 569.770 * * * * [progress]: [ 1941 / 5906 ] simplifiying candidate # 569.770 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 569.770 * * [simplify]: iters left: 6 (47 enodes) 569.782 * * [simplify]: iters left: 5 (227 enodes) 569.829 * * [simplify]: Extracting #0: cost 1 inf + 0 569.829 * * [simplify]: Extracting #1: cost 3 inf + 0 569.829 * * [simplify]: Extracting #2: cost 6 inf + 0 569.829 * * [simplify]: Extracting #3: cost 54 inf + 0 569.830 * * [simplify]: Extracting #4: cost 119 inf + 0 569.830 * * [simplify]: Extracting #5: cost 168 inf + 44 569.831 * * [simplify]: Extracting #6: cost 233 inf + 1638 569.832 * * [simplify]: Extracting #7: cost 203 inf + 6069 569.836 * * [simplify]: Extracting #8: cost 132 inf + 21888 569.844 * * [simplify]: Extracting #9: cost 68 inf + 49194 569.858 * * [simplify]: Extracting #10: cost 24 inf + 79430 569.876 * * [simplify]: Extracting #11: cost 1 inf + 100699 569.900 * * [simplify]: Extracting #12: cost 0 inf + 102444 569.921 * * [simplify]: Extracting #13: cost 0 inf + 102324 569.943 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 569.943 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 569.944 * * * * [progress]: [ 1942 / 5906 ] simplifiying candidate # 569.944 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 569.944 * * [simplify]: iters left: 6 (52 enodes) 569.957 * * [simplify]: iters left: 5 (255 enodes) 570.010 * * [simplify]: Extracting #0: cost 1 inf + 0 570.010 * * [simplify]: Extracting #1: cost 3 inf + 0 570.010 * * [simplify]: Extracting #2: cost 10 inf + 0 570.010 * * [simplify]: Extracting #3: cost 74 inf + 0 570.011 * * [simplify]: Extracting #4: cost 137 inf + 1 570.011 * * [simplify]: Extracting #5: cost 189 inf + 248 570.012 * * [simplify]: Extracting #6: cost 250 inf + 3698 570.014 * * [simplify]: Extracting #7: cost 225 inf + 7721 570.018 * * [simplify]: Extracting #8: cost 144 inf + 26644 570.027 * * [simplify]: Extracting #9: cost 65 inf + 58503 570.045 * * [simplify]: Extracting #10: cost 16 inf + 102737 570.071 * * [simplify]: Extracting #11: cost 0 inf + 119655 570.096 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 570.096 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 570.097 * * * * [progress]: [ 1943 / 5906 ] simplifiying candidate # 570.097 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 570.097 * * [simplify]: iters left: 6 (47 enodes) 570.109 * * [simplify]: iters left: 5 (227 enodes) 570.156 * * [simplify]: Extracting #0: cost 1 inf + 0 570.156 * * [simplify]: Extracting #1: cost 3 inf + 0 570.156 * * [simplify]: Extracting #2: cost 10 inf + 0 570.156 * * [simplify]: Extracting #3: cost 66 inf + 0 570.156 * * [simplify]: Extracting #4: cost 117 inf + 44 570.157 * * [simplify]: Extracting #5: cost 156 inf + 820 570.158 * * [simplify]: Extracting #6: cost 223 inf + 2972 570.159 * * [simplify]: Extracting #7: cost 216 inf + 4398 570.162 * * [simplify]: Extracting #8: cost 140 inf + 20667 570.171 * * [simplify]: Extracting #9: cost 59 inf + 53629 570.186 * * [simplify]: Extracting #10: cost 14 inf + 84799 570.206 * * [simplify]: Extracting #11: cost 1 inf + 96909 570.226 * * [simplify]: Extracting #12: cost 0 inf + 98694 570.249 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))))))) 570.249 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 570.250 * * * * [progress]: [ 1944 / 5906 ] simplifiying candidate # 570.250 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 570.250 * * [simplify]: iters left: 6 (52 enodes) 570.264 * * [simplify]: iters left: 5 (255 enodes) 570.318 * * [simplify]: Extracting #0: cost 1 inf + 0 570.318 * * [simplify]: Extracting #1: cost 3 inf + 0 570.318 * * [simplify]: Extracting #2: cost 10 inf + 0 570.318 * * [simplify]: Extracting #3: cost 74 inf + 0 570.318 * * [simplify]: Extracting #4: cost 137 inf + 1 570.319 * * [simplify]: Extracting #5: cost 189 inf + 248 570.320 * * [simplify]: Extracting #6: cost 257 inf + 2125 570.321 * * [simplify]: Extracting #7: cost 230 inf + 6631 570.325 * * [simplify]: Extracting #8: cost 150 inf + 24207 570.332 * * [simplify]: Extracting #9: cost 79 inf + 48316 570.350 * * [simplify]: Extracting #10: cost 17 inf + 102573 570.374 * * [simplify]: Extracting #11: cost 0 inf + 120615 570.399 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 570.399 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 570.399 * * * * [progress]: [ 1945 / 5906 ] simplifiying candidate # 570.401 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 570.402 * * [simplify]: iters left: 6 (47 enodes) 570.413 * * [simplify]: iters left: 5 (227 enodes) 570.457 * * [simplify]: Extracting #0: cost 1 inf + 0 570.457 * * [simplify]: Extracting #1: cost 3 inf + 0 570.457 * * [simplify]: Extracting #2: cost 10 inf + 0 570.457 * * [simplify]: Extracting #3: cost 65 inf + 0 570.457 * * [simplify]: Extracting #4: cost 114 inf + 370 570.458 * * [simplify]: Extracting #5: cost 149 inf + 1674 570.459 * * [simplify]: Extracting #6: cost 223 inf + 2932 570.460 * * [simplify]: Extracting #7: cost 216 inf + 4358 570.463 * * [simplify]: Extracting #8: cost 149 inf + 16805 570.472 * * [simplify]: Extracting #9: cost 81 inf + 40413 570.485 * * [simplify]: Extracting #10: cost 28 inf + 73241 570.503 * * [simplify]: Extracting #11: cost 3 inf + 94019 570.522 * * [simplify]: Extracting #12: cost 1 inf + 97549 570.543 * * [simplify]: Extracting #13: cost 0 inf + 99334 570.564 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) 570.564 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 570.565 * * * * [progress]: [ 1946 / 5906 ] simplifiying candidate # 570.565 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 570.565 * * [simplify]: iters left: 6 (52 enodes) 570.580 * * [simplify]: iters left: 5 (255 enodes) 570.633 * * [simplify]: Extracting #0: cost 1 inf + 0 570.633 * * [simplify]: Extracting #1: cost 3 inf + 0 570.633 * * [simplify]: Extracting #2: cost 6 inf + 0 570.633 * * [simplify]: Extracting #3: cost 56 inf + 0 570.633 * * [simplify]: Extracting #4: cost 130 inf + 0 570.633 * * [simplify]: Extracting #5: cost 209 inf + 0 570.634 * * [simplify]: Extracting #6: cost 288 inf + 298 570.636 * * [simplify]: Extracting #7: cost 248 inf + 6686 570.643 * * [simplify]: Extracting #8: cost 124 inf + 40333 570.656 * * [simplify]: Extracting #9: cost 45 inf + 73665 570.675 * * [simplify]: Extracting #10: cost 10 inf + 113609 570.700 * * [simplify]: Extracting #11: cost 0 inf + 124979 570.725 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 570.725 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 570.726 * * * * [progress]: [ 1947 / 5906 ] simplifiying candidate # 570.726 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 570.726 * * [simplify]: iters left: 6 (53 enodes) 570.742 * * [simplify]: iters left: 5 (264 enodes) 570.796 * * [simplify]: Extracting #0: cost 1 inf + 0 570.796 * * [simplify]: Extracting #1: cost 3 inf + 0 570.796 * * [simplify]: Extracting #2: cost 6 inf + 0 570.796 * * [simplify]: Extracting #3: cost 60 inf + 0 570.797 * * [simplify]: Extracting #4: cost 153 inf + 0 570.797 * * [simplify]: Extracting #5: cost 223 inf + 44 570.799 * * [simplify]: Extracting #6: cost 263 inf + 4399 570.801 * * [simplify]: Extracting #7: cost 227 inf + 11121 570.809 * * [simplify]: Extracting #8: cost 142 inf + 31942 570.820 * * [simplify]: Extracting #9: cost 52 inf + 72372 570.841 * * [simplify]: Extracting #10: cost 7 inf + 118581 570.867 * * [simplify]: Extracting #11: cost 0 inf + 127916 570.893 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 570.893 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 570.894 * * * * [progress]: [ 1948 / 5906 ] simplifiying candidate # 570.894 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 570.894 * * [simplify]: iters left: 6 (53 enodes) 570.909 * * [simplify]: iters left: 5 (264 enodes) 570.963 * * [simplify]: Extracting #0: cost 1 inf + 0 570.963 * * [simplify]: Extracting #1: cost 3 inf + 0 570.963 * * [simplify]: Extracting #2: cost 6 inf + 0 570.964 * * [simplify]: Extracting #3: cost 62 inf + 0 570.964 * * [simplify]: Extracting #4: cost 151 inf + 0 570.964 * * [simplify]: Extracting #5: cost 219 inf + 44 570.966 * * [simplify]: Extracting #6: cost 256 inf + 5245 570.971 * * [simplify]: Extracting #7: cost 221 inf + 12044 570.977 * * [simplify]: Extracting #8: cost 122 inf + 40727 570.988 * * [simplify]: Extracting #9: cost 54 inf + 69621 571.008 * * [simplify]: Extracting #10: cost 9 inf + 116603 571.033 * * [simplify]: Extracting #11: cost 0 inf + 126628 571.058 * * [simplify]: Extracting #12: cost 0 inf + 125668 571.083 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 571.084 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 571.084 * * * * [progress]: [ 1949 / 5906 ] simplifiying candidate # 571.084 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 571.085 * * [simplify]: iters left: 6 (47 enodes) 571.096 * * [simplify]: iters left: 5 (228 enodes) 571.144 * * [simplify]: Extracting #0: cost 1 inf + 0 571.144 * * [simplify]: Extracting #1: cost 3 inf + 0 571.144 * * [simplify]: Extracting #2: cost 6 inf + 0 571.144 * * [simplify]: Extracting #3: cost 54 inf + 0 571.144 * * [simplify]: Extracting #4: cost 119 inf + 0 571.145 * * [simplify]: Extracting #5: cost 167 inf + 44 571.146 * * [simplify]: Extracting #6: cost 224 inf + 1801 571.147 * * [simplify]: Extracting #7: cost 210 inf + 4482 571.149 * * [simplify]: Extracting #8: cost 172 inf + 9279 571.154 * * [simplify]: Extracting #9: cost 114 inf + 28021 571.164 * * [simplify]: Extracting #10: cost 48 inf + 60097 571.181 * * [simplify]: Extracting #11: cost 3 inf + 96572 571.202 * * [simplify]: Extracting #12: cost 1 inf + 100342 571.222 * * [simplify]: Extracting #13: cost 0 inf + 102247 571.244 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) 571.245 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 571.245 * * * * [progress]: [ 1950 / 5906 ] simplifiying candidate # 571.245 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 571.246 * * [simplify]: iters left: 6 (52 enodes) 571.259 * * [simplify]: iters left: 5 (256 enodes) 571.314 * * [simplify]: Extracting #0: cost 1 inf + 0 571.314 * * [simplify]: Extracting #1: cost 3 inf + 0 571.314 * * [simplify]: Extracting #2: cost 10 inf + 0 571.314 * * [simplify]: Extracting #3: cost 74 inf + 0 571.315 * * [simplify]: Extracting #4: cost 137 inf + 1 571.315 * * [simplify]: Extracting #5: cost 188 inf + 248 571.316 * * [simplify]: Extracting #6: cost 249 inf + 2967 571.318 * * [simplify]: Extracting #7: cost 208 inf + 9740 571.321 * * [simplify]: Extracting #8: cost 161 inf + 18431 571.327 * * [simplify]: Extracting #9: cost 110 inf + 38643 571.338 * * [simplify]: Extracting #10: cost 54 inf + 63491 571.357 * * [simplify]: Extracting #11: cost 8 inf + 106498 571.380 * * [simplify]: Extracting #12: cost 1 inf + 116233 571.404 * * [simplify]: Extracting #13: cost 0 inf + 118298 571.431 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 571.431 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 571.432 * * * * [progress]: [ 1951 / 5906 ] simplifiying candidate # 571.432 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 571.433 * * [simplify]: iters left: 6 (47 enodes) 571.448 * * [simplify]: iters left: 5 (228 enodes) 571.494 * * [simplify]: Extracting #0: cost 1 inf + 0 571.494 * * [simplify]: Extracting #1: cost 3 inf + 0 571.494 * * [simplify]: Extracting #2: cost 10 inf + 0 571.494 * * [simplify]: Extracting #3: cost 66 inf + 0 571.495 * * [simplify]: Extracting #4: cost 117 inf + 44 571.495 * * [simplify]: Extracting #5: cost 151 inf + 1228 571.496 * * [simplify]: Extracting #6: cost 216 inf + 2932 571.497 * * [simplify]: Extracting #7: cost 206 inf + 4684 571.500 * * [simplify]: Extracting #8: cost 144 inf + 18652 571.509 * * [simplify]: Extracting #9: cost 57 inf + 54055 571.524 * * [simplify]: Extracting #10: cost 16 inf + 83248 571.543 * * [simplify]: Extracting #11: cost 1 inf + 96192 571.563 * * [simplify]: Extracting #12: cost 0 inf + 98017 571.583 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) 571.583 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 571.585 * * * * [progress]: [ 1952 / 5906 ] simplifiying candidate # 571.585 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 571.585 * * [simplify]: iters left: 6 (52 enodes) 571.598 * * [simplify]: iters left: 5 (256 enodes) 571.649 * * [simplify]: Extracting #0: cost 1 inf + 0 571.649 * * [simplify]: Extracting #1: cost 3 inf + 0 571.649 * * [simplify]: Extracting #2: cost 10 inf + 0 571.650 * * [simplify]: Extracting #3: cost 74 inf + 0 571.650 * * [simplify]: Extracting #4: cost 137 inf + 1 571.650 * * [simplify]: Extracting #5: cost 188 inf + 248 571.654 * * [simplify]: Extracting #6: cost 254 inf + 1517 571.656 * * [simplify]: Extracting #7: cost 212 inf + 8972 571.659 * * [simplify]: Extracting #8: cost 162 inf + 17947 571.664 * * [simplify]: Extracting #9: cost 111 inf + 38159 571.674 * * [simplify]: Extracting #10: cost 55 inf + 63786 571.693 * * [simplify]: Extracting #11: cost 8 inf + 107458 571.716 * * [simplify]: Extracting #12: cost 1 inf + 117193 571.742 * * [simplify]: Extracting #13: cost 0 inf + 119258 571.766 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 571.767 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 571.767 * * * * [progress]: [ 1953 / 5906 ] simplifiying candidate # 571.768 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 571.768 * * [simplify]: iters left: 6 (47 enodes) 571.780 * * [simplify]: iters left: 5 (228 enodes) 571.824 * * [simplify]: Extracting #0: cost 1 inf + 0 571.824 * * [simplify]: Extracting #1: cost 3 inf + 0 571.824 * * [simplify]: Extracting #2: cost 10 inf + 0 571.824 * * [simplify]: Extracting #3: cost 65 inf + 0 571.826 * * [simplify]: Extracting #4: cost 116 inf + 86 571.827 * * [simplify]: Extracting #5: cost 149 inf + 1552 571.828 * * [simplify]: Extracting #6: cost 216 inf + 2932 571.829 * * [simplify]: Extracting #7: cost 207 inf + 4402 571.831 * * [simplify]: Extracting #8: cost 171 inf + 10236 571.836 * * [simplify]: Extracting #9: cost 109 inf + 31469 571.846 * * [simplify]: Extracting #10: cost 35 inf + 64231 571.862 * * [simplify]: Extracting #11: cost 10 inf + 86727 571.881 * * [simplify]: Extracting #12: cost 1 inf + 96752 571.901 * * [simplify]: Extracting #13: cost 0 inf + 98577 571.922 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) 571.922 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 571.922 * * * * [progress]: [ 1954 / 5906 ] simplifiying candidate # 571.923 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 571.923 * * [simplify]: iters left: 6 (48 enodes) 571.935 * * [simplify]: iters left: 5 (228 enodes) 571.980 * * [simplify]: Extracting #0: cost 1 inf + 0 571.980 * * [simplify]: Extracting #1: cost 3 inf + 0 571.980 * * [simplify]: Extracting #2: cost 6 inf + 0 571.980 * * [simplify]: Extracting #3: cost 48 inf + 0 571.981 * * [simplify]: Extracting #4: cost 112 inf + 0 571.981 * * [simplify]: Extracting #5: cost 178 inf + 0 571.982 * * [simplify]: Extracting #6: cost 240 inf + 298 571.983 * * [simplify]: Extracting #7: cost 208 inf + 4114 571.985 * * [simplify]: Extracting #8: cost 151 inf + 13787 571.992 * * [simplify]: Extracting #9: cost 91 inf + 32901 572.001 * * [simplify]: Extracting #10: cost 38 inf + 59496 572.020 * * [simplify]: Extracting #11: cost 1 inf + 96061 572.040 * * [simplify]: Extracting #12: cost 0 inf + 97806 572.060 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 572.060 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 572.061 * * * * [progress]: [ 1955 / 5906 ] simplifiying candidate # 572.061 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 572.062 * * [simplify]: iters left: 6 (49 enodes) 572.074 * * [simplify]: iters left: 5 (237 enodes) 572.122 * * [simplify]: Extracting #0: cost 1 inf + 0 572.122 * * [simplify]: Extracting #1: cost 3 inf + 0 572.122 * * [simplify]: Extracting #2: cost 6 inf + 0 572.122 * * [simplify]: Extracting #3: cost 52 inf + 0 572.122 * * [simplify]: Extracting #4: cost 135 inf + 0 572.123 * * [simplify]: Extracting #5: cost 191 inf + 85 572.124 * * [simplify]: Extracting #6: cost 211 inf + 5610 572.126 * * [simplify]: Extracting #7: cost 185 inf + 11079 572.129 * * [simplify]: Extracting #8: cost 145 inf + 17261 572.135 * * [simplify]: Extracting #9: cost 89 inf + 37305 572.144 * * [simplify]: Extracting #10: cost 39 inf + 60311 572.163 * * [simplify]: Extracting #11: cost 5 inf + 92818 572.182 * * [simplify]: Extracting #12: cost 1 inf + 98638 572.202 * * [simplify]: Extracting #13: cost 0 inf + 100503 572.222 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ phi1 phi2)) (- phi1 phi2)))))) 572.222 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ phi1 phi2)) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 572.222 * * * * [progress]: [ 1956 / 5906 ] simplifiying candidate # 572.223 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 572.223 * * [simplify]: iters left: 6 (49 enodes) 572.235 * * [simplify]: iters left: 5 (237 enodes) 572.283 * * [simplify]: Extracting #0: cost 1 inf + 0 572.283 * * [simplify]: Extracting #1: cost 3 inf + 0 572.283 * * [simplify]: Extracting #2: cost 6 inf + 0 572.283 * * [simplify]: Extracting #3: cost 54 inf + 0 572.284 * * [simplify]: Extracting #4: cost 133 inf + 0 572.284 * * [simplify]: Extracting #5: cost 185 inf + 288 572.285 * * [simplify]: Extracting #6: cost 202 inf + 6256 572.288 * * [simplify]: Extracting #7: cost 184 inf + 10474 572.291 * * [simplify]: Extracting #8: cost 140 inf + 17516 572.296 * * [simplify]: Extracting #9: cost 82 inf + 40563 572.305 * * [simplify]: Extracting #10: cost 45 inf + 55650 572.322 * * [simplify]: Extracting #11: cost 9 inf + 86630 572.341 * * [simplify]: Extracting #12: cost 0 inf + 96935 572.361 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))))))) 572.361 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 572.362 * * * * [progress]: [ 1957 / 5906 ] simplifiying candidate # 572.362 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 572.363 * * [simplify]: iters left: 6 (43 enodes) 572.374 * * [simplify]: iters left: 5 (200 enodes) 572.415 * * [simplify]: iters left: 4 (499 enodes) 572.571 * * [simplify]: Extracting #0: cost 1 inf + 0 572.571 * * [simplify]: Extracting #1: cost 3 inf + 0 572.571 * * [simplify]: Extracting #2: cost 16 inf + 0 572.571 * * [simplify]: Extracting #3: cost 155 inf + 0 572.572 * * [simplify]: Extracting #4: cost 341 inf + 167 572.574 * * [simplify]: Extracting #5: cost 397 inf + 3055 572.577 * * [simplify]: Extracting #6: cost 490 inf + 8856 572.581 * * [simplify]: Extracting #7: cost 538 inf + 14009 572.587 * * [simplify]: Extracting #8: cost 470 inf + 25323 572.612 * * [simplify]: Extracting #9: cost 290 inf + 111871 572.670 * * [simplify]: Extracting #10: cost 15 inf + 257298 572.736 * * [simplify]: Extracting #11: cost 0 inf + 259687 572.799 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) 572.799 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 572.799 * * * * [progress]: [ 1958 / 5906 ] simplifiying candidate # 572.800 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 572.800 * * [simplify]: iters left: 6 (48 enodes) 572.813 * * [simplify]: iters left: 5 (228 enodes) 572.856 * * [simplify]: Extracting #0: cost 1 inf + 0 572.856 * * [simplify]: Extracting #1: cost 3 inf + 0 572.856 * * [simplify]: Extracting #2: cost 10 inf + 0 572.857 * * [simplify]: Extracting #3: cost 62 inf + 0 572.857 * * [simplify]: Extracting #4: cost 115 inf + 42 572.857 * * [simplify]: Extracting #5: cost 155 inf + 207 572.858 * * [simplify]: Extracting #6: cost 200 inf + 2242 572.859 * * [simplify]: Extracting #7: cost 173 inf + 7937 572.862 * * [simplify]: Extracting #8: cost 129 inf + 16495 572.867 * * [simplify]: Extracting #9: cost 77 inf + 37347 572.878 * * [simplify]: Extracting #10: cost 29 inf + 58285 572.893 * * [simplify]: Extracting #11: cost 3 inf + 85415 572.910 * * [simplify]: Extracting #12: cost 0 inf + 89970 572.928 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 572.928 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 572.929 * * * * [progress]: [ 1959 / 5906 ] simplifiying candidate # 572.929 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 572.929 * * [simplify]: iters left: 6 (43 enodes) 572.940 * * [simplify]: iters left: 5 (200 enodes) 572.979 * * [simplify]: iters left: 4 (480 enodes) 573.127 * * [simplify]: Extracting #0: cost 1 inf + 0 573.127 * * [simplify]: Extracting #1: cost 3 inf + 0 573.127 * * [simplify]: Extracting #2: cost 12 inf + 0 573.127 * * [simplify]: Extracting #3: cost 109 inf + 0 573.128 * * [simplify]: Extracting #4: cost 242 inf + 44 573.129 * * [simplify]: Extracting #5: cost 341 inf + 1839 573.132 * * [simplify]: Extracting #6: cost 435 inf + 6754 573.136 * * [simplify]: Extracting #7: cost 489 inf + 10699 573.146 * * [simplify]: Extracting #8: cost 322 inf + 58067 573.183 * * [simplify]: Extracting #9: cost 64 inf + 176492 573.230 * * [simplify]: Extracting #10: cost 3 inf + 211817 573.279 * * [simplify]: Extracting #11: cost 0 inf + 214137 573.328 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 573.329 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 573.329 * * * * [progress]: [ 1960 / 5906 ] simplifiying candidate # 573.329 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 573.330 * * [simplify]: iters left: 6 (48 enodes) 573.343 * * [simplify]: iters left: 5 (228 enodes) 573.385 * * [simplify]: Extracting #0: cost 1 inf + 0 573.385 * * [simplify]: Extracting #1: cost 3 inf + 0 573.385 * * [simplify]: Extracting #2: cost 10 inf + 0 573.386 * * [simplify]: Extracting #3: cost 62 inf + 0 573.386 * * [simplify]: Extracting #4: cost 115 inf + 42 573.386 * * [simplify]: Extracting #5: cost 154 inf + 249 573.387 * * [simplify]: Extracting #6: cost 201 inf + 2322 573.388 * * [simplify]: Extracting #7: cost 172 inf + 8559 573.391 * * [simplify]: Extracting #8: cost 133 inf + 15827 573.396 * * [simplify]: Extracting #9: cost 77 inf + 37944 573.405 * * [simplify]: Extracting #10: cost 28 inf + 59790 573.422 * * [simplify]: Extracting #11: cost 3 inf + 86055 573.440 * * [simplify]: Extracting #12: cost 0 inf + 90610 573.458 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 573.458 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 573.458 * * * * [progress]: [ 1961 / 5906 ] simplifiying candidate # 573.459 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 573.459 * * [simplify]: iters left: 6 (43 enodes) 573.470 * * [simplify]: iters left: 5 (200 enodes) 573.508 * * [simplify]: iters left: 4 (480 enodes) 573.658 * * [simplify]: Extracting #0: cost 1 inf + 0 573.658 * * [simplify]: Extracting #1: cost 3 inf + 0 573.658 * * [simplify]: Extracting #2: cost 12 inf + 0 573.659 * * [simplify]: Extracting #3: cost 106 inf + 0 573.659 * * [simplify]: Extracting #4: cost 250 inf + 44 573.661 * * [simplify]: Extracting #5: cost 348 inf + 1796 573.663 * * [simplify]: Extracting #6: cost 443 inf + 6468 573.667 * * [simplify]: Extracting #7: cost 493 inf + 11626 573.674 * * [simplify]: Extracting #8: cost 400 inf + 34485 573.697 * * [simplify]: Extracting #9: cost 212 inf + 112656 573.731 * * [simplify]: Extracting #10: cost 42 inf + 182012 573.777 * * [simplify]: Extracting #11: cost 2 inf + 214345 573.826 * * [simplify]: Extracting #12: cost 0 inf + 216755 573.874 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 573.874 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 573.875 * * * * [progress]: [ 1962 / 5906 ] simplifiying candidate # 573.875 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 573.875 * * [simplify]: iters left: 6 (50 enodes) 573.889 * * [simplify]: iters left: 5 (240 enodes) 573.938 * * [simplify]: Extracting #0: cost 1 inf + 0 573.938 * * [simplify]: Extracting #1: cost 3 inf + 0 573.938 * * [simplify]: Extracting #2: cost 6 inf + 0 573.938 * * [simplify]: Extracting #3: cost 57 inf + 0 573.938 * * [simplify]: Extracting #4: cost 128 inf + 0 573.939 * * [simplify]: Extracting #5: cost 192 inf + 0 573.940 * * [simplify]: Extracting #6: cost 261 inf + 86 573.941 * * [simplify]: Extracting #7: cost 230 inf + 3950 573.945 * * [simplify]: Extracting #8: cost 128 inf + 27967 573.957 * * [simplify]: Extracting #9: cost 46 inf + 67281 573.975 * * [simplify]: Extracting #10: cost 7 inf + 102262 573.996 * * [simplify]: Extracting #11: cost 1 inf + 109892 574.017 * * [simplify]: Extracting #12: cost 0 inf + 111677 574.039 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 574.039 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 574.040 * * * * [progress]: [ 1963 / 5906 ] simplifiying candidate # 574.040 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 574.040 * * [simplify]: iters left: 6 (51 enodes) 574.055 * * [simplify]: iters left: 5 (249 enodes) 574.104 * * [simplify]: Extracting #0: cost 1 inf + 0 574.104 * * [simplify]: Extracting #1: cost 3 inf + 0 574.104 * * [simplify]: Extracting #2: cost 6 inf + 0 574.104 * * [simplify]: Extracting #3: cost 61 inf + 0 574.104 * * [simplify]: Extracting #4: cost 151 inf + 0 574.105 * * [simplify]: Extracting #5: cost 206 inf + 44 574.105 * * [simplify]: Extracting #6: cost 247 inf + 2939 574.108 * * [simplify]: Extracting #7: cost 200 inf + 11200 574.112 * * [simplify]: Extracting #8: cost 127 inf + 30349 574.123 * * [simplify]: Extracting #9: cost 65 inf + 56520 574.135 * * [simplify]: Extracting #10: cost 35 inf + 77019 574.154 * * [simplify]: Extracting #11: cost 5 inf + 107009 574.176 * * [simplify]: Extracting #12: cost 0 inf + 114694 574.198 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 574.198 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 574.199 * * * * [progress]: [ 1964 / 5906 ] simplifiying candidate # 574.199 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 574.199 * * [simplify]: iters left: 6 (51 enodes) 574.214 * * [simplify]: iters left: 5 (249 enodes) 574.265 * * [simplify]: Extracting #0: cost 1 inf + 0 574.265 * * [simplify]: Extracting #1: cost 3 inf + 0 574.265 * * [simplify]: Extracting #2: cost 6 inf + 0 574.265 * * [simplify]: Extracting #3: cost 63 inf + 0 574.265 * * [simplify]: Extracting #4: cost 149 inf + 0 574.266 * * [simplify]: Extracting #5: cost 202 inf + 44 574.267 * * [simplify]: Extracting #6: cost 239 inf + 3106 574.269 * * [simplify]: Extracting #7: cost 201 inf + 10470 574.273 * * [simplify]: Extracting #8: cost 154 inf + 21424 574.282 * * [simplify]: Extracting #9: cost 96 inf + 45565 574.299 * * [simplify]: Extracting #10: cost 9 inf + 101783 574.321 * * [simplify]: Extracting #11: cost 0 inf + 112246 574.343 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 574.343 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 574.344 * * * * [progress]: [ 1965 / 5906 ] simplifiying candidate # 574.344 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 574.344 * * [simplify]: iters left: 6 (45 enodes) 574.356 * * [simplify]: iters left: 5 (213 enodes) 574.397 * * [simplify]: Extracting #0: cost 1 inf + 0 574.397 * * [simplify]: Extracting #1: cost 3 inf + 0 574.397 * * [simplify]: Extracting #2: cost 6 inf + 0 574.397 * * [simplify]: Extracting #3: cost 55 inf + 0 574.397 * * [simplify]: Extracting #4: cost 117 inf + 0 574.398 * * [simplify]: Extracting #5: cost 151 inf + 2 574.398 * * [simplify]: Extracting #6: cost 210 inf + 416 574.399 * * [simplify]: Extracting #7: cost 185 inf + 3754 574.402 * * [simplify]: Extracting #8: cost 151 inf + 9751 574.406 * * [simplify]: Extracting #9: cost 104 inf + 27268 574.414 * * [simplify]: Extracting #10: cost 51 inf + 47656 574.429 * * [simplify]: Extracting #11: cost 4 inf + 85725 574.448 * * [simplify]: Extracting #12: cost 0 inf + 89825 574.468 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (- (* phi1 phi1) (* phi2 phi2))))))) 574.468 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 574.469 * * * * [progress]: [ 1966 / 5906 ] simplifiying candidate # 574.469 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 574.469 * * [simplify]: iters left: 6 (50 enodes) 574.482 * * [simplify]: iters left: 5 (241 enodes) 574.531 * * [simplify]: Extracting #0: cost 1 inf + 0 574.531 * * [simplify]: Extracting #1: cost 3 inf + 0 574.531 * * [simplify]: Extracting #2: cost 10 inf + 0 574.532 * * [simplify]: Extracting #3: cost 75 inf + 0 574.532 * * [simplify]: Extracting #4: cost 142 inf + 1 574.532 * * [simplify]: Extracting #5: cost 179 inf + 207 574.533 * * [simplify]: Extracting #6: cost 232 inf + 1717 574.535 * * [simplify]: Extracting #7: cost 210 inf + 5392 574.538 * * [simplify]: Extracting #8: cost 143 inf + 20958 574.547 * * [simplify]: Extracting #9: cost 62 inf + 59917 574.566 * * [simplify]: Extracting #10: cost 8 inf + 101775 574.587 * * [simplify]: Extracting #11: cost 1 inf + 109626 574.608 * * [simplify]: Extracting #12: cost 0 inf + 111411 574.631 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 574.631 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 574.631 * * * * [progress]: [ 1967 / 5906 ] simplifiying candidate # 574.631 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 574.632 * * [simplify]: iters left: 6 (45 enodes) 574.643 * * [simplify]: iters left: 5 (213 enodes) 574.682 * * [simplify]: Extracting #0: cost 1 inf + 0 574.682 * * [simplify]: Extracting #1: cost 3 inf + 0 574.682 * * [simplify]: Extracting #2: cost 10 inf + 0 574.683 * * [simplify]: Extracting #3: cost 67 inf + 0 574.683 * * [simplify]: Extracting #4: cost 121 inf + 86 574.683 * * [simplify]: Extracting #5: cost 134 inf + 2282 574.684 * * [simplify]: Extracting #6: cost 195 inf + 2932 574.686 * * [simplify]: Extracting #7: cost 187 inf + 4599 574.689 * * [simplify]: Extracting #8: cost 133 inf + 18190 574.700 * * [simplify]: Extracting #9: cost 48 inf + 59354 574.717 * * [simplify]: Extracting #10: cost 5 inf + 87643 574.734 * * [simplify]: Extracting #11: cost 0 inf + 90770 574.752 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) 574.752 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 574.752 * * * * [progress]: [ 1968 / 5906 ] simplifiying candidate # 574.753 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 574.753 * * [simplify]: iters left: 6 (50 enodes) 574.766 * * [simplify]: iters left: 5 (241 enodes) 574.814 * * [simplify]: Extracting #0: cost 1 inf + 0 574.814 * * [simplify]: Extracting #1: cost 3 inf + 0 574.814 * * [simplify]: Extracting #2: cost 10 inf + 0 574.814 * * [simplify]: Extracting #3: cost 75 inf + 0 574.814 * * [simplify]: Extracting #4: cost 142 inf + 1 574.815 * * [simplify]: Extracting #5: cost 179 inf + 207 574.816 * * [simplify]: Extracting #6: cost 231 inf + 2201 574.817 * * [simplify]: Extracting #7: cost 202 inf + 7398 574.820 * * [simplify]: Extracting #8: cost 140 inf + 22005 574.829 * * [simplify]: Extracting #9: cost 62 inf + 59837 574.847 * * [simplify]: Extracting #10: cost 8 inf + 102575 574.871 * * [simplify]: Extracting #11: cost 1 inf + 110586 574.893 * * [simplify]: Extracting #12: cost 0 inf + 112371 574.914 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 574.914 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 574.915 * * * * [progress]: [ 1969 / 5906 ] simplifiying candidate # 574.915 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 574.915 * * [simplify]: iters left: 6 (45 enodes) 574.926 * * [simplify]: iters left: 5 (213 enodes) 574.967 * * [simplify]: Extracting #0: cost 1 inf + 0 574.967 * * [simplify]: Extracting #1: cost 3 inf + 0 574.967 * * [simplify]: Extracting #2: cost 10 inf + 0 574.967 * * [simplify]: Extracting #3: cost 66 inf + 0 574.968 * * [simplify]: Extracting #4: cost 122 inf + 44 574.968 * * [simplify]: Extracting #5: cost 143 inf + 985 574.969 * * [simplify]: Extracting #6: cost 195 inf + 2932 574.970 * * [simplify]: Extracting #7: cost 186 inf + 4762 574.973 * * [simplify]: Extracting #8: cost 131 inf + 18718 574.982 * * [simplify]: Extracting #9: cost 45 inf + 61588 574.999 * * [simplify]: Extracting #10: cost 3 inf + 88969 575.017 * * [simplify]: Extracting #11: cost 0 inf + 91170 575.035 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) 575.035 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 575.035 * * * * [progress]: [ 1970 / 5906 ] simplifiying candidate # 575.036 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 575.036 * * [simplify]: iters left: 6 (51 enodes) 575.051 * * [simplify]: iters left: 5 (244 enodes) 575.099 * * [simplify]: Extracting #0: cost 1 inf + 0 575.099 * * [simplify]: Extracting #1: cost 3 inf + 0 575.099 * * [simplify]: Extracting #2: cost 6 inf + 0 575.099 * * [simplify]: Extracting #3: cost 56 inf + 0 575.099 * * [simplify]: Extracting #4: cost 130 inf + 0 575.100 * * [simplify]: Extracting #5: cost 200 inf + 0 575.100 * * [simplify]: Extracting #6: cost 256 inf + 822 575.102 * * [simplify]: Extracting #7: cost 195 inf + 10268 575.106 * * [simplify]: Extracting #8: cost 129 inf + 28971 575.118 * * [simplify]: Extracting #9: cost 54 inf + 59623 575.130 * * [simplify]: Extracting #10: cost 36 inf + 72353 575.148 * * [simplify]: Extracting #11: cost 6 inf + 105983 575.171 * * [simplify]: Extracting #12: cost 1 inf + 113388 575.195 * * [simplify]: Extracting #13: cost 0 inf + 115373 575.219 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 575.219 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 575.220 * * * * [progress]: [ 1971 / 5906 ] simplifiying candidate # 575.220 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 575.220 * * [simplify]: iters left: 6 (52 enodes) 575.233 * * [simplify]: iters left: 5 (253 enodes) 575.286 * * [simplify]: Extracting #0: cost 1 inf + 0 575.286 * * [simplify]: Extracting #1: cost 3 inf + 0 575.286 * * [simplify]: Extracting #2: cost 6 inf + 0 575.286 * * [simplify]: Extracting #3: cost 60 inf + 0 575.286 * * [simplify]: Extracting #4: cost 153 inf + 0 575.287 * * [simplify]: Extracting #5: cost 214 inf + 44 575.288 * * [simplify]: Extracting #6: cost 224 inf + 6591 575.292 * * [simplify]: Extracting #7: cost 171 inf + 18836 575.298 * * [simplify]: Extracting #8: cost 135 inf + 33736 575.306 * * [simplify]: Extracting #9: cost 95 inf + 51070 575.317 * * [simplify]: Extracting #10: cost 47 inf + 69935 575.334 * * [simplify]: Extracting #11: cost 14 inf + 100960 575.357 * * [simplify]: Extracting #12: cost 1 inf + 117605 575.386 * * [simplify]: Extracting #13: cost 0 inf + 119350 575.410 * * [simplify]: Extracting #14: cost 0 inf + 119310 575.432 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 575.432 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 575.433 * * * * [progress]: [ 1972 / 5906 ] simplifiying candidate # 575.433 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 575.433 * * [simplify]: iters left: 6 (52 enodes) 575.446 * * [simplify]: iters left: 5 (253 enodes) 575.498 * * [simplify]: Extracting #0: cost 1 inf + 0 575.498 * * [simplify]: Extracting #1: cost 3 inf + 0 575.498 * * [simplify]: Extracting #2: cost 6 inf + 0 575.498 * * [simplify]: Extracting #3: cost 62 inf + 0 575.498 * * [simplify]: Extracting #4: cost 151 inf + 0 575.499 * * [simplify]: Extracting #5: cost 210 inf + 44 575.501 * * [simplify]: Extracting #6: cost 222 inf + 7387 575.504 * * [simplify]: Extracting #7: cost 176 inf + 17576 575.510 * * [simplify]: Extracting #8: cost 135 inf + 34208 575.518 * * [simplify]: Extracting #9: cost 88 inf + 51271 575.529 * * [simplify]: Extracting #10: cost 42 inf + 70492 575.550 * * [simplify]: Extracting #11: cost 10 inf + 103932 575.572 * * [simplify]: Extracting #12: cost 1 inf + 115077 575.595 * * [simplify]: Extracting #13: cost 0 inf + 117182 575.618 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2))))))) 575.618 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 575.619 * * * * [progress]: [ 1973 / 5906 ] simplifiying candidate # 575.619 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 575.619 * * [simplify]: iters left: 6 (46 enodes) 575.631 * * [simplify]: iters left: 5 (217 enodes) 575.673 * * [simplify]: Extracting #0: cost 1 inf + 0 575.673 * * [simplify]: Extracting #1: cost 3 inf + 0 575.673 * * [simplify]: Extracting #2: cost 6 inf + 0 575.673 * * [simplify]: Extracting #3: cost 54 inf + 0 575.673 * * [simplify]: Extracting #4: cost 119 inf + 0 575.674 * * [simplify]: Extracting #5: cost 157 inf + 85 575.674 * * [simplify]: Extracting #6: cost 193 inf + 2453 575.676 * * [simplify]: Extracting #7: cost 167 inf + 6682 575.679 * * [simplify]: Extracting #8: cost 142 inf + 14589 575.684 * * [simplify]: Extracting #9: cost 96 inf + 34130 575.692 * * [simplify]: Extracting #10: cost 47 inf + 50479 575.702 * * [simplify]: Extracting #11: cost 29 inf + 61676 575.721 * * [simplify]: Extracting #12: cost 4 inf + 88301 575.740 * * [simplify]: Extracting #13: cost 0 inf + 94161 575.758 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))))) 575.758 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 575.759 * * * * [progress]: [ 1974 / 5906 ] simplifiying candidate # 575.759 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 575.759 * * [simplify]: iters left: 6 (51 enodes) 575.772 * * [simplify]: iters left: 5 (245 enodes) 575.820 * * [simplify]: Extracting #0: cost 1 inf + 0 575.820 * * [simplify]: Extracting #1: cost 3 inf + 0 575.820 * * [simplify]: Extracting #2: cost 10 inf + 0 575.821 * * [simplify]: Extracting #3: cost 74 inf + 0 575.821 * * [simplify]: Extracting #4: cost 137 inf + 1 575.821 * * [simplify]: Extracting #5: cost 179 inf + 249 575.822 * * [simplify]: Extracting #6: cost 213 inf + 3147 575.825 * * [simplify]: Extracting #7: cost 168 inf + 16577 575.831 * * [simplify]: Extracting #8: cost 98 inf + 43685 575.841 * * [simplify]: Extracting #9: cost 45 inf + 65087 575.858 * * [simplify]: Extracting #10: cost 6 inf + 99502 575.879 * * [simplify]: Extracting #11: cost 1 inf + 106907 575.903 * * [simplify]: Extracting #12: cost 0 inf + 108492 575.924 * * [simplify]: Extracting #13: cost 0 inf + 108452 575.945 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) 575.945 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 575.946 * * * * [progress]: [ 1975 / 5906 ] simplifiying candidate # 575.946 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 575.946 * * [simplify]: iters left: 6 (46 enodes) 575.958 * * [simplify]: iters left: 5 (217 enodes) 576.001 * * [simplify]: Extracting #0: cost 1 inf + 0 576.001 * * [simplify]: Extracting #1: cost 3 inf + 0 576.001 * * [simplify]: Extracting #2: cost 10 inf + 0 576.001 * * [simplify]: Extracting #3: cost 66 inf + 0 576.001 * * [simplify]: Extracting #4: cost 117 inf + 44 576.002 * * [simplify]: Extracting #5: cost 146 inf + 660 576.003 * * [simplify]: Extracting #6: cost 187 inf + 3180 576.004 * * [simplify]: Extracting #7: cost 166 inf + 7119 576.008 * * [simplify]: Extracting #8: cost 130 inf + 20342 576.015 * * [simplify]: Extracting #9: cost 87 inf + 36720 576.023 * * [simplify]: Extracting #10: cost 41 inf + 51866 576.035 * * [simplify]: Extracting #11: cost 11 inf + 74856 576.051 * * [simplify]: Extracting #12: cost 3 inf + 84056 576.071 * * [simplify]: Extracting #13: cost 1 inf + 87466 576.088 * * [simplify]: Extracting #14: cost 0 inf + 89211 576.105 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2)))))) 576.105 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 576.106 * * * * [progress]: [ 1976 / 5906 ] simplifiying candidate # 576.106 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 576.106 * * [simplify]: iters left: 6 (51 enodes) 576.119 * * [simplify]: iters left: 5 (245 enodes) 576.168 * * [simplify]: Extracting #0: cost 1 inf + 0 576.168 * * [simplify]: Extracting #1: cost 3 inf + 0 576.168 * * [simplify]: Extracting #2: cost 10 inf + 0 576.168 * * [simplify]: Extracting #3: cost 74 inf + 0 576.168 * * [simplify]: Extracting #4: cost 137 inf + 1 576.169 * * [simplify]: Extracting #5: cost 180 inf + 207 576.170 * * [simplify]: Extracting #6: cost 213 inf + 3307 576.173 * * [simplify]: Extracting #7: cost 164 inf + 17213 576.178 * * [simplify]: Extracting #8: cost 124 inf + 35051 576.185 * * [simplify]: Extracting #9: cost 91 inf + 46028 576.195 * * [simplify]: Extracting #10: cost 45 inf + 66047 576.212 * * [simplify]: Extracting #11: cost 6 inf + 100462 576.235 * * [simplify]: Extracting #12: cost 1 inf + 107867 576.256 * * [simplify]: Extracting #13: cost 0 inf + 109452 576.278 * * [simplify]: Extracting #14: cost 0 inf + 109412 576.299 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 576.299 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 576.299 * * * * [progress]: [ 1977 / 5906 ] simplifiying candidate # 576.300 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 576.300 * * [simplify]: iters left: 6 (46 enodes) 576.312 * * [simplify]: iters left: 5 (217 enodes) 576.355 * * [simplify]: Extracting #0: cost 1 inf + 0 576.355 * * [simplify]: Extracting #1: cost 3 inf + 0 576.355 * * [simplify]: Extracting #2: cost 10 inf + 0 576.355 * * [simplify]: Extracting #3: cost 65 inf + 0 576.355 * * [simplify]: Extracting #4: cost 117 inf + 44 576.356 * * [simplify]: Extracting #5: cost 144 inf + 945 576.357 * * [simplify]: Extracting #6: cost 189 inf + 2896 576.358 * * [simplify]: Extracting #7: cost 169 inf + 6513 576.361 * * [simplify]: Extracting #8: cost 132 inf + 19494 576.367 * * [simplify]: Extracting #9: cost 83 inf + 38379 576.376 * * [simplify]: Extracting #10: cost 32 inf + 57051 576.390 * * [simplify]: Extracting #11: cost 6 inf + 80861 576.408 * * [simplify]: Extracting #12: cost 1 inf + 88626 576.425 * * [simplify]: Extracting #13: cost 0 inf + 90371 576.442 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2)))))) 576.442 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 576.442 * * * * [progress]: [ 1978 / 5906 ] simplifiying candidate # 576.443 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 576.443 * * [simplify]: iters left: 6 (48 enodes) 576.455 * * [simplify]: iters left: 5 (231 enodes) 576.503 * * [simplify]: Extracting #0: cost 1 inf + 0 576.503 * * [simplify]: Extracting #1: cost 3 inf + 0 576.503 * * [simplify]: Extracting #2: cost 6 inf + 0 576.503 * * [simplify]: Extracting #3: cost 54 inf + 0 576.503 * * [simplify]: Extracting #4: cost 120 inf + 0 576.504 * * [simplify]: Extracting #5: cost 186 inf + 0 576.504 * * [simplify]: Extracting #6: cost 249 inf + 86 576.505 * * [simplify]: Extracting #7: cost 213 inf + 4599 576.508 * * [simplify]: Extracting #8: cost 158 inf + 14420 576.513 * * [simplify]: Extracting #9: cost 91 inf + 36153 576.522 * * [simplify]: Extracting #10: cost 51 inf + 54245 576.533 * * [simplify]: Extracting #11: cost 32 inf + 69000 576.551 * * [simplify]: Extracting #12: cost 2 inf + 100790 576.574 * * [simplify]: Extracting #13: cost 0 inf + 104320 576.594 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) 576.594 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 576.594 * * * * [progress]: [ 1979 / 5906 ] simplifiying candidate # 576.595 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 576.595 * * [simplify]: iters left: 6 (49 enodes) 576.607 * * [simplify]: iters left: 5 (240 enodes) 576.659 * * [simplify]: Extracting #0: cost 1 inf + 0 576.659 * * [simplify]: Extracting #1: cost 3 inf + 0 576.659 * * [simplify]: Extracting #2: cost 6 inf + 0 576.660 * * [simplify]: Extracting #3: cost 58 inf + 0 576.660 * * [simplify]: Extracting #4: cost 143 inf + 0 576.660 * * [simplify]: Extracting #5: cost 198 inf + 126 576.662 * * [simplify]: Extracting #6: cost 212 inf + 7302 576.664 * * [simplify]: Extracting #7: cost 187 inf + 12835 576.668 * * [simplify]: Extracting #8: cost 129 inf + 22971 576.675 * * [simplify]: Extracting #9: cost 73 inf + 45758 576.691 * * [simplify]: Extracting #10: cost 10 inf + 96870 576.712 * * [simplify]: Extracting #11: cost 0 inf + 107177 576.735 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) 576.735 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 576.736 * * * * [progress]: [ 1980 / 5906 ] simplifiying candidate # 576.736 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 576.736 * * [simplify]: iters left: 6 (49 enodes) 576.749 * * [simplify]: iters left: 5 (240 enodes) 576.797 * * [simplify]: Extracting #0: cost 1 inf + 0 576.797 * * [simplify]: Extracting #1: cost 3 inf + 0 576.798 * * [simplify]: Extracting #2: cost 6 inf + 0 576.798 * * [simplify]: Extracting #3: cost 60 inf + 0 576.798 * * [simplify]: Extracting #4: cost 141 inf + 0 576.799 * * [simplify]: Extracting #5: cost 193 inf + 208 576.800 * * [simplify]: Extracting #6: cost 214 inf + 5729 576.805 * * [simplify]: Extracting #7: cost 188 inf + 11543 576.808 * * [simplify]: Extracting #8: cost 133 inf + 22657 576.815 * * [simplify]: Extracting #9: cost 72 inf + 45294 576.826 * * [simplify]: Extracting #10: cost 36 inf + 66290 576.842 * * [simplify]: Extracting #11: cost 5 inf + 96764 576.861 * * [simplify]: Extracting #12: cost 0 inf + 103409 576.881 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))))))) 576.881 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 576.882 * * * * [progress]: [ 1981 / 5906 ] simplifiying candidate # 576.882 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 576.882 * * [simplify]: iters left: 6 (43 enodes) 576.895 * * [simplify]: iters left: 5 (204 enodes) 576.935 * * [simplify]: Extracting #0: cost 1 inf + 0 576.935 * * [simplify]: Extracting #1: cost 3 inf + 0 576.935 * * [simplify]: Extracting #2: cost 6 inf + 0 576.935 * * [simplify]: Extracting #3: cost 52 inf + 0 576.936 * * [simplify]: Extracting #4: cost 109 inf + 0 576.936 * * [simplify]: Extracting #5: cost 141 inf + 208 576.937 * * [simplify]: Extracting #6: cost 186 inf + 1558 576.939 * * [simplify]: Extracting #7: cost 166 inf + 5128 576.941 * * [simplify]: Extracting #8: cost 140 inf + 9227 576.946 * * [simplify]: Extracting #9: cost 84 inf + 29615 576.955 * * [simplify]: Extracting #10: cost 28 inf + 56084 576.973 * * [simplify]: Extracting #11: cost 2 inf + 79538 576.989 * * [simplify]: Extracting #12: cost 0 inf + 82708 577.006 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))))) (+ phi1 phi2))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))) 577.006 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))))) (+ phi1 phi2))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 577.007 * * * * [progress]: [ 1982 / 5906 ] simplifiying candidate # 577.007 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 577.007 * * [simplify]: iters left: 6 (48 enodes) 577.020 * * [simplify]: iters left: 5 (232 enodes) 577.067 * * [simplify]: Extracting #0: cost 1 inf + 0 577.067 * * [simplify]: Extracting #1: cost 3 inf + 0 577.067 * * [simplify]: Extracting #2: cost 10 inf + 0 577.067 * * [simplify]: Extracting #3: cost 72 inf + 0 577.068 * * [simplify]: Extracting #4: cost 126 inf + 42 577.068 * * [simplify]: Extracting #5: cost 166 inf + 207 577.069 * * [simplify]: Extracting #6: cost 210 inf + 2162 577.070 * * [simplify]: Extracting #7: cost 192 inf + 5970 577.073 * * [simplify]: Extracting #8: cost 148 inf + 13671 577.078 * * [simplify]: Extracting #9: cost 93 inf + 34941 577.086 * * [simplify]: Extracting #10: cost 49 inf + 52494 577.096 * * [simplify]: Extracting #11: cost 32 inf + 64279 577.112 * * [simplify]: Extracting #12: cost 5 inf + 91194 577.132 * * [simplify]: Extracting #13: cost 0 inf + 98319 577.154 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))))))) 577.154 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 577.154 * * * * [progress]: [ 1983 / 5906 ] simplifiying candidate # 577.155 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 577.155 * * [simplify]: iters left: 6 (43 enodes) 577.166 * * [simplify]: iters left: 5 (204 enodes) 577.203 * * [simplify]: Extracting #0: cost 1 inf + 0 577.203 * * [simplify]: Extracting #1: cost 3 inf + 0 577.203 * * [simplify]: Extracting #2: cost 10 inf + 0 577.204 * * [simplify]: Extracting #3: cost 64 inf + 0 577.204 * * [simplify]: Extracting #4: cost 106 inf + 86 577.204 * * [simplify]: Extracting #5: cost 128 inf + 1148 577.205 * * [simplify]: Extracting #6: cost 176 inf + 2932 577.206 * * [simplify]: Extracting #7: cost 171 inf + 4396 577.209 * * [simplify]: Extracting #8: cost 111 inf + 18956 577.218 * * [simplify]: Extracting #9: cost 59 inf + 38550 577.228 * * [simplify]: Extracting #10: cost 21 inf + 61072 577.243 * * [simplify]: Extracting #11: cost 2 inf + 76228 577.260 * * [simplify]: Extracting #12: cost 0 inf + 79318 577.276 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 577.276 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 577.277 * * * * [progress]: [ 1984 / 5906 ] simplifiying candidate # 577.277 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 577.277 * * [simplify]: iters left: 6 (48 enodes) 577.290 * * [simplify]: iters left: 5 (232 enodes) 577.336 * * [simplify]: Extracting #0: cost 1 inf + 0 577.336 * * [simplify]: Extracting #1: cost 3 inf + 0 577.336 * * [simplify]: Extracting #2: cost 10 inf + 0 577.337 * * [simplify]: Extracting #3: cost 72 inf + 0 577.337 * * [simplify]: Extracting #4: cost 126 inf + 42 577.337 * * [simplify]: Extracting #5: cost 165 inf + 249 577.338 * * [simplify]: Extracting #6: cost 210 inf + 2404 577.340 * * [simplify]: Extracting #7: cost 190 inf + 6293 577.342 * * [simplify]: Extracting #8: cost 147 inf + 14334 577.347 * * [simplify]: Extracting #9: cost 94 inf + 34796 577.355 * * [simplify]: Extracting #10: cost 49 inf + 53454 577.365 * * [simplify]: Extracting #11: cost 33 inf + 64414 577.383 * * [simplify]: Extracting #12: cost 5 inf + 92154 577.403 * * [simplify]: Extracting #13: cost 0 inf + 99279 577.423 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))))))) 577.423 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 577.424 * * * * [progress]: [ 1985 / 5906 ] simplifiying candidate # 577.424 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 577.424 * * [simplify]: iters left: 6 (43 enodes) 577.435 * * [simplify]: iters left: 5 (204 enodes) 577.474 * * [simplify]: Extracting #0: cost 1 inf + 0 577.474 * * [simplify]: Extracting #1: cost 3 inf + 0 577.474 * * [simplify]: Extracting #2: cost 10 inf + 0 577.475 * * [simplify]: Extracting #3: cost 63 inf + 0 577.475 * * [simplify]: Extracting #4: cost 107 inf + 44 577.475 * * [simplify]: Extracting #5: cost 127 inf + 1430 577.476 * * [simplify]: Extracting #6: cost 176 inf + 2932 577.477 * * [simplify]: Extracting #7: cost 169 inf + 4760 577.480 * * [simplify]: Extracting #8: cost 111 inf + 19095 577.486 * * [simplify]: Extracting #9: cost 60 inf + 37978 577.496 * * [simplify]: Extracting #10: cost 23 inf + 57689 577.510 * * [simplify]: Extracting #11: cost 3 inf + 75123 577.526 * * [simplify]: Extracting #12: cost 0 inf + 79718 577.542 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (- phi1 phi2))) (- phi1 phi2))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 577.542 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (- phi1 phi2))) (- phi1 phi2))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 577.543 * * * * [progress]: [ 1986 / 5906 ] simplifiying candidate # 577.543 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 577.543 * * [simplify]: iters left: 6 (51 enodes) 577.559 * * [simplify]: iters left: 5 (244 enodes) 577.608 * * [simplify]: Extracting #0: cost 1 inf + 0 577.608 * * [simplify]: Extracting #1: cost 3 inf + 0 577.608 * * [simplify]: Extracting #2: cost 6 inf + 0 577.608 * * [simplify]: Extracting #3: cost 56 inf + 0 577.608 * * [simplify]: Extracting #4: cost 130 inf + 0 577.609 * * [simplify]: Extracting #5: cost 201 inf + 0 577.609 * * [simplify]: Extracting #6: cost 257 inf + 822 577.611 * * [simplify]: Extracting #7: cost 194 inf + 11313 577.615 * * [simplify]: Extracting #8: cost 126 inf + 30015 577.627 * * [simplify]: Extracting #9: cost 58 inf + 58845 577.638 * * [simplify]: Extracting #10: cost 37 inf + 72330 577.658 * * [simplify]: Extracting #11: cost 4 inf + 110395 577.680 * * [simplify]: Extracting #12: cost 0 inf + 117255 577.703 * * [simplify]: Extracting #13: cost 0 inf + 117215 577.726 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 577.726 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 577.726 * * * * [progress]: [ 1987 / 5906 ] simplifiying candidate # 577.727 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 577.727 * * [simplify]: iters left: 6 (52 enodes) 577.741 * * [simplify]: iters left: 5 (253 enodes) 577.790 * * [simplify]: Extracting #0: cost 1 inf + 0 577.790 * * [simplify]: Extracting #1: cost 3 inf + 0 577.790 * * [simplify]: Extracting #2: cost 6 inf + 0 577.790 * * [simplify]: Extracting #3: cost 60 inf + 0 577.791 * * [simplify]: Extracting #4: cost 153 inf + 0 577.791 * * [simplify]: Extracting #5: cost 215 inf + 44 577.793 * * [simplify]: Extracting #6: cost 228 inf + 6265 577.798 * * [simplify]: Extracting #7: cost 173 inf + 18514 577.804 * * [simplify]: Extracting #8: cost 137 inf + 33172 577.811 * * [simplify]: Extracting #9: cost 93 inf + 51420 577.823 * * [simplify]: Extracting #10: cost 38 inf + 76162 577.842 * * [simplify]: Extracting #11: cost 9 inf + 106167 577.866 * * [simplify]: Extracting #12: cost 1 inf + 116487 577.890 * * [simplify]: Extracting #13: cost 0 inf + 118552 577.913 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 577.913 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 577.913 * * * * [progress]: [ 1988 / 5906 ] simplifiying candidate # 577.913 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 577.914 * * [simplify]: iters left: 6 (52 enodes) 577.926 * * [simplify]: iters left: 5 (253 enodes) 577.979 * * [simplify]: Extracting #0: cost 1 inf + 0 577.979 * * [simplify]: Extracting #1: cost 3 inf + 0 577.979 * * [simplify]: Extracting #2: cost 6 inf + 0 577.979 * * [simplify]: Extracting #3: cost 62 inf + 0 577.979 * * [simplify]: Extracting #4: cost 151 inf + 0 577.980 * * [simplify]: Extracting #5: cost 211 inf + 44 577.981 * * [simplify]: Extracting #6: cost 214 inf + 8084 577.985 * * [simplify]: Extracting #7: cost 162 inf + 22976 577.992 * * [simplify]: Extracting #8: cost 121 inf + 41267 578.001 * * [simplify]: Extracting #9: cost 82 inf + 54624 578.018 * * [simplify]: Extracting #10: cost 15 inf + 101969 578.040 * * [simplify]: Extracting #11: cost 1 inf + 115759 578.064 * * [simplify]: Extracting #12: cost 0 inf + 117464 578.087 * * [simplify]: Extracting #13: cost 0 inf + 117424 578.110 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2)))))) 578.110 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 578.111 * * * * [progress]: [ 1989 / 5906 ] simplifiying candidate # 578.111 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 578.111 * * [simplify]: iters left: 6 (46 enodes) 578.122 * * [simplify]: iters left: 5 (217 enodes) 578.166 * * [simplify]: Extracting #0: cost 1 inf + 0 578.166 * * [simplify]: Extracting #1: cost 3 inf + 0 578.166 * * [simplify]: Extracting #2: cost 6 inf + 0 578.166 * * [simplify]: Extracting #3: cost 54 inf + 0 578.166 * * [simplify]: Extracting #4: cost 119 inf + 0 578.166 * * [simplify]: Extracting #5: cost 158 inf + 85 578.167 * * [simplify]: Extracting #6: cost 195 inf + 2371 578.169 * * [simplify]: Extracting #7: cost 169 inf + 6640 578.172 * * [simplify]: Extracting #8: cost 144 inf + 14147 578.178 * * [simplify]: Extracting #9: cost 98 inf + 33024 578.186 * * [simplify]: Extracting #10: cost 48 inf + 50469 578.197 * * [simplify]: Extracting #11: cost 29 inf + 61838 578.212 * * [simplify]: Extracting #12: cost 4 inf + 87663 578.232 * * [simplify]: Extracting #13: cost 0 inf + 93363 578.250 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))))) 578.250 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 578.251 * * * * [progress]: [ 1990 / 5906 ] simplifiying candidate # 578.251 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 578.251 * * [simplify]: iters left: 6 (51 enodes) 578.263 * * [simplify]: iters left: 5 (245 enodes) 578.312 * * [simplify]: Extracting #0: cost 1 inf + 0 578.312 * * [simplify]: Extracting #1: cost 3 inf + 0 578.313 * * [simplify]: Extracting #2: cost 10 inf + 0 578.313 * * [simplify]: Extracting #3: cost 74 inf + 0 578.313 * * [simplify]: Extracting #4: cost 137 inf + 1 578.313 * * [simplify]: Extracting #5: cost 180 inf + 249 578.314 * * [simplify]: Extracting #6: cost 214 inf + 3027 578.317 * * [simplify]: Extracting #7: cost 165 inf + 18348 578.323 * * [simplify]: Extracting #8: cost 125 inf + 33753 578.329 * * [simplify]: Extracting #9: cost 94 inf + 43034 578.338 * * [simplify]: Extracting #10: cost 53 inf + 58249 578.356 * * [simplify]: Extracting #11: cost 5 inf + 101929 578.378 * * [simplify]: Extracting #12: cost 0 inf + 110454 578.402 * * [simplify]: Extracting #13: cost 0 inf + 110054 578.424 * * [simplify]: Extracting #14: cost 0 inf + 110014 578.446 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) 578.446 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 578.447 * * * * [progress]: [ 1991 / 5906 ] simplifiying candidate # 578.447 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 578.447 * * [simplify]: iters left: 6 (46 enodes) 578.458 * * [simplify]: iters left: 5 (217 enodes) 578.503 * * [simplify]: Extracting #0: cost 1 inf + 0 578.503 * * [simplify]: Extracting #1: cost 3 inf + 0 578.503 * * [simplify]: Extracting #2: cost 10 inf + 0 578.503 * * [simplify]: Extracting #3: cost 66 inf + 0 578.504 * * [simplify]: Extracting #4: cost 117 inf + 44 578.504 * * [simplify]: Extracting #5: cost 147 inf + 660 578.505 * * [simplify]: Extracting #6: cost 188 inf + 3180 578.507 * * [simplify]: Extracting #7: cost 168 inf + 6957 578.510 * * [simplify]: Extracting #8: cost 130 inf + 20385 578.516 * * [simplify]: Extracting #9: cost 83 inf + 38209 578.524 * * [simplify]: Extracting #10: cost 41 inf + 52268 578.536 * * [simplify]: Extracting #11: cost 15 inf + 73798 578.553 * * [simplify]: Extracting #12: cost 1 inf + 88108 578.573 * * [simplify]: Extracting #13: cost 0 inf + 89733 578.591 * * [simplify]: Extracting #14: cost 0 inf + 89653 578.608 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2)))))) 578.608 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 578.609 * * * * [progress]: [ 1992 / 5906 ] simplifiying candidate # 578.609 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 578.609 * * [simplify]: iters left: 6 (51 enodes) 578.622 * * [simplify]: iters left: 5 (245 enodes) 578.672 * * [simplify]: Extracting #0: cost 1 inf + 0 578.672 * * [simplify]: Extracting #1: cost 3 inf + 0 578.672 * * [simplify]: Extracting #2: cost 10 inf + 0 578.672 * * [simplify]: Extracting #3: cost 74 inf + 0 578.672 * * [simplify]: Extracting #4: cost 137 inf + 1 578.673 * * [simplify]: Extracting #5: cost 181 inf + 207 578.674 * * [simplify]: Extracting #6: cost 215 inf + 3105 578.677 * * [simplify]: Extracting #7: cost 163 inf + 18653 578.682 * * [simplify]: Extracting #8: cost 124 inf + 34925 578.689 * * [simplify]: Extracting #9: cost 92 inf + 44603 578.698 * * [simplify]: Extracting #10: cost 53 inf + 59209 578.716 * * [simplify]: Extracting #11: cost 6 inf + 101784 578.740 * * [simplify]: Extracting #12: cost 0 inf + 111414 578.762 * * [simplify]: Extracting #13: cost 0 inf + 111014 578.785 * * [simplify]: Extracting #14: cost 0 inf + 110974 578.807 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 578.807 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 578.808 * * * * [progress]: [ 1993 / 5906 ] simplifiying candidate # 578.808 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 578.809 * * [simplify]: iters left: 6 (46 enodes) 578.821 * * [simplify]: iters left: 5 (217 enodes) 578.864 * * [simplify]: Extracting #0: cost 1 inf + 0 578.864 * * [simplify]: Extracting #1: cost 3 inf + 0 578.864 * * [simplify]: Extracting #2: cost 10 inf + 0 578.864 * * [simplify]: Extracting #3: cost 65 inf + 0 578.864 * * [simplify]: Extracting #4: cost 117 inf + 44 578.865 * * [simplify]: Extracting #5: cost 145 inf + 945 578.866 * * [simplify]: Extracting #6: cost 188 inf + 3180 578.867 * * [simplify]: Extracting #7: cost 170 inf + 6473 578.870 * * [simplify]: Extracting #8: cost 132 inf + 19857 578.876 * * [simplify]: Extracting #9: cost 80 inf + 39603 578.885 * * [simplify]: Extracting #10: cost 33 inf + 57228 578.898 * * [simplify]: Extracting #11: cost 12 inf + 76073 578.917 * * [simplify]: Extracting #12: cost 1 inf + 88468 578.935 * * [simplify]: Extracting #13: cost 0 inf + 90133 578.953 * * [simplify]: Extracting #14: cost 0 inf + 90053 578.970 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2)))))) 578.970 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 578.971 * * * * [progress]: [ 1994 / 5906 ] simplifiying candidate # 578.971 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 578.971 * * [simplify]: iters left: 6 (52 enodes) 578.984 * * [simplify]: iters left: 5 (255 enodes) 579.039 * * [simplify]: Extracting #0: cost 1 inf + 0 579.039 * * [simplify]: Extracting #1: cost 3 inf + 0 579.039 * * [simplify]: Extracting #2: cost 6 inf + 0 579.039 * * [simplify]: Extracting #3: cost 56 inf + 0 579.039 * * [simplify]: Extracting #4: cost 130 inf + 0 579.040 * * [simplify]: Extracting #5: cost 207 inf + 0 579.041 * * [simplify]: Extracting #6: cost 293 inf + 335 579.043 * * [simplify]: Extracting #7: cost 235 inf + 9580 579.048 * * [simplify]: Extracting #8: cost 151 inf + 31047 579.056 * * [simplify]: Extracting #9: cost 100 inf + 51603 579.068 * * [simplify]: Extracting #10: cost 51 inf + 70630 579.090 * * [simplify]: Extracting #11: cost 8 inf + 113745 579.115 * * [simplify]: Extracting #12: cost 0 inf + 125145 579.140 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) 579.140 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 579.140 * * * * [progress]: [ 1995 / 5906 ] simplifiying candidate # 579.141 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 579.141 * * [simplify]: iters left: 6 (53 enodes) 579.154 * * [simplify]: iters left: 5 (264 enodes) 579.210 * * [simplify]: Extracting #0: cost 1 inf + 0 579.210 * * [simplify]: Extracting #1: cost 3 inf + 0 579.210 * * [simplify]: Extracting #2: cost 6 inf + 0 579.210 * * [simplify]: Extracting #3: cost 60 inf + 0 579.210 * * [simplify]: Extracting #4: cost 153 inf + 0 579.211 * * [simplify]: Extracting #5: cost 221 inf + 44 579.212 * * [simplify]: Extracting #6: cost 263 inf + 5180 579.215 * * [simplify]: Extracting #7: cost 214 inf + 14834 579.220 * * [simplify]: Extracting #8: cost 158 inf + 29008 579.229 * * [simplify]: Extracting #9: cost 96 inf + 55497 579.244 * * [simplify]: Extracting #10: cost 50 inf + 74434 579.265 * * [simplify]: Extracting #11: cost 7 inf + 117307 579.289 * * [simplify]: Extracting #12: cost 0 inf + 126562 579.314 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 579.314 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 579.314 * * * * [progress]: [ 1996 / 5906 ] simplifiying candidate # 579.314 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 579.315 * * [simplify]: iters left: 6 (53 enodes) 579.328 * * [simplify]: iters left: 5 (264 enodes) 579.386 * * [simplify]: Extracting #0: cost 1 inf + 0 579.386 * * [simplify]: Extracting #1: cost 3 inf + 0 579.386 * * [simplify]: Extracting #2: cost 6 inf + 0 579.386 * * [simplify]: Extracting #3: cost 62 inf + 0 579.387 * * [simplify]: Extracting #4: cost 151 inf + 0 579.387 * * [simplify]: Extracting #5: cost 216 inf + 86 579.389 * * [simplify]: Extracting #6: cost 264 inf + 5370 579.394 * * [simplify]: Extracting #7: cost 208 inf + 16666 579.400 * * [simplify]: Extracting #8: cost 159 inf + 28443 579.412 * * [simplify]: Extracting #9: cost 95 inf + 58935 579.424 * * [simplify]: Extracting #10: cost 49 inf + 74849 579.444 * * [simplify]: Extracting #11: cost 12 inf + 112454 579.468 * * [simplify]: Extracting #12: cost 0 inf + 126154 579.492 * * [simplify]: Extracting #13: cost 0 inf + 125674 579.517 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 579.517 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 579.518 * * * * [progress]: [ 1997 / 5906 ] simplifiying candidate # 579.518 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 579.518 * * [simplify]: iters left: 6 (47 enodes) 579.530 * * [simplify]: iters left: 5 (228 enodes) 579.579 * * [simplify]: Extracting #0: cost 1 inf + 0 579.579 * * [simplify]: Extracting #1: cost 3 inf + 0 579.579 * * [simplify]: Extracting #2: cost 6 inf + 0 579.579 * * [simplify]: Extracting #3: cost 54 inf + 0 579.579 * * [simplify]: Extracting #4: cost 119 inf + 0 579.580 * * [simplify]: Extracting #5: cost 164 inf + 86 579.580 * * [simplify]: Extracting #6: cost 233 inf + 1400 579.582 * * [simplify]: Extracting #7: cost 193 inf + 8818 579.587 * * [simplify]: Extracting #8: cost 120 inf + 28209 579.596 * * [simplify]: Extracting #9: cost 61 inf + 52535 579.612 * * [simplify]: Extracting #10: cost 9 inf + 93048 579.632 * * [simplify]: Extracting #11: cost 1 inf + 99428 579.652 * * [simplify]: Extracting #12: cost 0 inf + 101253 579.672 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (+ phi1 phi2) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ phi1 phi2))))) 579.672 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (+ phi1 phi2) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 579.673 * * * * [progress]: [ 1998 / 5906 ] simplifiying candidate # 579.673 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 579.674 * * [simplify]: iters left: 6 (52 enodes) 579.687 * * [simplify]: iters left: 5 (256 enodes) 579.739 * * [simplify]: Extracting #0: cost 1 inf + 0 579.739 * * [simplify]: Extracting #1: cost 3 inf + 0 579.739 * * [simplify]: Extracting #2: cost 10 inf + 0 579.739 * * [simplify]: Extracting #3: cost 74 inf + 0 579.740 * * [simplify]: Extracting #4: cost 136 inf + 42 579.740 * * [simplify]: Extracting #5: cost 186 inf + 248 579.743 * * [simplify]: Extracting #6: cost 252 inf + 2338 579.746 * * [simplify]: Extracting #7: cost 200 inf + 13430 579.751 * * [simplify]: Extracting #8: cost 144 inf + 32010 579.759 * * [simplify]: Extracting #9: cost 91 inf + 51804 579.770 * * [simplify]: Extracting #10: cost 51 inf + 67669 579.789 * * [simplify]: Extracting #11: cost 6 inf + 107914 579.812 * * [simplify]: Extracting #12: cost 1 inf + 114839 579.835 * * [simplify]: Extracting #13: cost 0 inf + 116864 579.859 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 579.860 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 579.860 * * * * [progress]: [ 1999 / 5906 ] simplifiying candidate # 579.860 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 579.861 * * [simplify]: iters left: 6 (47 enodes) 579.872 * * [simplify]: iters left: 5 (228 enodes) 579.918 * * [simplify]: Extracting #0: cost 1 inf + 0 579.918 * * [simplify]: Extracting #1: cost 3 inf + 0 579.918 * * [simplify]: Extracting #2: cost 10 inf + 0 579.918 * * [simplify]: Extracting #3: cost 66 inf + 0 579.919 * * [simplify]: Extracting #4: cost 117 inf + 44 579.919 * * [simplify]: Extracting #5: cost 149 inf + 1268 579.920 * * [simplify]: Extracting #6: cost 221 inf + 3059 579.922 * * [simplify]: Extracting #7: cost 179 inf + 11565 579.928 * * [simplify]: Extracting #8: cost 106 inf + 38015 579.938 * * [simplify]: Extracting #9: cost 42 inf + 62366 579.955 * * [simplify]: Extracting #10: cost 5 inf + 93724 579.974 * * [simplify]: Extracting #11: cost 1 inf + 95638 579.993 * * [simplify]: Extracting #12: cost 0 inf + 97343 580.015 * * [simplify]: Extracting #13: cost 0 inf + 97263 580.035 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 580.035 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 580.035 * * * * [progress]: [ 2000 / 5906 ] simplifiying candidate # 580.036 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 580.036 * * [simplify]: iters left: 6 (52 enodes) 580.048 * * [simplify]: iters left: 5 (256 enodes) 580.101 * * [simplify]: Extracting #0: cost 1 inf + 0 580.102 * * [simplify]: Extracting #1: cost 3 inf + 0 580.102 * * [simplify]: Extracting #2: cost 10 inf + 0 580.102 * * [simplify]: Extracting #3: cost 74 inf + 0 580.102 * * [simplify]: Extracting #4: cost 136 inf + 42 580.102 * * [simplify]: Extracting #5: cost 186 inf + 248 580.103 * * [simplify]: Extracting #6: cost 254 inf + 2094 580.106 * * [simplify]: Extracting #7: cost 203 inf + 12564 580.110 * * [simplify]: Extracting #8: cost 144 inf + 32029 580.119 * * [simplify]: Extracting #9: cost 90 inf + 52748 580.130 * * [simplify]: Extracting #10: cost 51 inf + 68629 580.149 * * [simplify]: Extracting #11: cost 6 inf + 108874 580.175 * * [simplify]: Extracting #12: cost 1 inf + 115799 580.198 * * [simplify]: Extracting #13: cost 0 inf + 117824 580.222 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 580.222 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 580.223 * * * * [progress]: [ 2001 / 5906 ] simplifiying candidate # 580.223 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 580.223 * * [simplify]: iters left: 6 (47 enodes) 580.235 * * [simplify]: iters left: 5 (228 enodes) 580.281 * * [simplify]: Extracting #0: cost 1 inf + 0 580.281 * * [simplify]: Extracting #1: cost 3 inf + 0 580.281 * * [simplify]: Extracting #2: cost 10 inf + 0 580.281 * * [simplify]: Extracting #3: cost 65 inf + 0 580.281 * * [simplify]: Extracting #4: cost 116 inf + 86 580.282 * * [simplify]: Extracting #5: cost 142 inf + 2282 580.283 * * [simplify]: Extracting #6: cost 221 inf + 3059 580.285 * * [simplify]: Extracting #7: cost 181 inf + 11361 580.291 * * [simplify]: Extracting #8: cost 99 inf + 40974 580.302 * * [simplify]: Extracting #9: cost 39 inf + 63658 580.319 * * [simplify]: Extracting #10: cost 6 inf + 90459 580.339 * * [simplify]: Extracting #11: cost 1 inf + 96038 580.360 * * [simplify]: Extracting #12: cost 0 inf + 97823 580.380 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 580.380 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 580.380 * * * * [progress]: [ 2002 / 5906 ] simplifiying candidate # 580.381 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 580.381 * * [simplify]: iters left: 6 (52 enodes) 580.394 * * [simplify]: iters left: 5 (254 enodes) 580.447 * * [simplify]: Extracting #0: cost 1 inf + 0 580.447 * * [simplify]: Extracting #1: cost 3 inf + 0 580.447 * * [simplify]: Extracting #2: cost 6 inf + 0 580.447 * * [simplify]: Extracting #3: cost 56 inf + 0 580.448 * * [simplify]: Extracting #4: cost 130 inf + 0 580.448 * * [simplify]: Extracting #5: cost 210 inf + 0 580.449 * * [simplify]: Extracting #6: cost 288 inf + 335 580.451 * * [simplify]: Extracting #7: cost 230 inf + 8180 580.455 * * [simplify]: Extracting #8: cost 146 inf + 29484 580.463 * * [simplify]: Extracting #9: cost 96 inf + 50752 580.475 * * [simplify]: Extracting #10: cost 51 inf + 68903 580.494 * * [simplify]: Extracting #11: cost 8 inf + 114096 580.520 * * [simplify]: Extracting #12: cost 1 inf + 122391 580.544 * * [simplify]: Extracting #13: cost 0 inf + 124416 580.569 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) 580.569 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 580.569 * * * * [progress]: [ 2003 / 5906 ] simplifiying candidate # 580.569 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 580.570 * * [simplify]: iters left: 6 (53 enodes) 580.582 * * [simplify]: iters left: 5 (263 enodes) 580.640 * * [simplify]: Extracting #0: cost 1 inf + 0 580.640 * * [simplify]: Extracting #1: cost 3 inf + 0 580.640 * * [simplify]: Extracting #2: cost 6 inf + 0 580.640 * * [simplify]: Extracting #3: cost 60 inf + 0 580.641 * * [simplify]: Extracting #4: cost 153 inf + 0 580.641 * * [simplify]: Extracting #5: cost 224 inf + 44 580.642 * * [simplify]: Extracting #6: cost 267 inf + 3962 580.645 * * [simplify]: Extracting #7: cost 202 inf + 16145 580.653 * * [simplify]: Extracting #8: cost 110 inf + 49713 580.665 * * [simplify]: Extracting #9: cost 50 inf + 73263 580.687 * * [simplify]: Extracting #10: cost 11 inf + 113478 580.711 * * [simplify]: Extracting #11: cost 0 inf + 127433 580.735 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 580.735 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 580.736 * * * * [progress]: [ 2004 / 5906 ] simplifiying candidate # 580.736 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 580.736 * * [simplify]: iters left: 6 (53 enodes) 580.749 * * [simplify]: iters left: 5 (263 enodes) 580.804 * * [simplify]: Extracting #0: cost 1 inf + 0 580.805 * * [simplify]: Extracting #1: cost 3 inf + 0 580.805 * * [simplify]: Extracting #2: cost 6 inf + 0 580.805 * * [simplify]: Extracting #3: cost 62 inf + 0 580.805 * * [simplify]: Extracting #4: cost 151 inf + 0 580.806 * * [simplify]: Extracting #5: cost 220 inf + 44 580.807 * * [simplify]: Extracting #6: cost 261 inf + 4486 580.810 * * [simplify]: Extracting #7: cost 196 inf + 17833 580.817 * * [simplify]: Extracting #8: cost 134 inf + 41342 580.828 * * [simplify]: Extracting #9: cost 99 inf + 53764 580.840 * * [simplify]: Extracting #10: cost 55 inf + 69772 580.853 * * [simplify]: Extracting #11: cost 36 inf + 82765 580.873 * * [simplify]: Extracting #12: cost 4 inf + 118645 580.897 * * [simplify]: Extracting #13: cost 0 inf + 125265 580.922 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 580.922 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 580.923 * * * * [progress]: [ 2005 / 5906 ] simplifiying candidate # 580.924 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 580.924 * * [simplify]: iters left: 6 (47 enodes) 580.937 * * [simplify]: iters left: 5 (227 enodes) 580.981 * * [simplify]: Extracting #0: cost 1 inf + 0 580.981 * * [simplify]: Extracting #1: cost 3 inf + 0 580.981 * * [simplify]: Extracting #2: cost 6 inf + 0 580.981 * * [simplify]: Extracting #3: cost 54 inf + 0 580.981 * * [simplify]: Extracting #4: cost 119 inf + 0 580.982 * * [simplify]: Extracting #5: cost 165 inf + 370 580.982 * * [simplify]: Extracting #6: cost 222 inf + 2654 580.984 * * [simplify]: Extracting #7: cost 186 inf + 8063 580.988 * * [simplify]: Extracting #8: cost 141 inf + 21493 580.997 * * [simplify]: Extracting #9: cost 94 inf + 40695 581.007 * * [simplify]: Extracting #10: cost 42 inf + 59794 581.022 * * [simplify]: Extracting #11: cost 8 inf + 88964 581.041 * * [simplify]: Extracting #12: cost 1 inf + 97739 581.061 * * [simplify]: Extracting #13: cost 0 inf + 99564 581.080 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 581.080 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 581.081 * * * * [progress]: [ 2006 / 5906 ] simplifiying candidate # 581.081 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 581.082 * * [simplify]: iters left: 6 (52 enodes) 581.096 * * [simplify]: iters left: 5 (255 enodes) 581.147 * * [simplify]: Extracting #0: cost 1 inf + 0 581.147 * * [simplify]: Extracting #1: cost 3 inf + 0 581.147 * * [simplify]: Extracting #2: cost 10 inf + 0 581.147 * * [simplify]: Extracting #3: cost 74 inf + 0 581.147 * * [simplify]: Extracting #4: cost 137 inf + 1 581.147 * * [simplify]: Extracting #5: cost 190 inf + 207 581.149 * * [simplify]: Extracting #6: cost 237 inf + 4359 581.153 * * [simplify]: Extracting #7: cost 179 inf + 20987 581.162 * * [simplify]: Extracting #8: cost 100 inf + 48430 581.173 * * [simplify]: Extracting #9: cost 48 inf + 67137 581.191 * * [simplify]: Extracting #10: cost 8 inf + 106495 581.214 * * [simplify]: Extracting #11: cost 0 inf + 115295 581.238 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 581.238 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 581.238 * * * * [progress]: [ 2007 / 5906 ] simplifiying candidate # 581.239 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 581.239 * * [simplify]: iters left: 6 (47 enodes) 581.252 * * [simplify]: iters left: 5 (227 enodes) 581.296 * * [simplify]: Extracting #0: cost 1 inf + 0 581.296 * * [simplify]: Extracting #1: cost 3 inf + 0 581.296 * * [simplify]: Extracting #2: cost 10 inf + 0 581.296 * * [simplify]: Extracting #3: cost 66 inf + 0 581.297 * * [simplify]: Extracting #4: cost 117 inf + 44 581.297 * * [simplify]: Extracting #5: cost 154 inf + 1064 581.298 * * [simplify]: Extracting #6: cost 217 inf + 3057 581.300 * * [simplify]: Extracting #7: cost 180 inf + 9395 581.303 * * [simplify]: Extracting #8: cost 152 inf + 14657 581.308 * * [simplify]: Extracting #9: cost 110 inf + 29291 581.318 * * [simplify]: Extracting #10: cost 30 inf + 66543 581.337 * * [simplify]: Extracting #11: cost 4 inf + 89114 581.355 * * [simplify]: Extracting #12: cost 1 inf + 93549 581.374 * * [simplify]: Extracting #13: cost 0 inf + 95334 581.393 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) 581.393 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 581.394 * * * * [progress]: [ 2008 / 5906 ] simplifiying candidate # 581.394 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 581.395 * * [simplify]: iters left: 6 (52 enodes) 581.408 * * [simplify]: iters left: 5 (255 enodes) 581.460 * * [simplify]: Extracting #0: cost 1 inf + 0 581.460 * * [simplify]: Extracting #1: cost 3 inf + 0 581.460 * * [simplify]: Extracting #2: cost 10 inf + 0 581.460 * * [simplify]: Extracting #3: cost 74 inf + 0 581.461 * * [simplify]: Extracting #4: cost 137 inf + 1 581.461 * * [simplify]: Extracting #5: cost 190 inf + 207 581.462 * * [simplify]: Extracting #6: cost 238 inf + 3755 581.465 * * [simplify]: Extracting #7: cost 187 inf + 17923 581.472 * * [simplify]: Extracting #8: cost 104 inf + 46980 581.483 * * [simplify]: Extracting #9: cost 48 inf + 68097 581.504 * * [simplify]: Extracting #10: cost 7 inf + 108360 581.527 * * [simplify]: Extracting #11: cost 0 inf + 116255 581.550 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 581.550 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 581.551 * * * * [progress]: [ 2009 / 5906 ] simplifiying candidate # 581.551 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 581.551 * * [simplify]: iters left: 6 (47 enodes) 581.564 * * [simplify]: iters left: 5 (227 enodes) 581.609 * * [simplify]: Extracting #0: cost 1 inf + 0 581.609 * * [simplify]: Extracting #1: cost 3 inf + 0 581.609 * * [simplify]: Extracting #2: cost 10 inf + 0 581.609 * * [simplify]: Extracting #3: cost 65 inf + 0 581.609 * * [simplify]: Extracting #4: cost 117 inf + 44 581.610 * * [simplify]: Extracting #5: cost 158 inf + 496 581.611 * * [simplify]: Extracting #6: cost 218 inf + 2855 581.613 * * [simplify]: Extracting #7: cost 176 inf + 10203 581.616 * * [simplify]: Extracting #8: cost 142 inf + 18805 581.622 * * [simplify]: Extracting #9: cost 99 inf + 37932 581.632 * * [simplify]: Extracting #10: cost 40 inf + 60534 581.647 * * [simplify]: Extracting #11: cost 5 inf + 88569 581.668 * * [simplify]: Extracting #12: cost 1 inf + 94109 581.687 * * [simplify]: Extracting #13: cost 0 inf + 95814 581.707 * * [simplify]: Extracting #14: cost 0 inf + 95734 581.725 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) 581.726 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 581.726 * * * * [progress]: [ 2010 / 5906 ] simplifiying candidate # 581.726 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 581.727 * * [simplify]: iters left: 6 (52 enodes) 581.739 * * [simplify]: iters left: 5 (255 enodes) 581.793 * * [simplify]: Extracting #0: cost 1 inf + 0 581.793 * * [simplify]: Extracting #1: cost 3 inf + 0 581.793 * * [simplify]: Extracting #2: cost 6 inf + 0 581.793 * * [simplify]: Extracting #3: cost 56 inf + 0 581.793 * * [simplify]: Extracting #4: cost 130 inf + 0 581.794 * * [simplify]: Extracting #5: cost 210 inf + 0 581.795 * * [simplify]: Extracting #6: cost 283 inf + 213 581.797 * * [simplify]: Extracting #7: cost 228 inf + 7891 581.802 * * [simplify]: Extracting #8: cost 118 inf + 39015 581.815 * * [simplify]: Extracting #9: cost 46 inf + 73296 581.838 * * [simplify]: Extracting #10: cost 2 inf + 119714 581.862 * * [simplify]: Extracting #11: cost 0 inf + 123724 581.887 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 581.887 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 581.888 * * * * [progress]: [ 2011 / 5906 ] simplifiying candidate # 581.888 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 581.889 * * [simplify]: iters left: 6 (53 enodes) 581.902 * * [simplify]: iters left: 5 (264 enodes) 581.958 * * [simplify]: Extracting #0: cost 1 inf + 0 581.958 * * [simplify]: Extracting #1: cost 3 inf + 0 581.958 * * [simplify]: Extracting #2: cost 6 inf + 0 581.958 * * [simplify]: Extracting #3: cost 60 inf + 0 581.958 * * [simplify]: Extracting #4: cost 153 inf + 0 581.959 * * [simplify]: Extracting #5: cost 222 inf + 245 581.960 * * [simplify]: Extracting #6: cost 260 inf + 4201 581.963 * * [simplify]: Extracting #7: cost 196 inf + 15905 581.968 * * [simplify]: Extracting #8: cost 150 inf + 28964 581.977 * * [simplify]: Extracting #9: cost 97 inf + 53289 581.993 * * [simplify]: Extracting #10: cost 39 inf + 82326 582.014 * * [simplify]: Extracting #11: cost 3 inf + 121506 582.038 * * [simplify]: Extracting #12: cost 0 inf + 126901 582.062 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 582.062 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 582.063 * * * * [progress]: [ 2012 / 5906 ] simplifiying candidate # 582.063 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 582.063 * * [simplify]: iters left: 6 (53 enodes) 582.078 * * [simplify]: iters left: 5 (264 enodes) 582.132 * * [simplify]: Extracting #0: cost 1 inf + 0 582.132 * * [simplify]: Extracting #1: cost 3 inf + 0 582.132 * * [simplify]: Extracting #2: cost 6 inf + 0 582.132 * * [simplify]: Extracting #3: cost 62 inf + 0 582.132 * * [simplify]: Extracting #4: cost 151 inf + 0 582.133 * * [simplify]: Extracting #5: cost 220 inf + 44 582.134 * * [simplify]: Extracting #6: cost 245 inf + 5703 582.137 * * [simplify]: Extracting #7: cost 193 inf + 15836 582.146 * * [simplify]: Extracting #8: cost 117 inf + 41284 582.158 * * [simplify]: Extracting #9: cost 51 inf + 71340 582.177 * * [simplify]: Extracting #10: cost 8 inf + 114573 582.202 * * [simplify]: Extracting #11: cost 0 inf + 124413 582.227 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)))) (* (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 582.227 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)))) (* (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 582.227 * * * * [progress]: [ 2013 / 5906 ] simplifiying candidate # 582.228 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 582.228 * * [simplify]: iters left: 6 (47 enodes) 582.241 * * [simplify]: iters left: 5 (228 enodes) 582.285 * * [simplify]: Extracting #0: cost 1 inf + 0 582.285 * * [simplify]: Extracting #1: cost 3 inf + 0 582.285 * * [simplify]: Extracting #2: cost 6 inf + 0 582.285 * * [simplify]: Extracting #3: cost 54 inf + 0 582.286 * * [simplify]: Extracting #4: cost 119 inf + 0 582.286 * * [simplify]: Extracting #5: cost 168 inf + 44 582.287 * * [simplify]: Extracting #6: cost 222 inf + 1801 582.289 * * [simplify]: Extracting #7: cost 179 inf + 8425 582.292 * * [simplify]: Extracting #8: cost 141 inf + 19116 582.299 * * [simplify]: Extracting #9: cost 90 inf + 41458 582.311 * * [simplify]: Extracting #10: cost 48 inf + 55578 582.322 * * [simplify]: Extracting #11: cost 26 inf + 70822 582.340 * * [simplify]: Extracting #12: cost 3 inf + 96717 582.360 * * [simplify]: Extracting #13: cost 1 inf + 100567 582.381 * * [simplify]: Extracting #14: cost 0 inf + 102512 582.401 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 582.401 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 582.401 * * * * [progress]: [ 2014 / 5906 ] simplifiying candidate # 582.402 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 582.402 * * [simplify]: iters left: 6 (52 enodes) 582.416 * * [simplify]: iters left: 5 (256 enodes) 582.467 * * [simplify]: Extracting #0: cost 1 inf + 0 582.467 * * [simplify]: Extracting #1: cost 3 inf + 0 582.467 * * [simplify]: Extracting #2: cost 10 inf + 0 582.467 * * [simplify]: Extracting #3: cost 74 inf + 0 582.468 * * [simplify]: Extracting #4: cost 137 inf + 1 582.468 * * [simplify]: Extracting #5: cost 190 inf + 207 582.469 * * [simplify]: Extracting #6: cost 229 inf + 4521 582.472 * * [simplify]: Extracting #7: cost 189 inf + 12339 582.480 * * [simplify]: Extracting #8: cost 113 inf + 36768 582.490 * * [simplify]: Extracting #9: cost 50 inf + 64574 582.509 * * [simplify]: Extracting #10: cost 8 inf + 104643 582.533 * * [simplify]: Extracting #11: cost 1 inf + 112418 582.556 * * [simplify]: Extracting #12: cost 0 inf + 114443 582.580 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 582.580 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 582.580 * * * * [progress]: [ 2015 / 5906 ] simplifiying candidate # 582.581 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 582.581 * * [simplify]: iters left: 6 (47 enodes) 582.592 * * [simplify]: iters left: 5 (228 enodes) 582.637 * * [simplify]: Extracting #0: cost 1 inf + 0 582.637 * * [simplify]: Extracting #1: cost 3 inf + 0 582.637 * * [simplify]: Extracting #2: cost 10 inf + 0 582.637 * * [simplify]: Extracting #3: cost 66 inf + 0 582.637 * * [simplify]: Extracting #4: cost 117 inf + 44 582.638 * * [simplify]: Extracting #5: cost 152 inf + 1268 582.639 * * [simplify]: Extracting #6: cost 211 inf + 3017 582.640 * * [simplify]: Extracting #7: cost 184 inf + 8095 582.647 * * [simplify]: Extracting #8: cost 117 inf + 26471 582.657 * * [simplify]: Extracting #9: cost 41 inf + 62463 582.673 * * [simplify]: Extracting #10: cost 7 inf + 87975 582.692 * * [simplify]: Extracting #11: cost 1 inf + 93257 582.711 * * [simplify]: Extracting #12: cost 0 inf + 94962 582.730 * * [simplify]: Extracting #13: cost 0 inf + 94882 582.749 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 582.749 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 582.750 * * * * [progress]: [ 2016 / 5906 ] simplifiying candidate # 582.750 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 582.750 * * [simplify]: iters left: 6 (52 enodes) 582.763 * * [simplify]: iters left: 5 (256 enodes) 582.818 * * [simplify]: Extracting #0: cost 1 inf + 0 582.818 * * [simplify]: Extracting #1: cost 3 inf + 0 582.818 * * [simplify]: Extracting #2: cost 10 inf + 0 582.818 * * [simplify]: Extracting #3: cost 74 inf + 0 582.818 * * [simplify]: Extracting #4: cost 137 inf + 1 582.819 * * [simplify]: Extracting #5: cost 190 inf + 207 582.820 * * [simplify]: Extracting #6: cost 235 inf + 3351 582.822 * * [simplify]: Extracting #7: cost 192 inf + 11373 582.828 * * [simplify]: Extracting #8: cost 114 inf + 36704 582.840 * * [simplify]: Extracting #9: cost 51 inf + 64709 582.858 * * [simplify]: Extracting #10: cost 6 inf + 108533 582.882 * * [simplify]: Extracting #11: cost 0 inf + 115403 582.905 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 582.905 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 582.905 * * * * [progress]: [ 2017 / 5906 ] simplifiying candidate # 582.906 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 582.906 * * [simplify]: iters left: 6 (47 enodes) 582.919 * * [simplify]: iters left: 5 (228 enodes) 582.963 * * [simplify]: Extracting #0: cost 1 inf + 0 582.963 * * [simplify]: Extracting #1: cost 3 inf + 0 582.963 * * [simplify]: Extracting #2: cost 10 inf + 0 582.963 * * [simplify]: Extracting #3: cost 65 inf + 0 582.963 * * [simplify]: Extracting #4: cost 116 inf + 86 582.964 * * [simplify]: Extracting #5: cost 150 inf + 1552 582.965 * * [simplify]: Extracting #6: cost 211 inf + 3017 582.966 * * [simplify]: Extracting #7: cost 182 inf + 8458 582.970 * * [simplify]: Extracting #8: cost 135 inf + 22495 582.977 * * [simplify]: Extracting #9: cost 91 inf + 41398 582.990 * * [simplify]: Extracting #10: cost 30 inf + 65387 583.006 * * [simplify]: Extracting #11: cost 4 inf + 88542 583.025 * * [simplify]: Extracting #12: cost 1 inf + 93097 583.043 * * [simplify]: Extracting #13: cost 0 inf + 94882 583.062 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) 583.062 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 583.063 * * * * [progress]: [ 2018 / 5906 ] simplifiying candidate # 583.063 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 583.063 * * [simplify]: iters left: 6 (41 enodes) 583.075 * * [simplify]: iters left: 5 (190 enodes) 583.112 * * [simplify]: Extracting #0: cost 1 inf + 0 583.112 * * [simplify]: Extracting #1: cost 3 inf + 0 583.112 * * [simplify]: Extracting #2: cost 6 inf + 0 583.112 * * [simplify]: Extracting #3: cost 48 inf + 0 583.112 * * [simplify]: Extracting #4: cost 112 inf + 0 583.112 * * [simplify]: Extracting #5: cost 170 inf + 0 583.113 * * [simplify]: Extracting #6: cost 217 inf + 89 583.114 * * [simplify]: Extracting #7: cost 178 inf + 6517 583.118 * * [simplify]: Extracting #8: cost 81 inf + 31077 583.126 * * [simplify]: Extracting #9: cost 39 inf + 46946 583.135 * * [simplify]: Extracting #10: cost 34 inf + 49930 583.150 * * [simplify]: Extracting #11: cost 3 inf + 81585 583.170 * * [simplify]: Extracting #12: cost 0 inf + 85260 583.187 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) 583.187 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 583.188 * * * * [progress]: [ 2019 / 5906 ] simplifiying candidate # 583.188 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 583.189 * * [simplify]: iters left: 6 (42 enodes) 583.200 * * [simplify]: iters left: 5 (199 enodes) 583.241 * * [simplify]: Extracting #0: cost 1 inf + 0 583.241 * * [simplify]: Extracting #1: cost 3 inf + 0 583.241 * * [simplify]: Extracting #2: cost 6 inf + 0 583.241 * * [simplify]: Extracting #3: cost 52 inf + 0 583.241 * * [simplify]: Extracting #4: cost 135 inf + 0 583.242 * * [simplify]: Extracting #5: cost 182 inf + 208 583.242 * * [simplify]: Extracting #6: cost 217 inf + 1237 583.244 * * [simplify]: Extracting #7: cost 150 inf + 10671 583.249 * * [simplify]: Extracting #8: cost 78 inf + 33806 583.259 * * [simplify]: Extracting #9: cost 27 inf + 56583 583.272 * * [simplify]: Extracting #10: cost 6 inf + 74927 583.288 * * [simplify]: Extracting #11: cost 0 inf + 80677 583.305 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) 583.305 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 583.306 * * * * [progress]: [ 2020 / 5906 ] simplifiying candidate # 583.306 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 583.306 * * [simplify]: iters left: 6 (42 enodes) 583.317 * * [simplify]: iters left: 5 (199 enodes) 583.362 * * [simplify]: Extracting #0: cost 1 inf + 0 583.362 * * [simplify]: Extracting #1: cost 3 inf + 0 583.362 * * [simplify]: Extracting #2: cost 6 inf + 0 583.362 * * [simplify]: Extracting #3: cost 54 inf + 0 583.363 * * [simplify]: Extracting #4: cost 133 inf + 0 583.363 * * [simplify]: Extracting #5: cost 177 inf + 330 583.364 * * [simplify]: Extracting #6: cost 213 inf + 1407 583.365 * * [simplify]: Extracting #7: cost 159 inf + 8625 583.370 * * [simplify]: Extracting #8: cost 78 inf + 32116 583.379 * * [simplify]: Extracting #9: cost 34 inf + 50160 583.392 * * [simplify]: Extracting #10: cost 7 inf + 74014 583.409 * * [simplify]: Extracting #11: cost 0 inf + 79869 583.425 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) 583.425 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 583.426 * * * * [progress]: [ 2021 / 5906 ] simplifiying candidate # 583.426 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 583.426 * * [simplify]: iters left: 6 (35 enodes) 583.435 * * [simplify]: iters left: 5 (159 enodes) 583.463 * * [simplify]: iters left: 4 (418 enodes) 583.599 * * [simplify]: Extracting #0: cost 1 inf + 0 583.599 * * [simplify]: Extracting #1: cost 3 inf + 0 583.599 * * [simplify]: Extracting #2: cost 16 inf + 0 583.599 * * [simplify]: Extracting #3: cost 150 inf + 0 583.604 * * [simplify]: Extracting #4: cost 337 inf + 44 583.606 * * [simplify]: Extracting #5: cost 383 inf + 4314 583.610 * * [simplify]: Extracting #6: cost 390 inf + 24757 583.622 * * [simplify]: Extracting #7: cost 323 inf + 60548 583.638 * * [simplify]: Extracting #8: cost 278 inf + 73909 583.660 * * [simplify]: Extracting #9: cost 192 inf + 103937 583.697 * * [simplify]: Extracting #10: cost 43 inf + 171656 583.747 * * [simplify]: Extracting #11: cost 1 inf + 204946 583.800 * * [simplify]: Extracting #12: cost 0 inf + 205291 583.851 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) 583.851 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 583.852 * * * * [progress]: [ 2022 / 5906 ] simplifiying candidate # 583.852 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 583.852 * * [simplify]: iters left: 6 (41 enodes) 583.863 * * [simplify]: iters left: 5 (192 enodes) 583.900 * * [simplify]: iters left: 4 (480 enodes) 584.057 * * [simplify]: Extracting #0: cost 1 inf + 0 584.057 * * [simplify]: Extracting #1: cost 3 inf + 0 584.057 * * [simplify]: Extracting #2: cost 18 inf + 0 584.058 * * [simplify]: Extracting #3: cost 160 inf + 0 584.059 * * [simplify]: Extracting #4: cost 338 inf + 654 584.061 * * [simplify]: Extracting #5: cost 439 inf + 4509 584.064 * * [simplify]: Extracting #6: cost 528 inf + 9735 584.075 * * [simplify]: Extracting #7: cost 469 inf + 41045 584.097 * * [simplify]: Extracting #8: cost 226 inf + 132118 584.141 * * [simplify]: Extracting #9: cost 48 inf + 224026 584.203 * * [simplify]: Extracting #10: cost 1 inf + 264201 584.268 * * [simplify]: Extracting #11: cost 0 inf + 264906 584.330 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 584.330 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 584.330 * * * * [progress]: [ 2023 / 5906 ] simplifiying candidate # 584.331 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 584.331 * * [simplify]: iters left: 6 (35 enodes) 584.339 * * [simplify]: iters left: 5 (159 enodes) 584.369 * * [simplify]: iters left: 4 (399 enodes) 584.498 * * [simplify]: Extracting #0: cost 1 inf + 0 584.498 * * [simplify]: Extracting #1: cost 3 inf + 0 584.498 * * [simplify]: Extracting #2: cost 13 inf + 0 584.499 * * [simplify]: Extracting #3: cost 112 inf + 0 584.499 * * [simplify]: Extracting #4: cost 245 inf + 44 584.500 * * [simplify]: Extracting #5: cost 337 inf + 2573 584.503 * * [simplify]: Extracting #6: cost 387 inf + 9037 584.509 * * [simplify]: Extracting #7: cost 365 inf + 23627 584.524 * * [simplify]: Extracting #8: cost 188 inf + 81737 584.559 * * [simplify]: Extracting #9: cost 24 inf + 150592 584.599 * * [simplify]: Extracting #10: cost 3 inf + 169437 584.639 * * [simplify]: Extracting #11: cost 0 inf + 172392 584.680 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ lambda1 lambda2))))) 584.680 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ lambda1 lambda2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 584.680 * * * * [progress]: [ 2024 / 5906 ] simplifiying candidate # 584.681 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 584.681 * * [simplify]: iters left: 6 (41 enodes) 584.691 * * [simplify]: iters left: 5 (192 enodes) 584.727 * * [simplify]: iters left: 4 (480 enodes) 584.884 * * [simplify]: Extracting #0: cost 1 inf + 0 584.885 * * [simplify]: Extracting #1: cost 3 inf + 0 584.885 * * [simplify]: Extracting #2: cost 18 inf + 0 584.885 * * [simplify]: Extracting #3: cost 144 inf + 0 584.886 * * [simplify]: Extracting #4: cost 303 inf + 290 584.888 * * [simplify]: Extracting #5: cost 454 inf + 1591 584.891 * * [simplify]: Extracting #6: cost 531 inf + 9349 584.897 * * [simplify]: Extracting #7: cost 493 inf + 31996 584.914 * * [simplify]: Extracting #8: cost 335 inf + 90445 584.941 * * [simplify]: Extracting #9: cost 208 inf + 138769 584.985 * * [simplify]: Extracting #10: cost 51 inf + 220146 585.048 * * [simplify]: Extracting #11: cost 1 inf + 263316 585.111 * * [simplify]: Extracting #12: cost 0 inf + 263541 585.175 * [simplify]: Simplified to (sqrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 585.175 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 585.175 * * * * [progress]: [ 2025 / 5906 ] simplifiying candidate # 585.176 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 585.176 * * [simplify]: iters left: 6 (35 enodes) 585.185 * * [simplify]: iters left: 5 (159 enodes) 585.216 * * [simplify]: iters left: 4 (399 enodes) 585.344 * * [simplify]: Extracting #0: cost 1 inf + 0 585.344 * * [simplify]: Extracting #1: cost 3 inf + 0 585.344 * * [simplify]: Extracting #2: cost 13 inf + 0 585.344 * * [simplify]: Extracting #3: cost 109 inf + 0 585.345 * * [simplify]: Extracting #4: cost 253 inf + 44 585.346 * * [simplify]: Extracting #5: cost 352 inf + 1475 585.349 * * [simplify]: Extracting #6: cost 399 inf + 8229 585.355 * * [simplify]: Extracting #7: cost 346 inf + 34106 585.374 * * [simplify]: Extracting #8: cost 160 inf + 96972 585.406 * * [simplify]: Extracting #9: cost 25 inf + 153027 585.447 * * [simplify]: Extracting #10: cost 3 inf + 171335 585.488 * * [simplify]: Extracting #11: cost 0 inf + 174330 585.530 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ phi1 phi2)) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 585.530 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ phi1 phi2)) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 585.531 * * * * [progress]: [ 2026 / 5906 ] simplifiying candidate # 585.531 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 585.531 * * [simplify]: iters left: 6 (51 enodes) 585.544 * * [simplify]: iters left: 5 (245 enodes) 585.595 * * [simplify]: Extracting #0: cost 1 inf + 0 585.595 * * [simplify]: Extracting #1: cost 3 inf + 0 585.595 * * [simplify]: Extracting #2: cost 6 inf + 0 585.595 * * [simplify]: Extracting #3: cost 56 inf + 0 585.595 * * [simplify]: Extracting #4: cost 130 inf + 0 585.596 * * [simplify]: Extracting #5: cost 200 inf + 0 585.596 * * [simplify]: Extracting #6: cost 254 inf + 1348 585.598 * * [simplify]: Extracting #7: cost 197 inf + 10629 585.602 * * [simplify]: Extracting #8: cost 148 inf + 24627 585.609 * * [simplify]: Extracting #9: cost 92 inf + 47167 585.619 * * [simplify]: Extracting #10: cost 56 inf + 59215 585.629 * * [simplify]: Extracting #11: cost 46 inf + 65145 585.646 * * [simplify]: Extracting #12: cost 9 inf + 104190 585.670 * * [simplify]: Extracting #13: cost 1 inf + 114350 585.692 * * [simplify]: Extracting #14: cost 0 inf + 116335 585.715 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 585.715 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 585.715 * * * * [progress]: [ 2027 / 5906 ] simplifiying candidate # 585.716 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 585.716 * * [simplify]: iters left: 6 (52 enodes) 585.729 * * [simplify]: iters left: 5 (254 enodes) 585.781 * * [simplify]: Extracting #0: cost 1 inf + 0 585.781 * * [simplify]: Extracting #1: cost 3 inf + 0 585.781 * * [simplify]: Extracting #2: cost 6 inf + 0 585.781 * * [simplify]: Extracting #3: cost 60 inf + 0 585.781 * * [simplify]: Extracting #4: cost 153 inf + 0 585.782 * * [simplify]: Extracting #5: cost 214 inf + 44 585.783 * * [simplify]: Extracting #6: cost 235 inf + 5372 585.786 * * [simplify]: Extracting #7: cost 171 inf + 17800 585.792 * * [simplify]: Extracting #8: cost 122 inf + 36394 585.802 * * [simplify]: Extracting #9: cost 57 inf + 63687 585.815 * * [simplify]: Extracting #10: cost 37 inf + 77067 585.836 * * [simplify]: Extracting #11: cost 11 inf + 105757 585.859 * * [simplify]: Extracting #12: cost 1 inf + 119727 585.882 * * [simplify]: Extracting #13: cost 0 inf + 121832 585.906 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) 585.906 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 585.906 * * * * [progress]: [ 2028 / 5906 ] simplifiying candidate # 585.906 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 585.907 * * [simplify]: iters left: 6 (52 enodes) 585.920 * * [simplify]: iters left: 5 (254 enodes) 585.971 * * [simplify]: Extracting #0: cost 1 inf + 0 585.971 * * [simplify]: Extracting #1: cost 3 inf + 0 585.972 * * [simplify]: Extracting #2: cost 6 inf + 0 585.972 * * [simplify]: Extracting #3: cost 62 inf + 0 585.972 * * [simplify]: Extracting #4: cost 151 inf + 0 585.973 * * [simplify]: Extracting #5: cost 210 inf + 44 585.974 * * [simplify]: Extracting #6: cost 228 inf + 4616 585.977 * * [simplify]: Extracting #7: cost 178 inf + 14846 585.982 * * [simplify]: Extracting #8: cost 140 inf + 30631 585.991 * * [simplify]: Extracting #9: cost 98 inf + 48069 586.003 * * [simplify]: Extracting #10: cost 38 inf + 76274 586.022 * * [simplify]: Extracting #11: cost 8 inf + 105744 586.043 * * [simplify]: Extracting #12: cost 1 inf + 115359 586.065 * * [simplify]: Extracting #13: cost 0 inf + 117424 586.088 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) 586.088 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 586.089 * * * * [progress]: [ 2029 / 5906 ] simplifiying candidate # 586.089 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 586.089 * * [simplify]: iters left: 6 (46 enodes) 586.101 * * [simplify]: iters left: 5 (218 enodes) 586.143 * * [simplify]: Extracting #0: cost 1 inf + 0 586.143 * * [simplify]: Extracting #1: cost 3 inf + 0 586.143 * * [simplify]: Extracting #2: cost 6 inf + 0 586.143 * * [simplify]: Extracting #3: cost 54 inf + 0 586.143 * * [simplify]: Extracting #4: cost 119 inf + 0 586.144 * * [simplify]: Extracting #5: cost 157 inf + 85 586.145 * * [simplify]: Extracting #6: cost 190 inf + 3583 586.147 * * [simplify]: Extracting #7: cost 163 inf + 8696 586.152 * * [simplify]: Extracting #8: cost 100 inf + 30320 586.164 * * [simplify]: Extracting #9: cost 51 inf + 51327 586.178 * * [simplify]: Extracting #10: cost 8 inf + 85336 586.196 * * [simplify]: Extracting #11: cost 0 inf + 94003 586.214 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 586.214 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 586.215 * * * * [progress]: [ 2030 / 5906 ] simplifiying candidate # 586.215 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 586.215 * * [simplify]: iters left: 6 (51 enodes) 586.228 * * [simplify]: iters left: 5 (246 enodes) 586.278 * * [simplify]: Extracting #0: cost 1 inf + 0 586.278 * * [simplify]: Extracting #1: cost 3 inf + 0 586.278 * * [simplify]: Extracting #2: cost 10 inf + 0 586.278 * * [simplify]: Extracting #3: cost 74 inf + 0 586.278 * * [simplify]: Extracting #4: cost 137 inf + 1 586.279 * * [simplify]: Extracting #5: cost 179 inf + 249 586.280 * * [simplify]: Extracting #6: cost 209 inf + 4398 586.283 * * [simplify]: Extracting #7: cost 161 inf + 19529 586.288 * * [simplify]: Extracting #8: cost 126 inf + 33024 586.294 * * [simplify]: Extracting #9: cost 94 inf + 43274 586.303 * * [simplify]: Extracting #10: cost 51 inf + 59699 586.320 * * [simplify]: Extracting #11: cost 10 inf + 96004 586.342 * * [simplify]: Extracting #12: cost 1 inf + 107429 586.363 * * [simplify]: Extracting #13: cost 0 inf + 109414 586.384 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (+ lambda1 lambda2)))))) 586.384 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 586.385 * * * * [progress]: [ 2031 / 5906 ] simplifiying candidate # 586.385 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 586.385 * * [simplify]: iters left: 6 (46 enodes) 586.396 * * [simplify]: iters left: 5 (218 enodes) 586.439 * * [simplify]: Extracting #0: cost 1 inf + 0 586.439 * * [simplify]: Extracting #1: cost 3 inf + 0 586.439 * * [simplify]: Extracting #2: cost 10 inf + 0 586.439 * * [simplify]: Extracting #3: cost 66 inf + 0 586.439 * * [simplify]: Extracting #4: cost 117 inf + 44 586.440 * * [simplify]: Extracting #5: cost 146 inf + 740 586.441 * * [simplify]: Extracting #6: cost 189 inf + 3018 586.442 * * [simplify]: Extracting #7: cost 166 inf + 7401 586.447 * * [simplify]: Extracting #8: cost 97 inf + 30973 586.456 * * [simplify]: Extracting #9: cost 45 inf + 53314 586.471 * * [simplify]: Extracting #10: cost 7 inf + 81078 586.488 * * [simplify]: Extracting #11: cost 1 inf + 87788 586.507 * * [simplify]: Extracting #12: cost 0 inf + 89533 586.524 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))) 586.525 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 586.525 * * * * [progress]: [ 2032 / 5906 ] simplifiying candidate # 586.525 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 586.526 * * [simplify]: iters left: 6 (51 enodes) 586.538 * * [simplify]: iters left: 5 (246 enodes) 586.588 * * [simplify]: Extracting #0: cost 1 inf + 0 586.588 * * [simplify]: Extracting #1: cost 3 inf + 0 586.588 * * [simplify]: Extracting #2: cost 10 inf + 0 586.588 * * [simplify]: Extracting #3: cost 74 inf + 0 586.589 * * [simplify]: Extracting #4: cost 137 inf + 1 586.589 * * [simplify]: Extracting #5: cost 180 inf + 207 586.590 * * [simplify]: Extracting #6: cost 213 inf + 4032 586.593 * * [simplify]: Extracting #7: cost 163 inf + 19103 586.598 * * [simplify]: Extracting #8: cost 126 inf + 33984 586.605 * * [simplify]: Extracting #9: cost 94 inf + 44234 586.615 * * [simplify]: Extracting #10: cost 51 inf + 60659 586.631 * * [simplify]: Extracting #11: cost 10 inf + 96964 586.652 * * [simplify]: Extracting #12: cost 1 inf + 108389 586.675 * * [simplify]: Extracting #13: cost 0 inf + 110374 586.696 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))))) 586.696 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 586.697 * * * * [progress]: [ 2033 / 5906 ] simplifiying candidate # 586.697 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 586.697 * * [simplify]: iters left: 6 (46 enodes) 586.709 * * [simplify]: iters left: 5 (218 enodes) 586.752 * * [simplify]: Extracting #0: cost 1 inf + 0 586.752 * * [simplify]: Extracting #1: cost 3 inf + 0 586.752 * * [simplify]: Extracting #2: cost 10 inf + 0 586.752 * * [simplify]: Extracting #3: cost 65 inf + 0 586.752 * * [simplify]: Extracting #4: cost 117 inf + 44 586.753 * * [simplify]: Extracting #5: cost 146 inf + 660 586.754 * * [simplify]: Extracting #6: cost 188 inf + 3140 586.755 * * [simplify]: Extracting #7: cost 166 inf + 7482 586.760 * * [simplify]: Extracting #8: cost 103 inf + 28664 586.769 * * [simplify]: Extracting #9: cost 48 inf + 52199 586.784 * * [simplify]: Extracting #10: cost 8 inf + 81015 586.800 * * [simplify]: Extracting #11: cost 1 inf + 88188 586.818 * * [simplify]: Extracting #12: cost 0 inf + 89933 586.837 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))) 586.837 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 586.838 * * * * [progress]: [ 2034 / 5906 ] simplifiying candidate # 586.838 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 586.838 * * [simplify]: iters left: 6 (43 enodes) 586.849 * * [simplify]: iters left: 5 (201 enodes) 586.887 * * [simplify]: Extracting #0: cost 1 inf + 0 586.887 * * [simplify]: Extracting #1: cost 3 inf + 0 586.887 * * [simplify]: Extracting #2: cost 6 inf + 0 586.887 * * [simplify]: Extracting #3: cost 54 inf + 0 586.887 * * [simplify]: Extracting #4: cost 122 inf + 0 586.888 * * [simplify]: Extracting #5: cost 179 inf + 0 586.888 * * [simplify]: Extracting #6: cost 229 inf + 341 586.889 * * [simplify]: Extracting #7: cost 191 inf + 5101 586.892 * * [simplify]: Extracting #8: cost 126 inf + 22306 586.898 * * [simplify]: Extracting #9: cost 77 inf + 38674 586.912 * * [simplify]: Extracting #10: cost 23 inf + 67629 586.929 * * [simplify]: Extracting #11: cost 0 inf + 87524 586.948 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 586.948 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 586.948 * * * * [progress]: [ 2035 / 5906 ] simplifiying candidate # 586.949 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 586.949 * * [simplify]: iters left: 6 (44 enodes) 586.960 * * [simplify]: iters left: 5 (210 enodes) 587.002 * * [simplify]: Extracting #0: cost 1 inf + 0 587.002 * * [simplify]: Extracting #1: cost 3 inf + 0 587.002 * * [simplify]: Extracting #2: cost 6 inf + 0 587.002 * * [simplify]: Extracting #3: cost 58 inf + 0 587.003 * * [simplify]: Extracting #4: cost 145 inf + 0 587.003 * * [simplify]: Extracting #5: cost 187 inf + 453 587.004 * * [simplify]: Extracting #6: cost 207 inf + 4638 587.007 * * [simplify]: Extracting #7: cost 153 inf + 14129 587.012 * * [simplify]: Extracting #8: cost 107 inf + 29342 587.018 * * [simplify]: Extracting #9: cost 74 inf + 42018 587.029 * * [simplify]: Extracting #10: cost 26 inf + 64691 587.045 * * [simplify]: Extracting #11: cost 2 inf + 85451 587.063 * * [simplify]: Extracting #12: cost 0 inf + 88541 587.083 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))))) 587.083 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 587.083 * * * * [progress]: [ 2036 / 5906 ] simplifiying candidate # 587.084 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 587.084 * * [simplify]: iters left: 6 (44 enodes) 587.096 * * [simplify]: iters left: 5 (210 enodes) 587.136 * * [simplify]: Extracting #0: cost 1 inf + 0 587.136 * * [simplify]: Extracting #1: cost 3 inf + 0 587.136 * * [simplify]: Extracting #2: cost 6 inf + 0 587.136 * * [simplify]: Extracting #3: cost 60 inf + 0 587.137 * * [simplify]: Extracting #4: cost 143 inf + 0 587.137 * * [simplify]: Extracting #5: cost 188 inf + 85 587.138 * * [simplify]: Extracting #6: cost 225 inf + 1359 587.140 * * [simplify]: Extracting #7: cost 170 inf + 10002 587.144 * * [simplify]: Extracting #8: cost 106 inf + 26078 587.156 * * [simplify]: Extracting #9: cost 35 inf + 57706 587.172 * * [simplify]: Extracting #10: cost 0 inf + 86213 587.189 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))))) 587.189 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 587.190 * * * * [progress]: [ 2037 / 5906 ] simplifiying candidate # 587.190 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 587.190 * * [simplify]: iters left: 6 (37 enodes) 587.199 * * [simplify]: iters left: 5 (169 enodes) 587.232 * * [simplify]: iters left: 4 (455 enodes) 587.402 * * [simplify]: Extracting #0: cost 1 inf + 0 587.402 * * [simplify]: Extracting #1: cost 3 inf + 0 587.402 * * [simplify]: Extracting #2: cost 16 inf + 0 587.402 * * [simplify]: Extracting #3: cost 173 inf + 0 587.403 * * [simplify]: Extracting #4: cost 367 inf + 167 587.405 * * [simplify]: Extracting #5: cost 430 inf + 2773 587.408 * * [simplify]: Extracting #6: cost 467 inf + 11056 587.414 * * [simplify]: Extracting #7: cost 449 inf + 27419 587.437 * * [simplify]: Extracting #8: cost 225 inf + 108293 587.483 * * [simplify]: Extracting #9: cost 27 inf + 206291 587.543 * * [simplify]: Extracting #10: cost 1 inf + 227101 587.603 * * [simplify]: Extracting #11: cost 0 inf + 227846 587.663 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ lambda1 lambda2))) (+ phi1 phi2)) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ lambda1 lambda2))) (+ phi1 phi2)))))) 587.663 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ lambda1 lambda2))) (+ phi1 phi2)) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 587.664 * * * * [progress]: [ 2038 / 5906 ] simplifiying candidate # 587.664 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 587.665 * * [simplify]: iters left: 6 (43 enodes) 587.676 * * [simplify]: iters left: 5 (202 enodes) 587.717 * * [simplify]: Extracting #0: cost 1 inf + 0 587.717 * * [simplify]: Extracting #1: cost 3 inf + 0 587.717 * * [simplify]: Extracting #2: cost 10 inf + 0 587.717 * * [simplify]: Extracting #3: cost 72 inf + 0 587.718 * * [simplify]: Extracting #4: cost 128 inf + 42 587.718 * * [simplify]: Extracting #5: cost 155 inf + 453 587.719 * * [simplify]: Extracting #6: cost 187 inf + 3295 587.721 * * [simplify]: Extracting #7: cost 132 inf + 17743 587.726 * * [simplify]: Extracting #8: cost 79 inf + 33921 587.735 * * [simplify]: Extracting #9: cost 32 inf + 53643 587.749 * * [simplify]: Extracting #10: cost 3 inf + 76888 587.765 * * [simplify]: Extracting #11: cost 0 inf + 81163 587.783 * [simplify]: Simplified to (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) 587.783 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 587.783 * * * * [progress]: [ 2039 / 5906 ] simplifiying candidate # 587.784 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 587.784 * * [simplify]: iters left: 6 (37 enodes) 587.792 * * [simplify]: iters left: 5 (169 enodes) 587.824 * * [simplify]: iters left: 4 (442 enodes) 587.968 * * [simplify]: Extracting #0: cost 1 inf + 0 587.969 * * [simplify]: Extracting #1: cost 3 inf + 0 587.969 * * [simplify]: Extracting #2: cost 13 inf + 0 587.969 * * [simplify]: Extracting #3: cost 118 inf + 0 587.970 * * [simplify]: Extracting #4: cost 271 inf + 44 587.971 * * [simplify]: Extracting #5: cost 373 inf + 1635 587.974 * * [simplify]: Extracting #6: cost 401 inf + 12724 587.987 * * [simplify]: Extracting #7: cost 333 inf + 48445 588.007 * * [simplify]: Extracting #8: cost 185 inf + 96933 588.041 * * [simplify]: Extracting #9: cost 26 inf + 162763 588.085 * * [simplify]: Extracting #10: cost 0 inf + 185573 588.128 * * [simplify]: Extracting #11: cost 0 inf + 185053 588.171 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (- phi1 phi2))) (- phi1 phi2))) (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)))) 588.171 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (- phi1 phi2))) (- phi1 phi2))) (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 588.172 * * * * [progress]: [ 2040 / 5906 ] simplifiying candidate # 588.172 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 588.172 * * [simplify]: iters left: 6 (43 enodes) 588.183 * * [simplify]: iters left: 5 (202 enodes) 588.220 * * [simplify]: Extracting #0: cost 1 inf + 0 588.220 * * [simplify]: Extracting #1: cost 3 inf + 0 588.220 * * [simplify]: Extracting #2: cost 10 inf + 0 588.220 * * [simplify]: Extracting #3: cost 72 inf + 0 588.220 * * [simplify]: Extracting #4: cost 128 inf + 42 588.221 * * [simplify]: Extracting #5: cost 156 inf + 372 588.222 * * [simplify]: Extracting #6: cost 193 inf + 2286 588.223 * * [simplify]: Extracting #7: cost 162 inf + 7133 588.229 * * [simplify]: Extracting #8: cost 88 inf + 30488 588.238 * * [simplify]: Extracting #9: cost 31 inf + 55548 588.252 * * [simplify]: Extracting #10: cost 3 inf + 77568 588.268 * * [simplify]: Extracting #11: cost 0 inf + 82123 588.285 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) 588.286 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 588.286 * * * * [progress]: [ 2041 / 5906 ] simplifiying candidate # 588.286 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 588.287 * * [simplify]: iters left: 6 (37 enodes) 588.295 * * [simplify]: iters left: 5 (169 enodes) 588.329 * * [simplify]: iters left: 4 (442 enodes) 588.476 * * [simplify]: Extracting #0: cost 1 inf + 0 588.477 * * [simplify]: Extracting #1: cost 3 inf + 0 588.477 * * [simplify]: Extracting #2: cost 13 inf + 0 588.477 * * [simplify]: Extracting #3: cost 114 inf + 0 588.478 * * [simplify]: Extracting #4: cost 280 inf + 44 588.479 * * [simplify]: Extracting #5: cost 378 inf + 1838 588.482 * * [simplify]: Extracting #6: cost 404 inf + 12852 588.491 * * [simplify]: Extracting #7: cost 342 inf + 46352 588.515 * * [simplify]: Extracting #8: cost 174 inf + 105494 588.553 * * [simplify]: Extracting #9: cost 14 inf + 179106 588.598 * * [simplify]: Extracting #10: cost 0 inf + 186814 588.643 * * [simplify]: Extracting #11: cost 0 inf + 186294 588.688 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) 588.688 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 588.689 * * * * [progress]: [ 2042 / 5906 ] simplifiying candidate # 588.689 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 588.690 * * [simplify]: iters left: 6 (51 enodes) 588.702 * * [simplify]: iters left: 5 (244 enodes) 588.750 * * [simplify]: Extracting #0: cost 1 inf + 0 588.751 * * [simplify]: Extracting #1: cost 3 inf + 0 588.751 * * [simplify]: Extracting #2: cost 6 inf + 0 588.751 * * [simplify]: Extracting #3: cost 56 inf + 0 588.751 * * [simplify]: Extracting #4: cost 130 inf + 0 588.751 * * [simplify]: Extracting #5: cost 201 inf + 0 588.752 * * [simplify]: Extracting #6: cost 255 inf + 1146 588.756 * * [simplify]: Extracting #7: cost 194 inf + 11284 588.760 * * [simplify]: Extracting #8: cost 127 inf + 30154 588.770 * * [simplify]: Extracting #9: cost 59 inf + 58521 588.781 * * [simplify]: Extracting #10: cost 38 inf + 72465 588.800 * * [simplify]: Extracting #11: cost 6 inf + 111625 588.823 * * [simplify]: Extracting #12: cost 0 inf + 120855 588.846 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 588.846 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 588.846 * * * * [progress]: [ 2043 / 5906 ] simplifiying candidate # 588.847 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 588.847 * * [simplify]: iters left: 6 (52 enodes) 588.861 * * [simplify]: iters left: 5 (253 enodes) 588.912 * * [simplify]: Extracting #0: cost 1 inf + 0 588.912 * * [simplify]: Extracting #1: cost 3 inf + 0 588.912 * * [simplify]: Extracting #2: cost 6 inf + 0 588.912 * * [simplify]: Extracting #3: cost 60 inf + 0 588.913 * * [simplify]: Extracting #4: cost 153 inf + 0 588.913 * * [simplify]: Extracting #5: cost 215 inf + 44 588.915 * * [simplify]: Extracting #6: cost 233 inf + 5535 588.920 * * [simplify]: Extracting #7: cost 178 inf + 16859 588.926 * * [simplify]: Extracting #8: cost 121 inf + 38283 588.936 * * [simplify]: Extracting #9: cost 56 inf + 64072 588.948 * * [simplify]: Extracting #10: cost 36 inf + 77892 588.967 * * [simplify]: Extracting #11: cost 11 inf + 105117 588.989 * * [simplify]: Extracting #12: cost 1 inf + 117407 589.013 * * [simplify]: Extracting #13: cost 0 inf + 119472 589.035 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (+ phi1 phi2) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) 589.035 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (+ phi1 phi2) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 589.036 * * * * [progress]: [ 2044 / 5906 ] simplifiying candidate # 589.036 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 589.036 * * [simplify]: iters left: 6 (52 enodes) 589.049 * * [simplify]: iters left: 5 (253 enodes) 589.102 * * [simplify]: Extracting #0: cost 1 inf + 0 589.102 * * [simplify]: Extracting #1: cost 3 inf + 0 589.102 * * [simplify]: Extracting #2: cost 6 inf + 0 589.102 * * [simplify]: Extracting #3: cost 62 inf + 0 589.103 * * [simplify]: Extracting #4: cost 151 inf + 0 589.103 * * [simplify]: Extracting #5: cost 211 inf + 44 589.105 * * [simplify]: Extracting #6: cost 221 inf + 6030 589.109 * * [simplify]: Extracting #7: cost 162 inf + 24659 589.115 * * [simplify]: Extracting #8: cost 123 inf + 40230 589.123 * * [simplify]: Extracting #9: cost 87 inf + 52541 589.134 * * [simplify]: Extracting #10: cost 47 inf + 68289 589.151 * * [simplify]: Extracting #11: cost 13 inf + 100379 589.175 * * [simplify]: Extracting #12: cost 1 inf + 115119 589.197 * * [simplify]: Extracting #13: cost 0 inf + 117184 589.219 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 589.219 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 589.220 * * * * [progress]: [ 2045 / 5906 ] simplifiying candidate # 589.220 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 589.220 * * [simplify]: iters left: 6 (46 enodes) 589.232 * * [simplify]: iters left: 5 (217 enodes) 589.275 * * [simplify]: Extracting #0: cost 1 inf + 0 589.275 * * [simplify]: Extracting #1: cost 3 inf + 0 589.275 * * [simplify]: Extracting #2: cost 6 inf + 0 589.275 * * [simplify]: Extracting #3: cost 54 inf + 0 589.276 * * [simplify]: Extracting #4: cost 119 inf + 0 589.276 * * [simplify]: Extracting #5: cost 158 inf + 85 589.277 * * [simplify]: Extracting #6: cost 191 inf + 3299 589.279 * * [simplify]: Extracting #7: cost 162 inf + 8376 589.282 * * [simplify]: Extracting #8: cost 133 inf + 19215 589.289 * * [simplify]: Extracting #9: cost 88 inf + 37288 589.298 * * [simplify]: Extracting #10: cost 44 inf + 52956 589.312 * * [simplify]: Extracting #11: cost 8 inf + 85323 589.330 * * [simplify]: Extracting #12: cost 0 inf + 94523 589.351 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 589.351 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 589.351 * * * * [progress]: [ 2046 / 5906 ] simplifiying candidate # 589.352 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 589.352 * * [simplify]: iters left: 6 (51 enodes) 589.365 * * [simplify]: iters left: 5 (245 enodes) 589.413 * * [simplify]: Extracting #0: cost 1 inf + 0 589.413 * * [simplify]: Extracting #1: cost 3 inf + 0 589.413 * * [simplify]: Extracting #2: cost 10 inf + 0 589.413 * * [simplify]: Extracting #3: cost 74 inf + 0 589.413 * * [simplify]: Extracting #4: cost 137 inf + 1 589.414 * * [simplify]: Extracting #5: cost 180 inf + 249 589.417 * * [simplify]: Extracting #6: cost 207 inf + 4883 589.420 * * [simplify]: Extracting #7: cost 160 inf + 20292 589.426 * * [simplify]: Extracting #8: cost 104 inf + 40251 589.435 * * [simplify]: Extracting #9: cost 61 inf + 55409 589.445 * * [simplify]: Extracting #10: cost 40 inf + 66854 589.462 * * [simplify]: Extracting #11: cost 7 inf + 99159 589.482 * * [simplify]: Extracting #12: cost 1 inf + 107749 589.503 * * [simplify]: Extracting #13: cost 0 inf + 109734 589.525 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) 589.525 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 589.525 * * * * [progress]: [ 2047 / 5906 ] simplifiying candidate # 589.526 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 589.526 * * [simplify]: iters left: 6 (46 enodes) 589.537 * * [simplify]: iters left: 5 (217 enodes) 589.579 * * [simplify]: Extracting #0: cost 1 inf + 0 589.579 * * [simplify]: Extracting #1: cost 3 inf + 0 589.579 * * [simplify]: Extracting #2: cost 10 inf + 0 589.580 * * [simplify]: Extracting #3: cost 66 inf + 0 589.580 * * [simplify]: Extracting #4: cost 117 inf + 44 589.580 * * [simplify]: Extracting #5: cost 146 inf + 822 589.581 * * [simplify]: Extracting #6: cost 188 inf + 3180 589.583 * * [simplify]: Extracting #7: cost 166 inf + 7762 589.590 * * [simplify]: Extracting #8: cost 128 inf + 21913 589.596 * * [simplify]: Extracting #9: cost 84 inf + 37882 589.605 * * [simplify]: Extracting #10: cost 37 inf + 55008 589.618 * * [simplify]: Extracting #11: cost 9 inf + 78588 589.635 * * [simplify]: Extracting #12: cost 1 inf + 88268 589.652 * * [simplify]: Extracting #13: cost 0 inf + 89933 589.669 * * [simplify]: Extracting #14: cost 0 inf + 89853 589.687 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 589.687 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 589.688 * * * * [progress]: [ 2048 / 5906 ] simplifiying candidate # 589.688 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 589.688 * * [simplify]: iters left: 6 (51 enodes) 589.701 * * [simplify]: iters left: 5 (245 enodes) 589.749 * * [simplify]: Extracting #0: cost 1 inf + 0 589.749 * * [simplify]: Extracting #1: cost 3 inf + 0 589.749 * * [simplify]: Extracting #2: cost 10 inf + 0 589.749 * * [simplify]: Extracting #3: cost 74 inf + 0 589.749 * * [simplify]: Extracting #4: cost 137 inf + 1 589.750 * * [simplify]: Extracting #5: cost 181 inf + 207 589.753 * * [simplify]: Extracting #6: cost 208 inf + 4883 589.757 * * [simplify]: Extracting #7: cost 155 inf + 23270 589.763 * * [simplify]: Extracting #8: cost 105 inf + 41299 589.771 * * [simplify]: Extracting #9: cost 63 inf + 55039 589.781 * * [simplify]: Extracting #10: cost 41 inf + 67069 589.798 * * [simplify]: Extracting #11: cost 6 inf + 101184 589.819 * * [simplify]: Extracting #12: cost 0 inf + 110694 589.840 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 589.840 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 589.841 * * * * [progress]: [ 2049 / 5906 ] simplifiying candidate # 589.841 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 589.841 * * [simplify]: iters left: 6 (46 enodes) 589.854 * * [simplify]: iters left: 5 (217 enodes) 589.895 * * [simplify]: Extracting #0: cost 1 inf + 0 589.895 * * [simplify]: Extracting #1: cost 3 inf + 0 589.895 * * [simplify]: Extracting #2: cost 10 inf + 0 589.895 * * [simplify]: Extracting #3: cost 65 inf + 0 589.895 * * [simplify]: Extracting #4: cost 117 inf + 44 589.896 * * [simplify]: Extracting #5: cost 144 inf + 1066 589.897 * * [simplify]: Extracting #6: cost 187 inf + 3342 589.899 * * [simplify]: Extracting #7: cost 165 inf + 7883 589.903 * * [simplify]: Extracting #8: cost 127 inf + 22554 589.909 * * [simplify]: Extracting #9: cost 82 inf + 38758 589.922 * * [simplify]: Extracting #10: cost 29 inf + 60928 589.936 * * [simplify]: Extracting #11: cost 4 inf + 83313 589.952 * * [simplify]: Extracting #12: cost 1 inf + 88468 589.970 * * [simplify]: Extracting #13: cost 0 inf + 90213 589.987 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 589.987 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 589.987 * * * * [progress]: [ 2050 / 5906 ] simplifiying candidate # 589.988 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 589.988 * * [simplify]: iters left: 6 (41 enodes) 589.998 * * [simplify]: iters left: 5 (193 enodes) 590.037 * * [simplify]: Extracting #0: cost 1 inf + 0 590.037 * * [simplify]: Extracting #1: cost 3 inf + 0 590.037 * * [simplify]: Extracting #2: cost 6 inf + 0 590.037 * * [simplify]: Extracting #3: cost 54 inf + 0 590.037 * * [simplify]: Extracting #4: cost 120 inf + 0 590.038 * * [simplify]: Extracting #5: cost 178 inf + 0 590.038 * * [simplify]: Extracting #6: cost 225 inf + 89 590.039 * * [simplify]: Extracting #7: cost 190 inf + 5950 590.043 * * [simplify]: Extracting #8: cost 96 inf + 28651 590.050 * * [simplify]: Extracting #9: cost 52 inf + 43821 590.058 * * [simplify]: Extracting #10: cost 44 inf + 47194 590.069 * * [simplify]: Extracting #11: cost 24 inf + 66134 590.088 * * [simplify]: Extracting #12: cost 1 inf + 88349 590.106 * * [simplify]: Extracting #13: cost 0 inf + 89374 590.124 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) 590.125 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 590.125 * * * * [progress]: [ 2051 / 5906 ] simplifiying candidate # 590.125 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 590.126 * * [simplify]: iters left: 6 (42 enodes) 590.136 * * [simplify]: iters left: 5 (202 enodes) 590.178 * * [simplify]: Extracting #0: cost 1 inf + 0 590.178 * * [simplify]: Extracting #1: cost 3 inf + 0 590.178 * * [simplify]: Extracting #2: cost 6 inf + 0 590.178 * * [simplify]: Extracting #3: cost 58 inf + 0 590.178 * * [simplify]: Extracting #4: cost 143 inf + 0 590.179 * * [simplify]: Extracting #5: cost 191 inf + 86 590.180 * * [simplify]: Extracting #6: cost 222 inf + 1652 590.182 * * [simplify]: Extracting #7: cost 156 inf + 11548 590.186 * * [simplify]: Extracting #8: cost 103 inf + 28577 590.192 * * [simplify]: Extracting #9: cost 76 inf + 37480 590.201 * * [simplify]: Extracting #10: cost 40 inf + 51351 590.213 * * [simplify]: Extracting #11: cost 17 inf + 70766 590.229 * * [simplify]: Extracting #12: cost 0 inf + 85031 590.247 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) 590.247 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 590.247 * * * * [progress]: [ 2052 / 5906 ] simplifiying candidate # 590.248 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 590.248 * * [simplify]: iters left: 6 (42 enodes) 590.261 * * [simplify]: iters left: 5 (202 enodes) 590.300 * * [simplify]: Extracting #0: cost 1 inf + 0 590.300 * * [simplify]: Extracting #1: cost 3 inf + 0 590.300 * * [simplify]: Extracting #2: cost 6 inf + 0 590.300 * * [simplify]: Extracting #3: cost 60 inf + 0 590.301 * * [simplify]: Extracting #4: cost 141 inf + 0 590.301 * * [simplify]: Extracting #5: cost 186 inf + 127 590.302 * * [simplify]: Extracting #6: cost 209 inf + 3732 590.304 * * [simplify]: Extracting #7: cost 152 inf + 13156 590.309 * * [simplify]: Extracting #8: cost 79 inf + 34690 590.317 * * [simplify]: Extracting #9: cost 39 inf + 50968 590.331 * * [simplify]: Extracting #10: cost 18 inf + 67173 590.346 * * [simplify]: Extracting #11: cost 0 inf + 82463 590.362 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) 590.362 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 590.363 * * * * [progress]: [ 2053 / 5906 ] simplifiying candidate # 590.363 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 590.363 * * [simplify]: iters left: 6 (35 enodes) 590.371 * * [simplify]: iters left: 5 (161 enodes) 590.401 * * [simplify]: iters left: 4 (432 enodes) 590.547 * * [simplify]: Extracting #0: cost 1 inf + 0 590.547 * * [simplify]: Extracting #1: cost 3 inf + 0 590.547 * * [simplify]: Extracting #2: cost 16 inf + 0 590.548 * * [simplify]: Extracting #3: cost 162 inf + 0 590.549 * * [simplify]: Extracting #4: cost 350 inf + 208 590.551 * * [simplify]: Extracting #5: cost 382 inf + 6625 590.555 * * [simplify]: Extracting #6: cost 429 inf + 15674 590.566 * * [simplify]: Extracting #7: cost 357 inf + 49192 590.582 * * [simplify]: Extracting #8: cost 283 inf + 76029 590.604 * * [simplify]: Extracting #9: cost 233 inf + 91316 590.635 * * [simplify]: Extracting #10: cost 81 inf + 155850 590.681 * * [simplify]: Extracting #11: cost 9 inf + 203970 590.735 * * [simplify]: Extracting #12: cost 0 inf + 209155 590.787 * * [simplify]: Extracting #13: cost 0 inf + 208995 590.841 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) 590.841 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 590.841 * * * * [progress]: [ 2054 / 5906 ] simplifiying candidate # 590.842 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 590.842 * * [simplify]: iters left: 6 (41 enodes) 590.853 * * [simplify]: iters left: 5 (194 enodes) 590.893 * * [simplify]: Extracting #0: cost 1 inf + 0 590.893 * * [simplify]: Extracting #1: cost 3 inf + 0 590.893 * * [simplify]: Extracting #2: cost 10 inf + 0 590.893 * * [simplify]: Extracting #3: cost 72 inf + 0 590.893 * * [simplify]: Extracting #4: cost 127 inf + 1 590.894 * * [simplify]: Extracting #5: cost 155 inf + 453 590.894 * * [simplify]: Extracting #6: cost 190 inf + 1760 590.896 * * [simplify]: Extracting #7: cost 151 inf + 8763 590.900 * * [simplify]: Extracting #8: cost 79 inf + 30118 590.907 * * [simplify]: Extracting #9: cost 40 inf + 45893 590.919 * * [simplify]: Extracting #10: cost 12 inf + 69633 590.935 * * [simplify]: Extracting #11: cost 0 inf + 79093 590.951 * * [simplify]: Extracting #12: cost 0 inf + 79013 590.967 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 590.967 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 590.968 * * * * [progress]: [ 2055 / 5906 ] simplifiying candidate # 590.968 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 590.968 * * [simplify]: iters left: 6 (35 enodes) 590.979 * * [simplify]: iters left: 5 (161 enodes) 591.008 * * [simplify]: iters left: 4 (419 enodes) 591.142 * * [simplify]: Extracting #0: cost 1 inf + 0 591.142 * * [simplify]: Extracting #1: cost 3 inf + 0 591.142 * * [simplify]: Extracting #2: cost 13 inf + 0 591.142 * * [simplify]: Extracting #3: cost 109 inf + 0 591.143 * * [simplify]: Extracting #4: cost 260 inf + 44 591.144 * * [simplify]: Extracting #5: cost 352 inf + 2246 591.148 * * [simplify]: Extracting #6: cost 387 inf + 12040 591.160 * * [simplify]: Extracting #7: cost 307 inf + 48761 591.180 * * [simplify]: Extracting #8: cost 158 inf + 97710 591.208 * * [simplify]: Extracting #9: cost 46 inf + 137482 591.243 * * [simplify]: Extracting #10: cost 20 inf + 153932 591.284 * * [simplify]: Extracting #11: cost 1 inf + 172847 591.324 * * [simplify]: Extracting #12: cost 0 inf + 173392 591.369 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2))) (cbrt (+ lambda1 lambda2)))))) 591.369 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 591.370 * * * * [progress]: [ 2056 / 5906 ] simplifiying candidate # 591.370 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 591.371 * * [simplify]: iters left: 6 (41 enodes) 591.382 * * [simplify]: iters left: 5 (194 enodes) 591.420 * * [simplify]: Extracting #0: cost 1 inf + 0 591.420 * * [simplify]: Extracting #1: cost 3 inf + 0 591.420 * * [simplify]: Extracting #2: cost 10 inf + 0 591.420 * * [simplify]: Extracting #3: cost 72 inf + 0 591.421 * * [simplify]: Extracting #4: cost 127 inf + 1 591.421 * * [simplify]: Extracting #5: cost 158 inf + 168 591.422 * * [simplify]: Extracting #6: cost 193 inf + 1353 591.423 * * [simplify]: Extracting #7: cost 149 inf + 8604 591.428 * * [simplify]: Extracting #8: cost 78 inf + 31063 591.435 * * [simplify]: Extracting #9: cost 40 inf + 46853 591.447 * * [simplify]: Extracting #10: cost 12 inf + 70593 591.463 * * [simplify]: Extracting #11: cost 0 inf + 80053 591.479 * * [simplify]: Extracting #12: cost 0 inf + 79973 591.496 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 591.496 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 591.496 * * * * [progress]: [ 2057 / 5906 ] simplifiying candidate # 591.497 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 591.497 * * [simplify]: iters left: 6 (35 enodes) 591.505 * * [simplify]: iters left: 5 (161 enodes) 591.536 * * [simplify]: iters left: 4 (419 enodes) 591.674 * * [simplify]: Extracting #0: cost 1 inf + 0 591.674 * * [simplify]: Extracting #1: cost 3 inf + 0 591.674 * * [simplify]: Extracting #2: cost 13 inf + 0 591.674 * * [simplify]: Extracting #3: cost 106 inf + 0 591.675 * * [simplify]: Extracting #4: cost 270 inf + 44 591.676 * * [simplify]: Extracting #5: cost 366 inf + 1473 591.679 * * [simplify]: Extracting #6: cost 401 inf + 11996 591.690 * * [simplify]: Extracting #7: cost 302 inf + 52487 591.714 * * [simplify]: Extracting #8: cost 155 inf + 100910 591.743 * * [simplify]: Extracting #9: cost 35 inf + 150103 591.783 * * [simplify]: Extracting #10: cost 6 inf + 172788 591.824 * * [simplify]: Extracting #11: cost 0 inf + 176338 591.865 * * [simplify]: Extracting #12: cost 0 inf + 175818 591.907 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi1 phi2))) (* (- phi1 phi2) (- phi1 phi2))))) 591.908 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi1 phi2))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 591.908 * * * * [progress]: [ 2058 / 5906 ] simplifiying candidate # 591.908 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 591.909 * * [simplify]: iters left: 6 (45 enodes) 591.920 * * [simplify]: iters left: 5 (217 enodes) 591.966 * * [simplify]: Extracting #0: cost 1 inf + 0 591.967 * * [simplify]: Extracting #1: cost 3 inf + 0 591.967 * * [simplify]: Extracting #2: cost 6 inf + 0 591.967 * * [simplify]: Extracting #3: cost 54 inf + 0 591.967 * * [simplify]: Extracting #4: cost 120 inf + 0 591.967 * * [simplify]: Extracting #5: cost 187 inf + 0 591.968 * * [simplify]: Extracting #6: cost 249 inf + 373 591.969 * * [simplify]: Extracting #7: cost 216 inf + 7976 591.973 * * [simplify]: Extracting #8: cost 120 inf + 28715 591.980 * * [simplify]: Extracting #9: cost 74 inf + 43570 591.992 * * [simplify]: Extracting #10: cost 32 inf + 70967 592.011 * * [simplify]: Extracting #11: cost 9 inf + 93618 592.032 * * [simplify]: Extracting #12: cost 0 inf + 103403 592.056 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))))) 592.056 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 592.056 * * * * [progress]: [ 2059 / 5906 ] simplifiying candidate # 592.057 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 592.057 * * [simplify]: iters left: 6 (46 enodes) 592.068 * * [simplify]: iters left: 5 (226 enodes) 592.114 * * [simplify]: Extracting #0: cost 1 inf + 0 592.114 * * [simplify]: Extracting #1: cost 3 inf + 0 592.114 * * [simplify]: Extracting #2: cost 6 inf + 0 592.114 * * [simplify]: Extracting #3: cost 58 inf + 0 592.114 * * [simplify]: Extracting #4: cost 143 inf + 0 592.115 * * [simplify]: Extracting #5: cost 191 inf + 899 592.119 * * [simplify]: Extracting #6: cost 216 inf + 7063 592.121 * * [simplify]: Extracting #7: cost 202 inf + 11361 592.125 * * [simplify]: Extracting #8: cost 123 inf + 29610 592.135 * * [simplify]: Extracting #9: cost 40 inf + 68117 592.154 * * [simplify]: Extracting #10: cost 1 inf + 103395 592.176 * * [simplify]: Extracting #11: cost 0 inf + 105100 592.198 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 592.198 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 592.199 * * * * [progress]: [ 2060 / 5906 ] simplifiying candidate # 592.199 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 592.199 * * [simplify]: iters left: 6 (46 enodes) 592.211 * * [simplify]: iters left: 5 (226 enodes) 592.258 * * [simplify]: Extracting #0: cost 1 inf + 0 592.258 * * [simplify]: Extracting #1: cost 3 inf + 0 592.258 * * [simplify]: Extracting #2: cost 6 inf + 0 592.258 * * [simplify]: Extracting #3: cost 60 inf + 0 592.259 * * [simplify]: Extracting #4: cost 141 inf + 0 592.259 * * [simplify]: Extracting #5: cost 190 inf + 534 592.260 * * [simplify]: Extracting #6: cost 219 inf + 5449 592.263 * * [simplify]: Extracting #7: cost 206 inf + 10177 592.267 * * [simplify]: Extracting #8: cost 121 inf + 31627 592.276 * * [simplify]: Extracting #9: cost 46 inf + 62705 592.297 * * [simplify]: Extracting #10: cost 2 inf + 100002 592.319 * * [simplify]: Extracting #11: cost 0 inf + 102612 592.340 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 592.340 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 592.341 * * * * [progress]: [ 2061 / 5906 ] simplifiying candidate # 592.341 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 592.342 * * [simplify]: iters left: 6 (40 enodes) 592.352 * * [simplify]: iters left: 5 (190 enodes) 592.390 * * [simplify]: Extracting #0: cost 1 inf + 0 592.390 * * [simplify]: Extracting #1: cost 3 inf + 0 592.390 * * [simplify]: Extracting #2: cost 6 inf + 0 592.391 * * [simplify]: Extracting #3: cost 52 inf + 0 592.391 * * [simplify]: Extracting #4: cost 109 inf + 0 592.391 * * [simplify]: Extracting #5: cost 145 inf + 44 592.392 * * [simplify]: Extracting #6: cost 191 inf + 1559 592.393 * * [simplify]: Extracting #7: cost 188 inf + 2742 592.395 * * [simplify]: Extracting #8: cost 136 inf + 15582 592.403 * * [simplify]: Extracting #9: cost 67 inf + 40647 592.415 * * [simplify]: Extracting #10: cost 35 inf + 58824 592.430 * * [simplify]: Extracting #11: cost 6 inf + 74923 592.447 * * [simplify]: Extracting #12: cost 2 inf + 79261 592.464 * * [simplify]: Extracting #13: cost 0 inf + 82271 592.484 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ phi1 phi2) (- phi1 phi2))))))) 592.484 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ phi1 phi2) (- phi1 phi2))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 592.484 * * * * [progress]: [ 2062 / 5906 ] simplifiying candidate # 592.485 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 592.485 * * [simplify]: iters left: 6 (45 enodes) 592.497 * * [simplify]: iters left: 5 (218 enodes) 592.539 * * [simplify]: Extracting #0: cost 1 inf + 0 592.539 * * [simplify]: Extracting #1: cost 3 inf + 0 592.539 * * [simplify]: Extracting #2: cost 10 inf + 0 592.540 * * [simplify]: Extracting #3: cost 72 inf + 0 592.540 * * [simplify]: Extracting #4: cost 126 inf + 42 592.540 * * [simplify]: Extracting #5: cost 164 inf + 332 592.541 * * [simplify]: Extracting #6: cost 214 inf + 2285 592.543 * * [simplify]: Extracting #7: cost 205 inf + 6356 592.548 * * [simplify]: Extracting #8: cost 135 inf + 23825 592.556 * * [simplify]: Extracting #9: cost 59 inf + 53966 592.570 * * [simplify]: Extracting #10: cost 22 inf + 79915 592.589 * * [simplify]: Extracting #11: cost 1 inf + 96137 592.610 * * [simplify]: Extracting #12: cost 0 inf + 97842 592.630 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) 592.631 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 592.632 * * * * [progress]: [ 2063 / 5906 ] simplifiying candidate # 592.633 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 592.633 * * [simplify]: iters left: 6 (40 enodes) 592.643 * * [simplify]: iters left: 5 (190 enodes) 592.679 * * [simplify]: Extracting #0: cost 1 inf + 0 592.679 * * [simplify]: Extracting #1: cost 3 inf + 0 592.679 * * [simplify]: Extracting #2: cost 10 inf + 0 592.680 * * [simplify]: Extracting #3: cost 64 inf + 0 592.680 * * [simplify]: Extracting #4: cost 107 inf + 44 592.680 * * [simplify]: Extracting #5: cost 132 inf + 823 592.681 * * [simplify]: Extracting #6: cost 183 inf + 2689 592.682 * * [simplify]: Extracting #7: cost 185 inf + 3224 592.685 * * [simplify]: Extracting #8: cost 112 inf + 21046 592.694 * * [simplify]: Extracting #9: cost 38 inf + 54012 592.709 * * [simplify]: Extracting #10: cost 5 inf + 75022 592.724 * * [simplify]: Extracting #11: cost 0 inf + 79801 592.742 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))))) 592.742 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 592.743 * * * * [progress]: [ 2064 / 5906 ] simplifiying candidate # 592.743 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 592.744 * * [simplify]: iters left: 6 (45 enodes) 592.754 * * [simplify]: iters left: 5 (218 enodes) 592.797 * * [simplify]: Extracting #0: cost 1 inf + 0 592.797 * * [simplify]: Extracting #1: cost 3 inf + 0 592.797 * * [simplify]: Extracting #2: cost 10 inf + 0 592.798 * * [simplify]: Extracting #3: cost 72 inf + 0 592.798 * * [simplify]: Extracting #4: cost 126 inf + 42 592.798 * * [simplify]: Extracting #5: cost 165 inf + 290 592.799 * * [simplify]: Extracting #6: cost 216 inf + 2043 592.803 * * [simplify]: Extracting #7: cost 203 inf + 7071 592.806 * * [simplify]: Extracting #8: cost 137 inf + 23468 592.814 * * [simplify]: Extracting #9: cost 58 inf + 54168 592.828 * * [simplify]: Extracting #10: cost 24 inf + 79069 592.847 * * [simplify]: Extracting #11: cost 1 inf + 97097 592.867 * * [simplify]: Extracting #12: cost 0 inf + 98802 592.887 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) 592.888 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 592.888 * * * * [progress]: [ 2065 / 5906 ] simplifiying candidate # 592.889 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 592.889 * * [simplify]: iters left: 6 (40 enodes) 592.901 * * [simplify]: iters left: 5 (190 enodes) 592.938 * * [simplify]: Extracting #0: cost 1 inf + 0 592.938 * * [simplify]: Extracting #1: cost 3 inf + 0 592.938 * * [simplify]: Extracting #2: cost 10 inf + 0 592.938 * * [simplify]: Extracting #3: cost 63 inf + 0 592.938 * * [simplify]: Extracting #4: cost 106 inf + 86 592.939 * * [simplify]: Extracting #5: cost 124 inf + 1958 592.940 * * [simplify]: Extracting #6: cost 181 inf + 2932 592.941 * * [simplify]: Extracting #7: cost 183 inf + 3386 592.945 * * [simplify]: Extracting #8: cost 110 inf + 20679 592.954 * * [simplify]: Extracting #9: cost 37 inf + 54517 592.970 * * [simplify]: Extracting #10: cost 2 inf + 79777 592.988 * * [simplify]: Extracting #11: cost 0 inf + 80201 593.004 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))))) 593.004 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 593.005 * * * * [progress]: [ 2066 / 5906 ] simplifiying candidate # 593.005 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 593.005 * * [simplify]: iters left: 6 (52 enodes) 593.018 * * [simplify]: iters left: 5 (254 enodes) 593.072 * * [simplify]: Extracting #0: cost 1 inf + 0 593.072 * * [simplify]: Extracting #1: cost 3 inf + 0 593.072 * * [simplify]: Extracting #2: cost 6 inf + 0 593.072 * * [simplify]: Extracting #3: cost 56 inf + 0 593.073 * * [simplify]: Extracting #4: cost 130 inf + 0 593.073 * * [simplify]: Extracting #5: cost 215 inf + 0 593.074 * * [simplify]: Extracting #6: cost 313 inf + 469 593.075 * * [simplify]: Extracting #7: cost 279 inf + 6607 593.080 * * [simplify]: Extracting #8: cost 134 inf + 44351 593.091 * * [simplify]: Extracting #9: cost 60 inf + 71120 593.112 * * [simplify]: Extracting #10: cost 12 inf + 130350 593.138 * * [simplify]: Extracting #11: cost 1 inf + 135327 593.167 * * [simplify]: Extracting #12: cost 0 inf + 134146 593.193 * * [simplify]: Extracting #13: cost 0 inf + 133605 593.220 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 593.220 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 593.221 * * * * [progress]: [ 2067 / 5906 ] simplifiying candidate # 593.221 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 593.221 * * [simplify]: iters left: 6 (53 enodes) 593.235 * * [simplify]: iters left: 5 (263 enodes) 593.293 * * [simplify]: Extracting #0: cost 1 inf + 0 593.293 * * [simplify]: Extracting #1: cost 3 inf + 0 593.293 * * [simplify]: Extracting #2: cost 6 inf + 0 593.293 * * [simplify]: Extracting #3: cost 60 inf + 0 593.293 * * [simplify]: Extracting #4: cost 153 inf + 0 593.294 * * [simplify]: Extracting #5: cost 228 inf + 86 593.295 * * [simplify]: Extracting #6: cost 288 inf + 4560 593.298 * * [simplify]: Extracting #7: cost 249 inf + 13958 593.302 * * [simplify]: Extracting #8: cost 152 inf + 35769 593.316 * * [simplify]: Extracting #9: cost 67 inf + 69893 593.338 * * [simplify]: Extracting #10: cost 10 inf + 138680 593.364 * * [simplify]: Extracting #11: cost 0 inf + 137266 593.391 * * [simplify]: Extracting #12: cost 0 inf + 135102 593.418 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))))) 593.419 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 593.419 * * * * [progress]: [ 2068 / 5906 ] simplifiying candidate # 593.419 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 593.420 * * [simplify]: iters left: 6 (53 enodes) 593.433 * * [simplify]: iters left: 5 (263 enodes) 593.489 * * [simplify]: Extracting #0: cost 1 inf + 0 593.489 * * [simplify]: Extracting #1: cost 3 inf + 0 593.489 * * [simplify]: Extracting #2: cost 6 inf + 0 593.490 * * [simplify]: Extracting #3: cost 62 inf + 0 593.490 * * [simplify]: Extracting #4: cost 151 inf + 0 593.490 * * [simplify]: Extracting #5: cost 223 inf + 128 593.492 * * [simplify]: Extracting #6: cost 288 inf + 3833 593.494 * * [simplify]: Extracting #7: cost 256 inf + 12305 593.499 * * [simplify]: Extracting #8: cost 154 inf + 37568 593.509 * * [simplify]: Extracting #9: cost 71 inf + 64591 593.531 * * [simplify]: Extracting #10: cost 8 inf + 123574 593.558 * * [simplify]: Extracting #11: cost 0 inf + 132934 593.586 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))))) 593.587 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 593.587 * * * * [progress]: [ 2069 / 5906 ] simplifiying candidate # 593.588 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 593.588 * * [simplify]: iters left: 6 (47 enodes) 593.601 * * [simplify]: iters left: 5 (227 enodes) 593.646 * * [simplify]: Extracting #0: cost 1 inf + 0 593.646 * * [simplify]: Extracting #1: cost 3 inf + 0 593.646 * * [simplify]: Extracting #2: cost 6 inf + 0 593.646 * * [simplify]: Extracting #3: cost 54 inf + 0 593.646 * * [simplify]: Extracting #4: cost 119 inf + 0 593.647 * * [simplify]: Extracting #5: cost 170 inf + 370 593.648 * * [simplify]: Extracting #6: cost 246 inf + 2368 593.649 * * [simplify]: Extracting #7: cost 235 inf + 4486 593.655 * * [simplify]: Extracting #8: cost 145 inf + 24946 593.663 * * [simplify]: Extracting #9: cost 76 inf + 47817 593.679 * * [simplify]: Extracting #10: cost 17 inf + 90388 593.699 * * [simplify]: Extracting #11: cost 1 inf + 105408 593.721 * * [simplify]: Extracting #12: cost 0 inf + 107233 593.743 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 593.743 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 593.743 * * * * [progress]: [ 2070 / 5906 ] simplifiying candidate # 593.744 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 593.744 * * [simplify]: iters left: 6 (52 enodes) 593.759 * * [simplify]: iters left: 5 (255 enodes) 593.810 * * [simplify]: Extracting #0: cost 1 inf + 0 593.810 * * [simplify]: Extracting #1: cost 3 inf + 0 593.810 * * [simplify]: Extracting #2: cost 10 inf + 0 593.810 * * [simplify]: Extracting #3: cost 74 inf + 0 593.810 * * [simplify]: Extracting #4: cost 137 inf + 1 593.811 * * [simplify]: Extracting #5: cost 194 inf + 248 593.812 * * [simplify]: Extracting #6: cost 276 inf + 2643 593.814 * * [simplify]: Extracting #7: cost 252 inf + 7175 593.820 * * [simplify]: Extracting #8: cost 154 inf + 29536 593.828 * * [simplify]: Extracting #9: cost 71 inf + 60122 593.846 * * [simplify]: Extracting #10: cost 21 inf + 102914 593.870 * * [simplify]: Extracting #11: cost 1 inf + 121139 593.896 * * [simplify]: Extracting #12: cost 0 inf + 123164 593.923 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 593.923 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 593.923 * * * * [progress]: [ 2071 / 5906 ] simplifiying candidate # 593.924 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 593.924 * * [simplify]: iters left: 6 (47 enodes) 593.936 * * [simplify]: iters left: 5 (227 enodes) 593.980 * * [simplify]: Extracting #0: cost 1 inf + 0 593.980 * * [simplify]: Extracting #1: cost 3 inf + 0 593.980 * * [simplify]: Extracting #2: cost 10 inf + 0 593.980 * * [simplify]: Extracting #3: cost 66 inf + 0 593.980 * * [simplify]: Extracting #4: cost 116 inf + 86 593.981 * * [simplify]: Extracting #5: cost 155 inf + 1392 593.982 * * [simplify]: Extracting #6: cost 241 inf + 2932 593.983 * * [simplify]: Extracting #7: cost 237 inf + 3915 593.987 * * [simplify]: Extracting #8: cost 136 inf + 25816 593.998 * * [simplify]: Extracting #9: cost 49 inf + 61700 594.015 * * [simplify]: Extracting #10: cost 7 inf + 96908 594.036 * * [simplify]: Extracting #11: cost 1 inf + 103578 594.057 * * [simplify]: Extracting #12: cost 0 inf + 105363 594.078 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 594.078 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 594.079 * * * * [progress]: [ 2072 / 5906 ] simplifiying candidate # 594.079 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 594.080 * * [simplify]: iters left: 6 (52 enodes) 594.094 * * [simplify]: iters left: 5 (255 enodes) 594.144 * * [simplify]: Extracting #0: cost 1 inf + 0 594.144 * * [simplify]: Extracting #1: cost 3 inf + 0 594.144 * * [simplify]: Extracting #2: cost 10 inf + 0 594.145 * * [simplify]: Extracting #3: cost 74 inf + 0 594.145 * * [simplify]: Extracting #4: cost 137 inf + 1 594.145 * * [simplify]: Extracting #5: cost 194 inf + 248 594.146 * * [simplify]: Extracting #6: cost 278 inf + 1638 594.148 * * [simplify]: Extracting #7: cost 257 inf + 6006 594.152 * * [simplify]: Extracting #8: cost 149 inf + 30368 594.163 * * [simplify]: Extracting #9: cost 71 inf + 60042 594.181 * * [simplify]: Extracting #10: cost 21 inf + 103474 594.205 * * [simplify]: Extracting #11: cost 1 inf + 122099 594.232 * * [simplify]: Extracting #12: cost 0 inf + 124124 594.258 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 594.258 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 594.258 * * * * [progress]: [ 2073 / 5906 ] simplifiying candidate # 594.259 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 594.259 * * [simplify]: iters left: 6 (47 enodes) 594.272 * * [simplify]: iters left: 5 (227 enodes) 594.315 * * [simplify]: Extracting #0: cost 1 inf + 0 594.316 * * [simplify]: Extracting #1: cost 3 inf + 0 594.316 * * [simplify]: Extracting #2: cost 10 inf + 0 594.316 * * [simplify]: Extracting #3: cost 65 inf + 0 594.316 * * [simplify]: Extracting #4: cost 117 inf + 44 594.316 * * [simplify]: Extracting #5: cost 162 inf + 618 594.317 * * [simplify]: Extracting #6: cost 242 inf + 2770 594.319 * * [simplify]: Extracting #7: cost 237 inf + 3915 594.322 * * [simplify]: Extracting #8: cost 137 inf + 25249 594.334 * * [simplify]: Extracting #9: cost 48 inf + 62704 594.351 * * [simplify]: Extracting #10: cost 8 inf + 97096 594.371 * * [simplify]: Extracting #11: cost 1 inf + 103978 594.392 * * [simplify]: Extracting #12: cost 0 inf + 105763 594.413 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 594.413 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 594.414 * * * * [progress]: [ 2074 / 5906 ] simplifiying candidate # 594.414 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 594.415 * * [simplify]: iters left: 6 (52 enodes) 594.428 * * [simplify]: iters left: 5 (253 enodes) 594.480 * * [simplify]: Extracting #0: cost 1 inf + 0 594.480 * * [simplify]: Extracting #1: cost 3 inf + 0 594.480 * * [simplify]: Extracting #2: cost 6 inf + 0 594.480 * * [simplify]: Extracting #3: cost 56 inf + 0 594.480 * * [simplify]: Extracting #4: cost 130 inf + 0 594.481 * * [simplify]: Extracting #5: cost 216 inf + 0 594.482 * * [simplify]: Extracting #6: cost 305 inf + 681 594.483 * * [simplify]: Extracting #7: cost 260 inf + 9844 594.488 * * [simplify]: Extracting #8: cost 150 inf + 36270 594.498 * * [simplify]: Extracting #9: cost 89 inf + 52014 594.510 * * [simplify]: Extracting #10: cost 57 inf + 70445 594.531 * * [simplify]: Extracting #11: cost 12 inf + 114992 594.557 * * [simplify]: Extracting #12: cost 1 inf + 128703 594.583 * * [simplify]: Extracting #13: cost 0 inf + 130728 594.609 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 594.609 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 594.610 * * * * [progress]: [ 2075 / 5906 ] simplifiying candidate # 594.610 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 594.611 * * [simplify]: iters left: 6 (53 enodes) 594.624 * * [simplify]: iters left: 5 (262 enodes) 594.680 * * [simplify]: Extracting #0: cost 1 inf + 0 594.680 * * [simplify]: Extracting #1: cost 3 inf + 0 594.680 * * [simplify]: Extracting #2: cost 6 inf + 0 594.681 * * [simplify]: Extracting #3: cost 60 inf + 0 594.681 * * [simplify]: Extracting #4: cost 153 inf + 0 594.681 * * [simplify]: Extracting #5: cost 230 inf + 44 594.683 * * [simplify]: Extracting #6: cost 284 inf + 4037 594.685 * * [simplify]: Extracting #7: cost 257 inf + 11058 594.690 * * [simplify]: Extracting #8: cost 154 inf + 36083 594.707 * * [simplify]: Extracting #9: cost 30 inf + 104779 594.732 * * [simplify]: Extracting #10: cost 3 inf + 127630 594.760 * * [simplify]: Extracting #11: cost 0 inf + 133905 594.787 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))))) 594.787 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 594.788 * * * * [progress]: [ 2076 / 5906 ] simplifiying candidate # 594.788 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 594.788 * * [simplify]: iters left: 6 (53 enodes) 594.801 * * [simplify]: iters left: 5 (262 enodes) 594.862 * * [simplify]: Extracting #0: cost 1 inf + 0 594.862 * * [simplify]: Extracting #1: cost 3 inf + 0 594.862 * * [simplify]: Extracting #2: cost 6 inf + 0 594.862 * * [simplify]: Extracting #3: cost 62 inf + 0 594.863 * * [simplify]: Extracting #4: cost 151 inf + 0 594.863 * * [simplify]: Extracting #5: cost 224 inf + 208 594.865 * * [simplify]: Extracting #6: cost 279 inf + 4757 594.867 * * [simplify]: Extracting #7: cost 250 inf + 11169 594.873 * * [simplify]: Extracting #8: cost 136 inf + 43843 594.889 * * [simplify]: Extracting #9: cost 36 inf + 107577 594.914 * * [simplify]: Extracting #10: cost 1 inf + 134076 594.943 * * [simplify]: Extracting #11: cost 0 inf + 133017 594.969 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))))) 594.969 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 594.970 * * * * [progress]: [ 2077 / 5906 ] simplifiying candidate # 594.970 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 594.971 * * [simplify]: iters left: 6 (47 enodes) 594.982 * * [simplify]: iters left: 5 (226 enodes) 595.030 * * [simplify]: Extracting #0: cost 1 inf + 0 595.030 * * [simplify]: Extracting #1: cost 3 inf + 0 595.030 * * [simplify]: Extracting #2: cost 6 inf + 0 595.030 * * [simplify]: Extracting #3: cost 54 inf + 0 595.030 * * [simplify]: Extracting #4: cost 119 inf + 0 595.031 * * [simplify]: Extracting #5: cost 169 inf + 492 595.032 * * [simplify]: Extracting #6: cost 237 inf + 2852 595.033 * * [simplify]: Extracting #7: cost 229 inf + 4283 595.037 * * [simplify]: Extracting #8: cost 137 inf + 24982 595.047 * * [simplify]: Extracting #9: cost 61 inf + 60501 595.064 * * [simplify]: Extracting #10: cost 9 inf + 95771 595.085 * * [simplify]: Extracting #11: cost 1 inf + 103731 595.109 * * [simplify]: Extracting #12: cost 0 inf + 105556 595.131 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 595.131 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 595.131 * * * * [progress]: [ 2078 / 5906 ] simplifiying candidate # 595.132 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 595.132 * * [simplify]: iters left: 6 (52 enodes) 595.145 * * [simplify]: iters left: 5 (254 enodes) 595.199 * * [simplify]: Extracting #0: cost 1 inf + 0 595.199 * * [simplify]: Extracting #1: cost 3 inf + 0 595.199 * * [simplify]: Extracting #2: cost 10 inf + 0 595.199 * * [simplify]: Extracting #3: cost 74 inf + 0 595.200 * * [simplify]: Extracting #4: cost 137 inf + 1 595.200 * * [simplify]: Extracting #5: cost 196 inf + 207 595.201 * * [simplify]: Extracting #6: cost 269 inf + 2042 595.203 * * [simplify]: Extracting #7: cost 247 inf + 6982 595.207 * * [simplify]: Extracting #8: cost 147 inf + 30507 595.215 * * [simplify]: Extracting #9: cost 74 inf + 56552 595.234 * * [simplify]: Extracting #10: cost 14 inf + 105381 595.258 * * [simplify]: Extracting #11: cost 1 inf + 119702 595.286 * * [simplify]: Extracting #12: cost 0 inf + 121727 595.311 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 595.311 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 595.312 * * * * [progress]: [ 2079 / 5906 ] simplifiying candidate # 595.312 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 595.313 * * [simplify]: iters left: 6 (47 enodes) 595.324 * * [simplify]: iters left: 5 (226 enodes) 595.370 * * [simplify]: Extracting #0: cost 1 inf + 0 595.370 * * [simplify]: Extracting #1: cost 3 inf + 0 595.370 * * [simplify]: Extracting #2: cost 10 inf + 0 595.370 * * [simplify]: Extracting #3: cost 66 inf + 0 595.370 * * [simplify]: Extracting #4: cost 116 inf + 86 595.371 * * [simplify]: Extracting #5: cost 157 inf + 1350 595.372 * * [simplify]: Extracting #6: cost 234 inf + 2932 595.373 * * [simplify]: Extracting #7: cost 230 inf + 3917 595.377 * * [simplify]: Extracting #8: cost 134 inf + 25508 595.387 * * [simplify]: Extracting #9: cost 56 inf + 59000 595.404 * * [simplify]: Extracting #10: cost 4 inf + 98066 595.429 * * [simplify]: Extracting #11: cost 0 inf + 104086 595.453 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 595.453 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 595.454 * * * * [progress]: [ 2080 / 5906 ] simplifiying candidate # 595.454 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 595.454 * * [simplify]: iters left: 6 (52 enodes) 595.468 * * [simplify]: iters left: 5 (254 enodes) 595.518 * * [simplify]: Extracting #0: cost 1 inf + 0 595.518 * * [simplify]: Extracting #1: cost 3 inf + 0 595.518 * * [simplify]: Extracting #2: cost 10 inf + 0 595.518 * * [simplify]: Extracting #3: cost 74 inf + 0 595.519 * * [simplify]: Extracting #4: cost 137 inf + 1 595.519 * * [simplify]: Extracting #5: cost 196 inf + 207 595.523 * * [simplify]: Extracting #6: cost 261 inf + 4417 595.525 * * [simplify]: Extracting #7: cost 244 inf + 7708 595.529 * * [simplify]: Extracting #8: cost 144 inf + 30723 595.537 * * [simplify]: Extracting #9: cost 73 inf + 57116 595.555 * * [simplify]: Extracting #10: cost 14 inf + 105941 595.580 * * [simplify]: Extracting #11: cost 1 inf + 120662 595.605 * * [simplify]: Extracting #12: cost 0 inf + 122687 595.632 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 595.632 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 595.632 * * * * [progress]: [ 2081 / 5906 ] simplifiying candidate # 595.633 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 595.633 * * [simplify]: iters left: 6 (47 enodes) 595.645 * * [simplify]: iters left: 5 (226 enodes) 595.688 * * [simplify]: Extracting #0: cost 1 inf + 0 595.688 * * [simplify]: Extracting #1: cost 3 inf + 0 595.688 * * [simplify]: Extracting #2: cost 10 inf + 0 595.688 * * [simplify]: Extracting #3: cost 65 inf + 0 595.689 * * [simplify]: Extracting #4: cost 117 inf + 44 595.689 * * [simplify]: Extracting #5: cost 164 inf + 496 595.690 * * [simplify]: Extracting #6: cost 236 inf + 2608 595.691 * * [simplify]: Extracting #7: cost 232 inf + 3713 595.697 * * [simplify]: Extracting #8: cost 140 inf + 24212 595.706 * * [simplify]: Extracting #9: cost 58 inf + 57853 595.723 * * [simplify]: Extracting #10: cost 4 inf + 98466 595.745 * * [simplify]: Extracting #11: cost 0 inf + 104486 595.767 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) 595.767 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 595.767 * * * * [progress]: [ 2082 / 5906 ] simplifiying candidate # 595.768 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 595.768 * * [simplify]: iters left: 6 (52 enodes) 595.781 * * [simplify]: iters left: 5 (254 enodes) 595.833 * * [simplify]: Extracting #0: cost 1 inf + 0 595.833 * * [simplify]: Extracting #1: cost 3 inf + 0 595.833 * * [simplify]: Extracting #2: cost 6 inf + 0 595.833 * * [simplify]: Extracting #3: cost 56 inf + 0 595.834 * * [simplify]: Extracting #4: cost 130 inf + 0 595.834 * * [simplify]: Extracting #5: cost 208 inf + 0 595.835 * * [simplify]: Extracting #6: cost 300 inf + 469 595.836 * * [simplify]: Extracting #7: cost 257 inf + 9965 595.841 * * [simplify]: Extracting #8: cost 149 inf + 37200 595.851 * * [simplify]: Extracting #9: cost 63 inf + 64069 595.872 * * [simplify]: Extracting #10: cost 14 inf + 108955 595.896 * * [simplify]: Extracting #11: cost 0 inf + 126865 595.921 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))))) 595.921 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 595.922 * * * * [progress]: [ 2083 / 5906 ] simplifiying candidate # 595.922 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 595.922 * * [simplify]: iters left: 6 (53 enodes) 595.935 * * [simplify]: iters left: 5 (263 enodes) 595.990 * * [simplify]: Extracting #0: cost 1 inf + 0 595.990 * * [simplify]: Extracting #1: cost 3 inf + 0 595.990 * * [simplify]: Extracting #2: cost 6 inf + 0 595.990 * * [simplify]: Extracting #3: cost 60 inf + 0 595.991 * * [simplify]: Extracting #4: cost 153 inf + 0 595.991 * * [simplify]: Extracting #5: cost 220 inf + 168 595.993 * * [simplify]: Extracting #6: cost 273 inf + 4887 595.995 * * [simplify]: Extracting #7: cost 244 inf + 12189 596.000 * * [simplify]: Extracting #8: cost 153 inf + 33259 596.009 * * [simplify]: Extracting #9: cost 75 inf + 61229 596.025 * * [simplify]: Extracting #10: cost 38 inf + 84536 596.046 * * [simplify]: Extracting #11: cost 8 inf + 118282 596.072 * * [simplify]: Extracting #12: cost 0 inf + 129522 596.097 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))))) 596.097 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 596.097 * * * * [progress]: [ 2084 / 5906 ] simplifiying candidate # 596.098 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 596.098 * * [simplify]: iters left: 6 (53 enodes) 596.113 * * [simplify]: iters left: 5 (263 enodes) 596.166 * * [simplify]: Extracting #0: cost 1 inf + 0 596.166 * * [simplify]: Extracting #1: cost 3 inf + 0 596.166 * * [simplify]: Extracting #2: cost 6 inf + 0 596.167 * * [simplify]: Extracting #3: cost 62 inf + 0 596.167 * * [simplify]: Extracting #4: cost 151 inf + 0 596.167 * * [simplify]: Extracting #5: cost 217 inf + 86 596.169 * * [simplify]: Extracting #6: cost 277 inf + 3950 596.171 * * [simplify]: Extracting #7: cost 242 inf + 11483 596.176 * * [simplify]: Extracting #8: cost 158 inf + 32986 596.187 * * [simplify]: Extracting #9: cost 67 inf + 63567 596.206 * * [simplify]: Extracting #10: cost 16 inf + 108497 596.230 * * [simplify]: Extracting #11: cost 0 inf + 125754 596.253 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))))) 596.254 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 596.254 * * * * [progress]: [ 2085 / 5906 ] simplifiying candidate # 596.254 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 596.255 * * [simplify]: iters left: 6 (47 enodes) 596.266 * * [simplify]: iters left: 5 (227 enodes) 596.311 * * [simplify]: Extracting #0: cost 1 inf + 0 596.311 * * [simplify]: Extracting #1: cost 3 inf + 0 596.311 * * [simplify]: Extracting #2: cost 6 inf + 0 596.311 * * [simplify]: Extracting #3: cost 54 inf + 0 596.311 * * [simplify]: Extracting #4: cost 119 inf + 0 596.312 * * [simplify]: Extracting #5: cost 166 inf + 44 596.312 * * [simplify]: Extracting #6: cost 238 inf + 1397 596.314 * * [simplify]: Extracting #7: cost 225 inf + 3960 596.317 * * [simplify]: Extracting #8: cost 161 inf + 18015 596.323 * * [simplify]: Extracting #9: cost 80 inf + 43346 596.338 * * [simplify]: Extracting #10: cost 24 inf + 81393 596.360 * * [simplify]: Extracting #11: cost 1 inf + 101108 596.382 * * [simplify]: Extracting #12: cost 0 inf + 102973 596.403 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 596.403 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 596.403 * * * * [progress]: [ 2086 / 5906 ] simplifiying candidate # 596.404 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 596.404 * * [simplify]: iters left: 6 (52 enodes) 596.417 * * [simplify]: iters left: 5 (255 enodes) 596.468 * * [simplify]: Extracting #0: cost 1 inf + 0 596.468 * * [simplify]: Extracting #1: cost 3 inf + 0 596.468 * * [simplify]: Extracting #2: cost 10 inf + 0 596.468 * * [simplify]: Extracting #3: cost 74 inf + 0 596.468 * * [simplify]: Extracting #4: cost 137 inf + 1 596.469 * * [simplify]: Extracting #5: cost 187 inf + 248 596.469 * * [simplify]: Extracting #6: cost 264 inf + 1960 596.471 * * [simplify]: Extracting #7: cost 243 inf + 6457 596.475 * * [simplify]: Extracting #8: cost 137 inf + 36833 596.485 * * [simplify]: Extracting #9: cost 65 inf + 62332 596.504 * * [simplify]: Extracting #10: cost 7 inf + 108811 596.530 * * [simplify]: Extracting #11: cost 0 inf + 118384 596.555 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 596.555 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 596.555 * * * * [progress]: [ 2087 / 5906 ] simplifiying candidate # 596.555 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 596.556 * * [simplify]: iters left: 6 (47 enodes) 596.567 * * [simplify]: iters left: 5 (227 enodes) 596.612 * * [simplify]: Extracting #0: cost 1 inf + 0 596.612 * * [simplify]: Extracting #1: cost 3 inf + 0 596.612 * * [simplify]: Extracting #2: cost 10 inf + 0 596.612 * * [simplify]: Extracting #3: cost 66 inf + 0 596.612 * * [simplify]: Extracting #4: cost 116 inf + 86 596.613 * * [simplify]: Extracting #5: cost 147 inf + 1554 596.614 * * [simplify]: Extracting #6: cost 228 inf + 2932 596.615 * * [simplify]: Extracting #7: cost 218 inf + 5133 596.619 * * [simplify]: Extracting #8: cost 124 inf + 27906 596.628 * * [simplify]: Extracting #9: cost 54 inf + 58420 596.645 * * [simplify]: Extracting #10: cost 4 inf + 96269 596.664 * * [simplify]: Extracting #11: cost 1 inf + 98478 596.689 * * [simplify]: Extracting #12: cost 0 inf + 100263 596.709 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 596.709 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 596.710 * * * * [progress]: [ 2088 / 5906 ] simplifiying candidate # 596.710 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 596.710 * * [simplify]: iters left: 6 (52 enodes) 596.723 * * [simplify]: iters left: 5 (255 enodes) 596.775 * * [simplify]: Extracting #0: cost 1 inf + 0 596.775 * * [simplify]: Extracting #1: cost 3 inf + 0 596.775 * * [simplify]: Extracting #2: cost 10 inf + 0 596.775 * * [simplify]: Extracting #3: cost 74 inf + 0 596.775 * * [simplify]: Extracting #4: cost 137 inf + 1 596.776 * * [simplify]: Extracting #5: cost 187 inf + 248 596.776 * * [simplify]: Extracting #6: cost 268 inf + 1313 596.778 * * [simplify]: Extracting #7: cost 248 inf + 5177 596.782 * * [simplify]: Extracting #8: cost 137 inf + 36702 596.792 * * [simplify]: Extracting #9: cost 67 inf + 61286 596.811 * * [simplify]: Extracting #10: cost 13 inf + 105593 596.834 * * [simplify]: Extracting #11: cost 0 inf + 119344 596.861 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 596.861 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 596.863 * * * * [progress]: [ 2089 / 5906 ] simplifiying candidate # 596.863 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 596.863 * * [simplify]: iters left: 6 (47 enodes) 596.875 * * [simplify]: iters left: 5 (227 enodes) 596.918 * * [simplify]: Extracting #0: cost 1 inf + 0 596.918 * * [simplify]: Extracting #1: cost 3 inf + 0 596.918 * * [simplify]: Extracting #2: cost 10 inf + 0 596.918 * * [simplify]: Extracting #3: cost 65 inf + 0 596.918 * * [simplify]: Extracting #4: cost 117 inf + 44 596.918 * * [simplify]: Extracting #5: cost 154 inf + 780 596.919 * * [simplify]: Extracting #6: cost 229 inf + 2770 596.921 * * [simplify]: Extracting #7: cost 218 inf + 5012 596.927 * * [simplify]: Extracting #8: cost 129 inf + 26048 596.935 * * [simplify]: Extracting #9: cost 56 inf + 55341 596.950 * * [simplify]: Extracting #10: cost 11 inf + 90774 596.969 * * [simplify]: Extracting #11: cost 1 inf + 98958 596.989 * * [simplify]: Extracting #12: cost 0 inf + 100743 597.010 * * [simplify]: Extracting #13: cost 0 inf + 100663 597.031 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)))) 597.031 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 597.032 * * * * [progress]: [ 2090 / 5906 ] simplifiying candidate # 597.032 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 597.032 * * [simplify]: iters left: 6 (45 enodes) 597.044 * * [simplify]: iters left: 5 (213 enodes) 597.086 * * [simplify]: Extracting #0: cost 1 inf + 0 597.086 * * [simplify]: Extracting #1: cost 3 inf + 0 597.086 * * [simplify]: Extracting #2: cost 6 inf + 0 597.086 * * [simplify]: Extracting #3: cost 48 inf + 0 597.086 * * [simplify]: Extracting #4: cost 112 inf + 0 597.087 * * [simplify]: Extracting #5: cost 179 inf + 0 597.088 * * [simplify]: Extracting #6: cost 237 inf + 1352 597.089 * * [simplify]: Extracting #7: cost 203 inf + 8724 597.092 * * [simplify]: Extracting #8: cost 139 inf + 20652 597.100 * * [simplify]: Extracting #9: cost 75 inf + 41914 597.111 * * [simplify]: Extracting #10: cost 30 inf + 67840 597.127 * * [simplify]: Extracting #11: cost 11 inf + 86534 597.147 * * [simplify]: Extracting #12: cost 0 inf + 98969 597.166 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) 597.166 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 597.167 * * * * [progress]: [ 2091 / 5906 ] simplifiying candidate # 597.168 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 597.168 * * [simplify]: iters left: 6 (46 enodes) 597.179 * * [simplify]: iters left: 5 (222 enodes) 597.226 * * [simplify]: Extracting #0: cost 1 inf + 0 597.226 * * [simplify]: Extracting #1: cost 3 inf + 0 597.226 * * [simplify]: Extracting #2: cost 6 inf + 0 597.226 * * [simplify]: Extracting #3: cost 52 inf + 0 597.226 * * [simplify]: Extracting #4: cost 135 inf + 0 597.227 * * [simplify]: Extracting #5: cost 184 inf + 858 597.228 * * [simplify]: Extracting #6: cost 212 inf + 6335 597.231 * * [simplify]: Extracting #7: cost 190 inf + 13022 597.234 * * [simplify]: Extracting #8: cost 139 inf + 25984 597.242 * * [simplify]: Extracting #9: cost 67 inf + 51202 597.258 * * [simplify]: Extracting #10: cost 12 inf + 91600 597.280 * * [simplify]: Extracting #11: cost 1 inf + 100062 597.301 * * [simplify]: Extracting #12: cost 0 inf + 100786 597.322 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 597.322 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 597.323 * * * * [progress]: [ 2092 / 5906 ] simplifiying candidate # 597.324 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 597.324 * * [simplify]: iters left: 6 (46 enodes) 597.335 * * [simplify]: iters left: 5 (222 enodes) 597.382 * * [simplify]: Extracting #0: cost 1 inf + 0 597.382 * * [simplify]: Extracting #1: cost 3 inf + 0 597.382 * * [simplify]: Extracting #2: cost 6 inf + 0 597.382 * * [simplify]: Extracting #3: cost 54 inf + 0 597.382 * * [simplify]: Extracting #4: cost 133 inf + 0 597.383 * * [simplify]: Extracting #5: cost 182 inf + 534 597.384 * * [simplify]: Extracting #6: cost 216 inf + 4600 597.386 * * [simplify]: Extracting #7: cost 186 inf + 13554 597.390 * * [simplify]: Extracting #8: cost 126 inf + 28071 597.399 * * [simplify]: Extracting #9: cost 41 inf + 61567 597.416 * * [simplify]: Extracting #10: cost 5 inf + 91714 597.438 * * [simplify]: Extracting #11: cost 0 inf + 98498 597.457 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 597.457 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 597.458 * * * * [progress]: [ 2093 / 5906 ] simplifiying candidate # 597.458 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 597.458 * * [simplify]: iters left: 6 (40 enodes) 597.468 * * [simplify]: iters left: 5 (186 enodes) 597.503 * * [simplify]: Extracting #0: cost 1 inf + 0 597.503 * * [simplify]: Extracting #1: cost 3 inf + 0 597.503 * * [simplify]: Extracting #2: cost 6 inf + 0 597.503 * * [simplify]: Extracting #3: cost 46 inf + 0 597.503 * * [simplify]: Extracting #4: cost 101 inf + 0 597.504 * * [simplify]: Extracting #5: cost 137 inf + 44 597.504 * * [simplify]: Extracting #6: cost 179 inf + 2286 597.505 * * [simplify]: Extracting #7: cost 177 inf + 3348 597.510 * * [simplify]: Extracting #8: cost 88 inf + 30852 597.522 * * [simplify]: Extracting #9: cost 30 inf + 55660 597.536 * * [simplify]: Extracting #10: cost 6 inf + 74913 597.553 * * [simplify]: Extracting #11: cost 0 inf + 78757 597.569 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ phi1 phi2))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))))) 597.569 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ phi1 phi2))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 597.570 * * * * [progress]: [ 2094 / 5906 ] simplifiying candidate # 597.570 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 597.570 * * [simplify]: iters left: 6 (45 enodes) 597.581 * * [simplify]: iters left: 5 (215 enodes) 597.626 * * [simplify]: Extracting #0: cost 1 inf + 0 597.626 * * [simplify]: Extracting #1: cost 3 inf + 0 597.626 * * [simplify]: Extracting #2: cost 10 inf + 0 597.626 * * [simplify]: Extracting #3: cost 62 inf + 0 597.627 * * [simplify]: Extracting #4: cost 115 inf + 42 597.627 * * [simplify]: Extracting #5: cost 152 inf + 414 597.628 * * [simplify]: Extracting #6: cost 203 inf + 2285 597.629 * * [simplify]: Extracting #7: cost 185 inf + 8124 597.633 * * [simplify]: Extracting #8: cost 107 inf + 28848 597.642 * * [simplify]: Extracting #9: cost 38 inf + 57338 597.657 * * [simplify]: Extracting #10: cost 5 inf + 84448 597.675 * * [simplify]: Extracting #11: cost 0 inf + 92053 597.695 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) 597.696 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 597.696 * * * * [progress]: [ 2095 / 5906 ] simplifiying candidate # 597.696 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 597.697 * * [simplify]: iters left: 6 (40 enodes) 597.707 * * [simplify]: iters left: 5 (187 enodes) 597.742 * * [simplify]: iters left: 4 (483 enodes) 597.897 * * [simplify]: Extracting #0: cost 1 inf + 0 597.898 * * [simplify]: Extracting #1: cost 3 inf + 0 597.898 * * [simplify]: Extracting #2: cost 13 inf + 0 597.898 * * [simplify]: Extracting #3: cost 110 inf + 0 597.898 * * [simplify]: Extracting #4: cost 242 inf + 85 597.900 * * [simplify]: Extracting #5: cost 343 inf + 2770 597.902 * * [simplify]: Extracting #6: cost 458 inf + 6390 597.906 * * [simplify]: Extracting #7: cost 560 inf + 10580 597.920 * * [simplify]: Extracting #8: cost 315 inf + 84746 597.965 * * [simplify]: Extracting #9: cost 78 inf + 205380 598.016 * * [simplify]: Extracting #10: cost 6 inf + 244841 598.070 * * [simplify]: Extracting #11: cost 0 inf + 247497 598.122 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (+ phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) 598.123 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (+ phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 598.123 * * * * [progress]: [ 2096 / 5906 ] simplifiying candidate # 598.124 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 598.124 * * [simplify]: iters left: 6 (45 enodes) 598.135 * * [simplify]: iters left: 5 (215 enodes) 598.177 * * [simplify]: Extracting #0: cost 1 inf + 0 598.177 * * [simplify]: Extracting #1: cost 3 inf + 0 598.177 * * [simplify]: Extracting #2: cost 10 inf + 0 598.177 * * [simplify]: Extracting #3: cost 62 inf + 0 598.178 * * [simplify]: Extracting #4: cost 115 inf + 42 598.178 * * [simplify]: Extracting #5: cost 153 inf + 372 598.179 * * [simplify]: Extracting #6: cost 204 inf + 2285 598.180 * * [simplify]: Extracting #7: cost 186 inf + 7540 598.184 * * [simplify]: Extracting #8: cost 106 inf + 29420 598.192 * * [simplify]: Extracting #9: cost 36 inf + 58807 598.207 * * [simplify]: Extracting #10: cost 5 inf + 85248 598.227 * * [simplify]: Extracting #11: cost 0 inf + 92853 598.246 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) 598.246 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 598.246 * * * * [progress]: [ 2097 / 5906 ] simplifiying candidate # 598.246 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 598.247 * * [simplify]: iters left: 6 (40 enodes) 598.257 * * [simplify]: iters left: 5 (187 enodes) 598.293 * * [simplify]: iters left: 4 (483 enodes) 598.450 * * [simplify]: Extracting #0: cost 1 inf + 0 598.450 * * [simplify]: Extracting #1: cost 3 inf + 0 598.450 * * [simplify]: Extracting #2: cost 13 inf + 0 598.450 * * [simplify]: Extracting #3: cost 107 inf + 0 598.451 * * [simplify]: Extracting #4: cost 250 inf + 85 598.453 * * [simplify]: Extracting #5: cost 349 inf + 2689 598.455 * * [simplify]: Extracting #6: cost 464 inf + 6228 598.459 * * [simplify]: Extracting #7: cost 568 inf + 9934 598.472 * * [simplify]: Extracting #8: cost 340 inf + 78461 598.512 * * [simplify]: Extracting #9: cost 75 inf + 205921 598.565 * * [simplify]: Extracting #10: cost 7 inf + 245743 598.622 * * [simplify]: Extracting #11: cost 0 inf + 249675 598.675 * * [simplify]: Extracting #12: cost 0 inf + 249635 598.730 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) 598.730 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 598.731 * * * * [progress]: [ 2098 / 5906 ] simplifiying candidate # 598.731 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 598.731 * * [simplify]: iters left: 6 (51 enodes) 598.743 * * [simplify]: iters left: 5 (244 enodes) 598.793 * * [simplify]: Extracting #0: cost 1 inf + 0 598.793 * * [simplify]: Extracting #1: cost 3 inf + 0 598.793 * * [simplify]: Extracting #2: cost 6 inf + 0 598.793 * * [simplify]: Extracting #3: cost 56 inf + 0 598.794 * * [simplify]: Extracting #4: cost 130 inf + 0 598.794 * * [simplify]: Extracting #5: cost 206 inf + 0 598.795 * * [simplify]: Extracting #6: cost 276 inf + 1306 598.797 * * [simplify]: Extracting #7: cost 195 inf + 17078 598.804 * * [simplify]: Extracting #8: cost 106 inf + 47519 598.815 * * [simplify]: Extracting #9: cost 51 inf + 68118 598.834 * * [simplify]: Extracting #10: cost 7 inf + 112938 599.287 * * [simplify]: Extracting #11: cost 0 inf + 123233 599.311 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 599.311 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 599.312 * * * * [progress]: [ 2099 / 5906 ] simplifiying candidate # 599.312 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 599.313 * * [simplify]: iters left: 6 (52 enodes) 599.325 * * [simplify]: iters left: 5 (253 enodes) 599.386 * * [simplify]: Extracting #0: cost 1 inf + 0 599.386 * * [simplify]: Extracting #1: cost 3 inf + 0 599.386 * * [simplify]: Extracting #2: cost 6 inf + 0 599.386 * * [simplify]: Extracting #3: cost 60 inf + 0 599.386 * * [simplify]: Extracting #4: cost 153 inf + 0 599.387 * * [simplify]: Extracting #5: cost 219 inf + 126 599.389 * * [simplify]: Extracting #6: cost 246 inf + 6431 599.392 * * [simplify]: Extracting #7: cost 193 inf + 17309 599.398 * * [simplify]: Extracting #8: cost 124 inf + 38694 599.409 * * [simplify]: Extracting #9: cost 57 inf + 68905 599.422 * * [simplify]: Extracting #10: cost 35 inf + 83575 599.444 * * [simplify]: Extracting #11: cost 2 inf + 122480 599.470 * * [simplify]: Extracting #12: cost 0 inf + 125770 599.495 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ lambda2 lambda1))))) 599.495 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ lambda2 lambda1))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 599.495 * * * * [progress]: [ 2100 / 5906 ] simplifiying candidate # 599.495 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 599.496 * * [simplify]: iters left: 6 (52 enodes) 599.509 * * [simplify]: iters left: 5 (253 enodes) 599.561 * * [simplify]: Extracting #0: cost 1 inf + 0 599.561 * * [simplify]: Extracting #1: cost 3 inf + 0 599.561 * * [simplify]: Extracting #2: cost 6 inf + 0 599.561 * * [simplify]: Extracting #3: cost 62 inf + 0 599.561 * * [simplify]: Extracting #4: cost 151 inf + 0 599.562 * * [simplify]: Extracting #5: cost 216 inf + 44 599.563 * * [simplify]: Extracting #6: cost 252 inf + 5332 599.566 * * [simplify]: Extracting #7: cost 206 inf + 13192 599.571 * * [simplify]: Extracting #8: cost 150 inf + 29656 599.579 * * [simplify]: Extracting #9: cost 92 inf + 54419 599.591 * * [simplify]: Extracting #10: cost 50 inf + 71592 599.612 * * [simplify]: Extracting #11: cost 11 inf + 111407 599.635 * * [simplify]: Extracting #12: cost 1 inf + 123857 599.660 * * [simplify]: Extracting #13: cost 0 inf + 126002 599.684 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))) (* (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ lambda2 lambda1))))) 599.684 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))) (* (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ lambda2 lambda1))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 599.685 * * * * [progress]: [ 2101 / 5906 ] simplifiying candidate # 599.685 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 599.685 * * [simplify]: iters left: 6 (46 enodes) 599.697 * * [simplify]: iters left: 5 (217 enodes) 599.741 * * [simplify]: Extracting #0: cost 1 inf + 0 599.741 * * [simplify]: Extracting #1: cost 3 inf + 0 599.741 * * [simplify]: Extracting #2: cost 6 inf + 0 599.741 * * [simplify]: Extracting #3: cost 54 inf + 0 599.741 * * [simplify]: Extracting #4: cost 119 inf + 0 599.741 * * [simplify]: Extracting #5: cost 162 inf + 127 599.743 * * [simplify]: Extracting #6: cost 211 inf + 3061 599.744 * * [simplify]: Extracting #7: cost 179 inf + 9101 599.749 * * [simplify]: Extracting #8: cost 113 inf + 28217 599.758 * * [simplify]: Extracting #9: cost 52 inf + 58854 599.775 * * [simplify]: Extracting #10: cost 6 inf + 94764 599.796 * * [simplify]: Extracting #11: cost 0 inf + 100541 599.815 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ lambda2 lambda1)))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) 599.815 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ lambda2 lambda1)))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 599.816 * * * * [progress]: [ 2102 / 5906 ] simplifiying candidate # 599.816 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 599.816 * * [simplify]: iters left: 6 (51 enodes) 599.829 * * [simplify]: iters left: 5 (245 enodes) 599.878 * * [simplify]: Extracting #0: cost 1 inf + 0 599.878 * * [simplify]: Extracting #1: cost 3 inf + 0 599.878 * * [simplify]: Extracting #2: cost 10 inf + 0 599.879 * * [simplify]: Extracting #3: cost 74 inf + 0 599.879 * * [simplify]: Extracting #4: cost 137 inf + 1 599.879 * * [simplify]: Extracting #5: cost 184 inf + 290 599.880 * * [simplify]: Extracting #6: cost 241 inf + 2417 599.882 * * [simplify]: Extracting #7: cost 188 inf + 13829 599.888 * * [simplify]: Extracting #8: cost 120 inf + 35682 599.898 * * [simplify]: Extracting #9: cost 58 inf + 61083 599.911 * * [simplify]: Extracting #10: cost 25 inf + 86247 599.932 * * [simplify]: Extracting #11: cost 1 inf + 113167 599.956 * * [simplify]: Extracting #12: cost 0 inf + 115112 599.978 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 599.978 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 599.979 * * * * [progress]: [ 2103 / 5906 ] simplifiying candidate # 599.979 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 599.979 * * [simplify]: iters left: 6 (46 enodes) 599.990 * * [simplify]: iters left: 5 (217 enodes)